CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV331-1 : 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 : n016.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 05:21:40 PM UTC 2026

% Result   : Unsatisfiable 3.87s 2.78s
% Output   : CNFRefutation 13.24s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_2967)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Wellfounded__Recursion_Oacyclic__insert_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/MSC001-1.ax',cls_Wellfounded__Recursion_Oacyclic__insert_1) ).

cnf(cls_Transitive__Closure_Otrancl__reflcl_0,axiom,
    c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Otrancl__reflcl_0) ).

cnf(cls_Wellfounded__Recursion_Owf__insert_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/MSC001-1.ax',cls_Wellfounded__Recursion_Owf__insert_1) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__insert_2,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/MSC001-1.ax',cls_Wellfounded__Recursion_Oacyclic__insert_2) ).

cnf(cls_Wellfounded__Recursion_Owf__insert_2,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/MSC001-1.ax',cls_Wellfounded__Recursion_Owf__insert_2) ).

cnf(cls_Transitive__Closure_Ortrancl__idemp__self__comp_0,axiom,
    c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Ortrancl__idemp__self__comp_0) ).

cnf(cls_Datatype__Universe_Ontrunc__Scons_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OScons(X2,X3,X4,X5),X4,X5) = c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(X1,X2,X4,X5),c_Datatype__Universe_Ontrunc(X1,X3,X4,X5),X4,X5),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__Scons_0) ).

cnf(cls_SetInterval_Ocard__atMost_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atMost_0) ).

cnf(cls_NatSimprocs_OSuc__div__eq__add3__div__number__of_0,axiom,
    c_div(c_Suc(c_Suc(c_Suc(X1))),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_OSuc__div__eq__add3__div__number__of_0) ).

cnf(cls_NatSimprocs_OSuc__mod__eq__add3__mod__number__of_0,axiom,
    c_Divides_Oop_Amod(c_Suc(c_Suc(c_Suc(X1))),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_OSuc__mod__eq__add3__mod__number__of_0) ).

cnf(cls_NatSimprocs_Odiv__Suc__eq__div__add3_0,axiom,
    c_div(X1,c_Suc(c_Suc(c_Suc(X2))),tc_nat) = c_div(X1,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odiv__Suc__eq__div__add3_0) ).

cnf(cls_NatSimprocs_Omod__Suc__eq__mod__add3_0,axiom,
    c_Divides_Oop_Amod(X1,c_Suc(c_Suc(c_Suc(X2))),tc_nat) = c_Divides_Oop_Amod(X1,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omod__Suc__eq__mod__add3_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__Power_Orelpow_Osimps__2_0,axiom,
    c_Nat_Opower(X1,c_Suc(X2),tc_set(tc_prod(X3,X3))) = c_Relation_Orel__comp(X1,c_Nat_Opower(X1,X2,tc_set(tc_prod(X3,X3))),X3,X3,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation__Power_Orelpow_Osimps__2_0) ).

cnf(cls_Datatype__Universe_Ontrunc__In1_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(X1)),c_Datatype__Universe_OIn1(X2,X3,X4),X3,X4) = c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Suc(X1),X2,X3,X4),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__In1_0) ).

cnf(cls_Datatype__Universe_Ontrunc__In0_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(X1)),c_Datatype__Universe_OIn0(X2,X3,X4),X3,X4) = c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Suc(X1),X2,X3,X4),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__In0_0) ).

cnf(cls_NatSimprocs_Odiv2__Suc__Suc_0,axiom,
    c_div(c_Suc(c_Suc(X1)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_div(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odiv2__Suc__Suc_0) ).

cnf(cls_List_Otake__append_0,axiom,
    c_List_Otake(X1,c_append(X2,X3,X4),X4) = c_append(c_List_Otake(X1,X2,X4),c_List_Otake(c_minus(X1,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__append_0) ).

cnf(cls_List_Osublist__upt__eq__take_0,axiom,
    c_List_Osublist(X1,c_SetInterval_OlessThan(X2,tc_nat),X3) = c_List_Otake(X2,X1,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Osublist__upt__eq__take_0) ).

cnf(cls_Message_Oanalz__insert__HPair_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_OHPair(X1,X2),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__insert__HPair_0) ).

cnf(cls_Message_OHPair__eq__MPair_2,axiom,
    c_Message_OHPair(X1,X2) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__eq__MPair_2) ).

cnf(cls_Message_Oparts__insert__HPair_0,axiom,
    c_Message_Oparts(c_insert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_OHPair(X1,X2),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__insert__HPair_0) ).

cnf(cls_Set_Oinsert__inter__insert_0,axiom,
    c_inter(c_insert(X1,X2,X3),c_insert(X1,X4,X3),X3) = c_insert(X1,c_inter(X2,X4,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__inter__insert_0) ).

cnf(cls_Relation_OImage__diag_0,axiom,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2) = c_inter(X1,X3,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_OImage__diag_0) ).

cnf(cls_Set_Oinsert__disjoint__1_1,axiom,
    ( c_inter(X2,X4,X3) = c_emptyset
    | c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__disjoint__1_1) ).

cnf(cls_Set_Oinsert__disjoint__2_1,axiom,
    ( c_emptyset = c_inter(X2,X4,X3)
    | c_emptyset != c_inter(c_insert(X1,X2,X3),X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__disjoint__2_1) ).

cnf(cls_List_Otake__Cons__number__of_1,axiom,
    ( c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4),X4)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__Cons__number__of_1) ).

cnf(cls_Transitive__Closure_Ortrancl__idemp_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Ortrancl__idemp_0) ).

cnf(cls_Set_OInt__subset__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X4))
    | ~ c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__subset__iff_0) ).

cnf(cls_Set_OInt__subset__iff_1,axiom,
    ( c_lessequals(X1,X3,tc_set(X4))
    | ~ c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__subset__iff_1) ).

cnf(cls_Set_OInt__iff_0,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__iff_0) ).

cnf(cls_Set_OInt__iff_1,axiom,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__iff_1) ).

cnf(cls_Set_Oinsert__disjoint__1_2,axiom,
    ( c_in(X4,X2,X3)
    | c_inter(c_insert(X4,X1,X3),X2,X3) = c_emptyset
    | c_inter(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__disjoint__1_2) ).

cnf(cls_Set_Oinsert__disjoint__2_2,axiom,
    ( c_in(X4,X2,X3)
    | c_emptyset = c_inter(c_insert(X4,X1,X3),X2,X3)
    | c_emptyset != c_inter(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__disjoint__2_2) ).

cnf(cls_Set_OPow__Int__eq_0,axiom,
    c_Pow(c_inter(X1,X2,X3),X3) = c_inter(c_Pow(X1,X3),c_Pow(X2,X3),tc_set(X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OPow__Int__eq_0) ).

cnf(cls_List_Olists__Int__eq_0,axiom,
    c_List_Olists(c_inter(X1,X2,X3),X3) = c_inter(c_List_Olists(X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olists__Int__eq_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_Set_Odisjoint__insert__1_1,axiom,
    ( c_inter(X1,X3,X4) = c_emptyset
    | c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Odisjoint__insert__1_1) ).

cnf(cls_Set_Odisjoint__insert__2_1,axiom,
    ( c_emptyset = c_inter(X1,X3,X4)
    | c_emptyset != c_inter(X1,c_insert(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Odisjoint__insert__2_1) ).

cnf(cls_Set_Odisjoint__insert__1_2,axiom,
    ( c_in(X4,X1,X3)
    | c_inter(X1,c_insert(X4,X2,X3),X3) = c_emptyset
    | c_inter(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Odisjoint__insert__1_2) ).

cnf(cls_Set_Odisjoint__insert__2_2,axiom,
    ( c_in(X4,X1,X3)
    | c_emptyset = c_inter(X1,c_insert(X4,X2,X3),X3)
    | c_emptyset != c_inter(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Odisjoint__insert__2_2) ).

cnf(cls_Set_Oinsert__disjoint__1_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_inter(c_insert(X1,X4,X3),X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__disjoint__1_0) ).

cnf(cls_Set_Oinsert__disjoint__2_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_emptyset != c_inter(c_insert(X1,X4,X3),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__disjoint__2_0) ).

cnf(cls_NatArith_Odiff__Suc__diff__eq2_0,axiom,
    ( c_minus(c_Suc(c_minus(X2,X1,tc_nat)),X3,tc_nat) = c_minus(c_Suc(X2),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Odiff__Suc__diff__eq2_0) ).

cnf(cls_NatArith_Odiff__Suc__diff__eq1_0,axiom,
    ( c_minus(X3,c_Suc(c_minus(X2,X1,tc_nat)),tc_nat) = c_minus(c_plus(X3,X1,tc_nat),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Odiff__Suc__diff__eq1_0) ).

cnf(cls_Set_OInt__subset__iff_2,axiom,
    ( c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__subset__iff_2) ).

cnf(cls_Set_OInt__iff_2,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/MSC001-1.ax',cls_Set_OInt__iff_2) ).

cnf(cls_NatSimprocs_Omod2__Suc__Suc_0,axiom,
    c_Divides_Oop_Amod(c_Suc(c_Suc(X1)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omod2__Suc__Suc_0) ).

cnf(cls_List_Odistinct__append_3,axiom,
    ( c_List_Odistinct(c_append(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(X3,X2)
    | c_inter(c_List_Oset(X3,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__append_3) ).

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_Set_OCompl__Int_0,axiom,
    c_uminus(c_inter(X1,X2,X3),tc_set(X3)) = c_union(c_uminus(X1,tc_set(X3)),c_uminus(X2,tc_set(X3)),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__Int_0) ).

cnf(cls_Set_Odisjoint__insert__1_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_inter(X2,c_insert(X1,X4,X3),X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Odisjoint__insert__1_0) ).

cnf(cls_Set_Odisjoint__insert__2_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_emptyset != c_inter(X2,c_insert(X1,X4,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Odisjoint__insert__2_0) ).

cnf(cls_IntArith_Oarith__special__15_0,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__15_0) ).

cnf(cls_Numeral_Obin__mult__Min_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OMin,X1) = c_Numeral_Obin__minus(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__mult__Min_0) ).

cnf(cls_Transitive__Closure_Ortrancl__reflcl_0,axiom,
    c_Transitive__Closure_Ortrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Ortrancl__reflcl_0) ).

cnf(cls_IntArith_Oarith__special__13_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_1,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__13_1) ).

cnf(cls_GCD_Ogcd__1__left_0,axiom,
    c_GCD_Ogcd(c_Pair(c_Suc(c_0),X1,tc_nat,tc_nat)) = c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__1__left_0) ).

cnf(cls_GCD_Ogcd__1_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_Suc(c_0),tc_nat,tc_nat)) = c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__1_0) ).

cnf(cls_Message_OHPair__synth__analz_2,axiom,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_OHPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__synth__analz_2) ).

cnf(cls_Nat_OSuc__pred_0,axiom,
    ( c_Suc(c_minus(X1,c_Suc(c_0),tc_nat)) = X1
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OSuc__pred_0) ).

cnf(cls_IntDef_Onot__zle__0__negative_0,axiom,
    ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onot__zle__0__negative_0) ).

cnf(cls_IntArith_Oarith__special__9_1,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__9_1) ).

cnf(cls_IntArith_Oarith__special__17_0,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__17_0) ).

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_List_Odistinct__append_2,axiom,
    ( c_inter(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3) = c_emptyset
    | ~ c_List_Odistinct(c_append(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__append_2) ).

cnf(cls_List_Otake__Suc__Cons_0,axiom,
    c_List_Otake(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__Suc__Cons_0) ).

cnf(cls_Message_OHPair__synth__analz_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__synth__analz_0) ).

cnf(cls_Nat_OSuc__diff__diff_0,axiom,
    c_minus(c_minus(c_Suc(X1),X2,tc_nat),c_Suc(X3),tc_nat) = c_minus(c_minus(X1,X2,tc_nat),X3,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OSuc__diff__diff_0) ).

cnf(cls_List_Otake__take_0,axiom,
    c_List_Otake(X1,c_List_Otake(X2,X3,X4),X4) = c_List_Otake(c_Orderings_Omin(X1,X2,tc_nat),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__take_0) ).

cnf(cls_Set_OCompl__Un_0,axiom,
    c_uminus(c_union(X1,X2,X3),tc_set(X3)) = c_inter(c_uminus(X1,tc_set(X3)),c_uminus(X2,tc_set(X3)),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__Un_0) ).

cnf(cls_NatBin_Oless__nat__number__of_4,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oless__nat__number__of_4) ).

cnf(cls_IntArith_Oarith__special__11_1,axiom,
    ( c_less(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__11_1) ).

cnf(cls_IntArith_Oarith__special__13_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__13_0) ).

cnf(cls_List_Oitrev_Osimps__2_0,axiom,
    c_List_Oitrev(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Oitrev(X2,c_List_Olist_OCons(X1,X4,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oitrev_Osimps__2_0) ).

cnf(cls_List_Oitrev_0,axiom,
    c_List_Oitrev(X1,X2,X3) = c_append(c_List_Orev(X1,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oitrev_0) ).

cnf(cls_Message_OHPair__synth__analz_1,axiom,
    ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__synth__analz_1) ).

cnf(cls_Datatype__Universe_Ontrunc__Atom_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OAtom(X2,X3,X4),X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__Atom_0) ).

cnf(cls_Datatype__Universe_Ontrunc__Numb_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_ONumb(X2,X3,X4),X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__Numb_0) ).

cnf(cls_Datatype__Universe_Ontrunc__Leaf_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OLeaf(X2,X3,X4),X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__Leaf_0) ).

cnf(cls_Numeral_Obin__rel__simps__13_0,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_Numeral_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__13_0) ).

cnf(cls_Numeral_Oadd__number__of__diff2_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_minus(X3,c_Numeral_Onumber__of(X4,X1),X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X4)),X1),X3,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Oadd__number__of__diff2_0) ).

cnf(cls_List_Otake__upt_0,axiom,
    ( c_List_Otake(X2,c_List_Oupt(X1,X3),tc_nat) = c_List_Oupt(X1,c_plus(X1,X2,tc_nat))
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__upt_0) ).

cnf(cls_IntArith_Oarith__special__15_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | c_lessequals(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__15_1) ).

cnf(cls_IntArith_Oarith__special__7_1,axiom,
    ( c_1 = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__7_1) ).

cnf(cls_Nat_Omin__Suc__Suc_0,axiom,
    c_Orderings_Omin(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Omin(X1,X2,tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omin__Suc__Suc_0) ).

cnf(cls_Nat_Omax__Suc__Suc_0,axiom,
    c_Orderings_Omax(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Omax(X1,X2,tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omax__Suc__Suc_0) ).

cnf(cls_Set_OInter__insert_0,axiom,
    c_Inter(c_insert(X1,X2,tc_set(X3)),X3) = c_inter(X1,c_Inter(X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__insert_0) ).

cnf(cls_Set_OInt__UNIV_0,axiom,
    ( X1 = c_UNIV
    | c_inter(X1,X2,X3) != c_UNIV ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__UNIV_0) ).

cnf(cls_Set_OInt__UNIV_1,axiom,
    ( X2 = c_UNIV
    | c_inter(X1,X2,X3) != c_UNIV ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__UNIV_1) ).

cnf(cls_NatBin_Oeq__nat__number__of_9,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_9) ).

cnf(cls_NatBin_Oeq__nat__number__of_12,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_12) ).

cnf(cls_IntArith_Oarith__special__16_0,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__16_0) ).

cnf(cls_Datatype__Universe_Ontrunc__one__In1_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__one__In1_0) ).

cnf(cls_Datatype__Universe_Ontrunc__one__In0_0,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__one__In0_0) ).

cnf(cls_NatBin_Oless__nat__number__of_2,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oless__nat__number__of_2) ).

cnf(cls_Numeral_Obin__rel__simps__6_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__6_1) ).

cnf(cls_IntArith_Oarith__special__14_0,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__14_0) ).

cnf(cls_IntArith_Oarith__special__11_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__11_0) ).

cnf(cls_NatBin_Oeq__nat__number__of_5,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_5) ).

cnf(cls_NatBin_Oeq__nat__number__of_7,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_7) ).

cnf(cls_Nat_Oone__le__mult__iff_0,axiom,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oone__le__mult__iff_0) ).

cnf(cls_Nat_Oone__le__mult__iff_1,axiom,
    ( c_lessequals(c_1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oone__le__mult__iff_1) ).

cnf(cls_Message_OkeysFor__insert__HPair_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OkeysFor__insert__HPair_0) ).

cnf(cls_Binomial_Obinomial__Suc__Suc_0,axiom,
    c_Binomial_Obinomial(c_Suc(X1),c_Suc(X2)) = c_plus(c_Binomial_Obinomial(X1,X2),c_Binomial_Obinomial(X1,c_Suc(X2)),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Binomial_Obinomial__Suc__Suc_0) ).

cnf(cls_Set_ODiff__disjoint_0,axiom,
    c_inter(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__disjoint_0) ).

cnf(cls_Transitive__Closure_ORange__rtrancl_0,axiom,
    c_Relation_ORange(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_ORange__rtrancl_0) ).

cnf(cls_Transitive__Closure_ODomain__rtrancl_0,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_ODomain__rtrancl_0) ).

cnf(cls_Nat_Oone__le__mult__iff_2,axiom,
    ( c_lessequals(c_Suc(c_0),c_times(X2,X1,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oone__le__mult__iff_2) ).

cnf(cls_NatBin_Oeq__nat__number__of_3,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_3) ).

cnf(cls_Nat_Odiff__Suc__less_0,axiom,
    ( c_less(c_minus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__Suc__less_0) ).

cnf(cls_NatSimprocs_Oadd__2__eq__Suc_0,axiom,
    c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1,tc_nat) = c_Suc(c_Suc(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oadd__2__eq__Suc_0) ).

cnf(cls_NatSimprocs_Oadd__2__eq__Suc_H_0,axiom,
    c_plus(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_Suc(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oadd__2__eq__Suc_H_0) ).

cnf(cls_IntArith_Oarith__special__10_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__10_1) ).

cnf(cls_IntArith_Oarith__special__9_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__9_0) ).

cnf(cls_Set_ODiff__Compl_0,axiom,
    c_minus(X1,c_uminus(X2,tc_set(X3)),tc_set(X3)) = c_inter(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__Compl_0) ).

cnf(cls_NatBin_Oless__nat__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oless__nat__number__of_1) ).

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_Numeral_Obin__rel__simps__6_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__6_0) ).

cnf(cls_Nat_Oop_A_L_Oadd__Suc_0,axiom,
    c_plus(c_Suc(X1),X2,tc_nat) = c_Suc(c_plus(X1,X2,tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oop_A_L_Oadd__Suc_0) ).

cnf(cls_Nat_Oadd__Suc__right_0,axiom,
    c_plus(X1,c_Suc(X2),tc_nat) = c_Suc(c_plus(X1,X2,tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oadd__Suc__right_0) ).

cnf(cls_IntArith_Oarith__special__12_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__12_1) ).

cnf(cls_IntArith_Oarith__special__17_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_1,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__17_1) ).

cnf(cls_Finite__Set_Ocard__insert__disjoint_0,axiom,
    ( c_in(X3,X1,X2)
    | c_Finite__Set_Ocard(c_insert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Ocard__insert__disjoint_0) ).

cnf(cls_Nat_OSuc__less__eq_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OSuc__less__eq_0) ).

cnf(cls_Nat_OSuc__le__mono_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OSuc__le__mono_0) ).

cnf(cls_Set_OCompl__disjoint2_0,axiom,
    c_inter(c_uminus(X1,tc_set(X2)),X1,X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__disjoint2_0) ).

cnf(cls_Message_Omsg_Osize__6_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OMPair(X1,X2),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Nat_Osize(X2,tc_Message_Omsg),tc_nat),c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Osize__6_0) ).

cnf(cls_List_Oupt_Oupt__Suc_0,axiom,
    ( c_List_Oupt(X1,c_Suc(X2)) = c_append(c_List_Oupt(X1,X2),c_List_Olist_OCons(X2,c_List_Olist_ONil,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oupt_Oupt__Suc_0) ).

cnf(cls_List_Onth__take_0,axiom,
    ( c_List_Onth(c_List_Otake(X2,X3,X4),X1,X4) = c_List_Onth(X3,X1,X4)
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__take_0) ).

cnf(cls_List_Otake__replicate_0,axiom,
    c_List_Otake(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_Orderings_Omin(X1,X2,tc_nat),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__replicate_0) ).

cnf(cls_NatBin_Oone__mod__nat__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oone__mod__nat__number__of_1) ).

cnf(cls_Numeral_Obin__rel__simps__1_1,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_Numeral_Onumber__of(X3,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__1_1) ).

cnf(cls_IntDef_Oneg__zminus__int_0,axiom,
    c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oneg__zminus__int_0) ).

cnf(cls_IntArith_Oarith__special__10_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__10_0) ).

cnf(cls_List_Oappend__take__drop__id_0,axiom,
    c_append(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__take__drop__id_0) ).

cnf(cls_Set_OCompl__disjoint_0,axiom,
    c_inter(X1,c_uminus(X1,tc_set(X2)),X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__disjoint_0) ).

cnf(cls_IntArith_Oarith__special__12_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__12_0) ).

cnf(cls_Numeral_Obin__rel__simps__13_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__13_1) ).

cnf(cls_Power_Onat__one__le__power_0,axiom,
    ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Onat__one__le__power_0) ).

cnf(cls_IntArith_Oarith__special__6_1,axiom,
    ( c_0 = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__6_1) ).

cnf(cls_NatBin_Oless__nat__number__of_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oless__nat__number__of_0) ).

cnf(cls_IntArith_Oarith__special__7_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_1 != c_Numeral_Onumber__of(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__7_0) ).

cnf(cls_IntArith_Oarith__special__8_1,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__8_1) ).

cnf(cls_NatBin_Oeq__nat__number__of_2,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_2) ).

cnf(cls_NatBin_Oone__div__nat__number__of_0,axiom,
    c_div(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oone__div__nat__number__of_0) ).

cnf(cls_List_Odrop__Suc__Cons_0,axiom,
    c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__Suc__Cons_0) ).

cnf(cls_List_Onth__Cons__Suc_0,axiom,
    c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X3) = c_List_Onth(X2,X4,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__Cons__Suc_0) ).

cnf(cls_List_Oreplicate_Oreplicate__Suc_0,axiom,
    c_List_Oreplicate(c_Suc(X1),X2,X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oreplicate_Oreplicate__Suc_0) ).

cnf(cls_NatBin_Oless__nat__number__of_3,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oless__nat__number__of_3) ).

cnf(cls_List_Olist_Osize__2_0,axiom,
    c_Nat_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_plus(c_Nat_Osize(X2,tc_List_Olist(X3)),c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist_Osize__2_0) ).

cnf(cls_Nat_Oop_A_K_Omult__Suc_0,axiom,
    c_times(c_Suc(X1),X2,tc_nat) = c_plus(X2,c_times(X1,X2,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oop_A_K_Omult__Suc_0) ).

cnf(cls_IntDiv_Opower_Osimps__2_0,axiom,
    c_Nat_Opower(X1,c_Suc(X2),tc_IntDef_Oint) = c_times(X1,c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Opower_Osimps__2_0) ).

cnf(cls_Power_Opower_Osimps__2_0,axiom,
    c_Nat_Opower(X1,c_Suc(X2),tc_nat) = c_times(X1,c_Nat_Opower(X1,X2,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower_Osimps__2_0) ).

cnf(cls_Nat_Omult__Suc__right_0,axiom,
    c_times(X1,c_Suc(X2),tc_nat) = c_plus(X1,c_times(X1,X2,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__Suc__right_0) ).

cnf(cls_Nat_OSuc__less__eq_1,axiom,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OSuc__less__eq_1) ).

cnf(cls_Nat_OSuc__le__mono_1,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OSuc__le__mono_1) ).

cnf(cls_Transitive__Closure_Oreflcl__trancl_0,axiom,
    c_union(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId,tc_prod(X2,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Oreflcl__trancl_0) ).

cnf(cls_Set_OInt__absorb_0,axiom,
    c_inter(X1,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__absorb_0) ).

cnf(cls_Set_OInt__UNIV__right_0,axiom,
    c_inter(X1,c_UNIV,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__UNIV__right_0) ).

cnf(cls_Set_OInt__empty__right_0,axiom,
    c_inter(X1,c_emptyset,X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__empty__right_0) ).

cnf(cls_Set_OInt__UNIV__left_0,axiom,
    c_inter(c_UNIV,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__UNIV__left_0) ).

cnf(cls_IntArith_Oarith__special__16_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__16_1) ).

cnf(cls_Set_OInt__empty__left_0,axiom,
    c_inter(c_emptyset,X1,X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__empty__left_0) ).

cnf(cls_Set_OInt__UNIV_2,axiom,
    c_inter(c_UNIV,c_UNIV,X1) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInt__UNIV_2) ).

cnf(cls_Numeral_Ominus__number__of__mult_0,axiom,
    ( c_times(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),X1),X3,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Ominus__number__of__mult_0) ).

cnf(cls_IntArith_Oarith__special__14_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__14_1) ).

cnf(cls_List_Olength__take_0,axiom,
    c_Nat_Osize(c_List_Otake(X1,X2,X3),tc_List_Olist(X3)) = c_Orderings_Omin(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__take_0) ).

cnf(cls_IntArith_Oarith__special__5_0,axiom,
    ( c_minus(c_Numeral_Onumber__of(X2,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__5_0) ).

cnf(cls_List_Otake__Cons__number__of_0,axiom,
    ( c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__Cons__number__of_0) ).

cnf(cls_List_Orotate__Suc_0,axiom,
    c_List_Orotate(c_Suc(X1),X2,X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orotate__Suc_0) ).

cnf(cls_IntArith_Oone__less__nat__eq_0,axiom,
    ( c_less(c_1,X1,tc_IntDef_Oint)
    | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oone__less__nat__eq_0) ).

cnf(cls_Nat_Odiff__Suc__Suc_0,axiom,
    c_minus(c_Suc(X1),c_Suc(X2),tc_nat) = c_minus(X1,X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__Suc__Suc_0) ).

cnf(cls_SetInterval_Ocard__atLeastAtMost_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),tc_nat) = c_minus(c_Suc(X2),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atLeastAtMost_0) ).

cnf(cls_SetInterval_Ocard__greaterThanLessThan_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat) = c_minus(X2,c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__greaterThanLessThan_0) ).

cnf(cls_Numeral_Obin__rel__simps__1_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_Numeral_Onumber__of(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__1_0) ).

cnf(cls_Message_OHPair__eq_0,axiom,
    ( X1 = X3
    | c_Message_OHPair(X1,X2) != c_Message_OHPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__eq_0) ).

cnf(cls_Message_OHPair__eq_1,axiom,
    ( X2 = X4
    | c_Message_OHPair(X1,X2) != c_Message_OHPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__eq_1) ).

cnf(cls_NatBin_Oone__mod__nat__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Suc(c_0)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oone__mod__nat__number__of_0) ).

cnf(cls_List_Otake__all_0,axiom,
    ( c_List_Otake(X3,X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__all_0) ).

cnf(cls_Divides_Odvd__1__iff__1_0,axiom,
    ( X1 = c_Suc(c_0)
    | ~ c_Divides_Oop_Advd(X1,c_Suc(c_0),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odvd__1__iff__1_0) ).

cnf(cls_IntArith_Oarith__special__4_0,axiom,
    ( c_minus(c_1,c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__4_0) ).

cnf(cls_IntArith_Oarith__special__6_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_0 != c_Numeral_Onumber__of(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__6_0) ).

cnf(cls_IntArith_Oone__less__nat__eq_1,axiom,
    ( c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_1,X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oone__less__nat__eq_1) ).

cnf(cls_NatBin_Oless__0__number__of_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oless__0__number__of_1) ).

cnf(cls_IntArith_Oarith__special__8_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__8_0) ).

cnf(cls_Numeral_Obin__arith__extra__simps__5_0,axiom,
    ( c_minus(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__arith__extra__simps__5_0) ).

cnf(cls_NatBin_Oless__0__number__of_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oless__0__number__of_0) ).

cnf(cls_Public_OpriK__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_OinitState(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpriK__in__initState_0) ).

cnf(cls_Event_Oknows_Oknows__Nil_0,axiom,
    c_Event_Oknows(X1,c_List_Olist_ONil) = c_Event_OinitState(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oknows_Oknows__Nil_0) ).

cnf(cls_List_Odistinct__take_0,axiom,
    ( c_List_Odistinct(c_List_Otake(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__take_0) ).

cnf(cls_Nat_Oless__Suc0_0,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oless__Suc0_0) ).

cnf(cls_Divides_Odvd__1__iff__1_1,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odvd__1__iff__1_1) ).

cnf(cls_Message_Omsg_Osize__7_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OCrypt(X1,X2),tc_Message_Omsg) = c_plus(c_Nat_Osize(X2,tc_Message_Omsg),c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Osize__7_0) ).

cnf(cls_Public_ONonce__notin__initState_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_ONonce__notin__initState_0) ).

cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom,
    c_SetInterval_OatLeastLessThan(X1,c_Suc(X1),tc_nat) = c_insert(X1,c_emptyset,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastLessThan__singleton_0) ).

cnf(cls_NatArith_Oof__nat_Oof__nat__Suc_0,axiom,
    ( c_NatArith_Oof__nat(c_Suc(X2),X1) = c_plus(c_NatArith_Oof__nat(X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat_Oof__nat__Suc_0) ).

cnf(cls_Transitive__Closure_Ortrancl__empty_0,axiom,
    c_Transitive__Closure_Ortrancl(c_emptyset,X1) = c_Relation_OId,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Ortrancl__empty_0) ).

cnf(cls_Message_OMPair__eq__HPair_0,axiom,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4))
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_OHPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__eq__HPair_0) ).

cnf(cls_Message_OHPair__eq__MPair_0,axiom,
    ( X3 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2))
    | c_Message_OHPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__eq__MPair_0) ).

cnf(cls_Message_Omsg_Osize__5_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OHash(X1),tc_Message_Omsg) = c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Osize__5_0) ).

cnf(cls_Parity_Oeven__nat__Suc_0,axiom,
    ( ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Suc(X1),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__Suc_0) ).

cnf(cls_NatBin_OSuc__nat__number__of_0,axiom,
    ( c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_1
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_OSuc__nat__number__of_0) ).

cnf(cls_NatBin_Oeq__nat__number__of_11,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_11) ).

cnf(cls_Message_OHPair__eq__MPair_1,axiom,
    ( X4 = X2
    | c_Message_OHPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__eq__MPair_1) ).

cnf(cls_Message_OMPair__eq__HPair_1,axiom,
    ( X2 = X4
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_OHPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__eq__HPair_1) ).

cnf(cls_List_Oupt_Oupt__Suc_1,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_List_Oupt(X1,c_Suc(X2)) = c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oupt_Oupt__Suc_1) ).

cnf(cls_Nat_Oone__eq__mult__iff_0,axiom,
    ( X1 = c_1
    | c_Suc(c_0) != c_times(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oone__eq__mult__iff_0) ).

cnf(cls_Nat_Oone__eq__mult__iff_1,axiom,
    ( X2 = c_1
    | c_Suc(c_0) != c_times(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oone__eq__mult__iff_1) ).

cnf(cls_Nat_Omult__eq__1__iff_0,axiom,
    ( X1 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__eq__1__iff_0) ).

cnf(cls_Nat_Omult__eq__1__iff_1,axiom,
    ( X2 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__eq__1__iff_1) ).

cnf(cls_NatBin_OSuc__nat__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X1),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_OSuc__nat__number__of_1) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_ACrypt_AK2_AX_H2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash_91X2_93_AY2_A_61_ACrypt_AK2_AX_H2_A_61_61_AFalse_0) ).

cnf(cls_Message_OHPair__neqs__6_0,axiom,
    c_Message_Omsg_OCrypt(X1,X2) != c_Message_OHPair(X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__neqs__6_0) ).

cnf(cls_Public_OpublicKey__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_OinitState(X3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpublicKey__in__initState_0) ).

cnf(cls_IntDef_Oint__Suc_0,axiom,
    c_IntDef_Oint(c_Suc(X1)) = c_plus(c_1,c_IntDef_Oint(X1),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__Suc_0) ).

cnf(cls_Power_Opower__0__Suc_0,axiom,
    ( c_Nat_Opower(c_0,c_Suc(X2),X1) = c_0
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__0__Suc_0) ).

cnf(cls_List_Otake__eq__Nil_0,axiom,
    ( X1 = c_0
    | X2 = c_List_Olist_ONil
    | c_List_Otake(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__eq__Nil_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_Message_OHash_91X2_93_AY2_A_61_ANumber_AN2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_ONumber(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash_91X2_93_AY2_A_61_ANumber_AN2_A_61_61_AFalse_0) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_ANonce_AN2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_ONonce(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash_91X2_93_AY2_A_61_ANonce_AN2_A_61_61_AFalse_0) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_AKey_AK2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_OKey(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash_91X2_93_AY2_A_61_AKey_AK2_A_61_61_AFalse_0) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_AHash_AZ2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_OHash(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash_91X2_93_AY2_A_61_AHash_AZ2_A_61_61_AFalse_0) ).

cnf(cls_Message_OHash_91X2_93_AY2_A_61_AAgent_AA2_A_61_61_AFalse_0,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_OAgent(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash_91X2_93_AY2_A_61_AAgent_AA2_A_61_61_AFalse_0) ).

cnf(cls_Message_OHPair__neqs__3_0,axiom,
    c_Message_Omsg_ONumber(X1) != c_Message_OHPair(X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__neqs__3_0) ).

cnf(cls_Message_OHPair__neqs__2_0,axiom,
    c_Message_Omsg_ONonce(X1) != c_Message_OHPair(X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__neqs__2_0) ).

cnf(cls_Message_OHPair__neqs__4_0,axiom,
    c_Message_Omsg_OKey(X1) != c_Message_OHPair(X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__neqs__4_0) ).

cnf(cls_Message_OHPair__neqs__5_0,axiom,
    c_Message_Omsg_OHash(X1) != c_Message_OHPair(X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__neqs__5_0) ).

cnf(cls_Message_OHPair__neqs__1_0,axiom,
    c_Message_Omsg_OAgent(X1) != c_Message_OHPair(X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHPair__neqs__1_0) ).

cnf(cls_Binomial_Obinomial__Suc__n_0,axiom,
    c_Binomial_Obinomial(c_Suc(X1),X1) = c_Suc(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Binomial_Obinomial__Suc__n_0) ).

cnf(cls_Numeral_Obin__minus__1_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__pred(c_Numeral_Obin__minus(X1)),c_Numeral_Obit_OB1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__minus__1_0) ).

cnf(cls_Numeral_Obin__add__Min__right_0,axiom,
    c_Numeral_Obin__add(X1,c_Numeral_OMin) = c_Numeral_Obin__pred(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__add__Min__right_0) ).

cnf(cls_Divides_Odiv__1_0,axiom,
    c_div(X1,c_Suc(c_0),tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__1_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_Divides_Omod__1_0,axiom,
    c_Divides_Oop_Amod(X1,c_Suc(c_0),tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__1_0) ).

cnf(cls_Nat_Oless__Suc0_1,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oless__Suc0_1) ).

cnf(cls_Nat_OSuc__Suc__eq_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OSuc__Suc__eq_0) ).

cnf(cls_Parity_Oeven__nat__Suc_1,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_Suc(X1),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__Suc_1) ).

cnf(cls_Public_OshrK__in__initState_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OshrK__in__initState_0) ).

cnf(cls_Numeral_Obin__arith__extra__simps__2_0,axiom,
    ( c_uminus(c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__arith__extra__simps__2_0) ).

cnf(cls_Nat_Oone__eq__mult__iff_2,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oone__eq__mult__iff_2) ).

cnf(cls_Nat_Omult__eq__1__iff_2,axiom,
    c_times(c_1,c_1,tc_nat) = c_Suc(c_0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__eq__1__iff_2) ).

cnf(cls_Binomial_Obinomial__0__Suc_0,axiom,
    c_Binomial_Obinomial(c_0,c_Suc(X1)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Binomial_Obinomial__0__Suc_0) ).

cnf(cls_List_Oitrev_Osimps__1_0,axiom,
    c_List_Oitrev(c_List_Olist_ONil,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oitrev_Osimps__1_0) ).

cnf(cls_Binomial_Obinomial__1_0,axiom,
    c_Binomial_Obinomial(X1,c_Suc(c_0)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Binomial_Obinomial__1_0) ).

cnf(cls_List_Otake__eq__Nil_2,axiom,
    c_List_Otake(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__eq__Nil_2) ).

cnf(cls_List_Otake__eq__Nil_1,axiom,
    c_List_Otake(c_0,X1,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otake__eq__Nil_1) ).

cnf(cls_Numeral_Obin__pred__0_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__pred(X1),c_Numeral_Obit_OB1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__pred__0_0) ).

cnf(cls_Numeral_Obin__minus__0_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__minus(X1),c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__minus__0_0) ).

cnf(cls_Public_OkeysFor__parts__initState_0,axiom,
    c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(X1))) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OkeysFor__parts__initState_0) ).

cnf(cls_Nat_OSuc__not__Zero_0,axiom,
    c_Suc(X1) != c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OSuc__not__Zero_0) ).

cnf(cls_Nat_OZero__not__Suc_0,axiom,
    c_0 != c_Suc(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OZero__not__Suc_0) ).

cnf(cls_Numeral_Obin__pred__1_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(X1,c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__pred__1_0) ).

cnf(cls_IntArith_Onat__1_0,axiom,
    c_IntDef_Onat(c_1) = c_Suc(c_0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Onat__1_0) ).

cnf(cls_Nat_OOne__nat__def_0,axiom,
    c_1 = c_Suc(c_0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_OOne__nat__def_0) ).

cnf(cls_Numeral_Obin__add__Min_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OMin,X1) = c_Numeral_Obin__pred(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__add__Min_0) ).

cnf(cls_Numeral_Obin__minus__Min_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__minus__Min_0) ).

cnf(cls_Numeral_Obin__pred__Min_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__pred__Min_0) ).

cnf(cls_Numeral_Obin__minus__Pls_0,axiom,
    c_Numeral_Obin__minus(c_Numeral_OPls) = c_Numeral_OPls,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__minus__Pls_0) ).

cnf(cls_Numeral_Obin__pred__Pls_0,axiom,
    c_Numeral_Obin__pred(c_Numeral_OPls) = c_Numeral_OMin,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__pred__Pls_0) ).

cnf(cls_List_Onibble_Orecs__9_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble8,X17) = X9,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__9_0) ).

cnf(cls_List_Onibble_Orecs__8_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble7,X17) = X8,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__8_0) ).

cnf(cls_List_Onibble_Orecs__7_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble6,X17) = X7,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__7_0) ).

cnf(cls_List_Onibble_Orecs__6_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble5,X17) = X6,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__6_0) ).

cnf(cls_List_Onibble_Orecs__5_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble4,X17) = X5,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__5_0) ).

cnf(cls_List_Onibble_Orecs__4_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble3,X17) = X4,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__4_0) ).

cnf(cls_List_Onibble_Orecs__3_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble2,X17) = X3,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__3_0) ).

cnf(cls_List_Onibble_Orecs__2_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble1,X17) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__2_0) ).

cnf(cls_List_Onibble_Orecs__1_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble0,X17) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__1_0) ).

cnf(cls_List_Onibble_Orecs__16_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleF,X17) = X16,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__16_0) ).

cnf(cls_List_Onibble_Orecs__15_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleE,X17) = X15,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__15_0) ).

cnf(cls_List_Onibble_Orecs__14_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleD,X17) = X14,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__14_0) ).

cnf(cls_List_Onibble_Orecs__13_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleC,X17) = X13,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__13_0) ).

cnf(cls_List_Onibble_Orecs__12_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleB,X17) = X12,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__12_0) ).

cnf(cls_List_Onibble_Orecs__11_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleA,X17) = X11,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__11_0) ).

cnf(cls_List_Onibble_Orecs__10_0,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble9,X17) = X10,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Orecs__10_0) ).

cnf(cls_List_Onibble_Ocases__9_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble8,X17) = X9,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__9_0) ).

cnf(cls_List_Onibble_Ocases__8_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble7,X17) = X8,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__8_0) ).

cnf(cls_List_Onibble_Ocases__7_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble6,X17) = X7,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__7_0) ).

cnf(cls_List_Onibble_Ocases__6_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble5,X17) = X6,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__6_0) ).

cnf(cls_List_Onibble_Ocases__5_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble4,X17) = X5,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__5_0) ).

cnf(cls_List_Onibble_Ocases__4_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble3,X17) = X4,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__4_0) ).

cnf(cls_List_Onibble_Ocases__3_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble2,X17) = X3,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__3_0) ).

cnf(cls_List_Onibble_Ocases__2_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble1,X17) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__2_0) ).

cnf(cls_List_Onibble_Ocases__1_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble0,X17) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__1_0) ).

cnf(cls_List_Onibble_Ocases__16_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleF,X17) = X16,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__16_0) ).

cnf(cls_List_Onibble_Ocases__15_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleE,X17) = X15,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__15_0) ).

cnf(cls_List_Onibble_Ocases__14_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleD,X17) = X14,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__14_0) ).

cnf(cls_List_Onibble_Ocases__13_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleC,X17) = X13,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__13_0) ).

cnf(cls_List_Onibble_Ocases__12_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleB,X17) = X12,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__12_0) ).

cnf(cls_List_Onibble_Ocases__11_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleA,X17) = X11,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__11_0) ).

cnf(cls_List_Onibble_Ocases__10_0,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble9,X17) = X10,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Ocases__10_0) ).

cnf(cls_Yahalom_OB__trusts__YM4__shrK_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X3,X2,X4,X1)),c_Message_Omsg_ONonce(v_sko__2jj(X3,X2,X4,X1)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Yahalom_OB__trusts__YM4__shrK_0) ).

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_Yahalom_OKeyWithNonce__Says_1,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X6)
    | X5 = c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X4,X1,X2,X5)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(v_sko__2Va(X4,X1,X2,X5),c_Message_Omsg_ONonce(X2))))),v_sko__2Vb(X4,X1,X2,X5))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X6,tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OKeyWithNonce__Says_1) ).

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_Yahalom_Ounique__session__keys_0,axiom,
    ( X8 = X2
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Yahalom_Ounique__session__keys_0) ).

cnf(cls_Yahalom_Ounique__session__keys_1,axiom,
    ( X9 = X3
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Yahalom_Ounique__session__keys_1) ).

cnf(cls_Yahalom_Ounique__session__keys_2,axiom,
    ( X10 = X5
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Yahalom_Ounique__session__keys_2) ).

cnf(cls_Yahalom_Ounique__session__keys_3,axiom,
    ( X11 = X6
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Yahalom_Ounique__session__keys_3) ).

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_Yahalom_OKeyWithNonce__Says_2,axiom,
    c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_ONonce(X2))))),X6)),X7,tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OKeyWithNonce__Says_2) ).

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_IntDef_Ointrel__iff_0,axiom,
    ( c_plus(X1,X4,tc_nat) = c_plus(X3,X2,tc_nat)
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_nat,tc_nat),c_Pair(X3,X4,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ointrel__iff_0) ).

cnf(cls_Yahalom_OSays__Server__not__shrK_0,axiom,
    ( ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X4)),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OSays__Server__not__shrK_0) ).

cnf(cls_IntDiv_OnegDivAlg__eqn__number__of_1,axiom,
    ( c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OnegDivAlg__eqn__number__of_1) ).

cnf(cls_Yahalom_OA__trusts__YM3_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OA__trusts__YM3_0) ).

cnf(cls_IntDiv_OposDivAlg__eqn__number__of_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OposDivAlg__eqn__number__of_1) ).

cnf(cls_IntDiv_OnegDivAlg__eqn__1__number__of_1,axiom,
    ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OnegDivAlg__eqn__1__number__of_1) ).

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_IntDiv_OposDivAlg__eqn__1__number__of_1,axiom,
    ( c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OposDivAlg__eqn__1__number__of_1) ).

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_IntDiv_Odiv__neg__neg__number__of_0,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Odiv__neg__neg__number__of_0) ).

cnf(cls_IntDiv_Omod__neg__neg__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Omod__neg__neg__number__of_0) ).

cnf(cls_IntDiv_Odiv__pos__neg__number__of_0,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Odiv__pos__neg__number__of_0) ).

cnf(cls_IntDiv_Omod__pos__neg__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Omod__pos__neg__number__of_0) ).

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_IntDiv_Odiv__pos__neg__1__number__of_0,axiom,
    ( c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Odiv__pos__neg__1__number__of_0) ).

cnf(cls_IntDiv_Omod__pos__neg__1__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Omod__pos__neg__1__number__of_0) ).

cnf(cls_List_Olexord__cons__cons_1,axiom,
    ( c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olexord__cons__cons_1) ).

cnf(cls_List_OCons__in__lex_1,axiom,
    ( c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_OCons__in__lex_1) ).

cnf(cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0,axiom,
    c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X1,X2,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0) ).

cnf(cls_IntDef_Ointrel__iff_1,axiom,
    ( c_in(c_Pair(c_Pair(X1,X4,tc_nat,tc_nat),c_Pair(X3,X2,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_plus(X1,X2,tc_nat) != c_plus(X3,X4,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ointrel__iff_1) ).

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_List_OCons__in__lex_3,axiom,
    ( c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) = c_Nat_Osize(X5,tc_List_Olist(X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_OCons__in__lex_3) ).

cnf(cls_List_Olexord__cons__cons_0,axiom,
    ( c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | X1 = X4
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olexord__cons__cons_0) ).

cnf(cls_List_OCons__in__lex_0,axiom,
    ( c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | X1 = X4
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_OCons__in__lex_0) ).

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_List_Olexord__cons__cons_3,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X5,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olexord__cons__cons_3) ).

cnf(cls_List_OCons__in__lex_5,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X5,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_OCons__in__lex_5) ).

cnf(cls_IntDef_Oequiv__intrel__iff_0,axiom,
    ( c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oequiv__intrel__iff_0) ).

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_List_OCons__in__lex_4,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_Nat_Osize(X5,tc_List_Olist(X3)) != c_Nat_Osize(X6,tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_OCons__in__lex_4) ).

cnf(cls_IntDef_Oequiv__intrel__iff_1,axiom,
    ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oequiv__intrel__iff_1) ).

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_List_Olexord__cons__cons_2,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olexord__cons__cons_2) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__insert_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/MSC001-1.ax',cls_Wellfounded__Recursion_Oacyclic__insert_0) ).

cnf(cls_Wellfounded__Recursion_Owf__insert_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/MSC001-1.ax',cls_Wellfounded__Recursion_Owf__insert_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_Relation_OImage__singleton__iff_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/MSC001-1.ax',cls_Relation_OImage__singleton__iff_0) ).

cnf(cls_List_OCons__in__lex_2,axiom,
    ( X1 = X4
    | c_Nat_Osize(X2,tc_List_Olist(X3)) = c_Nat_Osize(X5,tc_List_Olist(X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_OCons__in__lex_2) ).

cnf(cls_GCD_Ogcd__greatest__iff_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/MSC001-1.ax',cls_GCD_Ogcd__greatest__iff_0) ).

cnf(cls_GCD_Ogcd__greatest__iff_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/MSC001-1.ax',cls_GCD_Ogcd__greatest__iff_1) ).

cnf(cls_Relation_OImage__singleton__iff_1,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/MSC001-1.ax',cls_Relation_OImage__singleton__iff_1) ).

cnf(cls_List_Ozip__append_0,axiom,
    ( c_List_Ozip(c_append(X5,X1,X2),c_append(X6,X3,X4),X2,X4) = c_append(c_List_Ozip(X5,X6,X2,X4),c_List_Ozip(X1,X3,X2,X4),tc_prod(X2,X4))
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
    | c_Nat_Osize(X5,tc_List_Olist(X2)) != c_Nat_Osize(X6,tc_List_Olist(X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ozip__append_0) ).

cnf(cls_Relation_Oconverse__iff_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/MSC001-1.ax',cls_Relation_Oconverse__iff_0) ).

cnf(cls_Datatype__Universe_ODomain__dsum_0,axiom,
    c_Relation_ODomain(c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Datatype__Universe_Ousum(c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_ODomain__dsum_0) ).

cnf(cls_Datatype__Universe_ODomain__dprod_0,axiom,
    c_Relation_ODomain(c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Datatype__Universe_Ouprod(c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_ODomain__dprod_0) ).

cnf(cls_Relation_Oconverse__iff_1,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/MSC001-1.ax',cls_Relation_Oconverse__iff_1) ).

cnf(cls_IntDiv_OnegDivAlg__eqn__number__of_0,axiom,
    ( c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OnegDivAlg__eqn__number__of_0) ).

cnf(cls_IntDiv_Odiv__neg__pos__number__of_0,axiom,
    ( c_div(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Odiv__neg__pos__number__of_0) ).

cnf(cls_IntDiv_Omod__neg__pos__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Omod__neg__pos__number__of_0) ).

cnf(cls_IntDiv_Odiv__pos__pos__number__of_0,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Odiv__pos__pos__number__of_0) ).

cnf(cls_IntDiv_Omod__pos__pos__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Omod__pos__pos__number__of_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_List_Ozip__Cons__Cons_0,axiom,
    c_List_Ozip(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X6),X3,X6) = c_List_Olist_OCons(c_Pair(X1,X4,X3,X6),c_List_Ozip(X2,X5,X3,X6),tc_prod(X3,X6)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ozip__Cons__Cons_0) ).

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_IntDiv_OnegDivAlg__eqn__1__number__of_0,axiom,
    ( c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OnegDivAlg__eqn__1__number__of_0) ).

cnf(cls_Map_Omap__of__zip__is__None_0,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_Map_Omap__of(c_List_Ozip(X2,X4,X3,X5),X1,X3,X5) != c_Datatype_Ooption_ONone
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Map_Omap__of__zip__is__None_0) ).

cnf(cls_List_Onth__zip_0,axiom,
    ( c_List_Onth(c_List_Ozip(X4,X2,X5,X3),X1,tc_prod(X5,X3)) = c_Pair(c_List_Onth(X4,X1,X5),c_List_Onth(X2,X1,X3),X5,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
    | ~ c_less(X1,c_Nat_Osize(X4,tc_List_Olist(X5)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__zip_0) ).

cnf(cls_IntDiv_Odiv__pos__pos__1__number__of_0,axiom,
    ( c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Odiv__pos__pos__1__number__of_0) ).

cnf(cls_IntDiv_Omod__pos__pos__1__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Omod__pos__pos__1__number__of_0) ).

cnf(cls_Relation_OId__O__R_0,axiom,
    c_Relation_Orel__comp(c_Relation_OId,X1,X2,X2,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_OId__O__R_0) ).

cnf(cls_Relation_OR__O__Id_0,axiom,
    c_Relation_Orel__comp(X1,c_Relation_OId,X2,X3,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_OR__O__Id_0) ).

cnf(cls_GCD_Ogcd__greatest__iff_2,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/MSC001-1.ax',cls_GCD_Ogcd__greatest__iff_2) ).

cnf(cls_GCD_Ogcd__add1_0,axiom,
    c_GCD_Ogcd(c_Pair(c_plus(X1,X2,tc_nat),X2,tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__add1_0) ).

cnf(cls_GCD_Ogcd__add2_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_plus(X1,X2,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__add2_0) ).

cnf(cls_GCD_Ogcd__add2_H_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_plus(X2,X1,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__add2_H_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_List_Ozip__replicate_0,axiom,
    c_List_Ozip(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X5,X6),X3,X6) = c_List_Oreplicate(c_Orderings_Omin(X1,X4,tc_nat),c_Pair(X2,X5,X3,X6),tc_prod(X3,X6)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ozip__replicate_0) ).

cnf(cls_List_Olist__update__overwrite_0,axiom,
    ( c_List_Olist__update(c_List_Olist__update(X2,X1,X4,X3),X1,X5,X3) = c_List_Olist__update(X2,X1,X5,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist__update__overwrite_0) ).

cnf(cls_List_Olexord__Nil__left_0,axiom,
    ( X1 = c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X1,X2),c_Main_Olexord__Nil__left__2(X1,X2),X2)
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olexord__Nil__left_0) ).

cnf(cls_IntDiv_OposDivAlg__eqn__number__of_0,axiom,
    ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OposDivAlg__eqn__number__of_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_NatSimprocs_Odivide__less__eq__number__of_8,axiom,
    ( c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_8) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_8,axiom,
    ( c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_8) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_8,axiom,
    ( c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_8) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_8,axiom,
    ( c_lessequals(X4,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_8) ).

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_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/MSC001-1.ax',cls_List_ONil__notin__lex_0) ).

cnf(cls_List_Olexord__Nil__right_0,axiom,
    ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olexord__Nil__right_0) ).

cnf(cls_List_ONil2__notin__lex_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/MSC001-1.ax',cls_List_ONil2__notin__lex_0) ).

cnf(cls_IntDiv_OposDivAlg__eqn__1__number__of_0,axiom,
    ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OposDivAlg__eqn__1__number__of_0) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_9,axiom,
    ( c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_0,X3,X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_9) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_9,axiom,
    ( c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_lessequals(c_0,X3,X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_9) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_9,axiom,
    ( c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_9) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_9,axiom,
    ( c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_9) ).

cnf(cls_NatBin_Opower__minus__even_0,axiom,
    ( c_Nat_Opower(c_uminus(X2,X1),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X1) = c_Nat_Opower(X2,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Opower__minus__even_0) ).

cnf(cls_Wellfounded__Relations_Oless__than__iff_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/MSC001-1.ax',cls_Wellfounded__Relations_Oless__than__iff_0) ).

cnf(cls_Wellfounded__Recursion_Owf__not__refl_0,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(X1,X2)
    | ~ c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Wellfounded__Recursion_Owf__not__refl_0) ).

cnf(cls_NatSimprocs_Omod2__gr__0_0,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
    | ~ c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omod2__gr__0_0) ).

cnf(cls_Relation_Opair__in__Id__conv_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/MSC001-1.ax',cls_Relation_Opair__in__Id__conv_0) ).

cnf(cls_IntDiv_OnegDivAlg__minus1_0,axiom,
    c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OnegDivAlg__minus1_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_Map_Omap__of__zip__is__None_1,axiom,
    ( c_in(X5,c_List_Oset(X1,X2),X2)
    | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X5,X2,X4) = c_Datatype_Ooption_ONone
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Map_Omap__of__zip__is__None_1) ).

cnf(cls_Message_Oanalz__insert__MPair_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__insert__MPair_0) ).

cnf(cls_Message_Oparts__insert__MPair_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__insert__MPair_0) ).

cnf(cls_List_Olexord__Nil__left_1,axiom,
    c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olexord__Nil__left_1) ).

cnf(cls_Finite__Set_Ofinite__Diff__insert_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/MSC001-1.ax',cls_Finite__Set_Ofinite__Diff__insert_0) ).

cnf(cls_List_Odrop__append_0,axiom,
    c_List_Odrop(X1,c_append(X2,X3,X4),X4) = c_append(c_List_Odrop(X1,X2,X4),c_List_Odrop(c_minus(X1,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__append_0) ).

cnf(cls_Product__Type_OPair__eq_0,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Product__Type_OPair__eq_0) ).

cnf(cls_Datatype__Universe_OScons__Scons__eq_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/MSC001-1.ax',cls_Datatype__Universe_OScons__Scons__eq_0) ).

cnf(cls_Product__Type_OPair__eq_1,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Product__Type_OPair__eq_1) ).

cnf(cls_Datatype__Universe_OScons__Scons__eq_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/MSC001-1.ax',cls_Datatype__Universe_OScons__Scons__eq_1) ).

cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_1,axiom,
    ( c_less(X4,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__left__number__of_1) ).

cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_1,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__left__number__of_1) ).

cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_1,axiom,
    ( c_less(X4,X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__right__number__of_1) ).

cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_1,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__right__number__of_1) ).

cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_0,axiom,
    ( c_less(X3,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__left__number__of_0) ).

cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_0,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__left__number__of_0) ).

cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_0,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__right__number__of_0) ).

cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_0,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__right__number__of_0) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_4,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_4) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_1) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_4,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_4) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_1) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_4,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(X4,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_4) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(X4,c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_1) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_4,axiom,
    ( c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_4) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_1,axiom,
    ( c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_1) ).

cnf(cls_NatSimprocs_Omod2__gr__0_1,axiom,
    ( c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omod2__gr__0_1) ).

cnf(cls_List_Olist__update__length_0,axiom,
    c_List_Olist__update(c_append(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize(X1,tc_List_Olist(X4)),X5,X4) = c_append(X1,c_List_Olist_OCons(X5,X3,X4),X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist__update__length_0) ).

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_IntDiv_OnegateSnd__eq_0,axiom,
    c_IntDiv_OnegateSnd(c_Pair(X1,X2,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OnegateSnd__eq_0) ).

cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_7,axiom,
    ( c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_7) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_7,axiom,
    ( c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_lessequals(c_0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_7) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_7,axiom,
    ( c_less(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_7) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_7,axiom,
    ( c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_lessequals(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_7) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_5,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_5) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_5,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_5) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_5,axiom,
    ( c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_5) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_5,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_5) ).

cnf(cls_IntDiv_OposDivAlg__0_0,axiom,
    c_IntDiv_OposDivAlg(c_Pair(c_0,X1,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_0,tc_IntDef_Oint,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_OposDivAlg__0_0) ).

cnf(cls_GCD_Ogcd__mult_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_times(X1,X2,tc_nat),tc_nat,tc_nat)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__mult_0) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_6,axiom,
    ( c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_6) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_0,axiom,
    ( c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_0) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_6,axiom,
    ( c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_6) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_0,axiom,
    ( c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_0) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_6,axiom,
    ( c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_6) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_0,axiom,
    ( c_less(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_0) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_6,axiom,
    ( c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_6) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_0,axiom,
    ( c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_0) ).

cnf(cls_List_Olength__zip_0,axiom,
    c_Nat_Osize(c_List_Ozip(X1,X2,X3,X4),tc_List_Olist(tc_prod(X3,X4))) = c_Orderings_Omin(c_Nat_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__zip_0) ).

cnf(cls_List_Onth__list__update__eq_0,axiom,
    ( c_List_Onth(c_List_Olist__update(X2,X1,X4,X3),X1,X3) = X4
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__list__update__eq_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_1,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/MSC001-1.ax',cls_Finite__Set_Ofinite__Diff__insert_1) ).

cnf(cls_Yahalom_OGets__imp__Says_0,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__wPE(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OGets__imp__Says_0) ).

cnf(cls_Wellfounded__Relations_Oless__than__iff_1,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/MSC001-1.ax',cls_Wellfounded__Relations_Oless__than__iff_1) ).

cnf(cls_Yahalom_OKeyWithNonce__Says_0,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X6)
    | c_Message_Oagent_OServer = X3
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X6,tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OKeyWithNonce__Says_0) ).

cnf(cls_Parity_Oneq__one__mod__two_1,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oneq__one__mod__two_1) ).

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_List_Onth__drop_0,axiom,
    ( c_List_Onth(c_List_Odrop(X1,X3,X4),X2,X4) = c_List_Onth(X3,c_plus(X1,X2,tc_nat),X4)
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__drop_0) ).

cnf(cls_List_Onth__list__update__neq_0,axiom,
    ( X1 = X2
    | c_List_Onth(c_List_Olist__update(X3,X1,X4,X5),X2,X5) = c_List_Onth(X3,X2,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__list__update__neq_0) ).

cnf(cls_Divides_Odiv__mult__self2_0,axiom,
    ( c_div(c_plus(X2,c_times(X1,X3,tc_nat),tc_nat),X1,tc_nat) = c_plus(X3,c_div(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__mult__self2_0) ).

cnf(cls_Divides_Odiv__mult__self1_0,axiom,
    ( c_div(c_plus(X2,c_times(X3,X1,tc_nat),tc_nat),X1,tc_nat) = c_plus(X3,c_div(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__mult__self1_0) ).

cnf(cls_Event_Oused__Says_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(X3,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X4),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oused__Says_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_Message_Oanalz__Crypt__if_0,axiom,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__Crypt__if_0) ).

cnf(cls_Power_Opower__strict__increasing__iff_0,axiom,
    ( c_less(X3,X4,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,X2,X1)
    | ~ c_less(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__strict__increasing__iff_0) ).

cnf(cls_Power_Opower__increasing__iff_0,axiom,
    ( c_lessequals(X3,X4,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,X2,X1)
    | ~ c_lessequals(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__increasing__iff_0) ).

cnf(cls_NatSimprocs_Oleft__diff__distrib__number__of_0,axiom,
    ( c_times(c_minus(X2,X3,X1),c_Numeral_Onumber__of(X4,X1),X1) = c_minus(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oleft__diff__distrib__number__of_0) ).

cnf(cls_NatSimprocs_Oleft__distrib__number__of_0,axiom,
    ( c_times(c_plus(X2,X3,X1),c_Numeral_Onumber__of(X4,X1),X1) = c_plus(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oleft__distrib__number__of_0) ).

cnf(cls_NatSimprocs_Oright__diff__distrib__number__of_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X2,X1),c_minus(X3,X4,X1),X1) = c_minus(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oright__diff__distrib__number__of_0) ).

cnf(cls_NatSimprocs_Oright__distrib__number__of_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X2,X1),c_plus(X3,X4,X1),X1) = c_plus(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oright__distrib__number__of_0) ).

cnf(cls_Relation_Opair__in__Id__conv_1,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_Opair__in__Id__conv_1) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_2,axiom,
    ( c_less(c_0,X4,X1)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_2) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_lessequals(c_0,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_2) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_2,axiom,
    ( c_less(X2,c_0,X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_2) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_lessequals(X2,c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_2) ).

cnf(cls_NatSimprocs_Ohalf__gt__zero_0,axiom,
    ( c_less(c_0,c_divide(X2,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ohalf__gt__zero_0) ).

cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_5,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__left__number__of_5) ).

cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_5,axiom,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__left__number__of_5) ).

cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_5,axiom,
    ( c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__right__number__of_5) ).

cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_5,axiom,
    ( c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__right__number__of_5) ).

cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_4,axiom,
    ( c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__left__number__of_4) ).

cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_4,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__left__number__of_4) ).

cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_4,axiom,
    ( c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__right__number__of_4) ).

cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_4,axiom,
    ( c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__right__number__of_4) ).

cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_3,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__left__number__of_3) ).

cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_3,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__left__number__of_3) ).

cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_3,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__right__number__of_3) ).

cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_3,axiom,
    ( c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__right__number__of_3) ).

cnf(cls_SetInterval_Oivl__subset_1,axiom,
    ( c_lessequals(X3,X5,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X3,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Oivl__subset_1) ).

cnf(cls_SetInterval_Oivl__subset_0,axiom,
    ( c_lessequals(X4,X2,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X3,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Oivl__subset_0) ).

cnf(cls_Product__Type_Osnd__conv_0,axiom,
    c_snd(c_Pair(X1,X2,X3,X4),X3,X4) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Product__Type_Osnd__conv_0) ).

cnf(cls_Product__Type_Ofst__conv_0,axiom,
    c_fst(c_Pair(X1,X2,X3,X4),X3,X4) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Product__Type_Ofst__conv_0) ).

cnf(cls_NatSimprocs_Omult__le__cancel__left__number__of_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__left__number__of_2) ).

cnf(cls_NatSimprocs_Omult__less__cancel__left__number__of_2,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__left__number__of_2) ).

cnf(cls_NatSimprocs_Omult__le__cancel__right__number__of_2,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__le__cancel__right__number__of_2) ).

cnf(cls_NatSimprocs_Omult__less__cancel__right__number__of_2,axiom,
    ( c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Omult__less__cancel__right__number__of_2) ).

cnf(cls_Nat_Omult__le__cancel1_0,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__le__cancel1_0) ).

cnf(cls_Nat_Omult__le__cancel2_0,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_lessequals(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__le__cancel2_0) ).

cnf(cls_List_Onotin__set__sublistI_0,axiom,
    ( c_in(X1,c_List_Oset(X2,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X3,X4),X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onotin__set__sublistI_0) ).

cnf(cls_List_Onotin__set__remove1_0,axiom,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onotin__set__remove1_0) ).

cnf(cls_Message_Oin__parts__UnE_0,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oin__parts__UnE_0) ).

cnf(cls_conjecture_8,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(cls_List_Olength__list__update_0,axiom,
    c_Nat_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize(X1,tc_List_Olist(X4)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__list__update_0) ).

cnf(cls_Datatype_Oprod_Osize_0,axiom,
    c_Nat_Osize(c_Pair(X1,X2,X3,X4),tc_prod(X3,X4)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Oprod_Osize_0) ).

cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__0__iff__number__of_0) ).

cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_0,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__0__iff__number__of_0) ).

cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_0,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__less__divide__iff__number__of_0) ).

cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_0,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__le__divide__iff__number__of_0) ).

cnf(cls_List_Oappend1__eq__conv_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/MSC001-1.ax',cls_List_Oappend1__eq__conv_0) ).

cnf(cls_List_Oappend1__eq__conv_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/MSC001-1.ax',cls_List_Oappend1__eq__conv_1) ).

cnf(cls_List_Olist__update__id_0,axiom,
    ( c_List_Olist__update(X2,X1,c_List_Onth(X2,X1,X3),X3) = X2
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist__update__id_0) ).

cnf(cls_IntDiv_Ozdiv__number__of__BIT_2,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | X2 = c_Numeral_Obit_OB0
    | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X3,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X3,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__number__of__BIT_2) ).

cnf(cls_Yahalom_Onew__keys__not__used_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_Onew__keys__not__used_0) ).

cnf(cls_GCD_Ogcd__self_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,X1,tc_nat,tc_nat)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__self_0) ).

cnf(cls_GCD_Ogcd__0__left_0,axiom,
    c_GCD_Ogcd(c_Pair(c_0,X1,tc_nat,tc_nat)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__0__left_0) ).

cnf(cls_GCD_Ogcd__0_0,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_0,tc_nat,tc_nat)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_GCD_Ogcd__0_0) ).

cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_2,axiom,
    ( c_less(c_0,X3,X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__less__divide__iff__number__of_2) ).

cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_2,axiom,
    ( c_lessequals(c_0,X3,X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__le__divide__iff__number__of_2) ).

cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_1,axiom,
    ( c_less(c_0,X3,X1)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__0__iff__number__of_1) ).

cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_1,axiom,
    ( c_lessequals(c_0,X3,X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__0__iff__number__of_1) ).

cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_2,axiom,
    ( c_less(X3,c_0,X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__0__iff__number__of_2) ).

cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_2,axiom,
    ( c_lessequals(X3,c_0,X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__0__iff__number__of_2) ).

cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_1,axiom,
    ( c_less(X3,c_0,X1)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__less__divide__iff__number__of_1) ).

cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_1,axiom,
    ( c_lessequals(X3,c_0,X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__le__divide__iff__number__of_1) ).

cnf(cls_OrderedGroup_Oadd__less__cancel__right_0,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_less(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__less__cancel__right_0) ).

cnf(cls_OrderedGroup_Oadd__less__cancel__left_0,axiom,
    ( c_less(X3,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_less(c_plus(X2,X3,X1),c_plus(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__less__cancel__left_0) ).

cnf(cls_OrderedGroup_Oadd__le__cancel__right_0,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__right_0) ).

cnf(cls_OrderedGroup_Oadd__le__cancel__left_0,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__left_0) ).

cnf(cls_NatSimprocs_Odivide__less__eq__number__of_3,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_less(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__eq__number__of_3) ).

cnf(cls_NatSimprocs_Odivide__le__eq__number__of_3,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__eq__number__of_3) ).

cnf(cls_NatSimprocs_Ole__divide__eq__number__of_3,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_lessequals(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__divide__eq__number__of_3) ).

cnf(cls_NatSimprocs_Oless__divide__eq__number__of_3,axiom,
    ( c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__divide__eq__number__of_3) ).

cnf(cls_Datatype__Universe_OScons__not__Atom_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OAtom(X5,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OScons__not__Atom_0) ).

cnf(cls_Datatype__Universe_OScons__not__Numb_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_ONumb(X5,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OScons__not__Numb_0) ).

cnf(cls_Datatype__Universe_OScons__not__Leaf_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OLeaf(X5,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OScons__not__Leaf_0) ).

cnf(cls_Datatype__Universe_OAtom__not__Scons_0,axiom,
    c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OAtom__not__Scons_0) ).

cnf(cls_Datatype__Universe_ONumb__not__Scons_0,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_ONumb__not__Scons_0) ).

cnf(cls_Datatype__Universe_OLeaf__not__Scons_0,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OLeaf__not__Scons_0) ).

cnf(cls_List_Oappend__in__lists__conv_2,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/MSC001-1.ax',cls_List_Oappend__in__lists__conv_2) ).

cnf(cls_Nat_Omult__less__cancel2_1,axiom,
    ( c_less(X1,X3,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__less__cancel2_1) ).

cnf(cls_Nat_Onat__add__left__cancel__less_0,axiom,
    ( c_less(X2,X3,tc_nat)
    | ~ c_less(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__add__left__cancel__less_0) ).

cnf(cls_Nat_Omult__less__cancel1_1,axiom,
    ( c_less(X2,X3,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__less__cancel1_1) ).

cnf(cls_Nat_Onat__add__left__cancel__le_0,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__add__left__cancel__le_0) ).

cnf(cls_Product__Type_Opair__collapse_0,axiom,
    c_Pair(c_fst(X1,X2,X3),c_snd(X1,X2,X3),X2,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Product__Type_Opair__collapse_0) ).

cnf(cls_Product__Type_Osurj__pair_0,axiom,
    X1 = c_Pair(c_Main_Osurj__pair__1(X1,X2,X3),c_Main_Osurj__pair__2(X1,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Product__Type_Osurj__pair_0) ).

cnf(cls_Nat_Omult__less__cancel1_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__less__cancel1_0) ).

cnf(cls_Nat_Omult__less__cancel2_0,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__less__cancel2_0) ).

cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_3,axiom,
    ( c_less(X3,c_0,X1)
    | c_less(c_0,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__0__iff__number__of_3) ).

cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_3,axiom,
    ( c_lessequals(X3,c_0,X1)
    | c_lessequals(c_0,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__0__iff__number__of_3) ).

cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_3,axiom,
    ( c_less(X3,c_0,X1)
    | c_less(c_0,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__less__divide__iff__number__of_3) ).

cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_3,axiom,
    ( c_lessequals(X3,c_0,X1)
    | c_lessequals(c_0,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__le__divide__iff__number__of_3) ).

cnf(cls_Yahalom_OKeyWithNonce__Says_3,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X5,X6),X3,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OKeyWithNonce__Says_3) ).

cnf(cls_List_Olistrel__Nil_0,axiom,
    c_Relation_OImage(c_List_Olistrel(X1,X2),c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X2)),tc_List_Olist(X2),tc_List_Olist(X2)) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olistrel__Nil_0) ).

cnf(cls_SetInterval_Oivl__subset_3,axiom,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X5,X2,X1),c_SetInterval_OatLeastLessThan(X4,X3,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X5,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Oivl__subset_3) ).

cnf(cls_Finite__Set_Ofinite__converse_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/MSC001-1.ax',cls_Finite__Set_Ofinite__converse_0) ).

cnf(cls_Message_Oparts__insert__Crypt_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__insert__Crypt_0) ).

cnf(cls_Power_Opower__strict__increasing__iff_1,axiom,
    ( c_less(c_Nat_Opower(X4,X2,X1),c_Nat_Opower(X4,X3,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(X2,X3,tc_nat)
    | ~ c_less(c_1,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__strict__increasing__iff_1) ).

cnf(cls_Power_Opower__increasing__iff_1,axiom,
    ( c_lessequals(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,X2,X1)
    | ~ c_lessequals(X3,X4,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__increasing__iff_1) ).

cnf(cls_List_Olist__inter_Osimps__2_0,axiom,
    ( c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X4,X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist__inter_Osimps__2_0) ).

cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_5,axiom,
    ( c_less(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__0__iff__number__of_5) ).

cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_5,axiom,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__0__iff__number__of_5) ).

cnf(cls_NatSimprocs_Odivide__less__0__iff__number__of_4,axiom,
    ( c_less(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__less__0__iff__number__of_4) ).

cnf(cls_NatSimprocs_Odivide__le__0__iff__number__of_4,axiom,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__le__0__iff__number__of_4) ).

cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_4,axiom,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__less__divide__iff__number__of_4) ).

cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_4,axiom,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__le__divide__iff__number__of_4) ).

cnf(cls_NatSimprocs_Ozero__less__divide__iff__number__of_5,axiom,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__less__divide__iff__number__of_5) ).

cnf(cls_NatSimprocs_Ozero__le__divide__iff__number__of_5,axiom,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ozero__le__divide__iff__number__of_5) ).

cnf(cls_Parity_Ozero__less__power__eq__number__of_0,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_less(c_0,X2,X1)
    | c_Numeral_Onumber__of(X3,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__eq__number__of_0) ).

cnf(cls_Finite__Set_OMax__less__iff_2,axiom,
    ( c_less(c_Finite__Set_OMax(X2,X1),X3,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_less(c_Main_OMax__less__iff__1(X2,X3,X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__less__iff_2) ).

cnf(cls_Finite__Set_OMax__le__iff_2,axiom,
    ( c_lessequals(c_Finite__Set_OMax(X2,X1),X3,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_lessequals(c_Main_OMax__le__iff__1(X2,X3,X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__le__iff_2) ).

cnf(cls_Finite__Set_OMin__gr__iff_2,axiom,
    ( c_less(X3,c_Finite__Set_OMin(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_less(X3,c_Main_OMin__gr__iff__1(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__gr__iff_2) ).

cnf(cls_Finite__Set_OMin__ge__iff_2,axiom,
    ( c_lessequals(X3,c_Finite__Set_OMin(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_lessequals(X3,c_Main_OMin__ge__iff__1(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__ge__iff_2) ).

cnf(cls_Set_Oinsert__Diff__single_0,axiom,
    c_insert(X1,c_minus(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)),X3) = c_insert(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__Diff__single_0) ).

cnf(cls_List_Orev__eq__Cons__iff_1,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/MSC001-1.ax',cls_List_Orev__eq__Cons__iff_1) ).

cnf(cls_SetInterval_Ocard__atLeastAtMost__int_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_plus(c_minus(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atLeastAtMost__int_0) ).

cnf(cls_Parity_Ozero__le__power__eq__number__of_0,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_0,X2,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__le__power__eq__number__of_0) ).

cnf(cls_Parity_Opower__le__zero__eq__number__of_2,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(X2,c_0,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__le__zero__eq__number__of_2) ).

cnf(cls_Event_Oused__Notes_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oused__Notes_0) ).

cnf(cls_Nat_Omult__less__cancel2_2,axiom,
    ( c_less(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__less__cancel2_2) ).

cnf(cls_Nat_Omult__less__cancel1_2,axiom,
    ( c_less(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__less__cancel1_2) ).

cnf(cls_SetInterval_Ocard__greaterThanLessThan__int_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X2,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__greaterThanLessThan__int_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_SetInterval_Oivl__diff_0,axiom,
    ( c_minus(c_SetInterval_OatLeastLessThan(X2,X4,X1),c_SetInterval_OatLeastLessThan(X2,X3,X1),tc_set(X1)) = c_SetInterval_OatLeastLessThan(X3,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Oivl__diff_0) ).

cnf(cls_Divides_Omod__mult__self2_0,axiom,
    c_Divides_Oop_Amod(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Oop_Amod(X1,X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__mult__self2_0) ).

cnf(cls_Divides_Omod__mult__self1_0,axiom,
    c_Divides_Oop_Amod(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X3,tc_nat) = c_Divides_Oop_Amod(X1,X3,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__mult__self1_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_List_Onth__append__length_0,axiom,
    c_List_Onth(c_append(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize(X1,tc_List_Olist(X4)),X4) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__append__length_0) ).

cnf(cls_IntDiv_Ozdiv__number__of__BIT_1,axiom,
    ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__number__of__BIT_1) ).

cnf(cls_Public_OCrypt__Spy__analz__bad_0,axiom,
    ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Public_OCrypt__Spy__analz__bad_0) ).

cnf(cls_Event_Oknows__Spy__Says_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_insert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oknows__Spy__Says_0) ).

cnf(cls_Ring__and__Field_Odivide__less__eq__1__pos_0,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_divide(X3,X2,X1),c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__less__eq__1__pos_0) ).

cnf(cls_Ring__and__Field_Odivide__le__eq__1__pos_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_lessequals(c_divide(X3,X2,X1),c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__le__eq__1__pos_0) ).

cnf(cls_Ring__and__Field_Oless__divide__eq__1__pos_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_1,c_divide(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oless__divide__eq__1__pos_0) ).

cnf(cls_Ring__and__Field_Ole__divide__eq__1__pos_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_lessequals(c_1,c_divide(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ole__divide__eq__1__pos_0) ).

cnf(cls_Ring__and__Field_Odivide__less__eq__1__neg_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_divide(X3,X2,X1),c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__less__eq__1__neg_0) ).

cnf(cls_Ring__and__Field_Odivide__le__eq__1__neg_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_lessequals(c_divide(X3,X2,X1),c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__le__eq__1__neg_0) ).

cnf(cls_Ring__and__Field_Oless__divide__eq__1__neg_0,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_1,c_divide(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oless__divide__eq__1__neg_0) ).

cnf(cls_Ring__and__Field_Ole__divide__eq__1__neg_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_lessequals(c_1,c_divide(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ole__divide__eq__1__neg_0) ).

cnf(cls_Parity_Oneq__one__mod__two_0,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oneq__one__mod__two_0) ).

cnf(cls_Parity_Ozero__less__power__eq__number__of_1,axiom,
    ( c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__eq__number__of_1) ).

cnf(cls_List_Onth__Cons__number__of_1,axiom,
    ( c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X4,tc_nat),X3) = c_List_Onth(X2,c_minus(c_Numeral_Onumber__of(X4,tc_nat),c_1,tc_nat),X3)
    | c_Numeral_Onumber__of(X4,tc_nat) = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__Cons__number__of_1) ).

cnf(cls_List_Odrop__Cons__number__of_1,axiom,
    ( c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__Cons__number__of_1) ).

cnf(cls_Parity_Ozero__less__power__eq__number__of_2,axiom,
    ( c_less(c_0,c_0,X1)
    | c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__eq__number__of_2) ).

cnf(cls_Ring__and__Field_Oinverse__less__iff__less_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,X3,X1)
    | ~ c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__less__iff__less_0) ).

cnf(cls_Ring__and__Field_Oinverse__le__iff__le_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,X3,X1)
    | ~ c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__le__iff__le_0) ).

cnf(cls_Ring__and__Field_Oinverse__less__iff__less__neg_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_0,X1)
    | ~ c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__less__iff__less__neg_0) ).

cnf(cls_Ring__and__Field_Oinverse__le__iff__le__neg_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_0,X1)
    | ~ c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__le__iff__le__neg_0) ).

cnf(cls_NatArith_Oadd__diff__assoc2_0,axiom,
    ( c_plus(c_minus(X2,X1,tc_nat),X3,tc_nat) = c_minus(c_plus(X2,X3,tc_nat),X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oadd__diff__assoc2_0) ).

cnf(cls_NatArith_Odiff__diff__right_0,axiom,
    ( c_minus(X3,c_minus(X2,X1,tc_nat),tc_nat) = c_minus(c_plus(X3,X1,tc_nat),X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Odiff__diff__right_0) ).

cnf(cls_NatArith_Oadd__diff__assoc_0,axiom,
    ( c_plus(X3,c_minus(X2,X1,tc_nat),tc_nat) = c_minus(c_plus(X3,X2,tc_nat),X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oadd__diff__assoc_0) ).

cnf(cls_Parity_Opower__le__zero__eq__number__of_1,axiom,
    ( X3 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__le__zero__eq__number__of_1) ).

cnf(cls_List_Onth__append__length__plus_0,axiom,
    c_List_Onth(c_append(X1,X2,X3),c_plus(c_Nat_Osize(X1,tc_List_Olist(X3)),X4,tc_nat),X3) = c_List_Onth(X2,X4,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__append__length__plus_0) ).

cnf(cls_Divides_Odiv__mult__mult1_0,axiom,
    ( c_div(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) = c_div(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__mult__mult1_0) ).

cnf(cls_Divides_Odiv__mult__mult2_0,axiom,
    ( c_div(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) = c_div(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__mult__mult2_0) ).

cnf(cls_Parity_Opower__less__zero__eq__number__of_0,axiom,
    ( ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__less__zero__eq__number__of_0) ).

cnf(cls_Finite__Set_Ofinite__converse_1,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/MSC001-1.ax',cls_Finite__Set_Ofinite__converse_1) ).

cnf(cls_Parity_Opower__le__zero__eq__number__of_3,axiom,
    ( c_lessequals(X2,c_0,X1)
    | X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__le__zero__eq__number__of_3) ).

cnf(cls_Message_OHash__synth__analz_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash__synth__analz_0) ).

cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Event_OSays__imp__analz__Spy__dest_0) ).

cnf(cls_Message_Oanalz__synth__Un_0,axiom,
    c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__synth__Un_0) ).

cnf(cls_List_Olist__update__beyond_0,axiom,
    ( c_List_Olist__update(X1,X3,X4,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist__update__beyond_0) ).

cnf(cls_Parity_Opower__less__zero__eq__number__of_1,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__less__zero__eq__number__of_1) ).

cnf(cls_List_Oappend__in__lists__conv_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/MSC001-1.ax',cls_List_Oappend__in__lists__conv_0) ).

cnf(cls_List_Oappend__in__lists__conv_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/MSC001-1.ax',cls_List_Oappend__in__lists__conv_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_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_1,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_1) ).

cnf(cls_Message_OHash__synth__analz_1,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash__synth__analz_1) ).

cnf(cls_Yahalom_OKeyWithNonce__Notes_0,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X5)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X5,tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OKeyWithNonce__Notes_0) ).

cnf(cls_Yahalom_OKeyWithNonce__Gets_0,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X5)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X5,tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OKeyWithNonce__Gets_0) ).

cnf(cls_Parity_Ozero__less__power__nat__eq__number__of_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__nat__eq__number__of_0) ).

cnf(cls_List_Onth__upt_0,axiom,
    ( c_List_Onth(c_List_Oupt(X1,X3),X2,tc_nat) = c_plus(X1,X2,tc_nat)
    | ~ c_less(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__upt_0) ).

cnf(cls_Numeral_Oadd__number__of__left_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_plus(c_Numeral_Onumber__of(X3,X1),X4,X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X3),X1),X4,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Oadd__number__of__left_0) ).

cnf(cls_Numeral_Omult__number__of__left_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X2,X1),c_times(c_Numeral_Onumber__of(X3,X1),X4,X1),X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X2,X3),X1),X4,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Omult__number__of__left_0) ).

cnf(cls_Finite__Set_OMax__less__iff_0,axiom,
    ( c_less(X2,X4,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_less(c_Finite__Set_OMax(X3,X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__less__iff_0) ).

cnf(cls_Finite__Set_OMax__le__iff_0,axiom,
    ( c_lessequals(X2,X4,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_lessequals(c_Finite__Set_OMax(X3,X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__le__iff_0) ).

cnf(cls_Finite__Set_OMin__gr__iff_0,axiom,
    ( c_less(X4,X2,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_less(X4,c_Finite__Set_OMin(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__gr__iff_0) ).

cnf(cls_Finite__Set_OMin__ge__iff_0,axiom,
    ( c_lessequals(X4,X2,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_lessequals(X4,c_Finite__Set_OMin(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__ge__iff_0) ).

cnf(cls_NatBin_Omod__nat__number__of_2,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Omod__nat__number__of_2) ).

cnf(cls_Ring__and__Field_Oinverse__less__iff__less_1,axiom,
    ( c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__less__iff__less_1) ).

cnf(cls_Ring__and__Field_Oinverse__le__iff__le_1,axiom,
    ( c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,X3,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__le__iff__le_1) ).

cnf(cls_Ring__and__Field_Oinverse__less__iff__less__neg_1,axiom,
    ( c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__less__iff__less__neg_1) ).

cnf(cls_Ring__and__Field_Oinverse__le__iff__le__neg_1,axiom,
    ( c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_0,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__le__iff__le__neg_1) ).

cnf(cls_SetInterval_Oivl__subset_2,axiom,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X3,X2,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Oivl__subset_2) ).

cnf(cls_Set_Osingleton__insert__inj__eq_2,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/MSC001-1.ax',cls_Set_Osingleton__insert__inj__eq_2) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H_2,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/MSC001-1.ax',cls_Set_Osingleton__insert__inj__eq_H_2) ).

cnf(cls_Set_OUn__iff_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/MSC001-1.ax',cls_Set_OUn__iff_0) ).

cnf(cls_Event_OSays__imp__knows__Spy_0,axiom,
    ( c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Event_OSays__imp__knows__Spy_0) ).

cnf(cls_OrderedGroup_Oadd__less__cancel__right_1,axiom,
    ( c_less(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__less__cancel__right_1) ).

cnf(cls_OrderedGroup_Oadd__less__cancel__left_1,axiom,
    ( c_less(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__less__cancel__left_1) ).

cnf(cls_OrderedGroup_Oadd__le__cancel__right_1,axiom,
    ( c_lessequals(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__right_1) ).

cnf(cls_OrderedGroup_Oadd__le__cancel__left_1,axiom,
    ( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__left_1) ).

cnf(cls_Set_ODiff__iff_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__iff_1) ).

cnf(cls_Set_OUn__subset__iff_2,axiom,
    ( c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X4,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__subset__iff_2) ).

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_Parity_Opower__le__zero__eq__number__of_0,axiom,
    ( ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1)
    | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__le__zero__eq__number__of_0) ).

cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

cnf(cls_Finite__Set_Ofinite__Un_2,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/MSC001-1.ax',cls_Finite__Set_Ofinite__Un_2) ).

cnf(cls_Parity_Opower__le__zero__eq__number__of_4,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1)
    | c_Numeral_Onumber__of(X3,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__le__zero__eq__number__of_4) ).

cnf(cls_Set_Oinsert__subset_2,axiom,
    ( c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__subset_2) ).

cnf(cls_NatBin_Opower2__eq__square__number__of_0,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_times(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Opower2__eq__square__number__of_0) ).

cnf(cls_Nat_Oadd__gr__0_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/MSC001-1.ax',cls_Nat_Oadd__gr__0_0) ).

cnf(cls_Ring__and__Field_Odivide__less__eq__1__pos_1,axiom,
    ( c_less(c_divide(X2,X3,X1),c_1,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(c_0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__less__eq__1__pos_1) ).

cnf(cls_Ring__and__Field_Odivide__le__eq__1__pos_1,axiom,
    ( c_lessequals(c_divide(X3,X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__le__eq__1__pos_1) ).

cnf(cls_Ring__and__Field_Odivide__less__eq__1__neg_1,axiom,
    ( c_less(c_divide(X3,X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__less__eq__1__neg_1) ).

cnf(cls_Ring__and__Field_Odivide__le__eq__1__neg_1,axiom,
    ( c_lessequals(c_divide(X3,X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__le__eq__1__neg_1) ).

cnf(cls_Ring__and__Field_Oless__divide__eq__1__pos_1,axiom,
    ( c_less(c_1,c_divide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oless__divide__eq__1__pos_1) ).

cnf(cls_Ring__and__Field_Ole__divide__eq__1__pos_1,axiom,
    ( c_lessequals(c_1,c_divide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ole__divide__eq__1__pos_1) ).

cnf(cls_Ring__and__Field_Oless__divide__eq__1__neg_1,axiom,
    ( c_less(c_1,c_divide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X3,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oless__divide__eq__1__neg_1) ).

cnf(cls_Ring__and__Field_Ole__divide__eq__1__neg_1,axiom,
    ( c_lessequals(c_1,c_divide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ole__divide__eq__1__neg_1) ).

cnf(cls_Finite__Set_OMax__less__iff_1,axiom,
    ( c_in(c_Main_OMax__less__iff__1(X2,X3,X1),X2,X1)
    | c_less(c_Finite__Set_OMax(X2,X1),X3,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__less__iff_1) ).

cnf(cls_Finite__Set_OMax__le__iff_1,axiom,
    ( c_in(c_Main_OMax__le__iff__1(X2,X3,X1),X2,X1)
    | c_lessequals(c_Finite__Set_OMax(X2,X1),X3,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__le__iff_1) ).

cnf(cls_Finite__Set_OMin__gr__iff_1,axiom,
    ( c_in(c_Main_OMin__gr__iff__1(X2,X3,X1),X2,X1)
    | c_less(X3,c_Finite__Set_OMin(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__gr__iff_1) ).

cnf(cls_Finite__Set_OMin__ge__iff_1,axiom,
    ( c_in(c_Main_OMin__ge__iff__1(X2,X3,X1),X2,X1)
    | c_lessequals(X3,c_Finite__Set_OMin(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__ge__iff_1) ).

cnf(cls_Nat_Onat__add__left__cancel__less_1,axiom,
    ( c_less(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__add__left__cancel__less_1) ).

cnf(cls_Nat_Onat__add__left__cancel__le_1,axiom,
    ( c_lessequals(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__add__left__cancel__le_1) ).

cnf(cls_Nat_Omult__le__cancel2_2,axiom,
    ( c_lessequals(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__le__cancel2_2) ).

cnf(cls_Nat_Omult__le__cancel1_2,axiom,
    ( c_lessequals(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__le__cancel1_2) ).

cnf(cls_Orderings_Omax__less__iff__conj_2,axiom,
    ( c_less(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X4,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omax__less__iff__conj_2) ).

cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
    ( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

cnf(cls_Orderings_Omin__less__iff__conj_2,axiom,
    ( c_less(X2,c_Orderings_Omin(X4,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__less__iff__conj_2) ).

cnf(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_2,axiom,
    ( c_lessequals(X2,c_Orderings_Omin(X4,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_2) ).

cnf(cls_SetInterval_OgreaterThanLessThan__iff_2,axiom,
    ( c_in(X2,c_SetInterval_OgreaterThanLessThan(X4,X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X4,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OgreaterThanLessThan__iff_2) ).

cnf(cls_SetInterval_OatLeastLessThan__iff_2,axiom,
    ( c_in(X2,c_SetInterval_OatLeastLessThan(X4,X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastLessThan__iff_2) ).

cnf(cls_SetInterval_OatLeastAtMost__iff_2,axiom,
    ( c_in(X2,c_SetInterval_OatLeastAtMost(X4,X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastAtMost__iff_2) ).

cnf(cls_SetInterval_OgreaterThanAtMost__iff_2,axiom,
    ( c_in(X3,c_SetInterval_OgreaterThanAtMost(X2,X4,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OgreaterThanAtMost__iff_2) ).

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_Message_OFake__analz__eq_0,axiom,
    ( c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OFake__analz__eq_0) ).

cnf(cls_Parity_Opower__less__zero__eq__number__of_2,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__less__zero__eq__number__of_2) ).

cnf(cls_Parity_Ozero__less__power__eq__number__of_5,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__eq__number__of_5) ).

cnf(cls_Parity_Ozero__le__power__eq__number__of_2,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__le__power__eq__number__of_2) ).

cnf(cls_Power_Ozero__less__power__abs__iff_0,axiom,
    ( X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Ozero__less__power__abs__iff_0) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if_1,axiom,
    ( X2 = c_0
    | c_divide(c_times(X2,X3,X1),c_times(X2,X4,X1),X1) = c_divide(X3,X4,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__left__if_1) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if_1,axiom,
    ( X2 = c_0
    | c_divide(c_times(X3,X2,X1),c_times(X4,X2,X1),X1) = c_divide(X3,X4,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__right__if_1) ).

cnf(cls_OrderedGroup_Oabs__add__abs_0,axiom,
    ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1),X1) = c_plus(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__add__abs_0) ).

cnf(cls_Ring__and__Field_Odivide__divide__eq__left_0,axiom,
    ( c_divide(c_divide(X2,X3,X1),X4,X1) = c_divide(X2,c_times(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__divide__eq__left_0) ).

cnf(cls_Ring__and__Field_Odivide__divide__eq__right_0,axiom,
    ( c_divide(X2,c_divide(X3,X4,X1),X1) = c_divide(c_times(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__divide__eq__right_0) ).

cnf(cls_IntDef_OInts__diff_0,axiom,
    ( c_in(c_minus(X3,X2,X1),c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_in(X2,c_IntDef_OInts,X1)
    | ~ c_in(X3,c_IntDef_OInts,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_OInts__diff_0) ).

cnf(cls_IntDef_ONats__add_0,axiom,
    ( c_in(c_plus(X3,X2,X1),c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ c_in(X2,c_IntDef_ONats,X1)
    | ~ c_in(X3,c_IntDef_ONats,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_ONats__add_0) ).

cnf(cls_IntDef_OInts__add_0,axiom,
    ( c_in(c_plus(X3,X2,X1),c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_in(X2,c_IntDef_OInts,X1)
    | ~ c_in(X3,c_IntDef_OInts,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_OInts__add_0) ).

cnf(cls_IntDef_ONats__mult_0,axiom,
    ( c_in(c_times(X3,X2,X1),c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ c_in(X2,c_IntDef_ONats,X1)
    | ~ c_in(X3,c_IntDef_ONats,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_ONats__mult_0) ).

cnf(cls_IntDef_OInts__mult_0,axiom,
    ( c_in(c_times(X3,X2,X1),c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_in(X2,c_IntDef_OInts,X1)
    | ~ c_in(X3,c_IntDef_OInts,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_OInts__mult_0) ).

cnf(cls_Set_OInter__iff_2,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInter__iff__1(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__iff_2) ).

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_Yahalom_OSpy__analz__shrK_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OSpy__analz__shrK_0) ).

cnf(cls_Yahalom_OSpy__see__shrK_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OSpy__see__shrK_0) ).

cnf(cls_NatBin_Opower__nat__number__of__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_nat),tc_IntDef_Oint)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Opower__nat__number__of__number__of_1) ).

cnf(cls_NatBin_Odiv__nat__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Odiv__nat__number__of_1) ).

cnf(cls_List_Oset__remove1__eq_0,axiom,
    ( c_List_Oset(c_List_Oremove1(X3,X1,X2),X2) = c_minus(c_List_Oset(X1,X2),c_insert(X3,c_emptyset,X2),tc_set(X2))
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__remove1__eq_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq_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/MSC001-1.ax',cls_Set_Osingleton__insert__inj__eq_1) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H_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/MSC001-1.ax',cls_Set_Osingleton__insert__inj__eq_H_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_List_Onth__mem_0,axiom,
    ( c_in(c_List_Onth(X2,X1,X3),c_List_Oset(X2,X3),X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__mem_0) ).

cnf(cls_Ring__and__Field_Otimes__divide__eq__2_0,axiom,
    ( c_times(c_divide(X2,X3,X1),X4,X1) = c_divide(c_times(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Otimes__divide__eq__2_0) ).

cnf(cls_Ring__and__Field_Otimes__divide__eq__1_0,axiom,
    ( c_times(X2,c_divide(X3,X4,X1),X1) = c_divide(c_times(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Otimes__divide__eq__1_0) ).

cnf(cls_NatSimprocs_Ominus__less__iff__number__of_1,axiom,
    ( c_less(c_uminus(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__less__iff__number__of_1) ).

cnf(cls_NatSimprocs_Ominus__le__iff__number__of_1,axiom,
    ( c_lessequals(c_uminus(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__le__iff__number__of_1) ).

cnf(cls_NatSimprocs_Oless__minus__iff__number__of_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X3,X1),c_uminus(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__minus__iff__number__of_1) ).

cnf(cls_NatSimprocs_Ole__minus__iff__number__of_1,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X3,X1),c_uminus(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__minus__iff__number__of_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_List_Olast__snoc_0,axiom,
    c_List_Olast(c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast__snoc_0) ).

cnf(cls_List_Obutlast__snoc_0,axiom,
    c_List_Obutlast(c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Obutlast__snoc_0) ).

cnf(cls_Set_ODiff__iff_0,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__iff_0) ).

cnf(cls_IntDef_OInteg_OAbs__Integ__inject_0,axiom,
    ( X2 = X1
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | c_IntDef_OAbs__Integ(X2) != c_IntDef_OAbs__Integ(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_OInteg_OAbs__Integ__inject_0) ).

cnf(cls_conjecture_7,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_Event_Oknows__Spy__Notes_0,axiom,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oknows__Spy__Notes_0) ).

cnf(cls_List_Oremove1_Osimps__2_1,axiom,
    ( X1 = X2
    | c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremove1_Osimps__2_1) ).

cnf(cls_Set_OUn__subset__iff_0,axiom,
    ( c_lessequals(X1,X4,tc_set(X3))
    | ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__subset__iff_0) ).

cnf(cls_Set_OUn__subset__iff_1,axiom,
    ( c_lessequals(X2,X4,tc_set(X3))
    | ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__subset__iff_1) ).

cnf(cls_Set_Oinsert__subset_1,axiom,
    ( c_lessequals(X2,X4,tc_set(X3))
    | ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__subset_1) ).

cnf(cls_Message_OMPair__synth__analz_2,axiom,
    ( c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__synth__analz_2) ).

cnf(cls_Message_Oanalz__Crypt__if_1,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__Crypt__if_1) ).

cnf(cls_List_Oappend__assoc_0,axiom,
    c_append(c_append(X1,X2,X3),X4,X3) = c_append(X1,c_append(X2,X4,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__assoc_0) ).

cnf(cls_List_Oop_A_64_Oappend__Cons_0,axiom,
    c_append(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_append(X2,X4,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oop_A_64_Oappend__Cons_0) ).

cnf(cls_Set_OUn__insert__left_0,axiom,
    c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__insert__left_0) ).

cnf(cls_Set_OUn__insert__right_0,axiom,
    c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__insert__right_0) ).

cnf(cls_Finite__Set_Ofinite__Un_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/MSC001-1.ax',cls_Finite__Set_Ofinite__Un_0) ).

cnf(cls_Finite__Set_Ofinite__Un_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/MSC001-1.ax',cls_Finite__Set_Ofinite__Un_1) ).

cnf(cls_Finite__Set_Ofinite__insert_0,axiom,
    ( c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Ofinite__insert_0) ).

cnf(cls_NatArith_Odiff__less_0,axiom,
    ( c_less(c_minus(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Odiff__less_0) ).

cnf(cls_Divides_Odiv__less__dividend_0,axiom,
    ( c_less(c_div(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__less__dividend_0) ).

cnf(cls_List_Odrop__replicate_0,axiom,
    c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_minus(X2,X1,tc_nat),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__replicate_0) ).

cnf(cls_List_Odrop__drop_0,axiom,
    c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(c_plus(X1,X2,tc_nat),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__drop_0) ).

cnf(cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_0,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(c_plus(X2,X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_0) ).

cnf(cls_Nat_Onat__0__less__mult__iff_2,axiom,
    ( c_less(c_0,c_times(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__0__less__mult__iff_2) ).

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_Oinsert__subset_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__subset_0) ).

cnf(cls_List_Odistinct_Osimps__2_0,axiom,
    ( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct_Osimps__2_0) ).

cnf(cls_Orderings_Omax__less__iff__conj_0,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omax__less__iff__conj_0) ).

cnf(cls_Orderings_Omax__less__iff__conj_1,axiom,
    ( c_less(X3,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omax__less__iff__conj_1) ).

cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).

cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1) ).

cnf(cls_Orderings_Omin__less__iff__conj_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,c_Orderings_Omin(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__less__iff__conj_0) ).

cnf(cls_SetInterval_OgreaterThanLessThan__iff_1,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OgreaterThanLessThan__iff_1) ).

cnf(cls_SetInterval_OatLeastLessThan__iff_1,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastLessThan__iff_1) ).

cnf(cls_Orderings_Omin__less__iff__conj_1,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,c_Orderings_Omin(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__less__iff__conj_1) ).

cnf(cls_SetInterval_OgreaterThanLessThan__iff_0,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OgreaterThanLessThan__iff_0) ).

cnf(cls_SetInterval_OgreaterThanAtMost__iff_0,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OgreaterThanAtMost__iff_0) ).

cnf(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Omin(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_0) ).

cnf(cls_SetInterval_OgreaterThanAtMost__iff_1,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OgreaterThanAtMost__iff_1) ).

cnf(cls_SetInterval_OatLeastAtMost__iff_1,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastAtMost__iff_1) ).

cnf(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_1,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Omin(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_1) ).

cnf(cls_SetInterval_OatLeastLessThan__iff_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastLessThan__iff_0) ).

cnf(cls_SetInterval_OatLeastAtMost__iff_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastAtMost__iff_0) ).

cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz_ODecrypt__dest_0) ).

cnf(cls_NatArith_Oof__nat__diff_0,axiom,
    ( c_NatArith_Oof__nat(c_minus(X3,X2,tc_nat),X1) = c_minus(c_NatArith_Oof__nat(X3,X1),c_NatArith_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__diff_0) ).

cnf(cls_Set_ODiff__iff_2,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/MSC001-1.ax',cls_Set_ODiff__iff_2) ).

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_NatSimprocs_Ominus__less__iff__number__of_0,axiom,
    ( c_less(c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__less__iff__number__of_0) ).

cnf(cls_NatSimprocs_Ominus__le__iff__number__of_0,axiom,
    ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__le__iff__number__of_0) ).

cnf(cls_NatSimprocs_Oless__minus__iff__number__of_0,axiom,
    ( c_less(X3,c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_uminus(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__minus__iff__number__of_0) ).

cnf(cls_NatSimprocs_Ole__minus__iff__number__of_0,axiom,
    ( c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_uminus(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__minus__iff__number__of_0) ).

cnf(cls_Ring__and__Field_Ozero__less__divide__1__iff_0,axiom,
    ( c_less(c_0,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_1,X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ozero__less__divide__1__iff_0) ).

cnf(cls_Ring__and__Field_Ozero__le__divide__1__iff_0,axiom,
    ( c_lessequals(c_0,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_1,X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ozero__le__divide__1__iff_0) ).

cnf(cls_Ring__and__Field_Odivide__less__0__1__iff_0,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_1,X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__less__0__1__iff_0) ).

cnf(cls_Ring__and__Field_Odivide__le__0__1__iff_0,axiom,
    ( c_lessequals(X2,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_1,X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__le__0__1__iff_0) ).

cnf(cls_Set_Oinsert__Diff1_0,axiom,
    ( c_minus(c_insert(X1,X4,X3),X2,tc_set(X3)) = c_minus(X4,X2,tc_set(X3))
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__Diff1_0) ).

cnf(cls_OrderedGroup_Odiff__less__0__iff__less_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_minus(X2,X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__less__0__iff__less_0) ).

cnf(cls_OrderedGroup_Odiff__le__0__iff__le_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_minus(X2,X3,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__le__0__iff__le_0) ).

cnf(cls_IntDiv_Ozdiv__zadd__self1_0,axiom,
    ( X1 = c_0
    | c_div(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__zadd__self1_0) ).

cnf(cls_IntDiv_Ozdiv__zadd__self2_0,axiom,
    ( X1 = c_0
    | c_div(c_plus(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__zadd__self2_0) ).

cnf(cls_Nat_Odiff__diff__left_0,axiom,
    c_minus(c_minus(X1,X2,tc_nat),X3,tc_nat) = c_minus(X1,c_plus(X2,X3,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__diff__left_0) ).

cnf(cls_Nat_Omult__le__cancel1_1,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__le__cancel1_1) ).

cnf(cls_Nat_Omult__le__cancel2_1,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_lessequals(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__le__cancel2_1) ).

cnf(cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_0,axiom,
    ( c_lessequals(c_0,X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_0,c_plus(X2,X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_0) ).

cnf(cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_0,axiom,
    ( c_lessequals(X2,c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_plus(X2,X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_0) ).

cnf(cls_List_Oop_Amem_Osimps__2_0,axiom,
    ( c_List_Oop_Amem(X1,X3,X4)
    | X2 = X1
    | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oop_Amem_Osimps__2_0) ).

cnf(cls_Set_Oinsert__iff_0,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__iff_0) ).

cnf(cls_IntDiv_Ozero__less__zpower__abs__iff_0,axiom,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozero__less__zpower__abs__iff_0) ).

cnf(cls_NatSimprocs_Oadd__self__div__2_0,axiom,
    c_div(c_plus(X1,X1,tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oadd__self__div__2_0) ).

cnf(cls_List_Orev_Osimps__2_0,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev_Osimps__2_0) ).

cnf(cls_Finite__Set_OMin__insert_0,axiom,
    ( X2 = c_emptyset
    | c_Finite__Set_OMin(c_insert(X3,X2,X1),X1) = c_Orderings_Omin(X3,c_Finite__Set_OMin(X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__insert_0) ).

cnf(cls_Finite__Set_OMax__insert_0,axiom,
    ( X2 = c_emptyset
    | c_Finite__Set_OMax(c_insert(X3,X2,X1),X1) = c_Orderings_Omax(X3,c_Finite__Set_OMax(X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__insert_0) ).

cnf(cls_Nat_Ozero__less__diff_0,axiom,
    ( c_less(X2,X1,tc_nat)
    | ~ c_less(c_0,c_minus(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Ozero__less__diff_0) ).

cnf(cls_Yahalom_OKeyWithNonce__Notes_1,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X4,X5),X3,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OKeyWithNonce__Notes_1) ).

cnf(cls_Yahalom_OKeyWithNonce__Gets_1,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X4,X5),X3,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_OKeyWithNonce__Gets_1) ).

cnf(cls_List_Olist__inter_Osimps__2_1,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist__inter(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist__inter_Osimps__2_1) ).

cnf(cls_Nat_Onat__0__less__mult__iff_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_times(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__0__less__mult__iff_0) ).

cnf(cls_Nat_Onat__0__less__mult__iff_1,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,c_times(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__0__less__mult__iff_1) ).

cnf(cls_IntArith_Ozle__diff1__eq_0,axiom,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Ozle__diff1__eq_0) ).

cnf(cls_IntArith_Ozle__add1__eq__le_0,axiom,
    ( c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Ozle__add1__eq__le_0) ).

cnf(cls_Set_OUnion__iff_0,axiom,
    ( c_in(c_Main_OUnion__iff__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__iff_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_Yahalom_OSpy__analz__shrK_1,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OSpy__analz__shrK_1) ).

cnf(cls_Yahalom_OSpy__see__shrK_1,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OSpy__see__shrK_1) ).

cnf(cls_List_Orev__eq__Cons__iff_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/MSC001-1.ax',cls_List_Orev__eq__Cons__iff_0) ).

cnf(cls_List_Osublist__singleton_0,axiom,
    ( c_List_Osublist(c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X1,X3) = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | ~ c_in(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Osublist__singleton_0) ).

cnf(cls_IntDiv_Ozdiv__number__of__BIT_0,axiom,
    c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__number__of__BIT_0) ).

cnf(cls_Set_OUnion__iff_1,axiom,
    ( c_in(X1,c_Main_OUnion__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__iff_1) ).

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_Parity_Opower__le__zero__eq__number__of_5,axiom,
    ( c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
    | c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__le__zero__eq__number__of_5) ).

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_Event_OkeysFor__synth_H_0,axiom,
    ( c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | c_in(c_Message_Omsg_OKey(v_sko__uhi(X2,X1)),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_OkeysFor__synth_H_0) ).

cnf(cls_Set_ODiff__insert0_0,axiom,
    ( c_in(X1,X2,X3)
    | c_minus(X2,c_insert(X1,X4,X3),tc_set(X3)) = c_minus(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__insert0_0) ).

cnf(cls_Parity_Ozero__less__power__nat__eq__number__of_2,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__nat__eq__number__of_2) ).

cnf(cls_List_Oremdups_Osimps__2_1,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremdups_Osimps__2_1) ).

cnf(cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_0) ).

cnf(cls_Public_OSpy__spies__bad__privateKey_0,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X2,X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OSpy__spies__bad__privateKey_0) ).

cnf(cls_List_Olast__drop_0,axiom,
    ( c_List_Olast(c_List_Odrop(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast__drop_0) ).

cnf(cls_Parity_Ozero__less__power__eq__number__of_4,axiom,
    ( c_less(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
    | X3 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__eq__number__of_4) ).

cnf(cls_Set_OInter__iff_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/MSC001-1.ax',cls_Set_OInter__iff_0) ).

cnf(cls_List_Otl__replicate_0,axiom,
    ( X1 = c_0
    | c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_minus(X1,c_1,tc_nat),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otl__replicate_0) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if_0,axiom,
    ( c_divide(c_times(c_0,X2,X1),c_times(c_0,X3,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__left__if_0) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if_0,axiom,
    ( c_divide(c_times(X2,c_0,X1),c_times(X3,c_0,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__right__if_0) ).

cnf(cls_Set_OCompl__subset__Compl__iff_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/MSC001-1.ax',cls_Set_OCompl__subset__Compl__iff_0) ).

cnf(cls_Parity_Ozero__le__power__eq__number__of_1,axiom,
    ( c_lessequals(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__le__power__eq__number__of_1) ).

cnf(cls_NatSimprocs_Odivide__eq__eq__number__of_3,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_0
    | c_divide(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1) = X3
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__eq__eq__number__of_3) ).

cnf(cls_NatSimprocs_Oeq__divide__eq__number__of_0,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_0
    | c_times(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1) = X3
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oeq__divide__eq__number__of_0) ).

cnf(cls_NatSimprocs_Oeq__divide__eq__number__of_3,axiom,
    ( X2 = c_divide(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_Numeral_Onumber__of(X3,X1),X1)
    | c_Numeral_Onumber__of(X3,X1) = c_0
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oeq__divide__eq__number__of_3) ).

cnf(cls_NatSimprocs_Odivide__eq__eq__number__of_0,axiom,
    ( X2 = c_times(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),c_Numeral_Onumber__of(X3,X1),X1)
    | c_Numeral_Onumber__of(X3,X1) = c_0
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__eq__eq__number__of_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_Message_OCrypt__synth__eq_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OCrypt__synth__eq_0) ).

cnf(cls_Message_OMPair__synth_1,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__synth_1) ).

cnf(cls_Message_OCrypt__synth_1,axiom,
    ( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OCrypt__synth_1) ).

cnf(cls_Message_OMPair__synth_0,axiom,
    ( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__synth_0) ).

cnf(cls_Message_Osynth_OCrypt_0,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Osynth_OCrypt_0) ).

cnf(cls_Message_Osynth_OMPair_0,axiom,
    ( c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Osynth_OMPair_0) ).

cnf(cls_Power_Opower__inject__exp_0,axiom,
    ( X3 = X4
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,X2,X1)
    | c_Nat_Opower(X2,X3,X1) != c_Nat_Opower(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__inject__exp_0) ).

cnf(cls_Finite__Set_Ofinite__Diff_0,axiom,
    ( c_in(c_minus(X1,X3,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Ofinite__Diff_0) ).

cnf(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Oinf__Sup__absorb_0,axiom,
    ( X3 = c_emptyset
    | c_Orderings_Omin(X2,c_Finite__Set_OMax(X3,X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Oinf__Sup__absorb_0) ).

cnf(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Osup__Inf__absorb_0,axiom,
    ( X3 = c_emptyset
    | c_Orderings_Omax(X2,c_Finite__Set_OMin(X3,X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Osup__Inf__absorb_0) ).

cnf(cls_Message_OCrypt__synth__eq_1,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OCrypt__synth__eq_1) ).

cnf(cls_Finite__Set_OMin__le_0,axiom,
    ( c_lessequals(c_Finite__Set_OMin(X3,X1),X2,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__le_0) ).

cnf(cls_Finite__Set_OMax__ge_0,axiom,
    ( c_lessequals(X2,c_Finite__Set_OMax(X3,X1),X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__ge_0) ).

cnf(cls_Public_OCrypt__imp__keysFor_0,axiom,
    ( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Public_OCrypt__imp__keysFor_0) ).

cnf(cls_Set_OUnion__iff_2,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/MSC001-1.ax',cls_Set_OUnion__iff_2) ).

cnf(cls_List_Oremdups_Osimps__2_0,axiom,
    ( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremdups_Osimps__2_0) ).

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_List_Odrop__Cons__number__of_0,axiom,
    ( c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__Cons__number__of_0) ).

cnf(cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_1,axiom,
    ( c_less(c_plus(X2,X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_1) ).

cnf(cls_NatSimprocs_Odivide__eq__eq__number__of_4,axiom,
    ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1) = c_0
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__eq__eq__number__of_4) ).

cnf(cls_NatSimprocs_Oeq__divide__eq__number__of_4,axiom,
    ( c_0 = c_divide(c_times(c_0,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oeq__divide__eq__number__of_4) ).

cnf(cls_Message_Oanalz__insert__Key_0,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
    | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__insert__Key_0) ).

cnf(cls_List_Olength__append_0,axiom,
    c_Nat_Osize(c_append(X1,X2,X3),tc_List_Olist(X3)) = c_plus(c_Nat_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__append_0) ).

cnf(cls_Ring__and__Field_Odivide__less__0__1__iff_1,axiom,
    ( c_less(c_divide(c_1,X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__less__0__1__iff_1) ).

cnf(cls_Ring__and__Field_Odivide__le__0__1__iff_1,axiom,
    ( c_lessequals(c_divide(c_1,X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__le__0__1__iff_1) ).

cnf(cls_Ring__and__Field_Ozero__less__divide__1__iff_1,axiom,
    ( c_less(c_0,c_divide(c_1,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ozero__less__divide__1__iff_1) ).

cnf(cls_Ring__and__Field_Ozero__le__divide__1__iff_1,axiom,
    ( c_lessequals(c_0,c_divide(c_1,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ozero__le__divide__1__iff_1) ).

cnf(cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_1,axiom,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_1) ).

cnf(cls_NatBin_Odvd__eq__mod__eq__0__number__of_1,axiom,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Odvd__eq__mod__eq__0__number__of_1) ).

cnf(cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_0) ).

cnf(cls_NatBin_Odvd__eq__mod__eq__0__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Odvd__eq__mod__eq__0__number__of_0) ).

cnf(cls_OrderedGroup_Odiff__less__0__iff__less_1,axiom,
    ( c_less(c_minus(X2,X3,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__less__0__iff__less_1) ).

cnf(cls_OrderedGroup_Odiff__le__0__iff__le_1,axiom,
    ( c_lessequals(c_minus(X2,X3,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).

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_Parity_Opower__even__abs__number__of_0,axiom,
    ( c_Nat_Opower(c_HOL_Oabs(X3,X1),c_Numeral_Onumber__of(X2,tc_nat),X1) = c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__even__abs__number__of_0) ).

cnf(cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_1,axiom,
    ( c_lessequals(c_plus(X2,X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_1) ).

cnf(cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_1,axiom,
    ( c_lessequals(c_0,c_plus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_1) ).

cnf(cls_SetInterval_Osingle__Diff__lessThan_0,axiom,
    ( c_minus(c_insert(X2,c_emptyset,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1)) = c_insert(X2,c_emptyset,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Osingle__Diff__lessThan_0) ).

cnf(cls_Set_OInter__iff_1,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInter__iff__1(X1,X2,X3),X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__iff_1) ).

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_List_Oop_Amem_Osimps__2_2,axiom,
    ( c_List_Oop_Amem(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_Oop_Amem(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oop_Amem_Osimps__2_2) ).

cnf(cls_Set_OUn__iff_1,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__iff_1) ).

cnf(cls_Set_OUn__iff_2,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__iff_2) ).

cnf(cls_Set_Oinsert__iff_2,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__iff_2) ).

cnf(cls_Relation_OImage__Id_0,axiom,
    c_Relation_OImage(c_Relation_OId,X1,X2,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_OImage__Id_0) ).

cnf(cls_Public_Okeymode_Orecs__2_0,axiom,
    c_Public_Okeymode_Okeymode__rec(X1,X2,c_Public_Okeymode_OEncryption,X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Okeymode_Orecs__2_0) ).

cnf(cls_Public_Okeymode_Orecs__1_0,axiom,
    c_Public_Okeymode_Okeymode__rec(X1,X2,c_Public_Okeymode_OSignature,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Okeymode_Orecs__1_0) ).

cnf(cls_Public_Okeymode_Ocases__2_0,axiom,
    c_Public_Okeymode_Okeymode__case(X1,X2,c_Public_Okeymode_OEncryption,X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Okeymode_Ocases__2_0) ).

cnf(cls_Public_Okeymode_Ocases__1_0,axiom,
    c_Public_Okeymode_Okeymode__case(X1,X2,c_Public_Okeymode_OSignature,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Okeymode_Ocases__1_0) ).

cnf(cls_Numeral_Obit_Orecs__1_0,axiom,
    c_Numeral_Obit_Obit__rec(X1,X2,c_Numeral_Obit_OB0,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Orecs__1_0) ).

cnf(cls_Numeral_Obit_Orecs__2_0,axiom,
    c_Numeral_Obit_Obit__rec(X1,X2,c_Numeral_Obit_OB1,X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Orecs__2_0) ).

cnf(cls_Numeral_Obit_Ocases__1_0,axiom,
    c_Numeral_Obit_Obit__case(X1,X2,c_Numeral_Obit_OB0,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Ocases__1_0) ).

cnf(cls_Numeral_Obit_Ocases__2_0,axiom,
    c_Numeral_Obit_Obit__case(X1,X2,c_Numeral_Obit_OB1,X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Ocases__2_0) ).

cnf(cls_Extraction_Osumbool_Orecs__2_0,axiom,
    c_Extraction_Osumbool_Osumbool__rec(X1,X2,c_Extraction_Osumbool_ORight,X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Extraction_Osumbool_Orecs__2_0) ).

cnf(cls_Extraction_Osumbool_Orecs__1_0,axiom,
    c_Extraction_Osumbool_Osumbool__rec(X1,X2,c_Extraction_Osumbool_OLeft,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Extraction_Osumbool_Orecs__1_0) ).

cnf(cls_Extraction_Osumbool_Ocases__2_0,axiom,
    c_Extraction_Osumbool_Osumbool__case(X1,X2,c_Extraction_Osumbool_ORight,X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Extraction_Osumbool_Ocases__2_0) ).

cnf(cls_Extraction_Osumbool_Ocases__1_0,axiom,
    c_Extraction_Osumbool_Osumbool__case(X1,X2,c_Extraction_Osumbool_OLeft,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Extraction_Osumbool_Ocases__1_0) ).

cnf(cls_Nat_Onot__add__less1_0,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__add__less1_0) ).

cnf(cls_Nat_Onot__add__less2_0,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__add__less2_0) ).

cnf(cls_List_Onth__replicate_0,axiom,
    ( c_List_Onth(c_List_Oreplicate(X2,X3,X4),X1,X4) = X3
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__replicate_0) ).

cnf(cls_List_Ozip__Nil_0,axiom,
    c_List_Ozip(c_List_Olist_ONil,X1,X2,X3) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ozip__Nil_0) ).

cnf(cls_List_Olist__update_Osimps__1_0,axiom,
    c_List_Olist__update(c_List_Olist_ONil,X1,X2,X3) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist__update_Osimps__1_0) ).

cnf(cls_Datatype__Universe_Ontrunc__0_0,axiom,
    c_Datatype__Universe_Ontrunc(c_0,X1,X2,X3) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_Ontrunc__0_0) ).

cnf(cls_List_Ozip_Osimps__1_0,axiom,
    c_List_Ozip(X1,c_List_Olist_ONil,X2,X3) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ozip_Osimps__1_0) ).

cnf(cls_Relation_OImage__empty_0,axiom,
    c_Relation_OImage(X1,c_emptyset,X2,X3) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_OImage__empty_0) ).

cnf(cls_Sum__Type_OUNIV__Plus__UNIV_0,axiom,
    c_Sum__Type_OPlus(c_UNIV,c_UNIV,X1,X2) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Sum__Type_OUNIV__Plus__UNIV_0) ).

cnf(cls_Nat_Ole__add__diff__inverse2_0,axiom,
    ( c_plus(c_minus(X2,X1,tc_nat),X1,tc_nat) = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Ole__add__diff__inverse2_0) ).

cnf(cls_NatArith_Odiff__diff__cancel_0,axiom,
    ( c_minus(X2,c_minus(X2,X1,tc_nat),tc_nat) = X1
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Odiff__diff__cancel_0) ).

cnf(cls_Nat_Ole__add__diff__inverse_0,axiom,
    ( c_plus(X1,c_minus(X2,X1,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Ole__add__diff__inverse_0) ).

cnf(cls_Ring__and__Field_Oinverse__mult__distrib_0,axiom,
    ( c_HOL_Oinverse(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__mult__distrib_0) ).

cnf(cls_Ring__and__Field_Oabs__divide_0,axiom,
    ( c_HOL_Oabs(c_divide(X2,X3,X1),X1) = c_divide(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oabs__divide_0) ).

cnf(cls_Power_Onat__zero__less__power__iff_0,axiom,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Onat__zero__less__power__iff_0) ).

cnf(cls_Parity_Ozero__less__power__eq__number__of_3,axiom,
    ( c_less(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__eq__number__of_3) ).

cnf(cls_Set_ODiff__idemp_0,axiom,
    c_minus(c_minus(X1,X2,tc_set(X3)),X2,tc_set(X3)) = c_minus(X1,X2,tc_set(X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__idemp_0) ).

cnf(cls_SetInterval_OlessThan__subset__iff_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/MSC001-1.ax',cls_SetInterval_OlessThan__subset__iff_0) ).

cnf(cls_SetInterval_OatMost__subset__iff_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/MSC001-1.ax',cls_SetInterval_OatMost__subset__iff_0) ).

cnf(cls_SetInterval_OgreaterThan__subset__iff_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/MSC001-1.ax',cls_SetInterval_OgreaterThan__subset__iff_0) ).

cnf(cls_SetInterval_OatLeast__subset__iff_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/MSC001-1.ax',cls_SetInterval_OatLeast__subset__iff_0) ).

cnf(cls_Nat_Ozero__less__diff_1,axiom,
    ( c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Ozero__less__diff_1) ).

cnf(cls_List_Oconcat__append_0,axiom,
    c_List_Oconcat(c_append(X1,X2,tc_List_Olist(X3)),X3) = c_append(c_List_Oconcat(X1,X3),c_List_Oconcat(X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oconcat__append_0) ).

cnf(cls_Set_OUnion__Un__distrib_0,axiom,
    c_Union(c_union(X1,X2,tc_set(X3)),X3) = c_union(c_Union(X1,X3),c_Union(X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__Un__distrib_0) ).

cnf(cls_Divides_Odiv__mult__self1__is__m_0,axiom,
    ( c_div(c_times(X1,X2,tc_nat),X1,tc_nat) = X2
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__mult__self1__is__m_0) ).

cnf(cls_Divides_Odiv__mult__self__is__m_0,axiom,
    ( c_div(c_times(X2,X1,tc_nat),X1,tc_nat) = X2
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__mult__self__is__m_0) ).

cnf(cls_List_Oappend__butlast__last__id_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil,X2),X2) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__butlast__last__id_0) ).

cnf(cls_IntDiv_Opos__mod__bound_0,axiom,
    ( c_less(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Opos__mod__bound_0) ).

cnf(cls_Divides_Omod__less__divisor_0,axiom,
    ( c_less(c_Divides_Oop_Amod(X2,X1,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__less__divisor_0) ).

cnf(cls_Divides_Omod__le__divisor_0,axiom,
    ( c_lessequals(c_Divides_Oop_Amod(X2,X1,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__le__divisor_0) ).

cnf(cls_IntDiv_Oneg__mod__bound_0,axiom,
    ( c_less(X1,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Oneg__mod__bound_0) ).

cnf(cls_IntArith_Ozle__add1__eq__le_1,axiom,
    ( c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Ozle__add1__eq__le_1) ).

cnf(cls_IntArith_Ozle__diff1__eq_1,axiom,
    ( c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Ozle__diff1__eq_1) ).

cnf(cls_List_Oappend__eq__append__conv_0,axiom,
    ( X1 = X3
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X1,X4,X2) != c_append(X3,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__eq__append__conv_0) ).

cnf(cls_List_Oappend__eq__append__conv_3,axiom,
    ( X1 = X3
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X4,X1,X2) != c_append(X5,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__eq__append__conv_3) ).

cnf(cls_List_Oappend__eq__append__conv_1,axiom,
    ( X4 = X5
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X1,X4,X2) != c_append(X3,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__eq__append__conv_1) ).

cnf(cls_List_Oappend__eq__append__conv_2,axiom,
    ( X4 = X5
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X4,X1,X2) != c_append(X5,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__eq__append__conv_2) ).

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_IntDiv_Oneg__mod__sign_0,axiom,
    ( c_lessequals(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Oneg__mod__sign_0) ).

cnf(cls_Nat_Oadd__gr__0_1,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/MSC001-1.ax',cls_Nat_Oadd__gr__0_1) ).

cnf(cls_Nat_Oadd__gr__0_2,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/MSC001-1.ax',cls_Nat_Oadd__gr__0_2) ).

cnf(cls_IntDiv_Opos__mod__sign_0,axiom,
    ( c_lessequals(c_0,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Opos__mod__sign_0) ).

cnf(cls_Parity_Oeven__power_1,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__power_1) ).

cnf(cls_Parity_Oeven__nat__power_1,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__power_1) ).

cnf(cls_OrderedGroup_Oneg__meet__eq__join_0,axiom,
    ( c_uminus(c_LOrder_Omeet(X2,X3,X1),X1) = c_LOrder_Ojoin(c_uminus(X2,X1),c_uminus(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__meet__eq__join_0) ).

cnf(cls_OrderedGroup_Oneg__join__eq__meet_0,axiom,
    ( c_uminus(c_LOrder_Ojoin(X2,X3,X1),X1) = c_LOrder_Omeet(c_uminus(X2,X1),c_uminus(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__join__eq__meet_0) ).

cnf(cls_OrderedGroup_Ominus__add__distrib_0,axiom,
    ( c_uminus(c_plus(X2,X3,X1),X1) = c_plus(c_uminus(X2,X1),c_uminus(X3,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__add__distrib_0) ).

cnf(cls_Set_OCompl__subset__Compl__iff_1,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/MSC001-1.ax',cls_Set_OCompl__subset__Compl__iff_1) ).

cnf(cls_Event_Oknows__Spy__Notes_1,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oknows__Spy__Notes_1) ).

cnf(cls_Set_OCompl__iff_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__iff_0) ).

cnf(cls_Set_OCompl__Diff__eq_0,axiom,
    c_uminus(c_minus(X1,X2,tc_set(X3)),tc_set(X3)) = c_union(c_uminus(X1,tc_set(X3)),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__Diff__eq_0) ).

cnf(cls_IntDef_Oof__int__diff_0,axiom,
    ( c_IntDef_Oof__int(c_minus(X2,X3,tc_IntDef_Oint),X1) = c_minus(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__diff_0) ).

cnf(cls_IntDef_Oof__int__add_0,axiom,
    ( c_IntDef_Oof__int(c_plus(X2,X3,tc_IntDef_Oint),X1) = c_plus(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__add_0) ).

cnf(cls_IntDef_Oof__int__mult_0,axiom,
    ( c_IntDef_Oof__int(c_times(X2,X3,tc_IntDef_Oint),X1) = c_times(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__mult_0) ).

cnf(cls_NatArith_Oof__nat__add_0,axiom,
    ( c_NatArith_Oof__nat(c_plus(X2,X3,tc_nat),X1) = c_plus(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__add_0) ).

cnf(cls_NatArith_Oof__nat__mult_0,axiom,
    ( c_NatArith_Oof__nat(c_times(X2,X3,tc_nat),X1) = c_times(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__mult_0) ).

cnf(cls_IntDef_Ozless__nat__conj_2,axiom,
    ( c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat)
    | ~ c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozless__nat__conj_2) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if1_1,axiom,
    ( X2 = c_0
    | c_divide(X2,c_times(X2,X3,X1),X1) = c_divide(c_1,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__left__if1_1) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if1_1,axiom,
    ( X2 = c_0
    | c_divide(X2,c_times(X3,X2,X1),X1) = c_divide(c_1,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__right__if1_1) ).

cnf(cls_OrderedGroup_Oneg__less__iff__less_0,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_uminus(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__less__iff__less_0) ).

cnf(cls_OrderedGroup_Oneg__le__iff__le_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_uminus(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__le__iff__le_0) ).

cnf(cls_NatBin_Opower__nat__number__of__number__of_0,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Opower__nat__number__of__number__of_0) ).

cnf(cls_Parity_Opower__minus__odd_0,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(X3,X1),X2,X1) = c_uminus(c_Nat_Opower(X3,X2,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__minus__odd_0) ).

cnf(cls_IntDef_Oof__int__less__iff_0,axiom,
    ( c_less(X2,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__less__iff_0) ).

cnf(cls_NatArith_Oof__nat__less__iff_0,axiom,
    ( c_less(X2,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__less__iff_0) ).

cnf(cls_IntDef_Oof__int__le__iff_0,axiom,
    ( c_lessequals(X2,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__le__iff_0) ).

cnf(cls_NatArith_Oof__nat__le__iff_0,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__le__iff_0) ).

cnf(cls_Message_Oanalz__analz__Un_0,axiom,
    c_Message_Oanalz(c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__analz__Un_0) ).

cnf(cls_Set_OUn__Diff__cancel2_0,axiom,
    c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__Diff__cancel2_0) ).

cnf(cls_Set_OUn__Diff__cancel_0,axiom,
    c_union(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_union(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__Diff__cancel_0) ).

cnf(cls_Power_Ozero__less__power__abs__iff_1,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),X3,X1),X1)
    | X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Ozero__less__power__abs__iff_1) ).

cnf(cls_List_Orev__append_0,axiom,
    c_List_Orev(c_append(X1,X2,X3),X3) = c_append(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev__append_0) ).

cnf(cls_List_Oset__append_0,axiom,
    c_List_Oset(c_append(X1,X2,X3),X3) = c_union(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__append_0) ).

cnf(cls_Power_Ozero__le__power__abs_0,axiom,
    ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),X3,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Ozero__le__power__abs_0) ).

cnf(cls_Message_OMPair__synth__analz_0,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__synth__analz_0) ).

cnf(cls_Message_OMPair__synth__analz_1,axiom,
    ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__synth__analz_1) ).

cnf(cls_Message_OkeysFor__insert__Crypt_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__insert__Crypt_0) ).

cnf(cls_List_Odistinct_Osimps__2_2,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2)
    | c_in(X3,c_List_Oset(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct_Osimps__2_2) ).

cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

cnf(cls_SetInterval_Ocard__greaterThanAtMost__int_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X2,X1,tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__greaterThanAtMost__int_0) ).

cnf(cls_SetInterval_Ocard__atLeastLessThan__int_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X2,X1,tc_IntDef_Oint)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atLeastLessThan__int_0) ).

cnf(cls_Power_Ozero__less__power__abs__iff_2,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),c_0,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Ozero__less__power__abs__iff_2) ).

cnf(cls_Orderings_Omin__max_Obelow__inf_Oinf__left__idem_0,axiom,
    ( c_Orderings_Omin(X2,c_Orderings_Omin(X2,X3,X1),X1) = c_Orderings_Omin(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__inf_Oinf__left__idem_0) ).

cnf(cls_Orderings_Omin__max_Obelow__sup_Osup__left__idem_0,axiom,
    ( c_Orderings_Omax(X2,c_Orderings_Omax(X2,X3,X1),X1) = c_Orderings_Omax(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Osup__left__idem_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_Message_OHash__synth_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OHash__synth_0) ).

cnf(cls_Parity_Ozero__less__power__nat__eq__number__of_1,axiom,
    ( c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ozero__less__power__nat__eq__number__of_1) ).

cnf(cls_Numeral_Obin__arith__extra__simps__6_0,axiom,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(X2,X1),X1) = c_uminus(c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__arith__extra__simps__6_0) ).

cnf(cls_Parity_Oeven__power_2,axiom,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__power_2) ).

cnf(cls_Parity_Oeven__nat__power_2,axiom,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__power_2) ).

cnf(cls_List_Olength__drop_0,axiom,
    c_Nat_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)) = c_minus(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__drop_0) ).

cnf(cls_NatSimprocs_Ominus1__divide_0,axiom,
    ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(c_divide(c_1,X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus1__divide_0) ).

cnf(cls_NatSimprocs_Ominus__less__iff__1_0,axiom,
    ( c_less(c_uminus(c_1,X1),X2,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__less__iff__1_0) ).

cnf(cls_NatSimprocs_Ominus__le__iff__1_0,axiom,
    ( c_lessequals(c_uminus(c_1,X1),X2,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__le__iff__1_0) ).

cnf(cls_NatSimprocs_Oless__minus__iff__1_0,axiom,
    ( c_less(X2,c_uminus(c_1,X1),X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_1,c_uminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__minus__iff__1_0) ).

cnf(cls_NatSimprocs_Ole__minus__iff__1_0,axiom,
    ( c_lessequals(X2,c_uminus(c_1,X1),X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_1,c_uminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__minus__iff__1_0) ).

cnf(cls_Parity_Oeven__difference_1,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__difference_1) ).

cnf(cls_Parity_Oeven__difference_0,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__difference_0) ).

cnf(cls_Parity_Oeven__sum_1,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__sum_1) ).

cnf(cls_Parity_Oeven__sum_0,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__sum_0) ).

cnf(cls_Parity_Oeven__nat__sum_1,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__sum_1) ).

cnf(cls_Parity_Oeven__nat__sum_0,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__sum_0) ).

cnf(cls_NatSimprocs_Ominus__less__iff__1_1,axiom,
    ( c_less(c_uminus(X2,X1),c_1,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(c_1,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__less__iff__1_1) ).

cnf(cls_NatSimprocs_Ominus__le__iff__1_1,axiom,
    ( c_lessequals(c_uminus(X2,X1),c_1,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(c_1,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__le__iff__1_1) ).

cnf(cls_NatSimprocs_Oless__minus__iff__1_1,axiom,
    ( c_less(c_1,c_uminus(X2,X1),X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,c_uminus(c_1,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oless__minus__iff__1_1) ).

cnf(cls_NatSimprocs_Ole__minus__iff__1_1,axiom,
    ( c_lessequals(c_1,c_uminus(X2,X1),X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_uminus(c_1,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ole__minus__iff__1_1) ).

cnf(cls_Message_Ostrange__Un__eq_0,axiom,
    c_union(X1,c_union(X2,X1,X3),X3) = c_union(X2,X1,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Ostrange__Un__eq_0) ).

cnf(cls_Set_Oinsert__absorb2_0,axiom,
    c_insert(X1,c_insert(X1,X2,X3),X3) = c_insert(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__absorb2_0) ).

cnf(cls_Ring__and__Field_Odivide__minus__right_0,axiom,
    ( c_divide(X2,c_uminus(X3,X1),X1) = c_uminus(c_divide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__minus__right_0) ).

cnf(cls_IntDiv_Ozmod__zminus__zminus_0,axiom,
    c_Divides_Oop_Amod(c_uminus(X1,tc_IntDef_Oint),c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__zminus__zminus_0) ).

cnf(cls_List_Olistset_Osimps__2_0,axiom,
    c_List_Olistset(c_List_Olist_OCons(X1,X2,tc_set(X3)),X3) = c_List_Oset__Cons(X1,c_List_Olistset(X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olistset_Osimps__2_0) ).

cnf(cls_List_Oconcat_Osimps__2_0,axiom,
    c_List_Oconcat(c_List_Olist_OCons(X1,X2,tc_List_Olist(X3)),X3) = c_append(X1,c_List_Oconcat(X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oconcat_Osimps__2_0) ).

cnf(cls_Set_OUnion__insert_0,axiom,
    c_Union(c_insert(X1,X2,tc_set(X3)),X3) = c_union(X1,c_Union(X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__insert_0) ).

cnf(cls_Finite__Set_Ofinite__Pow__iff_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/MSC001-1.ax',cls_Finite__Set_Ofinite__Pow__iff_0) ).

cnf(cls_Parity_Opower__eq__0__iff__number__of_1,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__eq__0__iff__number__of_1) ).

cnf(cls_List_Osublist__singleton_1,axiom,
    ( c_in(c_0,X1,tc_nat)
    | c_List_Osublist(c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X1,X3) = c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Osublist__singleton_1) ).

cnf(cls_IntDiv_Ozmod__zadd__self1_0,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__zadd__self1_0) ).

cnf(cls_IntDiv_Ozmod__zadd__self2_0,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__zadd__self2_0) ).

cnf(cls_Divides_Omod__add__self1_0,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_nat),X1,tc_nat) = c_Divides_Oop_Amod(X2,X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__add__self1_0) ).

cnf(cls_Divides_Omod__add__self2_0,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_nat),X2,tc_nat) = c_Divides_Oop_Amod(X1,X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__add__self2_0) ).

cnf(cls_IntDiv_Omod__mod__trivial_0,axiom,
    c_Divides_Oop_Amod(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Omod__mod__trivial_0) ).

cnf(cls_Divides_Onat__mod__mod__trivial_0,axiom,
    c_Divides_Oop_Amod(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat) = c_Divides_Oop_Amod(X1,X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Onat__mod__mod__trivial_0) ).

cnf(cls_Parity_Oeven__product_0,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__product_0) ).

cnf(cls_Parity_Oeven__nat__product_0,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__product_0) ).

cnf(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_OInf__le__Sup_0,axiom,
    ( c_lessequals(c_Finite__Set_OMin(X2,X1),c_Finite__Set_OMax(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_OInf__le__Sup_0) ).

cnf(cls_NatBin_Oadd__nat__number__of_2,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X1),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oadd__nat__number__of_2) ).

cnf(cls_NatBin_Oone__power2_0,axiom,
    ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oone__power2_0) ).

cnf(cls_NatBin_Ozero__power2_0,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_0
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Ozero__power2_0) ).

cnf(cls_Ring__and__Field_Odivide__minus__left_0,axiom,
    ( c_divide(c_uminus(X2,X1),X3,X1) = c_uminus(c_divide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__minus__left_0) ).

cnf(cls_Ring__and__Field_Omult__minus__left_0,axiom,
    ( c_times(c_uminus(X2,X1),X3,X1) = c_uminus(c_times(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__minus__left_0) ).

cnf(cls_Ring__and__Field_Omult__minus__right_0,axiom,
    ( c_times(X2,c_uminus(X3,X1),X1) = c_uminus(c_times(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__minus__right_0) ).

cnf(cls_Parity_Opower__eq__0__iff__number__of_2,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__eq__0__iff__number__of_2) ).

cnf(cls_SetInterval_OgreaterThan__subset__iff_1,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/MSC001-1.ax',cls_SetInterval_OgreaterThan__subset__iff_1) ).

cnf(cls_SetInterval_OatLeast__subset__iff_1,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/MSC001-1.ax',cls_SetInterval_OatLeast__subset__iff_1) ).

cnf(cls_SetInterval_OlessThan__subset__iff_1,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/MSC001-1.ax',cls_SetInterval_OlessThan__subset__iff_1) ).

cnf(cls_SetInterval_OatMost__subset__iff_1,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/MSC001-1.ax',cls_SetInterval_OatMost__subset__iff_1) ).

cnf(cls_List_Onth__Cons__number__of_0,axiom,
    ( c_List_Onth(c_List_Olist_OCons(X2,X3,X4),c_Numeral_Onumber__of(X1,tc_nat),X4) = X2
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__Cons__number__of_0) ).

cnf(cls_Message_Oparts__cut__eq_0,axiom,
    ( c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__cut__eq_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__converse_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/MSC001-1.ax',cls_Wellfounded__Recursion_Oacyclic__converse_0) ).

cnf(cls_List_Odistinct__append_0,axiom,
    ( c_List_Odistinct(X1,X3)
    | ~ c_List_Odistinct(c_append(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__append_0) ).

cnf(cls_List_Odistinct__rotate_0,axiom,
    ( c_List_Odistinct(X2,X3)
    | ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__rotate_0) ).

cnf(cls_List_Odistinct__append_1,axiom,
    ( c_List_Odistinct(X2,X3)
    | ~ c_List_Odistinct(c_append(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__append_1) ).

cnf(cls_List_Odistinct_Osimps__2_1,axiom,
    ( c_List_Odistinct(X2,X3)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct_Osimps__2_1) ).

cnf(cls_NatBin_Oadd__nat__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oadd__nat__number__of_1) ).

cnf(cls_NatBin_Omod__nat__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Omod__nat__number__of_1) ).

cnf(cls_Event_OkeysFor__synth_H_1,axiom,
    ( c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | X1 = c_Message_OinvKey(v_sko__uhi(X2,X1))
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_OkeysFor__synth_H_1) ).

cnf(cls_IntDiv_Ozero__less__zpower__abs__iff_1,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | X1 = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozero__less__zpower__abs__iff_1) ).

cnf(cls_List_Otl__append2_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Otl(c_append(X1,X2,X3),X3) = c_append(c_List_Otl(X1,X3),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otl__append2_0) ).

cnf(cls_List_Obutlast_Osimps__2_1,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Obutlast(c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_OCons(X2,c_List_Obutlast(X1,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Obutlast_Osimps__2_1) ).

cnf(cls_IntDiv_Ozero__le__zpower__abs_0,axiom,
    c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozero__le__zpower__abs_0) ).

cnf(cls_List_Oset_Osimps__2_0,axiom,
    c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_insert(X1,c_List_Oset(X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset_Osimps__2_0) ).

cnf(cls_OrderedGroup_Oneg__less__iff__less_1,axiom,
    ( c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__less__iff__less_1) ).

cnf(cls_OrderedGroup_Opprt__mono_0,axiom,
    ( c_lessequals(c_OrderedGroup_Opprt(X2,X1),c_OrderedGroup_Opprt(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Opprt__mono_0) ).

cnf(cls_OrderedGroup_Onprt__mono_0,axiom,
    ( c_lessequals(c_OrderedGroup_Onprt(X2,X1),c_OrderedGroup_Onprt(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__mono_0) ).

cnf(cls_OrderedGroup_Oneg__le__iff__le_1,axiom,
    ( c_lessequals(c_uminus(X3,X1),c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__le__iff__le_1) ).

cnf(cls_Numeral_Obin__rel__simps__12_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__12_0) ).

cnf(cls_List_Orotate__id_0,axiom,
    ( c_List_Orotate(X1,X2,X3) = X2
    | c_Divides_Oop_Amod(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orotate__id_0) ).

cnf(cls_List_Odrop__eq__Nil_1,axiom,
    ( c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__eq__Nil_1) ).

cnf(cls_IntDiv_Ozero__less__zpower__abs__iff_2,axiom,
    c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).

cnf(cls_IntDef_Oof__int__less__iff_1,axiom,
    ( c_less(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(X2,X3,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__less__iff_1) ).

cnf(cls_NatArith_Oof__nat__less__iff_1,axiom,
    ( c_less(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(X2,X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__less__iff_1) ).

cnf(cls_IntDef_Oof__int__le__iff_1,axiom,
    ( c_lessequals(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,X3,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__le__iff_1) ).

cnf(cls_NatArith_Oof__nat__le__iff_1,axiom,
    ( c_lessequals(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__le__iff_1) ).

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_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/MSC001-1.ax',cls_Set_OPow__iff_0) ).

cnf(cls_List_Orotate__length01_0,axiom,
    ( c_List_Orotate(X3,X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orotate__length01_0) ).

cnf(cls_List_Odrop__upt_0,axiom,
    c_List_Odrop(X1,c_List_Oupt(X2,X3),tc_nat) = c_List_Oupt(c_plus(X2,X1,tc_nat),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__upt_0) ).

cnf(cls_Parity_Oeven__power_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__power_0) ).

cnf(cls_Parity_Oeven__nat__power_0,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__power_0) ).

cnf(cls_NatBin_Oeq__nat__number__of_8,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_8) ).

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_OMPair__analz_1,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__analz_1) ).

cnf(cls_Public_OMPair__used_1,axiom,
    ( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OMPair__used_1) ).

cnf(cls_Message_OMPair__parts_1,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/Axioms/SWV005-0.ax',cls_Message_OMPair__parts_1) ).

cnf(cls_Message_OMPair__analz_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__analz_0) ).

cnf(cls_Public_OMPair__used_0,axiom,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OMPair__used_0) ).

cnf(cls_Message_Oparts_OBody__dest_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/Axioms/SWV005-4.ax',cls_Message_Oparts_OBody__dest_0) ).

cnf(cls_Message_OMPair__parts_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/Axioms/SWV005-0.ax',cls_Message_OMPair__parts_0) ).

cnf(cls_Ring__and__Field_Oinverse__positive__iff__positive_0,axiom,
    ( c_less(c_0,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_HOL_Oinverse(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__positive__iff__positive_0) ).

cnf(cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_0,axiom,
    ( c_lessequals(c_0,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_HOL_Oinverse(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_0) ).

cnf(cls_Ring__and__Field_Oinverse__negative__iff__negative_0,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_HOL_Oinverse(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__negative__iff__negative_0) ).

cnf(cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_0,axiom,
    ( c_lessequals(X2,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_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_1,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/MSC001-1.ax',cls_Finite__Set_Ofinite__Pow__iff_1) ).

cnf(cls_List_Onull_Osimps__2_0,axiom,
    ~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onull_Osimps__2_0) ).

cnf(cls_Numeral_Obin__rel__simps__4_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__4_0) ).

cnf(cls_Ring__and__Field_Oinverse__divide_0,axiom,
    ( c_HOL_Oinverse(c_divide(X2,X3,X1),X1) = c_divide(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__divide_0) ).

cnf(cls_Ring__and__Field_Odivide__cancel__right_0,axiom,
    ( X2 = X4
    | X3 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(X2,X3,X1) != c_divide(X4,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__cancel__right_0) ).

cnf(cls_Ring__and__Field_Odivide__cancel__left_0,axiom,
    ( X3 = X4
    | X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(X2,X3,X1) != c_divide(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__cancel__left_0) ).

cnf(cls_SetInterval_OlessThan__iff_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/MSC001-1.ax',cls_SetInterval_OlessThan__iff_0) ).

cnf(cls_SetInterval_OgreaterThan__iff_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/MSC001-1.ax',cls_SetInterval_OgreaterThan__iff_0) ).

cnf(cls_SetInterval_OatMost__iff_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/MSC001-1.ax',cls_SetInterval_OatMost__iff_0) ).

cnf(cls_SetInterval_OatLeast__iff_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/MSC001-1.ax',cls_SetInterval_OatLeast__iff_0) ).

cnf(cls_IntArith_Oabs__power__minus__one_0,axiom,
    ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oabs__power__minus__one_0) ).

cnf(cls_IntArith_Oint__eq__iff__number__of_2,axiom,
    ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oint__eq__iff__number__of_2) ).

cnf(cls_Message_Oanalz__insert__Number_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__insert__Number_0) ).

cnf(cls_Message_Oanalz__insert__Nonce_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__insert__Nonce_0) ).

cnf(cls_Message_Oanalz__insert__Hash_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__insert__Hash_0) ).

cnf(cls_Message_Oanalz__insert__Agent_0,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__insert__Agent_0) ).

cnf(cls_Message_Oparts__insert__Number_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__insert__Number_0) ).

cnf(cls_Message_Oparts__insert__Nonce_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__insert__Nonce_0) ).

cnf(cls_Message_Oparts__insert__Key_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__insert__Key_0) ).

cnf(cls_Message_Oparts__insert__Hash_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__insert__Hash_0) ).

cnf(cls_Message_Oparts__insert__Agent_0,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__insert__Agent_0) ).

cnf(cls_OrderedGroup_Oneg__less__0__iff__less_0,axiom,
    ( c_less(c_0,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__less__0__iff__less_0) ).

cnf(cls_OrderedGroup_Oneg__le__0__iff__le_0,axiom,
    ( c_lessequals(c_0,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__le__0__iff__le_0) ).

cnf(cls_OrderedGroup_Oneg__0__less__iff__less_0,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_0,c_uminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__less__iff__less_0) ).

cnf(cls_OrderedGroup_Oneg__0__le__iff__le_0,axiom,
    ( c_lessequals(X2,c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_0,c_uminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__le__iff__le_0) ).

cnf(cls_IntDef_Oof__int__0__less__iff_0,axiom,
    ( c_less(c_0,X2,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_IntDef_Oof__int(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__0__less__iff_0) ).

cnf(cls_NatArith_Oof__nat__0__less__iff_0,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_0,c_NatArith_Oof__nat(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__0__less__iff_0) ).

cnf(cls_IntDef_Oof__int__0__le__iff_0,axiom,
    ( c_lessequals(c_0,X2,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_0,c_IntDef_Oof__int(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__0__le__iff_0) ).

cnf(cls_IntDef_Oof__int__less__0__iff_0,axiom,
    ( c_less(X2,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_IntDef_Oof__int(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__less__0__iff_0) ).

cnf(cls_IntDef_Oof__int__le__0__iff_0,axiom,
    ( c_lessequals(X2,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_IntDef_Oof__int(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__le__0__iff_0) ).

cnf(cls_Finite__Set_OMin__in_0,axiom,
    ( c_in(c_Finite__Set_OMin(X2,X1),X2,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__in_0) ).

cnf(cls_Finite__Set_OMax__in_0,axiom,
    ( c_in(c_Finite__Set_OMax(X2,X1),X2,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__in_0) ).

cnf(cls_Set_OPow__iff_1,axiom,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OPow__iff_1) ).

cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,
    ( c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__diff__eq_0) ).

cnf(cls_Ring__and__Field_Ofield__mult__cancel__right_0,axiom,
    ( X2 = X4
    | X3 = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_times(X2,X3,X1) != c_times(X4,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ofield__mult__cancel__right_0) ).

cnf(cls_Ring__and__Field_Ofield__mult__cancel__left_0,axiom,
    ( X3 = X4
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_times(X2,X3,X1) != c_times(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ofield__mult__cancel__left_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_Public_OprivateKey__into__used_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oused(X3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OprivateKey__into__used_0) ).

cnf(cls_OrderedGroup_Oadd__right__cancel_0,axiom,
    ( X2 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_plus(X2,X3,X1) != c_plus(X4,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__right__cancel_0) ).

cnf(cls_OrderedGroup_Oadd__left__cancel_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_plus(X2,X3,X1) != c_plus(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__left__cancel_0) ).

cnf(cls_Event_Oknows__Spy__Gets_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oknows__Spy__Gets_0) ).

cnf(cls_List_Oconcat__eq__Nil__conv_0,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3))
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oconcat__eq__Nil__conv_0) ).

cnf(cls_List_ONil__eq__concat__conv_0,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3))
    | c_List_Olist_ONil != c_List_Oconcat(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_ONil__eq__concat__conv_0) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if2_1,axiom,
    ( X2 = c_0
    | c_divide(c_times(X2,X3,X1),X2,X1) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__left__if2_1) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if2_1,axiom,
    ( X2 = c_0
    | c_divide(c_times(X3,X2,X1),X2,X1) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__right__if2_1) ).

cnf(cls_Ring__and__Field_Otimes__divide__self__left_1,axiom,
    ( X2 = c_0
    | c_times(c_divide(X3,X2,X1),X2,X1) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Otimes__divide__self__left_1) ).

cnf(cls_Ring__and__Field_Otimes__divide__self__right_1,axiom,
    ( X2 = c_0
    | c_times(X2,c_divide(X3,X2,X1),X1) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Otimes__divide__self__right_1) ).

cnf(cls_List_Odrop__eq__Nil_0,axiom,
    ( c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat)
    | c_List_Odrop(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__eq__Nil_0) ).

cnf(cls_Ring__and__Field_Oinverse__negative__iff__negative_1,axiom,
    ( c_less(c_HOL_Oinverse(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__negative__iff__negative_1) ).

cnf(cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_1,axiom,
    ( c_lessequals(c_HOL_Oinverse(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_1) ).

cnf(cls_Ring__and__Field_Oinverse__positive__iff__positive_1,axiom,
    ( c_less(c_0,c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__positive__iff__positive_1) ).

cnf(cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_1,axiom,
    ( c_lessequals(c_0,c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_1) ).

cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OSpy__spies__bad__shrK_0) ).

cnf(cls_List_Oset__replicate_0,axiom,
    ( X1 = c_0
    | c_List_Oset(c_List_Oreplicate(X1,X2,X3),X3) = c_insert(X2,c_emptyset,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__replicate_0) ).

cnf(cls_List_Orev__replicate_0,axiom,
    c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev__replicate_0) ).

cnf(cls_Ring__and__Field_Ominus__divide__divide_0,axiom,
    ( c_divide(c_uminus(X2,X1),c_uminus(X3,X1),X1) = c_divide(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ominus__divide__divide_0) ).

cnf(cls_SetInterval_OlessThan__iff_1,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/MSC001-1.ax',cls_SetInterval_OlessThan__iff_1) ).

cnf(cls_SetInterval_OatMost__iff_1,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/MSC001-1.ax',cls_SetInterval_OatMost__iff_1) ).

cnf(cls_SetInterval_OgreaterThan__iff_1,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/MSC001-1.ax',cls_SetInterval_OgreaterThan__iff_1) ).

cnf(cls_SetInterval_OatLeast__iff_1,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/MSC001-1.ax',cls_SetInterval_OatLeast__iff_1) ).

cnf(cls_Message_Oanalz__subset__iff_0,axiom,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__subset__iff_0) ).

cnf(cls_Message_Osynth__subset__iff_0,axiom,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Osynth__subset__iff_0) ).

cnf(cls_Message_Oparts__subset__iff_0,axiom,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__subset__iff_0) ).

cnf(cls_List_Olast__upt_0,axiom,
    ( c_List_Olast(c_List_Oupt(X1,X2),tc_nat) = c_minus(X2,c_1,tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast__upt_0) ).

cnf(cls_NatBin_Oeq__nat__number__of_4,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_4) ).

cnf(cls_Event_Oevent_Oinject__1_0,axiom,
    ( X1 = X4
    | c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Oinject__1_0) ).

cnf(cls_List_Oappend__same__eq_0,axiom,
    ( X1 = X4
    | c_append(X1,X2,X3) != c_append(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__same__eq_0) ).

cnf(cls_Datatype__Universe_OAtom__Atom__eq_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OAtom__Atom__eq_0) ).

cnf(cls_Sum__Type_OInr__eq_0,axiom,
    ( X1 = X4
    | c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInr(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Sum__Type_OInr__eq_0) ).

cnf(cls_Sum__Type_OInl__eq_0,axiom,
    ( X1 = X4
    | c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInl(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Sum__Type_OInl__eq_0) ).

cnf(cls_List_Olist_Oinject_0,axiom,
    ( X1 = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist_Oinject_0) ).

cnf(cls_Datatype__Universe_OIn1__eq_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OIn1__eq_0) ).

cnf(cls_Datatype__Universe_OIn0__eq_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OIn0__eq_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_0,axiom,
    ( X2 = X4
    | c_append(X1,X2,X3) != c_append(X1,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Osame__append__eq_0) ).

cnf(cls_Event_Oevent_Oinject__1_1,axiom,
    ( X2 = X5
    | c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Oinject__1_1) ).

cnf(cls_List_Olist_Oinject_1,axiom,
    ( X2 = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist_Oinject_1) ).

cnf(cls_Event_Oevent_Oinject__1_2,axiom,
    ( X3 = X6
    | c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Oinject__1_2) ).

cnf(cls_IntDiv_Ozminus__dvd__iff_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/MSC001-1.ax',cls_IntDiv_Ozminus__dvd__iff_0) ).

cnf(cls_IntDiv_Odvd__zminus__iff_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/MSC001-1.ax',cls_IntDiv_Odvd__zminus__iff_0) ).

cnf(cls_NatBin_Omult__nat__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Omult__nat__number__of_1) ).

cnf(cls_Message_OkeysFor__Un_0,axiom,
    c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__Un_0) ).

cnf(cls_Message_Oparts__Un_0,axiom,
    c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oparts__Un_0) ).

cnf(cls_NatBin_Oint_A_Im2_A_L_An2_J_A_61_61_Aint_Am2_A_L_Aint_An2_0,axiom,
    c_IntDef_Oint(c_plus(X1,X2,tc_nat)) = c_plus(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oint_A_Im2_A_L_An2_J_A_61_61_Aint_Am2_A_L_Aint_An2_0) ).

cnf(cls_Public_Onot__symKeys__priK_0,axiom,
    ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Onot__symKeys__priK_0) ).

cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__analzD__dest_0) ).

cnf(cls_Message_Osynth__synthD__dest_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Osynth__synthD__dest_0) ).

cnf(cls_Message_Oparts__partsD__dest_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__partsD__dest_0) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if2_0,axiom,
    ( c_divide(c_times(c_0,X2,X1),c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__left__if2_0) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if2_0,axiom,
    ( c_divide(c_times(X2,c_0,X1),c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__right__if2_0) ).

cnf(cls_Ring__and__Field_Otimes__divide__self__left_0,axiom,
    ( c_times(c_divide(X2,c_0,X1),c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Otimes__divide__self__left_0) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__left__if1_0,axiom,
    ( c_divide(c_0,c_times(c_0,X2,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__left__if1_0) ).

cnf(cls_Ring__and__Field_Omult__divide__cancel__right__if1_0,axiom,
    ( c_divide(c_0,c_times(X2,c_0,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__divide__cancel__right__if1_0) ).

cnf(cls_Ring__and__Field_Otimes__divide__self__right_0,axiom,
    ( c_times(c_0,c_divide(X2,c_0,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Otimes__divide__self__right_0) ).

cnf(cls_Sum__Type_OInr__not__Inl_0,axiom,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Sum__Type_OInr__not__Inl_0) ).

cnf(cls_Sum__Type_OInl__not__Inr_0,axiom,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Sum__Type_OInl__not__Inr_0) ).

cnf(cls_Datatype__Universe_OIn1__not__In0_0,axiom,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OIn1__not__In0_0) ).

cnf(cls_Datatype__Universe_OIn0__not__In1_0,axiom,
    c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OIn0__not__In1_0) ).

cnf(cls_Datatype__Universe_ONumb__not__Leaf_0,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_ONumb__not__Leaf_0) ).

cnf(cls_Datatype__Universe_OLeaf__not__Numb_0,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype__Universe_OLeaf__not__Numb_0) ).

cnf(cls_Event_OkeysFor__synth_H_3,axiom,
    ( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_OkeysFor__synth_H_3) ).

cnf(cls_Set_Osingleton__insert__inj__eq_0,axiom,
    ( X3 = X1
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Osingleton__insert__inj__eq_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H_0,axiom,
    ( X1 = X4
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Osingleton__insert__inj__eq_H_0) ).

cnf(cls_Message_Oanalz__subset__iff_1,axiom,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__subset__iff_1) ).

cnf(cls_Message_Osynth__subset__iff_1,axiom,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Osynth__subset__iff_1) ).

cnf(cls_Message_Oparts__subset__iff_1,axiom,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__subset__iff_1) ).

cnf(cls_List_Orev__singleton__conv_1,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev__singleton__conv_1) ).

cnf(cls_List_Osingleton__rev__conv_1,axiom,
    c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Osingleton__rev__conv_1) ).

cnf(cls_OrderedGroup_Oneg__less__0__iff__less_1,axiom,
    ( c_less(c_uminus(X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__less__0__iff__less_1) ).

cnf(cls_OrderedGroup_Oneg__le__0__iff__le_1,axiom,
    ( c_lessequals(c_uminus(X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__le__0__iff__le_1) ).

cnf(cls_IntDef_OInts__minus_0,axiom,
    ( c_in(c_uminus(X2,X1),c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_in(X2,c_IntDef_OInts,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_OInts__minus_0) ).

cnf(cls_OrderedGroup_Oneg__0__less__iff__less_1,axiom,
    ( c_less(c_0,c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__less__iff__less_1) ).

cnf(cls_OrderedGroup_Oneg__0__le__iff__le_1,axiom,
    ( c_lessequals(c_0,c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__le__iff__le_1) ).

cnf(cls_Nat_Omult__cancel2_0,axiom,
    ( X1 = X3
    | X2 = c_0
    | c_times(X1,X2,tc_nat) != c_times(X3,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__cancel2_0) ).

cnf(cls_Nat_Omult__cancel1_0,axiom,
    ( X2 = X3
    | X1 = c_0
    | c_times(X1,X2,tc_nat) != c_times(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__cancel1_0) ).

cnf(cls_Numeral_Obin__rel__simps__12_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__12_1) ).

cnf(cls_Parity_Opower__minus__even_0,axiom,
    ( c_Nat_Opower(c_uminus(X3,X1),X2,X1) = c_Nat_Opower(X3,X2,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__minus__even_0) ).

cnf(cls_SetInterval_Ocard__greaterThanAtMost_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),tc_nat) = c_minus(X2,X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__greaterThanAtMost_0) ).

cnf(cls_SetInterval_Ocard__atLeastLessThan_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),tc_nat) = c_minus(X2,X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atLeastLessThan_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_Nat_Onat__add__right__cancel_0,axiom,
    ( X1 = X3
    | c_plus(X1,X2,tc_nat) != c_plus(X3,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__add__right__cancel_0) ).

cnf(cls_Nat_Onat__add__left__cancel_0,axiom,
    ( X2 = X3
    | c_plus(X1,X2,tc_nat) != c_plus(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onat__add__left__cancel_0) ).

cnf(cls_Ring__and__Field_Ominus__mult__minus_0,axiom,
    ( c_times(c_uminus(X2,X1),c_uminus(X3,X1),X1) = c_times(X2,X3,X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ominus__mult__minus_0) ).

cnf(cls_IntDef_Oof__int__less__0__iff_1,axiom,
    ( c_less(c_IntDef_Oof__int(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(X2,c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__less__0__iff_1) ).

cnf(cls_IntDef_Oof__int__le__0__iff_1,axiom,
    ( c_lessequals(c_IntDef_Oof__int(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__le__0__iff_1) ).

cnf(cls_IntDef_Oof__int__0__less__iff_1,axiom,
    ( c_less(c_0,c_IntDef_Oof__int(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__0__less__iff_1) ).

cnf(cls_NatArith_Oof__nat__0__less__iff_1,axiom,
    ( c_less(c_0,c_NatArith_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_0,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__0__less__iff_1) ).

cnf(cls_IntDef_Oof__int__0__le__iff_1,axiom,
    ( c_lessequals(c_0,c_IntDef_Oof__int(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_0,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__0__le__iff_1) ).

cnf(cls_NatBin_Oadd__nat__number__of_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oadd__nat__number__of_0) ).

cnf(cls_NatBin_Oeq__nat__number__of_1,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_1) ).

cnf(cls_NatBin_Oeq__nat__number__of_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_0) ).

cnf(cls_IntDef_OInteg_OAbs__Integ__inverse_0,axiom,
    ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X1)) = X1
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_OInteg_OAbs__Integ__inverse_0) ).

cnf(cls_IntArith_Oarith__special__3_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__3_0) ).

cnf(cls_IntArith_Oarith__special__2_0,axiom,
    ( c_plus(c_1,c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X2),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__2_0) ).

cnf(cls_Event_OkeysFor__synth_H_2,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_OkeysFor__synth_H_2) ).

cnf(cls_Numeral_Obin__rel__simps__4_1,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__4_1) ).

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_Event_Oused__Gets_0,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oused__Gets_0) ).

cnf(cls_Message_OkeysFor__insert__MPair_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__insert__MPair_0) ).

cnf(cls_Public_Oanalz__spies__pubK_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Oanalz__spies__pubK_0) ).

cnf(cls_Message_ONonce__synth__eq_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_ONonce__synth__eq_0) ).

cnf(cls_Message_OKey__synth__eq_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OKey__synth__eq_0) ).

cnf(cls_Relation_Oconverse__converse_0,axiom,
    c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_Oconverse__converse_0) ).

cnf(cls_List_Oremove1_Osimps__2_0,axiom,
    c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremove1_Osimps__2_0) ).

cnf(cls_List_Oop_Amem_Osimps__2_1,axiom,
    c_List_Oop_Amem(X1,c_List_Olist_OCons(X1,X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oop_Amem_Osimps__2_1) ).

cnf(cls_Set_Oinsert__iff_1,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__iff_1) ).

cnf(cls_List_Onth__Cons__0_0,axiom,
    c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_0,X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onth__Cons__0_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_IntDiv_Ozminus__dvd__iff_1,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/MSC001-1.ax',cls_IntDiv_Ozminus__dvd__iff_1) ).

cnf(cls_IntDiv_Odvd__zminus__iff_1,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/MSC001-1.ax',cls_IntDiv_Odvd__zminus__iff_1) ).

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_List_Osingleton__rev__conv_0,axiom,
    ( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
    | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Osingleton__rev__conv_0) ).

cnf(cls_List_Orev__singleton__conv_0,axiom,
    ( X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil,X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev__singleton__conv_0) ).

cnf(cls_IntDiv_Ozdiv__zmult__self2_0,axiom,
    ( X1 = c_0
    | c_div(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__zmult__self2_0) ).

cnf(cls_IntDiv_Ozdiv__zmult__self1_0,axiom,
    ( X1 = c_0
    | c_div(c_times(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__zmult__self1_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_Message_ONonce__synth__eq_1,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_ONonce__synth__eq_1) ).

cnf(cls_Message_OKey__synth__eq_1,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OKey__synth__eq_1) ).

cnf(cls_Message_Osynth_OHash_0,axiom,
    ( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Osynth_OHash_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_Parity_Oeven__difference_2,axiom,
    ( c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__difference_2) ).

cnf(cls_Parity_Oeven__sum_2,axiom,
    ( c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__sum_2) ).

cnf(cls_Parity_Oeven__nat__sum_2,axiom,
    ( c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__sum_2) ).

cnf(cls_Power_Onat__zero__less__power__iff_1,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | X1 = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Onat__zero__less__power__iff_1) ).

cnf(cls_Nat_Odiff__le__self_0,axiom,
    c_lessequals(c_minus(X1,X2,tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__le__self_0) ).

cnf(cls_Divides_Odiv__le__dividend_0,axiom,
    c_lessequals(c_div(X1,X2,tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__le__dividend_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_IntDiv_Omod__div__trivial_0,axiom,
    c_div(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Omod__div__trivial_0) ).

cnf(cls_Divides_Onat__mod__div__trivial_0,axiom,
    c_div(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Onat__mod__div__trivial_0) ).

cnf(cls_IntDiv_Ozmod__zmult__self2_0,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__zmult__self2_0) ).

cnf(cls_IntDiv_Ozmod__zmult__self1_0,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__zmult__self1_0) ).

cnf(cls_Divides_Omod__mult__self1__is__0_0,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_nat),X1,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__mult__self1__is__0_0) ).

cnf(cls_Divides_Omod__mult__self__is__0_0,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_nat),X2,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__mult__self__is__0_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_Set_ODiff__eq__empty__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_minus(X1,X2,tc_set(X3)) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__eq__empty__iff_0) ).

cnf(cls_Set_ODiff__eq__empty__iff_1,axiom,
    ( c_minus(X1,X2,tc_set(X3)) = c_emptyset
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__eq__empty__iff_1) ).

cnf(cls_List_Orotate1__length01_0,axiom,
    ( c_List_Orotate1(X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orotate1__length01_0) ).

cnf(cls_IntDef_Ozless__nat__conj_1,axiom,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozless__nat__conj_1) ).

cnf(cls_IntDef_Ozless__int_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozless__int_0) ).

cnf(cls_IntDef_Ozle__int_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozle__int_0) ).

cnf(cls_NatBin_Odiv__nat__number__of_0,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Odiv__nat__number__of_0) ).

cnf(cls_NatBin_Omod__nat__number__of_0,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Omod__nat__number__of_0) ).

cnf(cls_NatBin_Omult__nat__number__of_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Omult__nat__number__of_0) ).

cnf(cls_IntDef_Ozless__nat__conj_0,axiom,
    ( c_less(c_0,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozless__nat__conj_0) ).

cnf(cls_Numeral_Obin__arith__extra__simps__1_0,axiom,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X3),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__arith__extra__simps__1_0) ).

cnf(cls_Numeral_Obin__arith__extra__simps__4_0,axiom,
    ( c_times(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X2,X3),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__arith__extra__simps__4_0) ).

cnf(cls_Message_Oanalz__conj__parts_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__conj__parts_0) ).

cnf(cls_Power_Opower__eq__0__iff_1,axiom,
    ( c_less(c_0,X3,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Nat_Opower(X2,X3,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__eq__0__iff_1) ).

cnf(cls_Power_Onat__zero__less__power__iff_2,axiom,
    c_less(c_0,c_Nat_Opower(X1,c_0,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Onat__zero__less__power__iff_2) ).

cnf(cls_IntDiv_Ozdiv__zminus__zminus_0,axiom,
    c_div(c_uminus(X1,tc_IntDef_Oint),c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(X1,X2,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__zminus__zminus_0) ).

cnf(cls_Numeral_Obin__rel__simps__5_0,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB1),X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__5_0) ).

cnf(cls_IntDef_Ozless__int_1,axiom,
    ( c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozless__int_1) ).

cnf(cls_IntDef_Ozle__int_1,axiom,
    ( c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozle__int_1) ).

cnf(cls_Power_Opower__eq__0__iff_2,axiom,
    ( c_Nat_Opower(c_0,X2,X1) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__eq__0__iff_2) ).

cnf(cls_IntDef_Onot__int__zless__negative_0,axiom,
    ~ c_less(c_IntDef_Oint(X1),c_uminus(c_IntDef_Oint(X2),tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onot__int__zless__negative_0) ).

cnf(cls_SetInterval_OgreaterThanAtMost__empty_0,axiom,
    ( c_SetInterval_OgreaterThanAtMost(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OgreaterThanAtMost__empty_0) ).

cnf(cls_SetInterval_OatLeastLessThan__empty_0,axiom,
    ( c_SetInterval_OatLeastLessThan(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastLessThan__empty_0) ).

cnf(cls_SetInterval_OatLeastAtMost__empty_0,axiom,
    ( c_SetInterval_OatLeastAtMost(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastAtMost__empty_0) ).

cnf(cls_Set_OCompl__iff_1,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__iff_1) ).

cnf(cls_Numeral_Obin__arith__extra__simps__6_1,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | c_HOL_Oabs(c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__arith__extra__simps__6_1) ).

cnf(cls_List_Olength__rotate_0,axiom,
    c_Nat_Osize(c_List_Orotate(X1,X2,X3),tc_List_Olist(X3)) = c_Nat_Osize(X2,tc_List_Olist(X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__rotate_0) ).

cnf(cls_Datatype_Osum_Osize__2_0,axiom,
    c_Nat_Osize(c_Sum__Type_OInr(X1,X2,X3),tc_sum(X3,X2)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Osum_Osize__2_0) ).

cnf(cls_Datatype_Osum_Osize__1_0,axiom,
    c_Nat_Osize(c_Sum__Type_OInl(X1,X2,X3),tc_sum(X2,X3)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Osum_Osize__1_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__converse_1,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Wellfounded__Recursion_Oacyclic__converse_1) ).

cnf(cls_List_Odistinct__sublistI_0,axiom,
    ( c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__sublistI_0) ).

cnf(cls_List_Odistinct__rotate_1,axiom,
    ( c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__rotate_1) ).

cnf(cls_List_Odistinct__remove1_0,axiom,
    ( c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__remove1_0) ).

cnf(cls_List_Odistinct__drop_0,axiom,
    ( c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__drop_0) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz_OInj_0) ).

cnf(cls_Message_Osynth_OInj_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Osynth_OInj_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/Axioms/SWV005-0.ax',cls_Message_Oparts_OInj_0) ).

cnf(cls_IntDef_Ozero__less__nat__eq_0,axiom,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_0,c_IntDef_Onat(X1),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozero__less__nat__eq_0) ).

cnf(cls_IntDef_Ozero__less__int__conv_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozero__less__int__conv_0) ).

cnf(cls_Public_OsymKeys__invKey__iff_0,axiom,
    ( c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OsymKeys__invKey__iff_0) ).

cnf(cls_Parity_Oeven__difference_3,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__difference_3) ).

cnf(cls_Parity_Oeven__sum_3,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__sum_3) ).

cnf(cls_Parity_Oeven__nat__sum_3,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(X2,tc_nat)
    | c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__sum_3) ).

cnf(cls_Datatype_Oelem__o2s_0,axiom,
    ( X2 = c_Datatype_Ooption_OSome(X1,X3)
    | ~ c_in(X1,c_Datatype_Oo2s(X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Oelem__o2s_0) ).

cnf(cls_OrderedGroup_Odiff__minus__eq__add_0,axiom,
    ( c_minus(X2,c_uminus(X3,X1),X1) = c_plus(X2,X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__minus__eq__add_0) ).

cnf(cls_List_Oconcat__eq__Nil__conv_1,axiom,
    ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
    | c_List_Oconcat(X1,X2) = c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oconcat__eq__Nil__conv_1) ).

cnf(cls_List_ONil__eq__concat__conv_1,axiom,
    ( c_in(c_Main_ONil__eq__concat__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
    | c_List_Olist_ONil = c_List_Oconcat(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_ONil__eq__concat__conv_1) ).

cnf(cls_Public_OsymKeys__invKey__iff_1,axiom,
    ( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OsymKeys__invKey__iff_1) ).

cnf(cls_IntDef_Ozero__less__nat__eq_1,axiom,
    ( c_less(c_0,c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozero__less__nat__eq_1) ).

cnf(cls_IntDef_Ozero__less__int__conv_1,axiom,
    ( c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozero__less__int__conv_1) ).

cnf(cls_Parity_Opower__eq__0__iff__number__of_0,axiom,
    ( X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__eq__0__iff__number__of_0) ).

cnf(cls_Divides_Omod__less_0,axiom,
    ( c_Divides_Oop_Amod(X1,X2,tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__less_0) ).

cnf(cls_NatBin_Oeq__nat__number__of_6,axiom,
    ( c_Numeral_Onumber__of(X2,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_6) ).

cnf(cls_NatBin_Oeq__nat__number__of_10,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__nat__number__of_10) ).

cnf(cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_1,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_1) ).

cnf(cls_Nat_Odiff__is__0__eq_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_minus(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__is__0__eq_0) ).

cnf(cls_Nat_Odiff__is__0__eq_H_0,axiom,
    ( c_minus(X1,X2,tc_nat) = c_0
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__is__0__eq_H_0) ).

cnf(cls_Divides_Odiv__less_0,axiom,
    ( c_div(X1,X2,tc_nat) = c_0
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__less_0) ).

cnf(cls_Parity_Oeven__product_1,axiom,
    ( c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__product_1) ).

cnf(cls_Parity_Oeven__nat__product_1,axiom,
    ( c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__product_1) ).

cnf(cls_Parity_Oeven__product_2,axiom,
    ( c_Parity_Oeven(c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__product_2) ).

cnf(cls_Parity_Oeven__nat__product_2,axiom,
    ( c_Parity_Oeven(c_times(X2,X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__product_2) ).

cnf(cls_List_Olength__greater__0__conv_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/MSC001-1.ax',cls_List_Olength__greater__0__conv_0) ).

cnf(cls_List_Ohd__append2_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Ohd(c_append(X1,X2,X3),X3) = c_List_Ohd(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ohd__append2_0) ).

cnf(cls_List_Olast__appendR_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olast(c_append(X2,X1,X3),X3) = c_List_Olast(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast__appendR_0) ).

cnf(cls_List_Olast_Osimps_1,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olast(c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olast(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast_Osimps_1) ).

cnf(cls_OrderedGroup_Omeet__0__eq__0_0,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_LOrder_Omeet(X2,c_uminus(X2,X1),X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Omeet__0__eq__0_0) ).

cnf(cls_OrderedGroup_Ojoin__0__eq__0_0,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_LOrder_Ojoin(X2,c_uminus(X2,X1),X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ojoin__0__eq__0_0) ).

cnf(cls_List_Olength__tl_0,axiom,
    c_Nat_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)) = c_minus(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__tl_0) ).

cnf(cls_List_Olength__butlast_0,axiom,
    c_Nat_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2)) = c_minus(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__butlast_0) ).

cnf(cls_IntArith_Oarith__special__1_0,axiom,
    ( c_plus(c_1,c_1,X1) = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oarith__special__1_0) ).

cnf(cls_Transitive__Closure_Otrancl__range_0,axiom,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ORange(X1,X2,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Otrancl__range_0) ).

cnf(cls_Transitive__Closure_Otrancl__domain_0,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ODomain(X1,X2,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Otrancl__domain_0) ).

cnf(cls_List_Oset__rotate_0,axiom,
    c_List_Oset(c_List_Orotate(X1,X2,X3),X3) = c_List_Oset(X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__rotate_0) ).

cnf(cls_Divides_Odiv__self_0,axiom,
    ( c_div(X1,X1,tc_nat) = c_1
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__self_0) ).

cnf(cls_Public_Ospies__pubK_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Ospies__pubK_0) ).

cnf(cls_NatSimprocs_Oinverse__eq__divide__number__of_0,axiom,
    ( c_HOL_Oinverse(c_Numeral_Onumber__of(X2,X1),X1) = c_divide(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oinverse__eq__divide__number__of_0) ).

cnf(cls_NatArith_Oof__nat__le__0__iff_0,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_NatArith_Oof__nat(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__le__0__iff_0) ).

cnf(cls_OrderedGroup_Oabs__le__zero__iff_0,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(c_HOL_Oabs(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__le__zero__iff_0) ).

cnf(cls_Datatype_Oelem__o2s_1,axiom,
    c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Oelem__o2s_1) ).

cnf(cls_List_Olast__appendL_0,axiom,
    c_List_Olast(c_append(X1,c_List_Olist_ONil,X2),X2) = c_List_Olast(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast__appendL_0) ).

cnf(cls_NatArith_Oof__nat__less__0__iff_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_NatArith_Oof__nat(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__less__0__iff_0) ).

cnf(cls_OrderedGroup_Oabs__not__less__zero_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_less(c_HOL_Oabs(X2,X1),c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__not__less__zero_0) ).

cnf(cls_Public_OCrypt__notin__used__empty_0,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OCrypt__notin__used__empty_0) ).

cnf(cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0,axiom,
    c_plus(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(X1,X2,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_List_Olength__replicate_0,axiom,
    c_Nat_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__replicate_0) ).

cnf(cls_OrderedGroup_Ozero__less__abs__iff_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_less(c_0,c_HOL_Oabs(c_0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ozero__less__abs__iff_0) ).

cnf(cls_Finite__Set_OMin__singleton_0,axiom,
    ( c_Finite__Set_OMin(c_insert(X2,c_emptyset,X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMin__singleton_0) ).

cnf(cls_Finite__Set_OMax__singleton_0,axiom,
    ( c_Finite__Set_OMax(c_insert(X2,c_emptyset,X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_OMax__singleton_0) ).

cnf(cls_Numeral_Obin__mult__1_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X2) = c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_Obin__mult(X1,X2),c_Numeral_Obit_OB0),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__mult__1_0) ).

cnf(cls_NatSimprocs_Odivide__eq__eq__number__of_1,axiom,
    ( c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1) = c_0
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__eq__eq__number__of_1) ).

cnf(cls_NatSimprocs_Oeq__divide__eq__number__of_2,axiom,
    ( c_0 = c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oeq__divide__eq__number__of_2) ).

cnf(cls_Message_OkeysFor__insert__Number_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__insert__Number_0) ).

cnf(cls_Message_OkeysFor__insert__Nonce_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__insert__Nonce_0) ).

cnf(cls_Message_OkeysFor__insert__Key_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__insert__Key_0) ).

cnf(cls_Message_OkeysFor__insert__Hash_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__insert__Hash_0) ).

cnf(cls_Message_OkeysFor__insert__Agent_0,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__insert__Agent_0) ).

cnf(cls_List_Ohd__upt_0,axiom,
    ( c_List_Ohd(c_List_Oupt(X1,X2),tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ohd__upt_0) ).

cnf(cls_List_Ohd__replicate_0,axiom,
    ( X1 = c_0
    | c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ohd__replicate_0) ).

cnf(cls_List_Olast__replicate_0,axiom,
    ( X1 = c_0
    | c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast__replicate_0) ).

cnf(cls_Public_Onot__symKeys__pubK_0,axiom,
    ~ c_in(c_Public_OpublicKey(X1,X2),c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Onot__symKeys__pubK_0) ).

cnf(cls_List_Otl_Osimps__2_0,axiom,
    c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otl_Osimps__2_0) ).

cnf(cls_List_Ohd_Osimps_0,axiom,
    c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ohd_Osimps_0) ).

cnf(cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_0,axiom,
    ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_0) ).

cnf(cls_NatSimprocs_Ominus__equation__iff__number__of_1,axiom,
    ( c_uminus(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1) = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__equation__iff__number__of_1) ).

cnf(cls_NatSimprocs_Oequation__minus__iff__number__of_1,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_uminus(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oequation__minus__iff__number__of_1) ).

cnf(cls_Ring__and__Field_Odivide__cancel__left_1,axiom,
    ( c_divide(c_0,X2,X1) = c_divide(c_0,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__cancel__left_1) ).

cnf(cls_Ring__and__Field_Odivide__cancel__right_1,axiom,
    ( c_divide(X2,c_0,X1) = c_divide(X3,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__cancel__right_1) ).

cnf(cls_Set_OInter__UNIV__conv__1_0,axiom,
    ( X1 = c_UNIV
    | ~ c_in(X1,X2,tc_set(X3))
    | c_Inter(X2,X3) != c_UNIV ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__UNIV__conv__1_0) ).

cnf(cls_Set_OUnion__empty__conv_0,axiom,
    ( X1 = c_emptyset
    | ~ c_in(X1,X2,tc_set(X3))
    | c_Union(X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__empty__conv_0) ).

cnf(cls_Set_OInter__UNIV__conv__2_0,axiom,
    ( X1 = c_UNIV
    | ~ c_in(X1,X2,tc_set(X3))
    | c_UNIV != c_Inter(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__UNIV__conv__2_0) ).

cnf(cls_Set_Oempty__Union__conv_0,axiom,
    ( X1 = c_emptyset
    | ~ c_in(X1,X2,tc_set(X3))
    | c_emptyset != c_Union(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__Union__conv_0) ).

cnf(cls_Event_Oevent_Osize__1_0,axiom,
    c_Nat_Osize(c_Event_Oevent_OSays(X1,X2,X3),tc_Event_Oevent) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Osize__1_0) ).

cnf(cls_List_Olength__remdups__eq_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/MSC001-1.ax',cls_List_Olength__remdups__eq_0) ).

cnf(cls_OrderedGroup_Oabs__of__nonpos_0,axiom,
    ( c_HOL_Oabs(X2,X1) = c_uminus(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonpos_0) ).

cnf(cls_IntArith_Ozabs__less__one__iff_0,axiom,
    ( X1 = c_0
    | ~ c_less(c_HOL_Oabs(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Ozabs__less__one__iff_0) ).

cnf(cls_Set_Ocontents__eq_0,axiom,
    c_Set_Ocontents(c_insert(X1,c_emptyset,X2),X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Ocontents__eq_0) ).

cnf(cls_List_Olast_Osimps_0,axiom,
    c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast_Osimps_0) ).

cnf(cls_List_Obutlast_Osimps__2_0,axiom,
    c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Obutlast_Osimps__2_0) ).

cnf(cls_Finite__Set_Ocard__0__eq_0,axiom,
    ( X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_Finite__Set_Ocard(X1,X2) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Ocard__0__eq_0) ).

cnf(cls_Public_OpublicKey__into__used_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_Oused(X3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpublicKey__into__used_0) ).

cnf(cls_Parity_Oneg__one__odd__power_0,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oneg__one__odd__power_0) ).

cnf(cls_Parity_Ominus__one__odd__power_0,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_uminus(c_1,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ominus__one__odd__power_0) ).

cnf(cls_SetInterval_OatLeastAtMost__singleton_0,axiom,
    ( c_SetInterval_OatLeastAtMost(X2,X2,X1) = c_insert(X2,c_emptyset,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeastAtMost__singleton_0) ).

cnf(cls_Ring__and__Field_Ofield__mult__cancel__left_1,axiom,
    ( c_times(c_0,X2,X1) = c_times(c_0,X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ofield__mult__cancel__left_1) ).

cnf(cls_Ring__and__Field_Ofield__mult__cancel__right_1,axiom,
    ( c_times(X2,c_0,X1) = c_times(X3,c_0,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ofield__mult__cancel__right_1) ).

cnf(cls_NatSimprocs_Odivide__minus1_0,axiom,
    ( c_divide(X2,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Odivide__minus1_0) ).

cnf(cls_Parity_Oneg__one__even__power_0,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oneg__one__even__power_0) ).

cnf(cls_Parity_Ominus__one__even__power_0,axiom,
    ( c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_1
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Ominus__one__even__power_0) ).

cnf(cls_Relation__Power_Orel__pow__1_0,axiom,
    c_Nat_Opower(X1,c_1,tc_set(tc_prod(X2,X2))) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation__Power_Orel__pow__1_0) ).

cnf(cls_Relation__Power_Orelpow_Osimps__1_0,axiom,
    c_Nat_Opower(X1,c_0,tc_set(tc_prod(X2,X2))) = c_Relation_OId,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation__Power_Orelpow_Osimps__1_0) ).

cnf(cls_Numeral_Obin__add__BIT__11_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),c_Numeral_OBit(X2,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__add(X1,c_Numeral_Obin__succ(X2)),c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__add__BIT__11_0) ).

cnf(cls_List_Ohd__Cons__tl_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otl(X1,X2),X2) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ohd__Cons__tl_0) ).

cnf(cls_List_Ohd__in__set_0,axiom,
    ( c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2)
    | X1 = c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ohd__in__set_0) ).

cnf(cls_List_Olast__in__set_0,axiom,
    ( c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2)
    | X1 = c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olast__in__set_0) ).

cnf(cls_Event_Oevent_Odistinct__3_0,axiom,
    c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Odistinct__3_0) ).

cnf(cls_Event_Oevent_Odistinct__1_0,axiom,
    c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Odistinct__1_0) ).

cnf(cls_Event_Oevent_Odistinct__4_0,axiom,
    c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Odistinct__4_0) ).

cnf(cls_Event_Oevent_Odistinct__2_0,axiom,
    c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Odistinct__2_0) ).

cnf(cls_OrderedGroup_Opprt__eq__id_0,axiom,
    ( c_OrderedGroup_Opprt(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Opprt__eq__id_0) ).

cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
    ( c_HOL_Oabs(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonneg_0) ).

cnf(cls_OrderedGroup_Onprt__eq__id_0,axiom,
    ( c_OrderedGroup_Onprt(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__eq__id_0) ).

cnf(cls_OrderedGroup_Onprt__eq__0_0,axiom,
    ( c_OrderedGroup_Onprt(X2,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__eq__0_0) ).

cnf(cls_OrderedGroup_Opprt__eq__0_0,axiom,
    ( c_OrderedGroup_Opprt(X2,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Opprt__eq__0_0) ).

cnf(cls_Finite__Set_Ocard__0__eq_1,axiom,
    ( c_Finite__Set_Ocard(c_emptyset,X1) = c_0
    | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Ocard__0__eq_1) ).

cnf(cls_Parity_Opower__0__left__number__of_0,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1) = c_1
    | ~ class_Power_Orecpower(X1)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__0__left__number__of_0) ).

cnf(cls_Ring__and__Field_Odivide__eq__0__iff_0,axiom,
    ( X3 = c_0
    | X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(X2,X3,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__eq__0__iff_0) ).

cnf(cls_Ring__and__Field_Odivide__eq__eq__1_1,axiom,
    ( X3 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(X2,X3,X1) != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__eq__eq__1_1) ).

cnf(cls_Ring__and__Field_Odivide__eq__1__iff_1,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(X2,X3,X1) != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__eq__1__iff_1) ).

cnf(cls_Ring__and__Field_Oeq__divide__eq__1_1,axiom,
    ( X3 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_1 != c_divide(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oeq__divide__eq__1_1) ).

cnf(cls_Ring__and__Field_Oone__eq__divide__iff_1,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_1 != c_divide(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oone__eq__divide__iff_1) ).

cnf(cls_Numeral_Obin__add__BIT__0_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),c_Numeral_OBit(X2,X3)) = c_Numeral_OBit(c_Numeral_Obin__add(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__add__BIT__0_0) ).

cnf(cls_Nat_Omult__cancel1_1,axiom,
    c_times(c_0,X1,tc_nat) = c_times(c_0,X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__cancel1_1) ).

cnf(cls_Nat_Omult__cancel2_1,axiom,
    c_times(X1,c_0,tc_nat) = c_times(X2,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__cancel2_1) ).

cnf(cls_Power_Opower__eq__0__iff_0,axiom,
    ( X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Nat_Opower(X2,X3,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__eq__0__iff_0) ).

cnf(cls_Set_OInter__UNIV__conv__1_1,axiom,
    ( c_in(c_Main_OInter__UNIV__conv__1__1(X1,X2),X1,tc_set(X2))
    | c_Inter(X1,X2) = c_UNIV ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__UNIV__conv__1_1) ).

cnf(cls_Set_OUnion__empty__conv_1,axiom,
    ( c_in(c_Main_OUnion__empty__conv__1(X1,X2),X1,tc_set(X2))
    | c_Union(X1,X2) = c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__empty__conv_1) ).

cnf(cls_Set_OInter__UNIV__conv__2_1,axiom,
    ( c_in(c_Main_OInter__UNIV__conv__2__1(X1,X2),X1,tc_set(X2))
    | c_UNIV = c_Inter(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__UNIV__conv__2_1) ).

cnf(cls_Set_Oempty__Union__conv_1,axiom,
    ( c_in(c_Main_Oempty__Union__conv__1(X1,X2),X1,tc_set(X2))
    | c_emptyset = c_Union(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__Union__conv_1) ).

cnf(cls_IntArith_Oint__eq__iff__number__of_1,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oint__eq__iff__number__of_1) ).

cnf(cls_NatBin_Oof__nat__number__of__eq_0,axiom,
    ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X2,tc_nat),X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oof__nat__number__of__eq_0) ).

cnf(cls_NatSimprocs_Ominus__equation__iff__number__of_0,axiom,
    ( c_uminus(c_Numeral_Onumber__of(X3,X1),X1) = X2
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_Numeral_Onumber__of(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Ominus__equation__iff__number__of_0) ).

cnf(cls_NatSimprocs_Oequation__minus__iff__number__of_0,axiom,
    ( X3 = c_uminus(c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_uminus(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oequation__minus__iff__number__of_0) ).

cnf(cls_Ring__and__Field_Oone__divide__eq__0__iff_0,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(c_1,X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oone__divide__eq__0__iff_0) ).

cnf(cls_Ring__and__Field_Ozero__eq__1__divide__iff_0,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_0 != c_divide(c_1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ozero__eq__1__divide__iff_0) ).

cnf(cls_Numeral_Omult__minus1_0,axiom,
    ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Omult__minus1_0) ).

cnf(cls_Numeral_Omult__minus1__right_0,axiom,
    ( c_times(X2,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Omult__minus1__right_0) ).

cnf(cls_List_Oupt__eq__Nil__conv_2,axiom,
    ( c_List_Oupt(X2,X1) = c_List_Olist_ONil
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oupt__eq__Nil__conv_2) ).

cnf(cls_Numeral_Obin__add__BIT__10_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),c_Numeral_OBit(X2,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__add(X1,X2),c_Numeral_Obit_OB1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__add__BIT__10_0) ).

cnf(cls_Ring__and__Field_Odivide__eq__eq__1_0,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(X2,c_0,X1) != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__eq__eq__1_0) ).

cnf(cls_Ring__and__Field_Oeq__divide__eq__1_0,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_1 != c_divide(X2,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oeq__divide__eq__1_0) ).

cnf(cls_Public_ONonce__notin__used__empty_0,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_ONonce__notin__used__empty_0) ).

cnf(cls_Ring__and__Field_Omult__cancel__left2_0,axiom,
    ( X2 = c_0
    | X3 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_times(X2,X3,X1) != X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__left2_0) ).

cnf(cls_Ring__and__Field_Omult__cancel__right2_0,axiom,
    ( X3 = c_0
    | X2 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_times(X2,X3,X1) != X3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__right2_0) ).

cnf(cls_Ring__and__Field_Omult__cancel__left1_0,axiom,
    ( X2 = c_0
    | X3 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | X2 != c_times(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__left1_0) ).

cnf(cls_Ring__and__Field_Omult__cancel__right1_0,axiom,
    ( X2 = c_0
    | X3 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | X2 != c_times(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__right1_0) ).

cnf(cls_Public_OshrK__in__knows_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OshrK__in__knows_0) ).

cnf(cls_Ring__and__Field_Omult__eq__0__iff_0,axiom,
    ( X3 = c_0
    | X2 = c_0
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_times(X2,X3,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__eq__0__iff_0) ).

cnf(cls_Parity_Opower__0__left__number__of_1,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1) = c_0
    | c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Opower__0__left__number__of_1) ).

cnf(cls_List_Olength__upt_0,axiom,
    c_Nat_Osize(c_List_Oupt(X1,X2),tc_List_Olist(tc_nat)) = c_minus(X2,X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__upt_0) ).

cnf(cls_OrderedGroup_Odiff__eq__0__iff__eq_0,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_minus(X2,X3,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__eq__0__iff__eq_0) ).

cnf(cls_Set_Osubset__empty_0,axiom,
    ( X1 = c_emptyset
    | ~ c_lessequals(X1,c_emptyset,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Osubset__empty_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_Relation_Oconverse__diag_0,axiom,
    c_Relation_Oconverse(c_Relation_Odiag(X1,X2),X2,X2) = c_Relation_Odiag(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_Oconverse__diag_0) ).

cnf(cls_Ring__and__Field_Oabs__inverse_0,axiom,
    ( c_HOL_Oabs(c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_HOL_Oabs(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oabs__inverse_0) ).

cnf(cls_Ring__and__Field_Oinverse__minus__eq_0,axiom,
    ( c_HOL_Oinverse(c_uminus(X2,X1),X1) = c_uminus(c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__minus__eq_0) ).

cnf(cls_NatBin_Oof__nat__number__of__eq_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X2,tc_nat),X1) = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oof__nat__number__of__eq_1) ).

cnf(cls_Orderings_Oorder__less__irrefl_0,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Oorder__less__irrefl_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_Set_Onot__psubset__empty_0,axiom,
    ~ c_less(X1,c_emptyset,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Onot__psubset__empty_0) ).

cnf(cls_Datatype_Oo2s_Osimps__2_0,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2) = c_insert(X1,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Oo2s_Osimps__2_0) ).

cnf(cls_IntDef_Oint__nat__eq_0,axiom,
    ( c_IntDef_Oint(c_IntDef_Onat(X1)) = X1
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__nat__eq_0) ).

cnf(cls_IntDef_Oint__le__0__conv_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__le__0__conv_0) ).

cnf(cls_NatBin_Oeq__number__of__0_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__number__of__0_0) ).

cnf(cls_NatBin_Oeq__0__number__of_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_0 != c_Numeral_Onumber__of(X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__0__number__of_0) ).

cnf(cls_List_Olength__greater__0__conv_1,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/MSC001-1.ax',cls_List_Olength__greater__0__conv_1) ).

cnf(cls_IntDef_Oint__less__0__conv_0,axiom,
    ~ c_less(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__less__0__conv_0) ).

cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,
    ( X2 = c_0
    | c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).

cnf(cls_Ring__and__Field_Oright__inverse_0,axiom,
    ( X2 = c_0
    | c_times(X2,c_HOL_Oinverse(X2,X1),X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oright__inverse_0) ).

cnf(cls_List_Oappend__self__conv2_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__self__conv2_0) ).

cnf(cls_List_Oappend__self__conv_0,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__self__conv_0) ).

cnf(cls_List_Oself__append__conv_0,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oself__append__conv_0) ).

cnf(cls_List_Oself__append__conv2_0,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oself__append__conv2_0) ).

cnf(cls_Ring__and__Field_Onot__one__less__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Onot__one__less__zero_0) ).

cnf(cls_Ring__and__Field_Onot__one__le__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_1,c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Onot__one__le__zero_0) ).

cnf(cls_Message_Oparts__emptyE_0,axiom,
    ~ c_in(X1,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oparts__emptyE_0) ).

cnf(cls_OrderedGroup_Ozero__less__abs__iff_1,axiom,
    ( c_less(c_0,c_HOL_Oabs(X2,X1),X1)
    | X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ozero__less__abs__iff_1) ).

cnf(cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0,axiom,
    ( c_plus(c_uminus(X2,X1),X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0) ).

cnf(cls_OrderedGroup_Oright__minus_0,axiom,
    ( c_plus(X2,c_uminus(X2,X1),X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oright__minus_0) ).

cnf(cls_List_Oappend__is__Nil__conv_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__is__Nil__conv_0) ).

cnf(cls_Set_OUn__empty_0,axiom,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__empty_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty_0,axiom,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Equiv__Relations_Oquotient__is__empty_0) ).

cnf(cls_List_Orotate__is__Nil__conv_0,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Orotate(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orotate__is__Nil__conv_0) ).

cnf(cls_List_Oappend__is__Nil__conv_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__is__Nil__conv_1) ).

cnf(cls_Set_OUn__empty_1,axiom,
    ( X2 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__empty_1) ).

cnf(cls_List_ONil__is__append__conv_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_ONil__is__append__conv_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty2_0,axiom,
    ( X1 = c_emptyset
    | c_emptyset != c_Equiv__Relations_Oquotient(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Equiv__Relations_Oquotient__is__empty2_0) ).

cnf(cls_List_ONil__is__append__conv_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_ONil__is__append__conv_1) ).

cnf(cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0) ).

cnf(cls_List_Onot__Cons__self_0,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onot__Cons__self_0) ).

cnf(cls_Nat_Omult__is__0_0,axiom,
    ( X2 = c_0
    | X1 = c_0
    | c_times(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__is__0_0) ).

cnf(cls_Public_OinvKey__K_0,axiom,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OinvKey__K_0) ).

cnf(cls_OrderedGroup_Onprt__le__zero_0,axiom,
    ( c_lessequals(c_OrderedGroup_Onprt(X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__le__zero_0) ).

cnf(cls_IntDef_Oof__nat__in__Nats_0,axiom,
    ( c_in(c_NatArith_Oof__nat(X2,X1),c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__nat__in__Nats_0) ).

cnf(cls_OrderedGroup_Ozero__le__pprt_0,axiom,
    ( c_lessequals(c_0,c_OrderedGroup_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ozero__le__pprt_0) ).

cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).

cnf(cls_NatArith_Oof__nat__0__le__iff_0,axiom,
    ( c_lessequals(c_0,c_NatArith_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__0__le__iff_0) ).

cnf(cls_Infinite__Set_Onat__infinite_0,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Infinite__Set_Onat__infinite_0) ).

cnf(cls_List_Olist_Odistinct__2_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist_Odistinct__2_0) ).

cnf(cls_Set_Oinsert__not__empty_0,axiom,
    c_insert(X1,X2,X3) != c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__not__empty_0) ).

cnf(cls_List_Olist_Odistinct__1_0,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist_Odistinct__1_0) ).

cnf(cls_Set_Oempty__not__insert_0,axiom,
    c_emptyset != c_insert(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__not__insert_0) ).

cnf(cls_IntDef_Onat__le__0_0,axiom,
    ( c_IntDef_Onat(X1) = c_0
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onat__le__0_0) ).

cnf(cls_Nat_Oadd__is__0_0,axiom,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oadd__is__0_0) ).

cnf(cls_Nat_Oadd__is__0_1,axiom,
    ( X2 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oadd__is__0_1) ).

cnf(cls_IntDiv_Ozdiv__minus1__right_0,axiom,
    c_div(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(X1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__minus1__right_0) ).

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_IntDef_Oof__int__minus_0,axiom,
    ( c_IntDef_Oof__int(c_uminus(X2,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X2,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__minus_0) ).

cnf(cls_List_Oop_Amem_Osimps__1_0,axiom,
    ~ c_List_Oop_Amem(X1,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oop_Amem_Osimps__1_0) ).

cnf(cls_Set_Oempty__iff_0,axiom,
    ~ c_in(X1,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__iff_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_NatBin_Oint__nat__number__of_0,axiom,
    ( c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oint__nat__number__of_0) ).

cnf(cls_OrderedGroup_Oabs__le__zero__iff_1,axiom,
    ( c_lessequals(c_HOL_Oabs(c_0,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__le__zero__iff_1) ).

cnf(cls_NatArith_Oof__nat__le__0__iff_1,axiom,
    ( c_lessequals(c_NatArith_Oof__nat(c_0,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__le__0__iff_1) ).

cnf(cls_OrderedGroup_Omeet__0__eq__0_1,axiom,
    ( c_LOrder_Omeet(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Omeet__0__eq__0_1) ).

cnf(cls_OrderedGroup_Ojoin__0__eq__0_1,axiom,
    ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ojoin__0__eq__0_1) ).

cnf(cls_IntDiv_Ozdvd__0__left_0,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdvd__0__left_0) ).

cnf(cls_Divides_Odvd__0__left__iff_0,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odvd__0__left__iff_0) ).

cnf(cls_Nat_Oless__one_0,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oless__one_0) ).

cnf(cls_Nat_Ole__0__eq_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Ole__0__eq_0) ).

cnf(cls_Set_Oall__not__in__conv_0,axiom,
    ( c_in(c_Main_Oall__not__in__conv__1(X1,X2),X1,X2)
    | X1 = c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oall__not__in__conv_0) ).

cnf(cls_Relation_ORange__diag_0,axiom,
    c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_ORange__diag_0) ).

cnf(cls_Relation_ODomain__diag_0,axiom,
    c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_ODomain__diag_0) ).

cnf(cls_Nat_Onot__less0_0,axiom,
    ~ c_less(X1,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__less0_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_Onot__gr0_1,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__gr0_1) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0) ).

cnf(cls_List_Odistinct1__rotate_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct1__rotate_0) ).

cnf(cls_List_Odistinct__rev_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__rev_0) ).

cnf(cls_Public_OshrK__in__used_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OshrK__in__used_0) ).

cnf(cls_List_Oupt__eq__Nil__conv_0,axiom,
    ( c_lessequals(X2,X1,tc_nat)
    | X2 = c_0
    | c_List_Oupt(X1,X2) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oupt__eq__Nil__conv_0) ).

cnf(cls_NatBin_Oint__nat__number__of_1,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oint__nat__number__of_1) ).

cnf(cls_Numeral_Obin__mult__0_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2) = c_Numeral_OBit(c_Numeral_Obin__mult(X1,X2),c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__mult__0_0) ).

cnf(cls_Message_Oanalz__synth_0,axiom,
    c_Message_Oanalz(c_Message_Osynth(X1)) = c_union(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__synth_0) ).

cnf(cls_Message_Oparts__synth_0,axiom,
    c_Message_Oparts(c_Message_Osynth(X1)) = c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__synth_0) ).

cnf(cls_OrderedGroup_Odiff__0_0,axiom,
    ( c_minus(c_0,X2,X1) = c_uminus(X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__0_0) ).

cnf(cls_Finite__Set_Ocard__infinite_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_Finite__Set_Ocard(X1,X2) = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Ocard__infinite_0) ).

cnf(cls_IntDiv_Ozmod__minus1__right_0,axiom,
    c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__minus1__right_0) ).

cnf(cls_Numeral_Obin__rel__simps__7_0,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__7_0) ).

cnf(cls_IntArith_Ozabs__less__one__iff_1,axiom,
    c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Ozabs__less__one__iff_1) ).

cnf(cls_Ring__and__Field_Odivide__eq__eq__1_2,axiom,
    ( X2 = c_0
    | c_divide(X2,X2,X1) = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__eq__eq__1_2) ).

cnf(cls_Ring__and__Field_Oeq__divide__eq__1_2,axiom,
    ( X2 = c_0
    | c_1 = c_divide(X2,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oeq__divide__eq__1_2) ).

cnf(cls_List_Olistset_Osimps__1_0,axiom,
    c_List_Olistset(c_List_Olist_ONil,X1) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olistset_Osimps__1_0) ).

cnf(cls_Set_OPow__empty_0,axiom,
    c_Pow(c_emptyset,X1) = c_insert(c_emptyset,c_emptyset,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OPow__empty_0) ).

cnf(cls_Public_OprivateKey_Ab1_AA1_A_61_ApublicKey_Ac1_AA_H1_A_61_61_AFalse_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OpublicKey(X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OprivateKey_Ab1_AA1_A_61_ApublicKey_Ac1_AA_H1_A_61_61_AFalse_0) ).

cnf(cls_Public_OpublicKey__neq__privateKey_0,axiom,
    c_Public_OpublicKey(X1,X2) != c_Message_OinvKey(c_Public_OpublicKey(X3,X4)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpublicKey__neq__privateKey_0) ).

cnf(cls_Parity_Oeven__neg_0,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__neg_0) ).

cnf(cls_NatBin_Oeq__number__of__0_2,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__number__of__0_2) ).

cnf(cls_NatBin_Oeq__number__of__0_1,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__number__of__0_1) ).

cnf(cls_NatBin_Oeq__0__number__of_2,axiom,
    ( c_0 = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__0__number__of_2) ).

cnf(cls_NatBin_Oeq__0__number__of_1,axiom,
    ( c_0 = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Oeq__0__number__of_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_Ring__and__Field_Odivide__eq__0__iff_1,axiom,
    ( c_divide(c_0,X2,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__eq__0__iff_1) ).

cnf(cls_Ring__and__Field_Odivide__eq__0__iff_2,axiom,
    ( c_divide(X2,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__eq__0__iff_2) ).

cnf(cls_SetInterval_OCompl__greaterThan_0,axiom,
    ( c_uminus(c_SetInterval_OgreaterThan(X2,X1),tc_set(X1)) = c_SetInterval_OatMost(X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OCompl__greaterThan_0) ).

cnf(cls_SetInterval_OCompl__atLeast_0,axiom,
    ( c_uminus(c_SetInterval_OatLeast(X2,X1),tc_set(X1)) = c_SetInterval_OlessThan(X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OCompl__atLeast_0) ).

cnf(cls_SetInterval_OCompl__lessThan_0,axiom,
    ( c_uminus(c_SetInterval_OlessThan(X2,X1),tc_set(X1)) = c_SetInterval_OatLeast(X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OCompl__lessThan_0) ).

cnf(cls_SetInterval_OCompl__atMost_0,axiom,
    ( c_uminus(c_SetInterval_OatMost(X2,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OCompl__atMost_0) ).

cnf(cls_List_Olength__rotate1_0,axiom,
    c_Nat_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__rotate1_0) ).

cnf(cls_List_Olength__rev_0,axiom,
    c_Nat_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__rev_0) ).

cnf(cls_Ring__and__Field_Oone__divide__eq__0__iff_1,axiom,
    ( c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oone__divide__eq__0__iff_1) ).

cnf(cls_Ring__and__Field_Odivide__self__if_0,axiom,
    ( c_divide(c_0,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__self__if_0) ).

cnf(cls_Ring__and__Field_Ozero__eq__1__divide__iff_1,axiom,
    ( c_0 = c_divide(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ozero__eq__1__divide__iff_1) ).

cnf(cls_Numeral_Obin__rel__simps__3_0,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__3_0) ).

cnf(cls_Set_OCompl__eq__Compl__iff_0,axiom,
    ( X1 = X3
    | c_uminus(X1,tc_set(X2)) != c_uminus(X3,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__eq__Compl__iff_0) ).

cnf(cls_Message_ONumber__synth_0,axiom,
    c_in(c_Message_Omsg_ONumber(X1),c_Message_Osynth(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_ONumber__synth_0) ).

cnf(cls_Message_OAgent__synth_0,axiom,
    c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OAgent__synth_0) ).

cnf(cls_List_Odistinct1__rotate_1,axiom,
    ( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct1__rotate_1) ).

cnf(cls_List_Odistinct__rev_1,axiom,
    ( c_List_Odistinct(c_List_Orev(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__rev_1) ).

cnf(cls_LOrder_Omeet__idempotent_0,axiom,
    ( c_LOrder_Omeet(X2,X2,X1) = X2
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_LOrder_Omeet__idempotent_0) ).

cnf(cls_LOrder_Ojoin__idempotent_0,axiom,
    ( c_LOrder_Ojoin(X2,X2,X1) = X2
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_LOrder_Ojoin__idempotent_0) ).

cnf(cls_Orderings_Omin__max_Obelow__inf_Oinf__idem_0,axiom,
    ( c_Orderings_Omin(X2,X2,X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__inf_Oinf__idem_0) ).

cnf(cls_Orderings_Omin__max_Obelow__sup_Osup__idem_0,axiom,
    ( c_Orderings_Omax(X2,X2,X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Osup__idem_0) ).

cnf(cls_IntDef_Oint__nat__eq_1,axiom,
    ( c_lessequals(c_0,X1,tc_IntDef_Oint)
    | c_IntDef_Oint(c_IntDef_Onat(X1)) = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__nat__eq_1) ).

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_OrderedGroup_Odiff__self_0,axiom,
    ( c_minus(X2,X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__self_0) ).

cnf(cls_OrderedGroup_Oabs__idempotent_0,axiom,
    ( c_HOL_Oabs(c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__idempotent_0) ).

cnf(cls_OrderedGroup_Oabs__minus__cancel_0,axiom,
    ( c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__minus__cancel_0) ).

cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
    ( c_plus(c_0,X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
    ( c_times(c_1,X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).

cnf(cls_Ring__and__Field_Odivide__1_0,axiom,
    ( c_divide(X2,c_1,X1) = X2
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Odivide__1_0) ).

cnf(cls_Power_Opower__one__right_0,axiom,
    ( c_Nat_Opower(X2,c_1,X1) = X2
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__one__right_0) ).

cnf(cls_OrderedGroup_Odiff__0__right_0,axiom,
    ( c_minus(X2,c_0,X1) = X2
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__0__right_0) ).

cnf(cls_OrderedGroup_Oadd__0__right_0,axiom,
    ( c_plus(X2,c_0,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__0__right_0) ).

cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__2_0,axiom,
    ( c_times(X2,c_1,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__2_0) ).

cnf(cls_Ring__and__Field_Omult__cancel__right1_2,axiom,
    ( X2 = c_times(c_1,X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__right1_2) ).

cnf(cls_Ring__and__Field_Omult__cancel__left1_2,axiom,
    ( X2 = c_times(X2,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__left1_2) ).

cnf(cls_Ring__and__Field_Oinverse__eq__iff__eq_0,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(X2,X1) != c_HOL_Oinverse(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__eq__iff__eq_0) ).

cnf(cls_SetInterval_OatMost__0_0,axiom,
    c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatMost__0_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_ODiff__cancel_0,axiom,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__cancel_0) ).

cnf(cls_Power_Opower__one_0,axiom,
    ( c_Nat_Opower(c_1,X2,X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower__one_0) ).

cnf(cls_Ring__and__Field_Omult__zero__left_0,axiom,
    ( c_times(c_0,X2,X1) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__zero__left_0) ).

cnf(cls_Power_Orecpower__class_Oaxioms__1_0,axiom,
    ( c_Nat_Opower(X2,c_0,X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Orecpower__class_Oaxioms__1_0) ).

cnf(cls_Ring__and__Field_Omult__zero__right_0,axiom,
    ( c_times(X2,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__zero__right_0) ).

cnf(cls_Ring__and__Field_Omult__cancel__left1_1,axiom,
    ( c_0 = c_times(c_0,X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__left1_1) ).

cnf(cls_Ring__and__Field_Omult__cancel__right1_1,axiom,
    ( c_0 = c_times(X2,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__right1_1) ).

cnf(cls_Set_ODiff__empty_0,axiom,
    c_minus(X1,c_emptyset,tc_set(X2)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__empty_0) ).

cnf(cls_Set_Odouble__complement_0,axiom,
    c_uminus(c_uminus(X1,tc_set(X2)),tc_set(X2)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Odouble__complement_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_Set_Osubset__UNIV_0,axiom,
    c_lessequals(X1,c_UNIV,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Osubset__UNIV_0) ).

cnf(cls_Set_Oempty__Diff_0,axiom,
    c_minus(c_emptyset,X1,tc_set(X2)) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__Diff_0) ).

cnf(cls_Set_ODiff__UNIV_0,axiom,
    c_minus(X1,c_UNIV,tc_set(X2)) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__UNIV_0) ).

cnf(cls_Ring__and__Field_Oordered__semidom__class_Oaxioms_0,axiom,
    ( c_less(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oordered__semidom__class_Oaxioms_0) ).

cnf(cls_Ring__and__Field_Ozero__le__one_0,axiom,
    ( c_lessequals(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Ozero__le__one_0) ).

cnf(cls_IntDef_ONats__1_0,axiom,
    ( c_in(c_1,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_ONats__1_0) ).

cnf(cls_IntDef_OInts__1_0,axiom,
    ( c_in(c_1,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_OInts__1_0) ).

cnf(cls_IntDef_ONats__0_0,axiom,
    ( c_in(c_0,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_ONats__0_0) ).

cnf(cls_IntDef_OInts__0_0,axiom,
    ( c_in(c_0,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_OInts__0_0) ).

cnf(cls_IntDef_Oof__int__of__nat__eq_0,axiom,
    ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X2,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X2,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__of__nat__eq_0) ).

cnf(cls_Public_OshrK_AX1_A_58_AsymKeys_A_61_61_ATrue_0,axiom,
    c_in(c_Public_OshrK(X1),c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OshrK_AX1_A_58_AsymKeys_A_61_61_ATrue_0) ).

cnf(cls_IntDef_Ozero__zle__int_0,axiom,
    c_lessequals(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Ozero__zle__int_0) ).

cnf(cls_Set_Osubset__empty_1,axiom,
    c_lessequals(c_emptyset,c_emptyset,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Osubset__empty_1) ).

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_Parity_Oeven__neg_1,axiom,
    ( c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__neg_1) ).

cnf(cls_Set_OUn__absorb_0,axiom,
    c_union(X1,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__absorb_0) ).

cnf(cls_Ring__and__Field_Oinverse__inverse__eq_0,axiom,
    ( c_HOL_Oinverse(c_HOL_Oinverse(X2,X1),X1) = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__inverse__eq_0) ).

cnf(cls_IntDiv_Ozdiv__self_0,axiom,
    ( X1 = c_0
    | c_div(X1,X1,tc_IntDef_Oint) = c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__self_0) ).

cnf(cls_IntDef_Oint__le__0__conv_1,axiom,
    c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__le__0__conv_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_IntArith_Oint__eq__iff__number__of_0,axiom,
    ( X1 = c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint))
    | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oint__eq__iff__number__of_0) ).

cnf(cls_List_Oset__rotate1_0,axiom,
    c_List_Oset(c_List_Orotate1(X1,X2),X2) = c_List_Oset(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__rotate1_0) ).

cnf(cls_List_Oset__rev_0,axiom,
    c_List_Oset(c_List_Orev(X1,X2),X2) = c_List_Oset(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__rev_0) ).

cnf(cls_List_Oset__remdups_0,axiom,
    c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__remdups_0) ).

cnf(cls_List_Odrop__0_0,axiom,
    c_List_Odrop(c_0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__0_0) ).

cnf(cls_List_Oappend__self__conv2_1,axiom,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__self__conv2_1) ).

cnf(cls_Set_OUn__empty__left_0,axiom,
    c_union(c_emptyset,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__empty__left_0) ).

cnf(cls_List_Oappend__self__conv_1,axiom,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__self__conv_1) ).

cnf(cls_Set_OUn__empty__right_0,axiom,
    c_union(X1,c_emptyset,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__empty__right_0) ).

cnf(cls_Datatype_Ounit_Orecs_0,axiom,
    c_Datatype_Ounit_Ounit__rec(X1,c_Product__Type_OUnity,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ounit_Orecs_0) ).

cnf(cls_Datatype_Ounit_Ocases_0,axiom,
    c_Datatype_Ounit_Ounit__case(X1,c_Product__Type_OUnity,X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ounit_Ocases_0) ).

cnf(cls_List_Oself__append__conv2_1,axiom,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oself__append__conv2_1) ).

cnf(cls_List_Oself__append__conv_1,axiom,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oself__append__conv_1) ).

cnf(cls_Public_OshrK__neq__priK_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OshrK(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OshrK__neq__priK_0) ).

cnf(cls_Public_OpriK__neq__shrK_0,axiom,
    c_Public_OshrK(X1) != c_Message_OinvKey(c_Public_OpublicKey(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpriK__neq__shrK_0) ).

cnf(cls_SetInterval_OgreaterThan__eq__iff_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OgreaterThan(X2,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OgreaterThan__eq__iff_0) ).

cnf(cls_SetInterval_OatLeast__eq__iff_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatLeast(X2,X1) != c_SetInterval_OatLeast(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeast__eq__iff_0) ).

cnf(cls_IntDef_Oof__int__eq__iff_0,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_IntDef_Oof__int(X2,X1) != c_IntDef_Oof__int(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__eq__iff_0) ).

cnf(cls_NatArith_Oof__nat__eq__iff_0,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_NatArith_Oof__nat(X2,X1) != c_NatArith_Oof__nat(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__eq__iff_0) ).

cnf(cls_SetInterval_OlessThan__eq__iff_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OlessThan(X2,X1) != c_SetInterval_OlessThan(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OlessThan__eq__iff_0) ).

cnf(cls_SetInterval_OatMost__eq__iff_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatMost(X2,X1) != c_SetInterval_OatMost(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatMost__eq__iff_0) ).

cnf(cls_OrderedGroup_Oneg__equal__iff__equal_0,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_uminus(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__equal__iff__equal_0) ).

cnf(cls_IntArith_Oof__int__m1_0,axiom,
    ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oof__int__m1_0) ).

cnf(cls_Nat_Onot__gr0_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__gr0_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_IntDiv_Ozdvd__refl_0,axiom,
    c_Divides_Oop_Advd(X1,X1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdvd__refl_0) ).

cnf(cls_Divides_Odvd__refl_0,axiom,
    c_Divides_Oop_Advd(X1,X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odvd__refl_0) ).

cnf(cls_List_Olist__inter_Osimps__1_0,axiom,
    c_List_Olist__inter(c_List_Olist_ONil,X1,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olist__inter_Osimps__1_0) ).

cnf(cls_List_Oreplicate_Oreplicate__0_0,axiom,
    c_List_Oreplicate(c_0,X1,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oreplicate_Oreplicate__0_0) ).

cnf(cls_List_Osublist__nil_0,axiom,
    c_List_Osublist(c_List_Olist_ONil,X1,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Osublist__nil_0) ).

cnf(cls_Set_OUn__UNIV__left_0,axiom,
    c_union(c_UNIV,X1,X2) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__UNIV__left_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty_1,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Equiv__Relations_Oquotient__is__empty_1) ).

cnf(cls_Relation_Oconverse__Id_0,axiom,
    c_Relation_Oconverse(c_Relation_OId,X1,X1) = c_Relation_OId,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_Oconverse__Id_0) ).

cnf(cls_Relation_ORange__Id_0,axiom,
    c_Relation_ORange(c_Relation_OId,X1,X1) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_ORange__Id_0) ).

cnf(cls_Relation_ORange__empty_0,axiom,
    c_Relation_ORange(c_emptyset,X1,X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_ORange__empty_0) ).

cnf(cls_Relation_ODomain__Id_0,axiom,
    c_Relation_ODomain(c_Relation_OId,X1,X1) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_ODomain__Id_0) ).

cnf(cls_Relation_ODomain__empty_0,axiom,
    c_Relation_ODomain(c_emptyset,X1,X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_ODomain__empty_0) ).

cnf(cls_List_Olexn_Osimps__1_0,axiom,
    c_List_Olexn(X1,c_0,X2) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olexn_Osimps__1_0) ).

cnf(cls_List_Osublist__empty_0,axiom,
    c_List_Osublist(X1,c_emptyset,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Osublist__empty_0) ).

cnf(cls_List_Orotate__is__Nil__conv_1,axiom,
    c_List_Orotate(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orotate__is__Nil__conv_1) ).

cnf(cls_List_Oremove1_Osimps__1_0,axiom,
    c_List_Oremove1(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremove1_Osimps__1_0) ).

cnf(cls_List_Odrop_Odrop__Nil_0,axiom,
    c_List_Odrop(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop_Odrop__Nil_0) ).

cnf(cls_Set_OUn__UNIV__right_0,axiom,
    c_union(X1,c_UNIV,X2) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__UNIV__right_0) ).

cnf(cls_Nat_Odiff__self__eq__0_0,axiom,
    c_minus(X1,X1,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__self__eq__0_0) ).

cnf(cls_IntDiv_Ozmod__self_0,axiom,
    c_Divides_Oop_Amod(X1,X1,tc_IntDef_Oint) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__self_0) ).

cnf(cls_Divides_Omod__self_0,axiom,
    c_Divides_Oop_Amod(X1,X1,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__self_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty2_1,axiom,
    c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Equiv__Relations_Oquotient__is__empty2_1) ).

cnf(cls_Nat_Omax__0L_0,axiom,
    c_Orderings_Omax(c_0,X1,tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omax__0L_0) ).

cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom,
    c_plus(c_0,X1,tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oop_A_L_Oadd__0_0) ).

cnf(cls_Nat_Oop_A_N_Odiff__0_0,axiom,
    c_minus(X1,c_0,tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oop_A_N_Odiff__0_0) ).

cnf(cls_Nat_Omax__0R_0,axiom,
    c_Orderings_Omax(X1,c_0,tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omax__0R_0) ).

cnf(cls_IntDiv_Ozdiv__1_0,axiom,
    c_div(X1,c_1,tc_IntDef_Oint) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__1_0) ).

cnf(cls_Nat_Oadd__0__right_0,axiom,
    c_plus(X1,c_0,tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oadd__0__right_0) ).

cnf(cls_IntDiv_ODIVISION__BY__ZERO_0,axiom,
    c_Divides_Oop_Amod(X1,c_0,tc_IntDef_Oint) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_ODIVISION__BY__ZERO_0) ).

cnf(cls_Divides_ODIVISION__BY__ZERO__MOD_0,axiom,
    c_Divides_Oop_Amod(X1,c_0,tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_ODIVISION__BY__ZERO__MOD_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_2,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oappend__is__Nil__conv_2) ).

cnf(cls_Set_OUn__empty_2,axiom,
    c_union(c_emptyset,c_emptyset,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__empty_2) ).

cnf(cls_Nat_Odiff__0__eq__0_0,axiom,
    c_minus(c_0,X1,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__0__eq__0_0) ).

cnf(cls_Nat_Omin__0L_0,axiom,
    c_Orderings_Omin(c_0,X1,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omin__0L_0) ).

cnf(cls_IntDiv_Ozdiv__zero_0,axiom,
    c_div(c_0,X1,tc_IntDef_Oint) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdiv__zero_0) ).

cnf(cls_Divides_Odiv__0_0,axiom,
    c_div(c_0,X1,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odiv__0_0) ).

cnf(cls_IntDiv_Ozmod__zero_0,axiom,
    c_Divides_Oop_Amod(c_0,X1,tc_IntDef_Oint) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__zero_0) ).

cnf(cls_Divides_Omod__0_0,axiom,
    c_Divides_Oop_Amod(c_0,X1,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Omod__0_0) ).

cnf(cls_Nat_Oop_A_K_Omult__0_0,axiom,
    c_times(c_0,X1,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oop_A_K_Omult__0_0) ).

cnf(cls_IntDiv_Opower_Osimps__1_0,axiom,
    c_Nat_Opower(X1,c_0,tc_IntDef_Oint) = c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Opower_Osimps__1_0) ).

cnf(cls_Power_Opower_Osimps__1_0,axiom,
    c_Nat_Opower(X1,c_0,tc_nat) = c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Power_Opower_Osimps__1_0) ).

cnf(cls_Nat_Omin__0R_0,axiom,
    c_Orderings_Omin(X1,c_0,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omin__0R_0) ).

cnf(cls_Divides_ODIVISION__BY__ZERO__DIV_0,axiom,
    c_div(X1,c_0,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_ODIVISION__BY__ZERO__DIV_0) ).

cnf(cls_IntDiv_Ozmod__1_0,axiom,
    c_Divides_Oop_Amod(X1,c_1,tc_IntDef_Oint) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozmod__1_0) ).

cnf(cls_Nat_Omult__0__right_0,axiom,
    c_times(X1,c_0,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Omult__0__right_0) ).

cnf(cls_List_ONil__is__append__conv_2,axiom,
    c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_ONil__is__append__conv_2) ).

cnf(cls_Numeral_Obin__rel__simps__11_0,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__11_0) ).

cnf(cls_IntArith_Oabs__minus__one_0,axiom,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntArith_Oabs__minus__one_0) ).

cnf(cls_NatSimprocs_Oequation__minus__iff__1_1,axiom,
    ( c_uminus(c_uminus(c_1,X1),X1) = c_1
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oequation__minus__iff__1_1) ).

cnf(cls_NatSimprocs_Oequation__minus__iff__1_0,axiom,
    ( X2 = c_uminus(c_1,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatSimprocs_Oequation__minus__iff__1_0) ).

cnf(cls_Nat_Oless__one_1,axiom,
    c_less(c_0,c_1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oless__one_1) ).

cnf(cls_Nat_Ole__0__eq_1,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Ole__0__eq_1) ).

cnf(cls_IntDiv_Ozdvd__0__left_1,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDiv_Ozdvd__0__left_1) ).

cnf(cls_Divides_Odvd__0__left__iff_1,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Divides_Odvd__0__left__iff_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0) ).

cnf(cls_Nat_Oadd__is__0_2,axiom,
    c_plus(c_0,c_0,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oadd__is__0_2) ).

cnf(cls_Public_OpriEK__noteq__shrK_0,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,X1)) != c_Public_OshrK(X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpriEK__noteq__shrK_0) ).

cnf(cls_OrderedGroup_Ominus__minus_0,axiom,
    ( c_uminus(c_uminus(X2,X1),X1) = X2
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__minus_0) ).

cnf(cls_Public_OpublicKey__inject_0,axiom,
    ( X1 = X3
    | c_Public_OpublicKey(X1,X2) != c_Public_OpublicKey(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpublicKey__inject_0) ).

cnf(cls_Event_Oevent_Oinject__3_0,axiom,
    ( X1 = X3
    | c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_ONotes(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Oinject__3_0) ).

cnf(cls_Event_Oevent_Oinject__2_0,axiom,
    ( X1 = X3
    | c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Oinject__2_0) ).

cnf(cls_Message_Omsg_Oinject__7_0,axiom,
    ( X1 = X3
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__7_0) ).

cnf(cls_Message_Omsg_Oinject__6_0,axiom,
    ( X1 = X3
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__6_0) ).

cnf(cls_List_Ochar_Oinject_0,axiom,
    ( X1 = X3
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ochar_Oinject_0) ).

cnf(cls_List_Orev__is__rev__conv_0,axiom,
    ( X1 = X3
    | c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev__is__rev__conv_0) ).

cnf(cls_Datatype_Ooption_Oinject_0,axiom,
    ( X1 = X3
    | c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_OSome(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ooption_Oinject_0) ).

cnf(cls_Public_OpublicKey__inject_1,axiom,
    ( X2 = X4
    | c_Public_OpublicKey(X1,X2) != c_Public_OpublicKey(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpublicKey__inject_1) ).

cnf(cls_Event_Oevent_Oinject__3_1,axiom,
    ( X2 = X4
    | c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_ONotes(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Oinject__3_1) ).

cnf(cls_Event_Oevent_Oinject__2_1,axiom,
    ( X2 = X4
    | c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Oinject__2_1) ).

cnf(cls_Message_Omsg_Oinject__7_1,axiom,
    ( X2 = X4
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__7_1) ).

cnf(cls_Message_Omsg_Oinject__6_1,axiom,
    ( X2 = X4
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__6_1) ).

cnf(cls_List_Ochar_Oinject_1,axiom,
    ( X2 = X4
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ochar_Oinject_1) ).

cnf(cls_Datatype_Ooption_Osize__2_0,axiom,
    c_Nat_Osize(c_Datatype_Ooption_OSome(X1,X2),tc_Datatype_Ooption(X2)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ooption_Osize__2_0) ).

cnf(cls_Numeral_Obin__succ__1_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__succ(X1),c_Numeral_Obit_OB0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__succ__1_0) ).

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_Numeral_Obin__rel__simps__2_0,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__2_0) ).

cnf(cls_Event_Oevent_Odistinct__6_0,axiom,
    c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Odistinct__6_0) ).

cnf(cls_Event_Oevent_Odistinct__5_0,axiom,
    c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Odistinct__5_0) ).

cnf(cls_Datatype_Onot__Some__eq_0,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Onot__Some__eq_0) ).

cnf(cls_Datatype_Onot__None__eq_0,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Onot__None__eq_0) ).

cnf(cls_Numeral_Onumeral__1__eq__1_0,axiom,
    ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Onumeral__1__eq__1_0) ).

cnf(cls_IntDef_Oof__int__int__eq_0,axiom,
    ( c_IntDef_Oof__int(c_IntDef_Oint(X2),X1) = c_NatArith_Oof__nat(X2,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__int__eq_0) ).

cnf(cls_List_Orev__rev__ident_0,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev__rev__ident_0) ).

cnf(cls_Datatype_Othe_Osimps_0,axiom,
    c_Datatype_Othe(c_Datatype_Ooption_OSome(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Othe_Osimps_0) ).

cnf(cls_Set_OUnion__Pow__eq_0,axiom,
    c_Union(c_Pow(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__Pow__eq_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_Numeral_Obin__succ__0_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(X1,c_Numeral_Obit_OB1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__succ__0_0) ).

cnf(cls_NatBin_Onat__number__of_0,axiom,
    c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) = c_Numeral_Onumber__of(X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Onat__number__of_0) ).

cnf(cls_IntDef_Onat__zminus__int_0,axiom,
    c_IntDef_Onat(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onat__zminus__int_0) ).

cnf(cls_List_Odistinct__upt_0,axiom,
    c_List_Odistinct(c_List_Oupt(X1,X2),tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct__upt_0) ).

cnf(cls_Event_Oevent_Osize__3_0,axiom,
    c_Nat_Osize(c_Event_Oevent_ONotes(X1,X2),tc_Event_Oevent) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Osize__3_0) ).

cnf(cls_Event_Oevent_Osize__2_0,axiom,
    c_Nat_Osize(c_Event_Oevent_OGets(X1,X2),tc_Event_Oevent) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Event_Oevent_Osize__2_0) ).

cnf(cls_List_Ochar_Osize_0,axiom,
    c_Nat_Osize(c_List_Ochar_OChar(X1,X2),tc_List_Ochar) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Ochar_Osize_0) ).

cnf(cls_Ring__and__Field_Oinverse__eq__1__iff_0,axiom,
    ( X2 = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(X2,X1) != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__eq__1__iff_0) ).

cnf(cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_0,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_0) ).

cnf(cls_IntDef_Onegative__eq__positive_0,axiom,
    ( X1 = c_0
    | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onegative__eq__positive_0) ).

cnf(cls_IntDef_Onegative__eq__positive_1,axiom,
    ( X2 = c_0
    | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onegative__eq__positive_1) ).

cnf(cls_List_Oconcat__eq__Nil__conv_2,axiom,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_Main_Oconcat__eq__Nil__conv__1(X1,X2) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oconcat__eq__Nil__conv_2) ).

cnf(cls_Set_OInter__UNIV__conv__1_2,axiom,
    ( c_Inter(X1,X2) = c_UNIV
    | c_Main_OInter__UNIV__conv__1__1(X1,X2) != c_UNIV ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__UNIV__conv__1_2) ).

cnf(cls_Set_OUnion__empty__conv_2,axiom,
    ( c_Union(X1,X2) = c_emptyset
    | c_Main_OUnion__empty__conv__1(X1,X2) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__empty__conv_2) ).

cnf(cls_Set_OInter__UNIV__conv__2_2,axiom,
    ( c_UNIV = c_Inter(X1,X2)
    | c_Main_OInter__UNIV__conv__2__1(X1,X2) != c_UNIV ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__UNIV__conv__2_2) ).

cnf(cls_List_ONil__eq__concat__conv_2,axiom,
    ( c_List_Olist_ONil = c_List_Oconcat(X1,X2)
    | c_Main_ONil__eq__concat__conv__1(X1,X2) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_ONil__eq__concat__conv_2) ).

cnf(cls_Set_Oempty__Union__conv_2,axiom,
    ( c_emptyset = c_Union(X1,X2)
    | c_Main_Oempty__Union__conv__1(X1,X2) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__Union__conv_2) ).

cnf(cls_SetInterval_Ocard__lessThan_0,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OlessThan(X1,tc_nat),tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__lessThan_0) ).

cnf(cls_List_Olength__0__conv_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__0__conv_0) ).

cnf(cls_NatBin_Onat__numeral__1__eq__1_0,axiom,
    c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) = c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Onat__numeral__1__eq__1_0) ).

cnf(cls_Numeral_Obin__arith__extra__simps__3_0,axiom,
    ( c_uminus(c_1,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__arith__extra__simps__3_0) ).

cnf(cls_IntDef_Oof__int__0__eq__iff_0,axiom,
    ( c_0 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_0 != c_IntDef_Oof__int(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__0__eq__iff_0) ).

cnf(cls_NatArith_Oof__nat__0__eq__iff_0,axiom,
    ( c_0 = X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_0 != c_NatArith_Oof__nat(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__0__eq__iff_0) ).

cnf(cls_OrderedGroup_Oneg__0__equal__iff__equal_0,axiom,
    ( c_0 = X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_0 != c_uminus(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__equal__iff__equal_0) ).

cnf(cls_IntDef_Oof__int__eq__0__iff_0,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_IntDef_Oof__int(X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__eq__0__iff_0) ).

cnf(cls_OrderedGroup_Oabs__eq__0_0,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_HOL_Oabs(X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__eq__0_0) ).

cnf(cls_NatArith_Oof__nat__eq__0__iff_0,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_NatArith_Oof__nat(X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__eq__0__iff_0) ).

cnf(cls_OrderedGroup_Oneg__equal__0__iff__equal_0,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__equal__0__iff__equal_0) ).

cnf(cls_OrderedGroup_Oabs__0__eq_0,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_0 != c_HOL_Oabs(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__0__eq_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_IntDef_Onot__neg__int_0,axiom,
    ~ c_IntDef_Oneg(c_IntDef_Oint(X1),tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onot__neg__int_0) ).

cnf(cls_Public_OshrK__neq__pubK_0,axiom,
    c_Public_OpublicKey(X1,X2) != c_Public_OshrK(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OshrK__neq__pubK_0) ).

cnf(cls_Public_OpubK__neq__shrK_0,axiom,
    c_Public_OshrK(X1) != c_Public_OpublicKey(X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OpubK__neq__shrK_0) ).

cnf(cls_Numeral_Obin__rel__simps__9_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__9_0) ).

cnf(cls_Numeral_Obin__rel__simps__8_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__8_0) ).

cnf(cls_Numeral_Obin__rel__simps__10_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ c_IntDef_Oiszero(c_1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__rel__simps__10_0) ).

cnf(cls_Ring__and__Field_Oinverse__eq__1__iff_1,axiom,
    ( c_HOL_Oinverse(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__eq__1__iff_1) ).

cnf(cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_1,axiom,
    ( c_HOL_Oinverse(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_1) ).

cnf(cls_Datatype_Oo2s__empty__eq_0,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | c_Datatype_Oo2s(X1,X2) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Oo2s__empty__eq_0) ).

cnf(cls_List_Orotate1__is__Nil__conv_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orotate1__is__Nil__conv_0) ).

cnf(cls_List_Orev__is__Nil__conv_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev__is__Nil__conv_0) ).

cnf(cls_List_Oset__empty_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__empty_0) ).

cnf(cls_List_Oremdups__eq__nil__iff_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremdups__eq__nil__iff_0) ).

cnf(cls_List_ONil__is__rev__conv_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Orev(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_ONil__is__rev__conv_0) ).

cnf(cls_List_Oremdups__eq__nil__right__iff_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Oremdups(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremdups__eq__nil__right__iff_0) ).

cnf(cls_List_Oset__empty2_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_emptyset != c_List_Oset(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__empty2_0) ).

cnf(cls_IntDef_Oabs__int__eq_0,axiom,
    c_HOL_Oabs(c_IntDef_Oint(X1),tc_IntDef_Oint) = c_IntDef_Oint(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oabs__int__eq_0) ).

cnf(cls_Datatype_Ooption_Odistinct__2_0,axiom,
    c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_ONone,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ooption_Odistinct__2_0) ).

cnf(cls_Datatype_Ooption_Odistinct__1_0,axiom,
    c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ooption_Odistinct__1_0) ).

cnf(cls_OrderedGroup_Opprt__0_0,axiom,
    ( c_OrderedGroup_Opprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Opprt__0_0) ).

cnf(cls_OrderedGroup_Onprt__0_0,axiom,
    ( c_OrderedGroup_Onprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__0_0) ).

cnf(cls_IntDef_Oof__int__1_0,axiom,
    ( c_IntDef_Oof__int(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__1_0) ).

cnf(cls_IntDef_Oof__int__eq__0__iff_1,axiom,
    ( c_IntDef_Oof__int(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__eq__0__iff_1) ).

cnf(cls_Ring__and__Field_Oabs__one_0,axiom,
    ( c_HOL_Oabs(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oabs__one_0) ).

cnf(cls_OrderedGroup_Oabs__eq__0_1,axiom,
    ( c_HOL_Oabs(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__eq__0_1) ).

cnf(cls_Numeral_Onumeral__0__eq__0_0,axiom,
    ( c_Numeral_Onumber__of(c_Numeral_OPls,X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Onumeral__0__eq__0_0) ).

cnf(cls_NatArith_Oof__nat__1_0,axiom,
    ( c_NatArith_Oof__nat(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__1_0) ).

cnf(cls_NatArith_Oof__nat__eq__0__iff_1,axiom,
    ( c_NatArith_Oof__nat(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__eq__0__iff_1) ).

cnf(cls_OrderedGroup_Oneg__equal__0__iff__equal_1,axiom,
    ( c_uminus(c_0,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__equal__0__iff__equal_1) ).

cnf(cls_IntDef_Oof__int__0__eq__iff_1,axiom,
    ( c_0 = c_IntDef_Oof__int(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oof__int__0__eq__iff_1) ).

cnf(cls_OrderedGroup_Oabs__0__eq_1,axiom,
    ( c_0 = c_HOL_Oabs(c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__0__eq_1) ).

cnf(cls_NatArith_Oof__nat__0__eq__iff_1,axiom,
    ( c_0 = c_NatArith_Oof__nat(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatArith_Oof__nat__0__eq__iff_1) ).

cnf(cls_OrderedGroup_Oneg__0__equal__iff__equal_1,axiom,
    ( c_0 = c_uminus(c_0,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__equal__iff__equal_1) ).

cnf(cls_Message_Omsg_Osize__2_0,axiom,
    c_Nat_Osize(c_Message_Omsg_ONumber(X1),tc_Message_Omsg) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Osize__2_0) ).

cnf(cls_Message_Omsg_Osize__3_0,axiom,
    c_Nat_Osize(c_Message_Omsg_ONonce(X1),tc_Message_Omsg) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Osize__3_0) ).

cnf(cls_Message_Omsg_Osize__4_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OKey(X1),tc_Message_Omsg) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Osize__4_0) ).

cnf(cls_Message_Omsg_Osize__1_0,axiom,
    c_Nat_Osize(c_Message_Omsg_OAgent(X1),tc_Message_Omsg) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Osize__1_0) ).

cnf(cls_Message_Oagent_Osize__2_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OFriend(X1),tc_Message_Oagent) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Osize__2_0) ).

cnf(cls_Datatype_Ooption_Osize__1_0,axiom,
    c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(X1)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ooption_Osize__1_0) ).

cnf(cls_List_Olength__0__conv_1,axiom,
    c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olength__0__conv_1) ).

cnf(cls_Set_OCompl__UNIV__eq_0,axiom,
    c_uminus(c_UNIV,tc_set(X1)) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__UNIV__eq_0) ).

cnf(cls_Set_OCompl__empty__eq_0,axiom,
    c_uminus(c_emptyset,tc_set(X1)) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__empty__eq_0) ).

cnf(cls_IntDef_Onegative__eq__positive_2,axiom,
    c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) = c_IntDef_Oint(c_0),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onegative__eq__positive_2) ).

cnf(cls_Parity_Oodd__one_0,axiom,
    ~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oodd__one_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_Public_OshrK__injective_0,axiom,
    ( X1 = X2
    | c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OshrK__injective_0) ).

cnf(cls_Message_Omsg_Oinject__2_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONumber(X1) != c_Message_Omsg_ONumber(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__2_0) ).

cnf(cls_Message_Omsg_Oinject__3_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__3_0) ).

cnf(cls_Message_Omsg_Oinject__4_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__4_0) ).

cnf(cls_Message_Omsg_Oinject__5_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__5_0) ).

cnf(cls_Message_Omsg_Oinject__1_0,axiom,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Omsg_Oinject__1_0) ).

cnf(cls_Message_OinvKey__eq_0,axiom,
    ( X1 = X2
    | c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OinvKey__eq_0) ).

cnf(cls_Message_Oagent_Oinject_0,axiom,
    ( X1 = X2
    | c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Oinject_0) ).

cnf(cls_IntDef_Oint__int__eq_0,axiom,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__int__eq_0) ).

cnf(cls_Message_Oanalz__idem_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__idem_0) ).

cnf(cls_Message_Oanalz__parts_0,axiom,
    c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__parts_0) ).

cnf(cls_Public_OinvKey__shrK_0,axiom,
    c_Message_OinvKey(c_Public_OshrK(X1)) = c_Public_OshrK(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_OinvKey__shrK_0) ).

cnf(cls_Message_Oparts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__analz_0) ).

cnf(cls_Message_Oparts__idem_0,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__idem_0) ).

cnf(cls_Binomial_Obinomial__n__n_0,axiom,
    c_Binomial_Obinomial(X1,X1) = c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Binomial_Obinomial__n__n_0) ).

cnf(cls_Numeral_Obin__succ__Pls_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__succ__Pls_0) ).

cnf(cls_Numeral_Obin__add__Pls_0,axiom,
    c_Numeral_Obin__add(c_Numeral_OPls,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__add__Pls_0) ).

cnf(cls_Numeral_Obin__add__Pls__right_0,axiom,
    c_Numeral_Obin__add(X1,c_Numeral_OPls) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__add__Pls__right_0) ).

cnf(cls_Finite__Set_Oof__nat__id_0,axiom,
    c_NatArith_Oof__nat(X1,tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Oof__nat__id_0) ).

cnf(cls_List_Onull_Osimps__1_0,axiom,
    c_List_Onull(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onull_Osimps__1_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_Odistinct_Osimps__1_0,axiom,
    c_List_Odistinct(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odistinct_Osimps__1_0) ).

cnf(cls_Numeral_Obin__mult__Pls_0,axiom,
    c_Numeral_Obin__mult(c_Numeral_OPls,X1) = c_Numeral_OPls,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__mult__Pls_0) ).

cnf(cls_List_Otl_Osimps__1_0,axiom,
    c_List_Otl(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Otl_Osimps__1_0) ).

cnf(cls_List_Orotate1__is__Nil__conv_1,axiom,
    c_List_Orotate1(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orotate1__is__Nil__conv_1) ).

cnf(cls_List_Obutlast_Osimps__1_0,axiom,
    c_List_Obutlast(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Obutlast_Osimps__1_0) ).

cnf(cls_List_Orev__is__Nil__conv_1,axiom,
    c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Orev__is__Nil__conv_1) ).

cnf(cls_List_Oconcat_Osimps__1_0,axiom,
    c_List_Oconcat(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oconcat_Osimps__1_0) ).

cnf(cls_Set_OPow__UNIV_0,axiom,
    c_Pow(c_UNIV,X1) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OPow__UNIV_0) ).

cnf(cls_Finite__Set_Ocard__empty_0,axiom,
    c_Finite__Set_Ocard(c_emptyset,X1) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Ocard__empty_0) ).

cnf(cls_Datatype_Oo2s__empty__eq_1,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_ONone,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Oo2s__empty__eq_1) ).

cnf(cls_Transitive__Closure_Otrancl__empty_0,axiom,
    c_Transitive__Closure_Otrancl(c_emptyset,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Transitive__Closure_Otrancl__empty_0) ).

cnf(cls_Set_OInter__UNIV_0,axiom,
    c_Inter(c_UNIV,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__UNIV_0) ).

cnf(cls_Set_OInter__empty_0,axiom,
    c_Inter(c_emptyset,X1) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OInter__empty_0) ).

cnf(cls_Relation_Odiag__empty_0,axiom,
    c_Relation_Odiag(c_emptyset,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Relation_Odiag__empty_0) ).

cnf(cls_List_Olists__UNIV_0,axiom,
    c_List_Olists(c_UNIV,X1) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Olists__UNIV_0) ).

cnf(cls_List_Oset__empty_1,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__empty_1) ).

cnf(cls_List_Oremdups__eq__nil__iff_1,axiom,
    c_List_Oremdups(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremdups__eq__nil__iff_1) ).

cnf(cls_Set_OUnion__UNIV_0,axiom,
    c_Union(c_UNIV,X1) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__UNIV_0) ).

cnf(cls_Set_OUnion__empty_0,axiom,
    c_Union(c_emptyset,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__empty_0) ).

cnf(cls_List_Oupt__eq__Nil__conv_1,axiom,
    c_List_Oupt(X1,c_0) = c_List_Olist_ONil,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oupt__eq__Nil__conv_1) ).

cnf(cls_Binomial_Obinomial__n__0_0,axiom,
    c_Binomial_Obinomial(X1,c_0) = c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Binomial_Obinomial__n__0_0) ).

cnf(cls_List_ONil__is__rev__conv_1,axiom,
    c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_ONil__is__rev__conv_1) ).

cnf(cls_List_Oremdups__eq__nil__right__iff_1,axiom,
    c_List_Olist_ONil = c_List_Oremdups(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oremdups__eq__nil__right__iff_1) ).

cnf(cls_List_Oset__empty2_1,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__empty2_1) ).

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_Parity_Oeven__zero_0,axiom,
    c_Parity_Oeven(c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__zero_0) ).

cnf(cls_Parity_Oeven__nat__zero_0,axiom,
    c_Parity_Oeven(c_0,tc_nat),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Parity_Oeven__nat__zero_0) ).

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(cls_SetInterval_OatLeast__0_0,axiom,
    c_SetInterval_OatLeast(c_0,tc_nat) = c_UNIV,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeast__0_0) ).

cnf(cls_Numeral_OPls__0__eq_0,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) = c_Numeral_OPls,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_OPls__0__eq_0) ).

cnf(cls_Numeral_OMin__1__eq_0,axiom,
    c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) = c_Numeral_OMin,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_OMin__1__eq_0) ).

cnf(cls_NatBin_Onat__numeral__0__eq__0_0,axiom,
    c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Onat__numeral__0__eq__0_0) ).

cnf(cls_SetInterval_OlessThan__0_0,axiom,
    c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OlessThan__0_0) ).

cnf(cls_Public_Okeymode_Osize__2_0,axiom,
    c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Okeymode_Osize__2_0) ).

cnf(cls_Public_Okeymode_Osize__1_0,axiom,
    c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Okeymode_Osize__1_0) ).

cnf(cls_Message_Oagent_Osize__3_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Osize__3_0) ).

cnf(cls_Message_Oagent_Osize__1_0,axiom,
    c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Osize__1_0) ).

cnf(cls_List_Onibble_Osize__9_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__9_0) ).

cnf(cls_List_Onibble_Osize__8_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__8_0) ).

cnf(cls_List_Onibble_Osize__7_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__7_0) ).

cnf(cls_List_Onibble_Osize__6_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__6_0) ).

cnf(cls_List_Onibble_Osize__5_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__5_0) ).

cnf(cls_List_Onibble_Osize__4_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__4_0) ).

cnf(cls_List_Onibble_Osize__3_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__3_0) ).

cnf(cls_List_Onibble_Osize__2_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__2_0) ).

cnf(cls_List_Onibble_Osize__1_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__1_0) ).

cnf(cls_List_Onibble_Osize__16_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__16_0) ).

cnf(cls_List_Onibble_Osize__15_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__15_0) ).

cnf(cls_List_Onibble_Osize__14_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__14_0) ).

cnf(cls_List_Onibble_Osize__13_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__13_0) ).

cnf(cls_List_Onibble_Osize__12_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__12_0) ).

cnf(cls_List_Onibble_Osize__11_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__11_0) ).

cnf(cls_List_Onibble_Osize__10_0,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__10_0) ).

cnf(cls_Numeral_Obit_Osize__1_0,axiom,
    c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Osize__1_0) ).

cnf(cls_Numeral_Obit_Osize__2_0,axiom,
    c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Osize__2_0) ).

cnf(cls_Extraction_Osumbool_Osize__2_0,axiom,
    c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Extraction_Osumbool_Osize__2_0) ).

cnf(cls_Extraction_Osumbool_Osize__1_0,axiom,
    c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Extraction_Osumbool_Osize__1_0) ).

cnf(cls_Datatype_Ounit_Osize_0,axiom,
    c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ounit_Osize_0) ).

cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
    c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).

cnf(cls_IntDef_Onat__int_0,axiom,
    c_IntDef_Onat(c_IntDef_Oint(X1)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onat__int_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_IntDef_Oint__eq__0__conv_0,axiom,
    ( X1 = c_0
    | c_IntDef_Oint(X1) != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__eq__0__conv_0) ).

cnf(cls_Ring__and__Field_Oone__neq__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | c_1 != c_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oone__neq__zero_0) ).

cnf(cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | c_0 != c_1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).

cnf(cls_Message_Oagent_Odistinct__5_0,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Odistinct__5_0) ).

cnf(cls_Message_Oagent_Odistinct__2_0,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Odistinct__2_0) ).

cnf(cls_Message_Oagent_Odistinct__6_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Odistinct__6_0) ).

cnf(cls_Message_Oagent_Odistinct__1_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Odistinct__1_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_Oanalz__empty_0,axiom,
    c_Message_Oanalz(c_emptyset) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oanalz__empty_0) ).

cnf(cls_Message_OkeysFor__empty_0,axiom,
    c_Message_OkeysFor(c_emptyset) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OkeysFor__empty_0) ).

cnf(cls_Message_Oparts__empty_0,axiom,
    c_Message_Oparts(c_emptyset) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oparts__empty_0) ).

cnf(cls_Numeral_Obin__succ__Min_0,axiom,
    c_Numeral_Obin__succ(c_Numeral_OMin) = c_Numeral_OPls,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obin__succ__Min_0) ).

cnf(cls_IntDef_Onat__zero_0,axiom,
    c_IntDef_Onat(c_0) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Onat__zero_0) ).

cnf(cls_IntDef_Oint__1_0,axiom,
    c_IntDef_Oint(c_1) = c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__1_0) ).

cnf(cls_IntDef_Oint__eq__0__conv_1,axiom,
    c_IntDef_Oint(c_0) = c_0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__eq__0__conv_1) ).

cnf(cls_Public_Okeymode_Odistinct__2_0,axiom,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Okeymode_Odistinct__2_0) ).

cnf(cls_Public_Okeymode_Odistinct__1_0,axiom,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-3.ax',cls_Public_Okeymode_Odistinct__1_0) ).

cnf(cls_Message_Oagent_Odistinct__4_0,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Odistinct__4_0) ).

cnf(cls_Message_Oagent_Odistinct__3_0,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oagent_Odistinct__3_0) ).

cnf(cls_Numeral_Obit_Odistinct__2_0,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Odistinct__2_0) ).

cnf(cls_Numeral_Obit_Odistinct__1_0,axiom,
    c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Odistinct__1_0) ).

cnf(cls_Extraction_Osumbool_Odistinct__2_0,axiom,
    c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Extraction_Osumbool_Odistinct__2_0) ).

cnf(cls_Extraction_Osumbool_Odistinct__1_0,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Extraction_Osumbool_Odistinct__1_0) ).

cnf(cls_Set_OUNIV__not__empty_0,axiom,
    c_UNIV != c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUNIV__not__empty_0) ).

cnf(cls_IntDef_Oint__0__neq__1_0,axiom,
    c_0 != c_1,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_IntDef_Oint__0__neq__1_0) ).

cnf(i_0_2966,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_1 ).

cnf(i_0_2967,axiom,
    c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_Transitive__Closure_Otrancl__reflcl_0 ).

cnf(i_0_2968,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_1 ).

cnf(i_0_2969,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_2 ).

cnf(i_0_2970,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_2 ).

cnf(i_0_2971,axiom,
    c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_Transitive__Closure_Ortrancl__idemp__self__comp_0 ).

cnf(i_0_2972,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OScons(X2,X3,X4,X5),X4,X5) = c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(X1,X2,X4,X5),c_Datatype__Universe_Ontrunc(X1,X3,X4,X5),X4,X5),
    cls_Datatype__Universe_Ontrunc__Scons_0 ).

cnf(i_0_2973,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
    cls_SetInterval_Ocard__atMost_0 ).

cnf(i_0_2974,axiom,
    c_div(c_Suc(c_Suc(c_Suc(X1))),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat),
    cls_NatSimprocs_OSuc__div__eq__add3__div__number__of_0 ).

cnf(i_0_2975,axiom,
    c_Divides_Oop_Amod(c_Suc(c_Suc(c_Suc(X1))),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat),
    cls_NatSimprocs_OSuc__mod__eq__add3__mod__number__of_0 ).

cnf(i_0_2976,axiom,
    c_div(X1,c_Suc(c_Suc(c_Suc(X2))),tc_nat) = c_div(X1,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),tc_nat),
    cls_NatSimprocs_Odiv__Suc__eq__div__add3_0 ).

cnf(i_0_2977,axiom,
    c_Divides_Oop_Amod(X1,c_Suc(c_Suc(c_Suc(X2))),tc_nat) = c_Divides_Oop_Amod(X1,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),tc_nat),
    cls_NatSimprocs_Omod__Suc__eq__mod__add3_0 ).

cnf(i_0_2978,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 ).

cnf(i_0_2979,axiom,
    c_Nat_Opower(X1,c_Suc(X2),tc_set(tc_prod(X3,X3))) = c_Relation_Orel__comp(X1,c_Nat_Opower(X1,X2,tc_set(tc_prod(X3,X3))),X3,X3,X3),
    cls_Relation__Power_Orelpow_Osimps__2_0 ).

cnf(i_0_2980,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(X1)),c_Datatype__Universe_OIn1(X2,X3,X4),X3,X4) = c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Suc(X1),X2,X3,X4),X3,X4),
    cls_Datatype__Universe_Ontrunc__In1_0 ).

cnf(i_0_2981,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_Suc(X1)),c_Datatype__Universe_OIn0(X2,X3,X4),X3,X4) = c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Suc(X1),X2,X3,X4),X3,X4),
    cls_Datatype__Universe_Ontrunc__In0_0 ).

cnf(i_0_2982,axiom,
    c_div(c_Suc(c_Suc(X1)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_div(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)),
    cls_NatSimprocs_Odiv2__Suc__Suc_0 ).

cnf(i_0_2983,axiom,
    c_List_Otake(X1,c_append(X2,X3,X4),X4) = c_append(c_List_Otake(X1,X2,X4),c_List_Otake(c_minus(X1,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
    cls_List_Otake__append_0 ).

cnf(i_0_2984,axiom,
    c_List_Osublist(X1,c_SetInterval_OlessThan(X2,tc_nat),X3) = c_List_Otake(X2,X1,X3),
    cls_List_Osublist__upt__eq__take_0 ).

cnf(i_0_2985,axiom,
    c_Message_Oanalz(c_insert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_OHPair(X1,X2),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    cls_Message_Oanalz__insert__HPair_0 ).

cnf(i_0_2986,axiom,
    c_Message_OHPair(X1,X2) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),
    cls_Message_OHPair__eq__MPair_2 ).

cnf(i_0_2987,axiom,
    c_Message_Oparts(c_insert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_OHPair(X1,X2),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    cls_Message_Oparts__insert__HPair_0 ).

cnf(i_0_2988,axiom,
    c_inter(c_insert(X1,X2,X3),c_insert(X1,X4,X3),X3) = c_insert(X1,c_inter(X2,X4,X3),X3),
    cls_Set_Oinsert__inter__insert_0 ).

cnf(i_0_2989,axiom,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2) = c_inter(X1,X3,X2),
    cls_Relation_OImage__diag_0 ).

cnf(i_0_2990,axiom,
    ( c_inter(X2,X4,X3) = c_emptyset
    | c_inter(c_insert(X1,X2,X3),X4,X3) != c_emptyset ),
    cls_Set_Oinsert__disjoint__1_1 ).

cnf(i_0_2991,axiom,
    ( c_emptyset = c_inter(X2,X4,X3)
    | c_emptyset != c_inter(c_insert(X1,X2,X3),X4,X3) ),
    cls_Set_Oinsert__disjoint__2_1 ).

cnf(i_0_2992,axiom,
    ( c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4),X4)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    cls_List_Otake__Cons__number__of_1 ).

cnf(i_0_2993,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_Transitive__Closure_Ortrancl__idemp_0 ).

cnf(i_0_2994,axiom,
    ( c_lessequals(X1,X2,tc_set(X4))
    | ~ c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4)) ),
    cls_Set_OInt__subset__iff_0 ).

cnf(i_0_2995,axiom,
    ( c_lessequals(X1,X3,tc_set(X4))
    | ~ c_lessequals(X1,c_inter(X2,X3,X4),tc_set(X4)) ),
    cls_Set_OInt__subset__iff_1 ).

cnf(i_0_2996,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    cls_Set_OInt__iff_0 ).

cnf(i_0_2997,axiom,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    cls_Set_OInt__iff_1 ).

cnf(i_0_2998,axiom,
    ( c_in(X4,X2,X3)
    | c_inter(c_insert(X4,X1,X3),X2,X3) = c_emptyset
    | c_inter(X1,X2,X3) != c_emptyset ),
    cls_Set_Oinsert__disjoint__1_2 ).

cnf(i_0_2999,axiom,
    ( c_in(X4,X2,X3)
    | c_emptyset = c_inter(c_insert(X4,X1,X3),X2,X3)
    | c_emptyset != c_inter(X1,X2,X3) ),
    cls_Set_Oinsert__disjoint__2_2 ).

cnf(i_0_3000,axiom,
    c_Pow(c_inter(X1,X2,X3),X3) = c_inter(c_Pow(X1,X3),c_Pow(X2,X3),tc_set(X3)),
    cls_Set_OPow__Int__eq_0 ).

cnf(i_0_3001,axiom,
    c_List_Olists(c_inter(X1,X2,X3),X3) = c_inter(c_List_Olists(X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)),
    cls_List_Olists__Int__eq_0 ).

cnf(i_0_3002,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 ).

cnf(i_0_3003,axiom,
    ( c_inter(X1,X3,X4) = c_emptyset
    | c_inter(X1,c_insert(X2,X3,X4),X4) != c_emptyset ),
    cls_Set_Odisjoint__insert__1_1 ).

cnf(i_0_3004,axiom,
    ( c_emptyset = c_inter(X1,X3,X4)
    | c_emptyset != c_inter(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_Odisjoint__insert__2_1 ).

cnf(i_0_3005,axiom,
    ( c_in(X4,X1,X3)
    | c_inter(X1,c_insert(X4,X2,X3),X3) = c_emptyset
    | c_inter(X1,X2,X3) != c_emptyset ),
    cls_Set_Odisjoint__insert__1_2 ).

cnf(i_0_3006,axiom,
    ( c_in(X4,X1,X3)
    | c_emptyset = c_inter(X1,c_insert(X4,X2,X3),X3)
    | c_emptyset != c_inter(X1,X2,X3) ),
    cls_Set_Odisjoint__insert__2_2 ).

cnf(i_0_3007,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_inter(c_insert(X1,X4,X3),X2,X3) != c_emptyset ),
    cls_Set_Oinsert__disjoint__1_0 ).

cnf(i_0_3008,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_emptyset != c_inter(c_insert(X1,X4,X3),X2,X3) ),
    cls_Set_Oinsert__disjoint__2_0 ).

cnf(i_0_3009,axiom,
    ( c_minus(c_Suc(c_minus(X2,X1,tc_nat)),X3,tc_nat) = c_minus(c_Suc(X2),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_NatArith_Odiff__Suc__diff__eq2_0 ).

cnf(i_0_3010,axiom,
    ( c_minus(X3,c_Suc(c_minus(X2,X1,tc_nat)),tc_nat) = c_minus(c_plus(X3,X1,tc_nat),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_NatArith_Odiff__Suc__diff__eq1_0 ).

cnf(i_0_3011,axiom,
    ( c_lessequals(X1,c_inter(X4,X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,X4,tc_set(X3)) ),
    cls_Set_OInt__subset__iff_2 ).

cnf(i_0_3012,axiom,
    ( c_in(X1,c_inter(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    cls_Set_OInt__iff_2 ).

cnf(i_0_3013,axiom,
    c_Divides_Oop_Amod(c_Suc(c_Suc(X1)),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),
    cls_NatSimprocs_Omod2__Suc__Suc_0 ).

cnf(i_0_3014,axiom,
    ( c_List_Odistinct(c_append(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(X3,X2)
    | c_inter(c_List_Oset(X3,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
    cls_List_Odistinct__append_3 ).

cnf(i_0_3015,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 ).

cnf(i_0_3016,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 ).

cnf(i_0_3017,axiom,
    c_uminus(c_inter(X1,X2,X3),tc_set(X3)) = c_union(c_uminus(X1,tc_set(X3)),c_uminus(X2,tc_set(X3)),X3),
    cls_Set_OCompl__Int_0 ).

cnf(i_0_3018,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_inter(X2,c_insert(X1,X4,X3),X3) != c_emptyset ),
    cls_Set_Odisjoint__insert__1_0 ).

cnf(i_0_3019,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_emptyset != c_inter(X2,c_insert(X1,X4,X3),X3) ),
    cls_Set_Odisjoint__insert__2_0 ).

cnf(i_0_3020,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X2,X1),X1) ),
    cls_IntArith_Oarith__special__15_0 ).

cnf(i_0_3021,axiom,
    c_Numeral_Obin__mult(c_Numeral_OMin,X1) = c_Numeral_Obin__minus(X1),
    cls_Numeral_Obin__mult__Min_0 ).

cnf(i_0_3022,axiom,
    c_Transitive__Closure_Ortrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_Transitive__Closure_Ortrancl__reflcl_0 ).

cnf(i_0_3023,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_1,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1) ),
    cls_IntArith_Oarith__special__13_1 ).

cnf(i_0_3024,axiom,
    c_GCD_Ogcd(c_Pair(c_Suc(c_0),X1,tc_nat,tc_nat)) = c_1,
    cls_GCD_Ogcd__1__left_0 ).

cnf(i_0_3025,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_Suc(c_0),tc_nat,tc_nat)) = c_1,
    cls_GCD_Ogcd__1_0 ).

cnf(i_0_3026,axiom,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_OHPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_OHPair__synth__analz_2 ).

cnf(i_0_3027,axiom,
    ( c_Suc(c_minus(X1,c_Suc(c_0),tc_nat)) = X1
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Nat_OSuc__pred_0 ).

cnf(i_0_3028,axiom,
    ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDef_Onot__zle__0__negative_0 ).

cnf(i_0_3029,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1) ),
    cls_IntArith_Oarith__special__9_1 ).

cnf(i_0_3030,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_1,X1) ),
    cls_IntArith_Oarith__special__17_0 ).

cnf(i_0_3031,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 ).

cnf(i_0_3032,axiom,
    ( c_inter(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3) = c_emptyset
    | ~ c_List_Odistinct(c_append(X1,X2,X3),X3) ),
    cls_List_Odistinct__append_2 ).

cnf(i_0_3033,axiom,
    c_List_Otake(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4),
    cls_List_Otake__Suc__Cons_0 ).

cnf(i_0_3034,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    cls_Message_OHPair__synth__analz_0 ).

cnf(i_0_3035,axiom,
    c_minus(c_minus(c_Suc(X1),X2,tc_nat),c_Suc(X3),tc_nat) = c_minus(c_minus(X1,X2,tc_nat),X3,tc_nat),
    cls_Nat_OSuc__diff__diff_0 ).

cnf(i_0_3036,axiom,
    c_List_Otake(X1,c_List_Otake(X2,X3,X4),X4) = c_List_Otake(c_Orderings_Omin(X1,X2,tc_nat),X3,X4),
    cls_List_Otake__take_0 ).

cnf(i_0_3037,axiom,
    c_uminus(c_union(X1,X2,X3),tc_set(X3)) = c_inter(c_uminus(X1,tc_set(X3)),c_uminus(X2,tc_set(X3)),X3),
    cls_Set_OCompl__Un_0 ).

cnf(i_0_3038,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oless__nat__number__of_4 ).

cnf(i_0_3039,axiom,
    ( c_less(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1) ),
    cls_IntArith_Oarith__special__11_1 ).

cnf(i_0_3040,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_1,X1) ),
    cls_IntArith_Oarith__special__13_0 ).

cnf(i_0_3041,axiom,
    c_List_Oitrev(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Oitrev(X2,c_List_Olist_OCons(X1,X4,X3),X3),
    cls_List_Oitrev_Osimps__2_0 ).

cnf(i_0_3042,axiom,
    c_List_Oitrev(X1,X2,X3) = c_append(c_List_Orev(X1,X3),X2,X3),
    cls_List_Oitrev_0 ).

cnf(i_0_3043,axiom,
    ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    cls_Message_OHPair__synth__analz_1 ).

cnf(i_0_3044,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OAtom(X2,X3,X4),X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4),
    cls_Datatype__Universe_Ontrunc__Atom_0 ).

cnf(i_0_3045,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_ONumb(X2,X3,X4),X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4),
    cls_Datatype__Universe_Ontrunc__Numb_0 ).

cnf(i_0_3046,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(X1),c_Datatype__Universe_OLeaf(X2,X3,X4),X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4),
    cls_Datatype__Universe_Ontrunc__Leaf_0 ).

cnf(i_0_3047,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_Numeral_Onumber__of(X2,X1),X1) ),
    cls_Numeral_Obin__rel__simps__13_0 ).

cnf(i_0_3048,axiom,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_minus(X3,c_Numeral_Onumber__of(X4,X1),X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X4)),X1),X3,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Oadd__number__of__diff2_0 ).

cnf(i_0_3049,axiom,
    ( c_List_Otake(X2,c_List_Oupt(X1,X3),tc_nat) = c_List_Oupt(X1,c_plus(X1,X2,tc_nat))
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    cls_List_Otake__upt_0 ).

cnf(i_0_3050,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | c_lessequals(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_IntArith_Oarith__special__15_1 ).

cnf(i_0_3051,axiom,
    ( c_1 = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1) ),
    cls_IntArith_Oarith__special__7_1 ).

cnf(i_0_3052,axiom,
    c_Orderings_Omin(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Omin(X1,X2,tc_nat)),
    cls_Nat_Omin__Suc__Suc_0 ).

cnf(i_0_3053,axiom,
    c_Orderings_Omax(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Omax(X1,X2,tc_nat)),
    cls_Nat_Omax__Suc__Suc_0 ).

cnf(i_0_3054,axiom,
    c_Inter(c_insert(X1,X2,tc_set(X3)),X3) = c_inter(X1,c_Inter(X2,X3),X3),
    cls_Set_OInter__insert_0 ).

cnf(i_0_3055,axiom,
    ( X1 = c_UNIV
    | c_inter(X1,X2,X3) != c_UNIV ),
    cls_Set_OInt__UNIV_0 ).

cnf(i_0_3056,axiom,
    ( X2 = c_UNIV
    | c_inter(X1,X2,X3) != c_UNIV ),
    cls_Set_OInt__UNIV_1 ).

cnf(i_0_3057,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_9 ).

cnf(i_0_3058,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_12 ).

cnf(i_0_3059,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    cls_IntArith_Oarith__special__16_0 ).

cnf(i_0_3060,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3) = c_emptyset,
    cls_Datatype__Universe_Ontrunc__one__In1_0 ).

cnf(i_0_3061,axiom,
    c_Datatype__Universe_Ontrunc(c_Suc(c_0),c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3) = c_emptyset,
    cls_Datatype__Universe_Ontrunc__one__In0_0 ).

cnf(i_0_3062,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oless__nat__number__of_2 ).

cnf(i_0_3063,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1) ),
    cls_Numeral_Obin__rel__simps__6_1 ).

cnf(i_0_3064,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1) ),
    cls_IntArith_Oarith__special__14_0 ).

cnf(i_0_3065,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X2,X1),X1) ),
    cls_IntArith_Oarith__special__11_0 ).

cnf(i_0_3066,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_5 ).

cnf(i_0_3067,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_7 ).

cnf(i_0_3068,axiom,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat) ),
    cls_Nat_Oone__le__mult__iff_0 ).

cnf(i_0_3069,axiom,
    ( c_lessequals(c_1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(c_0),c_times(X1,X2,tc_nat),tc_nat) ),
    cls_Nat_Oone__le__mult__iff_1 ).

cnf(i_0_3070,axiom,
    c_Message_OkeysFor(c_insert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
    cls_Message_OkeysFor__insert__HPair_0 ).

cnf(i_0_3071,axiom,
    c_Binomial_Obinomial(c_Suc(X1),c_Suc(X2)) = c_plus(c_Binomial_Obinomial(X1,X2),c_Binomial_Obinomial(X1,c_Suc(X2)),tc_nat),
    cls_Binomial_Obinomial__Suc__Suc_0 ).

cnf(i_0_3072,axiom,
    c_inter(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_emptyset,
    cls_Set_ODiff__disjoint_0 ).

cnf(i_0_3073,axiom,
    c_Relation_ORange(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2) = c_UNIV,
    cls_Transitive__Closure_ORange__rtrancl_0 ).

cnf(i_0_3074,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2) = c_UNIV,
    cls_Transitive__Closure_ODomain__rtrancl_0 ).

cnf(i_0_3075,axiom,
    ( c_lessequals(c_Suc(c_0),c_times(X2,X1,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_1,X2,tc_nat) ),
    cls_Nat_Oone__le__mult__iff_2 ).

cnf(i_0_3076,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_3 ).

cnf(i_0_3077,axiom,
    ( c_less(c_minus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Nat_Odiff__Suc__less_0 ).

cnf(i_0_3078,axiom,
    c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1,tc_nat) = c_Suc(c_Suc(X1)),
    cls_NatSimprocs_Oadd__2__eq__Suc_0 ).

cnf(i_0_3079,axiom,
    c_plus(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Suc(c_Suc(X1)),
    cls_NatSimprocs_Oadd__2__eq__Suc_H_0 ).

cnf(i_0_3080,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1) ),
    cls_IntArith_Oarith__special__10_1 ).

cnf(i_0_3081,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_1 ),
    cls_IntArith_Oarith__special__9_0 ).

cnf(i_0_3082,axiom,
    c_minus(X1,c_uminus(X2,tc_set(X3)),tc_set(X3)) = c_inter(X1,X2,X3),
    cls_Set_ODiff__Compl_0 ).

cnf(i_0_3083,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    cls_NatBin_Oless__nat__number__of_1 ).

cnf(i_0_3084,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 ).

cnf(i_0_3085,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) ),
    cls_Numeral_Obin__rel__simps__6_0 ).

cnf(i_0_3086,axiom,
    c_plus(c_Suc(X1),X2,tc_nat) = c_Suc(c_plus(X1,X2,tc_nat)),
    cls_Nat_Oop_A_L_Oadd__Suc_0 ).

cnf(i_0_3087,axiom,
    c_plus(X1,c_Suc(X2),tc_nat) = c_Suc(c_plus(X1,X2,tc_nat)),
    cls_Nat_Oadd__Suc__right_0 ).

cnf(i_0_3088,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1) ),
    cls_IntArith_Oarith__special__12_1 ).

cnf(i_0_3089,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_1,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_IntArith_Oarith__special__17_1 ).

cnf(i_0_3090,axiom,
    ( c_in(X3,X1,X2)
    | c_Finite__Set_Ocard(c_insert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ocard__insert__disjoint_0 ).

cnf(i_0_3091,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Nat_OSuc__less__eq_0 ).

cnf(i_0_3092,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Nat_OSuc__le__mono_0 ).

cnf(i_0_3093,axiom,
    c_inter(c_uminus(X1,tc_set(X2)),X1,X2) = c_emptyset,
    cls_Set_OCompl__disjoint2_0 ).

cnf(i_0_3094,axiom,
    c_Nat_Osize(c_Message_Omsg_OMPair(X1,X2),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Nat_Osize(X2,tc_Message_Omsg),tc_nat),c_Suc(c_0),tc_nat),
    cls_Message_Omsg_Osize__6_0 ).

cnf(i_0_3095,axiom,
    ( c_List_Oupt(X1,c_Suc(X2)) = c_append(c_List_Oupt(X1,X2),c_List_Olist_OCons(X2,c_List_Olist_ONil,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_List_Oupt_Oupt__Suc_0 ).

cnf(i_0_3096,axiom,
    ( c_List_Onth(c_List_Otake(X2,X3,X4),X1,X4) = c_List_Onth(X3,X1,X4)
    | ~ c_less(X1,X2,tc_nat) ),
    cls_List_Onth__take_0 ).

cnf(i_0_3097,axiom,
    c_List_Otake(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_Orderings_Omin(X1,X2,tc_nat),X3,X4),
    cls_List_Otake__replicate_0 ).

cnf(i_0_3098,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    cls_NatBin_Oone__mod__nat__number__of_1 ).

cnf(i_0_3099,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_Numeral_Onumber__of(X3,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1) ),
    cls_Numeral_Obin__rel__simps__1_1 ).

cnf(i_0_3100,axiom,
    c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDef_Oneg__zminus__int_0 ).

cnf(i_0_3101,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1) ),
    cls_IntArith_Oarith__special__10_0 ).

cnf(i_0_3102,axiom,
    c_append(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
    cls_List_Oappend__take__drop__id_0 ).

cnf(i_0_3103,axiom,
    c_inter(X1,c_uminus(X1,tc_set(X2)),X2) = c_emptyset,
    cls_Set_OCompl__disjoint_0 ).

cnf(i_0_3104,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    cls_IntArith_Oarith__special__12_0 ).

cnf(i_0_3105,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Numeral_Obin__rel__simps__13_1 ).

cnf(i_0_3106,axiom,
    ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat) ),
    cls_Power_Onat__one__le__power_0 ).

cnf(i_0_3107,axiom,
    ( c_0 = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1) ),
    cls_IntArith_Oarith__special__6_1 ).

cnf(i_0_3108,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    cls_NatBin_Oless__nat__number__of_0 ).

cnf(i_0_3109,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_1 != c_Numeral_Onumber__of(X2,X1) ),
    cls_IntArith_Oarith__special__7_0 ).

cnf(i_0_3110,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1) ),
    cls_IntArith_Oarith__special__8_1 ).

cnf(i_0_3111,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    cls_NatBin_Oeq__nat__number__of_2 ).

cnf(i_0_3112,axiom,
    c_div(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)),
    cls_NatBin_Oone__div__nat__number__of_0 ).

cnf(i_0_3113,axiom,
    c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
    cls_List_Odrop__Suc__Cons_0 ).

cnf(i_0_3114,axiom,
    c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X3) = c_List_Onth(X2,X4,X3),
    cls_List_Onth__Cons__Suc_0 ).

cnf(i_0_3115,axiom,
    c_List_Oreplicate(c_Suc(X1),X2,X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
    cls_List_Oreplicate_Oreplicate__Suc_0 ).

cnf(i_0_3116,axiom,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oless__nat__number__of_3 ).

cnf(i_0_3117,axiom,
    c_Nat_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_plus(c_Nat_Osize(X2,tc_List_Olist(X3)),c_Suc(c_0),tc_nat),
    cls_List_Olist_Osize__2_0 ).

cnf(i_0_3118,axiom,
    c_times(c_Suc(X1),X2,tc_nat) = c_plus(X2,c_times(X1,X2,tc_nat),tc_nat),
    cls_Nat_Oop_A_K_Omult__Suc_0 ).

cnf(i_0_3119,axiom,
    c_Nat_Opower(X1,c_Suc(X2),tc_IntDef_Oint) = c_times(X1,c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDiv_Opower_Osimps__2_0 ).

cnf(i_0_3120,axiom,
    c_Nat_Opower(X1,c_Suc(X2),tc_nat) = c_times(X1,c_Nat_Opower(X1,X2,tc_nat),tc_nat),
    cls_Power_Opower_Osimps__2_0 ).

cnf(i_0_3121,axiom,
    c_times(X1,c_Suc(X2),tc_nat) = c_plus(X1,c_times(X1,X2,tc_nat),tc_nat),
    cls_Nat_Omult__Suc__right_0 ).

cnf(i_0_3122,axiom,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Nat_OSuc__less__eq_1 ).

cnf(i_0_3123,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_OSuc__le__mono_1 ).

cnf(i_0_3124,axiom,
    c_union(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId,tc_prod(X2,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_Transitive__Closure_Oreflcl__trancl_0 ).

cnf(i_0_3125,axiom,
    c_inter(X1,X1,X2) = X1,
    cls_Set_OInt__absorb_0 ).

cnf(i_0_3126,axiom,
    c_inter(X1,c_UNIV,X2) = X1,
    cls_Set_OInt__UNIV__right_0 ).

cnf(i_0_3127,axiom,
    c_inter(X1,c_emptyset,X2) = c_emptyset,
    cls_Set_OInt__empty__right_0 ).

cnf(i_0_3128,axiom,
    c_inter(c_UNIV,X1,X2) = X1,
    cls_Set_OInt__UNIV__left_0 ).

cnf(i_0_3129,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_IntArith_Oarith__special__16_1 ).

cnf(i_0_3130,axiom,
    c_inter(c_emptyset,X1,X2) = c_emptyset,
    cls_Set_OInt__empty__left_0 ).

cnf(i_0_3131,axiom,
    c_inter(c_UNIV,c_UNIV,X1) = c_UNIV,
    cls_Set_OInt__UNIV_2 ).

cnf(i_0_3132,axiom,
    ( c_times(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),X1),X3,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Ominus__number__of__mult_0 ).

cnf(i_0_3133,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_IntArith_Oarith__special__14_1 ).

cnf(i_0_3134,axiom,
    c_Nat_Osize(c_List_Otake(X1,X2,X3),tc_List_Olist(X3)) = c_Orderings_Omin(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    cls_List_Olength__take_0 ).

cnf(i_0_3135,axiom,
    ( c_minus(c_Numeral_Onumber__of(X2,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_IntArith_Oarith__special__5_0 ).

cnf(i_0_3136,axiom,
    ( c_List_Otake(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    cls_List_Otake__Cons__number__of_0 ).

cnf(i_0_3137,axiom,
    c_List_Orotate(c_Suc(X1),X2,X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
    cls_List_Orotate__Suc_0 ).

cnf(i_0_3138,axiom,
    ( c_less(c_1,X1,tc_IntDef_Oint)
    | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat) ),
    cls_IntArith_Oone__less__nat__eq_0 ).

cnf(i_0_3139,axiom,
    c_minus(c_Suc(X1),c_Suc(X2),tc_nat) = c_minus(X1,X2,tc_nat),
    cls_Nat_Odiff__Suc__Suc_0 ).

cnf(i_0_3140,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),tc_nat) = c_minus(c_Suc(X2),X1,tc_nat),
    cls_SetInterval_Ocard__atLeastAtMost_0 ).

cnf(i_0_3141,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat) = c_minus(X2,c_Suc(X1),tc_nat),
    cls_SetInterval_Ocard__greaterThanLessThan_0 ).

cnf(i_0_3142,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_Numeral_Onumber__of(X3,X1) ),
    cls_Numeral_Obin__rel__simps__1_0 ).

cnf(i_0_3143,axiom,
    ( X1 = X3
    | c_Message_OHPair(X1,X2) != c_Message_OHPair(X3,X4) ),
    cls_Message_OHPair__eq_0 ).

cnf(i_0_3144,axiom,
    ( X2 = X4
    | c_Message_OHPair(X1,X2) != c_Message_OHPair(X3,X4) ),
    cls_Message_OHPair__eq_1 ).

cnf(i_0_3145,axiom,
    ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Suc(c_0)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oone__mod__nat__number__of_0 ).

cnf(i_0_3146,axiom,
    ( c_List_Otake(X3,X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
    cls_List_Otake__all_0 ).

cnf(i_0_3147,axiom,
    ( X1 = c_Suc(c_0)
    | ~ c_Divides_Oop_Advd(X1,c_Suc(c_0),tc_nat) ),
    cls_Divides_Odvd__1__iff__1_0 ).

cnf(i_0_3148,axiom,
    ( c_minus(c_1,c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(X2)),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_IntArith_Oarith__special__4_0 ).

cnf(i_0_3149,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X2)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_0 != c_Numeral_Onumber__of(X2,X1) ),
    cls_IntArith_Oarith__special__6_0 ).

cnf(i_0_3150,axiom,
    ( c_less(c_Suc(c_0),c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_1,X1,tc_IntDef_Oint) ),
    cls_IntArith_Oone__less__nat__eq_1 ).

cnf(i_0_3151,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oless__0__number__of_1 ).

cnf(i_0_3152,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_0 ),
    cls_IntArith_Oarith__special__8_0 ).

cnf(i_0_3153,axiom,
    ( c_minus(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X3)),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Obin__arith__extra__simps__5_0 ).

cnf(i_0_3154,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    cls_NatBin_Oless__0__number__of_0 ).

cnf(i_0_3155,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_OinitState(X2),tc_Message_Omsg),
    cls_Public_OpriK__in__initState_0 ).

cnf(i_0_3156,axiom,
    c_Event_Oknows(X1,c_List_Olist_ONil) = c_Event_OinitState(X1),
    cls_Event_Oknows_Oknows__Nil_0 ).

cnf(i_0_3157,axiom,
    ( c_List_Odistinct(c_List_Otake(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Odistinct__take_0 ).

cnf(i_0_3158,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    cls_Nat_Oless__Suc0_0 ).

cnf(i_0_3159,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
    cls_Divides_Odvd__1__iff__1_1 ).

cnf(i_0_3160,axiom,
    c_Nat_Osize(c_Message_Omsg_OCrypt(X1,X2),tc_Message_Omsg) = c_plus(c_Nat_Osize(X2,tc_Message_Omsg),c_Suc(c_0),tc_nat),
    cls_Message_Omsg_Osize__7_0 ).

cnf(i_0_3161,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
    cls_Public_ONonce__notin__initState_0 ).

cnf(i_0_3162,axiom,
    c_SetInterval_OatLeastLessThan(X1,c_Suc(X1),tc_nat) = c_insert(X1,c_emptyset,tc_nat),
    cls_SetInterval_OatLeastLessThan__singleton_0 ).

cnf(i_0_3163,axiom,
    ( c_NatArith_Oof__nat(c_Suc(X2),X1) = c_plus(c_NatArith_Oof__nat(X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    cls_NatArith_Oof__nat_Oof__nat__Suc_0 ).

cnf(i_0_3164,axiom,
    c_Transitive__Closure_Ortrancl(c_emptyset,X1) = c_Relation_OId,
    cls_Transitive__Closure_Ortrancl__empty_0 ).

cnf(i_0_3165,axiom,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4))
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_OHPair(X3,X4) ),
    cls_Message_OMPair__eq__HPair_0 ).

cnf(i_0_3166,axiom,
    ( X3 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2))
    | c_Message_OHPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    cls_Message_OHPair__eq__MPair_0 ).

cnf(i_0_3167,axiom,
    c_Nat_Osize(c_Message_Omsg_OHash(X1),tc_Message_Omsg) = c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Suc(c_0),tc_nat),
    cls_Message_Omsg_Osize__5_0 ).

cnf(i_0_3168,axiom,
    ( ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Suc(X1),tc_nat) ),
    cls_Parity_Oeven__nat__Suc_0 ).

cnf(i_0_3169,axiom,
    ( c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_1
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_OSuc__nat__number__of_0 ).

cnf(i_0_3170,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_11 ).

cnf(i_0_3171,axiom,
    ( X4 = X2
    | c_Message_OHPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    cls_Message_OHPair__eq__MPair_1 ).

cnf(i_0_3172,axiom,
    ( X2 = X4
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_OHPair(X3,X4) ),
    cls_Message_OMPair__eq__HPair_1 ).

cnf(i_0_3173,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_List_Oupt(X1,c_Suc(X2)) = c_List_Olist_ONil ),
    cls_List_Oupt_Oupt__Suc_1 ).

cnf(i_0_3174,axiom,
    ( X1 = c_1
    | c_Suc(c_0) != c_times(X1,X2,tc_nat) ),
    cls_Nat_Oone__eq__mult__iff_0 ).

cnf(i_0_3175,axiom,
    ( X2 = c_1
    | c_Suc(c_0) != c_times(X1,X2,tc_nat) ),
    cls_Nat_Oone__eq__mult__iff_1 ).

cnf(i_0_3176,axiom,
    ( X1 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    cls_Nat_Omult__eq__1__iff_0 ).

cnf(i_0_3177,axiom,
    ( X2 = c_1
    | c_times(X1,X2,tc_nat) != c_Suc(c_0) ),
    cls_Nat_Omult__eq__1__iff_1 ).

cnf(i_0_3178,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Suc(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X1),tc_nat) ),
    cls_NatBin_OSuc__nat__number__of_1 ).

cnf(i_0_3179,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
    cls_Message_OHash_91X2_93_AY2_A_61_ACrypt_AK2_AX_H2_A_61_61_AFalse_0 ).

cnf(i_0_3180,axiom,
    c_Message_Omsg_OCrypt(X1,X2) != c_Message_OHPair(X3,X4),
    cls_Message_OHPair__neqs__6_0 ).

cnf(i_0_3181,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_OinitState(X3),tc_Message_Omsg),
    cls_Public_OpublicKey__in__initState_0 ).

cnf(i_0_3182,axiom,
    c_IntDef_Oint(c_Suc(X1)) = c_plus(c_1,c_IntDef_Oint(X1),tc_IntDef_Oint),
    cls_IntDef_Oint__Suc_0 ).

cnf(i_0_3183,axiom,
    ( c_Nat_Opower(c_0,c_Suc(X2),X1) = c_0
    | ~ class_Power_Orecpower(X1) ),
    cls_Power_Opower__0__Suc_0 ).

cnf(i_0_3184,axiom,
    ( X1 = c_0
    | X2 = c_List_Olist_ONil
    | c_List_Otake(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Otake__eq__Nil_0 ).

cnf(i_0_3185,axiom,
    c_less(X1,c_Suc(X1),tc_nat),
    cls_Nat_OlessI_0 ).

cnf(i_0_3186,axiom,
    c_less(c_0,c_Suc(X1),tc_nat),
    cls_Nat_Ozero__less__Suc_0 ).

cnf(i_0_3187,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_ONumber(X3),
    cls_Message_OHash_91X2_93_AY2_A_61_ANumber_AN2_A_61_61_AFalse_0 ).

cnf(i_0_3188,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_ONonce(X3),
    cls_Message_OHash_91X2_93_AY2_A_61_ANonce_AN2_A_61_61_AFalse_0 ).

cnf(i_0_3189,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_OKey(X3),
    cls_Message_OHash_91X2_93_AY2_A_61_AKey_AK2_A_61_61_AFalse_0 ).

cnf(i_0_3190,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_OHash(X3),
    cls_Message_OHash_91X2_93_AY2_A_61_AHash_AZ2_A_61_61_AFalse_0 ).

cnf(i_0_3191,axiom,
    c_Message_OHPair(X1,X2) != c_Message_Omsg_OAgent(X3),
    cls_Message_OHash_91X2_93_AY2_A_61_AAgent_AA2_A_61_61_AFalse_0 ).

cnf(i_0_3192,axiom,
    c_Message_Omsg_ONumber(X1) != c_Message_OHPair(X2,X3),
    cls_Message_OHPair__neqs__3_0 ).

cnf(i_0_3193,axiom,
    c_Message_Omsg_ONonce(X1) != c_Message_OHPair(X2,X3),
    cls_Message_OHPair__neqs__2_0 ).

cnf(i_0_3194,axiom,
    c_Message_Omsg_OKey(X1) != c_Message_OHPair(X2,X3),
    cls_Message_OHPair__neqs__4_0 ).

cnf(i_0_3195,axiom,
    c_Message_Omsg_OHash(X1) != c_Message_OHPair(X2,X3),
    cls_Message_OHPair__neqs__5_0 ).

cnf(i_0_3196,axiom,
    c_Message_Omsg_OAgent(X1) != c_Message_OHPair(X2,X3),
    cls_Message_OHPair__neqs__1_0 ).

cnf(i_0_3197,axiom,
    c_Binomial_Obinomial(c_Suc(X1),X1) = c_Suc(X1),
    cls_Binomial_Obinomial__Suc__n_0 ).

cnf(i_0_3198,axiom,
    c_Numeral_Obin__minus(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__pred(c_Numeral_Obin__minus(X1)),c_Numeral_Obit_OB1),
    cls_Numeral_Obin__minus__1_0 ).

cnf(i_0_3199,axiom,
    c_Numeral_Obin__add(X1,c_Numeral_OMin) = c_Numeral_Obin__pred(X1),
    cls_Numeral_Obin__add__Min__right_0 ).

cnf(i_0_3200,axiom,
    c_div(X1,c_Suc(c_0),tc_nat) = X1,
    cls_Divides_Odiv__1_0 ).

cnf(i_0_3201,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),X1,tc_nat),
    cls_Divides_Odvd__1__left_0 ).

cnf(i_0_3202,axiom,
    c_Divides_Oop_Amod(X1,c_Suc(c_0),tc_nat) = c_0,
    cls_Divides_Omod__1_0 ).

cnf(i_0_3203,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    cls_Nat_Oless__Suc0_1 ).

cnf(i_0_3204,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_Nat_OSuc__Suc__eq_0 ).

cnf(i_0_3205,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_Suc(X1),tc_nat) ),
    cls_Parity_Oeven__nat__Suc_1 ).

cnf(i_0_3206,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
    cls_Public_OshrK__in__initState_0 ).

cnf(i_0_3207,axiom,
    ( c_uminus(c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X2),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Obin__arith__extra__simps__2_0 ).

cnf(i_0_3208,axiom,
    c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
    cls_Nat_Oone__eq__mult__iff_2 ).

cnf(i_0_3209,axiom,
    c_times(c_1,c_1,tc_nat) = c_Suc(c_0),
    cls_Nat_Omult__eq__1__iff_2 ).

cnf(i_0_3210,axiom,
    c_Binomial_Obinomial(c_0,c_Suc(X1)) = c_0,
    cls_Binomial_Obinomial__0__Suc_0 ).

cnf(i_0_3211,axiom,
    c_List_Oitrev(c_List_Olist_ONil,X1,X2) = X1,
    cls_List_Oitrev_Osimps__1_0 ).

cnf(i_0_3212,axiom,
    c_Binomial_Obinomial(X1,c_Suc(c_0)) = X1,
    cls_Binomial_Obinomial__1_0 ).

cnf(i_0_3213,axiom,
    c_List_Otake(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    cls_List_Otake__eq__Nil_2 ).

cnf(i_0_3214,axiom,
    c_List_Otake(c_0,X1,X2) = c_List_Olist_ONil,
    cls_List_Otake__eq__Nil_1 ).

cnf(i_0_3215,axiom,
    c_Numeral_Obin__pred(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__pred(X1),c_Numeral_Obit_OB1),
    cls_Numeral_Obin__pred__0_0 ).

cnf(i_0_3216,axiom,
    c_Numeral_Obin__minus(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__minus(X1),c_Numeral_Obit_OB0),
    cls_Numeral_Obin__minus__0_0 ).

cnf(i_0_3217,axiom,
    c_Message_OkeysFor(c_Message_Oparts(c_Event_OinitState(X1))) = c_emptyset,
    cls_Public_OkeysFor__parts__initState_0 ).

cnf(i_0_3218,axiom,
    c_Suc(X1) != c_0,
    cls_Nat_OSuc__not__Zero_0 ).

cnf(i_0_3219,axiom,
    c_0 != c_Suc(X1),
    cls_Nat_OZero__not__Suc_0 ).

cnf(i_0_3220,axiom,
    c_Numeral_Obin__pred(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(X1,c_Numeral_Obit_OB0),
    cls_Numeral_Obin__pred__1_0 ).

cnf(i_0_3221,axiom,
    c_IntDef_Onat(c_1) = c_Suc(c_0),
    cls_IntArith_Onat__1_0 ).

cnf(i_0_3222,axiom,
    c_1 = c_Suc(c_0),
    cls_Nat_OOne__nat__def_0 ).

cnf(i_0_3223,axiom,
    c_Numeral_Obin__add(c_Numeral_OMin,X1) = c_Numeral_Obin__pred(X1),
    cls_Numeral_Obin__add__Min_0 ).

cnf(i_0_3224,axiom,
    c_Numeral_Obin__minus(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    cls_Numeral_Obin__minus__Min_0 ).

cnf(i_0_3225,axiom,
    c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
    cls_Numeral_Obin__pred__Min_0 ).

cnf(i_0_3226,axiom,
    c_Numeral_Obin__minus(c_Numeral_OPls) = c_Numeral_OPls,
    cls_Numeral_Obin__minus__Pls_0 ).

cnf(i_0_3227,axiom,
    c_Numeral_Obin__pred(c_Numeral_OPls) = c_Numeral_OMin,
    cls_Numeral_Obin__pred__Pls_0 ).

cnf(i_0_3228,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble8,X17) = X9,
    cls_List_Onibble_Orecs__9_0,
    [final] ).

cnf(i_0_3229,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble7,X17) = X8,
    cls_List_Onibble_Orecs__8_0,
    [final] ).

cnf(i_0_3230,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble6,X17) = X7,
    cls_List_Onibble_Orecs__7_0,
    [final] ).

cnf(i_0_3231,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble5,X17) = X6,
    cls_List_Onibble_Orecs__6_0,
    [final] ).

cnf(i_0_3232,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble4,X17) = X5,
    cls_List_Onibble_Orecs__5_0,
    [final] ).

cnf(i_0_3233,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble3,X17) = X4,
    cls_List_Onibble_Orecs__4_0,
    [final] ).

cnf(i_0_3234,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble2,X17) = X3,
    cls_List_Onibble_Orecs__3_0,
    [final] ).

cnf(i_0_3235,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble1,X17) = X2,
    cls_List_Onibble_Orecs__2_0,
    [final] ).

cnf(i_0_3236,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble0,X17) = X1,
    cls_List_Onibble_Orecs__1_0,
    [final] ).

cnf(i_0_3237,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleF,X17) = X16,
    cls_List_Onibble_Orecs__16_0,
    [final] ).

cnf(i_0_3238,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleE,X17) = X15,
    cls_List_Onibble_Orecs__15_0,
    [final] ).

cnf(i_0_3239,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleD,X17) = X14,
    cls_List_Onibble_Orecs__14_0,
    [final] ).

cnf(i_0_3240,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleC,X17) = X13,
    cls_List_Onibble_Orecs__13_0,
    [final] ).

cnf(i_0_3241,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleB,X17) = X12,
    cls_List_Onibble_Orecs__12_0,
    [final] ).

cnf(i_0_3242,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleA,X17) = X11,
    cls_List_Onibble_Orecs__11_0,
    [final] ).

cnf(i_0_3243,axiom,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble9,X17) = X10,
    cls_List_Onibble_Orecs__10_0,
    [final] ).

cnf(i_0_3244,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble8,X17) = X9,
    cls_List_Onibble_Ocases__9_0,
    [final] ).

cnf(i_0_3245,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble7,X17) = X8,
    cls_List_Onibble_Ocases__8_0,
    [final] ).

cnf(i_0_3246,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble6,X17) = X7,
    cls_List_Onibble_Ocases__7_0,
    [final] ).

cnf(i_0_3247,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble5,X17) = X6,
    cls_List_Onibble_Ocases__6_0,
    [final] ).

cnf(i_0_3248,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble4,X17) = X5,
    cls_List_Onibble_Ocases__5_0,
    [final] ).

cnf(i_0_3249,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble3,X17) = X4,
    cls_List_Onibble_Ocases__4_0,
    [final] ).

cnf(i_0_3250,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble2,X17) = X3,
    cls_List_Onibble_Ocases__3_0,
    [final] ).

cnf(i_0_3251,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble1,X17) = X2,
    cls_List_Onibble_Ocases__2_0,
    [final] ).

cnf(i_0_3252,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble0,X17) = X1,
    cls_List_Onibble_Ocases__1_0,
    [final] ).

cnf(i_0_3253,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleF,X17) = X16,
    cls_List_Onibble_Ocases__16_0,
    [final] ).

cnf(i_0_3254,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleE,X17) = X15,
    cls_List_Onibble_Ocases__15_0,
    [final] ).

cnf(i_0_3255,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleD,X17) = X14,
    cls_List_Onibble_Ocases__14_0,
    [final] ).

cnf(i_0_3256,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleC,X17) = X13,
    cls_List_Onibble_Ocases__13_0,
    [final] ).

cnf(i_0_3257,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleB,X17) = X12,
    cls_List_Onibble_Ocases__12_0,
    [final] ).

cnf(i_0_3258,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibbleA,X17) = X11,
    cls_List_Onibble_Ocases__11_0,
    [final] ).

cnf(i_0_3259,axiom,
    c_List_Onibble_Onibble__case(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble9,X17) = X10,
    cls_List_Onibble_Ocases__10_0,
    [final] ).

cnf(i_0_3260,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X3,X2,X4,X1)),c_Message_Omsg_ONonce(v_sko__2jj(X3,X2,X4,X1)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_Yahalom_OB__trusts__YM4__shrK_0,
    [final] ).

cnf(i_0_3261,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_3262,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_3263,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_3264,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_3265,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X6)
    | X5 = c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_sko__2VZ(X4,X1,X2,X5)),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(v_sko__2Va(X4,X1,X2,X5),c_Message_Omsg_ONonce(X2))))),v_sko__2Vb(X4,X1,X2,X5))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X6,tc_Event_Oevent)) ),
    cls_Yahalom_OKeyWithNonce__Says_1,
    [final] ).

cnf(i_0_3266,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_3267,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_3268,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_3269,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_3270,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_3271,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_3272,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_3273,axiom,
    ( X8 = X2
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_Ounique__session__keys_0,
    [final] ).

cnf(i_0_3274,axiom,
    ( X9 = X3
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_Ounique__session__keys_1,
    [final] ).

cnf(i_0_3275,axiom,
    ( X10 = X5
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_Ounique__session__keys_2,
    [final] ).

cnf(i_0_3276,axiom,
    ( X11 = X6
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_Ounique__session__keys_3,
    [final] ).

cnf(i_0_3277,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_3278,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_3279,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_3280,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_3281,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_3282,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_3283,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_3284,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_3285,axiom,
    c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_ONonce(X2))))),X6)),X7,tc_Event_Oevent)),
    cls_Yahalom_OKeyWithNonce__Says_2,
    [final] ).

cnf(i_0_3286,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_3287,axiom,
    ( c_plus(X1,X4,tc_nat) = c_plus(X3,X2,tc_nat)
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_nat,tc_nat),c_Pair(X3,X4,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    cls_IntDef_Ointrel__iff_0,
    [final] ).

cnf(i_0_3288,axiom,
    ( ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X4)),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OSays__Server__not__shrK_0,
    [final] ).

cnf(i_0_3289,axiom,
    ( c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_OnegDivAlg__eqn__number__of_1,
    [final] ).

cnf(i_0_3290,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_Yahalom_OA__trusts__YM3_0,
    [final] ).

cnf(i_0_3291,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_OposDivAlg__eqn__number__of_1,
    [final] ).

cnf(i_0_3292,axiom,
    ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OnegDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_OnegDivAlg__eqn__1__number__of_1,
    [final] ).

cnf(i_0_3293,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_3294,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_3295,axiom,
    ( c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_IntDiv_Oadjust(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_IntDiv_OposDivAlg(c_Pair(c_1,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)))
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_OposDivAlg__eqn__1__number__of_1,
    [final] ).

cnf(i_0_3296,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_3297,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_3298,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Odiv__neg__neg__number__of_0,
    [final] ).

cnf(i_0_3299,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OposDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Omod__neg__neg__number__of_0,
    [final] ).

cnf(i_0_3300,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Odiv__pos__neg__number__of_0,
    [final] ).

cnf(i_0_3301,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Omod__pos__neg__number__of_0,
    [final] ).

cnf(i_0_3302,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_3303,plain,
    ( ~ 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_Otrancl(c_union(X4,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_2966,c_0_2967]),
    [final] ).

cnf(i_0_3304,plain,
    ( ~ 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_Otrancl(c_union(X4,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_2968,c_0_2967]),
    [final] ).

cnf(i_0_3305,axiom,
    ( c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Odiv__pos__neg__1__number__of_0,
    [final] ).

cnf(i_0_3306,axiom,
    ( c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegateSnd(c_IntDiv_OnegDivAlg(c_Pair(c_uminus(c_1,tc_IntDef_Oint),c_uminus(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint))),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Omod__pos__neg__1__number__of_0,
    [final] ).

cnf(i_0_3307,axiom,
    ( c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_Olexord__cons__cons_1,
    [final] ).

cnf(i_0_3308,axiom,
    ( c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_OCons__in__lex_1,
    [final] ).

cnf(i_0_3309,axiom,
    c_in(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X1,X2,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))),
    cls_IntDef_Ointrel_A_96_96_A_123_Ix1_M_Ay1_J_125_A_58_AInteg_A_61_61_ATrue_0,
    [final] ).

cnf(i_0_3310,axiom,
    ( c_in(c_Pair(c_Pair(X1,X4,tc_nat,tc_nat),c_Pair(X3,X2,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_plus(X1,X2,tc_nat) != c_plus(X3,X4,tc_nat) ),
    cls_IntDef_Ointrel__iff_1,
    [final] ).

cnf(i_0_3311,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_3312,axiom,
    ( c_in(c_Pair(X2,X5,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | c_Nat_Osize(X2,tc_List_Olist(X3)) = c_Nat_Osize(X5,tc_List_Olist(X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_OCons__in__lex_3,
    [final] ).

cnf(i_0_3313,axiom,
    ( c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | X1 = X4
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_Olexord__cons__cons_0,
    [final] ).

cnf(i_0_3314,axiom,
    ( c_in(c_Pair(X1,X4,X3,X3),X6,tc_prod(X3,X3))
    | X1 = X4
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_OCons__in__lex_0,
    [final] ).

cnf(i_0_3315,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_3316,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_3317,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_3318,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X5,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_Olexord__cons__cons_3,
    [final] ).

cnf(i_0_3319,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X5,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X2,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_OCons__in__lex_5,
    [final] ).

cnf(i_0_3320,plain,
    ( 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_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    inference(rw,[status(thm)],[i_0_2969,c_0_2967]),
    [final] ).

cnf(i_0_3321,plain,
    ( 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_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    inference(rw,[status(thm)],[i_0_2970,c_0_2967]),
    [final] ).

cnf(i_0_3322,axiom,
    ( c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))
    | c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) != c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) ),
    cls_IntDef_Oequiv__intrel__iff_0,
    [final] ).

cnf(i_0_3323,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_3324,plain,
    c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),X2,X2,X2) = c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2971,c_0_2967]),c_0_2967]),c_0_2967]),
    [final] ).

cnf(i_0_3325,plain,
    c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Datatype__Universe_OScons(X2,X3,X4,X5),X4,X5) = c_Datatype__Universe_OScons(c_Datatype__Universe_Ontrunc(X1,X2,X4,X5),c_Datatype__Universe_Ontrunc(X1,X3,X4,X5),X4,X5),
    inference(rw,[status(thm)],[i_0_2972,c_0_2973]),
    [final] ).

cnf(i_0_3326,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_Nat_Osize(X5,tc_List_Olist(X3)) != c_Nat_Osize(X6,tc_List_Olist(X3)) ),
    cls_List_OCons__in__lex_4,
    [final] ).

cnf(i_0_3327,axiom,
    ( c_Relation_OImage(c_IntDef_Ointrel,c_insert(X1,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(X2,c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(X1,X2,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))) ),
    cls_IntDef_Oequiv__intrel__iff_1,
    [final] ).

cnf(i_0_3328,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_3329,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_3330,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_3331,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_3332,plain,
    c_div(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_div(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2974,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3333,plain,
    c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Divides_Oop_Amod(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2975,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3334,axiom,
    ( c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X6,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_List_Olexord__cons__cons_2,
    [final] ).

cnf(i_0_3335,plain,
    c_div(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_div(X1,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2976,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3336,plain,
    c_Divides_Oop_Amod(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = c_Divides_Oop_Amod(X1,c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB1),tc_nat),X2,tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2977,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3337,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_union(X4,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_2978,c_0_2967]),
    [final] ).

cnf(i_0_3338,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_0,
    [final] ).

cnf(i_0_3339,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_0,
    [final] ).

cnf(i_0_3340,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_3341,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_3342,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_0,
    [final] ).

cnf(i_0_3343,axiom,
    ( X1 = X4
    | c_Nat_Osize(X2,tc_List_Olist(X3)) = c_Nat_Osize(X5,tc_List_Olist(X3))
    | ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X6,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    cls_List_OCons__in__lex_2,
    [final] ).

cnf(i_0_3344,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_0,
    [final] ).

cnf(i_0_3345,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_1,
    [final] ).

cnf(i_0_3346,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_1,
    [final] ).

cnf(i_0_3347,axiom,
    ( c_List_Ozip(c_append(X5,X1,X2),c_append(X6,X3,X4),X2,X4) = c_append(c_List_Ozip(X5,X6,X2,X4),c_List_Ozip(X1,X3,X2,X4),tc_prod(X2,X4))
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
    | c_Nat_Osize(X5,tc_List_Olist(X2)) != c_Nat_Osize(X6,tc_List_Olist(X4)) ),
    cls_List_Ozip__append_0,
    [final] ).

cnf(i_0_3348,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_0,
    [final] ).

cnf(i_0_3349,plain,
    c_Nat_Opower(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_set(tc_prod(X3,X3))) = c_Relation_Orel__comp(X1,c_Nat_Opower(X1,X2,tc_set(tc_prod(X3,X3))),X3,X3,X3),
    inference(rw,[status(thm)],[i_0_2979,c_0_2973]),
    [final] ).

cnf(i_0_3350,axiom,
    c_Relation_ODomain(c_Datatype__Universe_Odsum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Datatype__Universe_Ousum(c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),
    cls_Datatype__Universe_ODomain__dsum_0,
    [final] ).

cnf(i_0_3351,axiom,
    c_Relation_ODomain(c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Datatype__Universe_Ouprod(c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),
    cls_Datatype__Universe_ODomain__dprod_0,
    [final] ).

cnf(i_0_3352,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_1,
    [final] ).

cnf(i_0_3353,axiom,
    ( c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_plus(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_OnegDivAlg__eqn__number__of_0,
    [final] ).

cnf(i_0_3354,axiom,
    ( c_div(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Odiv__neg__pos__number__of_0,
    [final] ).

cnf(i_0_3355,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Omod__neg__pos__number__of_0,
    [final] ).

cnf(i_0_3356,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Odiv__pos__pos__number__of_0,
    [final] ).

cnf(i_0_3357,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Omod__pos__pos__number__of_0,
    [final] ).

cnf(i_0_3358,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_3359,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_3360,axiom,
    c_List_Ozip(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X6),X3,X6) = c_List_Olist_OCons(c_Pair(X1,X4,X3,X6),c_List_Ozip(X2,X5,X3,X6),tc_prod(X3,X6)),
    cls_List_Ozip__Cons__Cons_0,
    [final] ).

cnf(i_0_3361,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_3362,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_3363,plain,
    c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),c_Datatype__Universe_OIn1(X2,X3,X4),X3,X4) = c_Datatype__Universe_OIn1(c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,X3,X4),X3,X4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2980,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3364,plain,
    c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),c_Datatype__Universe_OIn0(X2,X3,X4),X3,X4) = c_Datatype__Universe_OIn0(c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,X3,X4),X3,X4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2981,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3365,plain,
    c_div(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_div(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2982,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3366,axiom,
    ( c_IntDiv_OnegDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_OnegDivAlg__eqn__1__number__of_0,
    [final] ).

cnf(i_0_3367,axiom,
    ( ~ c_in(X1,c_List_Oset(X2,X3),X3)
    | c_Map_Omap__of(c_List_Ozip(X2,X4,X3,X5),X1,X3,X5) != c_Datatype_Ooption_ONone
    | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X5)) ),
    cls_Map_Omap__of__zip__is__None_0,
    [final] ).

cnf(i_0_3368,axiom,
    ( c_List_Onth(c_List_Ozip(X4,X2,X5,X3),X1,tc_prod(X5,X3)) = c_Pair(c_List_Onth(X4,X1,X5),c_List_Onth(X2,X1,X3),X5,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
    | ~ c_less(X1,c_Nat_Osize(X4,tc_List_Olist(X5)),tc_nat) ),
    cls_List_Onth__zip_0,
    [final] ).

cnf(i_0_3369,axiom,
    ( c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_fst(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Odiv__pos__pos__1__number__of_0,
    [final] ).

cnf(i_0_3370,axiom,
    ( c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_snd(c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Omod__pos__pos__1__number__of_0,
    [final] ).

cnf(i_0_3371,plain,
    c_List_Osublist(c_append(X2,X3,X4),c_SetInterval_OlessThan(X1,tc_nat),X4) = c_append(c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X4),c_List_Osublist(X3,c_SetInterval_OlessThan(c_minus(X1,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),tc_nat),X4),X4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2983,c_0_2984]),c_0_2984]),c_0_2984]),
    [final] ).

cnf(i_0_3372,plain,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2985,c_0_2986]),c_0_2986]),
    [final] ).

cnf(i_0_3373,plain,
    c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_insert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2987,c_0_2986]),c_0_2986]),
    [final] ).

cnf(i_0_3374,axiom,
    c_Relation_Orel__comp(c_Relation_OId,X1,X2,X2,X3) = X1,
    cls_Relation_OId__O__R_0,
    [final] ).

cnf(i_0_3375,axiom,
    c_Relation_Orel__comp(X1,c_Relation_OId,X2,X3,X2) = X1,
    cls_Relation_OR__O__Id_0,
    [final] ).

cnf(i_0_3376,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_2,
    [final] ).

cnf(i_0_3377,plain,
    c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X2,X3),X3),c_insert(X1,X4,X3),X3,X3) = c_insert(X1,c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2988,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3378,axiom,
    c_GCD_Ogcd(c_Pair(c_plus(X1,X2,tc_nat),X2,tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),
    cls_GCD_Ogcd__add1_0,
    [final] ).

cnf(i_0_3379,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_plus(X1,X2,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),
    cls_GCD_Ogcd__add2_0,
    [final] ).

cnf(i_0_3380,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_plus(X2,X1,tc_nat),tc_nat,tc_nat)) = c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),
    cls_GCD_Ogcd__add2_H_0,
    [final] ).

cnf(i_0_3381,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_3,
    [final] ).

cnf(i_0_3382,axiom,
    c_List_Ozip(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X5,X6),X3,X6) = c_List_Oreplicate(c_Orderings_Omin(X1,X4,tc_nat),c_Pair(X2,X5,X3,X6),tc_prod(X3,X6)),
    cls_List_Ozip__replicate_0,
    [final] ).

cnf(i_0_3383,axiom,
    ( c_List_Olist__update(c_List_Olist__update(X2,X1,X4,X3),X1,X5,X3) = c_List_Olist__update(X2,X1,X5,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    cls_List_Olist__update__overwrite_0,
    [final] ).

cnf(i_0_3384,axiom,
    ( X1 = c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X1,X2),c_Main_Olexord__Nil__left__2(X1,X2),X2)
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    cls_List_Olexord__Nil__left_0,
    [final] ).

cnf(i_0_3385,axiom,
    ( c_IntDiv_OposDivAlg(c_Pair(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_OposDivAlg__eqn__number__of_0,
    [final] ).

cnf(i_0_3386,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_3387,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_3388,plain,
    ( c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3) = c_emptyset
    | c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X2,X3),X3),X4,X3,X3) != c_emptyset ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2990,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3389,plain,
    ( c_emptyset = c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3)
    | c_emptyset != c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X2,X3),X3),X4,X3,X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2991,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3390,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | c_List_Osublist(c_List_Olist_OCons(X2,X3,X4),c_SetInterval_OlessThan(c_Numeral_Onumber__of(X1,tc_nat),tc_nat),X4) = c_List_Olist_OCons(X2,c_List_Osublist(X3,c_SetInterval_OlessThan(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),tc_nat),X4),X4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2992,c_0_2984]),c_0_2984]),
    [final] ).

cnf(i_0_3391,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_3392,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_3393,axiom,
    ( c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_8,
    [final] ).

cnf(i_0_3394,axiom,
    ( c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_8,
    [final] ).

cnf(i_0_3395,axiom,
    ( c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_8,
    [final] ).

cnf(i_0_3396,axiom,
    ( c_lessequals(X4,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_8,
    [final] ).

cnf(i_0_3397,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_3398,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_3399,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_0,
    [final] ).

cnf(i_0_3400,axiom,
    ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olexord(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    cls_List_Olexord__Nil__right_0,
    [final] ).

cnf(i_0_3401,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_0,
    [final] ).

cnf(i_0_3402,plain,
    c_Transitive__Closure_Otrancl(c_union(c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),c_Relation_OId,tc_prod(X2,X2)),X2) = c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2993,c_0_2967]),c_0_2967]),c_0_2967]),
    [final] ).

cnf(i_0_3403,plain,
    ( c_lessequals(X1,X2,tc_set(X4))
    | ~ c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X2,X4),X3,X4,X4),tc_set(X4)) ),
    inference(rw,[status(thm)],[i_0_2994,c_0_2989]),
    [final] ).

cnf(i_0_3404,plain,
    ( c_lessequals(X1,X3,tc_set(X4))
    | ~ c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X2,X4),X3,X4,X4),tc_set(X4)) ),
    inference(rw,[status(thm)],[i_0_2995,c_0_2989]),
    [final] ).

cnf(i_0_3405,axiom,
    ( c_IntDiv_OposDivAlg(c_Pair(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_1,tc_IntDef_Oint,tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_OposDivAlg__eqn__1__number__of_0,
    [final] ).

cnf(i_0_3406,plain,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_Relation_OImage(c_Relation_Odiag(X2,X4),X3,X4,X4),X4) ),
    inference(rw,[status(thm)],[i_0_2996,c_0_2989]),
    [final] ).

cnf(i_0_3407,plain,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_Relation_OImage(c_Relation_Odiag(X2,X4),X3,X4,X4),X4) ),
    inference(rw,[status(thm)],[i_0_2997,c_0_2989]),
    [final] ).

cnf(i_0_3408,axiom,
    ( c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_0,X3,X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_9,
    [final] ).

cnf(i_0_3409,axiom,
    ( c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_lessequals(c_0,X3,X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X2,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_9,
    [final] ).

cnf(i_0_3410,axiom,
    ( c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_9,
    [final] ).

cnf(i_0_3411,axiom,
    ( c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_9,
    [final] ).

cnf(i_0_3412,plain,
    ( c_Relation_OImage(c_Relation_Odiag(c_insert(X4,X1,X3),X3),X2,X3,X3) = c_emptyset
    | c_in(X4,X2,X3)
    | c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3) != c_emptyset ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2998,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3413,plain,
    ( c_emptyset = c_Relation_OImage(c_Relation_Odiag(c_insert(X4,X1,X3),X3),X2,X3,X3)
    | c_in(X4,X2,X3)
    | c_emptyset != c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2999,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3414,axiom,
    ( c_Nat_Opower(c_uminus(X2,X1),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X1) = c_Nat_Opower(X2,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X3,tc_nat),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_NatBin_Opower__minus__even_0,
    [final] ).

cnf(i_0_3415,plain,
    c_Pow(c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),X3) = c_Relation_OImage(c_Relation_Odiag(c_Pow(X1,X3),tc_set(X3)),c_Pow(X2,X3),tc_set(X3),tc_set(X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3000,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3416,plain,
    c_List_Olists(c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),X3) = c_Relation_OImage(c_Relation_Odiag(c_List_Olists(X1,X3),tc_List_Olist(X3)),c_List_Olists(X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3001,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3417,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_0,
    [final] ).

cnf(i_0_3418,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(X1,X2)
    | ~ c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)) ),
    cls_Wellfounded__Recursion_Owf__not__refl_0,
    [final] ).

cnf(i_0_3419,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_1
    | ~ c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
    cls_NatSimprocs_Omod2__gr__0_0,
    [final] ).

cnf(i_0_3420,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(c_union(X3,c_Relation_OId,tc_prod(X2,X2)),X2),tc_prod(X2,X2)),
    inference(rw,[status(thm)],[i_0_3002,c_0_2967]),
    [final] ).

cnf(i_0_3421,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
    cls_Relation_Opair__in__Id__conv_0,
    [final] ).

cnf(i_0_3422,axiom,
    c_IntDiv_OnegDivAlg(c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint),
    cls_IntDiv_OnegDivAlg__minus1_0,
    [final] ).

cnf(i_0_3423,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_3424,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_3425,axiom,
    ( c_in(X5,c_List_Oset(X1,X2),X2)
    | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X5,X2,X4) = c_Datatype_Ooption_ONone
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4)) ),
    cls_Map_Omap__of__zip__is__None_1,
    [final] ).

cnf(i_0_3426,plain,
    ( c_Relation_OImage(c_Relation_Odiag(X1,X4),X3,X4,X4) = c_emptyset
    | c_Relation_OImage(c_Relation_Odiag(X1,X4),c_insert(X2,X3,X4),X4,X4) != c_emptyset ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3003,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3427,plain,
    ( c_emptyset = c_Relation_OImage(c_Relation_Odiag(X1,X4),X3,X4,X4)
    | c_emptyset != c_Relation_OImage(c_Relation_Odiag(X1,X4),c_insert(X2,X3,X4),X4,X4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3004,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3428,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    cls_Message_Oanalz__insert__MPair_0,
    [final] ).

cnf(i_0_3429,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    cls_Message_Oparts__insert__MPair_0,
    [final] ).

cnf(i_0_3430,plain,
    ( c_Relation_OImage(c_Relation_Odiag(X1,X3),c_insert(X4,X2,X3),X3,X3) = c_emptyset
    | c_in(X4,X1,X3)
    | c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3) != c_emptyset ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3005,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3431,plain,
    ( c_emptyset = c_Relation_OImage(c_Relation_Odiag(X1,X3),c_insert(X4,X2,X3),X3,X3)
    | c_in(X4,X1,X3)
    | c_emptyset != c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3006,c_0_2989]),c_0_2989]),
    [final] ).

cnf(i_0_3432,axiom,
    c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olexord(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
    cls_List_Olexord__Nil__left_1,
    [final] ).

cnf(i_0_3433,plain,
    ( c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X4,X3),X3),X2,X3,X3) != c_emptyset
    | ~ c_in(X1,X2,X3) ),
    inference(rw,[status(thm)],[i_0_3007,c_0_2989]),
    [final] ).

cnf(i_0_3434,plain,
    ( c_emptyset != c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X4,X3),X3),X2,X3,X3)
    | ~ c_in(X1,X2,X3) ),
    inference(rw,[status(thm)],[i_0_3008,c_0_2989]),
    [final] ).

cnf(i_0_3435,plain,
    ( c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_minus(X2,X1,tc_nat),tc_nat),tc_nat),X3,tc_nat) = c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),c_plus(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3009,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3436,plain,
    ( c_minus(X3,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_minus(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat) = c_minus(c_plus(X3,X1,tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3010,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3437,plain,
    ( c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X4,X3),X2,X3,X3),tc_set(X3))
    | ~ c_lessequals(X1,X4,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rw,[status(thm)],[i_0_3011,c_0_2989]),
    [final] ).

cnf(i_0_3438,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_0,
    [final] ).

cnf(i_0_3439,axiom,
    c_List_Odrop(X1,c_append(X2,X3,X4),X4) = c_append(c_List_Odrop(X1,X2,X4),c_List_Odrop(c_minus(X1,c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
    cls_List_Odrop__append_0,
    [final] ).

cnf(i_0_3440,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Product__Type_OPair__eq_0,
    [final] ).

cnf(i_0_3441,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_0,
    [final] ).

cnf(i_0_3442,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Product__Type_OPair__eq_1,
    [final] ).

cnf(i_0_3443,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_1,
    [final] ).

cnf(i_0_3444,axiom,
    ( c_less(X4,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    cls_NatSimprocs_Omult__less__cancel__left__number__of_1,
    [final] ).

cnf(i_0_3445,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1) ),
    cls_NatSimprocs_Omult__le__cancel__left__number__of_1,
    [final] ).

cnf(i_0_3446,axiom,
    ( c_less(X4,X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    cls_NatSimprocs_Omult__less__cancel__right__number__of_1,
    [final] ).

cnf(i_0_3447,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    cls_NatSimprocs_Omult__le__cancel__right__number__of_1,
    [final] ).

cnf(i_0_3448,axiom,
    ( c_less(X3,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1) ),
    cls_NatSimprocs_Omult__less__cancel__left__number__of_0,
    [final] ).

cnf(i_0_3449,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1) ),
    cls_NatSimprocs_Omult__le__cancel__left__number__of_0,
    [final] ).

cnf(i_0_3450,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    cls_NatSimprocs_Omult__less__cancel__right__number__of_0,
    [final] ).

cnf(i_0_3451,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    cls_NatSimprocs_Omult__le__cancel__right__number__of_0,
    [final] ).

cnf(i_0_3452,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_4,
    [final] ).

cnf(i_0_3453,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_1,
    [final] ).

cnf(i_0_3454,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_4,
    [final] ).

cnf(i_0_3455,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_1,
    [final] ).

cnf(i_0_3456,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(X4,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_4,
    [final] ).

cnf(i_0_3457,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(X4,c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_1,
    [final] ).

cnf(i_0_3458,axiom,
    ( c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_4,
    [final] ).

cnf(i_0_3459,axiom,
    ( c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_1,
    [final] ).

cnf(i_0_3460,plain,
    ( c_in(X1,c_Relation_OImage(c_Relation_Odiag(X4,X3),X2,X3,X3),X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3) ),
    inference(rw,[status(thm)],[i_0_3012,c_0_2989]),
    [final] ).

cnf(i_0_3461,axiom,
    ( c_less(c_0,c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) != c_1 ),
    cls_NatSimprocs_Omod2__gr__0_1,
    [final] ).

cnf(i_0_3462,axiom,
    c_List_Olist__update(c_append(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize(X1,tc_List_Olist(X4)),X5,X4) = c_append(X1,c_List_Olist_OCons(X5,X3,X4),X4),
    cls_List_Olist__update__length_0,
    [final] ).

cnf(i_0_3463,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_3464,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_3465,axiom,
    c_IntDiv_OnegateSnd(c_Pair(X1,X2,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint,tc_IntDef_Oint),
    cls_IntDiv_OnegateSnd__eq_0,
    [final] ).

cnf(i_0_3466,plain,
    c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3013,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3467,axiom,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    cls_Message_OFake__parts__insert__in__Un__dest_0,
    [final] ).

cnf(i_0_3468,axiom,
    ( c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_0,X3,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_7,
    [final] ).

cnf(i_0_3469,axiom,
    ( c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_lessequals(c_0,X3,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_7,
    [final] ).

cnf(i_0_3470,axiom,
    ( c_less(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_7,
    [final] ).

cnf(i_0_3471,axiom,
    ( c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_lessequals(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_7,
    [final] ).

cnf(i_0_3472,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_5,
    [final] ).

cnf(i_0_3473,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1)
    | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_5,
    [final] ).

cnf(i_0_3474,axiom,
    ( c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_5,
    [final] ).

cnf(i_0_3475,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_5,
    [final] ).

cnf(i_0_3476,axiom,
    c_IntDiv_OposDivAlg(c_Pair(c_0,X1,tc_IntDef_Oint,tc_IntDef_Oint)) = c_Pair(c_0,c_0,tc_IntDef_Oint,tc_IntDef_Oint),
    cls_IntDiv_OposDivAlg__0_0,
    [final] ).

cnf(i_0_3477,plain,
    ( c_List_Odistinct(c_append(X3,X1,X2),X2)
    | c_Relation_OImage(c_Relation_Odiag(c_List_Oset(X3,X2),X2),c_List_Oset(X1,X2),X2,X2) != c_emptyset
    | ~ c_List_Odistinct(X3,X2)
    | ~ c_List_Odistinct(X1,X2) ),
    inference(rw,[status(thm)],[i_0_3014,c_0_2989]),
    [final] ).

cnf(i_0_3478,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_times(X1,X2,tc_nat),tc_nat,tc_nat)) = X1,
    cls_GCD_Ogcd__mult_0,
    [final] ).

cnf(i_0_3479,plain,
    ( c_in(c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rw,[status(thm)],[i_0_3015,c_0_2989]),
    [final] ).

cnf(i_0_3480,plain,
    ( c_in(c_Relation_OImage(c_Relation_Odiag(X3,X2),X1,X2,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rw,[status(thm)],[i_0_3016,c_0_2989]),
    [final] ).

cnf(i_0_3481,plain,
    c_uminus(c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),tc_set(X3)) = c_union(c_uminus(X1,tc_set(X3)),c_uminus(X2,tc_set(X3)),X3),
    inference(rw,[status(thm)],[i_0_3017,c_0_2989]),
    [final] ).

cnf(i_0_3482,axiom,
    ( c_less(c_divide(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_6,
    [final] ).

cnf(i_0_3483,axiom,
    ( c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_0,
    [final] ).

cnf(i_0_3484,axiom,
    ( c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_6,
    [final] ).

cnf(i_0_3485,axiom,
    ( c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_0,
    [final] ).

cnf(i_0_3486,axiom,
    ( c_less(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_6,
    [final] ).

cnf(i_0_3487,axiom,
    ( c_less(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_0,
    [final] ).

cnf(i_0_3488,axiom,
    ( c_lessequals(X3,c_divide(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_6,
    [final] ).

cnf(i_0_3489,axiom,
    ( c_lessequals(X3,c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_0,
    [final] ).

cnf(i_0_3490,axiom,
    c_Nat_Osize(c_List_Ozip(X1,X2,X3,X4),tc_List_Olist(tc_prod(X3,X4))) = c_Orderings_Omin(c_Nat_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize(X2,tc_List_Olist(X4)),tc_nat),
    cls_List_Olength__zip_0,
    [final] ).

cnf(i_0_3491,axiom,
    ( c_List_Onth(c_List_Olist__update(X2,X1,X4,X3),X1,X3) = X4
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    cls_List_Onth__list__update__eq_0,
    [final] ).

cnf(i_0_3492,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_3493,plain,
    ( c_Relation_OImage(c_Relation_Odiag(X2,X3),c_insert(X1,X4,X3),X3,X3) != c_emptyset
    | ~ c_in(X1,X2,X3) ),
    inference(rw,[status(thm)],[i_0_3018,c_0_2989]),
    [final] ).

cnf(i_0_3494,plain,
    ( c_emptyset != c_Relation_OImage(c_Relation_Odiag(X2,X3),c_insert(X1,X4,X3),X3,X3)
    | ~ c_in(X1,X2,X3) ),
    inference(rw,[status(thm)],[i_0_3019,c_0_2989]),
    [final] ).

cnf(i_0_3495,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3020,c_0_3021]),
    [final] ).

cnf(i_0_3496,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_1,
    [final] ).

cnf(i_0_3497,plain,
    c_Transitive__Closure_Otrancl(c_union(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),c_Relation_OId,tc_prod(X2,X2)),X2) = c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3022,c_0_2967]),c_0_2967]),
    [final] ).

cnf(i_0_3498,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__wPE(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OGets__imp__Says_0,
    [final] ).

cnf(i_0_3499,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_1,
    [final] ).

cnf(i_0_3500,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X6)
    | c_Message_Oagent_OServer = X3
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X6,tc_Event_Oevent)) ),
    cls_Yahalom_OKeyWithNonce__Says_0,
    [final] ).

cnf(i_0_3501,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
    cls_Parity_Oneq__one__mod__two_1,
    [final] ).

cnf(i_0_3502,plain,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3023,c_0_3021]),
    [final] ).

cnf(i_0_3503,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_3504,axiom,
    ( c_List_Onth(c_List_Odrop(X1,X3,X4),X2,X4) = c_List_Onth(X3,c_plus(X1,X2,tc_nat),X4)
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
    cls_List_Onth__drop_0,
    [final] ).

cnf(i_0_3505,plain,
    c_GCD_Ogcd(c_Pair(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X1,tc_nat,tc_nat)) = c_1,
    inference(rw,[status(thm)],[i_0_3024,c_0_2973]),
    [final] ).

cnf(i_0_3506,plain,
    c_GCD_Ogcd(c_Pair(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat,tc_nat)) = c_1,
    inference(rw,[status(thm)],[i_0_3025,c_0_2973]),
    [final] ).

cnf(i_0_3507,axiom,
    ( X1 = X2
    | c_List_Onth(c_List_Olist__update(X3,X1,X4,X5),X2,X5) = c_List_Onth(X3,X2,X5) ),
    cls_List_Onth__list__update__neq_0,
    [final] ).

cnf(i_0_3508,axiom,
    ( c_div(c_plus(X2,c_times(X1,X3,tc_nat),tc_nat),X1,tc_nat) = c_plus(X3,c_div(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Odiv__mult__self2_0,
    [final] ).

cnf(i_0_3509,axiom,
    ( c_div(c_plus(X2,c_times(X3,X1,tc_nat),tc_nat),X1,tc_nat) = c_plus(X3,c_div(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Odiv__mult__self1_0,
    [final] ).

cnf(i_0_3510,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(X3,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X4),tc_Message_Omsg),
    cls_Event_Oused__Says_0,
    [final] ).

cnf(i_0_3511,plain,
    ( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X1)),X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[i_0_3026,c_0_2986]),
    [final] ).

cnf(i_0_3512,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_3513,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_3514,plain,
    ( c_Finite__Set_Ocard(c_SetInterval_OatMost(c_minus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = X1
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3027,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3515,axiom,
    ( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_insert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_Oanalz__Crypt__if_0,
    [final] ).

cnf(i_0_3516,axiom,
    ( c_less(X3,X4,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,X2,X1)
    | ~ c_less(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1) ),
    cls_Power_Opower__strict__increasing__iff_0,
    [final] ).

cnf(i_0_3517,axiom,
    ( c_lessequals(X3,X4,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,X2,X1)
    | ~ c_lessequals(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1) ),
    cls_Power_Opower__increasing__iff_0,
    [final] ).

cnf(i_0_3518,axiom,
    ( c_times(c_minus(X2,X3,X1),c_Numeral_Onumber__of(X4,X1),X1) = c_minus(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    cls_NatSimprocs_Oleft__diff__distrib__number__of_0,
    [final] ).

cnf(i_0_3519,axiom,
    ( c_times(c_plus(X2,X3,X1),c_Numeral_Onumber__of(X4,X1),X1) = c_plus(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    cls_NatSimprocs_Oleft__distrib__number__of_0,
    [final] ).

cnf(i_0_3520,axiom,
    ( c_times(c_Numeral_Onumber__of(X2,X1),c_minus(X3,X4,X1),X1) = c_minus(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    cls_NatSimprocs_Oright__diff__distrib__number__of_0,
    [final] ).

cnf(i_0_3521,axiom,
    ( c_times(c_Numeral_Onumber__of(X2,X1),c_plus(X3,X4,X1),X1) = c_plus(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    cls_NatSimprocs_Oright__distrib__number__of_0,
    [final] ).

cnf(i_0_3522,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    cls_Relation_Opair__in__Id__conv_1,
    [final] ).

cnf(i_0_3523,axiom,
    ( c_less(c_0,X4,X1)
    | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_2,
    [final] ).

cnf(i_0_3524,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_lessequals(c_0,X4,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X4,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_2,
    [final] ).

cnf(i_0_3525,axiom,
    ( c_less(X2,c_0,X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_2,
    [final] ).

cnf(i_0_3526,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_lessequals(X2,c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_2,
    [final] ).

cnf(i_0_3527,plain,
    ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rw,[status(thm)],[i_0_3028,c_0_2973]),
    [final] ).

cnf(i_0_3528,axiom,
    ( c_less(c_0,c_divide(X2,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1) ),
    cls_NatSimprocs_Ohalf__gt__zero_0,
    [final] ).

cnf(i_0_3529,plain,
    ( c_Numeral_Onumber__of(X2,X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3029,c_0_3021]),
    [final] ).

cnf(i_0_3530,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X3,X2,X1) ),
    cls_NatSimprocs_Omult__less__cancel__left__number__of_5,
    [final] ).

cnf(i_0_3531,axiom,
    ( c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_NatSimprocs_Omult__le__cancel__left__number__of_5,
    [final] ).

cnf(i_0_3532,axiom,
    ( c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X3,X2,X1) ),
    cls_NatSimprocs_Omult__less__cancel__right__number__of_5,
    [final] ).

cnf(i_0_3533,axiom,
    ( c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_NatSimprocs_Omult__le__cancel__right__number__of_5,
    [final] ).

cnf(i_0_3534,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_1,X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3030,c_0_3021]),
    [final] ).

cnf(i_0_3535,axiom,
    ( c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_NatSimprocs_Omult__le__cancel__left__number__of_4,
    [final] ).

cnf(i_0_3536,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_NatSimprocs_Omult__less__cancel__left__number__of_4,
    [final] ).

cnf(i_0_3537,axiom,
    ( c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_NatSimprocs_Omult__le__cancel__right__number__of_4,
    [final] ).

cnf(i_0_3538,axiom,
    ( c_less(c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_NatSimprocs_Omult__less__cancel__right__number__of_4,
    [final] ).

cnf(i_0_3539,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_NatSimprocs_Omult__le__cancel__left__number__of_3,
    [final] ).

cnf(i_0_3540,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X4,X1),X3,X1),c_times(c_Numeral_Onumber__of(X4,X1),X2,X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_NatSimprocs_Omult__less__cancel__left__number__of_3,
    [final] ).

cnf(i_0_3541,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_lessequals(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_NatSimprocs_Omult__le__cancel__right__number__of_3,
    [final] ).

cnf(i_0_3542,axiom,
    ( c_less(c_times(X3,c_Numeral_Onumber__of(X4,X1),X1),c_times(X2,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_NatSimprocs_Omult__less__cancel__right__number__of_3,
    [final] ).

cnf(i_0_3543,axiom,
    ( c_lessequals(X3,X5,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X3,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1)) ),
    cls_SetInterval_Oivl__subset_1,
    [final] ).

cnf(i_0_3544,axiom,
    ( c_lessequals(X4,X2,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X2,X3,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1)) ),
    cls_SetInterval_Oivl__subset_0,
    [final] ).

cnf(i_0_3545,axiom,
    c_snd(c_Pair(X1,X2,X3,X4),X3,X4) = X2,
    cls_Product__Type_Osnd__conv_0,
    [final] ).

cnf(i_0_3546,axiom,
    c_fst(c_Pair(X1,X2,X3,X4),X3,X4) = X1,
    cls_Product__Type_Ofst__conv_0,
    [final] ).

cnf(i_0_3547,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | c_lessequals(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_NatSimprocs_Omult__le__cancel__left__number__of_2,
    [final] ).

cnf(i_0_3548,axiom,
    ( c_less(c_times(c_Numeral_Onumber__of(X2,X1),X3,X1),c_times(c_Numeral_Onumber__of(X2,X1),X4,X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_NatSimprocs_Omult__less__cancel__left__number__of_2,
    [final] ).

cnf(i_0_3549,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | c_lessequals(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_times(X4,c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_NatSimprocs_Omult__le__cancel__right__number__of_2,
    [final] ).

cnf(i_0_3550,axiom,
    ( c_less(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_times(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_NatSimprocs_Omult__less__cancel__right__number__of_2,
    [final] ).

cnf(i_0_3551,plain,
    ( c_in(X1,c_Transitive__Closure_Otrancl(c_union(X2,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_3031,c_0_2967]),
    [final] ).

cnf(i_0_3552,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    cls_Nat_Omult__le__cancel1_0,
    [final] ).

cnf(i_0_3553,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_lessequals(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) ),
    cls_Nat_Omult__le__cancel2_0,
    [final] ).

cnf(i_0_3554,axiom,
    ( c_in(X1,c_List_Oset(X2,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Osublist(X2,X3,X4),X4),X4) ),
    cls_List_Onotin__set__sublistI_0,
    [final] ).

cnf(i_0_3555,axiom,
    ( c_in(X1,c_List_Oset(X3,X4),X4)
    | ~ c_in(X1,c_List_Oset(c_List_Oremove1(X2,X3,X4),X4),X4) ),
    cls_List_Onotin__set__remove1_0,
    [final] ).

cnf(i_0_3556,plain,
    ( c_Relation_OImage(c_Relation_Odiag(c_List_Oset(X1,X3),X3),c_List_Oset(X2,X3),X3,X3) = c_emptyset
    | ~ c_List_Odistinct(c_append(X1,X2,X3),X3) ),
    inference(rw,[status(thm)],[i_0_3032,c_0_2989]),
    [final] ).

cnf(i_0_3557,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
    cls_Message_Oin__parts__UnE_0,
    [final] ).

cnf(i_0_3558,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_8,
    [final] ).

cnf(i_0_3559,axiom,
    c_Nat_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize(X1,tc_List_Olist(X4)),
    cls_List_Olength__list__update_0,
    [final] ).

cnf(i_0_3560,axiom,
    c_Nat_Osize(c_Pair(X1,X2,X3,X4),tc_prod(X3,X4)) = c_0,
    cls_Datatype_Oprod_Osize_0,
    [final] ).

cnf(i_0_3561,plain,
    c_List_Osublist(c_List_Olist_OCons(X2,X3,X4),c_SetInterval_OlessThan(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),X4) = c_List_Olist_OCons(X2,c_List_Osublist(X3,c_SetInterval_OlessThan(X1,tc_nat),X4),X4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3033,c_0_2973]),c_0_2984]),c_0_2984]),
    [final] ).

cnf(i_0_3562,plain,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[i_0_3034,c_0_2986]),
    [final] ).

cnf(i_0_3563,plain,
    c_minus(c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X3,tc_nat),tc_nat),tc_nat) = c_minus(c_minus(X1,X2,tc_nat),X3,tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3035,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3564,plain,
    c_List_Osublist(c_List_Osublist(X3,c_SetInterval_OlessThan(X2,tc_nat),X4),c_SetInterval_OlessThan(X1,tc_nat),X4) = c_List_Osublist(X3,c_SetInterval_OlessThan(c_Orderings_Omin(X1,X2,tc_nat),tc_nat),X4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3036,c_0_2984]),c_0_2984]),c_0_2984]),
    [final] ).

cnf(i_0_3565,plain,
    c_uminus(c_union(X1,X2,X3),tc_set(X3)) = c_Relation_OImage(c_Relation_Odiag(c_uminus(X1,tc_set(X3)),X3),c_uminus(X2,tc_set(X3)),X3,X3),
    inference(rw,[status(thm)],[i_0_3037,c_0_2989]),
    [final] ).

cnf(i_0_3566,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__less__0__iff__number__of_0,
    [final] ).

cnf(i_0_3567,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__le__0__iff__number__of_0,
    [final] ).

cnf(i_0_3568,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    cls_NatSimprocs_Ozero__less__divide__iff__number__of_0,
    [final] ).

cnf(i_0_3569,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    cls_NatSimprocs_Ozero__le__divide__iff__number__of_0,
    [final] ).

cnf(i_0_3570,plain,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3038,c_0_3021]),c_0_3021]),
    [final] ).

cnf(i_0_3571,plain,
    ( c_less(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3039,c_0_3021]),
    [final] ).

cnf(i_0_3572,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_0,
    [final] ).

cnf(i_0_3573,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_1,
    [final] ).

cnf(i_0_3574,axiom,
    ( c_List_Olist__update(X2,X1,c_List_Onth(X2,X1,X3),X3) = X2
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    cls_List_Olist__update__id_0,
    [final] ).

cnf(i_0_3575,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | X2 = c_Numeral_Obit_OB0
    | c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X3,X2),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_plus(c_Numeral_Onumber__of(X3,tc_IntDef_Oint),c_1,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Ozdiv__number__of__BIT_2,
    [final] ).

cnf(i_0_3576,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    cls_Yahalom_Onew__keys__not__used_0,
    [final] ).

cnf(i_0_3577,axiom,
    c_GCD_Ogcd(c_Pair(X1,X1,tc_nat,tc_nat)) = X1,
    cls_GCD_Ogcd__self_0,
    [final] ).

cnf(i_0_3578,axiom,
    c_GCD_Ogcd(c_Pair(c_0,X1,tc_nat,tc_nat)) = X1,
    cls_GCD_Ogcd__0__left_0,
    [final] ).

cnf(i_0_3579,axiom,
    c_GCD_Ogcd(c_Pair(X1,c_0,tc_nat,tc_nat)) = X1,
    cls_GCD_Ogcd__0_0,
    [final] ).

cnf(i_0_3580,axiom,
    ( c_less(c_0,X3,X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    cls_NatSimprocs_Ozero__less__divide__iff__number__of_2,
    [final] ).

cnf(i_0_3581,axiom,
    ( c_lessequals(c_0,X3,X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    cls_NatSimprocs_Ozero__le__divide__iff__number__of_2,
    [final] ).

cnf(i_0_3582,axiom,
    ( c_less(c_0,X3,X1)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__less__0__iff__number__of_1,
    [final] ).

cnf(i_0_3583,axiom,
    ( c_lessequals(c_0,X3,X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__le__0__iff__number__of_1,
    [final] ).

cnf(i_0_3584,axiom,
    ( c_less(X3,c_0,X1)
    | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__less__0__iff__number__of_2,
    [final] ).

cnf(i_0_3585,axiom,
    ( c_lessequals(X3,c_0,X1)
    | c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__le__0__iff__number__of_2,
    [final] ).

cnf(i_0_3586,axiom,
    ( c_less(X3,c_0,X1)
    | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    cls_NatSimprocs_Ozero__less__divide__iff__number__of_1,
    [final] ).

cnf(i_0_3587,axiom,
    ( c_lessequals(X3,c_0,X1)
    | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    cls_NatSimprocs_Ozero__le__divide__iff__number__of_1,
    [final] ).

cnf(i_0_3588,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_less(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
    cls_OrderedGroup_Oadd__less__cancel__right_0,
    [final] ).

cnf(i_0_3589,axiom,
    ( c_less(X3,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_less(c_plus(X2,X3,X1),c_plus(X2,X4,X1),X1) ),
    cls_OrderedGroup_Oadd__less__cancel__left_0,
    [final] ).

cnf(i_0_3590,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
    cls_OrderedGroup_Oadd__le__cancel__right_0,
    [final] ).

cnf(i_0_3591,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X2,X4,X1),X1) ),
    cls_OrderedGroup_Oadd__le__cancel__left_0,
    [final] ).

cnf(i_0_3592,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_1,X1) ),
    inference(rw,[status(thm)],[i_0_3040,c_0_3021]),
    [final] ).

cnf(i_0_3593,plain,
    c_append(c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3),X4,X3) = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,X4,X3),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3041,c_0_3042]),c_0_3042]),
    [final] ).

cnf(i_0_3594,plain,
    ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[i_0_3043,c_0_2986]),
    [final] ).

cnf(i_0_3595,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_less(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1) ),
    cls_NatSimprocs_Odivide__less__eq__number__of_3,
    [final] ).

cnf(i_0_3596,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_lessequals(c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_NatSimprocs_Odivide__le__eq__number__of_3,
    [final] ).

cnf(i_0_3597,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
    | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
    | c_lessequals(X2,c_divide(X4,c_Numeral_Onumber__of(X3,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_NatSimprocs_Ole__divide__eq__number__of_3,
    [final] ).

cnf(i_0_3598,axiom,
    ( c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X4,X1),X1),X1)
    | c_less(c_0,c_Numeral_Onumber__of(X4,X1),X1)
    | c_less(c_Numeral_Onumber__of(X4,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1) ),
    cls_NatSimprocs_Oless__divide__eq__number__of_3,
    [final] ).

cnf(i_0_3599,plain,
    c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Datatype__Universe_OAtom(X2,X3,X4),X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4),
    inference(rw,[status(thm)],[i_0_3044,c_0_2973]),
    [final] ).

cnf(i_0_3600,plain,
    c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Datatype__Universe_ONumb(X2,X3,X4),X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4),
    inference(rw,[status(thm)],[i_0_3045,c_0_2973]),
    [final] ).

cnf(i_0_3601,plain,
    c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Datatype__Universe_OLeaf(X2,X3,X4),X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4),
    inference(rw,[status(thm)],[i_0_3046,c_0_2973]),
    [final] ).

cnf(i_0_3602,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OAtom(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Atom_0,
    [final] ).

cnf(i_0_3603,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_ONumb(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Numb_0,
    [final] ).

cnf(i_0_3604,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OLeaf(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Leaf_0,
    [final] ).

cnf(i_0_3605,axiom,
    c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_OAtom__not__Scons_0,
    [final] ).

cnf(i_0_3606,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_ONumb__not__Scons_0,
    [final] ).

cnf(i_0_3607,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_OLeaf__not__Scons_0,
    [final] ).

cnf(i_0_3608,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3047,c_0_3021]),
    [final] ).

cnf(i_0_3609,plain,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_minus(X3,c_Numeral_Onumber__of(X4,X1),X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X4)),X1),X3,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3048,c_0_3021]),
    [final] ).

cnf(i_0_3610,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_2,
    [final] ).

cnf(i_0_3611,plain,
    ( c_List_Osublist(c_List_Oupt(X1,X3),c_SetInterval_OlessThan(X2,tc_nat),tc_nat) = c_List_Oupt(X1,c_plus(X1,X2,tc_nat))
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3049,c_0_2984]),
    [final] ).

cnf(i_0_3612,axiom,
    ( c_less(X1,X3,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    cls_Nat_Omult__less__cancel2_1,
    [final] ).

cnf(i_0_3613,axiom,
    ( c_less(X2,X3,tc_nat)
    | ~ c_less(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat) ),
    cls_Nat_Onat__add__left__cancel__less_0,
    [final] ).

cnf(i_0_3614,axiom,
    ( c_less(X2,X3,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    cls_Nat_Omult__less__cancel1_1,
    [final] ).

cnf(i_0_3615,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat) ),
    cls_Nat_Onat__add__left__cancel__le_0,
    [final] ).

cnf(i_0_3616,axiom,
    c_Pair(c_fst(X1,X2,X3),c_snd(X1,X2,X3),X2,X3) = X1,
    cls_Product__Type_Opair__collapse_0,
    [final] ).

cnf(i_0_3617,axiom,
    X1 = c_Pair(c_Main_Osurj__pair__1(X1,X2,X3),c_Main_Osurj__pair__2(X1,X2,X3),X2,X3),
    cls_Product__Type_Osurj__pair_0,
    [final] ).

cnf(i_0_3618,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    cls_Nat_Omult__less__cancel1_0,
    [final] ).

cnf(i_0_3619,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ c_less(c_times(X1,X2,tc_nat),c_times(X3,X2,tc_nat),tc_nat) ),
    cls_Nat_Omult__less__cancel2_0,
    [final] ).

cnf(i_0_3620,axiom,
    ( c_less(X3,c_0,X1)
    | c_less(c_0,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__less__0__iff__number__of_3,
    [final] ).

cnf(i_0_3621,axiom,
    ( c_lessequals(X3,c_0,X1)
    | c_lessequals(c_0,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__le__0__iff__number__of_3,
    [final] ).

cnf(i_0_3622,axiom,
    ( c_less(X3,c_0,X1)
    | c_less(c_0,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    cls_NatSimprocs_Ozero__less__divide__iff__number__of_3,
    [final] ).

cnf(i_0_3623,axiom,
    ( c_lessequals(X3,c_0,X1)
    | c_lessequals(c_0,X3,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X3,X1),X1) ),
    cls_NatSimprocs_Ozero__le__divide__iff__number__of_3,
    [final] ).

cnf(i_0_3624,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X5,X6),X3,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X3) ),
    cls_Yahalom_OKeyWithNonce__Says_3,
    [final] ).

cnf(i_0_3625,axiom,
    c_Relation_OImage(c_List_Olistrel(X1,X2),c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X2)),tc_List_Olist(X2),tc_List_Olist(X2)) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X2)),
    cls_List_Olistrel__Nil_0,
    [final] ).

cnf(i_0_3626,axiom,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X5,X2,X1),c_SetInterval_OatLeastLessThan(X4,X3,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X5,X1) ),
    cls_SetInterval_Oivl__subset_3,
    [final] ).

cnf(i_0_3627,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_0,
    [final] ).

cnf(i_0_3628,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),
    cls_Message_Oparts__insert__Crypt_0,
    [final] ).

cnf(i_0_3629,axiom,
    ( c_less(c_Nat_Opower(X4,X2,X1),c_Nat_Opower(X4,X3,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(X2,X3,tc_nat)
    | ~ c_less(c_1,X4,X1) ),
    cls_Power_Opower__strict__increasing__iff_1,
    [final] ).

cnf(i_0_3630,axiom,
    ( c_lessequals(c_Nat_Opower(X2,X3,X1),c_Nat_Opower(X2,X4,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,X2,X1)
    | ~ c_lessequals(X3,X4,tc_nat) ),
    cls_Power_Opower__increasing__iff_1,
    [final] ).

cnf(i_0_3631,axiom,
    ( c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X4,X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    cls_List_Olist__inter_Osimps__2_0,
    [final] ).

cnf(i_0_3632,axiom,
    ( c_less(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__less__0__iff__number__of_5,
    [final] ).

cnf(i_0_3633,axiom,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    cls_NatSimprocs_Odivide__le__0__iff__number__of_5,
    [final] ).

cnf(i_0_3634,axiom,
    ( c_less(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    cls_NatSimprocs_Odivide__less__0__iff__number__of_4,
    [final] ).

cnf(i_0_3635,axiom,
    ( c_lessequals(c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),c_0,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    cls_NatSimprocs_Odivide__le__0__iff__number__of_4,
    [final] ).

cnf(i_0_3636,axiom,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    cls_NatSimprocs_Ozero__less__divide__iff__number__of_4,
    [final] ).

cnf(i_0_3637,axiom,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X1),X1) ),
    cls_NatSimprocs_Ozero__le__divide__iff__number__of_4,
    [final] ).

cnf(i_0_3638,axiom,
    ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    cls_NatSimprocs_Ozero__less__divide__iff__number__of_5,
    [final] ).

cnf(i_0_3639,axiom,
    ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X3,X1),X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X3,X1),c_0,X1) ),
    cls_NatSimprocs_Ozero__le__divide__iff__number__of_5,
    [final] ).

cnf(i_0_3640,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_less(c_0,X2,X1)
    | c_Numeral_Onumber__of(X3,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1) ),
    cls_Parity_Ozero__less__power__eq__number__of_0,
    [final] ).

cnf(i_0_3641,axiom,
    ( c_less(c_Finite__Set_OMax(X2,X1),X3,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_less(c_Main_OMax__less__iff__1(X2,X3,X1),X3,X1) ),
    cls_Finite__Set_OMax__less__iff_2,
    [final] ).

cnf(i_0_3642,axiom,
    ( c_lessequals(c_Finite__Set_OMax(X2,X1),X3,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_lessequals(c_Main_OMax__le__iff__1(X2,X3,X1),X3,X1) ),
    cls_Finite__Set_OMax__le__iff_2,
    [final] ).

cnf(i_0_3643,axiom,
    ( c_less(X3,c_Finite__Set_OMin(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_less(X3,c_Main_OMin__gr__iff__1(X2,X3,X1),X1) ),
    cls_Finite__Set_OMin__gr__iff_2,
    [final] ).

cnf(i_0_3644,axiom,
    ( c_lessequals(X3,c_Finite__Set_OMin(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_lessequals(X3,c_Main_OMin__ge__iff__1(X2,X3,X1),X1) ),
    cls_Finite__Set_OMin__ge__iff_2,
    [final] ).

cnf(i_0_3645,plain,
    ( c_lessequals(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3050,c_0_3021]),
    [final] ).

cnf(i_0_3646,axiom,
    c_insert(X1,c_minus(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)),X3) = c_insert(X1,X2,X3),
    cls_Set_Oinsert__Diff__single_0,
    [final] ).

cnf(i_0_3647,plain,
    ( c_1 = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3051,c_0_3021]),
    [final] ).

cnf(i_0_3648,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_1,
    [final] ).

cnf(i_0_3649,plain,
    c_Orderings_Omin(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Orderings_Omin(X1,X2,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3052,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3650,plain,
    c_Orderings_Omax(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Orderings_Omax(X1,X2,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3053,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3651,plain,
    c_Inter(c_insert(X1,X2,tc_set(X3)),X3) = c_Relation_OImage(c_Relation_Odiag(X1,X3),c_Inter(X2,X3),X3,X3),
    inference(rw,[status(thm)],[i_0_3054,c_0_2989]),
    [final] ).

cnf(i_0_3652,plain,
    ( X1 = c_UNIV
    | c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3) != c_UNIV ),
    inference(rw,[status(thm)],[i_0_3055,c_0_2989]),
    [final] ).

cnf(i_0_3653,plain,
    ( X2 = c_UNIV
    | c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3) != c_UNIV ),
    inference(rw,[status(thm)],[i_0_3056,c_0_2989]),
    [final] ).

cnf(i_0_3654,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_plus(c_minus(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint)),
    cls_SetInterval_Ocard__atLeastAtMost__int_0,
    [final] ).

cnf(i_0_3655,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_0,X2,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1) ),
    cls_Parity_Ozero__le__power__eq__number__of_0,
    [final] ).

cnf(i_0_3656,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(X2,c_0,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1) ),
    cls_Parity_Opower__le__zero__eq__number__of_2,
    [final] ).

cnf(i_0_3657,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_union(c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X3),tc_Message_Omsg),
    cls_Event_Oused__Notes_0,
    [final] ).

cnf(i_0_3658,axiom,
    ( c_less(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    cls_Nat_Omult__less__cancel2_2,
    [final] ).

cnf(i_0_3659,axiom,
    ( c_less(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat)
    | ~ c_less(c_0,X3,tc_nat) ),
    cls_Nat_Omult__less__cancel1_2,
    [final] ).

cnf(i_0_3660,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X2,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)),
    cls_SetInterval_Ocard__greaterThanLessThan__int_0,
    [final] ).

cnf(i_0_3661,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_3662,axiom,
    ( c_minus(c_SetInterval_OatLeastLessThan(X2,X4,X1),c_SetInterval_OatLeastLessThan(X2,X3,X1),tc_set(X1)) = c_SetInterval_OatLeastLessThan(X3,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_Oivl__diff_0,
    [final] ).

cnf(i_0_3663,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3057,c_0_3021]),
    [final] ).

cnf(i_0_3664,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3058,c_0_3021]),
    [final] ).

cnf(i_0_3665,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3059,c_0_3021]),
    [final] ).

cnf(i_0_3666,axiom,
    c_Divides_Oop_Amod(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X2,tc_nat) = c_Divides_Oop_Amod(X1,X2,tc_nat),
    cls_Divides_Omod__mult__self2_0,
    [final] ).

cnf(i_0_3667,axiom,
    c_Divides_Oop_Amod(c_plus(X1,c_times(X2,X3,tc_nat),tc_nat),X3,tc_nat) = c_Divides_Oop_Amod(X1,X3,tc_nat),
    cls_Divides_Omod__mult__self1_0,
    [final] ).

cnf(i_0_3668,plain,
    c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3) = c_emptyset,
    inference(rw,[status(thm)],[i_0_3060,c_0_2973]),
    [final] ).

cnf(i_0_3669,plain,
    c_Datatype__Universe_Ontrunc(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3) = c_emptyset,
    inference(rw,[status(thm)],[i_0_3061,c_0_2973]),
    [final] ).

cnf(i_0_3670,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_3671,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3062,c_0_3021]),
    [final] ).

cnf(i_0_3672,axiom,
    c_List_Onth(c_append(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize(X1,tc_List_Olist(X4)),X4) = X2,
    cls_List_Onth__append__length_0,
    [final] ).

cnf(i_0_3673,axiom,
    ( c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Ozdiv__number__of__BIT_1,
    [final] ).

cnf(i_0_3674,axiom,
    ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    cls_Public_OCrypt__Spy__analz__bad_0,
    [final] ).

cnf(i_0_3675,plain,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3063,c_0_3021]),
    [final] ).

cnf(i_0_3676,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3064,c_0_3021]),
    [final] ).

cnf(i_0_3677,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_insert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
    cls_Event_Oknows__Spy__Says_0,
    [final] ).

cnf(i_0_3678,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_divide(X3,X2,X1),c_1,X1) ),
    cls_Ring__and__Field_Odivide__less__eq__1__pos_0,
    [final] ).

cnf(i_0_3679,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_lessequals(c_divide(X3,X2,X1),c_1,X1) ),
    cls_Ring__and__Field_Odivide__le__eq__1__pos_0,
    [final] ).

cnf(i_0_3680,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_1,c_divide(X3,X2,X1),X1) ),
    cls_Ring__and__Field_Oless__divide__eq__1__pos_0,
    [final] ).

cnf(i_0_3681,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_lessequals(c_1,c_divide(X3,X2,X1),X1) ),
    cls_Ring__and__Field_Ole__divide__eq__1__pos_0,
    [final] ).

cnf(i_0_3682,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_divide(X3,X2,X1),c_1,X1) ),
    cls_Ring__and__Field_Odivide__less__eq__1__neg_0,
    [final] ).

cnf(i_0_3683,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_lessequals(c_divide(X3,X2,X1),c_1,X1) ),
    cls_Ring__and__Field_Odivide__le__eq__1__neg_0,
    [final] ).

cnf(i_0_3684,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(c_1,c_divide(X3,X2,X1),X1) ),
    cls_Ring__and__Field_Oless__divide__eq__1__neg_0,
    [final] ).

cnf(i_0_3685,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_lessequals(c_1,c_divide(X3,X2,X1),X1) ),
    cls_Ring__and__Field_Ole__divide__eq__1__neg_0,
    [final] ).

cnf(i_0_3686,axiom,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_1 ),
    cls_Parity_Oneq__one__mod__two_0,
    [final] ).

cnf(i_0_3687,axiom,
    ( c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1) ),
    cls_Parity_Ozero__less__power__eq__number__of_1,
    [final] ).

cnf(i_0_3688,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_less(c_1,c_Numeral_Onumber__of(X2,X1),X1) ),
    inference(rw,[status(thm)],[i_0_3065,c_0_3021]),
    [final] ).

cnf(i_0_3689,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3066,c_0_3021]),
    [final] ).

cnf(i_0_3690,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3067,c_0_3021]),
    [final] ).

cnf(i_0_3691,axiom,
    ( c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X4,tc_nat),X3) = c_List_Onth(X2,c_minus(c_Numeral_Onumber__of(X4,tc_nat),c_1,tc_nat),X3)
    | c_Numeral_Onumber__of(X4,tc_nat) = c_0 ),
    cls_List_Onth__Cons__number__of_1,
    [final] ).

cnf(i_0_3692,axiom,
    ( c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_minus(c_Numeral_Onumber__of(X1,tc_nat),c_1,tc_nat),X3,X4)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
    cls_List_Odrop__Cons__number__of_1,
    [final] ).

cnf(i_0_3693,axiom,
    ( c_less(c_0,c_0,X1)
    | c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1) ),
    cls_Parity_Ozero__less__power__eq__number__of_2,
    [final] ).

cnf(i_0_3694,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,X3,X1)
    | ~ c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1) ),
    cls_Ring__and__Field_Oinverse__less__iff__less_0,
    [final] ).

cnf(i_0_3695,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,X3,X1)
    | ~ c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1) ),
    cls_Ring__and__Field_Oinverse__le__iff__le_0,
    [final] ).

cnf(i_0_3696,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_0,X1)
    | ~ c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1) ),
    cls_Ring__and__Field_Oinverse__less__iff__less__neg_0,
    [final] ).

cnf(i_0_3697,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_0,X1)
    | ~ c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1) ),
    cls_Ring__and__Field_Oinverse__le__iff__le__neg_0,
    [final] ).

cnf(i_0_3698,axiom,
    ( c_plus(c_minus(X2,X1,tc_nat),X3,tc_nat) = c_minus(c_plus(X2,X3,tc_nat),X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_NatArith_Oadd__diff__assoc2_0,
    [final] ).

cnf(i_0_3699,axiom,
    ( c_minus(X3,c_minus(X2,X1,tc_nat),tc_nat) = c_minus(c_plus(X3,X1,tc_nat),X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_NatArith_Odiff__diff__right_0,
    [final] ).

cnf(i_0_3700,axiom,
    ( c_plus(X3,c_minus(X2,X1,tc_nat),tc_nat) = c_minus(c_plus(X3,X2,tc_nat),X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_NatArith_Oadd__diff__assoc_0,
    [final] ).

cnf(i_0_3701,plain,
    ( c_lessequals(c_1,X1,tc_nat)
    | ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3068,c_0_2973]),
    [final] ).

cnf(i_0_3702,plain,
    ( c_lessequals(c_1,X2,tc_nat)
    | ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3069,c_0_2973]),
    [final] ).

cnf(i_0_3703,axiom,
    ( X3 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1) ),
    cls_Parity_Opower__le__zero__eq__number__of_1,
    [final] ).

cnf(i_0_3704,axiom,
    c_List_Onth(c_append(X1,X2,X3),c_plus(c_Nat_Osize(X1,tc_List_Olist(X3)),X4,tc_nat),X3) = c_List_Onth(X2,X4,X3),
    cls_List_Onth__append__length__plus_0,
    [final] ).

cnf(i_0_3705,plain,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
    inference(rw,[status(thm)],[i_0_3070,c_0_2986]),
    [final] ).

cnf(i_0_3706,axiom,
    ( c_div(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) = c_div(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Odiv__mult__mult1_0,
    [final] ).

cnf(i_0_3707,axiom,
    ( c_div(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) = c_div(X2,X3,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Odiv__mult__mult2_0,
    [final] ).

cnf(i_0_3708,axiom,
    ( ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_less(c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1) ),
    cls_Parity_Opower__less__zero__eq__number__of_0,
    [final] ).

cnf(i_0_3709,plain,
    c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat)) = c_plus(c_Binomial_Obinomial(X1,X2),c_Binomial_Obinomial(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat)),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3071,c_0_2973]),c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3710,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_1,
    [final] ).

cnf(i_0_3711,axiom,
    ( c_lessequals(X2,c_0,X1)
    | X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1) ),
    cls_Parity_Opower__le__zero__eq__number__of_3,
    [final] ).

cnf(i_0_3712,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    cls_Message_OHash__synth__analz_0,
    [final] ).

cnf(i_0_3713,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Event_OSays__imp__analz__Spy__dest_0,
    [final] ).

cnf(i_0_3714,axiom,
    c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg),
    cls_Message_Oanalz__synth__Un_0,
    [final] ).

cnf(i_0_3715,plain,
    c_Relation_OImage(c_Relation_Odiag(X1,X3),c_minus(X2,X1,tc_set(X3)),X3,X3) = c_emptyset,
    inference(rw,[status(thm)],[i_0_3072,c_0_2989]),
    [final] ).

cnf(i_0_3716,axiom,
    ( c_List_Olist__update(X1,X3,X4,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
    cls_List_Olist__update__beyond_0,
    [final] ).

cnf(i_0_3717,plain,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),X2,X2) = c_UNIV,
    inference(rw,[status(thm)],[i_0_3073,c_0_2967]),
    [final] ).

cnf(i_0_3718,plain,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),X2,X2) = c_UNIV,
    inference(rw,[status(thm)],[i_0_3074,c_0_2967]),
    [final] ).

cnf(i_0_3719,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1) ),
    cls_Parity_Opower__less__zero__eq__number__of_1,
    [final] ).

cnf(i_0_3720,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_0,
    [final] ).

cnf(i_0_3721,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_1,
    [final] ).

cnf(i_0_3722,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_3723,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_1,
    [final] ).

cnf(i_0_3724,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OHash__synth__analz_1,
    [final] ).

cnf(i_0_3725,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X5)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X5,tc_Event_Oevent)) ),
    cls_Yahalom_OKeyWithNonce__Notes_0,
    [final] ).

cnf(i_0_3726,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,X5)
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X5,tc_Event_Oevent)) ),
    cls_Yahalom_OKeyWithNonce__Gets_0,
    [final] ).

cnf(i_0_3727,plain,
    ( c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X2,X1,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X2,tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3075,c_0_2973]),
    [final] ).

cnf(i_0_3728,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat) ),
    cls_Parity_Ozero__less__power__nat__eq__number__of_0,
    [final] ).

cnf(i_0_3729,axiom,
    ( c_List_Onth(c_List_Oupt(X1,X3),X2,tc_nat) = c_plus(X1,X2,tc_nat)
    | ~ c_less(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
    cls_List_Onth__upt_0,
    [final] ).

cnf(i_0_3730,axiom,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_plus(c_Numeral_Onumber__of(X3,X1),X4,X1),X1) = c_plus(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X3),X1),X4,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Oadd__number__of__left_0,
    [final] ).

cnf(i_0_3731,axiom,
    ( c_times(c_Numeral_Onumber__of(X2,X1),c_times(c_Numeral_Onumber__of(X3,X1),X4,X1),X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(X2,X3),X1),X4,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Omult__number__of__left_0,
    [final] ).

cnf(i_0_3732,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3076,c_0_3021]),
    [final] ).

cnf(i_0_3733,plain,
    ( c_less(c_minus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3077,c_0_2973]),
    [final] ).

cnf(i_0_3734,plain,
    c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3078,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3735,plain,
    c_plus(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3079,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3736,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3080,c_0_3021]),
    [final] ).

cnf(i_0_3737,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1),X1)
    | c_Numeral_Onumber__of(X2,X1) != c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3081,c_0_3021]),
    [final] ).

cnf(i_0_3738,plain,
    c_minus(X1,c_uminus(X2,tc_set(X3)),tc_set(X3)) = c_Relation_OImage(c_Relation_Odiag(X1,X3),X2,X3,X3),
    inference(rw,[status(thm)],[i_0_3082,c_0_2989]),
    [final] ).

cnf(i_0_3739,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3083,c_0_3021]),
    [final] ).

cnf(i_0_3740,axiom,
    ( c_less(X2,X4,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_less(c_Finite__Set_OMax(X3,X1),X4,X1) ),
    cls_Finite__Set_OMax__less__iff_0,
    [final] ).

cnf(i_0_3741,axiom,
    ( c_lessequals(X2,X4,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_lessequals(c_Finite__Set_OMax(X3,X1),X4,X1) ),
    cls_Finite__Set_OMax__le__iff_0,
    [final] ).

cnf(i_0_3742,axiom,
    ( c_less(X4,X2,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_less(X4,c_Finite__Set_OMin(X3,X1),X1) ),
    cls_Finite__Set_OMin__gr__iff_0,
    [final] ).

cnf(i_0_3743,axiom,
    ( c_lessequals(X4,X2,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1))
    | ~ c_lessequals(X4,c_Finite__Set_OMin(X3,X1),X1) ),
    cls_Finite__Set_OMin__ge__iff_0,
    [final] ).

cnf(i_0_3744,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    cls_NatBin_Omod__nat__number__of_2,
    [final] ).

cnf(i_0_3745,plain,
    c_less(c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    inference(rw,[status(thm)],[i_0_3084,c_0_2973]),
    [final] ).

cnf(i_0_3746,axiom,
    ( c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,X3,X1) ),
    cls_Ring__and__Field_Oinverse__less__iff__less_1,
    [final] ).

cnf(i_0_3747,axiom,
    ( c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_less(c_0,X3,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_Ring__and__Field_Oinverse__le__iff__le_1,
    [final] ).

cnf(i_0_3748,axiom,
    ( c_less(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_0,X1) ),
    cls_Ring__and__Field_Oinverse__less__iff__less__neg_1,
    [final] ).

cnf(i_0_3749,axiom,
    ( c_lessequals(c_HOL_Oinverse(X3,X1),c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_less(X3,c_0,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_Ring__and__Field_Oinverse__le__iff__le__neg_1,
    [final] ).

cnf(i_0_3750,axiom,
    ( c_lessequals(c_SetInterval_OatLeastLessThan(X3,X2,X1),c_SetInterval_OatLeastLessThan(X4,X5,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_Oivl__subset_2,
    [final] ).

cnf(i_0_3751,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_2,
    [final] ).

cnf(i_0_3752,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_2,
    [final] ).

cnf(i_0_3753,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) ),
    inference(rw,[status(thm)],[i_0_3085,c_0_3021]),
    [final] ).

cnf(i_0_3754,plain,
    c_plus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(X1,X2,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3086,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3755,plain,
    c_plus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(X1,X2,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3087,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3756,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    cls_Set_OUn__iff_0,
    [final] ).

cnf(i_0_3757,axiom,
    ( c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Event_OSays__imp__knows__Spy_0,
    [final] ).

cnf(i_0_3758,plain,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3088,c_0_3021]),
    [final] ).

cnf(i_0_3759,axiom,
    ( c_less(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_OrderedGroup_Oadd__less__cancel__right_1,
    [final] ).

cnf(i_0_3760,axiom,
    ( c_less(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_OrderedGroup_Oadd__less__cancel__left_1,
    [final] ).

cnf(i_0_3761,axiom,
    ( c_lessequals(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_OrderedGroup_Oadd__le__cancel__right_1,
    [final] ).

cnf(i_0_3762,axiom,
    ( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_OrderedGroup_Oadd__le__cancel__left_1,
    [final] ).

cnf(i_0_3763,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    cls_Set_ODiff__iff_1,
    [final] ).

cnf(i_0_3764,axiom,
    ( c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X4,X2,tc_set(X3)) ),
    cls_Set_OUn__subset__iff_2,
    [final] ).

cnf(i_0_3765,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_3766,axiom,
    ( ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1)
    | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
    cls_Parity_Opower__le__zero__eq__number__of_0,
    [final] ).

cnf(i_0_3767,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X2,X1),c_1,X1)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3089,c_0_3021]),
    [final] ).

cnf(i_0_3768,plain,
    ( c_Finite__Set_Ocard(c_insert(X3,X1,X2),X2) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(X1,X2),tc_nat),tc_nat)
    | c_in(X3,X1,X2)
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rw,[status(thm)],[i_0_3090,c_0_2973]),
    [final] ).

cnf(i_0_3769,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OGets__imp__analz__Spy__dest_0,
    [final] ).

cnf(i_0_3770,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_2,
    [final] ).

cnf(i_0_3771,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1)
    | c_Numeral_Onumber__of(X3,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_Parity_Opower__le__zero__eq__number__of_4,
    [final] ).

cnf(i_0_3772,plain,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3091,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3773,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3092,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3774,plain,
    c_Relation_OImage(c_Relation_Odiag(c_uminus(X1,tc_set(X2)),X2),X1,X2,X2) = c_emptyset,
    inference(rw,[status(thm)],[i_0_3093,c_0_2989]),
    [final] ).

cnf(i_0_3775,axiom,
    ( c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_set(X3)) ),
    cls_Set_Oinsert__subset_2,
    [final] ).

cnf(i_0_3776,plain,
    c_Nat_Osize(c_Message_Omsg_OMPair(X1,X2),tc_Message_Omsg) = c_plus(c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Nat_Osize(X2,tc_Message_Omsg),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3094,c_0_2973]),
    [final] ).

cnf(i_0_3777,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_times(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Power_Orecpower(X1) ),
    cls_NatBin_Opower2__eq__square__number__of_0,
    [final] ).

cnf(i_0_3778,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_0,
    [final] ).

cnf(i_0_3779,plain,
    ( c_List_Oupt(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat)) = c_append(c_List_Oupt(X1,X2),c_List_Olist_OCons(X2,c_List_Olist_ONil,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3095,c_0_2973]),
    [final] ).

cnf(i_0_3780,plain,
    ( c_List_Onth(c_List_Osublist(X3,c_SetInterval_OlessThan(X2,tc_nat),X4),X1,X4) = c_List_Onth(X3,X1,X4)
    | ~ c_less(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3096,c_0_2984]),
    [final] ).

cnf(i_0_3781,axiom,
    ( c_less(c_divide(X2,X3,X1),c_1,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(c_0,X3,X1) ),
    cls_Ring__and__Field_Odivide__less__eq__1__pos_1,
    [final] ).

cnf(i_0_3782,axiom,
    ( c_lessequals(c_divide(X3,X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_Ring__and__Field_Odivide__le__eq__1__pos_1,
    [final] ).

cnf(i_0_3783,axiom,
    ( c_less(c_divide(X3,X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X2,c_0,X1) ),
    cls_Ring__and__Field_Odivide__less__eq__1__neg_1,
    [final] ).

cnf(i_0_3784,axiom,
    ( c_lessequals(c_divide(X3,X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_Ring__and__Field_Odivide__le__eq__1__neg_1,
    [final] ).

cnf(i_0_3785,axiom,
    ( c_less(c_1,c_divide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(c_0,X2,X1) ),
    cls_Ring__and__Field_Oless__divide__eq__1__pos_1,
    [final] ).

cnf(i_0_3786,axiom,
    ( c_lessequals(c_1,c_divide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_Ring__and__Field_Ole__divide__eq__1__pos_1,
    [final] ).

cnf(i_0_3787,axiom,
    ( c_less(c_1,c_divide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X3,c_0,X1) ),
    cls_Ring__and__Field_Oless__divide__eq__1__neg_1,
    [final] ).

cnf(i_0_3788,axiom,
    ( c_lessequals(c_1,c_divide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_Ring__and__Field_Ole__divide__eq__1__neg_1,
    [final] ).

cnf(i_0_3789,axiom,
    ( c_in(c_Main_OMax__less__iff__1(X2,X3,X1),X2,X1)
    | c_less(c_Finite__Set_OMax(X2,X1),X3,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMax__less__iff_1,
    [final] ).

cnf(i_0_3790,axiom,
    ( c_in(c_Main_OMax__le__iff__1(X2,X3,X1),X2,X1)
    | c_lessequals(c_Finite__Set_OMax(X2,X1),X3,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMax__le__iff_1,
    [final] ).

cnf(i_0_3791,axiom,
    ( c_in(c_Main_OMin__gr__iff__1(X2,X3,X1),X2,X1)
    | c_less(X3,c_Finite__Set_OMin(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMin__gr__iff_1,
    [final] ).

cnf(i_0_3792,axiom,
    ( c_in(c_Main_OMin__ge__iff__1(X2,X3,X1),X2,X1)
    | c_lessequals(X3,c_Finite__Set_OMin(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMin__ge__iff_1,
    [final] ).

cnf(i_0_3793,axiom,
    ( c_less(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Nat_Onat__add__left__cancel__less_1,
    [final] ).

cnf(i_0_3794,axiom,
    ( c_lessequals(c_plus(X3,X1,tc_nat),c_plus(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_Onat__add__left__cancel__le_1,
    [final] ).

cnf(i_0_3795,axiom,
    ( c_lessequals(c_times(X1,X3,tc_nat),c_times(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_Omult__le__cancel2_2,
    [final] ).

cnf(i_0_3796,axiom,
    ( c_lessequals(c_times(X3,X1,tc_nat),c_times(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_Omult__le__cancel1_2,
    [final] ).

cnf(i_0_3797,plain,
    c_List_Osublist(c_List_Oreplicate(X2,X3,X4),c_SetInterval_OlessThan(X1,tc_nat),X4) = c_List_Oreplicate(c_Orderings_Omin(X1,X2,tc_nat),X3,X4),
    inference(rw,[status(thm)],[i_0_3097,c_0_2984]),
    [final] ).

cnf(i_0_3798,axiom,
    ( c_less(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X4,X3,X1) ),
    cls_Orderings_Omax__less__iff__conj_2,
    [final] ).

cnf(i_0_3799,axiom,
    ( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,
    [final] ).

cnf(i_0_3800,axiom,
    ( c_less(X2,c_Orderings_Omin(X4,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X2,X4,X1) ),
    cls_Orderings_Omin__less__iff__conj_2,
    [final] ).

cnf(i_0_3801,axiom,
    ( c_lessequals(X2,c_Orderings_Omin(X4,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_2,
    [final] ).

cnf(i_0_3802,axiom,
    ( c_in(X2,c_SetInterval_OgreaterThanLessThan(X4,X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_less(X4,X2,X1) ),
    cls_SetInterval_OgreaterThanLessThan__iff_2,
    [final] ).

cnf(i_0_3803,axiom,
    ( c_in(X2,c_SetInterval_OatLeastLessThan(X4,X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    cls_SetInterval_OatLeastLessThan__iff_2,
    [final] ).

cnf(i_0_3804,axiom,
    ( c_in(X2,c_SetInterval_OatLeastAtMost(X4,X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    cls_SetInterval_OatLeastAtMost__iff_2,
    [final] ).

cnf(i_0_3805,axiom,
    ( c_in(X3,c_SetInterval_OgreaterThanAtMost(X2,X4,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_SetInterval_OgreaterThanAtMost__iff_2,
    [final] ).

cnf(i_0_3806,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_3807,axiom,
    ( c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    cls_Message_OFake__analz__eq_0,
    [final] ).

cnf(i_0_3808,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),c_0,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(X2,c_0,X1) ),
    cls_Parity_Opower__less__zero__eq__number__of_2,
    [final] ).

cnf(i_0_3809,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,X2,X1) ),
    cls_Parity_Ozero__less__power__eq__number__of_5,
    [final] ).

cnf(i_0_3810,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_Parity_Ozero__le__power__eq__number__of_2,
    [final] ).

cnf(i_0_3811,axiom,
    ( X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X2,X1),X1) ),
    cls_Power_Ozero__less__power__abs__iff_0,
    [final] ).

cnf(i_0_3812,axiom,
    ( X2 = c_0
    | c_divide(c_times(X2,X3,X1),c_times(X2,X4,X1),X1) = c_divide(X3,X4,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__left__if_1,
    [final] ).

cnf(i_0_3813,axiom,
    ( X2 = c_0
    | c_divide(c_times(X3,X2,X1),c_times(X4,X2,X1),X1) = c_divide(X3,X4,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__right__if_1,
    [final] ).

cnf(i_0_3814,axiom,
    ( c_HOL_Oabs(c_plus(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1),X1) = c_plus(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__add__abs_0,
    [final] ).

cnf(i_0_3815,axiom,
    ( c_divide(c_divide(X2,X3,X1),X4,X1) = c_divide(X2,c_times(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__divide__eq__left_0,
    [final] ).

cnf(i_0_3816,axiom,
    ( c_divide(X2,c_divide(X3,X4,X1),X1) = c_divide(c_times(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__divide__eq__right_0,
    [final] ).

cnf(i_0_3817,axiom,
    ( c_in(c_minus(X3,X2,X1),c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_in(X2,c_IntDef_OInts,X1)
    | ~ c_in(X3,c_IntDef_OInts,X1) ),
    cls_IntDef_OInts__diff_0,
    [final] ).

cnf(i_0_3818,axiom,
    ( c_in(c_plus(X3,X2,X1),c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ c_in(X2,c_IntDef_ONats,X1)
    | ~ c_in(X3,c_IntDef_ONats,X1) ),
    cls_IntDef_ONats__add_0,
    [final] ).

cnf(i_0_3819,axiom,
    ( c_in(c_plus(X3,X2,X1),c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_in(X2,c_IntDef_OInts,X1)
    | ~ c_in(X3,c_IntDef_OInts,X1) ),
    cls_IntDef_OInts__add_0,
    [final] ).

cnf(i_0_3820,axiom,
    ( c_in(c_times(X3,X2,X1),c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ c_in(X2,c_IntDef_ONats,X1)
    | ~ c_in(X3,c_IntDef_ONats,X1) ),
    cls_IntDef_ONats__mult_0,
    [final] ).

cnf(i_0_3821,axiom,
    ( c_in(c_times(X3,X2,X1),c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_in(X2,c_IntDef_OInts,X1)
    | ~ c_in(X3,c_IntDef_OInts,X1) ),
    cls_IntDef_OInts__mult_0,
    [final] ).

cnf(i_0_3822,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInter__iff__1(X1,X2,X3),X3) ),
    cls_Set_OInter__iff_2,
    [final] ).

cnf(i_0_3823,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_3824,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_Yahalom_OSpy__analz__shrK_0,
    [final] ).

cnf(i_0_3825,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    cls_Yahalom_OSpy__see__shrK_0,
    [final] ).

cnf(i_0_3826,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_IntDef_Onat(c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_nat),tc_IntDef_Oint)) ),
    cls_NatBin_Opower__nat__number__of__number__of_1,
    [final] ).

cnf(i_0_3827,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)) ),
    cls_NatBin_Odiv__nat__number__of_1,
    [final] ).

cnf(i_0_3828,axiom,
    ( c_List_Oset(c_List_Oremove1(X3,X1,X2),X2) = c_minus(c_List_Oset(X1,X2),c_insert(X3,c_emptyset,X2),tc_set(X2))
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Oset__remove1__eq_0,
    [final] ).

cnf(i_0_3829,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_1,
    [final] ).

cnf(i_0_3830,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_1,
    [final] ).

cnf(i_0_3831,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_3832,axiom,
    ( c_in(c_List_Onth(X2,X1,X3),c_List_Oset(X2,X3),X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    cls_List_Onth__mem_0,
    [final] ).

cnf(i_0_3833,axiom,
    ( c_times(c_divide(X2,X3,X1),X4,X1) = c_divide(c_times(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Otimes__divide__eq__2_0,
    [final] ).

cnf(i_0_3834,axiom,
    ( c_times(X2,c_divide(X3,X4,X1),X1) = c_divide(c_times(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Otimes__divide__eq__1_0,
    [final] ).

cnf(i_0_3835,axiom,
    ( c_less(c_uminus(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1) ),
    cls_NatSimprocs_Ominus__less__iff__number__of_1,
    [final] ).

cnf(i_0_3836,axiom,
    ( c_lessequals(c_uminus(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1) ),
    cls_NatSimprocs_Ominus__le__iff__number__of_1,
    [final] ).

cnf(i_0_3837,axiom,
    ( c_less(c_Numeral_Onumber__of(X3,X1),c_uminus(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X1) ),
    cls_NatSimprocs_Oless__minus__iff__number__of_1,
    [final] ).

cnf(i_0_3838,axiom,
    ( c_lessequals(c_Numeral_Onumber__of(X3,X1),c_uminus(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X1) ),
    cls_NatSimprocs_Ole__minus__iff__number__of_1,
    [final] ).

cnf(i_0_3839,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_3840,axiom,
    c_List_Olast(c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3) = X2,
    cls_List_Olast__snoc_0,
    [final] ).

cnf(i_0_3841,axiom,
    c_List_Obutlast(c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3),X3) = X1,
    cls_List_Obutlast__snoc_0,
    [final] ).

cnf(i_0_3842,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    cls_Set_ODiff__iff_0,
    [final] ).

cnf(i_0_3843,axiom,
    ( X2 = X1
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(X2,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | c_IntDef_OAbs__Integ(X2) != c_IntDef_OAbs__Integ(X1) ),
    cls_IntDef_OInteg_OAbs__Integ__inject_0,
    [final] ).

cnf(i_0_3844,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    cls_conjecture_7,
    [final] ).

cnf(i_0_3845,axiom,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    cls_Event_Oknows__Spy__Notes_0,
    [final] ).

cnf(i_0_3846,plain,
    ( c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint))
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3098,c_0_2973]),
    [final] ).

cnf(i_0_3847,axiom,
    ( X1 = X2
    | c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
    cls_List_Oremove1_Osimps__2_1,
    [final] ).

cnf(i_0_3848,axiom,
    ( c_lessequals(X1,X4,tc_set(X3))
    | ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
    cls_Set_OUn__subset__iff_0,
    [final] ).

cnf(i_0_3849,axiom,
    ( c_lessequals(X2,X4,tc_set(X3))
    | ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
    cls_Set_OUn__subset__iff_1,
    [final] ).

cnf(i_0_3850,axiom,
    ( c_lessequals(X2,X4,tc_set(X3))
    | ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
    cls_Set_Oinsert__subset_1,
    [final] ).

cnf(i_0_3851,plain,
    ( c_Numeral_Onumber__of(X2,X1) = c_Numeral_Onumber__of(X3,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3099,c_0_3021]),
    [final] ).

cnf(i_0_3852,axiom,
    ( c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    cls_Message_OMPair__synth__analz_2,
    [final] ).

cnf(i_0_3853,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_Oanalz__Crypt__if_1,
    [final] ).

cnf(i_0_3854,plain,
    c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rw,[status(thm)],[i_0_3100,c_0_2973]),
    [final] ).

cnf(i_0_3855,axiom,
    c_append(c_append(X1,X2,X3),X4,X3) = c_append(X1,c_append(X2,X4,X3),X3),
    cls_List_Oappend__assoc_0,
    [final] ).

cnf(i_0_3856,axiom,
    c_append(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_append(X2,X4,X3),X3),
    cls_List_Oop_A_64_Oappend__Cons_0,
    [final] ).

cnf(i_0_3857,axiom,
    c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
    cls_Set_OUn__insert__left_0,
    [final] ).

cnf(i_0_3858,axiom,
    c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
    cls_Set_OUn__insert__right_0,
    [final] ).

cnf(i_0_3859,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_0,
    [final] ).

cnf(i_0_3860,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_1,
    [final] ).

cnf(i_0_3861,axiom,
    ( c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_insert(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    cls_Finite__Set_Ofinite__insert_0,
    [final] ).

cnf(i_0_3862,axiom,
    ( c_less(c_minus(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    cls_NatArith_Odiff__less_0,
    [final] ).

cnf(i_0_3863,axiom,
    ( c_less(c_div(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_1,X2,tc_nat) ),
    cls_Divides_Odiv__less__dividend_0,
    [final] ).

cnf(i_0_3864,axiom,
    c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_minus(X2,X1,tc_nat),X3,X4),
    cls_List_Odrop__replicate_0,
    [final] ).

cnf(i_0_3865,axiom,
    c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(c_plus(X1,X2,tc_nat),X3,X4),
    cls_List_Odrop__drop_0,
    [final] ).

cnf(i_0_3866,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(c_plus(X2,X2,X1),c_0,X1) ),
    cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_0,
    [final] ).

cnf(i_0_3867,axiom,
    ( c_less(c_0,c_times(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    cls_Nat_Onat__0__less__mult__iff_2,
    [final] ).

cnf(i_0_3868,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_3869,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
    cls_Set_Oinsert__subset_0,
    [final] ).

cnf(i_0_3870,axiom,
    ( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    cls_List_Odistinct_Osimps__2_0,
    [final] ).

cnf(i_0_3871,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1) ),
    inference(rw,[status(thm)],[i_0_3101,c_0_3021]),
    [final] ).

cnf(i_0_3872,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
    cls_Orderings_Omax__less__iff__conj_0,
    [final] ).

cnf(i_0_3873,axiom,
    ( c_less(X3,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
    cls_Orderings_Omax__less__iff__conj_1,
    [final] ).

cnf(i_0_3874,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
    cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0,
    [final] ).

cnf(i_0_3875,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
    cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1,
    [final] ).

cnf(i_0_3876,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,c_Orderings_Omin(X3,X4,X1),X1) ),
    cls_Orderings_Omin__less__iff__conj_0,
    [final] ).

cnf(i_0_3877,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X3,X4,X1),X1) ),
    cls_SetInterval_OgreaterThanLessThan__iff_1,
    [final] ).

cnf(i_0_3878,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X3,X4,X1),X1) ),
    cls_SetInterval_OatLeastLessThan__iff_1,
    [final] ).

cnf(i_0_3879,axiom,
    ( c_less(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,c_Orderings_Omin(X3,X4,X1),X1) ),
    cls_Orderings_Omin__less__iff__conj_1,
    [final] ).

cnf(i_0_3880,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X3,X4,X1),X1) ),
    cls_SetInterval_OgreaterThanLessThan__iff_0,
    [final] ).

cnf(i_0_3881,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X3,X4,X1),X1) ),
    cls_SetInterval_OgreaterThanAtMost__iff_0,
    [final] ).

cnf(i_0_3882,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Omin(X3,X4,X1),X1) ),
    cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_0,
    [final] ).

cnf(i_0_3883,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X3,X4,X1),X1) ),
    cls_SetInterval_OgreaterThanAtMost__iff_1,
    [final] ).

cnf(i_0_3884,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X3,X4,X1),X1) ),
    cls_SetInterval_OatLeastAtMost__iff_1,
    [final] ).

cnf(i_0_3885,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Omin(X3,X4,X1),X1) ),
    cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_1,
    [final] ).

cnf(i_0_3886,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X3,X4,X1),X1) ),
    cls_SetInterval_OatLeastLessThan__iff_0,
    [final] ).

cnf(i_0_3887,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X3,X4,X1),X1) ),
    cls_SetInterval_OatLeastAtMost__iff_0,
    [final] ).

cnf(i_0_3888,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_Oanalz_ODecrypt__dest_0,
    [final] ).

cnf(i_0_3889,axiom,
    ( c_NatArith_Oof__nat(c_minus(X3,X2,tc_nat),X1) = c_minus(c_NatArith_Oof__nat(X3,X1),c_NatArith_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    cls_NatArith_Oof__nat__diff_0,
    [final] ).

cnf(i_0_3890,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_ODiff__iff_2,
    [final] ).

cnf(i_0_3891,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_3892,plain,
    c_append(c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X3),c_List_Odrop(X1,X2,X3),X3) = X2,
    inference(rw,[status(thm)],[i_0_3102,c_0_2984]),
    [final] ).

cnf(i_0_3893,axiom,
    ( c_less(c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) ),
    cls_NatSimprocs_Ominus__less__iff__number__of_0,
    [final] ).

cnf(i_0_3894,axiom,
    ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X3,X1),X1),X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) ),
    cls_NatSimprocs_Ominus__le__iff__number__of_0,
    [final] ).

cnf(i_0_3895,axiom,
    ( c_less(X3,c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_uminus(X3,X1),X1) ),
    cls_NatSimprocs_Oless__minus__iff__number__of_0,
    [final] ).

cnf(i_0_3896,axiom,
    ( c_lessequals(X3,c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_Numeral_Onumber__of(X2,X1),c_uminus(X3,X1),X1) ),
    cls_NatSimprocs_Ole__minus__iff__number__of_0,
    [final] ).

cnf(i_0_3897,axiom,
    ( c_less(c_0,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_divide(c_1,X2,X1),X1) ),
    cls_Ring__and__Field_Ozero__less__divide__1__iff_0,
    [final] ).

cnf(i_0_3898,axiom,
    ( c_lessequals(c_0,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_divide(c_1,X2,X1),X1) ),
    cls_Ring__and__Field_Ozero__le__divide__1__iff_0,
    [final] ).

cnf(i_0_3899,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_divide(c_1,X2,X1),c_0,X1) ),
    cls_Ring__and__Field_Odivide__less__0__1__iff_0,
    [final] ).

cnf(i_0_3900,axiom,
    ( c_lessequals(X2,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_divide(c_1,X2,X1),c_0,X1) ),
    cls_Ring__and__Field_Odivide__le__0__1__iff_0,
    [final] ).

cnf(i_0_3901,axiom,
    ( c_minus(c_insert(X1,X4,X3),X2,tc_set(X3)) = c_minus(X4,X2,tc_set(X3))
    | ~ c_in(X1,X2,X3) ),
    cls_Set_Oinsert__Diff1_0,
    [final] ).

cnf(i_0_3902,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_minus(X2,X3,X1),c_0,X1) ),
    cls_OrderedGroup_Odiff__less__0__iff__less_0,
    [final] ).

cnf(i_0_3903,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_minus(X2,X3,X1),c_0,X1) ),
    cls_OrderedGroup_Odiff__le__0__iff__le_0,
    [final] ).

cnf(i_0_3904,axiom,
    ( X1 = c_0
    | c_div(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    cls_IntDiv_Ozdiv__zadd__self1_0,
    [final] ).

cnf(i_0_3905,axiom,
    ( X1 = c_0
    | c_div(c_plus(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_plus(c_div(X2,X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    cls_IntDiv_Ozdiv__zadd__self2_0,
    [final] ).

cnf(i_0_3906,axiom,
    c_minus(c_minus(X1,X2,tc_nat),X3,tc_nat) = c_minus(X1,c_plus(X2,X3,tc_nat),tc_nat),
    cls_Nat_Odiff__diff__left_0,
    [final] ).

cnf(i_0_3907,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_lessequals(c_times(X1,X2,tc_nat),c_times(X1,X3,tc_nat),tc_nat) ),
    cls_Nat_Omult__le__cancel1_1,
    [final] ).

cnf(i_0_3908,axiom,
    ( c_less(c_0,X1,tc_nat)
    | c_lessequals(c_times(X2,X1,tc_nat),c_times(X3,X1,tc_nat),tc_nat) ),
    cls_Nat_Omult__le__cancel2_1,
    [final] ).

cnf(i_0_3909,axiom,
    ( c_lessequals(c_0,X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_0,c_plus(X2,X2,X1),X1) ),
    cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_0,
    [final] ).

cnf(i_0_3910,axiom,
    ( c_lessequals(X2,c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_plus(X2,X2,X1),c_0,X1) ),
    cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_0,
    [final] ).

cnf(i_0_3911,plain,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),c_uminus(X1,tc_set(X2)),X2,X2) = c_emptyset,
    inference(rw,[status(thm)],[i_0_3103,c_0_2989]),
    [final] ).

cnf(i_0_3912,axiom,
    ( c_List_Oop_Amem(X1,X3,X4)
    | X2 = X1
    | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
    cls_List_Oop_Amem_Osimps__2_0,
    [final] ).

cnf(i_0_3913,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_Oinsert__iff_0,
    [final] ).

cnf(i_0_3914,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    inference(rw,[status(thm)],[i_0_3104,c_0_3021]),
    [final] ).

cnf(i_0_3915,axiom,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Ozero__less__zpower__abs__iff_0,
    [final] ).

cnf(i_0_3916,axiom,
    c_div(c_plus(X1,X1,tc_nat),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) = X1,
    cls_NatSimprocs_Oadd__self__div__2_0,
    [final] ).

cnf(i_0_3917,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil,X3),X3),
    cls_List_Orev_Osimps__2_0,
    [final] ).

cnf(i_0_3918,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X3,X1),c_Numeral_Onumber__of(X2,X1),X1)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3105,c_0_3021]),
    [final] ).

cnf(i_0_3919,axiom,
    ( X2 = c_emptyset
    | c_Finite__Set_OMin(c_insert(X3,X2,X1),X1) = c_Orderings_Omin(X3,c_Finite__Set_OMin(X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMin__insert_0,
    [final] ).

cnf(i_0_3920,axiom,
    ( X2 = c_emptyset
    | c_Finite__Set_OMax(c_insert(X3,X2,X1),X1) = c_Orderings_Omax(X3,c_Finite__Set_OMax(X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMax__insert_0,
    [final] ).

cnf(i_0_3921,plain,
    ( c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_lessequals(c_1,X1,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3106,c_0_2973]),
    [final] ).

cnf(i_0_3922,plain,
    ( c_0 = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3107,c_0_3021]),
    [final] ).

cnf(i_0_3923,axiom,
    ( c_less(X2,X1,tc_nat)
    | ~ c_less(c_0,c_minus(X1,X2,tc_nat),tc_nat) ),
    cls_Nat_Ozero__less__diff_0,
    [final] ).

cnf(i_0_3924,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X4,X5),X3,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X3) ),
    cls_Yahalom_OKeyWithNonce__Notes_1,
    [final] ).

cnf(i_0_3925,axiom,
    ( c_Yahalom_OKeyWithNonce(X1,X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X4,X5),X3,tc_Event_Oevent))
    | ~ c_Yahalom_OKeyWithNonce(X1,X2,X3) ),
    cls_Yahalom_OKeyWithNonce__Gets_1,
    [final] ).

cnf(i_0_3926,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist__inter(X4,X2,X3) ),
    cls_List_Olist__inter_Osimps__2_1,
    [final] ).

cnf(i_0_3927,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_times(X1,X2,tc_nat),tc_nat) ),
    cls_Nat_Onat__0__less__mult__iff_0,
    [final] ).

cnf(i_0_3928,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ c_less(c_0,c_times(X1,X2,tc_nat),tc_nat) ),
    cls_Nat_Onat__0__less__mult__iff_1,
    [final] ).

cnf(i_0_3929,axiom,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntArith_Ozle__diff1__eq_0,
    [final] ).

cnf(i_0_3930,axiom,
    ( c_lessequals(X1,X2,tc_IntDef_Oint)
    | ~ c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntArith_Ozle__add1__eq__le_0,
    [final] ).

cnf(i_0_3931,axiom,
    ( c_in(c_Main_OUnion__iff__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    cls_Set_OUnion__iff_0,
    [final] ).

cnf(i_0_3932,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_3933,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3108,c_0_3021]),
    [final] ).

cnf(i_0_3934,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    cls_Yahalom_OSpy__analz__shrK_1,
    [final] ).

cnf(i_0_3935,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    cls_Yahalom_OSpy__see__shrK_1,
    [final] ).

cnf(i_0_3936,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_0,
    [final] ).

cnf(i_0_3937,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)
    | c_1 != c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3109,c_0_3021]),
    [final] ).

cnf(i_0_3938,axiom,
    ( c_List_Osublist(c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X1,X3) = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | ~ c_in(c_0,X1,tc_nat) ),
    cls_List_Osublist__singleton_0,
    [final] ).

cnf(i_0_3939,plain,
    ( c_Numeral_Onumber__of(X2,X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1) ),
    inference(rw,[status(thm)],[i_0_3110,c_0_3021]),
    [final] ).

cnf(i_0_3940,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3111,c_0_3021]),
    [final] ).

cnf(i_0_3941,axiom,
    c_div(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_div(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDiv_Ozdiv__number__of__BIT_0,
    [final] ).

cnf(i_0_3942,plain,
    c_div(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_IntDef_Onat(c_div(c_1,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)),
    inference(rw,[status(thm)],[i_0_3112,c_0_2973]),
    [final] ).

cnf(i_0_3943,axiom,
    ( c_in(X1,c_Main_OUnion__iff__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    cls_Set_OUnion__iff_1,
    [final] ).

cnf(i_0_3944,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_3945,axiom,
    ( c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
    | c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    cls_Parity_Opower__le__zero__eq__number__of_5,
    [final] ).

cnf(i_0_3946,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_3947,plain,
    c_List_Odrop(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
    inference(rw,[status(thm)],[i_0_3113,c_0_2973]),
    [final] ).

cnf(i_0_3948,plain,
    c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Finite__Set_Ocard(c_SetInterval_OatMost(X4,tc_nat),tc_nat),X3) = c_List_Onth(X2,X4,X3),
    inference(rw,[status(thm)],[i_0_3114,c_0_2973]),
    [final] ).

cnf(i_0_3949,plain,
    c_List_Oreplicate(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
    inference(rw,[status(thm)],[i_0_3115,c_0_2973]),
    [final] ).

cnf(i_0_3950,plain,
    ( c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3116,c_0_3021]),
    [final] ).

cnf(i_0_3951,axiom,
    ( c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | c_in(c_Message_Omsg_OKey(v_sko__uhi(X2,X1)),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    cls_Event_OkeysFor__synth_H_0,
    [final] ).

cnf(i_0_3952,axiom,
    ( c_in(X1,X2,X3)
    | c_minus(X2,c_insert(X1,X4,X3),tc_set(X3)) = c_minus(X2,X4,tc_set(X3)) ),
    cls_Set_ODiff__insert0_0,
    [final] ).

cnf(i_0_3953,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Parity_Ozero__less__power__nat__eq__number__of_2,
    [final] ).

cnf(i_0_3954,axiom,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) ),
    cls_List_Oremdups_Osimps__2_1,
    [final] ).

cnf(i_0_3955,plain,
    c_Nat_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_plus(c_Nat_Osize(X2,tc_List_Olist(X3)),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3117,c_0_2973]),
    [final] ).

cnf(i_0_3956,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Anumber__of_Av_Amod_A2_A_61_A0_0,
    [final] ).

cnf(i_0_3957,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X2,X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    cls_Public_OSpy__spies__bad__privateKey_0,
    [final] ).

cnf(i_0_3958,axiom,
    ( c_List_Olast(c_List_Odrop(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | ~ c_less(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    cls_List_Olast__drop_0,
    [final] ).

cnf(i_0_3959,plain,
    c_times(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat) = c_plus(X2,c_times(X1,X2,tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3118,c_0_2973]),
    [final] ).

cnf(i_0_3960,plain,
    c_Nat_Opower(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_IntDef_Oint) = c_times(X1,c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rw,[status(thm)],[i_0_3119,c_0_2973]),
    [final] ).

cnf(i_0_3961,plain,
    c_Nat_Opower(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) = c_times(X1,c_Nat_Opower(X1,X2,tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3120,c_0_2973]),
    [final] ).

cnf(i_0_3962,plain,
    c_times(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) = c_plus(X1,c_times(X1,X2,tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3121,c_0_2973]),
    [final] ).

cnf(i_0_3963,axiom,
    ( c_less(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
    | X3 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    cls_Parity_Ozero__less__power__eq__number__of_4,
    [final] ).

cnf(i_0_3964,axiom,
    ( c_in(X4,X1,X3)
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Inter(X2,X3),X3) ),
    cls_Set_OInter__iff_0,
    [final] ).

cnf(i_0_3965,axiom,
    ( X1 = c_0
    | c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_minus(X1,c_1,tc_nat),X2,X3) ),
    cls_List_Otl__replicate_0,
    [final] ).

cnf(i_0_3966,axiom,
    ( c_divide(c_times(c_0,X2,X1),c_times(c_0,X3,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__left__if_0,
    [final] ).

cnf(i_0_3967,axiom,
    ( c_divide(c_times(X2,c_0,X1),c_times(X3,c_0,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__right__if_0,
    [final] ).

cnf(i_0_3968,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_0,
    [final] ).

cnf(i_0_3969,axiom,
    ( c_lessequals(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    cls_Parity_Ozero__le__power__eq__number__of_1,
    [final] ).

cnf(i_0_3970,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_0
    | c_divide(c_times(X3,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1) = X3
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Odivide__eq__eq__number__of_3,
    [final] ).

cnf(i_0_3971,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_0
    | c_times(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1) = X3
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Oeq__divide__eq__number__of_0,
    [final] ).

cnf(i_0_3972,axiom,
    ( X2 = c_divide(c_times(X2,c_Numeral_Onumber__of(X3,X1),X1),c_Numeral_Onumber__of(X3,X1),X1)
    | c_Numeral_Onumber__of(X3,X1) = c_0
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Oeq__divide__eq__number__of_3,
    [final] ).

cnf(i_0_3973,axiom,
    ( X2 = c_times(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),c_Numeral_Onumber__of(X3,X1),X1)
    | c_Numeral_Onumber__of(X3,X1) = c_0
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Odivide__eq__eq__number__of_0,
    [final] ).

cnf(i_0_3974,plain,
    ( c_less(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3122,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3975,plain,
    ( c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3123,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_3976,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_3977,plain,
    c_union(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId,tc_prod(X2,X2)) = c_Transitive__Closure_Otrancl(c_union(X1,c_Relation_OId,tc_prod(X2,X2)),X2),
    inference(rw,[status(thm)],[i_0_3124,c_0_2967]),
    [final] ).

cnf(i_0_3978,plain,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),X1,X2,X2) = X1,
    inference(rw,[status(thm)],[i_0_3125,c_0_2989]),
    [final] ).

cnf(i_0_3979,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    cls_Message_OCrypt__synth__eq_0,
    [final] ).

cnf(i_0_3980,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__synth_1,
    [final] ).

cnf(i_0_3981,axiom,
    ( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    cls_Message_OCrypt__synth_1,
    [final] ).

cnf(i_0_3982,axiom,
    ( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__synth_0,
    [final] ).

cnf(i_0_3983,plain,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),c_UNIV,X2,X2) = X1,
    inference(rw,[status(thm)],[i_0_3126,c_0_2989]),
    [final] ).

cnf(i_0_3984,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg) ),
    cls_Message_Osynth_OCrypt_0,
    [final] ).

cnf(i_0_3985,axiom,
    ( c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
    cls_Message_Osynth_OMPair_0,
    [final] ).

cnf(i_0_3986,plain,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),c_emptyset,X2,X2) = c_emptyset,
    inference(rw,[status(thm)],[i_0_3127,c_0_2989]),
    [final] ).

cnf(i_0_3987,axiom,
    ( X3 = X4
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,X2,X1)
    | c_Nat_Opower(X2,X3,X1) != c_Nat_Opower(X2,X4,X1) ),
    cls_Power_Opower__inject__exp_0,
    [final] ).

cnf(i_0_3988,axiom,
    ( c_in(c_minus(X1,X3,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Diff_0,
    [final] ).

cnf(i_0_3989,plain,
    c_Relation_OImage(c_Relation_Odiag(c_UNIV,X2),X1,X2,X2) = X1,
    inference(rw,[status(thm)],[i_0_3128,c_0_2989]),
    [final] ).

cnf(i_0_3990,plain,
    ( c_lessequals(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3129,c_0_3021]),
    [final] ).

cnf(i_0_3991,plain,
    c_Relation_OImage(c_Relation_Odiag(c_emptyset,X2),X1,X2,X2) = c_emptyset,
    inference(rw,[status(thm)],[i_0_3130,c_0_2989]),
    [final] ).

cnf(i_0_3992,axiom,
    ( X3 = c_emptyset
    | c_Orderings_Omin(X2,c_Finite__Set_OMax(X3,X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Oinf__Sup__absorb_0,
    [final] ).

cnf(i_0_3993,axiom,
    ( X3 = c_emptyset
    | c_Orderings_Omax(X2,c_Finite__Set_OMin(X3,X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Osup__Inf__absorb_0,
    [final] ).

cnf(i_0_3994,axiom,
    ( c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    cls_Message_OCrypt__synth__eq_1,
    [final] ).

cnf(i_0_3995,axiom,
    ( c_lessequals(c_Finite__Set_OMin(X3,X1),X2,X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMin__le_0,
    [final] ).

cnf(i_0_3996,axiom,
    ( c_lessequals(X2,c_Finite__Set_OMax(X3,X1),X1)
    | X3 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMax__ge_0,
    [final] ).

cnf(i_0_3997,plain,
    c_Relation_OImage(c_Relation_Odiag(c_UNIV,X1),c_UNIV,X1,X1) = c_UNIV,
    inference(rw,[status(thm)],[i_0_3131,c_0_2989]),
    [final] ).

cnf(i_0_3998,plain,
    ( c_times(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X3,X1) = c_times(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),X1),X3,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3132,c_0_3021]),
    [final] ).

cnf(i_0_3999,axiom,
    ( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
    cls_Public_OCrypt__imp__keysFor_0,
    [final] ).

cnf(i_0_4000,plain,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X2,X1),X1)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3133,c_0_3021]),
    [final] ).

cnf(i_0_4001,plain,
    c_Nat_Osize(c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X3),tc_List_Olist(X3)) = c_Orderings_Omin(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    inference(rw,[status(thm)],[i_0_3134,c_0_2984]),
    [final] ).

cnf(i_0_4002,axiom,
    ( c_in(X1,c_Union(X4,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    cls_Set_OUnion__iff_2,
    [final] ).

cnf(i_0_4003,axiom,
    ( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3)
    | ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
    cls_List_Oremdups_Osimps__2_0,
    [final] ).

cnf(i_0_4004,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_4005,axiom,
    ( c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    cls_List_Odrop__Cons__number__of_0,
    [final] ).

cnf(i_0_4006,axiom,
    ( c_less(c_plus(X2,X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_less(X2,c_0,X1) ),
    cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_1,
    [final] ).

cnf(i_0_4007,axiom,
    ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1) = c_0
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Odivide__eq__eq__number__of_4,
    [final] ).

cnf(i_0_4008,axiom,
    ( c_0 = c_divide(c_times(c_0,c_Numeral_Onumber__of(X2,X1),X1),c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Oeq__divide__eq__number__of_4,
    [final] ).

cnf(i_0_4009,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
    | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_Oanalz__insert__Key_0,
    [final] ).

cnf(i_0_4010,axiom,
    c_Nat_Osize(c_append(X1,X2,X3),tc_List_Olist(X3)) = c_plus(c_Nat_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat),
    cls_List_Olength__append_0,
    [final] ).

cnf(i_0_4011,axiom,
    ( c_less(c_divide(c_1,X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1) ),
    cls_Ring__and__Field_Odivide__less__0__1__iff_1,
    [final] ).

cnf(i_0_4012,axiom,
    ( c_lessequals(c_divide(c_1,X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_Ring__and__Field_Odivide__le__0__1__iff_1,
    [final] ).

cnf(i_0_4013,axiom,
    ( c_less(c_0,c_divide(c_1,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1) ),
    cls_Ring__and__Field_Ozero__less__divide__1__iff_1,
    [final] ).

cnf(i_0_4014,axiom,
    ( c_lessequals(c_0,c_divide(c_1,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_Ring__and__Field_Ozero__le__divide__1__iff_1,
    [final] ).

cnf(i_0_4015,axiom,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 ),
    cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_1,
    [final] ).

cnf(i_0_4016,axiom,
    ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) != c_0 ),
    cls_NatBin_Odvd__eq__mod__eq__0__number__of_1,
    [final] ).

cnf(i_0_4017,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Ozdvd__iff__zmod__eq__0__number__of_0,
    [final] ).

cnf(i_0_4018,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
    | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    cls_NatBin_Odvd__eq__mod__eq__0__number__of_0,
    [final] ).

cnf(i_0_4019,axiom,
    ( c_less(c_minus(X2,X3,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_OrderedGroup_Odiff__less__0__iff__less_1,
    [final] ).

cnf(i_0_4020,axiom,
    ( c_lessequals(c_minus(X2,X3,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_OrderedGroup_Odiff__le__0__iff__le_1,
    [final] ).

cnf(i_0_4021,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
    cls_Set_OsingletonD__dest_0,
    [final] ).

cnf(i_0_4022,axiom,
    ( c_Nat_Opower(c_HOL_Oabs(X3,X1),c_Numeral_Onumber__of(X2,tc_nat),X1) = c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    cls_Parity_Opower__even__abs__number__of_0,
    [final] ).

cnf(i_0_4023,axiom,
    ( c_lessequals(c_plus(X2,X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_1,
    [final] ).

cnf(i_0_4024,axiom,
    ( c_lessequals(c_0,c_plus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_1,
    [final] ).

cnf(i_0_4025,plain,
    ( c_minus(c_Numeral_Onumber__of(X2,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3135,c_0_3021]),
    [final] ).

cnf(i_0_4026,plain,
    ( c_List_Osublist(c_List_Olist_OCons(X2,X3,X4),c_SetInterval_OlessThan(c_Numeral_Onumber__of(X1,tc_nat),tc_nat),X4) = c_List_Olist_ONil
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    inference(rw,[status(thm)],[i_0_3136,c_0_2984]),
    [final] ).

cnf(i_0_4027,axiom,
    ( c_minus(c_insert(X2,c_emptyset,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1)) = c_insert(X2,c_emptyset,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_SetInterval_Osingle__Diff__lessThan_0,
    [final] ).

cnf(i_0_4028,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInter__iff__1(X1,X2,X3),X2,tc_set(X3)) ),
    cls_Set_OInter__iff_1,
    [final] ).

cnf(i_0_4029,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_4030,axiom,
    ( c_List_Oop_Amem(X1,c_List_Olist_OCons(X4,X2,X3),X3)
    | ~ c_List_Oop_Amem(X1,X2,X3) ),
    cls_List_Oop_Amem_Osimps__2_2,
    [final] ).

cnf(i_0_4031,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUn__iff_1,
    [final] ).

cnf(i_0_4032,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUn__iff_2,
    [final] ).

cnf(i_0_4033,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_Oinsert__iff_2,
    [final] ).

cnf(i_0_4034,axiom,
    c_Relation_OImage(c_Relation_OId,X1,X2,X2) = X1,
    cls_Relation_OImage__Id_0,
    [final] ).

cnf(i_0_4035,axiom,
    c_Public_Okeymode_Okeymode__rec(X1,X2,c_Public_Okeymode_OEncryption,X3) = X2,
    cls_Public_Okeymode_Orecs__2_0,
    [final] ).

cnf(i_0_4036,axiom,
    c_Public_Okeymode_Okeymode__rec(X1,X2,c_Public_Okeymode_OSignature,X3) = X1,
    cls_Public_Okeymode_Orecs__1_0,
    [final] ).

cnf(i_0_4037,axiom,
    c_Public_Okeymode_Okeymode__case(X1,X2,c_Public_Okeymode_OEncryption,X3) = X2,
    cls_Public_Okeymode_Ocases__2_0,
    [final] ).

cnf(i_0_4038,axiom,
    c_Public_Okeymode_Okeymode__case(X1,X2,c_Public_Okeymode_OSignature,X3) = X1,
    cls_Public_Okeymode_Ocases__1_0,
    [final] ).

cnf(i_0_4039,axiom,
    c_Numeral_Obit_Obit__rec(X1,X2,c_Numeral_Obit_OB0,X3) = X1,
    cls_Numeral_Obit_Orecs__1_0,
    [final] ).

cnf(i_0_4040,axiom,
    c_Numeral_Obit_Obit__rec(X1,X2,c_Numeral_Obit_OB1,X3) = X2,
    cls_Numeral_Obit_Orecs__2_0,
    [final] ).

cnf(i_0_4041,axiom,
    c_Numeral_Obit_Obit__case(X1,X2,c_Numeral_Obit_OB0,X3) = X1,
    cls_Numeral_Obit_Ocases__1_0,
    [final] ).

cnf(i_0_4042,axiom,
    c_Numeral_Obit_Obit__case(X1,X2,c_Numeral_Obit_OB1,X3) = X2,
    cls_Numeral_Obit_Ocases__2_0,
    [final] ).

cnf(i_0_4043,axiom,
    c_Extraction_Osumbool_Osumbool__rec(X1,X2,c_Extraction_Osumbool_ORight,X3) = X2,
    cls_Extraction_Osumbool_Orecs__2_0,
    [final] ).

cnf(i_0_4044,axiom,
    c_Extraction_Osumbool_Osumbool__rec(X1,X2,c_Extraction_Osumbool_OLeft,X3) = X1,
    cls_Extraction_Osumbool_Orecs__1_0,
    [final] ).

cnf(i_0_4045,axiom,
    c_Extraction_Osumbool_Osumbool__case(X1,X2,c_Extraction_Osumbool_ORight,X3) = X2,
    cls_Extraction_Osumbool_Ocases__2_0,
    [final] ).

cnf(i_0_4046,axiom,
    c_Extraction_Osumbool_Osumbool__case(X1,X2,c_Extraction_Osumbool_OLeft,X3) = X1,
    cls_Extraction_Osumbool_Ocases__1_0,
    [final] ).

cnf(i_0_4047,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
    cls_Nat_Onot__add__less1_0,
    [final] ).

cnf(i_0_4048,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
    cls_Nat_Onot__add__less2_0,
    [final] ).

cnf(i_0_4049,axiom,
    ( c_List_Onth(c_List_Oreplicate(X2,X3,X4),X1,X4) = X3
    | ~ c_less(X1,X2,tc_nat) ),
    cls_List_Onth__replicate_0,
    [final] ).

cnf(i_0_4050,axiom,
    c_List_Ozip(c_List_Olist_ONil,X1,X2,X3) = c_List_Olist_ONil,
    cls_List_Ozip__Nil_0,
    [final] ).

cnf(i_0_4051,axiom,
    c_List_Olist__update(c_List_Olist_ONil,X1,X2,X3) = c_List_Olist_ONil,
    cls_List_Olist__update_Osimps__1_0,
    [final] ).

cnf(i_0_4052,axiom,
    c_Datatype__Universe_Ontrunc(c_0,X1,X2,X3) = c_emptyset,
    cls_Datatype__Universe_Ontrunc__0_0,
    [final] ).

cnf(i_0_4053,axiom,
    c_List_Ozip(X1,c_List_Olist_ONil,X2,X3) = c_List_Olist_ONil,
    cls_List_Ozip_Osimps__1_0,
    [final] ).

cnf(i_0_4054,axiom,
    c_Relation_OImage(X1,c_emptyset,X2,X3) = c_emptyset,
    cls_Relation_OImage__empty_0,
    [final] ).

cnf(i_0_4055,axiom,
    c_Sum__Type_OPlus(c_UNIV,c_UNIV,X1,X2) = c_UNIV,
    cls_Sum__Type_OUNIV__Plus__UNIV_0,
    [final] ).

cnf(i_0_4056,plain,
    c_List_Orotate(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
    inference(rw,[status(thm)],[i_0_3137,c_0_2973]),
    [final] ).

cnf(i_0_4057,plain,
    ( c_less(c_1,X1,tc_IntDef_Oint)
    | ~ c_less(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_IntDef_Onat(X1),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3138,c_0_2973]),
    [final] ).

cnf(i_0_4058,plain,
    c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) = c_minus(X1,X2,tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3139,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_4059,axiom,
    ( c_plus(c_minus(X2,X1,tc_nat),X1,tc_nat) = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_Ole__add__diff__inverse2_0,
    [final] ).

cnf(i_0_4060,axiom,
    ( c_minus(X2,c_minus(X2,X1,tc_nat),tc_nat) = X1
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_NatArith_Odiff__diff__cancel_0,
    [final] ).

cnf(i_0_4061,axiom,
    ( c_plus(X1,c_minus(X2,X1,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_Ole__add__diff__inverse_0,
    [final] ).

cnf(i_0_4062,axiom,
    ( c_HOL_Oinverse(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Oinverse__mult__distrib_0,
    [final] ).

cnf(i_0_4063,axiom,
    ( c_HOL_Oabs(c_divide(X2,X3,X1),X1) = c_divide(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    cls_Ring__and__Field_Oabs__divide_0,
    [final] ).

cnf(i_0_4064,axiom,
    ( X1 = c_0
    | ~ c_less(c_0,c_Nat_Opower(c_0,X1,tc_nat),tc_nat) ),
    cls_Power_Onat__zero__less__power__iff_0,
    [final] ).

cnf(i_0_4065,axiom,
    ( c_less(c_0,c_Nat_Opower(X3,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
    cls_Parity_Ozero__less__power__eq__number__of_3,
    [final] ).

cnf(i_0_4066,axiom,
    c_minus(c_minus(X1,X2,tc_set(X3)),X2,tc_set(X3)) = c_minus(X1,X2,tc_set(X3)),
    cls_Set_ODiff__idemp_0,
    [final] ).

cnf(i_0_4067,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_0,
    [final] ).

cnf(i_0_4068,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_0,
    [final] ).

cnf(i_0_4069,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_0,
    [final] ).

cnf(i_0_4070,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_0,
    [final] ).

cnf(i_0_4071,axiom,
    ( c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Nat_Ozero__less__diff_1,
    [final] ).

cnf(i_0_4072,axiom,
    c_List_Oconcat(c_append(X1,X2,tc_List_Olist(X3)),X3) = c_append(c_List_Oconcat(X1,X3),c_List_Oconcat(X2,X3),X3),
    cls_List_Oconcat__append_0,
    [final] ).

cnf(i_0_4073,axiom,
    c_Union(c_union(X1,X2,tc_set(X3)),X3) = c_union(c_Union(X1,X3),c_Union(X2,X3),X3),
    cls_Set_OUnion__Un__distrib_0,
    [final] ).

cnf(i_0_4074,axiom,
    ( c_div(c_times(X1,X2,tc_nat),X1,tc_nat) = X2
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Odiv__mult__self1__is__m_0,
    [final] ).

cnf(i_0_4075,axiom,
    ( c_div(c_times(X2,X1,tc_nat),X1,tc_nat) = X2
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Odiv__mult__self__is__m_0,
    [final] ).

cnf(i_0_4076,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil,X2),X2) = X1 ),
    cls_List_Oappend__butlast__last__id_0,
    [final] ).

cnf(i_0_4077,axiom,
    ( c_less(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    cls_IntDiv_Opos__mod__bound_0,
    [final] ).

cnf(i_0_4078,axiom,
    ( c_less(c_Divides_Oop_Amod(X2,X1,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Omod__less__divisor_0,
    [final] ).

cnf(i_0_4079,axiom,
    ( c_lessequals(c_Divides_Oop_Amod(X2,X1,tc_nat),X1,tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Omod__le__divisor_0,
    [final] ).

cnf(i_0_4080,axiom,
    ( c_less(X1,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Oneg__mod__bound_0,
    [final] ).

cnf(i_0_4081,axiom,
    ( c_less(X1,c_plus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
    cls_IntArith_Ozle__add1__eq__le_1,
    [final] ).

cnf(i_0_4082,axiom,
    ( c_lessequals(X1,c_minus(X2,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_IntDef_Oint) ),
    cls_IntArith_Ozle__diff1__eq_1,
    [final] ).

cnf(i_0_4083,plain,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),tc_nat) = c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),X1,tc_nat),
    inference(rw,[status(thm)],[i_0_3140,c_0_2973]),
    [final] ).

cnf(i_0_4084,plain,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat) = c_minus(X2,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3141,c_0_2973]),
    [final] ).

cnf(i_0_4085,axiom,
    ( X1 = X3
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X1,X4,X2) != c_append(X3,X5,X2) ),
    cls_List_Oappend__eq__append__conv_0,
    [final] ).

cnf(i_0_4086,axiom,
    ( X1 = X3
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X4,X1,X2) != c_append(X5,X3,X2) ),
    cls_List_Oappend__eq__append__conv_3,
    [final] ).

cnf(i_0_4087,axiom,
    ( X4 = X5
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X1,X4,X2) != c_append(X3,X5,X2) ),
    cls_List_Oappend__eq__append__conv_1,
    [final] ).

cnf(i_0_4088,axiom,
    ( X4 = X5
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X4,X1,X2) != c_append(X5,X3,X2) ),
    cls_List_Oappend__eq__append__conv_2,
    [final] ).

cnf(i_0_4089,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_4090,axiom,
    ( c_lessequals(c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
    | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
    cls_IntDiv_Oneg__mod__sign_0,
    [final] ).

cnf(i_0_4091,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_1,
    [final] ).

cnf(i_0_4092,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_2,
    [final] ).

cnf(i_0_4093,axiom,
    ( c_lessequals(c_0,c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    cls_IntDiv_Opos__mod__sign_0,
    [final] ).

cnf(i_0_4094,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1),X1)
    | c_Numeral_Onumber__of(X2,X1) != c_Numeral_Onumber__of(X3,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3142,c_0_3021]),
    [final] ).

cnf(i_0_4095,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__power_1,
    [final] ).

cnf(i_0_4096,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    cls_Parity_Oeven__nat__power_1,
    [final] ).

cnf(i_0_4097,axiom,
    ( c_uminus(c_LOrder_Omeet(X2,X3,X1),X1) = c_LOrder_Ojoin(c_uminus(X2,X1),c_uminus(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    cls_OrderedGroup_Oneg__meet__eq__join_0,
    [final] ).

cnf(i_0_4098,axiom,
    ( c_uminus(c_LOrder_Ojoin(X2,X3,X1),X1) = c_LOrder_Omeet(c_uminus(X2,X1),c_uminus(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    cls_OrderedGroup_Oneg__join__eq__meet_0,
    [final] ).

cnf(i_0_4099,axiom,
    ( c_uminus(c_plus(X2,X3,X1),X1) = c_plus(c_uminus(X2,X1),c_uminus(X3,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Ominus__add__distrib_0,
    [final] ).

cnf(i_0_4100,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_1,
    [final] ).

cnf(i_0_4101,axiom,
    ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
    cls_Event_Oknows__Spy__Notes_1,
    [final] ).

cnf(i_0_4102,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    cls_Set_OCompl__iff_0,
    [final] ).

cnf(i_0_4103,axiom,
    c_uminus(c_minus(X1,X2,tc_set(X3)),tc_set(X3)) = c_union(c_uminus(X1,tc_set(X3)),X2,X3),
    cls_Set_OCompl__Diff__eq_0,
    [final] ).

cnf(i_0_4104,axiom,
    ( c_IntDef_Oof__int(c_minus(X2,X3,tc_IntDef_Oint),X1) = c_minus(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_Oof__int__diff_0,
    [final] ).

cnf(i_0_4105,axiom,
    ( c_IntDef_Oof__int(c_plus(X2,X3,tc_IntDef_Oint),X1) = c_plus(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_Oof__int__add_0,
    [final] ).

cnf(i_0_4106,axiom,
    ( c_IntDef_Oof__int(c_times(X2,X3,tc_IntDef_Oint),X1) = c_times(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_Oof__int__mult_0,
    [final] ).

cnf(i_0_4107,axiom,
    ( c_NatArith_Oof__nat(c_plus(X2,X3,tc_nat),X1) = c_plus(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    cls_NatArith_Oof__nat__add_0,
    [final] ).

cnf(i_0_4108,axiom,
    ( c_NatArith_Oof__nat(c_times(X2,X3,tc_nat),X1) = c_times(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    cls_NatArith_Oof__nat__mult_0,
    [final] ).

cnf(i_0_4109,axiom,
    ( c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat)
    | ~ c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    cls_IntDef_Ozless__nat__conj_2,
    [final] ).

cnf(i_0_4110,axiom,
    ( X2 = c_0
    | c_divide(X2,c_times(X2,X3,X1),X1) = c_divide(c_1,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__left__if1_1,
    [final] ).

cnf(i_0_4111,axiom,
    ( X2 = c_0
    | c_divide(X2,c_times(X3,X2,X1),X1) = c_divide(c_1,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__right__if1_1,
    [final] ).

cnf(i_0_4112,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_uminus(X3,X1),X1) ),
    cls_OrderedGroup_Oneg__less__iff__less_0,
    [final] ).

cnf(i_0_4113,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_uminus(X3,X1),X1) ),
    cls_OrderedGroup_Oneg__le__iff__le_0,
    [final] ).

cnf(i_0_4114,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Opower__nat__number__of__number__of_0,
    [final] ).

cnf(i_0_4115,plain,
    ( X1 = X3
    | c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3143,c_0_2986]),c_0_2986]),
    [final] ).

cnf(i_0_4116,plain,
    ( X2 = X4
    | c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3144,c_0_2986]),c_0_2986]),
    [final] ).

cnf(i_0_4117,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(X3,X1),X2,X1) = c_uminus(c_Nat_Opower(X3,X2,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_Parity_Opower__minus__odd_0,
    [final] ).

cnf(i_0_4118,axiom,
    ( c_less(X2,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1) ),
    cls_IntDef_Oof__int__less__iff_0,
    [final] ).

cnf(i_0_4119,axiom,
    ( c_less(X2,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1) ),
    cls_NatArith_Oof__nat__less__iff_0,
    [final] ).

cnf(i_0_4120,axiom,
    ( c_lessequals(X2,X3,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1) ),
    cls_IntDef_Oof__int__le__iff_0,
    [final] ).

cnf(i_0_4121,axiom,
    ( c_lessequals(X2,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1) ),
    cls_NatArith_Oof__nat__le__iff_0,
    [final] ).

cnf(i_0_4122,axiom,
    c_Message_Oanalz(c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),
    cls_Message_Oanalz__analz__Un_0,
    [final] ).

cnf(i_0_4123,axiom,
    c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
    cls_Set_OUn__Diff__cancel2_0,
    [final] ).

cnf(i_0_4124,axiom,
    c_union(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_union(X1,X2,X3),
    cls_Set_OUn__Diff__cancel_0,
    [final] ).

cnf(i_0_4125,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),X3,X1),X1)
    | X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Power_Ozero__less__power__abs__iff_1,
    [final] ).

cnf(i_0_4126,axiom,
    c_List_Orev(c_append(X1,X2,X3),X3) = c_append(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
    cls_List_Orev__append_0,
    [final] ).

cnf(i_0_4127,axiom,
    c_List_Oset(c_append(X1,X2,X3),X3) = c_union(c_List_Oset(X1,X3),c_List_Oset(X2,X3),X3),
    cls_List_Oset__append_0,
    [final] ).

cnf(i_0_4128,plain,
    ( c_Divides_Oop_Amod(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3145,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_4129,axiom,
    ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),X3,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Power_Ozero__le__power__abs_0,
    [final] ).

cnf(i_0_4130,axiom,
    ( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    cls_Message_OMPair__synth__analz_0,
    [final] ).

cnf(i_0_4131,axiom,
    ( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    cls_Message_OMPair__synth__analz_1,
    [final] ).

cnf(i_0_4132,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat),
    cls_Message_OkeysFor__insert__Crypt_0,
    [final] ).

cnf(i_0_4133,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2)
    | c_in(X3,c_List_Oset(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Odistinct_Osimps__2_2,
    [final] ).

cnf(i_0_4134,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,
    [final] ).

cnf(i_0_4135,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X2,X1,tc_IntDef_Oint)),
    cls_SetInterval_Ocard__greaterThanAtMost__int_0,
    [final] ).

cnf(i_0_4136,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_IntDef_Onat(c_minus(X2,X1,tc_IntDef_Oint)),
    cls_SetInterval_Ocard__atLeastLessThan__int_0,
    [final] ).

cnf(i_0_4137,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X2,X1),c_0,X1),X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Power_Ozero__less__power__abs__iff_2,
    [final] ).

cnf(i_0_4138,axiom,
    ( c_Orderings_Omin(X2,c_Orderings_Omin(X2,X3,X1),X1) = c_Orderings_Omin(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Orderings_Omin__max_Obelow__inf_Oinf__left__idem_0,
    [final] ).

cnf(i_0_4139,axiom,
    ( c_Orderings_Omax(X2,c_Orderings_Omax(X2,X3,X1),X1) = c_Orderings_Omax(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Orderings_Omin__max_Obelow__sup_Osup__left__idem_0,
    [final] ).

cnf(i_0_4140,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_4141,plain,
    ( c_List_Osublist(X1,c_SetInterval_OlessThan(X3,tc_nat),X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3146,c_0_2984]),
    [final] ).

cnf(i_0_4142,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    cls_Message_OHash__synth_0,
    [final] ).

cnf(i_0_4143,axiom,
    ( c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    cls_Parity_Ozero__less__power__nat__eq__number__of_1,
    [final] ).

cnf(i_0_4144,axiom,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(X2,X1),X1) = c_uminus(c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1) ),
    cls_Numeral_Obin__arith__extra__simps__6_0,
    [final] ).

cnf(i_0_4145,axiom,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_less(c_0,X2,tc_nat) ),
    cls_Parity_Oeven__power_2,
    [final] ).

cnf(i_0_4146,axiom,
    ( c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_less(c_0,X2,tc_nat) ),
    cls_Parity_Oeven__nat__power_2,
    [final] ).

cnf(i_0_4147,axiom,
    c_Nat_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)) = c_minus(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    cls_List_Olength__drop_0,
    [final] ).

cnf(i_0_4148,axiom,
    ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(c_divide(c_1,X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Ominus1__divide_0,
    [final] ).

cnf(i_0_4149,axiom,
    ( c_less(c_uminus(c_1,X1),X2,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_1,X1) ),
    cls_NatSimprocs_Ominus__less__iff__1_0,
    [final] ).

cnf(i_0_4150,axiom,
    ( c_lessequals(c_uminus(c_1,X1),X2,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_1,X1) ),
    cls_NatSimprocs_Ominus__le__iff__1_0,
    [final] ).

cnf(i_0_4151,axiom,
    ( c_less(X2,c_uminus(c_1,X1),X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_1,c_uminus(X2,X1),X1) ),
    cls_NatSimprocs_Oless__minus__iff__1_0,
    [final] ).

cnf(i_0_4152,axiom,
    ( c_lessequals(X2,c_uminus(c_1,X1),X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_1,c_uminus(X2,X1),X1) ),
    cls_NatSimprocs_Ole__minus__iff__1_0,
    [final] ).

cnf(i_0_4153,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__difference_1,
    [final] ).

cnf(i_0_4154,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__difference_0,
    [final] ).

cnf(i_0_4155,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__sum_1,
    [final] ).

cnf(i_0_4156,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__sum_0,
    [final] ).

cnf(i_0_4157,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X1,X2,tc_nat),tc_nat) ),
    cls_Parity_Oeven__nat__sum_1,
    [final] ).

cnf(i_0_4158,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat) ),
    cls_Parity_Oeven__nat__sum_0,
    [final] ).

cnf(i_0_4159,axiom,
    ( c_less(c_uminus(X2,X1),c_1,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(c_1,X1),X2,X1) ),
    cls_NatSimprocs_Ominus__less__iff__1_1,
    [final] ).

cnf(i_0_4160,axiom,
    ( c_lessequals(c_uminus(X2,X1),c_1,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(c_1,X1),X2,X1) ),
    cls_NatSimprocs_Ominus__le__iff__1_1,
    [final] ).

cnf(i_0_4161,axiom,
    ( c_less(c_1,c_uminus(X2,X1),X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,c_uminus(c_1,X1),X1) ),
    cls_NatSimprocs_Oless__minus__iff__1_1,
    [final] ).

cnf(i_0_4162,axiom,
    ( c_lessequals(c_1,c_uminus(X2,X1),X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_uminus(c_1,X1),X1) ),
    cls_NatSimprocs_Ole__minus__iff__1_1,
    [final] ).

cnf(i_0_4163,axiom,
    c_union(X1,c_union(X2,X1,X3),X3) = c_union(X2,X1,X3),
    cls_Message_Ostrange__Un__eq_0,
    [final] ).

cnf(i_0_4164,axiom,
    c_insert(X1,c_insert(X1,X2,X3),X3) = c_insert(X1,X2,X3),
    cls_Set_Oinsert__absorb2_0,
    [final] ).

cnf(i_0_4165,axiom,
    ( c_divide(X2,c_uminus(X3,X1),X1) = c_uminus(c_divide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__minus__right_0,
    [final] ).

cnf(i_0_4166,plain,
    ( X1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3147,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_4167,axiom,
    c_Divides_Oop_Amod(c_uminus(X1,tc_IntDef_Oint),c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDiv_Ozmod__zminus__zminus_0,
    [final] ).

cnf(i_0_4168,axiom,
    c_List_Olistset(c_List_Olist_OCons(X1,X2,tc_set(X3)),X3) = c_List_Oset__Cons(X1,c_List_Olistset(X2,X3),X3),
    cls_List_Olistset_Osimps__2_0,
    [final] ).

cnf(i_0_4169,axiom,
    c_List_Oconcat(c_List_Olist_OCons(X1,X2,tc_List_Olist(X3)),X3) = c_append(X1,c_List_Oconcat(X2,X3),X3),
    cls_List_Oconcat_Osimps__2_0,
    [final] ).

cnf(i_0_4170,axiom,
    c_Union(c_insert(X1,X2,tc_set(X3)),X3) = c_union(X1,c_Union(X2,X3),X3),
    cls_Set_OUnion__insert_0,
    [final] ).

cnf(i_0_4171,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_0,
    [final] ).

cnf(i_0_4172,plain,
    ( c_minus(c_1,c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3148,c_0_3021]),
    [final] ).

cnf(i_0_4173,axiom,
    ( c_less(c_0,c_Numeral_Onumber__of(X3,tc_nat),tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1) != c_0 ),
    cls_Parity_Opower__eq__0__iff__number__of_1,
    [final] ).

cnf(i_0_4174,axiom,
    ( c_in(c_0,X1,tc_nat)
    | c_List_Osublist(c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X1,X3) = c_List_Olist_ONil ),
    cls_List_Osublist__singleton_1,
    [final] ).

cnf(i_0_4175,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_Divides_Oop_Amod(X2,X1,tc_IntDef_Oint),
    cls_IntDiv_Ozmod__zadd__self1_0,
    [final] ).

cnf(i_0_4176,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),
    cls_IntDiv_Ozmod__zadd__self2_0,
    [final] ).

cnf(i_0_4177,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_nat),X1,tc_nat) = c_Divides_Oop_Amod(X2,X1,tc_nat),
    cls_Divides_Omod__add__self1_0,
    [final] ).

cnf(i_0_4178,axiom,
    c_Divides_Oop_Amod(c_plus(X1,X2,tc_nat),X2,tc_nat) = c_Divides_Oop_Amod(X1,X2,tc_nat),
    cls_Divides_Omod__add__self2_0,
    [final] ).

cnf(i_0_4179,axiom,
    c_Divides_Oop_Amod(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),
    cls_IntDiv_Omod__mod__trivial_0,
    [final] ).

cnf(i_0_4180,axiom,
    c_Divides_Oop_Amod(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat) = c_Divides_Oop_Amod(X1,X2,tc_nat),
    cls_Divides_Onat__mod__mod__trivial_0,
    [final] ).

cnf(i_0_4181,axiom,
    ( c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__product_0,
    [final] ).

cnf(i_0_4182,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat) ),
    cls_Parity_Oeven__nat__product_0,
    [final] ).

cnf(i_0_4183,axiom,
    ( c_lessequals(c_Finite__Set_OMin(X2,X1),c_Finite__Set_OMax(X2,X1),X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_OInf__le__Sup_0,
    [final] ).

cnf(i_0_4184,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X1),tc_nat) ),
    cls_NatBin_Oadd__nat__number__of_2,
    [final] ).

cnf(i_0_4185,axiom,
    ( c_Nat_Opower(c_1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    cls_NatBin_Oone__power2_0,
    [final] ).

cnf(i_0_4186,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),X1) = c_0
    | ~ class_Power_Orecpower(X1) ),
    cls_NatBin_Ozero__power2_0,
    [final] ).

cnf(i_0_4187,axiom,
    ( c_divide(c_uminus(X2,X1),X3,X1) = c_uminus(c_divide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__minus__left_0,
    [final] ).

cnf(i_0_4188,axiom,
    ( c_times(c_uminus(X2,X1),X3,X1) = c_uminus(c_times(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    cls_Ring__and__Field_Omult__minus__left_0,
    [final] ).

cnf(i_0_4189,axiom,
    ( c_times(X2,c_uminus(X3,X1),X1) = c_uminus(c_times(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    cls_Ring__and__Field_Omult__minus__right_0,
    [final] ).

cnf(i_0_4190,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
    cls_Parity_Opower__eq__0__iff__number__of_2,
    [final] ).

cnf(i_0_4191,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1)
    | c_0 != c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3149,c_0_3021]),
    [final] ).

cnf(i_0_4192,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_1,
    [final] ).

cnf(i_0_4193,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_1,
    [final] ).

cnf(i_0_4194,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_1,
    [final] ).

cnf(i_0_4195,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_1,
    [final] ).

cnf(i_0_4196,axiom,
    ( c_List_Onth(c_List_Olist_OCons(X2,X3,X4),c_Numeral_Onumber__of(X1,tc_nat),X4) = X2
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    cls_List_Onth__Cons__number__of_0,
    [final] ).

cnf(i_0_4197,axiom,
    ( c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
    | ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    cls_Message_Oparts__cut__eq_0,
    [final] ).

cnf(i_0_4198,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    cls_Wellfounded__Recursion_Oacyclic__converse_0,
    [final] ).

cnf(i_0_4199,axiom,
    ( c_List_Odistinct(X1,X3)
    | ~ c_List_Odistinct(c_append(X1,X2,X3),X3) ),
    cls_List_Odistinct__append_0,
    [final] ).

cnf(i_0_4200,axiom,
    ( c_List_Odistinct(X2,X3)
    | ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
    cls_List_Odistinct__rotate_0,
    [final] ).

cnf(i_0_4201,axiom,
    ( c_List_Odistinct(X2,X3)
    | ~ c_List_Odistinct(c_append(X1,X2,X3),X3) ),
    cls_List_Odistinct__append_1,
    [final] ).

cnf(i_0_4202,axiom,
    ( c_List_Odistinct(X2,X3)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
    cls_List_Odistinct_Osimps__2_1,
    [final] ).

cnf(i_0_4203,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_plus(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oadd__nat__number__of_1,
    [final] ).

cnf(i_0_4204,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X2,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Omod__nat__number__of_1,
    [final] ).

cnf(i_0_4205,plain,
    ( c_less(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_1,X1,tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3150,c_0_2973]),
    [final] ).

cnf(i_0_4206,axiom,
    ( c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | X1 = c_Message_OinvKey(v_sko__uhi(X2,X1))
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat) ),
    cls_Event_OkeysFor__synth_H_1,
    [final] ).

cnf(i_0_4207,plain,
    ( c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3151,c_0_3021]),
    [final] ).

cnf(i_0_4208,axiom,
    ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | X1 = c_0 ),
    cls_IntDiv_Ozero__less__zpower__abs__iff_1,
    [final] ).

cnf(i_0_4209,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Otl(c_append(X1,X2,X3),X3) = c_append(c_List_Otl(X1,X3),X2,X3) ),
    cls_List_Otl__append2_0,
    [final] ).

cnf(i_0_4210,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Obutlast(c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_OCons(X2,c_List_Obutlast(X1,X3),X3) ),
    cls_List_Obutlast_Osimps__2_1,
    [final] ).

cnf(i_0_4211,plain,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls)),X1),X1)
    | c_Numeral_Onumber__of(X2,X1) != c_0
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3152,c_0_3021]),
    [final] ).

cnf(i_0_4212,axiom,
    c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDiv_Ozero__le__zpower__abs_0,
    [final] ).

cnf(i_0_4213,axiom,
    c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_insert(X1,c_List_Oset(X2,X3),X3),
    cls_List_Oset_Osimps__2_0,
    [final] ).

cnf(i_0_4214,axiom,
    ( c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_OrderedGroup_Oneg__less__iff__less_1,
    [final] ).

cnf(i_0_4215,axiom,
    ( c_lessequals(c_OrderedGroup_Opprt(X2,X1),c_OrderedGroup_Opprt(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_OrderedGroup_Opprt__mono_0,
    [final] ).

cnf(i_0_4216,axiom,
    ( c_lessequals(c_OrderedGroup_Onprt(X2,X1),c_OrderedGroup_Onprt(X3,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_OrderedGroup_Onprt__mono_0,
    [final] ).

cnf(i_0_4217,axiom,
    ( c_lessequals(c_uminus(X3,X1),c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_OrderedGroup_Oneg__le__iff__le_1,
    [final] ).

cnf(i_0_4218,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),X1),X1) ),
    cls_Numeral_Obin__rel__simps__12_0,
    [final] ).

cnf(i_0_4219,axiom,
    ( c_List_Orotate(X1,X2,X3) = X2
    | c_Divides_Oop_Amod(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_0 ),
    cls_List_Orotate__id_0,
    [final] ).

cnf(i_0_4220,plain,
    ( c_minus(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X3)),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3153,c_0_3021]),
    [final] ).

cnf(i_0_4221,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X1),tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3154,c_0_3021]),
    [final] ).

cnf(i_0_4222,axiom,
    ( c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
    cls_List_Odrop__eq__Nil_1,
    [final] ).

cnf(i_0_4223,plain,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oknows(X2,c_List_Olist_ONil),tc_Message_Omsg),
    inference(rw,[status(thm)],[i_0_3155,c_0_3156]),
    [final] ).

cnf(i_0_4224,axiom,
    c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDiv_Ozero__less__zpower__abs__iff_2,
    [final] ).

cnf(i_0_4225,axiom,
    ( c_less(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(X2,X3,tc_IntDef_Oint) ),
    cls_IntDef_Oof__int__less__iff_1,
    [final] ).

cnf(i_0_4226,axiom,
    ( c_less(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(X2,X3,tc_nat) ),
    cls_NatArith_Oof__nat__less__iff_1,
    [final] ).

cnf(i_0_4227,axiom,
    ( c_lessequals(c_IntDef_Oof__int(X2,X1),c_IntDef_Oof__int(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,X3,tc_IntDef_Oint) ),
    cls_IntDef_Oof__int__le__iff_1,
    [final] ).

cnf(i_0_4228,axiom,
    ( c_lessequals(c_NatArith_Oof__nat(X2,X1),c_NatArith_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    cls_NatArith_Oof__nat__le__iff_1,
    [final] ).

cnf(i_0_4229,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_4230,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    cls_Set_OPow__iff_0,
    [final] ).

cnf(i_0_4231,axiom,
    ( c_List_Orotate(X3,X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
    cls_List_Orotate__length01_0,
    [final] ).

cnf(i_0_4232,axiom,
    c_List_Odrop(X1,c_List_Oupt(X2,X3),tc_nat) = c_List_Oupt(c_plus(X2,X1,tc_nat),X3),
    cls_List_Odrop__upt_0,
    [final] ).

cnf(i_0_4233,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__power_0,
    [final] ).

cnf(i_0_4234,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Nat_Opower(X1,X2,tc_nat),tc_nat) ),
    cls_Parity_Oeven__nat__power_0,
    [final] ).

cnf(i_0_4235,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_8,
    [final] ).

cnf(i_0_4236,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_4237,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_1,
    [final] ).

cnf(i_0_4238,axiom,
    ( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    cls_Public_OMPair__used_1,
    [final] ).

cnf(i_0_4239,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_OMPair__parts_1,
    [final] ).

cnf(i_0_4240,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_0,
    [final] ).

cnf(i_0_4241,axiom,
    ( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
    cls_Public_OMPair__used_0,
    [final] ).

cnf(i_0_4242,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__dest_0,
    [final] ).

cnf(i_0_4243,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_OMPair__parts_0,
    [final] ).

cnf(i_0_4244,axiom,
    ( c_less(c_0,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,c_HOL_Oinverse(X2,X1),X1) ),
    cls_Ring__and__Field_Oinverse__positive__iff__positive_0,
    [final] ).

cnf(i_0_4245,axiom,
    ( c_lessequals(c_0,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,c_HOL_Oinverse(X2,X1),X1) ),
    cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_0,
    [final] ).

cnf(i_0_4246,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_HOL_Oinverse(X2,X1),c_0,X1) ),
    cls_Ring__and__Field_Oinverse__negative__iff__negative_0,
    [final] ).

cnf(i_0_4247,axiom,
    ( c_lessequals(X2,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_HOL_Oinverse(X2,X1),c_0,X1) ),
    cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_0,
    [final] ).

cnf(i_0_4248,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    cls_Set_OpsubsetE_0,
    [final] ).

cnf(i_0_4249,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_1,
    [final] ).

cnf(i_0_4250,axiom,
    ~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
    cls_List_Onull_Osimps__2_0,
    [final] ).

cnf(i_0_4251,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),X1),X1) ),
    cls_Numeral_Obin__rel__simps__4_0,
    [final] ).

cnf(i_0_4252,axiom,
    ( c_HOL_Oinverse(c_divide(X2,X3,X1),X1) = c_divide(X3,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Oinverse__divide_0,
    [final] ).

cnf(i_0_4253,plain,
    ( c_List_Odistinct(c_List_Osublist(X1,c_SetInterval_OlessThan(X3,tc_nat),X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    inference(rw,[status(thm)],[i_0_3157,c_0_2984]),
    [final] ).

cnf(i_0_4254,axiom,
    ( X2 = X4
    | X3 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(X2,X3,X1) != c_divide(X4,X3,X1) ),
    cls_Ring__and__Field_Odivide__cancel__right_0,
    [final] ).

cnf(i_0_4255,axiom,
    ( X3 = X4
    | X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(X2,X3,X1) != c_divide(X2,X4,X1) ),
    cls_Ring__and__Field_Odivide__cancel__left_0,
    [final] ).

cnf(i_0_4256,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    cls_SetInterval_OlessThan__iff_0,
    [final] ).

cnf(i_0_4257,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X3,X1),X1) ),
    cls_SetInterval_OgreaterThan__iff_0,
    [final] ).

cnf(i_0_4258,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
    cls_SetInterval_OatMost__iff_0,
    [final] ).

cnf(i_0_4259,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeast(X3,X1),X1) ),
    cls_SetInterval_OatLeast__iff_0,
    [final] ).

cnf(i_0_4260,axiom,
    ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_IntArith_Oabs__power__minus__one_0,
    [final] ).

cnf(i_0_4261,axiom,
    ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
    | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntArith_Oint__eq__iff__number__of_2,
    [final] ).

cnf(i_0_4262,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    cls_Message_Oanalz__insert__Number_0,
    [final] ).

cnf(i_0_4263,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    cls_Message_Oanalz__insert__Nonce_0,
    [final] ).

cnf(i_0_4264,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    cls_Message_Oanalz__insert__Hash_0,
    [final] ).

cnf(i_0_4265,axiom,
    c_Message_Oanalz(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
    cls_Message_Oanalz__insert__Agent_0,
    [final] ).

cnf(i_0_4266,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONumber(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    cls_Message_Oparts__insert__Number_0,
    [final] ).

cnf(i_0_4267,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    cls_Message_Oparts__insert__Nonce_0,
    [final] ).

cnf(i_0_4268,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    cls_Message_Oparts__insert__Key_0,
    [final] ).

cnf(i_0_4269,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    cls_Message_Oparts__insert__Hash_0,
    [final] ).

cnf(i_0_4270,axiom,
    c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    cls_Message_Oparts__insert__Agent_0,
    [final] ).

cnf(i_0_4271,axiom,
    ( c_less(c_0,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_uminus(X2,X1),c_0,X1) ),
    cls_OrderedGroup_Oneg__less__0__iff__less_0,
    [final] ).

cnf(i_0_4272,axiom,
    ( c_lessequals(c_0,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_uminus(X2,X1),c_0,X1) ),
    cls_OrderedGroup_Oneg__le__0__iff__le_0,
    [final] ).

cnf(i_0_4273,axiom,
    ( c_less(X2,c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_0,c_uminus(X2,X1),X1) ),
    cls_OrderedGroup_Oneg__0__less__iff__less_0,
    [final] ).

cnf(i_0_4274,axiom,
    ( c_lessequals(X2,c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_0,c_uminus(X2,X1),X1) ),
    cls_OrderedGroup_Oneg__0__le__iff__le_0,
    [final] ).

cnf(i_0_4275,axiom,
    ( c_less(c_0,X2,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,c_IntDef_Oof__int(X2,X1),X1) ),
    cls_IntDef_Oof__int__0__less__iff_0,
    [final] ).

cnf(i_0_4276,axiom,
    ( c_less(c_0,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_0,c_NatArith_Oof__nat(X2,X1),X1) ),
    cls_NatArith_Oof__nat__0__less__iff_0,
    [final] ).

cnf(i_0_4277,axiom,
    ( c_lessequals(c_0,X2,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_0,c_IntDef_Oof__int(X2,X1),X1) ),
    cls_IntDef_Oof__int__0__le__iff_0,
    [final] ).

cnf(i_0_4278,axiom,
    ( c_less(X2,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_IntDef_Oof__int(X2,X1),c_0,X1) ),
    cls_IntDef_Oof__int__less__0__iff_0,
    [final] ).

cnf(i_0_4279,axiom,
    ( c_lessequals(X2,c_0,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_IntDef_Oof__int(X2,X1),c_0,X1) ),
    cls_IntDef_Oof__int__le__0__iff_0,
    [final] ).

cnf(i_0_4280,plain,
    ( X1 = c_0
    | ~ c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3158,c_0_2973]),
    [final] ).

cnf(i_0_4281,axiom,
    ( c_in(c_Finite__Set_OMin(X2,X1),X2,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMin__in_0,
    [final] ).

cnf(i_0_4282,axiom,
    ( c_in(c_Finite__Set_OMax(X2,X1),X2,X1)
    | X2 = c_emptyset
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_OMax__in_0,
    [final] ).

cnf(i_0_4283,axiom,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OPow__iff_1,
    [final] ).

cnf(i_0_4284,axiom,
    ( c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Ominus__diff__eq_0,
    [final] ).

cnf(i_0_4285,axiom,
    ( X2 = X4
    | X3 = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_times(X2,X3,X1) != c_times(X4,X3,X1) ),
    cls_Ring__and__Field_Ofield__mult__cancel__right_0,
    [final] ).

cnf(i_0_4286,axiom,
    ( X3 = X4
    | X2 = c_0
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_times(X2,X3,X1) != c_times(X2,X4,X1) ),
    cls_Ring__and__Field_Ofield__mult__cancel__left_0,
    [final] ).

cnf(i_0_4287,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_4288,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oused(X3),tc_Message_Omsg),
    cls_Public_OprivateKey__into__used_0,
    [final] ).

cnf(i_0_4289,axiom,
    ( X2 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_plus(X2,X3,X1) != c_plus(X4,X3,X1) ),
    cls_OrderedGroup_Oadd__right__cancel_0,
    [final] ).

cnf(i_0_4290,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_plus(X2,X3,X1) != c_plus(X2,X4,X1) ),
    cls_OrderedGroup_Oadd__left__cancel_0,
    [final] ).

cnf(i_0_4291,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
    cls_Event_Oknows__Spy__Gets_0,
    [final] ).

cnf(i_0_4292,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3))
    | c_List_Oconcat(X2,X3) != c_List_Olist_ONil ),
    cls_List_Oconcat__eq__Nil__conv_0,
    [final] ).

cnf(i_0_4293,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(X1,c_List_Oset(X2,tc_List_Olist(X3)),tc_List_Olist(X3))
    | c_List_Olist_ONil != c_List_Oconcat(X2,X3) ),
    cls_List_ONil__eq__concat__conv_0,
    [final] ).

cnf(i_0_4294,plain,
    c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3159,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_4295,axiom,
    ( X2 = c_0
    | c_divide(c_times(X2,X3,X1),X2,X1) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__left__if2_1,
    [final] ).

cnf(i_0_4296,axiom,
    ( X2 = c_0
    | c_divide(c_times(X3,X2,X1),X2,X1) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__right__if2_1,
    [final] ).

cnf(i_0_4297,axiom,
    ( X2 = c_0
    | c_times(c_divide(X3,X2,X1),X2,X1) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Otimes__divide__self__left_1,
    [final] ).

cnf(i_0_4298,axiom,
    ( X2 = c_0
    | c_times(X2,c_divide(X3,X2,X1),X1) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Otimes__divide__self__right_1,
    [final] ).

cnf(i_0_4299,axiom,
    ( c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat)
    | c_List_Odrop(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Odrop__eq__Nil_0,
    [final] ).

cnf(i_0_4300,axiom,
    ( c_less(c_HOL_Oinverse(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(X2,c_0,X1) ),
    cls_Ring__and__Field_Oinverse__negative__iff__negative_1,
    [final] ).

cnf(i_0_4301,axiom,
    ( c_lessequals(c_HOL_Oinverse(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_Ring__and__Field_Oinverse__nonpositive__iff__nonpositive_1,
    [final] ).

cnf(i_0_4302,axiom,
    ( c_less(c_0,c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_less(c_0,X2,X1) ),
    cls_Ring__and__Field_Oinverse__positive__iff__positive_1,
    [final] ).

cnf(i_0_4303,axiom,
    ( c_lessequals(c_0,c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_Ring__and__Field_Oinverse__nonnegative__iff__nonnegative_1,
    [final] ).

cnf(i_0_4304,plain,
    c_Nat_Osize(c_Message_Omsg_OCrypt(X1,X2),tc_Message_Omsg) = c_plus(c_Nat_Osize(X2,tc_Message_Omsg),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3160,c_0_2973]),
    [final] ).

cnf(i_0_4305,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    cls_Public_OSpy__spies__bad__shrK_0,
    [final] ).

cnf(i_0_4306,axiom,
    ( X1 = c_0
    | c_List_Oset(c_List_Oreplicate(X1,X2,X3),X3) = c_insert(X2,c_emptyset,X3) ),
    cls_List_Oset__replicate_0,
    [final] ).

cnf(i_0_4307,axiom,
    c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(X1,X2,X3),
    cls_List_Orev__replicate_0,
    [final] ).

cnf(i_0_4308,axiom,
    ( c_divide(c_uminus(X2,X1),c_uminus(X3,X1),X1) = c_divide(X2,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Ominus__divide__divide_0,
    [final] ).

cnf(i_0_4309,plain,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_Oknows(X2,c_List_Olist_ONil)),tc_Message_Omsg),
    inference(rw,[status(thm)],[i_0_3161,c_0_3156]),
    [final] ).

cnf(i_0_4310,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OlessThan__iff_1,
    [final] ).

cnf(i_0_4311,axiom,
    ( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatMost__iff_1,
    [final] ).

cnf(i_0_4312,axiom,
    ( c_in(X3,c_SetInterval_OgreaterThan(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OgreaterThan__iff_1,
    [final] ).

cnf(i_0_4313,axiom,
    ( c_in(X3,c_SetInterval_OatLeast(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatLeast__iff_1,
    [final] ).

cnf(i_0_4314,axiom,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    cls_Message_Oanalz__subset__iff_0,
    [final] ).

cnf(i_0_4315,axiom,
    ( c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    cls_Message_Osynth__subset__iff_0,
    [final] ).

cnf(i_0_4316,axiom,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    cls_Message_Oparts__subset__iff_0,
    [final] ).

cnf(i_0_4317,axiom,
    ( c_List_Olast(c_List_Oupt(X1,X2),tc_nat) = c_minus(X2,c_1,tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    cls_List_Olast__upt_0,
    [final] ).

cnf(i_0_4318,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_4,
    [final] ).

cnf(i_0_4319,axiom,
    ( X1 = X4
    | c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
    cls_Event_Oevent_Oinject__1_0,
    [final] ).

cnf(i_0_4320,axiom,
    ( X1 = X4
    | c_append(X1,X2,X3) != c_append(X4,X2,X3) ),
    cls_List_Oappend__same__eq_0,
    [final] ).

cnf(i_0_4321,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
    cls_Datatype__Universe_OAtom__Atom__eq_0,
    [final] ).

cnf(i_0_4322,axiom,
    ( X1 = X4
    | c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInr(X4,X2,X3) ),
    cls_Sum__Type_OInr__eq_0,
    [final] ).

cnf(i_0_4323,axiom,
    ( X1 = X4
    | c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInl(X4,X2,X3) ),
    cls_Sum__Type_OInl__eq_0,
    [final] ).

cnf(i_0_4324,axiom,
    ( X1 = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_List_Olist_Oinject_0,
    [final] ).

cnf(i_0_4325,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3) ),
    cls_Datatype__Universe_OIn1__eq_0,
    [final] ).

cnf(i_0_4326,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3) ),
    cls_Datatype__Universe_OIn0__eq_0,
    [final] ).

cnf(i_0_4327,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_4328,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_4329,axiom,
    ( X2 = X4
    | c_append(X1,X2,X3) != c_append(X1,X4,X3) ),
    cls_List_Osame__append__eq_0,
    [final] ).

cnf(i_0_4330,axiom,
    ( X2 = X5
    | c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
    cls_Event_Oevent_Oinject__1_1,
    [final] ).

cnf(i_0_4331,axiom,
    ( X2 = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_List_Olist_Oinject_1,
    [final] ).

cnf(i_0_4332,axiom,
    ( X3 = X6
    | c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
    cls_Event_Oevent_Oinject__1_2,
    [final] ).

cnf(i_0_4333,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_0,
    [final] ).

cnf(i_0_4334,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_0,
    [final] ).

cnf(i_0_4335,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X1,X2),tc_nat) ),
    cls_NatBin_Omult__nat__number__of_1,
    [final] ).

cnf(i_0_4336,plain,
    c_SetInterval_OatLeastLessThan(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat) = c_insert(X1,c_emptyset,tc_nat),
    inference(rw,[status(thm)],[i_0_3162,c_0_2973]),
    [final] ).

cnf(i_0_4337,axiom,
    c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_nat),
    cls_Message_OkeysFor__Un_0,
    [final] ).

cnf(i_0_4338,axiom,
    c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    cls_Message_Oparts__Un_0,
    [final] ).

cnf(i_0_4339,axiom,
    c_IntDef_Oint(c_plus(X1,X2,tc_nat)) = c_plus(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint),
    cls_NatBin_Oint_A_Im2_A_L_An2_J_A_61_61_Aint_Am2_A_L_Aint_An2_0,
    [final] ).

cnf(i_0_4340,axiom,
    ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),c_Message_OsymKeys,tc_nat),
    cls_Public_Onot__symKeys__priK_0,
    [final] ).

cnf(i_0_4341,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    cls_Message_Oanalz__analzD__dest_0,
    [final] ).

cnf(i_0_4342,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
    cls_Message_Osynth__synthD__dest_0,
    [final] ).

cnf(i_0_4343,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    cls_Message_Oparts__partsD__dest_0,
    [final] ).

cnf(i_0_4344,axiom,
    ( c_divide(c_times(c_0,X2,X1),c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__left__if2_0,
    [final] ).

cnf(i_0_4345,axiom,
    ( c_divide(c_times(X2,c_0,X1),c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__right__if2_0,
    [final] ).

cnf(i_0_4346,axiom,
    ( c_times(c_divide(X2,c_0,X1),c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Otimes__divide__self__left_0,
    [final] ).

cnf(i_0_4347,axiom,
    ( c_divide(c_0,c_times(c_0,X2,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__left__if1_0,
    [final] ).

cnf(i_0_4348,axiom,
    ( c_divide(c_0,c_times(X2,c_0,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Omult__divide__cancel__right__if1_0,
    [final] ).

cnf(i_0_4349,axiom,
    ( c_times(c_0,c_divide(X2,c_0,X1),X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Otimes__divide__self__right_0,
    [final] ).

cnf(i_0_4350,axiom,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    cls_Sum__Type_OInr__not__Inl_0,
    [final] ).

cnf(i_0_4351,axiom,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    cls_Sum__Type_OInl__not__Inr_0,
    [final] ).

cnf(i_0_4352,axiom,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3),
    cls_Datatype__Universe_OIn1__not__In0_0,
    [final] ).

cnf(i_0_4353,axiom,
    c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3),
    cls_Datatype__Universe_OIn0__not__In1_0,
    [final] ).

cnf(i_0_4354,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3),
    cls_Datatype__Universe_ONumb__not__Leaf_0,
    [final] ).

cnf(i_0_4355,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3),
    cls_Datatype__Universe_OLeaf__not__Numb_0,
    [final] ).

cnf(i_0_4356,axiom,
    ( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    cls_Event_OkeysFor__synth_H_3,
    [final] ).

cnf(i_0_4357,axiom,
    ( X3 = X1
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    cls_Set_Osingleton__insert__inj__eq_0,
    [final] ).

cnf(i_0_4358,axiom,
    ( X1 = X4
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    cls_Set_Osingleton__insert__inj__eq_H_0,
    [final] ).

cnf(i_0_4359,axiom,
    ( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
    cls_Message_Oanalz__subset__iff_1,
    [final] ).

cnf(i_0_4360,axiom,
    ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg)) ),
    cls_Message_Osynth__subset__iff_1,
    [final] ).

cnf(i_0_4361,axiom,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
    cls_Message_Oparts__subset__iff_1,
    [final] ).

cnf(i_0_4362,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),
    cls_List_Orev__singleton__conv_1,
    [final] ).

cnf(i_0_4363,axiom,
    c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2),
    cls_List_Osingleton__rev__conv_1,
    [final] ).

cnf(i_0_4364,axiom,
    ( c_less(c_uminus(X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(c_0,X2,X1) ),
    cls_OrderedGroup_Oneg__less__0__iff__less_1,
    [final] ).

cnf(i_0_4365,axiom,
    ( c_lessequals(c_uminus(X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_OrderedGroup_Oneg__le__0__iff__le_1,
    [final] ).

cnf(i_0_4366,axiom,
    ( c_in(c_uminus(X2,X1),c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_in(X2,c_IntDef_OInts,X1) ),
    cls_IntDef_OInts__minus_0,
    [final] ).

cnf(i_0_4367,axiom,
    ( c_less(c_0,c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_less(X2,c_0,X1) ),
    cls_OrderedGroup_Oneg__0__less__iff__less_1,
    [final] ).

cnf(i_0_4368,axiom,
    ( c_lessequals(c_0,c_uminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_OrderedGroup_Oneg__0__le__iff__le_1,
    [final] ).

cnf(i_0_4369,axiom,
    ( X1 = X3
    | X2 = c_0
    | c_times(X1,X2,tc_nat) != c_times(X3,X2,tc_nat) ),
    cls_Nat_Omult__cancel2_0,
    [final] ).

cnf(i_0_4370,axiom,
    ( X2 = X3
    | X1 = c_0
    | c_times(X1,X2,tc_nat) != c_times(X1,X3,tc_nat) ),
    cls_Nat_Omult__cancel1_0,
    [final] ).

cnf(i_0_4371,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X2,X3),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,X1),X1) ),
    cls_Numeral_Obin__rel__simps__12_1,
    [final] ).

cnf(i_0_4372,axiom,
    ( c_Nat_Opower(c_uminus(X3,X1),X2,X1) = c_Nat_Opower(X3,X2,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    cls_Parity_Opower__minus__even_0,
    [final] ).

cnf(i_0_4373,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),tc_nat) = c_minus(X2,X1,tc_nat),
    cls_SetInterval_Ocard__greaterThanAtMost_0,
    [final] ).

cnf(i_0_4374,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),tc_nat) = c_minus(X2,X1,tc_nat),
    cls_SetInterval_Ocard__atLeastLessThan_0,
    [final] ).

cnf(i_0_4375,plain,
    ( c_NatArith_Oof__nat(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),X1) = c_plus(c_NatArith_Oof__nat(X2,X1),c_1,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    inference(rw,[status(thm)],[i_0_3163,c_0_2973]),
    [final] ).

cnf(i_0_4376,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_4377,axiom,
    ( X1 = X3
    | c_plus(X1,X2,tc_nat) != c_plus(X3,X2,tc_nat) ),
    cls_Nat_Onat__add__right__cancel_0,
    [final] ).

cnf(i_0_4378,axiom,
    ( X2 = X3
    | c_plus(X1,X2,tc_nat) != c_plus(X1,X3,tc_nat) ),
    cls_Nat_Onat__add__left__cancel_0,
    [final] ).

cnf(i_0_4379,axiom,
    ( c_times(c_uminus(X2,X1),c_uminus(X3,X1),X1) = c_times(X2,X3,X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    cls_Ring__and__Field_Ominus__mult__minus_0,
    [final] ).

cnf(i_0_4380,axiom,
    ( c_less(c_IntDef_Oof__int(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(X2,c_0,tc_IntDef_Oint) ),
    cls_IntDef_Oof__int__less__0__iff_1,
    [final] ).

cnf(i_0_4381,axiom,
    ( c_lessequals(c_IntDef_Oof__int(X2,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X2,c_0,tc_IntDef_Oint) ),
    cls_IntDef_Oof__int__le__0__iff_1,
    [final] ).

cnf(i_0_4382,axiom,
    ( c_less(c_0,c_IntDef_Oof__int(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,X2,tc_IntDef_Oint) ),
    cls_IntDef_Oof__int__0__less__iff_1,
    [final] ).

cnf(i_0_4383,axiom,
    ( c_less(c_0,c_NatArith_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_0,X2,tc_nat) ),
    cls_NatArith_Oof__nat__0__less__iff_1,
    [final] ).

cnf(i_0_4384,axiom,
    ( c_lessequals(c_0,c_IntDef_Oof__int(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_0,X2,tc_IntDef_Oint) ),
    cls_IntDef_Oof__int__0__le__iff_1,
    [final] ).

cnf(i_0_4385,axiom,
    ( c_plus(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oadd__nat__number__of_0,
    [final] ).

cnf(i_0_4386,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
    cls_NatBin_Oeq__nat__number__of_1,
    [final] ).

cnf(i_0_4387,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X2,tc_nat) ),
    cls_NatBin_Oeq__nat__number__of_0,
    [final] ).

cnf(i_0_4388,axiom,
    ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X1)) = X1
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    cls_IntDef_OInteg_OAbs__Integ__inverse_0,
    [final] ).

cnf(i_0_4389,plain,
    c_Transitive__Closure_Otrancl(c_union(c_emptyset,c_Relation_OId,tc_prod(X1,X1)),X1) = c_Relation_OId,
    inference(rw,[status(thm)],[i_0_3164,c_0_2967]),
    [final] ).

cnf(i_0_4390,plain,
    ( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4))
    | c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) != c_Message_Omsg_OMPair(X1,X2) ),
    inference(rw,[status(thm)],[i_0_3165,c_0_2986]),
    [final] ).

cnf(i_0_4391,plain,
    ( X3 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2))
    | c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OMPair(X3,X4) ),
    inference(rw,[status(thm)],[i_0_3166,c_0_2986]),
    [final] ).

cnf(i_0_4392,axiom,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_1,X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1)),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_IntArith_Oarith__special__3_0,
    [final] ).

cnf(i_0_4393,axiom,
    ( c_plus(c_1,c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X2),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_IntArith_Oarith__special__2_0,
    [final] ).

cnf(i_0_4394,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X2)),tc_nat)
    | ~ c_in(X1,c_Message_OkeysFor(X2),tc_nat) ),
    cls_Event_OkeysFor__synth_H_2,
    [final] ).

cnf(i_0_4395,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB0),X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X2,X1),X1) ),
    cls_Numeral_Obin__rel__simps__4_1,
    [final] ).

cnf(i_0_4396,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_4397,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_4398,axiom,
    c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
    cls_Event_Oused__Gets_0,
    [final] ).

cnf(i_0_4399,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
    cls_Message_OkeysFor__insert__MPair_0,
    [final] ).

cnf(i_0_4400,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
    cls_Public_Oanalz__spies__pubK_0,
    [final] ).

cnf(i_0_4401,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    cls_Message_ONonce__synth__eq_0,
    [final] ).

cnf(i_0_4402,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    cls_Message_OKey__synth__eq_0,
    [final] ).

cnf(i_0_4403,axiom,
    c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
    cls_Relation_Oconverse__converse_0,
    [final] ).

cnf(i_0_4404,axiom,
    c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    cls_List_Oremove1_Osimps__2_0,
    [final] ).

cnf(i_0_4405,axiom,
    c_List_Oop_Amem(X1,c_List_Olist_OCons(X1,X2,X3),X3),
    cls_List_Oop_Amem_Osimps__2_1,
    [final] ).

cnf(i_0_4406,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    cls_Set_Oinsert__iff_1,
    [final] ).

cnf(i_0_4407,axiom,
    c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_0,X3) = X1,
    cls_List_Onth__Cons__0_0,
    [final] ).

cnf(i_0_4408,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    cls_conjecture_4,
    [final] ).

cnf(i_0_4409,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_1,
    [final] ).

cnf(i_0_4410,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_1,
    [final] ).

cnf(i_0_4411,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_4412,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_4413,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_4414,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_4415,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_4416,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_4417,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_4418,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_4419,axiom,
    ( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
    | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X3,X2) ),
    cls_List_Osingleton__rev__conv_0,
    [final] ).

cnf(i_0_4420,axiom,
    ( X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil,X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil,X2) ),
    cls_List_Orev__singleton__conv_0,
    [final] ).

cnf(i_0_4421,axiom,
    ( X1 = c_0
    | c_div(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2 ),
    cls_IntDiv_Ozdiv__zmult__self2_0,
    [final] ).

cnf(i_0_4422,axiom,
    ( X1 = c_0
    | c_div(c_times(X2,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X2 ),
    cls_IntDiv_Ozdiv__zmult__self1_0,
    [final] ).

cnf(i_0_4423,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_4424,axiom,
    ( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
    cls_Message_ONonce__synth__eq_1,
    [final] ).

cnf(i_0_4425,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg) ),
    cls_Message_OKey__synth__eq_1,
    [final] ).

cnf(i_0_4426,axiom,
    ( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    cls_Message_Osynth_OHash_0,
    [final] ).

cnf(i_0_4427,axiom,
    c_in(X1,c_insert(X1,c_emptyset,X2),X2),
    cls_Set_OsingletonI_0,
    [final] ).

cnf(i_0_4428,axiom,
    ( c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    cls_Parity_Oeven__difference_2,
    [final] ).

cnf(i_0_4429,axiom,
    ( c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X2,tc_IntDef_Oint) ),
    cls_Parity_Oeven__sum_2,
    [final] ).

cnf(i_0_4430,axiom,
    ( c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    cls_Parity_Oeven__nat__sum_2,
    [final] ).

cnf(i_0_4431,axiom,
    ( c_less(c_0,c_Nat_Opower(X1,X2,tc_nat),tc_nat)
    | X1 = c_0 ),
    cls_Power_Onat__zero__less__power__iff_1,
    [final] ).

cnf(i_0_4432,plain,
    c_Nat_Osize(c_Message_Omsg_OHash(X1),tc_Message_Omsg) = c_plus(c_Nat_Osize(X1,tc_Message_Omsg),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3167,c_0_2973]),
    [final] ).

cnf(i_0_4433,axiom,
    c_lessequals(c_minus(X1,X2,tc_nat),X1,tc_nat),
    cls_Nat_Odiff__le__self_0,
    [final] ).

cnf(i_0_4434,axiom,
    c_lessequals(c_div(X1,X2,tc_nat),X1,tc_nat),
    cls_Divides_Odiv__le__dividend_0,
    [final] ).

cnf(i_0_4435,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_4436,axiom,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_nat),tc_nat),
    cls_Divides_Odvd__triv__left_0,
    [final] ).

cnf(i_0_4437,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_4438,axiom,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_nat),tc_nat),
    cls_Divides_Odvd__triv__right_0,
    [final] ).

cnf(i_0_4439,axiom,
    c_div(c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_0,
    cls_IntDiv_Omod__div__trivial_0,
    [final] ).

cnf(i_0_4440,axiom,
    c_div(c_Divides_Oop_Amod(X1,X2,tc_nat),X2,tc_nat) = c_0,
    cls_Divides_Onat__mod__div__trivial_0,
    [final] ).

cnf(i_0_4441,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_0,
    cls_IntDiv_Ozmod__zmult__self2_0,
    [final] ).

cnf(i_0_4442,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_IntDef_Oint),X2,tc_IntDef_Oint) = c_0,
    cls_IntDiv_Ozmod__zmult__self1_0,
    [final] ).

cnf(i_0_4443,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_nat),X1,tc_nat) = c_0,
    cls_Divides_Omod__mult__self1__is__0_0,
    [final] ).

cnf(i_0_4444,axiom,
    c_Divides_Oop_Amod(c_times(X1,X2,tc_nat),X2,tc_nat) = c_0,
    cls_Divides_Omod__mult__self__is__0_0,
    [final] ).

cnf(i_0_4445,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    cls_Set_OpsubsetE_1,
    [final] ).

cnf(i_0_4446,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_minus(X1,X2,tc_set(X3)) != c_emptyset ),
    cls_Set_ODiff__eq__empty__iff_0,
    [final] ).

cnf(i_0_4447,axiom,
    ( c_minus(X1,X2,tc_set(X3)) = c_emptyset
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_ODiff__eq__empty__iff_1,
    [final] ).

cnf(i_0_4448,axiom,
    ( c_List_Orotate1(X1,X2) = X1
    | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
    cls_List_Orotate1__length01_0,
    [final] ).

cnf(i_0_4449,axiom,
    ( c_less(X1,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat) ),
    cls_IntDef_Ozless__nat__conj_1,
    [final] ).

cnf(i_0_4450,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    cls_IntDef_Ozless__int_0,
    [final] ).

cnf(i_0_4451,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint) ),
    cls_IntDef_Ozle__int_0,
    [final] ).

cnf(i_0_4452,axiom,
    ( c_div(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Odiv__nat__number__of_0,
    [final] ).

cnf(i_0_4453,axiom,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Omod__nat__number__of_0,
    [final] ).

cnf(i_0_4454,axiom,
    ( c_times(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X2,tc_nat),tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Omult__nat__number__of_0,
    [final] ).

cnf(i_0_4455,axiom,
    ( c_less(c_0,X2,tc_IntDef_Oint)
    | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X2),tc_nat) ),
    cls_IntDef_Ozless__nat__conj_0,
    [final] ).

cnf(i_0_4456,axiom,
    ( c_plus(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,X3),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Obin__arith__extra__simps__1_0,
    [final] ).

cnf(i_0_4457,axiom,
    ( c_times(c_Numeral_Onumber__of(X2,X1),c_Numeral_Onumber__of(X3,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(X2,X3),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Obin__arith__extra__simps__4_0,
    [final] ).

cnf(i_0_4458,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_Oanalz__conj__parts_0,
    [final] ).

cnf(i_0_4459,axiom,
    ( c_less(c_0,X3,tc_nat)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Nat_Opower(X2,X3,X1) != c_0 ),
    cls_Power_Opower__eq__0__iff_1,
    [final] ).

cnf(i_0_4460,axiom,
    c_less(c_0,c_Nat_Opower(X1,c_0,tc_nat),tc_nat),
    cls_Power_Onat__zero__less__power__iff_2,
    [final] ).

cnf(i_0_4461,axiom,
    c_div(c_uminus(X1,tc_IntDef_Oint),c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_div(X1,X2,tc_IntDef_Oint),
    cls_IntDiv_Ozdiv__zminus__zminus_0,
    [final] ).

cnf(i_0_4462,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X2,c_Numeral_Obit_OB1),X1),X1) ),
    cls_Numeral_Obin__rel__simps__5_0,
    [final] ).

cnf(i_0_4463,axiom,
    ( c_less(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_less(X1,X2,tc_nat) ),
    cls_IntDef_Ozless__int_1,
    [final] ).

cnf(i_0_4464,axiom,
    ( c_lessequals(c_IntDef_Oint(X1),c_IntDef_Oint(X2),tc_IntDef_Oint)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_IntDef_Ozle__int_1,
    [final] ).

cnf(i_0_4465,axiom,
    ( c_Nat_Opower(c_0,X2,X1) = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_less(c_0,X2,tc_nat) ),
    cls_Power_Opower__eq__0__iff_2,
    [final] ).

cnf(i_0_4466,plain,
    ( ~ c_Parity_Oeven(X1,tc_nat)
    | ~ c_Parity_Oeven(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3168,c_0_2973]),
    [final] ).

cnf(i_0_4467,axiom,
    ~ c_less(c_IntDef_Oint(X1),c_uminus(c_IntDef_Oint(X2),tc_IntDef_Oint),tc_IntDef_Oint),
    cls_IntDef_Onot__int__zless__negative_0,
    [final] ).

cnf(i_0_4468,axiom,
    ( c_SetInterval_OgreaterThanAtMost(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OgreaterThanAtMost__empty_0,
    [final] ).

cnf(i_0_4469,axiom,
    ( c_SetInterval_OatLeastLessThan(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatLeastLessThan__empty_0,
    [final] ).

cnf(i_0_4470,axiom,
    ( c_SetInterval_OatLeastAtMost(X3,X2,X1) = c_emptyset
    | ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OatLeastAtMost__empty_0,
    [final] ).

cnf(i_0_4471,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    cls_Set_OCompl__iff_1,
    [final] ).

cnf(i_0_4472,axiom,
    ( c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
    | c_HOL_Oabs(c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Numeral_Obin__arith__extra__simps__6_1,
    [final] ).

cnf(i_0_4473,axiom,
    c_Nat_Osize(c_List_Orotate(X1,X2,X3),tc_List_Olist(X3)) = c_Nat_Osize(X2,tc_List_Olist(X3)),
    cls_List_Olength__rotate_0,
    [final] ).

cnf(i_0_4474,axiom,
    c_Nat_Osize(c_Sum__Type_OInr(X1,X2,X3),tc_sum(X3,X2)) = c_0,
    cls_Datatype_Osum_Osize__2_0,
    [final] ).

cnf(i_0_4475,axiom,
    c_Nat_Osize(c_Sum__Type_OInl(X1,X2,X3),tc_sum(X2,X3)) = c_0,
    cls_Datatype_Osum_Osize__1_0,
    [final] ).

cnf(i_0_4476,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    cls_Wellfounded__Recursion_Oacyclic__converse_1,
    [final] ).

cnf(i_0_4477,axiom,
    ( c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Odistinct__sublistI_0,
    [final] ).

cnf(i_0_4478,axiom,
    ( c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Odistinct__rotate_1,
    [final] ).

cnf(i_0_4479,axiom,
    ( c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Odistinct__remove1_0,
    [final] ).

cnf(i_0_4480,axiom,
    ( c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Odistinct__drop_0,
    [final] ).

cnf(i_0_4481,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oanalz_OInj_0,
    [final] ).

cnf(i_0_4482,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Osynth_OInj_0,
    [final] ).

cnf(i_0_4483,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_4484,axiom,
    ( c_less(c_0,X1,tc_IntDef_Oint)
    | ~ c_less(c_0,c_IntDef_Onat(X1),tc_nat) ),
    cls_IntDef_Ozero__less__nat__eq_0,
    [final] ).

cnf(i_0_4485,axiom,
    ( c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint) ),
    cls_IntDef_Ozero__less__int__conv_0,
    [final] ).

cnf(i_0_4486,axiom,
    ( c_in(X1,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
    cls_Public_OsymKeys__invKey__iff_0,
    [final] ).

cnf(i_0_4487,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(c_minus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__difference_3,
    [final] ).

cnf(i_0_4488,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | c_Parity_Oeven(X2,tc_IntDef_Oint)
    | c_Parity_Oeven(c_plus(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__sum_3,
    [final] ).

cnf(i_0_4489,axiom,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(X2,tc_nat)
    | c_Parity_Oeven(c_plus(X2,X1,tc_nat),tc_nat) ),
    cls_Parity_Oeven__nat__sum_3,
    [final] ).

cnf(i_0_4490,axiom,
    ( X2 = c_Datatype_Ooption_OSome(X1,X3)
    | ~ c_in(X1,c_Datatype_Oo2s(X2,X3),X3) ),
    cls_Datatype_Oelem__o2s_0,
    [final] ).

cnf(i_0_4491,axiom,
    ( c_minus(X2,c_uminus(X3,X1),X1) = c_plus(X2,X3,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Odiff__minus__eq__add_0,
    [final] ).

cnf(i_0_4492,axiom,
    ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
    | c_List_Oconcat(X1,X2) = c_List_Olist_ONil ),
    cls_List_Oconcat__eq__Nil__conv_1,
    [final] ).

cnf(i_0_4493,axiom,
    ( c_in(c_Main_ONil__eq__concat__conv__1(X1,X2),c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
    | c_List_Olist_ONil = c_List_Oconcat(X1,X2) ),
    cls_List_ONil__eq__concat__conv_1,
    [final] ).

cnf(i_0_4494,axiom,
    ( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    cls_Public_OsymKeys__invKey__iff_1,
    [final] ).

cnf(i_0_4495,axiom,
    ( c_less(c_0,c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
    cls_IntDef_Ozero__less__nat__eq_1,
    [final] ).

cnf(i_0_4496,axiom,
    ( c_less(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_IntDef_Ozero__less__int__conv_1,
    [final] ).

cnf(i_0_4497,axiom,
    ( X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Nat_Opower(X2,c_Numeral_Onumber__of(X3,tc_nat),X1) != c_0 ),
    cls_Parity_Opower__eq__0__iff__number__of_0,
    [final] ).

cnf(i_0_4498,axiom,
    ( c_Divides_Oop_Amod(X1,X2,tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Divides_Omod__less_0,
    [final] ).

cnf(i_0_4499,plain,
    ( c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) = c_1
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3169,c_0_2973]),
    [final] ).

cnf(i_0_4500,axiom,
    ( c_Numeral_Onumber__of(X2,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_6,
    [final] ).

cnf(i_0_4501,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(cn,[status(thm)],[i_0_3170]),
    [final] ).

cnf(i_0_4502,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X2,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__nat__number__of_10,
    [final] ).

cnf(i_0_4503,axiom,
    ( c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint) ),
    cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_1,
    [final] ).

cnf(i_0_4504,plain,
    ( X2 = X4
    | c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OMPair(X3,X4) ),
    inference(rw,[status(thm)],[i_0_3171,c_0_2986]),
    [final] ).

cnf(i_0_4505,plain,
    ( X2 = X4
    | c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) != c_Message_Omsg_OMPair(X1,X2) ),
    inference(rw,[status(thm)],[i_0_3172,c_0_2986]),
    [final] ).

cnf(i_0_4506,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_minus(X1,X2,tc_nat) != c_0 ),
    cls_Nat_Odiff__is__0__eq_0,
    [final] ).

cnf(i_0_4507,axiom,
    ( c_minus(X1,X2,tc_nat) = c_0
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_Odiff__is__0__eq_H_0,
    [final] ).

cnf(i_0_4508,axiom,
    ( c_div(X1,X2,tc_nat) = c_0
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Divides_Odiv__less_0,
    [final] ).

cnf(i_0_4509,axiom,
    ( c_Parity_Oeven(c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    cls_Parity_Oeven__product_1,
    [final] ).

cnf(i_0_4510,axiom,
    ( c_Parity_Oeven(c_times(X1,X2,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    cls_Parity_Oeven__nat__product_1,
    [final] ).

cnf(i_0_4511,axiom,
    ( c_Parity_Oeven(c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    cls_Parity_Oeven__product_2,
    [final] ).

cnf(i_0_4512,axiom,
    ( c_Parity_Oeven(c_times(X2,X1,tc_nat),tc_nat)
    | ~ c_Parity_Oeven(X1,tc_nat) ),
    cls_Parity_Oeven__nat__product_2,
    [final] ).

cnf(i_0_4513,axiom,
    ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat),
    cls_List_Olength__greater__0__conv_0,
    [final] ).

cnf(i_0_4514,plain,
    ( c_List_Oupt(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat)) = c_List_Olist_ONil
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3173,c_0_2973]),
    [final] ).

cnf(i_0_4515,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Ohd(c_append(X1,X2,X3),X3) = c_List_Ohd(X1,X3) ),
    cls_List_Ohd__append2_0,
    [final] ).

cnf(i_0_4516,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olast(c_append(X2,X1,X3),X3) = c_List_Olast(X1,X3) ),
    cls_List_Olast__appendR_0,
    [final] ).

cnf(i_0_4517,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olast(c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olast(X1,X3) ),
    cls_List_Olast_Osimps_1,
    [final] ).

cnf(i_0_4518,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_LOrder_Omeet(X2,c_uminus(X2,X1),X1) != c_0 ),
    cls_OrderedGroup_Omeet__0__eq__0_0,
    [final] ).

cnf(i_0_4519,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | c_LOrder_Ojoin(X2,c_uminus(X2,X1),X1) != c_0 ),
    cls_OrderedGroup_Ojoin__0__eq__0_0,
    [final] ).

cnf(i_0_4520,plain,
    ( X1 = c_1
    | c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) != c_times(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3174,c_0_2973]),
    [final] ).

cnf(i_0_4521,plain,
    ( X2 = c_1
    | c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) != c_times(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_3175,c_0_2973]),
    [final] ).

cnf(i_0_4522,plain,
    ( X1 = c_1
    | c_times(X1,X2,tc_nat) != c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3176,c_0_2973]),
    [final] ).

cnf(i_0_4523,plain,
    ( X2 = c_1
    | c_times(X1,X2,tc_nat) != c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3177,c_0_2973]),
    [final] ).

cnf(i_0_4524,plain,
    ( c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X1),tc_nat)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rw,[status(thm)],[i_0_3178,c_0_2973]),
    [final] ).

cnf(i_0_4525,axiom,
    c_Nat_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)) = c_minus(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat),
    cls_List_Olength__tl_0,
    [final] ).

cnf(i_0_4526,axiom,
    c_Nat_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2)) = c_minus(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat),
    cls_List_Olength__butlast_0,
    [final] ).

cnf(i_0_4527,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OCrypt(X3,X4),
    inference(rw,[status(thm)],[i_0_3179,c_0_2986]),
    [final] ).

cnf(i_0_4528,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) != c_Message_Omsg_OCrypt(X1,X2),
    inference(rw,[status(thm)],[i_0_3180,c_0_2986]),
    [final] ).

cnf(i_0_4529,axiom,
    ( c_plus(c_1,c_1,X1) = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_IntArith_Oarith__special__1_0,
    [final] ).

cnf(i_0_4530,axiom,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ORange(X1,X2,X2),
    cls_Transitive__Closure_Otrancl__range_0,
    [final] ).

cnf(i_0_4531,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ODomain(X1,X2,X2),
    cls_Transitive__Closure_Otrancl__domain_0,
    [final] ).

cnf(i_0_4532,axiom,
    c_List_Oset(c_List_Orotate(X1,X2,X3),X3) = c_List_Oset(X2,X3),
    cls_List_Oset__rotate_0,
    [final] ).

cnf(i_0_4533,axiom,
    ( c_div(X1,X1,tc_nat) = c_1
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Divides_Odiv__self_0,
    [final] ).

cnf(i_0_4534,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
    cls_Public_Ospies__pubK_0,
    [final] ).

cnf(i_0_4535,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_Oknows(X3,c_List_Olist_ONil),tc_Message_Omsg),
    inference(rw,[status(thm)],[i_0_3181,c_0_3156]),
    [final] ).

cnf(i_0_4536,axiom,
    ( c_HOL_Oinverse(c_Numeral_Onumber__of(X2,X1),X1) = c_divide(c_1,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Oinverse__eq__divide__number__of_0,
    [final] ).

cnf(i_0_4537,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_NatArith_Oof__nat(X2,X1),c_0,X1) ),
    cls_NatArith_Oof__nat__le__0__iff_0,
    [final] ).

cnf(i_0_4538,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(c_HOL_Oabs(X2,X1),c_0,X1) ),
    cls_OrderedGroup_Oabs__le__zero__iff_0,
    [final] ).

cnf(i_0_4539,axiom,
    c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
    cls_Datatype_Oelem__o2s_1,
    [final] ).

cnf(i_0_4540,axiom,
    c_List_Olast(c_append(X1,c_List_Olist_ONil,X2),X2) = c_List_Olast(X1,X2),
    cls_List_Olast__appendL_0,
    [final] ).

cnf(i_0_4541,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_NatArith_Oof__nat(X2,X1),c_0,X1) ),
    cls_NatArith_Oof__nat__less__0__iff_0,
    [final] ).

cnf(i_0_4542,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_less(c_HOL_Oabs(X2,X1),c_0,X1) ),
    cls_OrderedGroup_Oabs__not__less__zero_0,
    [final] ).

cnf(i_0_4543,plain,
    c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)) = c_plus(c_1,c_IntDef_Oint(X1),tc_IntDef_Oint),
    inference(rw,[status(thm)],[i_0_3182,c_0_2973]),
    [final] ).

cnf(i_0_4544,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
    cls_Public_OCrypt__notin__used__empty_0,
    [final] ).

cnf(i_0_4545,plain,
    ( c_Nat_Opower(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),X1) = c_0
    | ~ class_Power_Orecpower(X1) ),
    inference(rw,[status(thm)],[i_0_3183,c_0_2973]),
    [final] ).

cnf(i_0_4546,axiom,
    c_plus(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(X1,X2,tc_IntDef_Oint),
    cls_IntArith_Oz1_A_L_A_N_Aw1_A_61_61_Az1_A_N_Aw1_0,
    [final] ).

cnf(i_0_4547,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    cls_conjecture_5,
    [final] ).

cnf(i_0_4548,axiom,
    c_Nat_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
    cls_List_Olength__replicate_0,
    [final] ).

cnf(i_0_4549,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_less(c_0,c_HOL_Oabs(c_0,X1),X1) ),
    cls_OrderedGroup_Ozero__less__abs__iff_0,
    [final] ).

cnf(i_0_4550,axiom,
    ( c_Finite__Set_OMin(c_insert(X2,c_emptyset,X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Finite__Set_OMin__singleton_0,
    [final] ).

cnf(i_0_4551,axiom,
    ( c_Finite__Set_OMax(c_insert(X2,c_emptyset,X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Finite__Set_OMax__singleton_0,
    [final] ).

cnf(i_0_4552,axiom,
    c_Numeral_Obin__mult(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X2) = c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_Obin__mult(X1,X2),c_Numeral_Obit_OB0),X2),
    cls_Numeral_Obin__mult__1_0,
    [final] ).

cnf(i_0_4553,plain,
    ( X2 = c_List_Olist_ONil
    | X1 = c_0
    | c_List_Osublist(X2,c_SetInterval_OlessThan(X1,tc_nat),X3) != c_List_Olist_ONil ),
    inference(rw,[status(thm)],[i_0_3184,c_0_2984]),
    [final] ).

cnf(i_0_4554,axiom,
    ( c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1) = c_0
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_0 ),
    cls_NatSimprocs_Odivide__eq__eq__number__of_1,
    [final] ).

cnf(i_0_4555,axiom,
    ( c_0 = c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_0 ),
    cls_NatSimprocs_Oeq__divide__eq__number__of_2,
    [final] ).

cnf(i_0_4556,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_ONumber(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    cls_Message_OkeysFor__insert__Number_0,
    [final] ).

cnf(i_0_4557,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    cls_Message_OkeysFor__insert__Nonce_0,
    [final] ).

cnf(i_0_4558,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    cls_Message_OkeysFor__insert__Key_0,
    [final] ).

cnf(i_0_4559,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    cls_Message_OkeysFor__insert__Hash_0,
    [final] ).

cnf(i_0_4560,axiom,
    c_Message_OkeysFor(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
    cls_Message_OkeysFor__insert__Agent_0,
    [final] ).

cnf(i_0_4561,axiom,
    ( c_List_Ohd(c_List_Oupt(X1,X2),tc_nat) = X1
    | ~ c_less(X1,X2,tc_nat) ),
    cls_List_Ohd__upt_0,
    [final] ).

cnf(i_0_4562,axiom,
    ( X1 = c_0
    | c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    cls_List_Ohd__replicate_0,
    [final] ).

cnf(i_0_4563,axiom,
    ( X1 = c_0
    | c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    cls_List_Olast__replicate_0,
    [final] ).

cnf(i_0_4564,axiom,
    ~ c_in(c_Public_OpublicKey(X1,X2),c_Message_OsymKeys,tc_nat),
    cls_Public_Onot__symKeys__pubK_0,
    [final] ).

cnf(i_0_4565,plain,
    c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3185,c_0_2973]),
    [final] ).

cnf(i_0_4566,axiom,
    c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    cls_List_Otl_Osimps__2_0,
    [final] ).

cnf(i_0_4567,axiom,
    c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
    cls_List_Ohd_Osimps_0,
    [final] ).

cnf(i_0_4568,axiom,
    ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
    cls_Parity_Oeven_A_Inumber__of_Av_J_A_61_61_Aeven_A_Iint_A_Inumber__of_Av_J_J_0,
    [final] ).

cnf(i_0_4569,plain,
    c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3186,c_0_2973]),
    [final] ).

cnf(i_0_4570,axiom,
    ( c_uminus(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1) = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_NatSimprocs_Ominus__equation__iff__number__of_1,
    [final] ).

cnf(i_0_4571,axiom,
    ( c_Numeral_Onumber__of(X2,X1) = c_uminus(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_NatSimprocs_Oequation__minus__iff__number__of_1,
    [final] ).

cnf(i_0_4572,axiom,
    ( c_divide(c_0,X2,X1) = c_divide(c_0,X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__cancel__left_1,
    [final] ).

cnf(i_0_4573,axiom,
    ( c_divide(X2,c_0,X1) = c_divide(X3,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__cancel__right_1,
    [final] ).

cnf(i_0_4574,axiom,
    ( X1 = c_UNIV
    | ~ c_in(X1,X2,tc_set(X3))
    | c_Inter(X2,X3) != c_UNIV ),
    cls_Set_OInter__UNIV__conv__1_0,
    [final] ).

cnf(i_0_4575,axiom,
    ( X1 = c_emptyset
    | ~ c_in(X1,X2,tc_set(X3))
    | c_Union(X2,X3) != c_emptyset ),
    cls_Set_OUnion__empty__conv_0,
    [final] ).

cnf(i_0_4576,axiom,
    ( X1 = c_UNIV
    | ~ c_in(X1,X2,tc_set(X3))
    | c_UNIV != c_Inter(X2,X3) ),
    cls_Set_OInter__UNIV__conv__2_0,
    [final] ).

cnf(i_0_4577,axiom,
    ( X1 = c_emptyset
    | ~ c_in(X1,X2,tc_set(X3))
    | c_emptyset != c_Union(X2,X3) ),
    cls_Set_Oempty__Union__conv_0,
    [final] ).

cnf(i_0_4578,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_ONumber(X3),
    inference(rw,[status(thm)],[i_0_3187,c_0_2986]),
    [final] ).

cnf(i_0_4579,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_ONonce(X3),
    inference(rw,[status(thm)],[i_0_3188,c_0_2986]),
    [final] ).

cnf(i_0_4580,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OKey(X3),
    inference(rw,[status(thm)],[i_0_3189,c_0_2986]),
    [final] ).

cnf(i_0_4581,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OHash(X3),
    inference(rw,[status(thm)],[i_0_3190,c_0_2986]),
    [final] ).

cnf(i_0_4582,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OAgent(X3),
    inference(rw,[status(thm)],[i_0_3191,c_0_2986]),
    [final] ).

cnf(i_0_4583,plain,
    c_Message_Omsg_ONumber(X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
    inference(rw,[status(thm)],[i_0_3192,c_0_2986]),
    [final] ).

cnf(i_0_4584,plain,
    c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
    inference(rw,[status(thm)],[i_0_3193,c_0_2986]),
    [final] ).

cnf(i_0_4585,plain,
    c_Message_Omsg_OKey(X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
    inference(rw,[status(thm)],[i_0_3194,c_0_2986]),
    [final] ).

cnf(i_0_4586,plain,
    c_Message_Omsg_OHash(X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
    inference(rw,[status(thm)],[i_0_3195,c_0_2986]),
    [final] ).

cnf(i_0_4587,plain,
    c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
    inference(rw,[status(thm)],[i_0_3196,c_0_2986]),
    [final] ).

cnf(i_0_4588,axiom,
    c_Nat_Osize(c_Event_Oevent_OSays(X1,X2,X3),tc_Event_Oevent) = c_0,
    cls_Event_Oevent_Osize__1_0,
    [final] ).

cnf(i_0_4589,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_0,
    [final] ).

cnf(i_0_4590,axiom,
    ( c_HOL_Oabs(X2,X1) = c_uminus(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_OrderedGroup_Oabs__of__nonpos_0,
    [final] ).

cnf(i_0_4591,axiom,
    ( X1 = c_0
    | ~ c_less(c_HOL_Oabs(X1,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
    cls_IntArith_Ozabs__less__one__iff_0,
    [final] ).

cnf(i_0_4592,axiom,
    c_Set_Ocontents(c_insert(X1,c_emptyset,X2),X2) = X1,
    cls_Set_Ocontents__eq_0,
    [final] ).

cnf(i_0_4593,axiom,
    c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = X1,
    cls_List_Olast_Osimps_0,
    [final] ).

cnf(i_0_4594,plain,
    c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3197,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_4595,axiom,
    c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X2) = c_List_Olist_ONil,
    cls_List_Obutlast_Osimps__2_0,
    [final] ).

cnf(i_0_4596,axiom,
    ( X1 = c_emptyset
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_Finite__Set_Ocard(X1,X2) != c_0 ),
    cls_Finite__Set_Ocard__0__eq_0,
    [final] ).

cnf(i_0_4597,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Event_Oused(X3),tc_Message_Omsg),
    cls_Public_OpublicKey__into__used_0,
    [final] ).

cnf(i_0_4598,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1) ),
    cls_Parity_Oneg__one__odd__power_0,
    [final] ).

cnf(i_0_4599,axiom,
    ( c_Parity_Oeven(X2,tc_nat)
    | c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_uminus(c_1,X1)
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_Parity_Ominus__one__odd__power_0,
    [final] ).

cnf(i_0_4600,plain,
    c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__add(c_Numeral_Obin__mult(c_Numeral_OMin,X1),c_Numeral_OMin),c_Numeral_Obit_OB1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3198,c_0_3199]),c_0_3021]),c_0_3021]),
    [final] ).

cnf(i_0_4601,plain,
    c_div(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) = X1,
    inference(rw,[status(thm)],[i_0_3200,c_0_2973]),
    [final] ).

cnf(i_0_4602,plain,
    c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X1,tc_nat),
    inference(rw,[status(thm)],[i_0_3201,c_0_2973]),
    [final] ).

cnf(i_0_4603,plain,
    c_Divides_Oop_Amod(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) = c_0,
    inference(rw,[status(thm)],[i_0_3202,c_0_2973]),
    [final] ).

cnf(i_0_4604,axiom,
    ( c_SetInterval_OatLeastAtMost(X2,X2,X1) = c_insert(X2,c_emptyset,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_SetInterval_OatLeastAtMost__singleton_0,
    [final] ).

cnf(i_0_4605,plain,
    c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3203,c_0_2973]),
    [final] ).

cnf(i_0_4606,plain,
    ( X1 = X2
    | c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) != c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3204,c_0_2973]),c_0_2973]),
    [final] ).

cnf(i_0_4607,axiom,
    ( c_times(c_0,X2,X1) = c_times(c_0,X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Ofield__mult__cancel__left_1,
    [final] ).

cnf(i_0_4608,axiom,
    ( c_times(X2,c_0,X1) = c_times(X3,c_0,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Ofield__mult__cancel__right_1,
    [final] ).

cnf(i_0_4609,axiom,
    ( c_divide(X2,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_NatSimprocs_Odivide__minus1_0,
    [final] ).

cnf(i_0_4610,axiom,
    ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Power_Orecpower(X1)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    cls_Parity_Oneg__one__even__power_0,
    [final] ).

cnf(i_0_4611,axiom,
    ( c_Nat_Opower(c_uminus(c_1,X1),X2,X1) = c_1
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ c_Parity_Oeven(X2,tc_nat) ),
    cls_Parity_Ominus__one__even__power_0,
    [final] ).

cnf(i_0_4612,axiom,
    c_Nat_Opower(X1,c_1,tc_set(tc_prod(X2,X2))) = X1,
    cls_Relation__Power_Orel__pow__1_0,
    [final] ).

cnf(i_0_4613,axiom,
    c_Nat_Opower(X1,c_0,tc_set(tc_prod(X2,X2))) = c_Relation_OId,
    cls_Relation__Power_Orelpow_Osimps__1_0,
    [final] ).

cnf(i_0_4614,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),c_Numeral_OBit(X2,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__add(X1,c_Numeral_Obin__succ(X2)),c_Numeral_Obit_OB0),
    cls_Numeral_Obin__add__BIT__11_0,
    [final] ).

cnf(i_0_4615,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otl(X1,X2),X2) = X1 ),
    cls_List_Ohd__Cons__tl_0,
    [final] ).

cnf(i_0_4616,axiom,
    ( c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2)
    | X1 = c_List_Olist_ONil ),
    cls_List_Ohd__in__set_0,
    [final] ).

cnf(i_0_4617,axiom,
    ( c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2)
    | X1 = c_List_Olist_ONil ),
    cls_List_Olast__in__set_0,
    [final] ).

cnf(i_0_4618,axiom,
    c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
    cls_Event_Oevent_Odistinct__3_0,
    [final] ).

cnf(i_0_4619,axiom,
    c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
    cls_Event_Oevent_Odistinct__1_0,
    [final] ).

cnf(i_0_4620,axiom,
    c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
    cls_Event_Oevent_Odistinct__4_0,
    [final] ).

cnf(i_0_4621,axiom,
    c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
    cls_Event_Oevent_Odistinct__2_0,
    [final] ).

cnf(i_0_4622,axiom,
    ( c_OrderedGroup_Opprt(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_OrderedGroup_Opprt__eq__id_0,
    [final] ).

cnf(i_0_4623,axiom,
    ( c_HOL_Oabs(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_OrderedGroup_Oabs__of__nonneg_0,
    [final] ).

cnf(i_0_4624,axiom,
    ( c_OrderedGroup_Onprt(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_OrderedGroup_Onprt__eq__id_0,
    [final] ).

cnf(i_0_4625,axiom,
    ( c_OrderedGroup_Onprt(X2,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(c_0,X2,X1) ),
    cls_OrderedGroup_Onprt__eq__0_0,
    [final] ).

cnf(i_0_4626,axiom,
    ( c_OrderedGroup_Opprt(X2,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | ~ c_lessequals(X2,c_0,X1) ),
    cls_OrderedGroup_Opprt__eq__0_0,
    [final] ).

cnf(i_0_4627,axiom,
    ( c_Finite__Set_Ocard(c_emptyset,X1) = c_0
    | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
    cls_Finite__Set_Ocard__0__eq_1,
    [final] ).

cnf(i_0_4628,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1) = c_1
    | ~ class_Power_Orecpower(X1)
    | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
    cls_Parity_Opower__0__left__number__of_0,
    [final] ).

cnf(i_0_4629,axiom,
    ( X3 = c_0
    | X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(X2,X3,X1) != c_0 ),
    cls_Ring__and__Field_Odivide__eq__0__iff_0,
    [final] ).

cnf(i_0_4630,axiom,
    ( X3 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(X2,X3,X1) != c_1 ),
    cls_Ring__and__Field_Odivide__eq__eq__1_1,
    [final] ).

cnf(i_0_4631,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_divide(X2,X3,X1) != c_1 ),
    cls_Ring__and__Field_Odivide__eq__1__iff_1,
    [final] ).

cnf(i_0_4632,axiom,
    ( X3 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_1 != c_divide(X2,X3,X1) ),
    cls_Ring__and__Field_Oeq__divide__eq__1_1,
    [final] ).

cnf(i_0_4633,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_1 != c_divide(X2,X3,X1) ),
    cls_Ring__and__Field_Oone__eq__divide__iff_1,
    [final] ).

cnf(i_0_4634,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),c_Numeral_OBit(X2,X3)) = c_Numeral_OBit(c_Numeral_Obin__add(X1,X2),X3),
    cls_Numeral_Obin__add__BIT__0_0,
    [final] ).

cnf(i_0_4635,axiom,
    c_times(c_0,X1,tc_nat) = c_times(c_0,X2,tc_nat),
    cls_Nat_Omult__cancel1_1,
    [final] ).

cnf(i_0_4636,axiom,
    c_times(X1,c_0,tc_nat) = c_times(X2,c_0,tc_nat),
    cls_Nat_Omult__cancel2_1,
    [final] ).

cnf(i_0_4637,axiom,
    ( X2 = c_0
    | ~ class_Power_Orecpower(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_Nat_Opower(X2,X3,X1) != c_0 ),
    cls_Power_Opower__eq__0__iff_0,
    [final] ).

cnf(i_0_4638,axiom,
    ( c_in(c_Main_OInter__UNIV__conv__1__1(X1,X2),X1,tc_set(X2))
    | c_Inter(X1,X2) = c_UNIV ),
    cls_Set_OInter__UNIV__conv__1_1,
    [final] ).

cnf(i_0_4639,axiom,
    ( c_in(c_Main_OUnion__empty__conv__1(X1,X2),X1,tc_set(X2))
    | c_Union(X1,X2) = c_emptyset ),
    cls_Set_OUnion__empty__conv_1,
    [final] ).

cnf(i_0_4640,axiom,
    ( c_in(c_Main_OInter__UNIV__conv__2__1(X1,X2),X1,tc_set(X2))
    | c_UNIV = c_Inter(X1,X2) ),
    cls_Set_OInter__UNIV__conv__2_1,
    [final] ).

cnf(i_0_4641,axiom,
    ( c_in(c_Main_Oempty__Union__conv__1(X1,X2),X1,tc_set(X2))
    | c_emptyset = c_Union(X1,X2) ),
    cls_Set_Oempty__Union__conv_1,
    [final] ).

cnf(i_0_4642,axiom,
    ( c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint) ),
    cls_IntArith_Oint__eq__iff__number__of_1,
    [final] ).

cnf(i_0_4643,axiom,
    ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X2,tc_nat),X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oof__nat__number__of__eq_0,
    [final] ).

cnf(i_0_4644,axiom,
    ( c_uminus(c_Numeral_Onumber__of(X3,X1),X1) = X2
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_Numeral_Onumber__of(X3,X1) ),
    cls_NatSimprocs_Ominus__equation__iff__number__of_0,
    [final] ).

cnf(i_0_4645,axiom,
    ( X3 = c_uminus(c_Numeral_Onumber__of(X2,X1),X1)
    | ~ class_Numeral_Onumber(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_Numeral_Onumber__of(X2,X1) != c_uminus(X3,X1) ),
    cls_NatSimprocs_Oequation__minus__iff__number__of_0,
    [final] ).

cnf(i_0_4646,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(c_1,X2,X1) != c_0 ),
    cls_Ring__and__Field_Oone__divide__eq__0__iff_0,
    [final] ).

cnf(i_0_4647,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_0 != c_divide(c_1,X2,X1) ),
    cls_Ring__and__Field_Ozero__eq__1__divide__iff_0,
    [final] ).

cnf(i_0_4648,axiom,
    ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X2,X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Omult__minus1_0,
    [final] ).

cnf(i_0_4649,axiom,
    ( c_times(X2,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Omult__minus1__right_0,
    [final] ).

cnf(i_0_4650,axiom,
    ( c_List_Oupt(X2,X1) = c_List_Olist_ONil
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_List_Oupt__eq__Nil__conv_2,
    [final] ).

cnf(i_0_4651,axiom,
    c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),c_Numeral_OBit(X2,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__add(X1,X2),c_Numeral_Obit_OB1),
    cls_Numeral_Obin__add__BIT__10_0,
    [final] ).

cnf(i_0_4652,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_divide(X2,c_0,X1) != c_1 ),
    cls_Ring__and__Field_Odivide__eq__eq__1_0,
    [final] ).

cnf(i_0_4653,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | c_1 != c_divide(X2,c_0,X1) ),
    cls_Ring__and__Field_Oeq__divide__eq__1_0,
    [final] ).

cnf(i_0_4654,axiom,
    ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
    cls_Public_ONonce__notin__used__empty_0,
    [final] ).

cnf(i_0_4655,axiom,
    ( X2 = c_0
    | X3 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_times(X2,X3,X1) != X2 ),
    cls_Ring__and__Field_Omult__cancel__left2_0,
    [final] ).

cnf(i_0_4656,axiom,
    ( X3 = c_0
    | X2 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_times(X2,X3,X1) != X3 ),
    cls_Ring__and__Field_Omult__cancel__right2_0,
    [final] ).

cnf(i_0_4657,axiom,
    ( X2 = c_0
    | X3 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | X2 != c_times(X2,X3,X1) ),
    cls_Ring__and__Field_Omult__cancel__left1_0,
    [final] ).

cnf(i_0_4658,axiom,
    ( X2 = c_0
    | X3 = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | X2 != c_times(X3,X2,X1) ),
    cls_Ring__and__Field_Omult__cancel__right1_0,
    [final] ).

cnf(i_0_4659,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg),
    cls_Public_OshrK__in__knows_0,
    [final] ).

cnf(i_0_4660,axiom,
    ( X3 = c_0
    | X2 = c_0
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_times(X2,X3,X1) != c_0 ),
    cls_Ring__and__Field_Omult__eq__0__iff_0,
    [final] ).

cnf(i_0_4661,axiom,
    ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X2,tc_nat),X1) = c_0
    | c_Numeral_Onumber__of(X2,tc_nat) = c_0
    | ~ class_Power_Orecpower(X1) ),
    cls_Parity_Opower__0__left__number__of_1,
    [final] ).

cnf(i_0_4662,axiom,
    c_Nat_Osize(c_List_Oupt(X1,X2),tc_List_Olist(tc_nat)) = c_minus(X2,X1,tc_nat),
    cls_List_Olength__upt_0,
    [final] ).

cnf(i_0_4663,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_minus(X2,X3,X1) != c_0 ),
    cls_OrderedGroup_Odiff__eq__0__iff__eq_0,
    [final] ).

cnf(i_0_4664,axiom,
    ( X1 = c_emptyset
    | ~ c_lessequals(X1,c_emptyset,tc_set(X2)) ),
    cls_Set_Osubset__empty_0,
    [final] ).

cnf(i_0_4665,plain,
    ( c_Parity_Oeven(X1,tc_nat)
    | c_Parity_Oeven(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_3205,c_0_2973]),
    [final] ).

cnf(i_0_4666,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_4667,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(X1,c_List_Olist_ONil),tc_Message_Omsg),
    inference(rw,[status(thm)],[i_0_3206,c_0_3156]),
    [final] ).

cnf(i_0_4668,axiom,
    c_Relation_Oconverse(c_Relation_Odiag(X1,X2),X2,X2) = c_Relation_Odiag(X1,X2),
    cls_Relation_Oconverse__diag_0,
    [final] ).

cnf(i_0_4669,axiom,
    ( c_HOL_Oabs(c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_HOL_Oabs(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    cls_Ring__and__Field_Oabs__inverse_0,
    [final] ).

cnf(i_0_4670,axiom,
    ( c_HOL_Oinverse(c_uminus(X2,X1),X1) = c_uminus(c_HOL_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Oinverse__minus__eq_0,
    [final] ).

cnf(i_0_4671,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X2,tc_nat),X1) = c_Numeral_Onumber__of(X2,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_NatBin_Oof__nat__number__of__eq_1,
    [final] ).

cnf(i_0_4672,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X2,X1) ),
    cls_Orderings_Oorder__less__irrefl_0,
    [final] ).

cnf(i_0_4673,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    cls_conjecture_1,
    [final] ).

cnf(i_0_4674,axiom,
    ~ c_less(X1,c_emptyset,tc_set(X2)),
    cls_Set_Onot__psubset__empty_0,
    [final] ).

cnf(i_0_4675,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2) = c_insert(X1,c_emptyset,X2),
    cls_Datatype_Oo2s_Osimps__2_0,
    [final] ).

cnf(i_0_4676,axiom,
    ( c_IntDef_Oint(c_IntDef_Onat(X1)) = X1
    | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
    cls_IntDef_Oint__nat__eq_0,
    [final] ).

cnf(i_0_4677,axiom,
    ( X1 = c_0
    | ~ c_lessequals(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint) ),
    cls_IntDef_Oint__le__0__conv_0,
    [final] ).

cnf(i_0_4678,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
    cls_NatBin_Oeq__number__of__0_0,
    [final] ).

cnf(i_0_4679,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_0 != c_Numeral_Onumber__of(X1,tc_nat) ),
    cls_NatBin_Oeq__0__number__of_0,
    [final] ).

cnf(i_0_4680,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_1,
    [final] ).

cnf(i_0_4681,axiom,
    ~ c_less(c_IntDef_Oint(X1),c_0,tc_IntDef_Oint),
    cls_IntDef_Oint__less__0__conv_0,
    [final] ).

cnf(i_0_4682,axiom,
    ( X2 = c_0
    | c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,
    [final] ).

cnf(i_0_4683,axiom,
    ( X2 = c_0
    | c_times(X2,c_HOL_Oinverse(X2,X1),X1) = c_1
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Oright__inverse_0,
    [final] ).

cnf(i_0_4684,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    cls_List_Oappend__self__conv2_0,
    [final] ).

cnf(i_0_4685,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X1 ),
    cls_List_Oappend__self__conv_0,
    [final] ).

cnf(i_0_4686,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X1,X2,X3) ),
    cls_List_Oself__append__conv_0,
    [final] ).

cnf(i_0_4687,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X2,X1,X3) ),
    cls_List_Oself__append__conv2_0,
    [final] ).

cnf(i_0_4688,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_less(c_1,c_0,X1) ),
    cls_Ring__and__Field_Onot__one__less__zero_0,
    [final] ).

cnf(i_0_4689,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_1,c_0,X1) ),
    cls_Ring__and__Field_Onot__one__le__zero_0,
    [final] ).

cnf(i_0_4690,axiom,
    ~ c_in(X1,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
    cls_Message_Oparts__emptyE_0,
    [final] ).

cnf(i_0_4691,axiom,
    ( c_less(c_0,c_HOL_Oabs(X2,X1),X1)
    | X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Ozero__less__abs__iff_1,
    [final] ).

cnf(i_0_4692,axiom,
    ( c_plus(c_uminus(X2,X1),X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0,
    [final] ).

cnf(i_0_4693,axiom,
    ( c_plus(X2,c_uminus(X2,X1),X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Oright__minus_0,
    [final] ).

cnf(i_0_4694,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Oappend__is__Nil__conv_0,
    [final] ).

cnf(i_0_4695,axiom,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    cls_Set_OUn__empty_0,
    [final] ).

cnf(i_0_4696,axiom,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    cls_Equiv__Relations_Oquotient__is__empty_0,
    [final] ).

cnf(i_0_4697,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Orotate(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Orotate__is__Nil__conv_0,
    [final] ).

cnf(i_0_4698,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Oappend__is__Nil__conv_1,
    [final] ).

cnf(i_0_4699,axiom,
    ( X2 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    cls_Set_OUn__empty_1,
    [final] ).

cnf(i_0_4700,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    cls_List_ONil__is__append__conv_0,
    [final] ).

cnf(i_0_4701,axiom,
    ( X1 = c_emptyset
    | c_emptyset != c_Equiv__Relations_Oquotient(X1,X2,X3) ),
    cls_Equiv__Relations_Oquotient__is__empty2_0,
    [final] ).

cnf(i_0_4702,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    cls_List_ONil__is__append__conv_1,
    [final] ).

cnf(i_0_4703,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    cls_List_Ox2_A_D_At1_A_61_At1_A_61_61_AFalse_0,
    [final] ).

cnf(i_0_4704,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    cls_List_Onot__Cons__self_0,
    [final] ).

cnf(i_0_4705,axiom,
    ( X2 = c_0
    | X1 = c_0
    | c_times(X1,X2,tc_nat) != c_0 ),
    cls_Nat_Omult__is__0_0,
    [final] ).

cnf(i_0_4706,axiom,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    cls_Public_OinvKey__K_0,
    [final] ).

cnf(i_0_4707,axiom,
    ( c_lessequals(c_OrderedGroup_Onprt(X2,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    cls_OrderedGroup_Onprt__le__zero_0,
    [final] ).

cnf(i_0_4708,axiom,
    ( c_in(c_NatArith_Oof__nat(X2,X1),c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    cls_IntDef_Oof__nat__in__Nats_0,
    [final] ).

cnf(i_0_4709,axiom,
    ( c_lessequals(c_0,c_OrderedGroup_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    cls_OrderedGroup_Ozero__le__pprt_0,
    [final] ).

cnf(i_0_4710,axiom,
    ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__ge__zero_0,
    [final] ).

cnf(i_0_4711,axiom,
    ( c_lessequals(c_0,c_NatArith_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_NatArith_Oof__nat__0__le__iff_0,
    [final] ).

cnf(i_0_4712,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_Infinite__Set_Onat__infinite_0,
    [final] ).

cnf(i_0_4713,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil,
    cls_List_Olist_Odistinct__2_0,
    [final] ).

cnf(i_0_4714,axiom,
    c_insert(X1,X2,X3) != c_emptyset,
    cls_Set_Oinsert__not__empty_0,
    [final] ).

cnf(i_0_4715,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    cls_List_Olist_Odistinct__1_0,
    [final] ).

cnf(i_0_4716,axiom,
    c_emptyset != c_insert(X1,X2,X3),
    cls_Set_Oempty__not__insert_0,
    [final] ).

cnf(i_0_4717,axiom,
    ( c_IntDef_Onat(X1) = c_0
    | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
    cls_IntDef_Onat__le__0_0,
    [final] ).

cnf(i_0_4718,axiom,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    cls_Nat_Oadd__is__0_0,
    [final] ).

cnf(i_0_4719,axiom,
    ( X2 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    cls_Nat_Oadd__is__0_1,
    [final] ).

cnf(i_0_4720,axiom,
    c_div(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(X1,tc_IntDef_Oint),
    cls_IntDiv_Ozdiv__minus1__right_0,
    [final] ).

cnf(i_0_4721,axiom,
    c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    cls_List_Ofinite__set_0,
    [final] ).

cnf(i_0_4722,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_4723,axiom,
    ( c_IntDef_Oof__int(c_uminus(X2,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X2,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_Oof__int__minus_0,
    [final] ).

cnf(i_0_4724,plain,
    ( c_uminus(c_Numeral_Onumber__of(X2,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__mult(c_Numeral_OMin,X2),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    inference(rw,[status(thm)],[i_0_3207,c_0_3021]),
    [final] ).

cnf(i_0_4725,axiom,
    ~ c_List_Oop_Amem(X1,c_List_Olist_ONil,X2),
    cls_List_Oop_Amem_Osimps__1_0,
    [final] ).

cnf(i_0_4726,axiom,
    ~ c_in(X1,c_emptyset,X2),
    cls_Set_Oempty__iff_0,
    [final] ).

cnf(i_0_4727,axiom,
    ~ c_less(X1,X1,tc_nat),
    cls_Nat_Oless__irrefl_0,
    [final] ).

cnf(i_0_4728,axiom,
    ( c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oint__nat__number__of_0,
    [final] ).

cnf(i_0_4729,axiom,
    ( c_lessequals(c_HOL_Oabs(c_0,X1),c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__le__zero__iff_1,
    [final] ).

cnf(i_0_4730,axiom,
    ( c_lessequals(c_NatArith_Oof__nat(c_0,X1),c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_NatArith_Oof__nat__le__0__iff_1,
    [final] ).

cnf(i_0_4731,axiom,
    ( c_LOrder_Omeet(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    cls_OrderedGroup_Omeet__0__eq__0_1,
    [final] ).

cnf(i_0_4732,axiom,
    ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X1),X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    cls_OrderedGroup_Ojoin__0__eq__0_1,
    [final] ).

cnf(i_0_4733,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    cls_IntDiv_Ozdvd__0__left_0,
    [final] ).

cnf(i_0_4734,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    cls_Divides_Odvd__0__left__iff_0,
    [final] ).

cnf(i_0_4735,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    cls_Nat_Oless__one_0,
    [final] ).

cnf(i_0_4736,axiom,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    cls_Nat_Ole__0__eq_0,
    [final] ).

cnf(i_0_4737,axiom,
    ( c_in(c_Main_Oall__not__in__conv__1(X1,X2),X1,X2)
    | X1 = c_emptyset ),
    cls_Set_Oall__not__in__conv_0,
    [final] ).

cnf(i_0_4738,plain,
    c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) = c_times(c_1,c_1,tc_nat),
    inference(rw,[status(thm)],[i_0_3208,c_0_2973]),
    [final] ).

cnf(i_0_4739,plain,
    c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3209,c_0_2973]),
    [final] ).

cnf(i_0_4740,plain,
    c_Binomial_Obinomial(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)) = c_0,
    inference(rw,[status(thm)],[i_0_3210,c_0_2973]),
    [final] ).

cnf(i_0_4741,axiom,
    c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2) = X1,
    cls_Relation_ORange__diag_0,
    [final] ).

cnf(i_0_4742,axiom,
    c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2) = X1,
    cls_Relation_ODomain__diag_0,
    [final] ).

cnf(i_0_4743,axiom,
    ~ c_less(X1,c_0,tc_nat),
    cls_Nat_Onot__less0_0,
    [final] ).

cnf(i_0_4744,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_4745,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_4746,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    cls_Nat_Onot__gr0_1,
    [final] ).

cnf(i_0_4747,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_6,
    [final] ).

cnf(i_0_4748,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    cls_Event_OServer_A_58_Abad_A_61_61_AFalse_0,
    [final] ).

cnf(i_0_4749,plain,
    c_append(c_List_Orev(c_List_Olist_ONil,X2),X1,X2) = X1,
    inference(rw,[status(thm)],[i_0_3211,c_0_3042]),
    [final] ).

cnf(i_0_4750,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
    cls_List_Odistinct1__rotate_0,
    [final] ).

cnf(i_0_4751,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
    cls_List_Odistinct__rev_0,
    [final] ).

cnf(i_0_4752,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
    cls_Public_OshrK__in__used_0,
    [final] ).

cnf(i_0_4753,plain,
    c_Binomial_Obinomial(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)) = X1,
    inference(rw,[status(thm)],[i_0_3212,c_0_2973]),
    [final] ).

cnf(i_0_4754,axiom,
    ( c_lessequals(X2,X1,tc_nat)
    | X2 = c_0
    | c_List_Oupt(X1,X2) != c_List_Olist_ONil ),
    cls_List_Oupt__eq__Nil__conv_0,
    [final] ).

cnf(i_0_4755,plain,
    c_List_Osublist(c_List_Olist_ONil,c_SetInterval_OlessThan(X1,tc_nat),X2) = c_List_Olist_ONil,
    inference(rw,[status(thm)],[i_0_3213,c_0_2984]),
    [final] ).

cnf(i_0_4756,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oint(c_Numeral_Onumber__of(X1,tc_nat)) = c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
    cls_NatBin_Oint__nat__number__of_1,
    [final] ).

cnf(i_0_4757,axiom,
    c_Numeral_Obin__mult(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X2) = c_Numeral_OBit(c_Numeral_Obin__mult(X1,X2),c_Numeral_Obit_OB0),
    cls_Numeral_Obin__mult__0_0,
    [final] ).

cnf(i_0_4758,axiom,
    c_Message_Oanalz(c_Message_Osynth(X1)) = c_union(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_Message_Omsg),
    cls_Message_Oanalz__synth_0,
    [final] ).

cnf(i_0_4759,axiom,
    c_Message_Oparts(c_Message_Osynth(X1)) = c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg),
    cls_Message_Oparts__synth_0,
    [final] ).

cnf(i_0_4760,plain,
    c_List_Osublist(X1,c_SetInterval_OlessThan(c_0,tc_nat),X2) = c_List_Olist_ONil,
    inference(rw,[status(thm)],[i_0_3214,c_0_2984]),
    [final] ).

cnf(i_0_4761,axiom,
    ( c_minus(c_0,X2,X1) = c_uminus(X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Odiff__0_0,
    [final] ).

cnf(i_0_4762,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_Finite__Set_Ocard(X1,X2) = c_0 ),
    cls_Finite__Set_Ocard__infinite_0,
    [final] ).

cnf(i_0_4763,axiom,
    c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_0,
    cls_IntDiv_Ozmod__minus1__right_0,
    [final] ).

cnf(i_0_4764,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1) ),
    cls_Numeral_Obin__rel__simps__7_0,
    [final] ).

cnf(i_0_4765,axiom,
    c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
    cls_IntArith_Ozabs__less__one__iff_1,
    [final] ).

cnf(i_0_4766,plain,
    c_Numeral_OBit(c_Numeral_Obin__add(X1,c_Numeral_OMin),c_Numeral_Obit_OB1) = c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),c_Numeral_OMin),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3215,c_0_3199]),c_0_3199]),
    [final] ).

cnf(i_0_4767,plain,
    c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(c_Numeral_Obin__mult(c_Numeral_OMin,X1),c_Numeral_Obit_OB0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_3216,c_0_3021]),c_0_3021]),
    [final] ).

cnf(i_0_4768,axiom,
    ( X2 = c_0
    | c_divide(X2,X2,X1) = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    cls_Ring__and__Field_Odivide__eq__eq__1_2,
    [final] ).

cnf(i_0_4769,axiom,
    ( X2 = c_0
    | c_1 = c_divide(X2,X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    cls_Ring__and__Field_Oeq__divide__eq__1_2,
    [final] ).

cnf(i_0_4770,axiom,
    c_List_Olistset(c_List_Olist_ONil,X1) = c_insert(c_List_Olist_ONil,c_emptyset,tc_List_Olist(X1)),
    cls_List_Olistset_Osimps__1_0,
    [final] ).

cnf(i_0_4771,axiom,
    c_Pow(c_emptyset,X1) = c_insert(c_emptyset,c_emptyset,tc_set(X1)),
    cls_Set_OPow__empty_0,
    [final] ).

cnf(i_0_4772,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OpublicKey(X3,X4),
    cls_Public_OprivateKey_Ab1_AA1_A_61_ApublicKey_Ac1_AA_H1_A_61_61_AFalse_0,
    [final] ).

cnf(i_0_4773,axiom,
    c_Public_OpublicKey(X1,X2) != c_Message_OinvKey(c_Public_OpublicKey(X3,X4)),
    cls_Public_OpublicKey__neq__privateKey_0,
    [final] ).

cnf(i_0_4774,axiom,
    ( c_Parity_Oeven(X1,tc_IntDef_Oint)
    | ~ c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_Parity_Oeven__neg_0,
    [final] ).

cnf(i_0_4775,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__number__of__0_2,
    [final] ).

cnf(i_0_4776,axiom,
    ( c_Numeral_Onumber__of(X1,tc_nat) = c_0
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__number__of__0_1,
    [final] ).

cnf(i_0_4777,axiom,
    ( c_0 = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__0__number__of_2,
    [final] ).

cnf(i_0_4778,axiom,
    ( c_0 = c_Numeral_Onumber__of(X1,tc_nat)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_NatBin_Oeq__0__number__of_1,
    [final] ).

cnf(i_0_4779,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_4780,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_4781,axiom,
    ( c_divide(c_0,X2,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__eq__0__iff_1,
    [final] ).

cnf(i_0_4782,axiom,
    ( c_divide(X2,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__eq__0__iff_2,
    [final] ).

cnf(i_0_4783,axiom,
    ( c_uminus(c_SetInterval_OgreaterThan(X2,X1),tc_set(X1)) = c_SetInterval_OatMost(X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_SetInterval_OCompl__greaterThan_0,
    [final] ).

cnf(i_0_4784,axiom,
    ( c_uminus(c_SetInterval_OatLeast(X2,X1),tc_set(X1)) = c_SetInterval_OlessThan(X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_SetInterval_OCompl__atLeast_0,
    [final] ).

cnf(i_0_4785,axiom,
    ( c_uminus(c_SetInterval_OlessThan(X2,X1),tc_set(X1)) = c_SetInterval_OatLeast(X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_SetInterval_OCompl__lessThan_0,
    [final] ).

cnf(i_0_4786,axiom,
    ( c_uminus(c_SetInterval_OatMost(X2,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_SetInterval_OCompl__atMost_0,
    [final] ).

cnf(i_0_4787,axiom,
    c_Nat_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)),
    cls_List_Olength__rotate1_0,
    [final] ).

cnf(i_0_4788,axiom,
    c_Nat_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)),
    cls_List_Olength__rev_0,
    [final] ).

cnf(i_0_4789,axiom,
    ( c_divide(c_1,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    cls_Ring__and__Field_Oone__divide__eq__0__iff_1,
    [final] ).

cnf(i_0_4790,axiom,
    ( c_divide(c_0,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__self__if_0,
    [final] ).

cnf(i_0_4791,axiom,
    ( c_0 = c_divide(c_1,c_0,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    cls_Ring__and__Field_Ozero__eq__1__divide__iff_1,
    [final] ).

cnf(i_0_4792,axiom,
    ( ~ class_Numeral_Onumber__ring(X1)
    | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) ),
    cls_Numeral_Obin__rel__simps__3_0,
    [final] ).

cnf(i_0_4793,axiom,
    ( X1 = X3
    | c_uminus(X1,tc_set(X2)) != c_uminus(X3,tc_set(X2)) ),
    cls_Set_OCompl__eq__Compl__iff_0,
    [final] ).

cnf(i_0_4794,axiom,
    c_in(c_Message_Omsg_ONumber(X1),c_Message_Osynth(X2),tc_Message_Omsg),
    cls_Message_ONumber__synth_0,
    [final] ).

cnf(i_0_4795,axiom,
    c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
    cls_Message_OAgent__synth_0,
    [final] ).

cnf(i_0_4796,axiom,
    ( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Odistinct1__rotate_1,
    [final] ).

cnf(i_0_4797,axiom,
    ( c_List_Odistinct(c_List_Orev(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_List_Odistinct__rev_1,
    [final] ).

cnf(i_0_4798,axiom,
    ( c_LOrder_Omeet(X2,X2,X1) = X2
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    cls_LOrder_Omeet__idempotent_0,
    [final] ).

cnf(i_0_4799,axiom,
    ( c_LOrder_Ojoin(X2,X2,X1) = X2
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    cls_LOrder_Ojoin__idempotent_0,
    [final] ).

cnf(i_0_4800,axiom,
    ( c_Orderings_Omin(X2,X2,X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Orderings_Omin__max_Obelow__inf_Oinf__idem_0,
    [final] ).

cnf(i_0_4801,axiom,
    ( c_Orderings_Omax(X2,X2,X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Orderings_Omin__max_Obelow__sup_Osup__idem_0,
    [final] ).

cnf(i_0_4802,axiom,
    ( c_lessequals(c_0,X1,tc_IntDef_Oint)
    | c_IntDef_Oint(c_IntDef_Onat(X1)) = c_0 ),
    cls_IntDef_Oint__nat__eq_1,
    [final] ).

cnf(i_0_4803,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_Orderings_Oorder__class_Oaxioms__1_0,
    [final] ).

cnf(i_0_4804,axiom,
    ( c_minus(X2,X2,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Odiff__self_0,
    [final] ).

cnf(i_0_4805,axiom,
    ( c_HOL_Oabs(c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__idempotent_0,
    [final] ).

cnf(i_0_4806,axiom,
    ( c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__minus__cancel_0,
    [final] ).

cnf(i_0_4807,axiom,
    ( c_plus(c_0,X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,
    [final] ).

cnf(i_0_4808,axiom,
    ( c_times(c_1,X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,
    [final] ).

cnf(i_0_4809,axiom,
    ( c_divide(X2,c_1,X1) = X2
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Odivide__1_0,
    [final] ).

cnf(i_0_4810,axiom,
    ( c_Nat_Opower(X2,c_1,X1) = X2
    | ~ class_Power_Orecpower(X1) ),
    cls_Power_Opower__one__right_0,
    [final] ).

cnf(i_0_4811,axiom,
    ( c_minus(X2,c_0,X1) = X2
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Odiff__0__right_0,
    [final] ).

cnf(i_0_4812,axiom,
    ( c_plus(X2,c_0,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_OrderedGroup_Oadd__0__right_0,
    [final] ).

cnf(i_0_4813,axiom,
    ( c_times(X2,c_1,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    cls_OrderedGroup_Omonoid__mult__class_Oaxioms__2_0,
    [final] ).

cnf(i_0_4814,axiom,
    ( X2 = c_times(c_1,X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Ring__and__Field_Omult__cancel__right1_2,
    [final] ).

cnf(i_0_4815,axiom,
    ( X2 = c_times(X2,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Ring__and__Field_Omult__cancel__left1_2,
    [final] ).

cnf(i_0_4816,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(X2,X1) != c_HOL_Oinverse(X3,X1) ),
    cls_Ring__and__Field_Oinverse__eq__iff__eq_0,
    [final] ).

cnf(i_0_4817,axiom,
    c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
    cls_SetInterval_OatMost__0_0,
    [final] ).

cnf(i_0_4818,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    cls_Set_Osubset__refl_0,
    [final] ).

cnf(i_0_4819,axiom,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    cls_Set_ODiff__cancel_0,
    [final] ).

cnf(i_0_4820,axiom,
    ( c_Nat_Opower(c_1,X2,X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    cls_Power_Opower__one_0,
    [final] ).

cnf(i_0_4821,axiom,
    ( c_times(c_0,X2,X1) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    cls_Ring__and__Field_Omult__zero__left_0,
    [final] ).

cnf(i_0_4822,axiom,
    ( c_Nat_Opower(X2,c_0,X1) = c_1
    | ~ class_Power_Orecpower(X1) ),
    cls_Power_Orecpower__class_Oaxioms__1_0,
    [final] ).

cnf(i_0_4823,axiom,
    ( c_times(X2,c_0,X1) = c_0
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
    cls_Ring__and__Field_Omult__zero__right_0,
    [final] ).

cnf(i_0_4824,axiom,
    ( c_0 = c_times(c_0,X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Ring__and__Field_Omult__cancel__left1_1,
    [final] ).

cnf(i_0_4825,axiom,
    ( c_0 = c_times(X2,c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Ring__and__Field_Omult__cancel__right1_1,
    [final] ).

cnf(i_0_4826,axiom,
    c_minus(X1,c_emptyset,tc_set(X2)) = X1,
    cls_Set_ODiff__empty_0,
    [final] ).

cnf(i_0_4827,axiom,
    c_uminus(c_uminus(X1,tc_set(X2)),tc_set(X2)) = X1,
    cls_Set_Odouble__complement_0,
    [final] ).

cnf(i_0_4828,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    cls_Set_Oempty__subsetI_0,
    [final] ).

cnf(i_0_4829,axiom,
    c_lessequals(X1,c_UNIV,tc_set(X2)),
    cls_Set_Osubset__UNIV_0,
    [final] ).

cnf(i_0_4830,axiom,
    c_minus(c_emptyset,X1,tc_set(X2)) = c_emptyset,
    cls_Set_Oempty__Diff_0,
    [final] ).

cnf(i_0_4831,axiom,
    c_minus(X1,c_UNIV,tc_set(X2)) = c_emptyset,
    cls_Set_ODiff__UNIV_0,
    [final] ).

cnf(i_0_4832,axiom,
    ( c_less(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_Ring__and__Field_Oordered__semidom__class_Oaxioms_0,
    [final] ).

cnf(i_0_4833,axiom,
    ( c_lessequals(c_0,c_1,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_Ring__and__Field_Ozero__le__one_0,
    [final] ).

cnf(i_0_4834,axiom,
    ( c_in(c_1,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    cls_IntDef_ONats__1_0,
    [final] ).

cnf(i_0_4835,axiom,
    ( c_in(c_1,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_OInts__1_0,
    [final] ).

cnf(i_0_4836,axiom,
    ( c_in(c_0,c_IntDef_ONats,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    cls_IntDef_ONats__0_0,
    [final] ).

cnf(i_0_4837,axiom,
    ( c_in(c_0,c_IntDef_OInts,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_OInts__0_0,
    [final] ).

cnf(i_0_4838,axiom,
    ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X2,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X2,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_Oof__int__of__nat__eq_0,
    [final] ).

cnf(i_0_4839,axiom,
    c_in(c_Public_OshrK(X1),c_Message_OsymKeys,tc_nat),
    cls_Public_OshrK_AX1_A_58_AsymKeys_A_61_61_ATrue_0,
    [final] ).

cnf(i_0_4840,axiom,
    c_lessequals(c_0,c_IntDef_Oint(X1),tc_IntDef_Oint),
    cls_IntDef_Ozero__zle__int_0,
    [final] ).

cnf(i_0_4841,axiom,
    c_lessequals(c_emptyset,c_emptyset,tc_set(X1)),
    cls_Set_Osubset__empty_1,
    [final] ).

cnf(i_0_4842,axiom,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    cls_Finite__Set_OFinites_OemptyI_0,
    [final] ).

cnf(i_0_4843,plain,
    c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(X1,c_List_Olist_ONil))) = c_emptyset,
    inference(rw,[status(thm)],[i_0_3217,c_0_3156]),
    [final] ).

cnf(i_0_4844,plain,
    c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) != c_0,
    inference(rw,[status(thm)],[i_0_3218,c_0_2973]),
    [final] ).

cnf(i_0_4845,plain,
    c_0 != c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3219,c_0_2973]),
    [final] ).

cnf(i_0_4846,axiom,
    ( c_Parity_Oeven(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
    cls_Parity_Oeven__neg_1,
    [final] ).

cnf(i_0_4847,axiom,
    c_union(X1,X1,X2) = X1,
    cls_Set_OUn__absorb_0,
    [final] ).

cnf(i_0_4848,axiom,
    ( c_HOL_Oinverse(c_HOL_Oinverse(X2,X1),X1) = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Oinverse__inverse__eq_0,
    [final] ).

cnf(i_0_4849,axiom,
    ( X1 = c_0
    | c_div(X1,X1,tc_IntDef_Oint) = c_1 ),
    cls_IntDiv_Ozdiv__self_0,
    [final] ).

cnf(i_0_4850,axiom,
    c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
    cls_IntDef_Oint__le__0__conv_1,
    [final] ).

cnf(i_0_4851,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_0,
    [final] ).

cnf(i_0_4852,axiom,
    ( X1 = c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint))
    | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint) ),
    cls_IntArith_Oint__eq__iff__number__of_0,
    [final] ).

cnf(i_0_4853,axiom,
    c_List_Oset(c_List_Orotate1(X1,X2),X2) = c_List_Oset(X1,X2),
    cls_List_Oset__rotate1_0,
    [final] ).

cnf(i_0_4854,axiom,
    c_List_Oset(c_List_Orev(X1,X2),X2) = c_List_Oset(X1,X2),
    cls_List_Oset__rev_0,
    [final] ).

cnf(i_0_4855,axiom,
    c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
    cls_List_Oset__remdups_0,
    [final] ).

cnf(i_0_4856,axiom,
    c_List_Odrop(c_0,X1,X2) = X1,
    cls_List_Odrop__0_0,
    [final] ).

cnf(i_0_4857,axiom,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    cls_List_Oappend__self__conv2_1,
    [final] ).

cnf(i_0_4858,axiom,
    c_union(c_emptyset,X1,X2) = X1,
    cls_Set_OUn__empty__left_0,
    [final] ).

cnf(i_0_4859,axiom,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    cls_List_Oappend__self__conv_1,
    [final] ).

cnf(i_0_4860,axiom,
    c_union(X1,c_emptyset,X2) = X1,
    cls_Set_OUn__empty__right_0,
    [final] ).

cnf(i_0_4861,axiom,
    c_Datatype_Ounit_Ounit__rec(X1,c_Product__Type_OUnity,X2) = X1,
    cls_Datatype_Ounit_Orecs_0,
    [final] ).

cnf(i_0_4862,axiom,
    c_Datatype_Ounit_Ounit__case(X1,c_Product__Type_OUnity,X2) = X1,
    cls_Datatype_Ounit_Ocases_0,
    [final] ).

cnf(i_0_4863,axiom,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    cls_List_Oself__append__conv2_1,
    [final] ).

cnf(i_0_4864,axiom,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    cls_List_Oself__append__conv_1,
    [final] ).

cnf(i_0_4865,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OshrK(X3),
    cls_Public_OshrK__neq__priK_0,
    [final] ).

cnf(i_0_4866,axiom,
    c_Public_OshrK(X1) != c_Message_OinvKey(c_Public_OpublicKey(X2,X3)),
    cls_Public_OpriK__neq__shrK_0,
    [final] ).

cnf(i_0_4867,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OgreaterThan(X2,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
    cls_SetInterval_OgreaterThan__eq__iff_0,
    [final] ).

cnf(i_0_4868,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatLeast(X2,X1) != c_SetInterval_OatLeast(X3,X1) ),
    cls_SetInterval_OatLeast__eq__iff_0,
    [final] ).

cnf(i_0_4869,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_IntDef_Oof__int(X2,X1) != c_IntDef_Oof__int(X3,X1) ),
    cls_IntDef_Oof__int__eq__iff_0,
    [final] ).

cnf(i_0_4870,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_NatArith_Oof__nat(X2,X1) != c_NatArith_Oof__nat(X3,X1) ),
    cls_NatArith_Oof__nat__eq__iff_0,
    [final] ).

cnf(i_0_4871,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OlessThan(X2,X1) != c_SetInterval_OlessThan(X3,X1) ),
    cls_SetInterval_OlessThan__eq__iff_0,
    [final] ).

cnf(i_0_4872,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatMost(X2,X1) != c_SetInterval_OatMost(X3,X1) ),
    cls_SetInterval_OatMost__eq__iff_0,
    [final] ).

cnf(i_0_4873,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_uminus(X3,X1) ),
    cls_OrderedGroup_Oneg__equal__iff__equal_0,
    [final] ).

cnf(i_0_4874,axiom,
    ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_IntArith_Oof__int__m1_0,
    [final] ).

cnf(i_0_4875,axiom,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    cls_Nat_Onot__gr0_0,
    [final] ).

cnf(i_0_4876,axiom,
    c_in(X1,c_UNIV,X2),
    cls_Set_OUNIV__I_0,
    [final] ).

cnf(i_0_4877,axiom,
    c_Divides_Oop_Advd(X1,X1,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__refl_0,
    [final] ).

cnf(i_0_4878,axiom,
    c_Divides_Oop_Advd(X1,X1,tc_nat),
    cls_Divides_Odvd__refl_0,
    [final] ).

cnf(i_0_4879,axiom,
    c_List_Olist__inter(c_List_Olist_ONil,X1,X2) = c_List_Olist_ONil,
    cls_List_Olist__inter_Osimps__1_0,
    [final] ).

cnf(i_0_4880,axiom,
    c_List_Oreplicate(c_0,X1,X2) = c_List_Olist_ONil,
    cls_List_Oreplicate_Oreplicate__0_0,
    [final] ).

cnf(i_0_4881,axiom,
    c_List_Osublist(c_List_Olist_ONil,X1,X2) = c_List_Olist_ONil,
    cls_List_Osublist__nil_0,
    [final] ).

cnf(i_0_4882,axiom,
    c_union(c_UNIV,X1,X2) = c_UNIV,
    cls_Set_OUn__UNIV__left_0,
    [final] ).

cnf(i_0_4883,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
    cls_Equiv__Relations_Oquotient__is__empty_1,
    [final] ).

cnf(i_0_4884,axiom,
    c_Relation_Oconverse(c_Relation_OId,X1,X1) = c_Relation_OId,
    cls_Relation_Oconverse__Id_0,
    [final] ).

cnf(i_0_4885,axiom,
    c_Relation_ORange(c_Relation_OId,X1,X1) = c_UNIV,
    cls_Relation_ORange__Id_0,
    [final] ).

cnf(i_0_4886,axiom,
    c_Relation_ORange(c_emptyset,X1,X2) = c_emptyset,
    cls_Relation_ORange__empty_0,
    [final] ).

cnf(i_0_4887,axiom,
    c_Relation_ODomain(c_Relation_OId,X1,X1) = c_UNIV,
    cls_Relation_ODomain__Id_0,
    [final] ).

cnf(i_0_4888,axiom,
    c_Relation_ODomain(c_emptyset,X1,X2) = c_emptyset,
    cls_Relation_ODomain__empty_0,
    [final] ).

cnf(i_0_4889,axiom,
    c_List_Olexn(X1,c_0,X2) = c_emptyset,
    cls_List_Olexn_Osimps__1_0,
    [final] ).

cnf(i_0_4890,axiom,
    c_List_Osublist(X1,c_emptyset,X2) = c_List_Olist_ONil,
    cls_List_Osublist__empty_0,
    [final] ).

cnf(i_0_4891,axiom,
    c_List_Orotate(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    cls_List_Orotate__is__Nil__conv_1,
    [final] ).

cnf(i_0_4892,axiom,
    c_List_Oremove1(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    cls_List_Oremove1_Osimps__1_0,
    [final] ).

cnf(i_0_4893,axiom,
    c_List_Odrop(X1,c_List_Olist_ONil,X2) = c_List_Olist_ONil,
    cls_List_Odrop_Odrop__Nil_0,
    [final] ).

cnf(i_0_4894,axiom,
    c_union(X1,c_UNIV,X2) = c_UNIV,
    cls_Set_OUn__UNIV__right_0,
    [final] ).

cnf(i_0_4895,axiom,
    c_minus(X1,X1,tc_nat) = c_0,
    cls_Nat_Odiff__self__eq__0_0,
    [final] ).

cnf(i_0_4896,axiom,
    c_Divides_Oop_Amod(X1,X1,tc_IntDef_Oint) = c_0,
    cls_IntDiv_Ozmod__self_0,
    [final] ).

cnf(i_0_4897,axiom,
    c_Divides_Oop_Amod(X1,X1,tc_nat) = c_0,
    cls_Divides_Omod__self_0,
    [final] ).

cnf(i_0_4898,axiom,
    c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X1,X2),
    cls_Equiv__Relations_Oquotient__is__empty2_1,
    [final] ).

cnf(i_0_4899,axiom,
    c_Orderings_Omax(c_0,X1,tc_nat) = X1,
    cls_Nat_Omax__0L_0,
    [final] ).

cnf(i_0_4900,axiom,
    c_plus(c_0,X1,tc_nat) = X1,
    cls_Nat_Oop_A_L_Oadd__0_0,
    [final] ).

cnf(i_0_4901,axiom,
    c_minus(X1,c_0,tc_nat) = X1,
    cls_Nat_Oop_A_N_Odiff__0_0,
    [final] ).

cnf(i_0_4902,axiom,
    c_Orderings_Omax(X1,c_0,tc_nat) = X1,
    cls_Nat_Omax__0R_0,
    [final] ).

cnf(i_0_4903,axiom,
    c_div(X1,c_1,tc_IntDef_Oint) = X1,
    cls_IntDiv_Ozdiv__1_0,
    [final] ).

cnf(i_0_4904,axiom,
    c_plus(X1,c_0,tc_nat) = X1,
    cls_Nat_Oadd__0__right_0,
    [final] ).

cnf(i_0_4905,axiom,
    c_Divides_Oop_Amod(X1,c_0,tc_IntDef_Oint) = X1,
    cls_IntDiv_ODIVISION__BY__ZERO_0,
    [final] ).

cnf(i_0_4906,axiom,
    c_Divides_Oop_Amod(X1,c_0,tc_nat) = X1,
    cls_Divides_ODIVISION__BY__ZERO__MOD_0,
    [final] ).

cnf(i_0_4907,axiom,
    c_lessequals(c_0,X1,tc_nat),
    cls_Nat_Ole0_0,
    [final] ).

cnf(i_0_4908,axiom,
    c_Divides_Oop_Advd(c_1,X1,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__1__left_0,
    [final] ).

cnf(i_0_4909,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__0__right_0,
    [final] ).

cnf(i_0_4910,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_nat),
    cls_Divides_Odvd__0__right_0,
    [final] ).

cnf(i_0_4911,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Oappend__is__Nil__conv_2,
    [final] ).

cnf(i_0_4912,axiom,
    c_union(c_emptyset,c_emptyset,X1) = c_emptyset,
    cls_Set_OUn__empty_2,
    [final] ).

cnf(i_0_4913,axiom,
    c_minus(c_0,X1,tc_nat) = c_0,
    cls_Nat_Odiff__0__eq__0_0,
    [final] ).

cnf(i_0_4914,axiom,
    c_Orderings_Omin(c_0,X1,tc_nat) = c_0,
    cls_Nat_Omin__0L_0,
    [final] ).

cnf(i_0_4915,axiom,
    c_div(c_0,X1,tc_IntDef_Oint) = c_0,
    cls_IntDiv_Ozdiv__zero_0,
    [final] ).

cnf(i_0_4916,axiom,
    c_div(c_0,X1,tc_nat) = c_0,
    cls_Divides_Odiv__0_0,
    [final] ).

cnf(i_0_4917,axiom,
    c_Divides_Oop_Amod(c_0,X1,tc_IntDef_Oint) = c_0,
    cls_IntDiv_Ozmod__zero_0,
    [final] ).

cnf(i_0_4918,axiom,
    c_Divides_Oop_Amod(c_0,X1,tc_nat) = c_0,
    cls_Divides_Omod__0_0,
    [final] ).

cnf(i_0_4919,axiom,
    c_times(c_0,X1,tc_nat) = c_0,
    cls_Nat_Oop_A_K_Omult__0_0,
    [final] ).

cnf(i_0_4920,axiom,
    c_Nat_Opower(X1,c_0,tc_IntDef_Oint) = c_1,
    cls_IntDiv_Opower_Osimps__1_0,
    [final] ).

cnf(i_0_4921,axiom,
    c_Nat_Opower(X1,c_0,tc_nat) = c_1,
    cls_Power_Opower_Osimps__1_0,
    [final] ).

cnf(i_0_4922,axiom,
    c_Orderings_Omin(X1,c_0,tc_nat) = c_0,
    cls_Nat_Omin__0R_0,
    [final] ).

cnf(i_0_4923,axiom,
    c_div(X1,c_0,tc_nat) = c_0,
    cls_Divides_ODIVISION__BY__ZERO__DIV_0,
    [final] ).

cnf(i_0_4924,axiom,
    c_Divides_Oop_Amod(X1,c_1,tc_IntDef_Oint) = c_0,
    cls_IntDiv_Ozmod__1_0,
    [final] ).

cnf(i_0_4925,axiom,
    c_times(X1,c_0,tc_nat) = c_0,
    cls_Nat_Omult__0__right_0,
    [final] ).

cnf(i_0_4926,axiom,
    c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1),
    cls_List_ONil__is__append__conv_2,
    [final] ).

cnf(i_0_4927,axiom,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Numeral_Obin__rel__simps__11_0,
    [final] ).

cnf(i_0_4928,axiom,
    ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_IntArith_Oabs__minus__one_0,
    [final] ).

cnf(i_0_4929,axiom,
    ( c_uminus(c_uminus(c_1,X1),X1) = c_1
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_NatSimprocs_Oequation__minus__iff__1_1,
    [final] ).

cnf(i_0_4930,axiom,
    ( X2 = c_uminus(c_1,X1)
    | ~ class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_1 ),
    cls_NatSimprocs_Oequation__minus__iff__1_0,
    [final] ).

cnf(i_0_4931,axiom,
    c_less(c_0,c_1,tc_nat),
    cls_Nat_Oless__one_1,
    [final] ).

cnf(i_0_4932,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    cls_Nat_Ole__0__eq_1,
    [final] ).

cnf(i_0_4933,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__0__left_1,
    [final] ).

cnf(i_0_4934,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    cls_Divides_Odvd__0__left__iff_1,
    [final] ).

cnf(i_0_4935,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    cls_conjecture_2,
    [final] ).

cnf(i_0_4936,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    cls_Event_OSpy_A_58_Abad_A_61_61_ATrue_0,
    [final] ).

cnf(i_0_4937,axiom,
    c_plus(c_0,c_0,tc_nat) = c_0,
    cls_Nat_Oadd__is__0_2,
    [final] ).

cnf(i_0_4938,axiom,
    c_Message_OinvKey(c_Public_OpublicKey(c_Public_Okeymode_OEncryption,X1)) != c_Public_OshrK(X2),
    cls_Public_OpriEK__noteq__shrK_0,
    [final] ).

cnf(i_0_4939,axiom,
    ( c_uminus(c_uminus(X2,X1),X1) = X2
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Ominus__minus_0,
    [final] ).

cnf(i_0_4940,plain,
    c_Numeral_Obin__add(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),c_Numeral_OMin) = c_Numeral_OBit(X1,c_Numeral_Obit_OB0),
    inference(rw,[status(thm)],[i_0_3220,c_0_3199]),
    [final] ).

cnf(i_0_4941,axiom,
    ( X1 = X3
    | c_Public_OpublicKey(X1,X2) != c_Public_OpublicKey(X3,X4) ),
    cls_Public_OpublicKey__inject_0,
    [final] ).

cnf(i_0_4942,axiom,
    ( X1 = X3
    | c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_ONotes(X3,X4) ),
    cls_Event_Oevent_Oinject__3_0,
    [final] ).

cnf(i_0_4943,axiom,
    ( X1 = X3
    | c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
    cls_Event_Oevent_Oinject__2_0,
    [final] ).

cnf(i_0_4944,axiom,
    ( X1 = X3
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    cls_Message_Omsg_Oinject__7_0,
    [final] ).

cnf(i_0_4945,axiom,
    ( X1 = X3
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    cls_Message_Omsg_Oinject__6_0,
    [final] ).

cnf(i_0_4946,axiom,
    ( X1 = X3
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    cls_List_Ochar_Oinject_0,
    [final] ).

cnf(i_0_4947,axiom,
    ( X1 = X3
    | c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
    cls_List_Orev__is__rev__conv_0,
    [final] ).

cnf(i_0_4948,axiom,
    ( X1 = X3
    | c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_OSome(X3,X2) ),
    cls_Datatype_Ooption_Oinject_0,
    [final] ).

cnf(i_0_4949,axiom,
    ( X2 = X4
    | c_Public_OpublicKey(X1,X2) != c_Public_OpublicKey(X3,X4) ),
    cls_Public_OpublicKey__inject_1,
    [final] ).

cnf(i_0_4950,axiom,
    ( X2 = X4
    | c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_ONotes(X3,X4) ),
    cls_Event_Oevent_Oinject__3_1,
    [final] ).

cnf(i_0_4951,axiom,
    ( X2 = X4
    | c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
    cls_Event_Oevent_Oinject__2_1,
    [final] ).

cnf(i_0_4952,axiom,
    ( X2 = X4
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    cls_Message_Omsg_Oinject__7_1,
    [final] ).

cnf(i_0_4953,axiom,
    ( X2 = X4
    | c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
    cls_Message_Omsg_Oinject__6_1,
    [final] ).

cnf(i_0_4954,axiom,
    ( X2 = X4
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    cls_List_Ochar_Oinject_1,
    [final] ).

cnf(i_0_4955,axiom,
    c_Nat_Osize(c_Datatype_Ooption_OSome(X1,X2),tc_Datatype_Ooption(X2)) = c_0,
    cls_Datatype_Ooption_Osize__2_0,
    [final] ).

cnf(i_0_4956,axiom,
    c_Numeral_Obin__succ(c_Numeral_OBit(X1,c_Numeral_Obit_OB1)) = c_Numeral_OBit(c_Numeral_Obin__succ(X1),c_Numeral_Obit_OB0),
    cls_Numeral_Obin__succ__1_0,
    [final] ).

cnf(i_0_4957,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_4958,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_4959,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_4960,axiom,
    ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Obin__rel__simps__2_0,
    [final] ).

cnf(i_0_4961,axiom,
    c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
    cls_Event_Oevent_Odistinct__6_0,
    [final] ).

cnf(i_0_4962,axiom,
    c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
    cls_Event_Oevent_Odistinct__5_0,
    [final] ).

cnf(i_0_4963,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X1,X2),X2) ),
    cls_Datatype_Onot__Some__eq_0,
    [final] ).

cnf(i_0_4964,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X1,X2),X2) ),
    cls_Datatype_Onot__None__eq_0,
    [final] ).

cnf(i_0_4965,axiom,
    ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X1) = c_1
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Onumeral__1__eq__1_0,
    [final] ).

cnf(i_0_4966,axiom,
    ( c_IntDef_Oof__int(c_IntDef_Oint(X2),X1) = c_NatArith_Oof__nat(X2,X1)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_Oof__int__int__eq_0,
    [final] ).

cnf(i_0_4967,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    cls_List_Orev__rev__ident_0,
    [final] ).

cnf(i_0_4968,axiom,
    c_Datatype_Othe(c_Datatype_Ooption_OSome(X1,X2),X2) = X1,
    cls_Datatype_Othe_Osimps_0,
    [final] ).

cnf(i_0_4969,axiom,
    c_Union(c_Pow(X1,X2),X2) = X1,
    cls_Set_OUnion__Pow__eq_0,
    [final] ).

cnf(i_0_4970,axiom,
    c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
    cls_List_Odistinct__remdups_0,
    [final] ).

cnf(i_0_4971,axiom,
    c_Numeral_Obin__succ(c_Numeral_OBit(X1,c_Numeral_Obit_OB0)) = c_Numeral_OBit(X1,c_Numeral_Obit_OB1),
    cls_Numeral_Obin__succ__0_0,
    [final] ).

cnf(i_0_4972,axiom,
    c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) = c_Numeral_Onumber__of(X1,tc_nat),
    cls_NatBin_Onat__number__of_0,
    [final] ).

cnf(i_0_4973,axiom,
    c_IntDef_Onat(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint)) = c_0,
    cls_IntDef_Onat__zminus__int_0,
    [final] ).

cnf(i_0_4974,axiom,
    c_List_Odistinct(c_List_Oupt(X1,X2),tc_nat),
    cls_List_Odistinct__upt_0,
    [final] ).

cnf(i_0_4975,axiom,
    c_Nat_Osize(c_Event_Oevent_ONotes(X1,X2),tc_Event_Oevent) = c_0,
    cls_Event_Oevent_Osize__3_0,
    [final] ).

cnf(i_0_4976,axiom,
    c_Nat_Osize(c_Event_Oevent_OGets(X1,X2),tc_Event_Oevent) = c_0,
    cls_Event_Oevent_Osize__2_0,
    [final] ).

cnf(i_0_4977,axiom,
    c_Nat_Osize(c_List_Ochar_OChar(X1,X2),tc_List_Ochar) = c_0,
    cls_List_Ochar_Osize_0,
    [final] ).

cnf(i_0_4978,axiom,
    ( X2 = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(X2,X1) != c_1 ),
    cls_Ring__and__Field_Oinverse__eq__1__iff_0,
    [final] ).

cnf(i_0_4979,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse(X2,X1) != c_0 ),
    cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_0,
    [final] ).

cnf(i_0_4980,axiom,
    ( X1 = c_0
    | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
    cls_IntDef_Onegative__eq__positive_0,
    [final] ).

cnf(i_0_4981,axiom,
    ( X2 = c_0
    | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X2) ),
    cls_IntDef_Onegative__eq__positive_1,
    [final] ).

cnf(i_0_4982,axiom,
    ( c_List_Oconcat(X1,X2) = c_List_Olist_ONil
    | c_Main_Oconcat__eq__Nil__conv__1(X1,X2) != c_List_Olist_ONil ),
    cls_List_Oconcat__eq__Nil__conv_2,
    [final] ).

cnf(i_0_4983,axiom,
    ( c_Inter(X1,X2) = c_UNIV
    | c_Main_OInter__UNIV__conv__1__1(X1,X2) != c_UNIV ),
    cls_Set_OInter__UNIV__conv__1_2,
    [final] ).

cnf(i_0_4984,axiom,
    ( c_Union(X1,X2) = c_emptyset
    | c_Main_OUnion__empty__conv__1(X1,X2) != c_emptyset ),
    cls_Set_OUnion__empty__conv_2,
    [final] ).

cnf(i_0_4985,axiom,
    ( c_UNIV = c_Inter(X1,X2)
    | c_Main_OInter__UNIV__conv__2__1(X1,X2) != c_UNIV ),
    cls_Set_OInter__UNIV__conv__2_2,
    [final] ).

cnf(i_0_4986,axiom,
    ( c_List_Olist_ONil = c_List_Oconcat(X1,X2)
    | c_Main_ONil__eq__concat__conv__1(X1,X2) != c_List_Olist_ONil ),
    cls_List_ONil__eq__concat__conv_2,
    [final] ).

cnf(i_0_4987,axiom,
    ( c_emptyset = c_Union(X1,X2)
    | c_Main_Oempty__Union__conv__1(X1,X2) != c_emptyset ),
    cls_Set_Oempty__Union__conv_2,
    [final] ).

cnf(i_0_4988,axiom,
    c_Finite__Set_Ocard(c_SetInterval_OlessThan(X1,tc_nat),tc_nat) = X1,
    cls_SetInterval_Ocard__lessThan_0,
    [final] ).

cnf(i_0_4989,plain,
    c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3221,c_0_2973]),
    [final] ).

cnf(i_0_4990,axiom,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    cls_List_Olength__0__conv_0,
    [final] ).

cnf(i_0_4991,axiom,
    c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) = c_1,
    cls_NatBin_Onat__numeral__1__eq__1_0,
    [final] ).

cnf(i_0_4992,plain,
    c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_3222,c_0_2973]),
    [final] ).

cnf(i_0_4993,axiom,
    ( c_uminus(c_1,X1) = c_Numeral_Onumber__of(c_Numeral_OMin,X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Obin__arith__extra__simps__3_0,
    [final] ).

cnf(i_0_4994,axiom,
    ( c_0 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_0 != c_IntDef_Oof__int(X2,X1) ),
    cls_IntDef_Oof__int__0__eq__iff_0,
    [final] ).

cnf(i_0_4995,axiom,
    ( c_0 = X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_0 != c_NatArith_Oof__nat(X2,X1) ),
    cls_NatArith_Oof__nat__0__eq__iff_0,
    [final] ).

cnf(i_0_4996,axiom,
    ( c_0 = X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_0 != c_uminus(X2,X1) ),
    cls_OrderedGroup_Oneg__0__equal__iff__equal_0,
    [final] ).

cnf(i_0_4997,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_IntDef_Oof__int(X2,X1) != c_0 ),
    cls_IntDef_Oof__int__eq__0__iff_0,
    [final] ).

cnf(i_0_4998,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_HOL_Oabs(X2,X1) != c_0 ),
    cls_OrderedGroup_Oabs__eq__0_0,
    [final] ).

cnf(i_0_4999,axiom,
    ( X2 = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_NatArith_Oof__nat(X2,X1) != c_0 ),
    cls_NatArith_Oof__nat__eq__0__iff_0,
    [final] ).

cnf(i_0_5000,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_uminus(X2,X1) != c_0 ),
    cls_OrderedGroup_Oneg__equal__0__iff__equal_0,
    [final] ).

cnf(i_0_5001,axiom,
    ( X2 = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_0 != c_HOL_Oabs(X2,X1) ),
    cls_OrderedGroup_Oabs__0__eq_0,
    [final] ).

cnf(i_0_5002,axiom,
    class_Nat_Opower(tc_fun(X1,X2)),
    clsarity_fun_1,
    [final] ).

cnf(i_0_5003,axiom,
    ~ c_IntDef_Oneg(c_IntDef_Oint(X1),tc_IntDef_Oint),
    cls_IntDef_Onot__neg__int_0,
    [final] ).

cnf(i_0_5004,axiom,
    c_Public_OpublicKey(X1,X2) != c_Public_OshrK(X3),
    cls_Public_OshrK__neq__pubK_0,
    [final] ).

cnf(i_0_5005,axiom,
    c_Public_OshrK(X1) != c_Public_OpublicKey(X2,X3),
    cls_Public_OpubK__neq__shrK_0,
    [final] ).

cnf(i_0_5006,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_1,X1) ),
    cls_Numeral_Obin__rel__simps__9_0,
    [final] ).

cnf(i_0_5007,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_IntDef_Oneg(c_0,X1) ),
    cls_Numeral_Obin__rel__simps__8_0,
    [final] ).

cnf(i_0_5008,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ c_IntDef_Oiszero(c_1,X1) ),
    cls_Numeral_Obin__rel__simps__10_0,
    [final] ).

cnf(i_0_5009,axiom,
    ( c_HOL_Oinverse(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Oinverse__eq__1__iff_1,
    [final] ).

cnf(i_0_5010,axiom,
    ( c_HOL_Oinverse(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_Ring__and__Field_Oinverse__nonzero__iff__nonzero_1,
    [final] ).

cnf(i_0_5011,plain,
    c_Numeral_Obin__add(c_Numeral_OMin,X1) = c_Numeral_Obin__add(X1,c_Numeral_OMin),
    inference(rw,[status(thm)],[i_0_3223,c_0_3199]),
    [final] ).

cnf(i_0_5012,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | c_Datatype_Oo2s(X1,X2) != c_emptyset ),
    cls_Datatype_Oo2s__empty__eq_0,
    [final] ).

cnf(i_0_5013,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil ),
    cls_List_Orotate1__is__Nil__conv_0,
    [final] ).

cnf(i_0_5014,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    cls_List_Orev__is__Nil__conv_0,
    [final] ).

cnf(i_0_5015,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    cls_List_Oset__empty_0,
    [final] ).

cnf(i_0_5016,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil ),
    cls_List_Oremdups__eq__nil__iff_0,
    [final] ).

cnf(i_0_5017,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Orev(X1,X2) ),
    cls_List_ONil__is__rev__conv_0,
    [final] ).

cnf(i_0_5018,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Oremdups(X1,X2) ),
    cls_List_Oremdups__eq__nil__right__iff_0,
    [final] ).

cnf(i_0_5019,axiom,
    ( X1 = c_List_Olist_ONil
    | c_emptyset != c_List_Oset(X1,X2) ),
    cls_List_Oset__empty2_0,
    [final] ).

cnf(i_0_5020,axiom,
    c_HOL_Oabs(c_IntDef_Oint(X1),tc_IntDef_Oint) = c_IntDef_Oint(X1),
    cls_IntDef_Oabs__int__eq_0,
    [final] ).

cnf(i_0_5021,axiom,
    c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_ONone,
    cls_Datatype_Ooption_Odistinct__2_0,
    [final] ).

cnf(i_0_5022,axiom,
    c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
    cls_Datatype_Ooption_Odistinct__1_0,
    [final] ).

cnf(i_0_5023,plain,
    c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    inference(rw,[status(thm)],[i_0_3224,c_0_3021]),
    [final] ).

cnf(i_0_5024,plain,
    c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
    inference(rw,[status(thm)],[i_0_3225,c_0_3199]),
    [final] ).

cnf(i_0_5025,axiom,
    ( c_OrderedGroup_Opprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    cls_OrderedGroup_Opprt__0_0,
    [final] ).

cnf(i_0_5026,axiom,
    ( c_OrderedGroup_Onprt(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    cls_OrderedGroup_Onprt__0_0,
    [final] ).

cnf(i_0_5027,axiom,
    ( c_IntDef_Oof__int(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    cls_IntDef_Oof__int__1_0,
    [final] ).

cnf(i_0_5028,axiom,
    ( c_IntDef_Oof__int(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_IntDef_Oof__int__eq__0__iff_1,
    [final] ).

cnf(i_0_5029,axiom,
    ( c_HOL_Oabs(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_Ring__and__Field_Oabs__one_0,
    [final] ).

cnf(i_0_5030,axiom,
    ( c_HOL_Oabs(c_0,X1) = c_0
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__eq__0_1,
    [final] ).

cnf(i_0_5031,axiom,
    ( c_Numeral_Onumber__of(c_Numeral_OPls,X1) = c_0
    | ~ class_Numeral_Onumber__ring(X1) ),
    cls_Numeral_Onumeral__0__eq__0_0,
    [final] ).

cnf(i_0_5032,axiom,
    ( c_NatArith_Oof__nat(c_1,X1) = c_1
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
    cls_NatArith_Oof__nat__1_0,
    [final] ).

cnf(i_0_5033,axiom,
    ( c_NatArith_Oof__nat(c_0,X1) = c_0
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_NatArith_Oof__nat__eq__0__iff_1,
    [final] ).

cnf(i_0_5034,axiom,
    ( c_uminus(c_0,X1) = c_0
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Oneg__equal__0__iff__equal_1,
    [final] ).

cnf(i_0_5035,axiom,
    ( c_0 = c_IntDef_Oof__int(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_IntDef_Oof__int__0__eq__iff_1,
    [final] ).

cnf(i_0_5036,axiom,
    ( c_0 = c_HOL_Oabs(c_0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    cls_OrderedGroup_Oabs__0__eq_1,
    [final] ).

cnf(i_0_5037,axiom,
    ( c_0 = c_NatArith_Oof__nat(c_0,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_NatArith_Oof__nat__0__eq__iff_1,
    [final] ).

cnf(i_0_5038,axiom,
    ( c_0 = c_uminus(c_0,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_OrderedGroup_Oneg__0__equal__iff__equal_1,
    [final] ).

cnf(i_0_5039,axiom,
    c_Nat_Osize(c_Message_Omsg_ONumber(X1),tc_Message_Omsg) = c_0,
    cls_Message_Omsg_Osize__2_0,
    [final] ).

cnf(i_0_5040,axiom,
    c_Nat_Osize(c_Message_Omsg_ONonce(X1),tc_Message_Omsg) = c_0,
    cls_Message_Omsg_Osize__3_0,
    [final] ).

cnf(i_0_5041,axiom,
    c_Nat_Osize(c_Message_Omsg_OKey(X1),tc_Message_Omsg) = c_0,
    cls_Message_Omsg_Osize__4_0,
    [final] ).

cnf(i_0_5042,axiom,
    c_Nat_Osize(c_Message_Omsg_OAgent(X1),tc_Message_Omsg) = c_0,
    cls_Message_Omsg_Osize__1_0,
    [final] ).

cnf(i_0_5043,axiom,
    c_Nat_Osize(c_Message_Oagent_OFriend(X1),tc_Message_Oagent) = c_0,
    cls_Message_Oagent_Osize__2_0,
    [final] ).

cnf(i_0_5044,axiom,
    c_Nat_Osize(c_Datatype_Ooption_ONone,tc_Datatype_Ooption(X1)) = c_0,
    cls_Datatype_Ooption_Osize__1_0,
    [final] ).

cnf(i_0_5045,axiom,
    c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_0,
    cls_List_Olength__0__conv_1,
    [final] ).

cnf(i_0_5046,axiom,
    c_uminus(c_UNIV,tc_set(X1)) = c_emptyset,
    cls_Set_OCompl__UNIV__eq_0,
    [final] ).

cnf(i_0_5047,axiom,
    c_uminus(c_emptyset,tc_set(X1)) = c_UNIV,
    cls_Set_OCompl__empty__eq_0,
    [final] ).

cnf(i_0_5048,axiom,
    c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) = c_IntDef_Oint(c_0),
    cls_IntDef_Onegative__eq__positive_2,
    [final] ).

cnf(i_0_5049,axiom,
    ~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
    cls_Parity_Oodd__one_0,
    [final] ).

cnf(i_0_5050,axiom,
    ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_Datatype__Ooption_0,
    [final] ).

cnf(i_0_5051,axiom,
    ( class_Finite__Set_Ofinite(tc_set(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_set_3,
    [final] ).

cnf(i_0_5052,axiom,
    ( X1 = X2
    | c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
    cls_Public_OshrK__injective_0,
    [final] ).

cnf(i_0_5053,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONumber(X1) != c_Message_Omsg_ONumber(X2) ),
    cls_Message_Omsg_Oinject__2_0,
    [final] ).

cnf(i_0_5054,axiom,
    ( X1 = X2
    | c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
    cls_Message_Omsg_Oinject__3_0,
    [final] ).

cnf(i_0_5055,axiom,
    ( X1 = X2
    | c_Message_Omsg_OKey(X1) != c_Message_Omsg_OKey(X2) ),
    cls_Message_Omsg_Oinject__4_0,
    [final] ).

cnf(i_0_5056,axiom,
    ( X1 = X2
    | c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
    cls_Message_Omsg_Oinject__5_0,
    [final] ).

cnf(i_0_5057,axiom,
    ( X1 = X2
    | c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
    cls_Message_Omsg_Oinject__1_0,
    [final] ).

cnf(i_0_5058,axiom,
    ( X1 = X2
    | c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
    cls_Message_OinvKey__eq_0,
    [final] ).

cnf(i_0_5059,axiom,
    ( X1 = X2
    | c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
    cls_Message_Oagent_Oinject_0,
    [final] ).

cnf(i_0_5060,axiom,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    cls_IntDef_Oint__int__eq_0,
    [final] ).

cnf(i_0_5061,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    cls_Message_Oanalz__idem_0,
    [final] ).

cnf(i_0_5062,axiom,
    c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    cls_Message_Oanalz__parts_0,
    [final] ).

cnf(i_0_5063,axiom,
    c_Message_OinvKey(c_Public_OshrK(X1)) = c_Public_OshrK(X1),
    cls_Public_OinvKey__shrK_0,
    [final] ).

cnf(i_0_5064,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    cls_Message_Oparts__analz_0,
    [final] ).

cnf(i_0_5065,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    cls_Message_Oparts__idem_0,
    [final] ).

cnf(i_0_5066,axiom,
    c_Binomial_Obinomial(X1,X1) = c_1,
    cls_Binomial_Obinomial__n__n_0,
    [final] ).

cnf(i_0_5067,axiom,
    c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),
    cls_Numeral_Obin__succ__Pls_0,
    [final] ).

cnf(i_0_5068,axiom,
    c_Numeral_Obin__add(c_Numeral_OPls,X1) = X1,
    cls_Numeral_Obin__add__Pls_0,
    [final] ).

cnf(i_0_5069,axiom,
    c_Numeral_Obin__add(X1,c_Numeral_OPls) = X1,
    cls_Numeral_Obin__add__Pls__right_0,
    [final] ).

cnf(i_0_5070,axiom,
    c_NatArith_Oof__nat(X1,tc_nat) = X1,
    cls_Finite__Set_Oof__nat__id_0,
    [final] ).

cnf(i_0_5071,axiom,
    c_List_Onull(c_List_Olist_ONil,X1),
    cls_List_Onull_Osimps__1_0,
    [final] ).

cnf(i_0_5072,axiom,
    c_Wellfounded__Recursion_Owf(c_emptyset,X1),
    cls_Wellfounded__Recursion_Owf__empty_0,
    [final] ).

cnf(i_0_5073,axiom,
    c_List_Odistinct(c_List_Olist_ONil,X1),
    cls_List_Odistinct_Osimps__1_0,
    [final] ).

cnf(i_0_5074,axiom,
    c_Numeral_Obin__mult(c_Numeral_OPls,X1) = c_Numeral_OPls,
    cls_Numeral_Obin__mult__Pls_0,
    [final] ).

cnf(i_0_5075,axiom,
    c_List_Otl(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Otl_Osimps__1_0,
    [final] ).

cnf(i_0_5076,axiom,
    c_List_Orotate1(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Orotate1__is__Nil__conv_1,
    [final] ).

cnf(i_0_5077,axiom,
    c_List_Obutlast(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Obutlast_Osimps__1_0,
    [final] ).

cnf(i_0_5078,axiom,
    c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Orev__is__Nil__conv_1,
    [final] ).

cnf(i_0_5079,axiom,
    c_List_Oconcat(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Oconcat_Osimps__1_0,
    [final] ).

cnf(i_0_5080,axiom,
    c_Pow(c_UNIV,X1) = c_UNIV,
    cls_Set_OPow__UNIV_0,
    [final] ).

cnf(i_0_5081,axiom,
    c_Finite__Set_Ocard(c_emptyset,X1) = c_0,
    cls_Finite__Set_Ocard__empty_0,
    [final] ).

cnf(i_0_5082,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_ONone,X1) = c_emptyset,
    cls_Datatype_Oo2s__empty__eq_1,
    [final] ).

cnf(i_0_5083,axiom,
    c_Transitive__Closure_Otrancl(c_emptyset,X1) = c_emptyset,
    cls_Transitive__Closure_Otrancl__empty_0,
    [final] ).

cnf(i_0_5084,axiom,
    c_Inter(c_UNIV,X1) = c_emptyset,
    cls_Set_OInter__UNIV_0,
    [final] ).

cnf(i_0_5085,axiom,
    c_Inter(c_emptyset,X1) = c_UNIV,
    cls_Set_OInter__empty_0,
    [final] ).

cnf(i_0_5086,axiom,
    c_Relation_Odiag(c_emptyset,X1) = c_emptyset,
    cls_Relation_Odiag__empty_0,
    [final] ).

cnf(i_0_5087,axiom,
    c_List_Olists(c_UNIV,X1) = c_UNIV,
    cls_List_Olists__UNIV_0,
    [final] ).

cnf(i_0_5088,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    cls_List_Oset__empty_1,
    [final] ).

cnf(i_0_5089,axiom,
    c_List_Oremdups(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Oremdups__eq__nil__iff_1,
    [final] ).

cnf(i_0_5090,axiom,
    c_Union(c_UNIV,X1) = c_UNIV,
    cls_Set_OUnion__UNIV_0,
    [final] ).

cnf(i_0_5091,axiom,
    c_Union(c_emptyset,X1) = c_emptyset,
    cls_Set_OUnion__empty_0,
    [final] ).

cnf(i_0_5092,axiom,
    c_List_Oupt(X1,c_0) = c_List_Olist_ONil,
    cls_List_Oupt__eq__Nil__conv_1,
    [final] ).

cnf(i_0_5093,axiom,
    c_Binomial_Obinomial(X1,c_0) = c_1,
    cls_Binomial_Obinomial__n__0_0,
    [final] ).

cnf(i_0_5094,axiom,
    c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
    cls_List_ONil__is__rev__conv_1,
    [final] ).

cnf(i_0_5095,axiom,
    c_List_Olist_ONil = c_List_Oremdups(c_List_Olist_ONil,X1),
    cls_List_Oremdups__eq__nil__right__iff_1,
    [final] ).

cnf(i_0_5096,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
    cls_List_Oset__empty2_1,
    [final] ).

cnf(i_0_5097,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_5098,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_1,
    [final] ).

cnf(i_0_5099,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_30,
    [final] ).

cnf(i_0_5100,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_5101,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_5102,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_5103,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_17,
    [final] ).

cnf(i_0_5104,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_9,
    [final] ).

cnf(i_0_5105,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_5,
    [final] ).

cnf(i_0_5106,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_5107,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_17,
    [final] ).

cnf(i_0_5108,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_5109,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_5110,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_5111,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_5112,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_5113,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_5114,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_5115,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_1,
    [final] ).

cnf(i_0_5116,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_5117,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_5118,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_5119,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_5120,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_5121,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_24,
    [final] ).

cnf(i_0_5122,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_21,
    [final] ).

cnf(i_0_5123,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__mult_0,
    [final] ).

cnf(i_0_5124,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_8,
    [final] ).

cnf(i_0_5125,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_4,
    [final] ).

cnf(i_0_5126,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_21,
    [final] ).

cnf(i_0_5127,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_21,
    [final] ).

cnf(i_0_5128,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_15,
    [final] ).

cnf(i_0_5129,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_5130,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_15,
    [final] ).

cnf(i_0_5131,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_8,
    [final] ).

cnf(i_0_5132,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_5133,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_5134,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_5135,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_5136,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_5137,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_2,
    [final] ).

cnf(i_0_5138,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_5139,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_5140,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_8,
    [final] ).

cnf(i_0_5141,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_5142,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_5143,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_5,
    [final] ).

cnf(i_0_5144,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_2,
    [final] ).

cnf(i_0_5145,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_1,
    [final] ).

cnf(i_0_5146,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_5,
    [final] ).

cnf(i_0_5147,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_5148,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_4,
    [final] ).

cnf(i_0_5149,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_5150,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_5151,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_4,
    [final] ).

cnf(i_0_5152,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_4,
    [final] ).

cnf(i_0_5153,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_3,
    [final] ).

cnf(i_0_5154,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_5155,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_5156,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_26,
    [final] ).

cnf(i_0_5157,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_6,
    [final] ).

cnf(i_0_5158,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_2,
    [final] ).

cnf(i_0_5159,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_5160,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_26,
    [final] ).

cnf(i_0_5161,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_5162,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_5163,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_5164,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_5165,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_5166,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_5167,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_5168,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_11,
    [final] ).

cnf(i_0_5169,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_5170,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_5171,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_5172,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_5173,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_5174,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_5175,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_5176,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_5177,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_5178,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_5179,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_5180,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_5181,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_5182,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_5183,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_5184,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_5185,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_5186,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_5187,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_5188,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_1,
    [final] ).

cnf(i_0_5189,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_5190,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_3,
    [final] ).

cnf(i_0_5191,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_5192,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_5193,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_5194,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_1,
    [final] ).

cnf(i_0_5195,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_5196,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_0,
    [final] ).

cnf(i_0_5197,axiom,
    ( class_Nat_Opower(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_0,
    [final] ).

cnf(i_0_5198,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_5199,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_29,
    [final] ).

cnf(i_0_5200,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_28,
    [final] ).

cnf(i_0_5201,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__add_0,
    [final] ).

cnf(i_0_5202,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_5,
    [final] ).

cnf(i_0_5203,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_1,
    [final] ).

cnf(i_0_5204,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_28,
    [final] ).

cnf(i_0_5205,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_28,
    [final] ).

cnf(i_0_5206,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_22,
    [final] ).

cnf(i_0_5207,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_5208,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_22,
    [final] ).

cnf(i_0_5209,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_13,
    [final] ).

cnf(i_0_5210,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_13,
    [final] ).

cnf(i_0_5211,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_12,
    [final] ).

cnf(i_0_5212,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_12,
    [final] ).

cnf(i_0_5213,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_13,
    [final] ).

cnf(i_0_5214,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_7,
    [final] ).

cnf(i_0_5215,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_5216,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_5217,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_5218,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_5219,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_5220,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_6,
    [final] ).

cnf(i_0_5221,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_5222,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_5223,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_5224,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_3,
    [final] ).

cnf(i_0_5225,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_5226,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_5227,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_12,
    [final] ).

cnf(i_0_5228,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_5229,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_5230,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_9,
    [final] ).

cnf(i_0_5231,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_9,
    [final] ).

cnf(i_0_5232,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_5233,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_2,
    [final] ).

cnf(i_0_5234,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_5235,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_4,
    [final] ).

cnf(i_0_5236,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1,
    [final] ).

cnf(i_0_5237,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__semigroup__add_0,
    [final] ).

cnf(i_0_5238,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_5239,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_2,
    [final] ).

cnf(i_0_5240,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_2,
    [final] ).

cnf(i_0_5241,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_1,
    [final] ).

cnf(i_0_5242,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_1,
    [final] ).

cnf(i_0_5243,axiom,
    ( class_Numeral_Onumber(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_30,
    [final] ).

cnf(i_0_5244,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_5245,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_5246,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_31,
    [final] ).

cnf(i_0_5247,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_5248,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_5249,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_5250,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_5251,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_5252,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_5253,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_5254,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_5255,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_5256,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_5257,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_5258,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_5259,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_5260,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_5261,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_5262,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_5263,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_5264,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_5265,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_5266,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_5267,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_5268,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_5269,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_5270,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_5271,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_5272,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_5273,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_59,
    [final] ).

cnf(i_0_5274,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_0,
    [final] ).

cnf(i_0_5275,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_45,
    [final] ).

cnf(i_0_5276,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_39,
    [final] ).

cnf(i_0_5277,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_5278,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_11,
    [final] ).

cnf(i_0_5279,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_9,
    [final] ).

cnf(i_0_5280,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_9,
    [final] ).

cnf(i_0_5281,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_18,
    [final] ).

cnf(i_0_5282,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_18,
    [final] ).

cnf(i_0_5283,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_9,
    [final] ).

cnf(i_0_5284,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_11,
    [final] ).

cnf(i_0_5285,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_5286,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_5287,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_5288,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_5289,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_5290,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_5291,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_11,
    [final] ).

cnf(i_0_5292,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_5293,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_5294,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_5295,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_1,
    [final] ).

cnf(i_0_5296,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_3,
    [final] ).

cnf(i_0_5297,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_1,
    [final] ).

cnf(i_0_5298,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    clsrel_LOrder_Ojoin__semilorder_0,
    [final] ).

cnf(i_0_5299,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    clsrel_LOrder_Omeet__semilorder_0,
    [final] ).

cnf(i_0_5300,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    clsrel_Orderings_Oorder_0,
    [final] ).

cnf(i_0_5301,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_5302,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_5303,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_5304,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_5305,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_5306,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_5307,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_5308,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_5309,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_5310,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_5311,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_5312,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_5313,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_5314,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_5315,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_5316,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_5317,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_5318,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_5319,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_5320,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_0,
    [final] ).

cnf(i_0_5321,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_5322,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_5323,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_5324,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_5325,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_5326,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_5327,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_5328,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_5329,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_5330,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_5331,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_5332,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_5333,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_5334,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_5335,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_5336,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_5337,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_5338,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_5339,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_5340,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_5341,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_5342,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_5343,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_5344,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_5345,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_5346,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_5347,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_5348,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_5349,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_5350,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_5351,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_5352,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_5353,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_5354,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_5355,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_5356,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_5357,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_5358,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_5359,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_5360,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_5361,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_5362,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_5363,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_5364,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_32,
    [final] ).

cnf(i_0_5365,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_24,
    [final] ).

cnf(i_0_5366,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_5367,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_1,
    [final] ).

cnf(i_0_5368,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_8,
    [final] ).

cnf(i_0_5369,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_24,
    [final] ).

cnf(i_0_5370,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_24,
    [final] ).

cnf(i_0_5371,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_18,
    [final] ).

cnf(i_0_5372,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_5373,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_5374,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_18,
    [final] ).

cnf(i_0_5375,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_4,
    [final] ).

cnf(i_0_5376,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_4,
    [final] ).

cnf(i_0_5377,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_5,
    [final] ).

cnf(i_0_5378,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_14,
    [final] ).

cnf(i_0_5379,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_4,
    [final] ).

cnf(i_0_5380,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_3,
    [final] ).

cnf(i_0_5381,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_5382,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_5383,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_5384,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_5385,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_5386,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_5387,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_8,
    [final] ).

cnf(i_0_5388,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_5389,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_5390,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_14,
    [final] ).

cnf(i_0_5391,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_5392,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_5393,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_1,
    [final] ).

cnf(i_0_5394,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_5395,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_11,
    [final] ).

cnf(i_0_5396,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_5397,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_9,
    [final] ).

cnf(i_0_5398,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_5399,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_2,
    [final] ).

cnf(i_0_5400,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_5401,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_7,
    [final] ).

cnf(i_0_5402,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_0,
    [final] ).

cnf(i_0_5403,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_5404,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_5405,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_5406,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_5407,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_5408,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_5409,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_5410,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_5411,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_5412,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_5413,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_5414,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_5415,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_5416,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_5417,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_5418,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_5419,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_5420,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_5421,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_5422,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_5423,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_5424,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_5425,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_5426,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_5427,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_5428,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_5429,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_5430,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_5431,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_5432,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_5433,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_5434,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_5435,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_5436,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_5437,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_5438,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_5439,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_5440,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_5441,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_5442,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_5443,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_5444,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_5445,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_5446,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_5447,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_5448,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_7,
    [final] ).

cnf(i_0_5449,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_5450,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_5451,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_5452,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_5453,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_5454,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_5455,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_5456,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_5457,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_5458,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_5459,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_41,
    [final] ).

cnf(i_0_5460,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_5,
    [final] ).

cnf(i_0_5461,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_33,
    [final] ).

cnf(i_0_5462,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_27,
    [final] ).

cnf(i_0_5463,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_5464,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_5465,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_5466,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_5467,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_51,
    [final] ).

cnf(i_0_5468,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_4,
    [final] ).

cnf(i_0_5469,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_34,
    [final] ).

cnf(i_0_5470,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_28,
    [final] ).

cnf(i_0_5471,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_5472,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_26,
    [final] ).

cnf(i_0_5473,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_17,
    [final] ).

cnf(i_0_5474,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_17,
    [final] ).

cnf(i_0_5475,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_14,
    [final] ).

cnf(i_0_5476,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_15,
    [final] ).

cnf(i_0_5477,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_5478,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_5479,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_5480,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_0,
    [final] ).

cnf(i_0_5481,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_52,
    [final] ).

cnf(i_0_5482,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_3,
    [final] ).

cnf(i_0_5483,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_35,
    [final] ).

cnf(i_0_5484,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_29,
    [final] ).

cnf(i_0_5485,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_5486,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_27,
    [final] ).

cnf(i_0_5487,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_15,
    [final] ).

cnf(i_0_5488,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_18,
    [final] ).

cnf(i_0_5489,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_15,
    [final] ).

cnf(i_0_5490,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_16,
    [final] ).

cnf(i_0_5491,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_5492,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_5493,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_5494,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_1,
    [final] ).

cnf(i_0_5495,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_3,
    [final] ).

cnf(i_0_5496,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_53,
    [final] ).

cnf(i_0_5497,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_2,
    [final] ).

cnf(i_0_5498,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_36,
    [final] ).

cnf(i_0_5499,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_30,
    [final] ).

cnf(i_0_5500,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_5501,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_28,
    [final] ).

cnf(i_0_5502,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_18,
    [final] ).

cnf(i_0_5503,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_15,
    [final] ).

cnf(i_0_5504,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_16,
    [final] ).

cnf(i_0_5505,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_17,
    [final] ).

cnf(i_0_5506,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_5507,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_5508,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_5509,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_2,
    [final] ).

cnf(i_0_5510,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_0,
    [final] ).

cnf(i_0_5511,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_5512,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_5513,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_29,
    [final] ).

cnf(i_0_5514,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_5515,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_5516,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_5517,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_33,
    [final] ).

cnf(i_0_5518,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_22,
    [final] ).

cnf(i_0_5519,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__mult_1,
    [final] ).

cnf(i_0_5520,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    clsrel_OrderedGroup_Osemigroup__mult_0,
    [final] ).

cnf(i_0_5521,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_7,
    [final] ).

cnf(i_0_5522,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_3,
    [final] ).

cnf(i_0_5523,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_22,
    [final] ).

cnf(i_0_5524,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_22,
    [final] ).

cnf(i_0_5525,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_16,
    [final] ).

cnf(i_0_5526,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_5527,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_5528,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_16,
    [final] ).

cnf(i_0_5529,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_9,
    [final] ).

cnf(i_0_5530,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_5531,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_5532,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_5533,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_5534,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_5535,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_3,
    [final] ).

cnf(i_0_5536,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_5537,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_5538,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_9,
    [final] ).

cnf(i_0_5539,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_5540,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_5541,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_6,
    [final] ).

cnf(i_0_5542,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_3,
    [final] ).

cnf(i_0_5543,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_2,
    [final] ).

cnf(i_0_5544,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_6,
    [final] ).

cnf(i_0_5545,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_5546,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_5,
    [final] ).

cnf(i_0_5547,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_5548,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_5549,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_5,
    [final] ).

cnf(i_0_5550,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_5,
    [final] ).

cnf(i_0_5551,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_4,
    [final] ).

cnf(i_0_5552,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_5553,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_5554,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_24,
    [final] ).

cnf(i_0_5555,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_28,
    [final] ).

cnf(i_0_5556,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_5557,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_5558,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_5559,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_5560,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_5561,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_2,
    [final] ).

cnf(i_0_5562,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_27,
    [final] ).

cnf(i_0_5563,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_5564,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_2,
    [final] ).

cnf(i_0_5565,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_5566,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_5567,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_5568,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_22,
    [final] ).

cnf(i_0_5569,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_26,
    [final] ).

cnf(i_0_5570,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_5571,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_5572,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_5573,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_5574,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_5575,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_5576,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_5577,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_5578,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_18,
    [final] ).

cnf(i_0_5579,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_25,
    [final] ).

cnf(i_0_5580,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_5581,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_5582,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_5583,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_5584,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_5585,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_5586,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_10,
    [final] ).

cnf(i_0_5587,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_17,
    [final] ).

cnf(i_0_5588,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_24,
    [final] ).

cnf(i_0_5589,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_5590,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_10,
    [final] ).

cnf(i_0_5591,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_5592,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_5593,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_5594,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_5595,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_5596,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_5597,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_5598,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_8,
    [final] ).

cnf(i_0_5599,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_16,
    [final] ).

cnf(i_0_5600,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_23,
    [final] ).

cnf(i_0_5601,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_5602,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_8,
    [final] ).

cnf(i_0_5603,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_5604,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_5605,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_5606,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_5607,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_15,
    [final] ).

cnf(i_0_5608,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_12,
    [final] ).

cnf(i_0_5609,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_15,
    [final] ).

cnf(i_0_5610,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_22,
    [final] ).

cnf(i_0_5611,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_12,
    [final] ).

cnf(i_0_5612,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_12,
    [final] ).

cnf(i_0_5613,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_6,
    [final] ).

cnf(i_0_5614,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_5615,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_5616,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_17,
    [final] ).

cnf(i_0_5617,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_5618,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_5619,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_11,
    [final] ).

cnf(i_0_5620,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_4,
    [final] ).

cnf(i_0_5621,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_5622,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_5623,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_3,
    [final] ).

cnf(i_0_5624,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_21,
    [final] ).

cnf(i_0_5625,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_5626,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_5627,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_5628,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_5629,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_5630,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_5631,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_5632,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_5633,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_5634,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_5635,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_5636,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_1,
    [final] ).

cnf(i_0_5637,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_19,
    [final] ).

cnf(i_0_5638,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_5639,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_1,
    [final] ).

cnf(i_0_5640,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_5641,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_5642,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_5643,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_5644,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_23,
    [final] ).

cnf(i_0_5645,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_18,
    [final] ).

cnf(i_0_5646,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_5647,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_5648,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_5649,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_5650,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_5651,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_5652,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_5653,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_30,
    [final] ).

cnf(i_0_5654,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_29,
    [final] ).

cnf(i_0_5655,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__add_1,
    [final] ).

cnf(i_0_5656,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_4,
    [final] ).

cnf(i_0_5657,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_0,
    [final] ).

cnf(i_0_5658,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    clsrel_OrderedGroup_Osemigroup__add_0,
    [final] ).

cnf(i_0_5659,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_29,
    [final] ).

cnf(i_0_5660,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_29,
    [final] ).

cnf(i_0_5661,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_23,
    [final] ).

cnf(i_0_5662,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_5663,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_23,
    [final] ).

cnf(i_0_5664,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_14,
    [final] ).

cnf(i_0_5665,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_14,
    [final] ).

cnf(i_0_5666,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_13,
    [final] ).

cnf(i_0_5667,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_13,
    [final] ).

cnf(i_0_5668,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_14,
    [final] ).

cnf(i_0_5669,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_8,
    [final] ).

cnf(i_0_5670,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_5671,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_5672,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_5673,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_5674,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_5675,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_7,
    [final] ).

cnf(i_0_5676,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_5677,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_5678,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_5679,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_4,
    [final] ).

cnf(i_0_5680,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_5681,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_5682,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_13,
    [final] ).

cnf(i_0_5683,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_5684,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_5685,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_10,
    [final] ).

cnf(i_0_5686,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_10,
    [final] ).

cnf(i_0_5687,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_5688,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_3,
    [final] ).

cnf(i_0_5689,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_5690,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_5,
    [final] ).

cnf(i_0_5691,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2,
    [final] ).

cnf(i_0_5692,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__semigroup__add_1,
    [final] ).

cnf(i_0_5693,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_5694,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_3,
    [final] ).

cnf(i_0_5695,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_3,
    [final] ).

cnf(i_0_5696,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_2,
    [final] ).

cnf(i_0_5697,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_2,
    [final] ).

cnf(i_0_5698,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_5699,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_5700,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_3,
    [final] ).

cnf(i_0_5701,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_17,
    [final] ).

cnf(i_0_5702,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_5703,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_3,
    [final] ).

cnf(i_0_5704,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_5705,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_5706,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_5707,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_5708,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_5709,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_5710,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_5711,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_5712,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_5713,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_21,
    [final] ).

cnf(i_0_5714,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_16,
    [final] ).

cnf(i_0_5715,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_5716,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_5717,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_5718,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_5719,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_5720,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_5721,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_5722,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_5723,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_5724,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_5725,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_5726,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_5727,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_5728,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_5729,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_5730,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_5731,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_5732,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_5733,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_5734,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_4,
    [final] ).

cnf(i_0_5735,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_15,
    [final] ).

cnf(i_0_5736,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_5737,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_4,
    [final] ).

cnf(i_0_5738,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_5739,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_5740,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_5741,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_5742,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_5743,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_5744,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_1,
    [final] ).

cnf(i_0_5745,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_5746,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_5747,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_5748,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_5749,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_6,
    [final] ).

cnf(i_0_5750,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_5751,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_5752,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_25,
    [final] ).

cnf(i_0_5753,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_20,
    [final] ).

cnf(i_0_5754,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_14,
    [final] ).

cnf(i_0_5755,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_5756,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_25,
    [final] ).

cnf(i_0_5757,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_5758,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_5759,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_5760,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_5761,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_5762,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_5763,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_5764,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_10,
    [final] ).

cnf(i_0_5765,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_5766,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_5767,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_5768,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_5769,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_5770,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_5771,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_5772,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_5773,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_5774,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_5775,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_5776,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_5777,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_5778,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_5779,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_10,
    [final] ).

cnf(i_0_5780,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_5781,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_6,
    [final] ).

cnf(i_0_5782,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_5783,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_5784,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_27,
    [final] ).

cnf(i_0_5785,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_19,
    [final] ).

cnf(i_0_5786,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_13,
    [final] ).

cnf(i_0_5787,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_5788,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_27,
    [final] ).

cnf(i_0_5789,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_5790,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_5791,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_5792,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_5793,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_5794,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_5795,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_5796,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_12,
    [final] ).

cnf(i_0_5797,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_5798,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_5799,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_5800,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_5801,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_5802,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_5803,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_5804,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_5805,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_5806,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_5807,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_5808,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_5809,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_5810,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_5811,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_11,
    [final] ).

cnf(i_0_5812,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_5813,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_7,
    [final] ).

cnf(i_0_5814,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_5815,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_5816,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_5817,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_5818,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_14,
    [final] ).

cnf(i_0_5819,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_11,
    [final] ).

cnf(i_0_5820,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_5821,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_5822,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_5823,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_5824,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_5825,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_5826,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_5827,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_5828,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_5829,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_5830,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_5831,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_5832,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_5833,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_19,
    [final] ).

cnf(i_0_5834,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_13,
    [final] ).

cnf(i_0_5835,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_10,
    [final] ).

cnf(i_0_5836,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_5837,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_19,
    [final] ).

cnf(i_0_5838,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_5839,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_5840,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_5841,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_5842,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_5843,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_5844,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_5845,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_5846,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_5847,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_5848,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_5849,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_5850,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_5851,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_5852,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_5853,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_5854,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_5855,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_5856,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_13,
    [final] ).

cnf(i_0_5857,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_5858,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_5859,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_5860,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_5861,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_23,
    [final] ).

cnf(i_0_5862,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_12,
    [final] ).

cnf(i_0_5863,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_9,
    [final] ).

cnf(i_0_5864,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_5865,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_23,
    [final] ).

cnf(i_0_5866,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_5867,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_5868,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_5869,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_5870,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_5871,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_5872,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_5873,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_3,
    [final] ).

cnf(i_0_5874,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_5875,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_5876,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_5877,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_5878,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_5879,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_5880,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_5881,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_5882,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_5883,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_5884,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_5885,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_5886,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_5887,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_5888,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_5889,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_8,
    [final] ).

cnf(i_0_5890,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_5891,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_1,
    [final] ).

cnf(i_0_5892,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_5893,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_5894,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_5895,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_5896,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_16,
    [final] ).

cnf(i_0_5897,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_11,
    [final] ).

cnf(i_0_5898,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_7,
    [final] ).

cnf(i_0_5899,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_5900,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_16,
    [final] ).

cnf(i_0_5901,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_5902,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_5903,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_5904,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_5905,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_5906,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_5907,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_5908,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_5909,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_5910,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_5911,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_5912,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_5913,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_20,
    [final] ).

cnf(i_0_5914,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_10,
    [final] ).

cnf(i_0_5915,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_6,
    [final] ).

cnf(i_0_5916,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_5917,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_20,
    [final] ).

cnf(i_0_5918,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_5919,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_5920,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_5921,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_5922,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_5923,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_5924,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_5925,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_5926,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_5927,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_5928,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_5929,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_5930,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_5931,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_5932,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_5933,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_5934,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_5935,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_5936,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_0,
    [final] ).

cnf(i_0_5937,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_5938,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_5939,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_5940,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_5941,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_16,
    [final] ).

cnf(i_0_5942,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_13,
    [final] ).

cnf(i_0_5943,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_2,
    [final] ).

cnf(i_0_5944,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_20,
    [final] ).

cnf(i_0_5945,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_13,
    [final] ).

cnf(i_0_5946,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_13,
    [final] ).

cnf(i_0_5947,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_7,
    [final] ).

cnf(i_0_5948,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_5949,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_5950,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_18,
    [final] ).

cnf(i_0_5951,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_5952,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_5953,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_2,
    [final] ).

cnf(i_0_5954,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_0,
    [final] ).

cnf(i_0_5955,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_0,
    [final] ).

cnf(i_0_5956,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_5957,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_5958,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_8,
    [final] ).

cnf(i_0_5959,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_5,
    [final] ).

cnf(i_0_5960,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_12,
    [final] ).

cnf(i_0_5961,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_5,
    [final] ).

cnf(i_0_5962,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_5,
    [final] ).

cnf(i_0_5963,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_5964,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_4,
    [final] ).

cnf(i_0_5965,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_2,
    [final] ).

cnf(i_0_5966,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_2,
    [final] ).

cnf(i_0_5967,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_3,
    [final] ).

cnf(i_0_5968,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_2,
    [final] ).

cnf(i_0_5969,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_2,
    [final] ).

cnf(i_0_5970,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_1,
    [final] ).

cnf(i_0_5971,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_5972,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_5973,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_2,
    [final] ).

cnf(i_0_5974,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_13,
    [final] ).

cnf(i_0_5975,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_7,
    [final] ).

cnf(i_0_5976,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_0,
    [final] ).

cnf(i_0_5977,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_5978,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_58,
    [final] ).

cnf(i_0_5979,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_1,
    [final] ).

cnf(i_0_5980,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_44,
    [final] ).

cnf(i_0_5981,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_38,
    [final] ).

cnf(i_0_5982,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_5983,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_10,
    [final] ).

cnf(i_0_5984,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_8,
    [final] ).

cnf(i_0_5985,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_8,
    [final] ).

cnf(i_0_5986,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_17,
    [final] ).

cnf(i_0_5987,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_17,
    [final] ).

cnf(i_0_5988,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_8,
    [final] ).

cnf(i_0_5989,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_10,
    [final] ).

cnf(i_0_5990,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_5991,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_5992,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_5993,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_5994,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_5995,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_10,
    [final] ).

cnf(i_0_5996,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_5997,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_5998,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_5999,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_0,
    [final] ).

cnf(i_0_6000,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_4,
    [final] ).

cnf(i_0_6001,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_2,
    [final] ).

cnf(i_0_6002,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    clsrel_LOrder_Ojoin__semilorder_1,
    [final] ).

cnf(i_0_6003,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    clsrel_LOrder_Omeet__semilorder_1,
    [final] ).

cnf(i_0_6004,axiom,
    c_Parity_Oeven(c_0,tc_IntDef_Oint),
    cls_Parity_Oeven__zero_0,
    [final] ).

cnf(i_0_6005,axiom,
    c_Parity_Oeven(c_0,tc_nat),
    cls_Parity_Oeven__nat__zero_0,
    [final] ).

cnf(i_0_6006,axiom,
    c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
    cls_Wellfounded__Relations_Otrans__less__than_0,
    [final] ).

cnf(i_0_6007,axiom,
    c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
    cls_Wellfounded__Relations_Owf__less__than_0,
    [final] ).

cnf(i_0_6008,axiom,
    c_SetInterval_OatLeast(c_0,tc_nat) = c_UNIV,
    cls_SetInterval_OatLeast__0_0,
    [final] ).

cnf(i_0_6009,plain,
    c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) = c_Numeral_OPls,
    inference(rw,[status(thm)],[i_0_3226,c_0_3021]),
    [final] ).

cnf(i_0_6010,axiom,
    c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) = c_Numeral_OPls,
    cls_Numeral_OPls__0__eq_0,
    [final] ).

cnf(i_0_6011,axiom,
    c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) = c_Numeral_OMin,
    cls_Numeral_OMin__1__eq_0,
    [final] ).

cnf(i_0_6012,plain,
    c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin) = c_Numeral_OMin,
    inference(rw,[status(thm)],[i_0_3227,c_0_3199]),
    [final] ).

cnf(i_0_6013,axiom,
    c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0,
    cls_NatBin_Onat__numeral__0__eq__0_0,
    [final] ).

cnf(i_0_6014,axiom,
    c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset,
    cls_SetInterval_OlessThan__0_0,
    [final] ).

cnf(i_0_6015,axiom,
    c_Nat_Osize(c_Public_Okeymode_OEncryption,tc_Public_Okeymode) = c_0,
    cls_Public_Okeymode_Osize__2_0,
    [final] ).

cnf(i_0_6016,axiom,
    c_Nat_Osize(c_Public_Okeymode_OSignature,tc_Public_Okeymode) = c_0,
    cls_Public_Okeymode_Osize__1_0,
    [final] ).

cnf(i_0_6017,axiom,
    c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) = c_0,
    cls_Message_Oagent_Osize__3_0,
    [final] ).

cnf(i_0_6018,axiom,
    c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) = c_0,
    cls_Message_Oagent_Osize__1_0,
    [final] ).

cnf(i_0_6019,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__9_0,
    [final] ).

cnf(i_0_6020,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__8_0,
    [final] ).

cnf(i_0_6021,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__7_0,
    [final] ).

cnf(i_0_6022,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__6_0,
    [final] ).

cnf(i_0_6023,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__5_0,
    [final] ).

cnf(i_0_6024,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__4_0,
    [final] ).

cnf(i_0_6025,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__3_0,
    [final] ).

cnf(i_0_6026,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__2_0,
    [final] ).

cnf(i_0_6027,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__1_0,
    [final] ).

cnf(i_0_6028,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__16_0,
    [final] ).

cnf(i_0_6029,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__15_0,
    [final] ).

cnf(i_0_6030,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__14_0,
    [final] ).

cnf(i_0_6031,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__13_0,
    [final] ).

cnf(i_0_6032,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__12_0,
    [final] ).

cnf(i_0_6033,axiom,
    c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__11_0,
    [final] ).

cnf(i_0_6034,axiom,
    c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0,
    cls_List_Onibble_Osize__10_0,
    [final] ).

cnf(i_0_6035,axiom,
    c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) = c_0,
    cls_Numeral_Obit_Osize__1_0,
    [final] ).

cnf(i_0_6036,axiom,
    c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = c_0,
    cls_Numeral_Obit_Osize__2_0,
    [final] ).

cnf(i_0_6037,axiom,
    c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) = c_0,
    cls_Extraction_Osumbool_Osize__2_0,
    [final] ).

cnf(i_0_6038,axiom,
    c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) = c_0,
    cls_Extraction_Osumbool_Osize__1_0,
    [final] ).

cnf(i_0_6039,axiom,
    c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0,
    cls_Datatype_Ounit_Osize_0,
    [final] ).

cnf(i_0_6040,axiom,
    c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
    cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,
    [final] ).

cnf(i_0_6041,axiom,
    c_IntDef_Onat(c_IntDef_Oint(X1)) = X1,
    cls_IntDef_Onat__int_0,
    [final] ).

cnf(i_0_6042,axiom,
    class_Nat_Opower(tc_set(X1)),
    clsarity_set_4,
    [final] ).

cnf(i_0_6043,axiom,
    class_Orderings_Oord(tc_set(X1)),
    clsarity_set_1,
    [final] ).

cnf(i_0_6044,axiom,
    class_HOL_Ominus(tc_set(X1)),
    clsarity_set_0,
    [final] ).

cnf(i_0_6045,axiom,
    class_Orderings_Oorder(tc_set(X1)),
    clsarity_set_2,
    [final] ).

cnf(i_0_6046,axiom,
    ( X1 = c_0
    | c_IntDef_Oint(X1) != c_0 ),
    cls_IntDef_Oint__eq__0__conv_0,
    [final] ).

cnf(i_0_6047,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | c_1 != c_0 ),
    cls_Ring__and__Field_Oone__neq__zero_0,
    [final] ).

cnf(i_0_6048,axiom,
    ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | c_0 != c_1 ),
    cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0,
    [final] ).

cnf(i_0_6049,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
    cls_Message_Oagent_Odistinct__5_0,
    [final] ).

cnf(i_0_6050,axiom,
    c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
    cls_Message_Oagent_Odistinct__2_0,
    [final] ).

cnf(i_0_6051,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
    cls_Message_Oagent_Odistinct__6_0,
    [final] ).

cnf(i_0_6052,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
    cls_Message_Oagent_Odistinct__1_0,
    [final] ).

cnf(i_0_6053,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    clsarity_nat_8,
    [final] ).

cnf(i_0_6054,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_9,
    [final] ).

cnf(i_0_6055,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    clsarity_nat_17,
    [final] ).

cnf(i_0_6056,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_8,
    [final] ).

cnf(i_0_6057,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_nat),
    clsarity_nat_16,
    [final] ).

cnf(i_0_6058,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_7,
    [final] ).

cnf(i_0_6059,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    clsarity_nat_15,
    [final] ).

cnf(i_0_6060,axiom,
    class_Parity_Oeven__odd(tc_IntDef_Oint),
    clsarity_IntDef__Oint_64,
    [final] ).

cnf(i_0_6061,axiom,
    class_Parity_Oeven__odd(tc_nat),
    clsarity_nat_47,
    [final] ).

cnf(i_0_6062,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    clsarity_IntDef__Oint_63,
    [final] ).

cnf(i_0_6063,axiom,
    class_Power_Orecpower(tc_nat),
    clsarity_nat_45,
    [final] ).

cnf(i_0_6064,axiom,
    class_Nat_Opower(tc_IntDef_Oint),
    clsarity_IntDef__Oint_62,
    [final] ).

cnf(i_0_6065,axiom,
    class_Nat_Opower(tc_nat),
    clsarity_nat_12,
    [final] ).

cnf(i_0_6066,axiom,
    class_Divides_Odiv(tc_IntDef_Oint),
    clsarity_IntDef__Oint_61,
    [final] ).

cnf(i_0_6067,axiom,
    class_Divides_Odiv(tc_nat),
    clsarity_nat_44,
    [final] ).

cnf(i_0_6068,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_60,
    [final] ).

cnf(i_0_6069,axiom,
    class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_6,
    [final] ).

cnf(i_0_6070,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    clsarity_nat_14,
    [final] ).

cnf(i_0_6071,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    clsarity_IntDef__Oint_59,
    [final] ).

cnf(i_0_6072,axiom,
    class_Numeral_Onumber(tc_nat),
    clsarity_nat_46,
    [final] ).

cnf(i_0_6073,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_58,
    [final] ).

cnf(i_0_6074,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_57,
    [final] ).

cnf(i_0_6075,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_56,
    [final] ).

cnf(i_0_6076,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    clsarity_nat_43,
    [final] ).

cnf(i_0_6077,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_55,
    [final] ).

cnf(i_0_6078,axiom,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
    clsarity_IntDef__Oint_54,
    [final] ).

cnf(i_0_6079,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_53,
    [final] ).

cnf(i_0_6080,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    clsarity_IntDef__Oint_52,
    [final] ).

cnf(i_0_6081,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    clsarity_IntDef__Oint_51,
    [final] ).

cnf(i_0_6082,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    clsarity_IntDef__Oint_50,
    [final] ).

cnf(i_0_6083,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    clsarity_IntDef__Oint_5,
    [final] ).

cnf(i_0_6084,axiom,
    class_Orderings_Oord(tc_nat),
    clsarity_nat_2,
    [final] ).

cnf(i_0_6085,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_49,
    [final] ).

cnf(i_0_6086,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    clsarity_IntDef__Oint_48,
    [final] ).

cnf(i_0_6087,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_47,
    [final] ).

cnf(i_0_6088,axiom,
    class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
    clsarity_IntDef__Oint_46,
    [final] ).

cnf(i_0_6089,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_45,
    [final] ).

cnf(i_0_6090,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    clsarity_nat_42,
    [final] ).

cnf(i_0_6091,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_44,
    [final] ).

cnf(i_0_6092,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    clsarity_nat_41,
    [final] ).

cnf(i_0_6093,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_43,
    [final] ).

cnf(i_0_6094,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    clsarity_nat_40,
    [final] ).

cnf(i_0_6095,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_42,
    [final] ).

cnf(i_0_6096,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    clsarity_nat_39,
    [final] ).

cnf(i_0_6097,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_41,
    [final] ).

cnf(i_0_6098,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    clsarity_nat_38,
    [final] ).

cnf(i_0_6099,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_40,
    [final] ).

cnf(i_0_6100,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    clsarity_nat_37,
    [final] ).

cnf(i_0_6101,axiom,
    class_HOL_Ozero(tc_IntDef_Oint),
    clsarity_IntDef__Oint_4,
    [final] ).

cnf(i_0_6102,axiom,
    class_HOL_Ozero(tc_nat),
    clsarity_nat_1,
    [final] ).

cnf(i_0_6103,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_39,
    [final] ).

cnf(i_0_6104,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    clsarity_nat_36,
    [final] ).

cnf(i_0_6105,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
    clsarity_IntDef__Oint_38,
    [final] ).

cnf(i_0_6106,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    clsarity_nat_35,
    [final] ).

cnf(i_0_6107,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_37,
    [final] ).

cnf(i_0_6108,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    clsarity_nat_34,
    [final] ).

cnf(i_0_6109,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_36,
    [final] ).

cnf(i_0_6110,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    clsarity_nat_33,
    [final] ).

cnf(i_0_6111,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_35,
    [final] ).

cnf(i_0_6112,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat_7,
    [final] ).

cnf(i_0_6113,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_34,
    [final] ).

cnf(i_0_6114,axiom,
    class_LOrder_Olorder(tc_nat),
    clsarity_nat_6,
    [final] ).

cnf(i_0_6115,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_33,
    [final] ).

cnf(i_0_6116,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    clsarity_nat_5,
    [final] ).

cnf(i_0_6117,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_32,
    [final] ).

cnf(i_0_6118,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    clsarity_nat_4,
    [final] ).

cnf(i_0_6119,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_30,
    [final] ).

cnf(i_0_6120,axiom,
    class_HOL_Otimes(tc_IntDef_Oint),
    clsarity_IntDef__Oint_3,
    [final] ).

cnf(i_0_6121,axiom,
    class_HOL_Otimes(tc_nat),
    clsarity_nat_11,
    [final] ).

cnf(i_0_6122,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_29,
    [final] ).

cnf(i_0_6123,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    clsarity_nat_32,
    [final] ).

cnf(i_0_6124,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_28,
    [final] ).

cnf(i_0_6125,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_27,
    [final] ).

cnf(i_0_6126,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    clsarity_nat_30,
    [final] ).

cnf(i_0_6127,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_26,
    [final] ).

cnf(i_0_6128,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    clsarity_nat_26,
    [final] ).

cnf(i_0_6129,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_25,
    [final] ).

cnf(i_0_6130,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    clsarity_nat_25,
    [final] ).

cnf(i_0_6131,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_24,
    [final] ).

cnf(i_0_6132,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    clsarity_nat_24,
    [final] ).

cnf(i_0_6133,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_23,
    [final] ).

cnf(i_0_6134,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    clsarity_nat_23,
    [final] ).

cnf(i_0_6135,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_22,
    [final] ).

cnf(i_0_6136,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    clsarity_nat_13,
    [final] ).

cnf(i_0_6137,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_21,
    [final] ).

cnf(i_0_6138,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_20,
    [final] ).

cnf(i_0_6139,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    clsarity_nat_31,
    [final] ).

cnf(i_0_6140,axiom,
    class_HOL_Oplus(tc_IntDef_Oint),
    clsarity_IntDef__Oint_2,
    [final] ).

cnf(i_0_6141,axiom,
    class_HOL_Oplus(tc_nat),
    clsarity_nat_10,
    [final] ).

cnf(i_0_6142,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_19,
    [final] ).

cnf(i_0_6143,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_18,
    [final] ).

cnf(i_0_6144,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    clsarity_nat_29,
    [final] ).

cnf(i_0_6145,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_17,
    [final] ).

cnf(i_0_6146,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_16,
    [final] ).

cnf(i_0_6147,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    clsarity_nat_28,
    [final] ).

cnf(i_0_6148,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_15,
    [final] ).

cnf(i_0_6149,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    clsarity_nat_27,
    [final] ).

cnf(i_0_6150,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
    clsarity_IntDef__Oint_14,
    [final] ).

cnf(i_0_6151,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    clsarity_nat_22,
    [final] ).

cnf(i_0_6152,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    clsarity_IntDef__Oint_13,
    [final] ).

cnf(i_0_6153,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    clsarity_nat_21,
    [final] ).

cnf(i_0_6154,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_12,
    [final] ).

cnf(i_0_6155,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    clsarity_nat_20,
    [final] ).

cnf(i_0_6156,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_11,
    [final] ).

cnf(i_0_6157,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    clsarity_nat_19,
    [final] ).

cnf(i_0_6158,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_10,
    [final] ).

cnf(i_0_6159,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    clsarity_nat_18,
    [final] ).

cnf(i_0_6160,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    clsarity_IntDef__Oint_1,
    [final] ).

cnf(i_0_6161,axiom,
    class_HOL_Oone(tc_nat),
    clsarity_nat_0,
    [final] ).

cnf(i_0_6162,axiom,
    class_HOL_Ominus(tc_IntDef_Oint),
    clsarity_IntDef__Oint_0,
    [final] ).

cnf(i_0_6163,axiom,
    class_HOL_Ominus(tc_nat),
    clsarity_nat_9,
    [final] ).

cnf(i_0_6164,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    clsarity_bool_0,
    [final] ).

cnf(i_0_6165,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    clsarity_Product____Type__Ounit_0,
    [final] ).

cnf(i_0_6166,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_31,
    [final] ).

cnf(i_0_6167,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat_3,
    [final] ).

cnf(i_0_6168,axiom,
    c_Message_Oanalz(c_emptyset) = c_emptyset,
    cls_Message_Oanalz__empty_0,
    [final] ).

cnf(i_0_6169,axiom,
    c_Message_OkeysFor(c_emptyset) = c_emptyset,
    cls_Message_OkeysFor__empty_0,
    [final] ).

cnf(i_0_6170,axiom,
    c_Message_Oparts(c_emptyset) = c_emptyset,
    cls_Message_Oparts__empty_0,
    [final] ).

cnf(i_0_6171,axiom,
    c_Numeral_Obin__succ(c_Numeral_OMin) = c_Numeral_OPls,
    cls_Numeral_Obin__succ__Min_0,
    [final] ).

cnf(i_0_6172,axiom,
    c_IntDef_Onat(c_0) = c_0,
    cls_IntDef_Onat__zero_0,
    [final] ).

cnf(i_0_6173,axiom,
    c_IntDef_Oint(c_1) = c_1,
    cls_IntDef_Oint__1_0,
    [final] ).

cnf(i_0_6174,axiom,
    c_IntDef_Oint(c_0) = c_0,
    cls_IntDef_Oint__eq__0__conv_1,
    [final] ).

cnf(i_0_6175,axiom,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
    cls_Public_Okeymode_Odistinct__2_0,
    [final] ).

cnf(i_0_6176,axiom,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
    cls_Public_Okeymode_Odistinct__1_0,
    [final] ).

cnf(i_0_6177,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    cls_Message_Oagent_Odistinct__4_0,
    [final] ).

cnf(i_0_6178,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    cls_Message_Oagent_Odistinct__3_0,
    [final] ).

cnf(i_0_6179,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    cls_Numeral_Obit_Odistinct__2_0,
    [final] ).

cnf(i_0_6180,axiom,
    c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
    cls_Numeral_Obit_Odistinct__1_0,
    [final] ).

cnf(i_0_6181,axiom,
    c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
    cls_Extraction_Osumbool_Odistinct__2_0,
    [final] ).

cnf(i_0_6182,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    cls_Extraction_Osumbool_Odistinct__1_0,
    [final] ).

cnf(i_0_6183,axiom,
    c_UNIV != c_emptyset,
    cls_Set_OUNIV__not__empty_0,
    [final] ).

cnf(i_0_6184,axiom,
    c_0 != c_1,
    cls_IntDef_Oint__0__neq__1_0,
    [final] ).

cnf(i_0_6185,axiom,
    X1 = X1 ).

cnf(i_0_6186,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_6187,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_6188,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6189,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6190,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6191,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6192,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6193,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6194,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6195,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6196,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6197,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6198,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X1,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X2,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6199,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X1,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X2,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6200,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X1,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X2,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6201,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X1,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X2,X16,X17,X18,X19) ) ).

cnf(i_0_6202,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X2,X17,X18,X19) ) ).

cnf(i_0_6203,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X1,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X2,X18,X19) ) ).

cnf(i_0_6204,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X1,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X2,X19) ) ).

cnf(i_0_6205,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X2) ) ).

cnf(i_0_6206,axiom,
    ( X1 != X2
    | c_Relation_Odiag(X1,X3) = c_Relation_Odiag(X2,X3) ) ).

cnf(i_0_6207,axiom,
    ( X1 != X2
    | c_Relation_Odiag(X3,X1) = c_Relation_Odiag(X3,X2) ) ).

cnf(i_0_6208,axiom,
    ( X1 != X2
    | c_Event_Oevent_OGets(X1,X3) = c_Event_Oevent_OGets(X2,X3) ) ).

cnf(i_0_6209,axiom,
    ( X1 != X2
    | c_Event_Oevent_OGets(X3,X1) = c_Event_Oevent_OGets(X3,X2) ) ).

cnf(i_0_6210,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X1,X3,X4) = c_List_Oreplicate(X2,X3,X4) ) ).

cnf(i_0_6211,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X3,X1,X4) = c_List_Oreplicate(X3,X2,X4) ) ).

cnf(i_0_6212,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X3,X4,X1) = c_List_Oreplicate(X3,X4,X2) ) ).

cnf(i_0_6213,axiom,
    ( X1 != X2
    | c_Orderings_Omin(X1,X3,X4) = c_Orderings_Omin(X2,X3,X4) ) ).

cnf(i_0_6214,axiom,
    ( X1 != X2
    | c_Orderings_Omin(X3,X1,X4) = c_Orderings_Omin(X3,X2,X4) ) ).

cnf(i_0_6215,axiom,
    ( X1 != X2
    | c_Orderings_Omin(X3,X4,X1) = c_Orderings_Omin(X3,X4,X2) ) ).

cnf(i_0_6216,axiom,
    ( X1 != X2
    | c_List_Olist__update(X1,X3,X4,X5) = c_List_Olist__update(X2,X3,X4,X5) ) ).

cnf(i_0_6217,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X1,X4,X5) = c_List_Olist__update(X3,X2,X4,X5) ) ).

cnf(i_0_6218,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X4,X1,X5) = c_List_Olist__update(X3,X4,X2,X5) ) ).

cnf(i_0_6219,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X4,X5,X1) = c_List_Olist__update(X3,X4,X5,X2) ) ).

cnf(i_0_6220,axiom,
    ( X1 != X2
    | c_divide(X1,X3,X4) = c_divide(X2,X3,X4) ) ).

cnf(i_0_6221,axiom,
    ( X1 != X2
    | c_divide(X3,X1,X4) = c_divide(X3,X2,X4) ) ).

cnf(i_0_6222,axiom,
    ( X1 != X2
    | c_divide(X3,X4,X1) = c_divide(X3,X4,X2) ) ).

cnf(i_0_6223,axiom,
    ( X1 != X2
    | c_Pow(X1,X3) = c_Pow(X2,X3) ) ).

cnf(i_0_6224,axiom,
    ( X1 != X2
    | c_Pow(X3,X1) = c_Pow(X3,X2) ) ).

cnf(i_0_6225,axiom,
    ( X1 != X2
    | c_List_Olists(X1,X3) = c_List_Olists(X2,X3) ) ).

cnf(i_0_6226,axiom,
    ( X1 != X2
    | c_List_Olists(X3,X1) = c_List_Olists(X3,X2) ) ).

cnf(i_0_6227,axiom,
    ( X1 != X2
    | c_List_Odrop(X1,X3,X4) = c_List_Odrop(X2,X3,X4) ) ).

cnf(i_0_6228,axiom,
    ( X1 != X2
    | c_List_Odrop(X3,X1,X4) = c_List_Odrop(X3,X2,X4) ) ).

cnf(i_0_6229,axiom,
    ( X1 != X2
    | c_List_Odrop(X3,X4,X1) = c_List_Odrop(X3,X4,X2) ) ).

cnf(i_0_6230,axiom,
    ( X1 != X2
    | c_Message_Osynth(X1) = c_Message_Osynth(X2) ) ).

cnf(i_0_6231,axiom,
    ( X1 != X2
    | c_Numeral_Obin__add(X1,X3) = c_Numeral_Obin__add(X2,X3) ) ).

cnf(i_0_6232,axiom,
    ( X1 != X2
    | c_Numeral_Obin__add(X3,X1) = c_Numeral_Obin__add(X3,X2) ) ).

cnf(i_0_6233,axiom,
    ( X1 != X2
    | c_Numeral_Obin__mult(X1,X3) = c_Numeral_Obin__mult(X2,X3) ) ).

cnf(i_0_6234,axiom,
    ( X1 != X2
    | c_Numeral_Obin__mult(X3,X1) = c_Numeral_Obin__mult(X3,X2) ) ).

cnf(i_0_6235,axiom,
    ( X1 != X2
    | c_Event_Oused(X1) = c_Event_Oused(X2) ) ).

cnf(i_0_6236,axiom,
    ( X1 != X2
    | c_Message_OinvKey(X1) = c_Message_OinvKey(X2) ) ).

cnf(i_0_6237,axiom,
    ( X1 != X2
    | c_IntDef_Oint(X1) = c_IntDef_Oint(X2) ) ).

cnf(i_0_6238,axiom,
    ( X1 != X2
    | c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).

cnf(i_0_6239,axiom,
    ( X1 != X2
    | c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).

cnf(i_0_6240,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastLessThan(X1,X3,X4) = c_SetInterval_OatLeastLessThan(X2,X3,X4) ) ).

cnf(i_0_6241,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastLessThan(X3,X1,X4) = c_SetInterval_OatLeastLessThan(X3,X2,X4) ) ).

cnf(i_0_6242,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastLessThan(X3,X4,X1) = c_SetInterval_OatLeastLessThan(X3,X4,X2) ) ).

cnf(i_0_6243,axiom,
    ( X1 != X2
    | c_List_Oremove1(X1,X3,X4) = c_List_Oremove1(X2,X3,X4) ) ).

cnf(i_0_6244,axiom,
    ( X1 != X2
    | c_List_Oremove1(X3,X1,X4) = c_List_Oremove1(X3,X2,X4) ) ).

cnf(i_0_6245,axiom,
    ( X1 != X2
    | c_List_Oremove1(X3,X4,X1) = c_List_Oremove1(X3,X4,X2) ) ).

cnf(i_0_6246,axiom,
    ( X1 != X2
    | c_Message_OkeysFor(X1) = c_Message_OkeysFor(X2) ) ).

cnf(i_0_6247,axiom,
    ( X1 != X2
    | c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).

cnf(i_0_6248,axiom,
    ( X1 != X2
    | c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).

cnf(i_0_6249,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4) ) ).

cnf(i_0_6250,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X1,X4) = c_Datatype__Universe_OAtom(X3,X2,X4) ) ).

cnf(i_0_6251,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X4,X1) = c_Datatype__Universe_OAtom(X3,X4,X2) ) ).

cnf(i_0_6252,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4) ) ).

cnf(i_0_6253,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X1,X4) = c_Datatype__Universe_ONumb(X3,X2,X4) ) ).

cnf(i_0_6254,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X4,X1) = c_Datatype__Universe_ONumb(X3,X4,X2) ) ).

cnf(i_0_6255,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4) ) ).

cnf(i_0_6256,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X1,X4) = c_Datatype__Universe_OLeaf(X3,X2,X4) ) ).

cnf(i_0_6257,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X4,X1) = c_Datatype__Universe_OLeaf(X3,X4,X2) ) ).

cnf(i_0_6258,axiom,
    ( X1 != X2
    | c_List_Oupt(X1,X3) = c_List_Oupt(X2,X3) ) ).

cnf(i_0_6259,axiom,
    ( X1 != X2
    | c_List_Oupt(X3,X1) = c_List_Oupt(X3,X2) ) ).

cnf(i_0_6260,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X1,X3,X4) = c_List_Olist__inter(X2,X3,X4) ) ).

cnf(i_0_6261,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X3,X1,X4) = c_List_Olist__inter(X3,X2,X4) ) ).

cnf(i_0_6262,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X3,X4,X1) = c_List_Olist__inter(X3,X4,X2) ) ).

cnf(i_0_6263,axiom,
    ( X1 != X2
    | c_Finite__Set_OMax(X1,X3) = c_Finite__Set_OMax(X2,X3) ) ).

cnf(i_0_6264,axiom,
    ( X1 != X2
    | c_Finite__Set_OMax(X3,X1) = c_Finite__Set_OMax(X3,X2) ) ).

cnf(i_0_6265,axiom,
    ( X1 != X2
    | c_Finite__Set_OMin(X1,X3) = c_Finite__Set_OMin(X2,X3) ) ).

cnf(i_0_6266,axiom,
    ( X1 != X2
    | c_Finite__Set_OMin(X3,X1) = c_Finite__Set_OMin(X3,X2) ) ).

cnf(i_0_6267,axiom,
    ( X1 != X2
    | c_Orderings_Omax(X1,X3,X4) = c_Orderings_Omax(X2,X3,X4) ) ).

cnf(i_0_6268,axiom,
    ( X1 != X2
    | c_Orderings_Omax(X3,X1,X4) = c_Orderings_Omax(X3,X2,X4) ) ).

cnf(i_0_6269,axiom,
    ( X1 != X2
    | c_Orderings_Omax(X3,X4,X1) = c_Orderings_Omax(X3,X4,X2) ) ).

cnf(i_0_6270,axiom,
    ( X1 != X2
    | c_Inter(X1,X3) = c_Inter(X2,X3) ) ).

cnf(i_0_6271,axiom,
    ( X1 != X2
    | c_Inter(X3,X1) = c_Inter(X3,X2) ) ).

cnf(i_0_6272,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastAtMost(X1,X3,X4) = c_SetInterval_OatLeastAtMost(X2,X3,X4) ) ).

cnf(i_0_6273,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastAtMost(X3,X1,X4) = c_SetInterval_OatLeastAtMost(X3,X2,X4) ) ).

cnf(i_0_6274,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastAtMost(X3,X4,X1) = c_SetInterval_OatLeastAtMost(X3,X4,X2) ) ).

cnf(i_0_6275,axiom,
    ( X1 != X2
    | c_Message_Oparts(X1) = c_Message_Oparts(X2) ) ).

cnf(i_0_6276,axiom,
    ( X1 != X2
    | c_IntDef_Onat(X1) = c_IntDef_Onat(X2) ) ).

cnf(i_0_6277,axiom,
    ( X1 != X2
    | c_Event_Oevent_ONotes(X1,X3) = c_Event_Oevent_ONotes(X2,X3) ) ).

cnf(i_0_6278,axiom,
    ( X1 != X2
    | c_Event_Oevent_ONotes(X3,X1) = c_Event_Oevent_ONotes(X3,X2) ) ).

cnf(i_0_6279,axiom,
    ( X1 != X2
    | c_HOL_Oinverse(X1,X3) = c_HOL_Oinverse(X2,X3) ) ).

cnf(i_0_6280,axiom,
    ( X1 != X2
    | c_HOL_Oinverse(X3,X1) = c_HOL_Oinverse(X3,X2) ) ).

cnf(i_0_6281,axiom,
    ( X1 != X2
    | c_Binomial_Obinomial(X1,X3) = c_Binomial_Obinomial(X2,X3) ) ).

cnf(i_0_6282,axiom,
    ( X1 != X2
    | c_Binomial_Obinomial(X3,X1) = c_Binomial_Obinomial(X3,X2) ) ).

cnf(i_0_6283,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThanAtMost(X1,X3,X4) = c_SetInterval_OgreaterThanAtMost(X2,X3,X4) ) ).

cnf(i_0_6284,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThanAtMost(X3,X1,X4) = c_SetInterval_OgreaterThanAtMost(X3,X2,X4) ) ).

cnf(i_0_6285,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThanAtMost(X3,X4,X1) = c_SetInterval_OgreaterThanAtMost(X3,X4,X2) ) ).

cnf(i_0_6286,axiom,
    ( X1 != X2
    | c_HOL_Oabs(X1,X3) = c_HOL_Oabs(X2,X3) ) ).

cnf(i_0_6287,axiom,
    ( X1 != X2
    | c_HOL_Oabs(X3,X1) = c_HOL_Oabs(X3,X2) ) ).

cnf(i_0_6288,axiom,
    ( X1 != X2
    | c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).

cnf(i_0_6289,axiom,
    ( X1 != X2
    | c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).

cnf(i_0_6290,axiom,
    ( X1 != X2
    | c_Union(X1,X3) = c_Union(X2,X3) ) ).

cnf(i_0_6291,axiom,
    ( X1 != X2
    | c_Union(X3,X1) = c_Union(X3,X2) ) ).

cnf(i_0_6292,axiom,
    ( X1 != X2
    | c_List_Olast(X1,X3) = c_List_Olast(X2,X3) ) ).

cnf(i_0_6293,axiom,
    ( X1 != X2
    | c_List_Olast(X3,X1) = c_List_Olast(X3,X2) ) ).

cnf(i_0_6294,axiom,
    ( X1 != X2
    | c_List_Obutlast(X1,X3) = c_List_Obutlast(X2,X3) ) ).

cnf(i_0_6295,axiom,
    ( X1 != X2
    | c_List_Obutlast(X3,X1) = c_List_Obutlast(X3,X2) ) ).

cnf(i_0_6296,axiom,
    ( X1 != X2
    | c_IntDef_OAbs__Integ(X1) = c_IntDef_OAbs__Integ(X2) ) ).

cnf(i_0_6297,axiom,
    ( X1 != X2
    | c_NatArith_Oof__nat(X1,X3) = c_NatArith_Oof__nat(X2,X3) ) ).

cnf(i_0_6298,axiom,
    ( X1 != X2
    | c_NatArith_Oof__nat(X3,X1) = c_NatArith_Oof__nat(X3,X2) ) ).

cnf(i_0_6299,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_6300,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_6301,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_6302,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_6303,axiom,
    ( X1 != X2
    | c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).

cnf(i_0_6304,axiom,
    ( X1 != X2
    | c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).

cnf(i_0_6305,axiom,
    ( X1 != X2
    | c_Public_OpublicKey(X1,X3) = c_Public_OpublicKey(X2,X3) ) ).

cnf(i_0_6306,axiom,
    ( X1 != X2
    | c_Public_OpublicKey(X3,X1) = c_Public_OpublicKey(X3,X2) ) ).

cnf(i_0_6307,axiom,
    ( X1 != X2
    | c_List_Otl(X1,X3) = c_List_Otl(X2,X3) ) ).

cnf(i_0_6308,axiom,
    ( X1 != X2
    | c_List_Otl(X3,X1) = c_List_Otl(X3,X2) ) ).

cnf(i_0_6309,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__rec(X1,X3,X4,X5) = c_Public_Okeymode_Okeymode__rec(X2,X3,X4,X5) ) ).

cnf(i_0_6310,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__rec(X3,X1,X4,X5) = c_Public_Okeymode_Okeymode__rec(X3,X2,X4,X5) ) ).

cnf(i_0_6311,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__rec(X3,X4,X1,X5) = c_Public_Okeymode_Okeymode__rec(X3,X4,X2,X5) ) ).

cnf(i_0_6312,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__rec(X3,X4,X5,X1) = c_Public_Okeymode_Okeymode__rec(X3,X4,X5,X2) ) ).

cnf(i_0_6313,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__case(X1,X3,X4,X5) = c_Public_Okeymode_Okeymode__case(X2,X3,X4,X5) ) ).

cnf(i_0_6314,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__case(X3,X1,X4,X5) = c_Public_Okeymode_Okeymode__case(X3,X2,X4,X5) ) ).

cnf(i_0_6315,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__case(X3,X4,X1,X5) = c_Public_Okeymode_Okeymode__case(X3,X4,X2,X5) ) ).

cnf(i_0_6316,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__case(X3,X4,X5,X1) = c_Public_Okeymode_Okeymode__case(X3,X4,X5,X2) ) ).

cnf(i_0_6317,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__rec(X1,X3,X4,X5) = c_Numeral_Obit_Obit__rec(X2,X3,X4,X5) ) ).

cnf(i_0_6318,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__rec(X3,X1,X4,X5) = c_Numeral_Obit_Obit__rec(X3,X2,X4,X5) ) ).

cnf(i_0_6319,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__rec(X3,X4,X1,X5) = c_Numeral_Obit_Obit__rec(X3,X4,X2,X5) ) ).

cnf(i_0_6320,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__rec(X3,X4,X5,X1) = c_Numeral_Obit_Obit__rec(X3,X4,X5,X2) ) ).

cnf(i_0_6321,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__case(X1,X3,X4,X5) = c_Numeral_Obit_Obit__case(X2,X3,X4,X5) ) ).

cnf(i_0_6322,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__case(X3,X1,X4,X5) = c_Numeral_Obit_Obit__case(X3,X2,X4,X5) ) ).

cnf(i_0_6323,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__case(X3,X4,X1,X5) = c_Numeral_Obit_Obit__case(X3,X4,X2,X5) ) ).

cnf(i_0_6324,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__case(X3,X4,X5,X1) = c_Numeral_Obit_Obit__case(X3,X4,X5,X2) ) ).

cnf(i_0_6325,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__rec(X1,X3,X4,X5) = c_Extraction_Osumbool_Osumbool__rec(X2,X3,X4,X5) ) ).

cnf(i_0_6326,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__rec(X3,X1,X4,X5) = c_Extraction_Osumbool_Osumbool__rec(X3,X2,X4,X5) ) ).

cnf(i_0_6327,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__rec(X3,X4,X1,X5) = c_Extraction_Osumbool_Osumbool__rec(X3,X4,X2,X5) ) ).

cnf(i_0_6328,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__rec(X3,X4,X5,X1) = c_Extraction_Osumbool_Osumbool__rec(X3,X4,X5,X2) ) ).

cnf(i_0_6329,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__case(X1,X3,X4,X5) = c_Extraction_Osumbool_Osumbool__case(X2,X3,X4,X5) ) ).

cnf(i_0_6330,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__case(X3,X1,X4,X5) = c_Extraction_Osumbool_Osumbool__case(X3,X2,X4,X5) ) ).

cnf(i_0_6331,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__case(X3,X4,X1,X5) = c_Extraction_Osumbool_Osumbool__case(X3,X4,X2,X5) ) ).

cnf(i_0_6332,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__case(X3,X4,X5,X1) = c_Extraction_Osumbool_Osumbool__case(X3,X4,X5,X2) ) ).

cnf(i_0_6333,axiom,
    ( X1 != X2
    | c_List_Orotate(X1,X3,X4) = c_List_Orotate(X2,X3,X4) ) ).

cnf(i_0_6334,axiom,
    ( X1 != X2
    | c_List_Orotate(X3,X1,X4) = c_List_Orotate(X3,X2,X4) ) ).

cnf(i_0_6335,axiom,
    ( X1 != X2
    | c_List_Orotate(X3,X4,X1) = c_List_Orotate(X3,X4,X2) ) ).

cnf(i_0_6336,axiom,
    ( X1 != X2
    | c_List_Orotate1(X1,X3) = c_List_Orotate1(X2,X3) ) ).

cnf(i_0_6337,axiom,
    ( X1 != X2
    | c_List_Orotate1(X3,X1) = c_List_Orotate1(X3,X2) ) ).

cnf(i_0_6338,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X1,X3) = c_SetInterval_OgreaterThan(X2,X3) ) ).

cnf(i_0_6339,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X3,X1) = c_SetInterval_OgreaterThan(X3,X2) ) ).

cnf(i_0_6340,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X1,X3) = c_SetInterval_OatLeast(X2,X3) ) ).

cnf(i_0_6341,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X3,X1) = c_SetInterval_OatLeast(X3,X2) ) ).

cnf(i_0_6342,axiom,
    ( X1 != X2
    | c_List_Oconcat(X1,X3) = c_List_Oconcat(X2,X3) ) ).

cnf(i_0_6343,axiom,
    ( X1 != X2
    | c_List_Oconcat(X3,X1) = c_List_Oconcat(X3,X2) ) ).

cnf(i_0_6344,axiom,
    ( X1 != X2
    | c_LOrder_Omeet(X1,X3,X4) = c_LOrder_Omeet(X2,X3,X4) ) ).

cnf(i_0_6345,axiom,
    ( X1 != X2
    | c_LOrder_Omeet(X3,X1,X4) = c_LOrder_Omeet(X3,X2,X4) ) ).

cnf(i_0_6346,axiom,
    ( X1 != X2
    | c_LOrder_Omeet(X3,X4,X1) = c_LOrder_Omeet(X3,X4,X2) ) ).

cnf(i_0_6347,axiom,
    ( X1 != X2
    | c_LOrder_Ojoin(X1,X3,X4) = c_LOrder_Ojoin(X2,X3,X4) ) ).

cnf(i_0_6348,axiom,
    ( X1 != X2
    | c_LOrder_Ojoin(X3,X1,X4) = c_LOrder_Ojoin(X3,X2,X4) ) ).

cnf(i_0_6349,axiom,
    ( X1 != X2
    | c_LOrder_Ojoin(X3,X4,X1) = c_LOrder_Ojoin(X3,X4,X2) ) ).

cnf(i_0_6350,axiom,
    ( X1 != X2
    | c_IntDef_Oof__int(X1,X3) = c_IntDef_Oof__int(X2,X3) ) ).

cnf(i_0_6351,axiom,
    ( X1 != X2
    | c_IntDef_Oof__int(X3,X1) = c_IntDef_Oof__int(X3,X2) ) ).

cnf(i_0_6352,axiom,
    ( X1 != X2
    | c_List_Olistset(X1,X3) = c_List_Olistset(X2,X3) ) ).

cnf(i_0_6353,axiom,
    ( X1 != X2
    | c_List_Olistset(X3,X1) = c_List_Olistset(X3,X2) ) ).

cnf(i_0_6354,axiom,
    ( X1 != X2
    | c_List_Oset__Cons(X1,X3,X4) = c_List_Oset__Cons(X2,X3,X4) ) ).

cnf(i_0_6355,axiom,
    ( X1 != X2
    | c_List_Oset__Cons(X3,X1,X4) = c_List_Oset__Cons(X3,X2,X4) ) ).

cnf(i_0_6356,axiom,
    ( X1 != X2
    | c_List_Oset__Cons(X3,X4,X1) = c_List_Oset__Cons(X3,X4,X2) ) ).

cnf(i_0_6357,axiom,
    ( X1 != X2
    | c_OrderedGroup_Opprt(X1,X3) = c_OrderedGroup_Opprt(X2,X3) ) ).

cnf(i_0_6358,axiom,
    ( X1 != X2
    | c_OrderedGroup_Opprt(X3,X1) = c_OrderedGroup_Opprt(X3,X2) ) ).

cnf(i_0_6359,axiom,
    ( X1 != X2
    | c_OrderedGroup_Onprt(X1,X3) = c_OrderedGroup_Onprt(X2,X3) ) ).

cnf(i_0_6360,axiom,
    ( X1 != X2
    | c_OrderedGroup_Onprt(X3,X1) = c_OrderedGroup_Onprt(X3,X2) ) ).

cnf(i_0_6361,axiom,
    ( X1 != X2
    | c_Message_Omsg_ONumber(X1) = c_Message_Omsg_ONumber(X2) ) ).

cnf(i_0_6362,axiom,
    ( X1 != X2
    | c_IntDef_ORep__Integ(X1) = c_IntDef_ORep__Integ(X2) ) ).

cnf(i_0_6363,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X1,X3) = c_Datatype_Ooption_OSome(X2,X3) ) ).

cnf(i_0_6364,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X3,X1) = c_Datatype_Ooption_OSome(X3,X2) ) ).

cnf(i_0_6365,axiom,
    ( X1 != X2
    | c_Datatype_Oo2s(X1,X3) = c_Datatype_Oo2s(X2,X3) ) ).

cnf(i_0_6366,axiom,
    ( X1 != X2
    | c_Datatype_Oo2s(X3,X1) = c_Datatype_Oo2s(X3,X2) ) ).

cnf(i_0_6367,axiom,
    ( X1 != X2
    | c_Main_Oconcat__eq__Nil__conv__1(X1,X3) = c_Main_Oconcat__eq__Nil__conv__1(X2,X3) ) ).

cnf(i_0_6368,axiom,
    ( X1 != X2
    | c_Main_Oconcat__eq__Nil__conv__1(X3,X1) = c_Main_Oconcat__eq__Nil__conv__1(X3,X2) ) ).

cnf(i_0_6369,axiom,
    ( X1 != X2
    | c_Main_ONil__eq__concat__conv__1(X1,X3) = c_Main_ONil__eq__concat__conv__1(X2,X3) ) ).

cnf(i_0_6370,axiom,
    ( X1 != X2
    | c_Main_ONil__eq__concat__conv__1(X3,X1) = c_Main_ONil__eq__concat__conv__1(X3,X2) ) ).

cnf(i_0_6371,axiom,
    ( X1 != X2
    | c_List_Ohd(X1,X3) = c_List_Ohd(X2,X3) ) ).

cnf(i_0_6372,axiom,
    ( X1 != X2
    | c_List_Ohd(X3,X1) = c_List_Ohd(X3,X2) ) ).

cnf(i_0_6373,axiom,
    ( X1 != X2
    | c_Numeral_Obin__succ(X1) = c_Numeral_Obin__succ(X2) ) ).

cnf(i_0_6374,axiom,
    ( X1 != X2
    | c_Set_Ocontents(X1,X3) = c_Set_Ocontents(X2,X3) ) ).

cnf(i_0_6375,axiom,
    ( X1 != X2
    | c_Set_Ocontents(X3,X1) = c_Set_Ocontents(X3,X2) ) ).

cnf(i_0_6376,axiom,
    ( X1 != X2
    | c_Main_OInter__UNIV__conv__1__1(X1,X3) = c_Main_OInter__UNIV__conv__1__1(X2,X3) ) ).

cnf(i_0_6377,axiom,
    ( X1 != X2
    | c_Main_OInter__UNIV__conv__1__1(X3,X1) = c_Main_OInter__UNIV__conv__1__1(X3,X2) ) ).

cnf(i_0_6378,axiom,
    ( X1 != X2
    | c_Main_OUnion__empty__conv__1(X1,X3) = c_Main_OUnion__empty__conv__1(X2,X3) ) ).

cnf(i_0_6379,axiom,
    ( X1 != X2
    | c_Main_OUnion__empty__conv__1(X3,X1) = c_Main_OUnion__empty__conv__1(X3,X2) ) ).

cnf(i_0_6380,axiom,
    ( X1 != X2
    | c_Main_OInter__UNIV__conv__2__1(X1,X3) = c_Main_OInter__UNIV__conv__2__1(X2,X3) ) ).

cnf(i_0_6381,axiom,
    ( X1 != X2
    | c_Main_OInter__UNIV__conv__2__1(X3,X1) = c_Main_OInter__UNIV__conv__2__1(X3,X2) ) ).

cnf(i_0_6382,axiom,
    ( X1 != X2
    | c_Main_Oempty__Union__conv__1(X1,X3) = c_Main_Oempty__Union__conv__1(X2,X3) ) ).

cnf(i_0_6383,axiom,
    ( X1 != X2
    | c_Main_Oempty__Union__conv__1(X3,X1) = c_Main_Oempty__Union__conv__1(X3,X2) ) ).

cnf(i_0_6384,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).

cnf(i_0_6385,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).

cnf(i_0_6386,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).

cnf(i_0_6387,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6388,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6389,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6390,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6391,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6392,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6393,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6394,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6395,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6396,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6397,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X1,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X2,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6398,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X1,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X2,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6399,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X1,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X2,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6400,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X1,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X2,X16,X17,X18,X19) ) ).

cnf(i_0_6401,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X2,X17,X18,X19) ) ).

cnf(i_0_6402,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X1,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X2,X18,X19) ) ).

cnf(i_0_6403,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X1,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X2,X19) ) ).

cnf(i_0_6404,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X2) ) ).

cnf(i_0_6405,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X1,X3,X4,X5,X6) = c_Relation_Orel__comp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_6406,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X1,X4,X5,X6) = c_Relation_Orel__comp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_6407,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X1,X5,X6) = c_Relation_Orel__comp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_6408,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X5,X1,X6) = c_Relation_Orel__comp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_6409,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X5,X6,X1) = c_Relation_Orel__comp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_6410,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__rec(X1,X3,X4) = c_Datatype_Ounit_Ounit__rec(X2,X3,X4) ) ).

cnf(i_0_6411,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__rec(X3,X1,X4) = c_Datatype_Ounit_Ounit__rec(X3,X2,X4) ) ).

cnf(i_0_6412,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__rec(X3,X4,X1) = c_Datatype_Ounit_Ounit__rec(X3,X4,X2) ) ).

cnf(i_0_6413,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__case(X1,X3,X4) = c_Datatype_Ounit_Ounit__case(X2,X3,X4) ) ).

cnf(i_0_6414,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__case(X3,X1,X4) = c_Datatype_Ounit_Ounit__case(X3,X2,X4) ) ).

cnf(i_0_6415,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__case(X3,X4,X1) = c_Datatype_Ounit_Ounit__case(X3,X4,X2) ) ).

cnf(i_0_6416,axiom,
    ( X1 != X2
    | c_List_Olexn(X1,X3,X4) = c_List_Olexn(X2,X3,X4) ) ).

cnf(i_0_6417,axiom,
    ( X1 != X2
    | c_List_Olexn(X3,X1,X4) = c_List_Olexn(X3,X2,X4) ) ).

cnf(i_0_6418,axiom,
    ( X1 != X2
    | c_List_Olexn(X3,X4,X1) = c_List_Olexn(X3,X4,X2) ) ).

cnf(i_0_6419,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X1,X3) = c_List_Ochar_OChar(X2,X3) ) ).

cnf(i_0_6420,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X3,X1) = c_List_Ochar_OChar(X3,X2) ) ).

cnf(i_0_6421,axiom,
    ( X1 != X2
    | c_Datatype_Othe(X1,X3) = c_Datatype_Othe(X2,X3) ) ).

cnf(i_0_6422,axiom,
    ( X1 != X2
    | c_Datatype_Othe(X3,X1) = c_Datatype_Othe(X3,X2) ) ).

cnf(i_0_6423,axiom,
    ( X1 != X2
    | c_Message_Oagent_OFriend(X1) = c_Message_Oagent_OFriend(X2) ) ).

cnf(i_0_6424,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) = c_Datatype__Universe_OScons(X2,X3,X4,X5) ) ).

cnf(i_0_6425,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) = c_Datatype__Universe_OScons(X3,X2,X4,X5) ) ).

cnf(i_0_6426,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X1,X5) = c_Datatype__Universe_OScons(X3,X4,X2,X5) ) ).

cnf(i_0_6427,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X5,X1) = c_Datatype__Universe_OScons(X3,X4,X5,X2) ) ).

cnf(i_0_6428,axiom,
    ( X1 != X2
    | c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).

cnf(i_0_6429,axiom,
    ( X1 != X2
    | c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).

cnf(i_0_6430,axiom,
    ( X1 != X2
    | c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).

cnf(i_0_6431,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).

cnf(i_0_6432,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).

cnf(i_0_6433,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).

cnf(i_0_6434,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) = c_Datatype__Universe_OIn1(X2,X3,X4) ) ).

cnf(i_0_6435,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X1,X4) = c_Datatype__Universe_OIn1(X3,X2,X4) ) ).

cnf(i_0_6436,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X4,X1) = c_Datatype__Universe_OIn1(X3,X4,X2) ) ).

cnf(i_0_6437,axiom,
    ( X1 != X2
    | c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).

cnf(i_0_6438,axiom,
    ( X1 != X2
    | c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).

cnf(i_0_6439,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) = c_Datatype__Universe_OIn0(X2,X3,X4) ) ).

cnf(i_0_6440,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X1,X4) = c_Datatype__Universe_OIn0(X3,X2,X4) ) ).

cnf(i_0_6441,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X4,X1) = c_Datatype__Universe_OIn0(X3,X4,X2) ) ).

cnf(i_0_6442,axiom,
    ( X1 != X2
    | c_Relation_OImage(X1,X3,X4,X5) = c_Relation_OImage(X2,X3,X4,X5) ) ).

cnf(i_0_6443,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X1,X4,X5) = c_Relation_OImage(X3,X2,X4,X5) ) ).

cnf(i_0_6444,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X4,X1,X5) = c_Relation_OImage(X3,X4,X2,X5) ) ).

cnf(i_0_6445,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X4,X5,X1) = c_Relation_OImage(X3,X4,X5,X2) ) ).

cnf(i_0_6446,axiom,
    ( X1 != X2
    | c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).

cnf(i_0_6447,axiom,
    ( X1 != X2
    | c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).

cnf(i_0_6448,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ouprod(X1,X3,X4,X5) = c_Datatype__Universe_Ouprod(X2,X3,X4,X5) ) ).

cnf(i_0_6449,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ouprod(X3,X1,X4,X5) = c_Datatype__Universe_Ouprod(X3,X2,X4,X5) ) ).

cnf(i_0_6450,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ouprod(X3,X4,X1,X5) = c_Datatype__Universe_Ouprod(X3,X4,X2,X5) ) ).

cnf(i_0_6451,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ouprod(X3,X4,X5,X1) = c_Datatype__Universe_Ouprod(X3,X4,X5,X2) ) ).

cnf(i_0_6452,axiom,
    ( X1 != X2
    | c_plus(X1,X3,X4) = c_plus(X2,X3,X4) ) ).

cnf(i_0_6453,axiom,
    ( X1 != X2
    | c_plus(X3,X1,X4) = c_plus(X3,X2,X4) ) ).

cnf(i_0_6454,axiom,
    ( X1 != X2
    | c_plus(X3,X4,X1) = c_plus(X3,X4,X2) ) ).

cnf(i_0_6455,axiom,
    ( X1 != X2
    | c_Numeral_Onumber__of(X1,X3) = c_Numeral_Onumber__of(X2,X3) ) ).

cnf(i_0_6456,axiom,
    ( X1 != X2
    | c_Numeral_Onumber__of(X3,X1) = c_Numeral_Onumber__of(X3,X2) ) ).

cnf(i_0_6457,axiom,
    ( X1 != X2
    | c_IntDiv_OnegDivAlg(X1) = c_IntDiv_OnegDivAlg(X2) ) ).

cnf(i_0_6458,axiom,
    ( X1 != X2
    | c_IntDiv_Oadjust(X1,X3) = c_IntDiv_Oadjust(X2,X3) ) ).

cnf(i_0_6459,axiom,
    ( X1 != X2
    | c_IntDiv_Oadjust(X3,X1) = c_IntDiv_Oadjust(X3,X2) ) ).

cnf(i_0_6460,axiom,
    ( X1 != X2
    | c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).

cnf(i_0_6461,axiom,
    ( X1 != X2
    | c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).

cnf(i_0_6462,axiom,
    ( X1 != X2
    | c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).

cnf(i_0_6463,axiom,
    ( X1 != X2
    | c_Numeral_OBit(X1,X3) = c_Numeral_OBit(X2,X3) ) ).

cnf(i_0_6464,axiom,
    ( X1 != X2
    | c_Numeral_OBit(X3,X1) = c_Numeral_OBit(X3,X2) ) ).

cnf(i_0_6465,axiom,
    ( X1 != X2
    | c_IntDiv_OposDivAlg(X1) = c_IntDiv_OposDivAlg(X2) ) ).

cnf(i_0_6466,axiom,
    ( X1 != X2
    | c_div(X1,X3,X4) = c_div(X2,X3,X4) ) ).

cnf(i_0_6467,axiom,
    ( X1 != X2
    | c_div(X3,X1,X4) = c_div(X3,X2,X4) ) ).

cnf(i_0_6468,axiom,
    ( X1 != X2
    | c_div(X3,X4,X1) = c_div(X3,X4,X2) ) ).

cnf(i_0_6469,axiom,
    ( X1 != X2
    | c_fst(X1,X3,X4) = c_fst(X2,X3,X4) ) ).

cnf(i_0_6470,axiom,
    ( X1 != X2
    | c_fst(X3,X1,X4) = c_fst(X3,X2,X4) ) ).

cnf(i_0_6471,axiom,
    ( X1 != X2
    | c_fst(X3,X4,X1) = c_fst(X3,X4,X2) ) ).

cnf(i_0_6472,axiom,
    ( X1 != X2
    | c_Public_OshrK(X1) = c_Public_OshrK(X2) ) ).

cnf(i_0_6473,axiom,
    ( X1 != X2
    | c_IntDiv_OnegateSnd(X1) = c_IntDiv_OnegateSnd(X2) ) ).

cnf(i_0_6474,axiom,
    ( X1 != X2
    | c_uminus(X1,X3) = c_uminus(X2,X3) ) ).

cnf(i_0_6475,axiom,
    ( X1 != X2
    | c_uminus(X3,X1) = c_uminus(X3,X2) ) ).

cnf(i_0_6476,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X1,X3,X4) = c_Divides_Oop_Amod(X2,X3,X4) ) ).

cnf(i_0_6477,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X1,X4) = c_Divides_Oop_Amod(X3,X2,X4) ) ).

cnf(i_0_6478,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X4,X1) = c_Divides_Oop_Amod(X3,X4,X2) ) ).

cnf(i_0_6479,axiom,
    ( X1 != X2
    | c_snd(X1,X3,X4) = c_snd(X2,X3,X4) ) ).

cnf(i_0_6480,axiom,
    ( X1 != X2
    | c_snd(X3,X1,X4) = c_snd(X3,X2,X4) ) ).

cnf(i_0_6481,axiom,
    ( X1 != X2
    | c_snd(X3,X4,X1) = c_snd(X3,X4,X2) ) ).

cnf(i_0_6482,axiom,
    ( X1 != X2
    | c_insert(X1,X3,X4) = c_insert(X2,X3,X4) ) ).

cnf(i_0_6483,axiom,
    ( X1 != X2
    | c_insert(X3,X1,X4) = c_insert(X3,X2,X4) ) ).

cnf(i_0_6484,axiom,
    ( X1 != X2
    | c_insert(X3,X4,X1) = c_insert(X3,X4,X2) ) ).

cnf(i_0_6485,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Otrancl(X1,X3) = c_Transitive__Closure_Otrancl(X2,X3) ) ).

cnf(i_0_6486,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Otrancl(X3,X1) = c_Transitive__Closure_Otrancl(X3,X2) ) ).

cnf(i_0_6487,axiom,
    ( X1 != X2
    | c_union(X1,X3,X4) = c_union(X2,X3,X4) ) ).

cnf(i_0_6488,axiom,
    ( X1 != X2
    | c_union(X3,X1,X4) = c_union(X3,X2,X4) ) ).

cnf(i_0_6489,axiom,
    ( X1 != X2
    | c_union(X3,X4,X1) = c_union(X3,X4,X2) ) ).

cnf(i_0_6490,axiom,
    ( X1 != X2
    | c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).

cnf(i_0_6491,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).

cnf(i_0_6492,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).

cnf(i_0_6493,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).

cnf(i_0_6494,axiom,
    ( X1 != X2
    | c_Nat_Osize(X1,X3) = c_Nat_Osize(X2,X3) ) ).

cnf(i_0_6495,axiom,
    ( X1 != X2
    | c_Nat_Osize(X3,X1) = c_Nat_Osize(X3,X2) ) ).

cnf(i_0_6496,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ousum(X1,X3,X4,X5) = c_Datatype__Universe_Ousum(X2,X3,X4,X5) ) ).

cnf(i_0_6497,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ousum(X3,X1,X4,X5) = c_Datatype__Universe_Ousum(X3,X2,X4,X5) ) ).

cnf(i_0_6498,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ousum(X3,X4,X1,X5) = c_Datatype__Universe_Ousum(X3,X4,X2,X5) ) ).

cnf(i_0_6499,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ousum(X3,X4,X5,X1) = c_Datatype__Universe_Ousum(X3,X4,X5,X2) ) ).

cnf(i_0_6500,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ontrunc(X1,X3,X4,X5) = c_Datatype__Universe_Ontrunc(X2,X3,X4,X5) ) ).

cnf(i_0_6501,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ontrunc(X3,X1,X4,X5) = c_Datatype__Universe_Ontrunc(X3,X2,X4,X5) ) ).

cnf(i_0_6502,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ontrunc(X3,X4,X1,X5) = c_Datatype__Universe_Ontrunc(X3,X4,X2,X5) ) ).

cnf(i_0_6503,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ontrunc(X3,X4,X5,X1) = c_Datatype__Universe_Ontrunc(X3,X4,X5,X2) ) ).

cnf(i_0_6504,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).

cnf(i_0_6505,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).

cnf(i_0_6506,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X1,X3) = c_SetInterval_OatMost(X2,X3) ) ).

cnf(i_0_6507,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X3,X1) = c_SetInterval_OatMost(X3,X2) ) ).

cnf(i_0_6508,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X1,X3,X4) = c_Sum__Type_OInl(X2,X3,X4) ) ).

cnf(i_0_6509,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X1,X4) = c_Sum__Type_OInl(X3,X2,X4) ) ).

cnf(i_0_6510,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X4,X1) = c_Sum__Type_OInl(X3,X4,X2) ) ).

cnf(i_0_6511,axiom,
    ( X1 != X2
    | c_Message_Omsg_OKey(X1) = c_Message_Omsg_OKey(X2) ) ).

cnf(i_0_6512,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X1,X3,X4) = c_Sum__Type_OInr(X2,X3,X4) ) ).

cnf(i_0_6513,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X1,X4) = c_Sum__Type_OInr(X3,X2,X4) ) ).

cnf(i_0_6514,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X4,X1) = c_Sum__Type_OInr(X3,X4,X2) ) ).

cnf(i_0_6515,axiom,
    ( X1 != X2
    | c_Sum__Type_OPlus(X1,X3,X4,X5) = c_Sum__Type_OPlus(X2,X3,X4,X5) ) ).

cnf(i_0_6516,axiom,
    ( X1 != X2
    | c_Sum__Type_OPlus(X3,X1,X4,X5) = c_Sum__Type_OPlus(X3,X2,X4,X5) ) ).

cnf(i_0_6517,axiom,
    ( X1 != X2
    | c_Sum__Type_OPlus(X3,X4,X1,X5) = c_Sum__Type_OPlus(X3,X4,X2,X5) ) ).

cnf(i_0_6518,axiom,
    ( X1 != X2
    | c_Sum__Type_OPlus(X3,X4,X5,X1) = c_Sum__Type_OPlus(X3,X4,X5,X2) ) ).

cnf(i_0_6519,axiom,
    ( X1 != X2
    | c_Relation_ORange(X1,X3,X4) = c_Relation_ORange(X2,X3,X4) ) ).

cnf(i_0_6520,axiom,
    ( X1 != X2
    | c_Relation_ORange(X3,X1,X4) = c_Relation_ORange(X3,X2,X4) ) ).

cnf(i_0_6521,axiom,
    ( X1 != X2
    | c_Relation_ORange(X3,X4,X1) = c_Relation_ORange(X3,X4,X2) ) ).

cnf(i_0_6522,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X1,X3,X4) = c_Relation_ODomain(X2,X3,X4) ) ).

cnf(i_0_6523,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X1,X4) = c_Relation_ODomain(X3,X2,X4) ) ).

cnf(i_0_6524,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X4,X1) = c_Relation_ODomain(X3,X4,X2) ) ).

cnf(i_0_6525,axiom,
    ( X1 != X2
    | c_GCD_Ogcd(X1) = c_GCD_Ogcd(X2) ) ).

cnf(i_0_6526,axiom,
    ( X1 != X2
    | c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).

cnf(i_0_6527,axiom,
    ( X1 != X2
    | c_List_Ozip(X1,X3,X4,X5) = c_List_Ozip(X2,X3,X4,X5) ) ).

cnf(i_0_6528,axiom,
    ( X1 != X2
    | c_List_Ozip(X3,X1,X4,X5) = c_List_Ozip(X3,X2,X4,X5) ) ).

cnf(i_0_6529,axiom,
    ( X1 != X2
    | c_List_Ozip(X3,X4,X1,X5) = c_List_Ozip(X3,X4,X2,X5) ) ).

cnf(i_0_6530,axiom,
    ( X1 != X2
    | c_List_Ozip(X3,X4,X5,X1) = c_List_Ozip(X3,X4,X5,X2) ) ).

cnf(i_0_6531,axiom,
    ( X1 != X2
    | c_append(X1,X3,X4) = c_append(X2,X3,X4) ) ).

cnf(i_0_6532,axiom,
    ( X1 != X2
    | c_append(X3,X1,X4) = c_append(X3,X2,X4) ) ).

cnf(i_0_6533,axiom,
    ( X1 != X2
    | c_append(X3,X4,X1) = c_append(X3,X4,X2) ) ).

cnf(i_0_6534,axiom,
    ( X1 != X2
    | c_Nat_Opower(X1,X3,X4) = c_Nat_Opower(X2,X3,X4) ) ).

cnf(i_0_6535,axiom,
    ( X1 != X2
    | c_Nat_Opower(X3,X1,X4) = c_Nat_Opower(X3,X2,X4) ) ).

cnf(i_0_6536,axiom,
    ( X1 != X2
    | c_Nat_Opower(X3,X4,X1) = c_Nat_Opower(X3,X4,X2) ) ).

cnf(i_0_6537,axiom,
    ( X1 != X2
    | c_Map_Omap__of(X1,X3,X4,X5) = c_Map_Omap__of(X2,X3,X4,X5) ) ).

cnf(i_0_6538,axiom,
    ( X1 != X2
    | c_Map_Omap__of(X3,X1,X4,X5) = c_Map_Omap__of(X3,X2,X4,X5) ) ).

cnf(i_0_6539,axiom,
    ( X1 != X2
    | c_Map_Omap__of(X3,X4,X1,X5) = c_Map_Omap__of(X3,X4,X2,X5) ) ).

cnf(i_0_6540,axiom,
    ( X1 != X2
    | c_Map_Omap__of(X3,X4,X5,X1) = c_Map_Omap__of(X3,X4,X5,X2) ) ).

cnf(i_0_6541,axiom,
    ( X1 != X2
    | c_List_Onth(X1,X3,X4) = c_List_Onth(X2,X3,X4) ) ).

cnf(i_0_6542,axiom,
    ( X1 != X2
    | c_List_Onth(X3,X1,X4) = c_List_Onth(X3,X2,X4) ) ).

cnf(i_0_6543,axiom,
    ( X1 != X2
    | c_List_Onth(X3,X4,X1) = c_List_Onth(X3,X4,X2) ) ).

cnf(i_0_6544,axiom,
    ( X1 != X2
    | c_List_Osublist(X1,X3,X4) = c_List_Osublist(X2,X3,X4) ) ).

cnf(i_0_6545,axiom,
    ( X1 != X2
    | c_List_Osublist(X3,X1,X4) = c_List_Osublist(X3,X2,X4) ) ).

cnf(i_0_6546,axiom,
    ( X1 != X2
    | c_List_Osublist(X3,X4,X1) = c_List_Osublist(X3,X4,X2) ) ).

cnf(i_0_6547,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X1,X3) = c_SetInterval_OlessThan(X2,X3) ) ).

cnf(i_0_6548,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X3,X1) = c_SetInterval_OlessThan(X3,X2) ) ).

cnf(i_0_6549,axiom,
    ( X1 != X2
    | c_minus(X1,X3,X4) = c_minus(X2,X3,X4) ) ).

cnf(i_0_6550,axiom,
    ( X1 != X2
    | c_minus(X3,X1,X4) = c_minus(X3,X2,X4) ) ).

cnf(i_0_6551,axiom,
    ( X1 != X2
    | c_minus(X3,X4,X1) = c_minus(X3,X4,X2) ) ).

cnf(i_0_6552,axiom,
    ( X1 != X2
    | c_Message_Oanalz(X1) = c_Message_Oanalz(X2) ) ).

cnf(i_0_6553,axiom,
    ( X1 != X2
    | c_Message_Omsg_OHash(X1) = c_Message_Omsg_OHash(X2) ) ).

cnf(i_0_6554,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_6555,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_6556,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_6557,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_6558,axiom,
    ( X1 != X2
    | ~ class_Power_Orecpower(X1)
    | class_Power_Orecpower(X2) ) ).

cnf(i_0_6559,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X2) ) ).

cnf(i_0_6560,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X2) ) ).

cnf(i_0_6561,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(X2,X3) ) ).

cnf(i_0_6562,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X3,X1)
    | c_List_Odistinct(X3,X2) ) ).

cnf(i_0_6563,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_6564,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber__ring(X2) ) ).

cnf(i_0_6565,axiom,
    ( X1 != X2
    | ~ c_IntDef_Oneg(X1,X3)
    | c_IntDef_Oneg(X2,X3) ) ).

cnf(i_0_6566,axiom,
    ( X1 != X2
    | ~ c_IntDef_Oneg(X3,X1)
    | c_IntDef_Oneg(X3,X2) ) ).

cnf(i_0_6567,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(X2,X3) ) ).

cnf(i_0_6568,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X3,X1)
    | c_Relation_Otrans(X3,X2) ) ).

cnf(i_0_6569,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_6570,axiom,
    ( X1 != X2
    | ~ c_Yahalom_OKeyWithNonce(X1,X3,X4)
    | c_Yahalom_OKeyWithNonce(X2,X3,X4) ) ).

cnf(i_0_6571,axiom,
    ( X1 != X2
    | ~ c_Yahalom_OKeyWithNonce(X3,X1,X4)
    | c_Yahalom_OKeyWithNonce(X3,X2,X4) ) ).

cnf(i_0_6572,axiom,
    ( X1 != X2
    | ~ c_Yahalom_OKeyWithNonce(X3,X4,X1)
    | c_Yahalom_OKeyWithNonce(X3,X4,X2) ) ).

cnf(i_0_6573,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_6574,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring(X1)
    | class_Ring__and__Field_Osemiring(X2) ) ).

cnf(i_0_6575,axiom,
    ( X1 != X2
    | ~ c_IntDef_Oiszero(X1,X3)
    | c_IntDef_Oiszero(X2,X3) ) ).

cnf(i_0_6576,axiom,
    ( X1 != X2
    | ~ c_IntDef_Oiszero(X3,X1)
    | c_IntDef_Oiszero(X3,X2) ) ).

cnf(i_0_6577,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_6578,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_6579,axiom,
    ( X1 != X2
    | ~ c_Parity_Oeven(X1,X3)
    | c_Parity_Oeven(X2,X3) ) ).

cnf(i_0_6580,axiom,
    ( X1 != X2
    | ~ c_Parity_Oeven(X3,X1)
    | c_Parity_Oeven(X3,X2) ) ).

cnf(i_0_6581,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_6582,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_6583,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X2) ) ).

cnf(i_0_6584,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ) ).

cnf(i_0_6585,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_6586,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_6587,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_6588,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_6589,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Olordered__ab__group(X2) ) ).

cnf(i_0_6590,axiom,
    ( X1 != X2
    | ~ c_List_Oop_Amem(X1,X3,X4)
    | c_List_Oop_Amem(X2,X3,X4) ) ).

cnf(i_0_6591,axiom,
    ( X1 != X2
    | ~ c_List_Oop_Amem(X3,X1,X4)
    | c_List_Oop_Amem(X3,X2,X4) ) ).

cnf(i_0_6592,axiom,
    ( X1 != X2
    | ~ c_List_Oop_Amem(X3,X4,X1)
    | c_List_Oop_Amem(X3,X4,X2) ) ).

cnf(i_0_6593,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_6594,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_6595,axiom,
    ( X1 != X2
    | ~ class_HOL_Oone(X1)
    | class_HOL_Oone(X2) ) ).

cnf(i_0_6596,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X1,X3)
    | c_Infinite__Set_Oatmost__one(X2,X3) ) ).

cnf(i_0_6597,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X3,X1)
    | c_Infinite__Set_Oatmost__one(X3,X2) ) ).

cnf(i_0_6598,axiom,
    ( X1 != X2
    | ~ c_List_Onull(X1,X3)
    | c_List_Onull(X2,X3) ) ).

cnf(i_0_6599,axiom,
    ( X1 != X2
    | ~ c_List_Onull(X3,X1)
    | c_List_Onull(X3,X2) ) ).

cnf(i_0_6600,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_6601,axiom,
    ( X1 != X2
    | ~ class_LOrder_Omeet__semilorder(X1)
    | class_LOrder_Omeet__semilorder(X2) ) ).

cnf(i_0_6602,axiom,
    ( X1 != X2
    | ~ c_less(X1,X3,X4)
    | c_less(X2,X3,X4) ) ).

cnf(i_0_6603,axiom,
    ( X1 != X2
    | ~ c_less(X3,X1,X4)
    | c_less(X3,X2,X4) ) ).

cnf(i_0_6604,axiom,
    ( X1 != X2
    | ~ c_less(X3,X4,X1)
    | c_less(X3,X4,X2) ) ).

cnf(i_0_6605,axiom,
    ( X1 != X2
    | ~ class_LOrder_Ojoin__semilorder(X1)
    | class_LOrder_Ojoin__semilorder(X2) ) ).

cnf(i_0_6606,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_6607,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_6608,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X2) ) ).

cnf(i_0_6609,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(X2) ) ).

cnf(i_0_6610,axiom,
    ( X1 != X2
    | ~ class_Nat_Opower(X1)
    | class_Nat_Opower(X2) ) ).

cnf(i_0_6611,axiom,
    ( X1 != X2
    | ~ class_HOL_Oinverse(X1)
    | class_HOL_Oinverse(X2) ) ).

cnf(i_0_6612,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X2) ) ).

cnf(i_0_6613,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Opordered__comm__ring(X2) ) ).

cnf(i_0_6614,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_6615,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X3)
    | c_Wellfounded__Recursion_Oacyclic(X2,X3) ) ).

cnf(i_0_6616,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X3,X1)
    | c_Wellfounded__Recursion_Oacyclic(X3,X2) ) ).

cnf(i_0_6617,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).

cnf(i_0_6618,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X2) ) ).

cnf(i_0_6619,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X2) ) ).

cnf(i_0_6620,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_6621,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_6622,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(X2) ) ).

cnf(i_0_6623,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X2) ) ).

cnf(i_0_6624,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X2) ) ).

cnf(i_0_6625,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X2) ) ).

cnf(i_0_6626,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X2) ) ).

cnf(i_0_6627,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | c_Wellfounded__Recursion_Owf(X2,X3) ) ).

cnf(i_0_6628,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X3,X1)
    | c_Wellfounded__Recursion_Owf(X3,X2) ) ).

cnf(i_0_6629,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Olordered__ring(X2) ) ).

cnf(i_0_6630,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X2) ) ).

cnf(i_0_6631,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).

cnf(i_0_6632,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).

cnf(i_0_6633,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X2) ) ).

cnf(i_0_6634,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring__1(X2) ) ).

cnf(i_0_6635,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X2) ) ).

cnf(i_0_6636,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X2) ) ).

cnf(i_0_6637,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X2) ) ).

cnf(i_0_6638,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_6639,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X1,X3,X4)
    | c_Divides_Oop_Advd(X2,X3,X4) ) ).

cnf(i_0_6640,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X1,X4)
    | c_Divides_Oop_Advd(X3,X2,X4) ) ).

cnf(i_0_6641,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X4,X1)
    | c_Divides_Oop_Advd(X3,X4,X2) ) ).

cnf(i_0_6642,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X2) ) ).

cnf(i_0_6643,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X2) ) ).

cnf(i_0_6644,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_6645,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_6646,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_6647,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_6648,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X2) ) ).

cnf(i_0_6649,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X2) ) ).

cnf(i_0_6650,axiom,
    ( X1 != X2
    | ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Wellfounded__Recursion_Owellorder(X2) ) ).

cnf(i_0_6651,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X2) ) ).

cnf(i_0_6652,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber(X1)
    | class_Numeral_Onumber(X2) ) ).

cnf(i_0_6653,axiom,
    ( X1 != X2
    | ~ class_LOrder_Olorder(X1)
    | class_LOrder_Olorder(X2) ) ).

cnf(i_0_6654,axiom,
    ( X1 != X2
    | ~ class_HOL_Ozero(X1)
    | class_HOL_Ozero(X2) ) ).

cnf(i_0_6655,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X2) ) ).

cnf(i_0_6656,axiom,
    ( X1 != X2
    | ~ class_HOL_Otimes(X1)
    | class_HOL_Otimes(X2) ) ).

cnf(i_0_6657,axiom,
    ( X1 != X2
    | ~ class_HOL_Oplus(X1)
    | class_HOL_Oplus(X2) ) ).

cnf(i_0_6658,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_6659,axiom,
    ( X1 != X2
    | ~ class_Parity_Oeven__odd(X1)
    | class_Parity_Oeven__odd(X2) ) ).

cnf(i_0_6660,axiom,
    ( X1 != X2
    | ~ class_Divides_Odiv(X1)
    | class_Divides_Odiv(X2) ) ).

cnf(i_0_6661,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_6185_001,axiom,
    X1 = X1 ).

cnf(i_0_6186_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_6187_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_6188_004,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6189_005,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6190_006,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6191_007,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6192_008,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6193_009,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6194_010,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6195_011,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6196_012,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6197_013,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6198_014,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X1,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X2,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6199_015,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X1,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X2,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6200_016,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X1,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X2,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6201_017,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X1,X16,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X2,X16,X17,X18,X19) ) ).

cnf(i_0_6202_018,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X17,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X2,X17,X18,X19) ) ).

cnf(i_0_6203_019,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X1,X18,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X2,X18,X19) ) ).

cnf(i_0_6204_020,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X1,X19) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X2,X19) ) ).

cnf(i_0_6205_021,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1) = c_List_Onibble_Onibble__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X2) ) ).

cnf(i_0_6206_022,axiom,
    ( X1 != X2
    | c_Relation_Odiag(X1,X3) = c_Relation_Odiag(X2,X3) ) ).

cnf(i_0_6207_023,axiom,
    ( X1 != X2
    | c_Relation_Odiag(X3,X1) = c_Relation_Odiag(X3,X2) ) ).

cnf(i_0_6208_024,axiom,
    ( X1 != X2
    | c_Event_Oevent_OGets(X1,X3) = c_Event_Oevent_OGets(X2,X3) ) ).

cnf(i_0_6209_025,axiom,
    ( X1 != X2
    | c_Event_Oevent_OGets(X3,X1) = c_Event_Oevent_OGets(X3,X2) ) ).

cnf(i_0_6210_026,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X1,X3,X4) = c_List_Oreplicate(X2,X3,X4) ) ).

cnf(i_0_6211_027,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X3,X1,X4) = c_List_Oreplicate(X3,X2,X4) ) ).

cnf(i_0_6212_028,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X3,X4,X1) = c_List_Oreplicate(X3,X4,X2) ) ).

cnf(i_0_6213_029,axiom,
    ( X1 != X2
    | c_Orderings_Omin(X1,X3,X4) = c_Orderings_Omin(X2,X3,X4) ) ).

cnf(i_0_6214_030,axiom,
    ( X1 != X2
    | c_Orderings_Omin(X3,X1,X4) = c_Orderings_Omin(X3,X2,X4) ) ).

cnf(i_0_6215_031,axiom,
    ( X1 != X2
    | c_Orderings_Omin(X3,X4,X1) = c_Orderings_Omin(X3,X4,X2) ) ).

cnf(i_0_6216_032,axiom,
    ( X1 != X2
    | c_List_Olist__update(X1,X3,X4,X5) = c_List_Olist__update(X2,X3,X4,X5) ) ).

cnf(i_0_6217_033,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X1,X4,X5) = c_List_Olist__update(X3,X2,X4,X5) ) ).

cnf(i_0_6218_034,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X4,X1,X5) = c_List_Olist__update(X3,X4,X2,X5) ) ).

cnf(i_0_6219_035,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X4,X5,X1) = c_List_Olist__update(X3,X4,X5,X2) ) ).

cnf(i_0_6220_036,axiom,
    ( X1 != X2
    | c_divide(X1,X3,X4) = c_divide(X2,X3,X4) ) ).

cnf(i_0_6221_037,axiom,
    ( X1 != X2
    | c_divide(X3,X1,X4) = c_divide(X3,X2,X4) ) ).

cnf(i_0_6222_038,axiom,
    ( X1 != X2
    | c_divide(X3,X4,X1) = c_divide(X3,X4,X2) ) ).

cnf(i_0_6223_039,axiom,
    ( X1 != X2
    | c_Pow(X1,X3) = c_Pow(X2,X3) ) ).

cnf(i_0_6224_040,axiom,
    ( X1 != X2
    | c_Pow(X3,X1) = c_Pow(X3,X2) ) ).

cnf(i_0_6225_041,axiom,
    ( X1 != X2
    | c_List_Olists(X1,X3) = c_List_Olists(X2,X3) ) ).

cnf(i_0_6226_042,axiom,
    ( X1 != X2
    | c_List_Olists(X3,X1) = c_List_Olists(X3,X2) ) ).

cnf(i_0_6227_043,axiom,
    ( X1 != X2
    | c_List_Odrop(X1,X3,X4) = c_List_Odrop(X2,X3,X4) ) ).

cnf(i_0_6228_044,axiom,
    ( X1 != X2
    | c_List_Odrop(X3,X1,X4) = c_List_Odrop(X3,X2,X4) ) ).

cnf(i_0_6229_045,axiom,
    ( X1 != X2
    | c_List_Odrop(X3,X4,X1) = c_List_Odrop(X3,X4,X2) ) ).

cnf(i_0_6230_046,axiom,
    ( X1 != X2
    | c_Message_Osynth(X1) = c_Message_Osynth(X2) ) ).

cnf(i_0_6231_047,axiom,
    ( X1 != X2
    | c_Numeral_Obin__add(X1,X3) = c_Numeral_Obin__add(X2,X3) ) ).

cnf(i_0_6232_048,axiom,
    ( X1 != X2
    | c_Numeral_Obin__add(X3,X1) = c_Numeral_Obin__add(X3,X2) ) ).

cnf(i_0_6233_049,axiom,
    ( X1 != X2
    | c_Numeral_Obin__mult(X1,X3) = c_Numeral_Obin__mult(X2,X3) ) ).

cnf(i_0_6234_050,axiom,
    ( X1 != X2
    | c_Numeral_Obin__mult(X3,X1) = c_Numeral_Obin__mult(X3,X2) ) ).

cnf(i_0_6235_051,axiom,
    ( X1 != X2
    | c_Event_Oused(X1) = c_Event_Oused(X2) ) ).

cnf(i_0_6236_052,axiom,
    ( X1 != X2
    | c_Message_OinvKey(X1) = c_Message_OinvKey(X2) ) ).

cnf(i_0_6237_053,axiom,
    ( X1 != X2
    | c_IntDef_Oint(X1) = c_IntDef_Oint(X2) ) ).

cnf(i_0_6238_054,axiom,
    ( X1 != X2
    | c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).

cnf(i_0_6239_055,axiom,
    ( X1 != X2
    | c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).

cnf(i_0_6240_056,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastLessThan(X1,X3,X4) = c_SetInterval_OatLeastLessThan(X2,X3,X4) ) ).

cnf(i_0_6241_057,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastLessThan(X3,X1,X4) = c_SetInterval_OatLeastLessThan(X3,X2,X4) ) ).

cnf(i_0_6242_058,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastLessThan(X3,X4,X1) = c_SetInterval_OatLeastLessThan(X3,X4,X2) ) ).

cnf(i_0_6243_059,axiom,
    ( X1 != X2
    | c_List_Oremove1(X1,X3,X4) = c_List_Oremove1(X2,X3,X4) ) ).

cnf(i_0_6244_060,axiom,
    ( X1 != X2
    | c_List_Oremove1(X3,X1,X4) = c_List_Oremove1(X3,X2,X4) ) ).

cnf(i_0_6245_061,axiom,
    ( X1 != X2
    | c_List_Oremove1(X3,X4,X1) = c_List_Oremove1(X3,X4,X2) ) ).

cnf(i_0_6246_062,axiom,
    ( X1 != X2
    | c_Message_OkeysFor(X1) = c_Message_OkeysFor(X2) ) ).

cnf(i_0_6247_063,axiom,
    ( X1 != X2
    | c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).

cnf(i_0_6248_064,axiom,
    ( X1 != X2
    | c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).

cnf(i_0_6249_065,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4) ) ).

cnf(i_0_6250_066,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X1,X4) = c_Datatype__Universe_OAtom(X3,X2,X4) ) ).

cnf(i_0_6251_067,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X4,X1) = c_Datatype__Universe_OAtom(X3,X4,X2) ) ).

cnf(i_0_6252_068,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4) ) ).

cnf(i_0_6253_069,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X1,X4) = c_Datatype__Universe_ONumb(X3,X2,X4) ) ).

cnf(i_0_6254_070,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X4,X1) = c_Datatype__Universe_ONumb(X3,X4,X2) ) ).

cnf(i_0_6255_071,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4) ) ).

cnf(i_0_6256_072,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X1,X4) = c_Datatype__Universe_OLeaf(X3,X2,X4) ) ).

cnf(i_0_6257_073,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X4,X1) = c_Datatype__Universe_OLeaf(X3,X4,X2) ) ).

cnf(i_0_6258_074,axiom,
    ( X1 != X2
    | c_List_Oupt(X1,X3) = c_List_Oupt(X2,X3) ) ).

cnf(i_0_6259_075,axiom,
    ( X1 != X2
    | c_List_Oupt(X3,X1) = c_List_Oupt(X3,X2) ) ).

cnf(i_0_6260_076,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X1,X3,X4) = c_List_Olist__inter(X2,X3,X4) ) ).

cnf(i_0_6261_077,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X3,X1,X4) = c_List_Olist__inter(X3,X2,X4) ) ).

cnf(i_0_6262_078,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X3,X4,X1) = c_List_Olist__inter(X3,X4,X2) ) ).

cnf(i_0_6263_079,axiom,
    ( X1 != X2
    | c_Finite__Set_OMax(X1,X3) = c_Finite__Set_OMax(X2,X3) ) ).

cnf(i_0_6264_080,axiom,
    ( X1 != X2
    | c_Finite__Set_OMax(X3,X1) = c_Finite__Set_OMax(X3,X2) ) ).

cnf(i_0_6265_081,axiom,
    ( X1 != X2
    | c_Finite__Set_OMin(X1,X3) = c_Finite__Set_OMin(X2,X3) ) ).

cnf(i_0_6266_082,axiom,
    ( X1 != X2
    | c_Finite__Set_OMin(X3,X1) = c_Finite__Set_OMin(X3,X2) ) ).

cnf(i_0_6267_083,axiom,
    ( X1 != X2
    | c_Orderings_Omax(X1,X3,X4) = c_Orderings_Omax(X2,X3,X4) ) ).

cnf(i_0_6268_084,axiom,
    ( X1 != X2
    | c_Orderings_Omax(X3,X1,X4) = c_Orderings_Omax(X3,X2,X4) ) ).

cnf(i_0_6269_085,axiom,
    ( X1 != X2
    | c_Orderings_Omax(X3,X4,X1) = c_Orderings_Omax(X3,X4,X2) ) ).

cnf(i_0_6270_086,axiom,
    ( X1 != X2
    | c_Inter(X1,X3) = c_Inter(X2,X3) ) ).

cnf(i_0_6271_087,axiom,
    ( X1 != X2
    | c_Inter(X3,X1) = c_Inter(X3,X2) ) ).

cnf(i_0_6272_088,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastAtMost(X1,X3,X4) = c_SetInterval_OatLeastAtMost(X2,X3,X4) ) ).

cnf(i_0_6273_089,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastAtMost(X3,X1,X4) = c_SetInterval_OatLeastAtMost(X3,X2,X4) ) ).

cnf(i_0_6274_090,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeastAtMost(X3,X4,X1) = c_SetInterval_OatLeastAtMost(X3,X4,X2) ) ).

cnf(i_0_6275_091,axiom,
    ( X1 != X2
    | c_Message_Oparts(X1) = c_Message_Oparts(X2) ) ).

cnf(i_0_6276_092,axiom,
    ( X1 != X2
    | c_IntDef_Onat(X1) = c_IntDef_Onat(X2) ) ).

cnf(i_0_6277_093,axiom,
    ( X1 != X2
    | c_Event_Oevent_ONotes(X1,X3) = c_Event_Oevent_ONotes(X2,X3) ) ).

cnf(i_0_6278_094,axiom,
    ( X1 != X2
    | c_Event_Oevent_ONotes(X3,X1) = c_Event_Oevent_ONotes(X3,X2) ) ).

cnf(i_0_6279_095,axiom,
    ( X1 != X2
    | c_HOL_Oinverse(X1,X3) = c_HOL_Oinverse(X2,X3) ) ).

cnf(i_0_6280_096,axiom,
    ( X1 != X2
    | c_HOL_Oinverse(X3,X1) = c_HOL_Oinverse(X3,X2) ) ).

cnf(i_0_6281_097,axiom,
    ( X1 != X2
    | c_Binomial_Obinomial(X1,X3) = c_Binomial_Obinomial(X2,X3) ) ).

cnf(i_0_6282_098,axiom,
    ( X1 != X2
    | c_Binomial_Obinomial(X3,X1) = c_Binomial_Obinomial(X3,X2) ) ).

cnf(i_0_6283_099,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThanAtMost(X1,X3,X4) = c_SetInterval_OgreaterThanAtMost(X2,X3,X4) ) ).

cnf(i_0_6284_100,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThanAtMost(X3,X1,X4) = c_SetInterval_OgreaterThanAtMost(X3,X2,X4) ) ).

cnf(i_0_6285_101,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThanAtMost(X3,X4,X1) = c_SetInterval_OgreaterThanAtMost(X3,X4,X2) ) ).

cnf(i_0_6286_102,axiom,
    ( X1 != X2
    | c_HOL_Oabs(X1,X3) = c_HOL_Oabs(X2,X3) ) ).

cnf(i_0_6287_103,axiom,
    ( X1 != X2
    | c_HOL_Oabs(X3,X1) = c_HOL_Oabs(X3,X2) ) ).

cnf(i_0_6288_104,axiom,
    ( X1 != X2
    | c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).

cnf(i_0_6289_105,axiom,
    ( X1 != X2
    | c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).

cnf(i_0_6290_106,axiom,
    ( X1 != X2
    | c_Union(X1,X3) = c_Union(X2,X3) ) ).

cnf(i_0_6291_107,axiom,
    ( X1 != X2
    | c_Union(X3,X1) = c_Union(X3,X2) ) ).

cnf(i_0_6292_108,axiom,
    ( X1 != X2
    | c_List_Olast(X1,X3) = c_List_Olast(X2,X3) ) ).

cnf(i_0_6293_109,axiom,
    ( X1 != X2
    | c_List_Olast(X3,X1) = c_List_Olast(X3,X2) ) ).

cnf(i_0_6294_110,axiom,
    ( X1 != X2
    | c_List_Obutlast(X1,X3) = c_List_Obutlast(X2,X3) ) ).

cnf(i_0_6295_111,axiom,
    ( X1 != X2
    | c_List_Obutlast(X3,X1) = c_List_Obutlast(X3,X2) ) ).

cnf(i_0_6296_112,axiom,
    ( X1 != X2
    | c_IntDef_OAbs__Integ(X1) = c_IntDef_OAbs__Integ(X2) ) ).

cnf(i_0_6297_113,axiom,
    ( X1 != X2
    | c_NatArith_Oof__nat(X1,X3) = c_NatArith_Oof__nat(X2,X3) ) ).

cnf(i_0_6298_114,axiom,
    ( X1 != X2
    | c_NatArith_Oof__nat(X3,X1) = c_NatArith_Oof__nat(X3,X2) ) ).

cnf(i_0_6299_115,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_6300_116,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_6301_117,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_6302_118,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_6303_119,axiom,
    ( X1 != X2
    | c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).

cnf(i_0_6304_120,axiom,
    ( X1 != X2
    | c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).

cnf(i_0_6305_121,axiom,
    ( X1 != X2
    | c_Public_OpublicKey(X1,X3) = c_Public_OpublicKey(X2,X3) ) ).

cnf(i_0_6306_122,axiom,
    ( X1 != X2
    | c_Public_OpublicKey(X3,X1) = c_Public_OpublicKey(X3,X2) ) ).

cnf(i_0_6307_123,axiom,
    ( X1 != X2
    | c_List_Otl(X1,X3) = c_List_Otl(X2,X3) ) ).

cnf(i_0_6308_124,axiom,
    ( X1 != X2
    | c_List_Otl(X3,X1) = c_List_Otl(X3,X2) ) ).

cnf(i_0_6309_125,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__rec(X1,X3,X4,X5) = c_Public_Okeymode_Okeymode__rec(X2,X3,X4,X5) ) ).

cnf(i_0_6310_126,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__rec(X3,X1,X4,X5) = c_Public_Okeymode_Okeymode__rec(X3,X2,X4,X5) ) ).

cnf(i_0_6311_127,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__rec(X3,X4,X1,X5) = c_Public_Okeymode_Okeymode__rec(X3,X4,X2,X5) ) ).

cnf(i_0_6312_128,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__rec(X3,X4,X5,X1) = c_Public_Okeymode_Okeymode__rec(X3,X4,X5,X2) ) ).

cnf(i_0_6313_129,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__case(X1,X3,X4,X5) = c_Public_Okeymode_Okeymode__case(X2,X3,X4,X5) ) ).

cnf(i_0_6314_130,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__case(X3,X1,X4,X5) = c_Public_Okeymode_Okeymode__case(X3,X2,X4,X5) ) ).

cnf(i_0_6315_131,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__case(X3,X4,X1,X5) = c_Public_Okeymode_Okeymode__case(X3,X4,X2,X5) ) ).

cnf(i_0_6316_132,axiom,
    ( X1 != X2
    | c_Public_Okeymode_Okeymode__case(X3,X4,X5,X1) = c_Public_Okeymode_Okeymode__case(X3,X4,X5,X2) ) ).

cnf(i_0_6317_133,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__rec(X1,X3,X4,X5) = c_Numeral_Obit_Obit__rec(X2,X3,X4,X5) ) ).

cnf(i_0_6318_134,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__rec(X3,X1,X4,X5) = c_Numeral_Obit_Obit__rec(X3,X2,X4,X5) ) ).

cnf(i_0_6319_135,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__rec(X3,X4,X1,X5) = c_Numeral_Obit_Obit__rec(X3,X4,X2,X5) ) ).

cnf(i_0_6320_136,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__rec(X3,X4,X5,X1) = c_Numeral_Obit_Obit__rec(X3,X4,X5,X2) ) ).

cnf(i_0_6321_137,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__case(X1,X3,X4,X5) = c_Numeral_Obit_Obit__case(X2,X3,X4,X5) ) ).

cnf(i_0_6322_138,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__case(X3,X1,X4,X5) = c_Numeral_Obit_Obit__case(X3,X2,X4,X5) ) ).

cnf(i_0_6323_139,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__case(X3,X4,X1,X5) = c_Numeral_Obit_Obit__case(X3,X4,X2,X5) ) ).

cnf(i_0_6324_140,axiom,
    ( X1 != X2
    | c_Numeral_Obit_Obit__case(X3,X4,X5,X1) = c_Numeral_Obit_Obit__case(X3,X4,X5,X2) ) ).

cnf(i_0_6325_141,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__rec(X1,X3,X4,X5) = c_Extraction_Osumbool_Osumbool__rec(X2,X3,X4,X5) ) ).

cnf(i_0_6326_142,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__rec(X3,X1,X4,X5) = c_Extraction_Osumbool_Osumbool__rec(X3,X2,X4,X5) ) ).

cnf(i_0_6327_143,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__rec(X3,X4,X1,X5) = c_Extraction_Osumbool_Osumbool__rec(X3,X4,X2,X5) ) ).

cnf(i_0_6328_144,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__rec(X3,X4,X5,X1) = c_Extraction_Osumbool_Osumbool__rec(X3,X4,X5,X2) ) ).

cnf(i_0_6329_145,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__case(X1,X3,X4,X5) = c_Extraction_Osumbool_Osumbool__case(X2,X3,X4,X5) ) ).

cnf(i_0_6330_146,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__case(X3,X1,X4,X5) = c_Extraction_Osumbool_Osumbool__case(X3,X2,X4,X5) ) ).

cnf(i_0_6331_147,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__case(X3,X4,X1,X5) = c_Extraction_Osumbool_Osumbool__case(X3,X4,X2,X5) ) ).

cnf(i_0_6332_148,axiom,
    ( X1 != X2
    | c_Extraction_Osumbool_Osumbool__case(X3,X4,X5,X1) = c_Extraction_Osumbool_Osumbool__case(X3,X4,X5,X2) ) ).

cnf(i_0_6333_149,axiom,
    ( X1 != X2
    | c_List_Orotate(X1,X3,X4) = c_List_Orotate(X2,X3,X4) ) ).

cnf(i_0_6334_150,axiom,
    ( X1 != X2
    | c_List_Orotate(X3,X1,X4) = c_List_Orotate(X3,X2,X4) ) ).

cnf(i_0_6335_151,axiom,
    ( X1 != X2
    | c_List_Orotate(X3,X4,X1) = c_List_Orotate(X3,X4,X2) ) ).

cnf(i_0_6336_152,axiom,
    ( X1 != X2
    | c_List_Orotate1(X1,X3) = c_List_Orotate1(X2,X3) ) ).

cnf(i_0_6337_153,axiom,
    ( X1 != X2
    | c_List_Orotate1(X3,X1) = c_List_Orotate1(X3,X2) ) ).

cnf(i_0_6338_154,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X1,X3) = c_SetInterval_OgreaterThan(X2,X3) ) ).

cnf(i_0_6339_155,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X3,X1) = c_SetInterval_OgreaterThan(X3,X2) ) ).

cnf(i_0_6340_156,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X1,X3) = c_SetInterval_OatLeast(X2,X3) ) ).

cnf(i_0_6341_157,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X3,X1) = c_SetInterval_OatLeast(X3,X2) ) ).

cnf(i_0_6342_158,axiom,
    ( X1 != X2
    | c_List_Oconcat(X1,X3) = c_List_Oconcat(X2,X3) ) ).

cnf(i_0_6343_159,axiom,
    ( X1 != X2
    | c_List_Oconcat(X3,X1) = c_List_Oconcat(X3,X2) ) ).

cnf(i_0_6344_160,axiom,
    ( X1 != X2
    | c_LOrder_Omeet(X1,X3,X4) = c_LOrder_Omeet(X2,X3,X4) ) ).

cnf(i_0_6345_161,axiom,
    ( X1 != X2
    | c_LOrder_Omeet(X3,X1,X4) = c_LOrder_Omeet(X3,X2,X4) ) ).

cnf(i_0_6346_162,axiom,
    ( X1 != X2
    | c_LOrder_Omeet(X3,X4,X1) = c_LOrder_Omeet(X3,X4,X2) ) ).

cnf(i_0_6347_163,axiom,
    ( X1 != X2
    | c_LOrder_Ojoin(X1,X3,X4) = c_LOrder_Ojoin(X2,X3,X4) ) ).

cnf(i_0_6348_164,axiom,
    ( X1 != X2
    | c_LOrder_Ojoin(X3,X1,X4) = c_LOrder_Ojoin(X3,X2,X4) ) ).

cnf(i_0_6349_165,axiom,
    ( X1 != X2
    | c_LOrder_Ojoin(X3,X4,X1) = c_LOrder_Ojoin(X3,X4,X2) ) ).

cnf(i_0_6350_166,axiom,
    ( X1 != X2
    | c_IntDef_Oof__int(X1,X3) = c_IntDef_Oof__int(X2,X3) ) ).

cnf(i_0_6351_167,axiom,
    ( X1 != X2
    | c_IntDef_Oof__int(X3,X1) = c_IntDef_Oof__int(X3,X2) ) ).

cnf(i_0_6352_168,axiom,
    ( X1 != X2
    | c_List_Olistset(X1,X3) = c_List_Olistset(X2,X3) ) ).

cnf(i_0_6353_169,axiom,
    ( X1 != X2
    | c_List_Olistset(X3,X1) = c_List_Olistset(X3,X2) ) ).

cnf(i_0_6354_170,axiom,
    ( X1 != X2
    | c_List_Oset__Cons(X1,X3,X4) = c_List_Oset__Cons(X2,X3,X4) ) ).

cnf(i_0_6355_171,axiom,
    ( X1 != X2
    | c_List_Oset__Cons(X3,X1,X4) = c_List_Oset__Cons(X3,X2,X4) ) ).

cnf(i_0_6356_172,axiom,
    ( X1 != X2
    | c_List_Oset__Cons(X3,X4,X1) = c_List_Oset__Cons(X3,X4,X2) ) ).

cnf(i_0_6357_173,axiom,
    ( X1 != X2
    | c_OrderedGroup_Opprt(X1,X3) = c_OrderedGroup_Opprt(X2,X3) ) ).

cnf(i_0_6358_174,axiom,
    ( X1 != X2
    | c_OrderedGroup_Opprt(X3,X1) = c_OrderedGroup_Opprt(X3,X2) ) ).

cnf(i_0_6359_175,axiom,
    ( X1 != X2
    | c_OrderedGroup_Onprt(X1,X3) = c_OrderedGroup_Onprt(X2,X3) ) ).

cnf(i_0_6360_176,axiom,
    ( X1 != X2
    | c_OrderedGroup_Onprt(X3,X1) = c_OrderedGroup_Onprt(X3,X2) ) ).

cnf(i_0_6361_177,axiom,
    ( X1 != X2
    | c_Message_Omsg_ONumber(X1) = c_Message_Omsg_ONumber(X2) ) ).

cnf(i_0_6362_178,axiom,
    ( X1 != X2
    | c_IntDef_ORep__Integ(X1) = c_IntDef_ORep__Integ(X2) ) ).

cnf(i_0_6363_179,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X1,X3) = c_Datatype_Ooption_OSome(X2,X3) ) ).

cnf(i_0_6364_180,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X3,X1) = c_Datatype_Ooption_OSome(X3,X2) ) ).

cnf(i_0_6365_181,axiom,
    ( X1 != X2
    | c_Datatype_Oo2s(X1,X3) = c_Datatype_Oo2s(X2,X3) ) ).

cnf(i_0_6366_182,axiom,
    ( X1 != X2
    | c_Datatype_Oo2s(X3,X1) = c_Datatype_Oo2s(X3,X2) ) ).

cnf(i_0_6367_183,axiom,
    ( X1 != X2
    | c_Main_Oconcat__eq__Nil__conv__1(X1,X3) = c_Main_Oconcat__eq__Nil__conv__1(X2,X3) ) ).

cnf(i_0_6368_184,axiom,
    ( X1 != X2
    | c_Main_Oconcat__eq__Nil__conv__1(X3,X1) = c_Main_Oconcat__eq__Nil__conv__1(X3,X2) ) ).

cnf(i_0_6369_185,axiom,
    ( X1 != X2
    | c_Main_ONil__eq__concat__conv__1(X1,X3) = c_Main_ONil__eq__concat__conv__1(X2,X3) ) ).

cnf(i_0_6370_186,axiom,
    ( X1 != X2
    | c_Main_ONil__eq__concat__conv__1(X3,X1) = c_Main_ONil__eq__concat__conv__1(X3,X2) ) ).

cnf(i_0_6371_187,axiom,
    ( X1 != X2
    | c_List_Ohd(X1,X3) = c_List_Ohd(X2,X3) ) ).

cnf(i_0_6372_188,axiom,
    ( X1 != X2
    | c_List_Ohd(X3,X1) = c_List_Ohd(X3,X2) ) ).

cnf(i_0_6373_189,axiom,
    ( X1 != X2
    | c_Numeral_Obin__succ(X1) = c_Numeral_Obin__succ(X2) ) ).

cnf(i_0_6374_190,axiom,
    ( X1 != X2
    | c_Set_Ocontents(X1,X3) = c_Set_Ocontents(X2,X3) ) ).

cnf(i_0_6375_191,axiom,
    ( X1 != X2
    | c_Set_Ocontents(X3,X1) = c_Set_Ocontents(X3,X2) ) ).

cnf(i_0_6376_192,axiom,
    ( X1 != X2
    | c_Main_OInter__UNIV__conv__1__1(X1,X3) = c_Main_OInter__UNIV__conv__1__1(X2,X3) ) ).

cnf(i_0_6377_193,axiom,
    ( X1 != X2
    | c_Main_OInter__UNIV__conv__1__1(X3,X1) = c_Main_OInter__UNIV__conv__1__1(X3,X2) ) ).

cnf(i_0_6378_194,axiom,
    ( X1 != X2
    | c_Main_OUnion__empty__conv__1(X1,X3) = c_Main_OUnion__empty__conv__1(X2,X3) ) ).

cnf(i_0_6379_195,axiom,
    ( X1 != X2
    | c_Main_OUnion__empty__conv__1(X3,X1) = c_Main_OUnion__empty__conv__1(X3,X2) ) ).

cnf(i_0_6380_196,axiom,
    ( X1 != X2
    | c_Main_OInter__UNIV__conv__2__1(X1,X3) = c_Main_OInter__UNIV__conv__2__1(X2,X3) ) ).

cnf(i_0_6381_197,axiom,
    ( X1 != X2
    | c_Main_OInter__UNIV__conv__2__1(X3,X1) = c_Main_OInter__UNIV__conv__2__1(X3,X2) ) ).

cnf(i_0_6382_198,axiom,
    ( X1 != X2
    | c_Main_Oempty__Union__conv__1(X1,X3) = c_Main_Oempty__Union__conv__1(X2,X3) ) ).

cnf(i_0_6383_199,axiom,
    ( X1 != X2
    | c_Main_Oempty__Union__conv__1(X3,X1) = c_Main_Oempty__Union__conv__1(X3,X2) ) ).

cnf(i_0_6384_200,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).

cnf(i_0_6385_201,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).

cnf(i_0_6386_202,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).

cnf(i_0_6387_203,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6388_204,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6389_205,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6390_206,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6391_207,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6392_208,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6393_209,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6394_210,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6395_211,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6396_212,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1,X12,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2,X12,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6397_213,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X1,X13,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X2,X13,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6398_214,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X1,X14,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X2,X14,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6399_215,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X1,X15,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X2,X15,X16,X17,X18,X19) ) ).

cnf(i_0_6400_216,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X1,X16,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X2,X16,X17,X18,X19) ) ).

cnf(i_0_6401_217,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X1,X17,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X2,X17,X18,X19) ) ).

cnf(i_0_6402_218,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X1,X18,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X2,X18,X19) ) ).

cnf(i_0_6403_219,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X1,X19) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X2,X19) ) ).

cnf(i_0_6404_220,axiom,
    ( X1 != X2
    | c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1) = c_List_Onibble_Onibble__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X2) ) ).

cnf(i_0_6405_221,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X1,X3,X4,X5,X6) = c_Relation_Orel__comp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_6406_222,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X1,X4,X5,X6) = c_Relation_Orel__comp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_6407_223,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X1,X5,X6) = c_Relation_Orel__comp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_6408_224,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X5,X1,X6) = c_Relation_Orel__comp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_6409_225,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X5,X6,X1) = c_Relation_Orel__comp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_6410_226,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__rec(X1,X3,X4) = c_Datatype_Ounit_Ounit__rec(X2,X3,X4) ) ).

cnf(i_0_6411_227,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__rec(X3,X1,X4) = c_Datatype_Ounit_Ounit__rec(X3,X2,X4) ) ).

cnf(i_0_6412_228,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__rec(X3,X4,X1) = c_Datatype_Ounit_Ounit__rec(X3,X4,X2) ) ).

cnf(i_0_6413_229,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__case(X1,X3,X4) = c_Datatype_Ounit_Ounit__case(X2,X3,X4) ) ).

cnf(i_0_6414_230,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__case(X3,X1,X4) = c_Datatype_Ounit_Ounit__case(X3,X2,X4) ) ).

cnf(i_0_6415_231,axiom,
    ( X1 != X2
    | c_Datatype_Ounit_Ounit__case(X3,X4,X1) = c_Datatype_Ounit_Ounit__case(X3,X4,X2) ) ).

cnf(i_0_6416_232,axiom,
    ( X1 != X2
    | c_List_Olexn(X1,X3,X4) = c_List_Olexn(X2,X3,X4) ) ).

cnf(i_0_6417_233,axiom,
    ( X1 != X2
    | c_List_Olexn(X3,X1,X4) = c_List_Olexn(X3,X2,X4) ) ).

cnf(i_0_6418_234,axiom,
    ( X1 != X2
    | c_List_Olexn(X3,X4,X1) = c_List_Olexn(X3,X4,X2) ) ).

cnf(i_0_6419_235,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X1,X3) = c_List_Ochar_OChar(X2,X3) ) ).

cnf(i_0_6420_236,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X3,X1) = c_List_Ochar_OChar(X3,X2) ) ).

cnf(i_0_6421_237,axiom,
    ( X1 != X2
    | c_Datatype_Othe(X1,X3) = c_Datatype_Othe(X2,X3) ) ).

cnf(i_0_6422_238,axiom,
    ( X1 != X2
    | c_Datatype_Othe(X3,X1) = c_Datatype_Othe(X3,X2) ) ).

cnf(i_0_6423_239,axiom,
    ( X1 != X2
    | c_Message_Oagent_OFriend(X1) = c_Message_Oagent_OFriend(X2) ) ).

cnf(i_0_6424_240,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) = c_Datatype__Universe_OScons(X2,X3,X4,X5) ) ).

cnf(i_0_6425_241,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) = c_Datatype__Universe_OScons(X3,X2,X4,X5) ) ).

cnf(i_0_6426_242,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X1,X5) = c_Datatype__Universe_OScons(X3,X4,X2,X5) ) ).

cnf(i_0_6427_243,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X5,X1) = c_Datatype__Universe_OScons(X3,X4,X5,X2) ) ).

cnf(i_0_6428_244,axiom,
    ( X1 != X2
    | c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).

cnf(i_0_6429_245,axiom,
    ( X1 != X2
    | c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).

cnf(i_0_6430_246,axiom,
    ( X1 != X2
    | c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).

cnf(i_0_6431_247,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).

cnf(i_0_6432_248,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).

cnf(i_0_6433_249,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).

cnf(i_0_6434_250,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) = c_Datatype__Universe_OIn1(X2,X3,X4) ) ).

cnf(i_0_6435_251,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X1,X4) = c_Datatype__Universe_OIn1(X3,X2,X4) ) ).

cnf(i_0_6436_252,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X4,X1) = c_Datatype__Universe_OIn1(X3,X4,X2) ) ).

cnf(i_0_6437_253,axiom,
    ( X1 != X2
    | c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).

cnf(i_0_6438_254,axiom,
    ( X1 != X2
    | c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).

cnf(i_0_6439_255,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) = c_Datatype__Universe_OIn0(X2,X3,X4) ) ).

cnf(i_0_6440_256,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X1,X4) = c_Datatype__Universe_OIn0(X3,X2,X4) ) ).

cnf(i_0_6441_257,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X4,X1) = c_Datatype__Universe_OIn0(X3,X4,X2) ) ).

cnf(i_0_6442_258,axiom,
    ( X1 != X2
    | c_Relation_OImage(X1,X3,X4,X5) = c_Relation_OImage(X2,X3,X4,X5) ) ).

cnf(i_0_6443_259,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X1,X4,X5) = c_Relation_OImage(X3,X2,X4,X5) ) ).

cnf(i_0_6444_260,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X4,X1,X5) = c_Relation_OImage(X3,X4,X2,X5) ) ).

cnf(i_0_6445_261,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X4,X5,X1) = c_Relation_OImage(X3,X4,X5,X2) ) ).

cnf(i_0_6446_262,axiom,
    ( X1 != X2
    | c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).

cnf(i_0_6447_263,axiom,
    ( X1 != X2
    | c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).

cnf(i_0_6448_264,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ouprod(X1,X3,X4,X5) = c_Datatype__Universe_Ouprod(X2,X3,X4,X5) ) ).

cnf(i_0_6449_265,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ouprod(X3,X1,X4,X5) = c_Datatype__Universe_Ouprod(X3,X2,X4,X5) ) ).

cnf(i_0_6450_266,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ouprod(X3,X4,X1,X5) = c_Datatype__Universe_Ouprod(X3,X4,X2,X5) ) ).

cnf(i_0_6451_267,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ouprod(X3,X4,X5,X1) = c_Datatype__Universe_Ouprod(X3,X4,X5,X2) ) ).

cnf(i_0_6452_268,axiom,
    ( X1 != X2
    | c_plus(X1,X3,X4) = c_plus(X2,X3,X4) ) ).

cnf(i_0_6453_269,axiom,
    ( X1 != X2
    | c_plus(X3,X1,X4) = c_plus(X3,X2,X4) ) ).

cnf(i_0_6454_270,axiom,
    ( X1 != X2
    | c_plus(X3,X4,X1) = c_plus(X3,X4,X2) ) ).

cnf(i_0_6455_271,axiom,
    ( X1 != X2
    | c_Numeral_Onumber__of(X1,X3) = c_Numeral_Onumber__of(X2,X3) ) ).

cnf(i_0_6456_272,axiom,
    ( X1 != X2
    | c_Numeral_Onumber__of(X3,X1) = c_Numeral_Onumber__of(X3,X2) ) ).

cnf(i_0_6457_273,axiom,
    ( X1 != X2
    | c_IntDiv_OnegDivAlg(X1) = c_IntDiv_OnegDivAlg(X2) ) ).

cnf(i_0_6458_274,axiom,
    ( X1 != X2
    | c_IntDiv_Oadjust(X1,X3) = c_IntDiv_Oadjust(X2,X3) ) ).

cnf(i_0_6459_275,axiom,
    ( X1 != X2
    | c_IntDiv_Oadjust(X3,X1) = c_IntDiv_Oadjust(X3,X2) ) ).

cnf(i_0_6460_276,axiom,
    ( X1 != X2
    | c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).

cnf(i_0_6461_277,axiom,
    ( X1 != X2
    | c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).

cnf(i_0_6462_278,axiom,
    ( X1 != X2
    | c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).

cnf(i_0_6463_279,axiom,
    ( X1 != X2
    | c_Numeral_OBit(X1,X3) = c_Numeral_OBit(X2,X3) ) ).

cnf(i_0_6464_280,axiom,
    ( X1 != X2
    | c_Numeral_OBit(X3,X1) = c_Numeral_OBit(X3,X2) ) ).

cnf(i_0_6465_281,axiom,
    ( X1 != X2
    | c_IntDiv_OposDivAlg(X1) = c_IntDiv_OposDivAlg(X2) ) ).

cnf(i_0_6466_282,axiom,
    ( X1 != X2
    | c_div(X1,X3,X4) = c_div(X2,X3,X4) ) ).

cnf(i_0_6467_283,axiom,
    ( X1 != X2
    | c_div(X3,X1,X4) = c_div(X3,X2,X4) ) ).

cnf(i_0_6468_284,axiom,
    ( X1 != X2
    | c_div(X3,X4,X1) = c_div(X3,X4,X2) ) ).

cnf(i_0_6469_285,axiom,
    ( X1 != X2
    | c_fst(X1,X3,X4) = c_fst(X2,X3,X4) ) ).

cnf(i_0_6470_286,axiom,
    ( X1 != X2
    | c_fst(X3,X1,X4) = c_fst(X3,X2,X4) ) ).

cnf(i_0_6471_287,axiom,
    ( X1 != X2
    | c_fst(X3,X4,X1) = c_fst(X3,X4,X2) ) ).

cnf(i_0_6472_288,axiom,
    ( X1 != X2
    | c_Public_OshrK(X1) = c_Public_OshrK(X2) ) ).

cnf(i_0_6473_289,axiom,
    ( X1 != X2
    | c_IntDiv_OnegateSnd(X1) = c_IntDiv_OnegateSnd(X2) ) ).

cnf(i_0_6474_290,axiom,
    ( X1 != X2
    | c_uminus(X1,X3) = c_uminus(X2,X3) ) ).

cnf(i_0_6475_291,axiom,
    ( X1 != X2
    | c_uminus(X3,X1) = c_uminus(X3,X2) ) ).

cnf(i_0_6476_292,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X1,X3,X4) = c_Divides_Oop_Amod(X2,X3,X4) ) ).

cnf(i_0_6477_293,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X1,X4) = c_Divides_Oop_Amod(X3,X2,X4) ) ).

cnf(i_0_6478_294,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X4,X1) = c_Divides_Oop_Amod(X3,X4,X2) ) ).

cnf(i_0_6479_295,axiom,
    ( X1 != X2
    | c_snd(X1,X3,X4) = c_snd(X2,X3,X4) ) ).

cnf(i_0_6480_296,axiom,
    ( X1 != X2
    | c_snd(X3,X1,X4) = c_snd(X3,X2,X4) ) ).

cnf(i_0_6481_297,axiom,
    ( X1 != X2
    | c_snd(X3,X4,X1) = c_snd(X3,X4,X2) ) ).

cnf(i_0_6482_298,axiom,
    ( X1 != X2
    | c_insert(X1,X3,X4) = c_insert(X2,X3,X4) ) ).

cnf(i_0_6483_299,axiom,
    ( X1 != X2
    | c_insert(X3,X1,X4) = c_insert(X3,X2,X4) ) ).

cnf(i_0_6484_300,axiom,
    ( X1 != X2
    | c_insert(X3,X4,X1) = c_insert(X3,X4,X2) ) ).

cnf(i_0_6485_301,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Otrancl(X1,X3) = c_Transitive__Closure_Otrancl(X2,X3) ) ).

cnf(i_0_6486_302,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Otrancl(X3,X1) = c_Transitive__Closure_Otrancl(X3,X2) ) ).

cnf(i_0_6487_303,axiom,
    ( X1 != X2
    | c_union(X1,X3,X4) = c_union(X2,X3,X4) ) ).

cnf(i_0_6488_304,axiom,
    ( X1 != X2
    | c_union(X3,X1,X4) = c_union(X3,X2,X4) ) ).

cnf(i_0_6489_305,axiom,
    ( X1 != X2
    | c_union(X3,X4,X1) = c_union(X3,X4,X2) ) ).

cnf(i_0_6490_306,axiom,
    ( X1 != X2
    | c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).

cnf(i_0_6491_307,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).

cnf(i_0_6492_308,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).

cnf(i_0_6493_309,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).

cnf(i_0_6494_310,axiom,
    ( X1 != X2
    | c_Nat_Osize(X1,X3) = c_Nat_Osize(X2,X3) ) ).

cnf(i_0_6495_311,axiom,
    ( X1 != X2
    | c_Nat_Osize(X3,X1) = c_Nat_Osize(X3,X2) ) ).

cnf(i_0_6496_312,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ousum(X1,X3,X4,X5) = c_Datatype__Universe_Ousum(X2,X3,X4,X5) ) ).

cnf(i_0_6497_313,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ousum(X3,X1,X4,X5) = c_Datatype__Universe_Ousum(X3,X2,X4,X5) ) ).

cnf(i_0_6498_314,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ousum(X3,X4,X1,X5) = c_Datatype__Universe_Ousum(X3,X4,X2,X5) ) ).

cnf(i_0_6499_315,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ousum(X3,X4,X5,X1) = c_Datatype__Universe_Ousum(X3,X4,X5,X2) ) ).

cnf(i_0_6500_316,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ontrunc(X1,X3,X4,X5) = c_Datatype__Universe_Ontrunc(X2,X3,X4,X5) ) ).

cnf(i_0_6501_317,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ontrunc(X3,X1,X4,X5) = c_Datatype__Universe_Ontrunc(X3,X2,X4,X5) ) ).

cnf(i_0_6502_318,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ontrunc(X3,X4,X1,X5) = c_Datatype__Universe_Ontrunc(X3,X4,X2,X5) ) ).

cnf(i_0_6503_319,axiom,
    ( X1 != X2
    | c_Datatype__Universe_Ontrunc(X3,X4,X5,X1) = c_Datatype__Universe_Ontrunc(X3,X4,X5,X2) ) ).

cnf(i_0_6504_320,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).

cnf(i_0_6505_321,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).

cnf(i_0_6506_322,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X1,X3) = c_SetInterval_OatMost(X2,X3) ) ).

cnf(i_0_6507_323,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X3,X1) = c_SetInterval_OatMost(X3,X2) ) ).

cnf(i_0_6508_324,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X1,X3,X4) = c_Sum__Type_OInl(X2,X3,X4) ) ).

cnf(i_0_6509_325,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X1,X4) = c_Sum__Type_OInl(X3,X2,X4) ) ).

cnf(i_0_6510_326,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X4,X1) = c_Sum__Type_OInl(X3,X4,X2) ) ).

cnf(i_0_6511_327,axiom,
    ( X1 != X2
    | c_Message_Omsg_OKey(X1) = c_Message_Omsg_OKey(X2) ) ).

cnf(i_0_6512_328,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X1,X3,X4) = c_Sum__Type_OInr(X2,X3,X4) ) ).

cnf(i_0_6513_329,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X1,X4) = c_Sum__Type_OInr(X3,X2,X4) ) ).

cnf(i_0_6514_330,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X4,X1) = c_Sum__Type_OInr(X3,X4,X2) ) ).

cnf(i_0_6515_331,axiom,
    ( X1 != X2
    | c_Sum__Type_OPlus(X1,X3,X4,X5) = c_Sum__Type_OPlus(X2,X3,X4,X5) ) ).

cnf(i_0_6516_332,axiom,
    ( X1 != X2
    | c_Sum__Type_OPlus(X3,X1,X4,X5) = c_Sum__Type_OPlus(X3,X2,X4,X5) ) ).

cnf(i_0_6517_333,axiom,
    ( X1 != X2
    | c_Sum__Type_OPlus(X3,X4,X1,X5) = c_Sum__Type_OPlus(X3,X4,X2,X5) ) ).

cnf(i_0_6518_334,axiom,
    ( X1 != X2
    | c_Sum__Type_OPlus(X3,X4,X5,X1) = c_Sum__Type_OPlus(X3,X4,X5,X2) ) ).

cnf(i_0_6519_335,axiom,
    ( X1 != X2
    | c_Relation_ORange(X1,X3,X4) = c_Relation_ORange(X2,X3,X4) ) ).

cnf(i_0_6520_336,axiom,
    ( X1 != X2
    | c_Relation_ORange(X3,X1,X4) = c_Relation_ORange(X3,X2,X4) ) ).

cnf(i_0_6521_337,axiom,
    ( X1 != X2
    | c_Relation_ORange(X3,X4,X1) = c_Relation_ORange(X3,X4,X2) ) ).

cnf(i_0_6522_338,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X1,X3,X4) = c_Relation_ODomain(X2,X3,X4) ) ).

cnf(i_0_6523_339,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X1,X4) = c_Relation_ODomain(X3,X2,X4) ) ).

cnf(i_0_6524_340,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X4,X1) = c_Relation_ODomain(X3,X4,X2) ) ).

cnf(i_0_6525_341,axiom,
    ( X1 != X2
    | c_GCD_Ogcd(X1) = c_GCD_Ogcd(X2) ) ).

cnf(i_0_6526_342,axiom,
    ( X1 != X2
    | c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).

cnf(i_0_6527_343,axiom,
    ( X1 != X2
    | c_List_Ozip(X1,X3,X4,X5) = c_List_Ozip(X2,X3,X4,X5) ) ).

cnf(i_0_6528_344,axiom,
    ( X1 != X2
    | c_List_Ozip(X3,X1,X4,X5) = c_List_Ozip(X3,X2,X4,X5) ) ).

cnf(i_0_6529_345,axiom,
    ( X1 != X2
    | c_List_Ozip(X3,X4,X1,X5) = c_List_Ozip(X3,X4,X2,X5) ) ).

cnf(i_0_6530_346,axiom,
    ( X1 != X2
    | c_List_Ozip(X3,X4,X5,X1) = c_List_Ozip(X3,X4,X5,X2) ) ).

cnf(i_0_6531_347,axiom,
    ( X1 != X2
    | c_append(X1,X3,X4) = c_append(X2,X3,X4) ) ).

cnf(i_0_6532_348,axiom,
    ( X1 != X2
    | c_append(X3,X1,X4) = c_append(X3,X2,X4) ) ).

cnf(i_0_6533_349,axiom,
    ( X1 != X2
    | c_append(X3,X4,X1) = c_append(X3,X4,X2) ) ).

cnf(i_0_6534_350,axiom,
    ( X1 != X2
    | c_Nat_Opower(X1,X3,X4) = c_Nat_Opower(X2,X3,X4) ) ).

cnf(i_0_6535_351,axiom,
    ( X1 != X2
    | c_Nat_Opower(X3,X1,X4) = c_Nat_Opower(X3,X2,X4) ) ).

cnf(i_0_6536_352,axiom,
    ( X1 != X2
    | c_Nat_Opower(X3,X4,X1) = c_Nat_Opower(X3,X4,X2) ) ).

cnf(i_0_6537_353,axiom,
    ( X1 != X2
    | c_Map_Omap__of(X1,X3,X4,X5) = c_Map_Omap__of(X2,X3,X4,X5) ) ).

cnf(i_0_6538_354,axiom,
    ( X1 != X2
    | c_Map_Omap__of(X3,X1,X4,X5) = c_Map_Omap__of(X3,X2,X4,X5) ) ).

cnf(i_0_6539_355,axiom,
    ( X1 != X2
    | c_Map_Omap__of(X3,X4,X1,X5) = c_Map_Omap__of(X3,X4,X2,X5) ) ).

cnf(i_0_6540_356,axiom,
    ( X1 != X2
    | c_Map_Omap__of(X3,X4,X5,X1) = c_Map_Omap__of(X3,X4,X5,X2) ) ).

cnf(i_0_6541_357,axiom,
    ( X1 != X2
    | c_List_Onth(X1,X3,X4) = c_List_Onth(X2,X3,X4) ) ).

cnf(i_0_6542_358,axiom,
    ( X1 != X2
    | c_List_Onth(X3,X1,X4) = c_List_Onth(X3,X2,X4) ) ).

cnf(i_0_6543_359,axiom,
    ( X1 != X2
    | c_List_Onth(X3,X4,X1) = c_List_Onth(X3,X4,X2) ) ).

cnf(i_0_6544_360,axiom,
    ( X1 != X2
    | c_List_Osublist(X1,X3,X4) = c_List_Osublist(X2,X3,X4) ) ).

cnf(i_0_6545_361,axiom,
    ( X1 != X2
    | c_List_Osublist(X3,X1,X4) = c_List_Osublist(X3,X2,X4) ) ).

cnf(i_0_6546_362,axiom,
    ( X1 != X2
    | c_List_Osublist(X3,X4,X1) = c_List_Osublist(X3,X4,X2) ) ).

cnf(i_0_6547_363,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X1,X3) = c_SetInterval_OlessThan(X2,X3) ) ).

cnf(i_0_6548_364,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X3,X1) = c_SetInterval_OlessThan(X3,X2) ) ).

cnf(i_0_6549_365,axiom,
    ( X1 != X2
    | c_minus(X1,X3,X4) = c_minus(X2,X3,X4) ) ).

cnf(i_0_6550_366,axiom,
    ( X1 != X2
    | c_minus(X3,X1,X4) = c_minus(X3,X2,X4) ) ).

cnf(i_0_6551_367,axiom,
    ( X1 != X2
    | c_minus(X3,X4,X1) = c_minus(X3,X4,X2) ) ).

cnf(i_0_6552_368,axiom,
    ( X1 != X2
    | c_Message_Oanalz(X1) = c_Message_Oanalz(X2) ) ).

cnf(i_0_6553_369,axiom,
    ( X1 != X2
    | c_Message_Omsg_OHash(X1) = c_Message_Omsg_OHash(X2) ) ).

cnf(i_0_6554_370,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_6555_371,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_6556_372,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_6557_373,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_6558_374,axiom,
    ( X1 != X2
    | ~ class_Power_Orecpower(X1)
    | class_Power_Orecpower(X2) ) ).

cnf(i_0_6559_375,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X2) ) ).

cnf(i_0_6560_376,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X2) ) ).

cnf(i_0_6561_377,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(X2,X3) ) ).

cnf(i_0_6562_378,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X3,X1)
    | c_List_Odistinct(X3,X2) ) ).

cnf(i_0_6563_379,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_6564_380,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber__ring(X2) ) ).

cnf(i_0_6565_381,axiom,
    ( X1 != X2
    | ~ c_IntDef_Oneg(X1,X3)
    | c_IntDef_Oneg(X2,X3) ) ).

cnf(i_0_6566_382,axiom,
    ( X1 != X2
    | ~ c_IntDef_Oneg(X3,X1)
    | c_IntDef_Oneg(X3,X2) ) ).

cnf(i_0_6567_383,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(X2,X3) ) ).

cnf(i_0_6568_384,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X3,X1)
    | c_Relation_Otrans(X3,X2) ) ).

cnf(i_0_6569_385,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_6570_386,axiom,
    ( X1 != X2
    | ~ c_Yahalom_OKeyWithNonce(X1,X3,X4)
    | c_Yahalom_OKeyWithNonce(X2,X3,X4) ) ).

cnf(i_0_6571_387,axiom,
    ( X1 != X2
    | ~ c_Yahalom_OKeyWithNonce(X3,X1,X4)
    | c_Yahalom_OKeyWithNonce(X3,X2,X4) ) ).

cnf(i_0_6572_388,axiom,
    ( X1 != X2
    | ~ c_Yahalom_OKeyWithNonce(X3,X4,X1)
    | c_Yahalom_OKeyWithNonce(X3,X4,X2) ) ).

cnf(i_0_6573_389,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_6574_390,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring(X1)
    | class_Ring__and__Field_Osemiring(X2) ) ).

cnf(i_0_6575_391,axiom,
    ( X1 != X2
    | ~ c_IntDef_Oiszero(X1,X3)
    | c_IntDef_Oiszero(X2,X3) ) ).

cnf(i_0_6576_392,axiom,
    ( X1 != X2
    | ~ c_IntDef_Oiszero(X3,X1)
    | c_IntDef_Oiszero(X3,X2) ) ).

cnf(i_0_6577_393,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_6578_394,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_6579_395,axiom,
    ( X1 != X2
    | ~ c_Parity_Oeven(X1,X3)
    | c_Parity_Oeven(X2,X3) ) ).

cnf(i_0_6580_396,axiom,
    ( X1 != X2
    | ~ c_Parity_Oeven(X3,X1)
    | c_Parity_Oeven(X3,X2) ) ).

cnf(i_0_6581_397,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_6582_398,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_6583_399,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X2) ) ).

cnf(i_0_6584_400,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ) ).

cnf(i_0_6585_401,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_6586_402,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_6587_403,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_6588_404,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_6589_405,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Olordered__ab__group(X2) ) ).

cnf(i_0_6590_406,axiom,
    ( X1 != X2
    | ~ c_List_Oop_Amem(X1,X3,X4)
    | c_List_Oop_Amem(X2,X3,X4) ) ).

cnf(i_0_6591_407,axiom,
    ( X1 != X2
    | ~ c_List_Oop_Amem(X3,X1,X4)
    | c_List_Oop_Amem(X3,X2,X4) ) ).

cnf(i_0_6592_408,axiom,
    ( X1 != X2
    | ~ c_List_Oop_Amem(X3,X4,X1)
    | c_List_Oop_Amem(X3,X4,X2) ) ).

cnf(i_0_6593_409,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_6594_410,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_6595_411,axiom,
    ( X1 != X2
    | ~ class_HOL_Oone(X1)
    | class_HOL_Oone(X2) ) ).

cnf(i_0_6596_412,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X1,X3)
    | c_Infinite__Set_Oatmost__one(X2,X3) ) ).

cnf(i_0_6597_413,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X3,X1)
    | c_Infinite__Set_Oatmost__one(X3,X2) ) ).

cnf(i_0_6598_414,axiom,
    ( X1 != X2
    | ~ c_List_Onull(X1,X3)
    | c_List_Onull(X2,X3) ) ).

cnf(i_0_6599_415,axiom,
    ( X1 != X2
    | ~ c_List_Onull(X3,X1)
    | c_List_Onull(X3,X2) ) ).

cnf(i_0_6600_416,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_6601_417,axiom,
    ( X1 != X2
    | ~ class_LOrder_Omeet__semilorder(X1)
    | class_LOrder_Omeet__semilorder(X2) ) ).

cnf(i_0_6602_418,axiom,
    ( X1 != X2
    | ~ c_less(X1,X3,X4)
    | c_less(X2,X3,X4) ) ).

cnf(i_0_6603_419,axiom,
    ( X1 != X2
    | ~ c_less(X3,X1,X4)
    | c_less(X3,X2,X4) ) ).

cnf(i_0_6604_420,axiom,
    ( X1 != X2
    | ~ c_less(X3,X4,X1)
    | c_less(X3,X4,X2) ) ).

cnf(i_0_6605_421,axiom,
    ( X1 != X2
    | ~ class_LOrder_Ojoin__semilorder(X1)
    | class_LOrder_Ojoin__semilorder(X2) ) ).

cnf(i_0_6606_422,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_6607_423,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_6608_424,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X2) ) ).

cnf(i_0_6609_425,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(X2) ) ).

cnf(i_0_6610_426,axiom,
    ( X1 != X2
    | ~ class_Nat_Opower(X1)
    | class_Nat_Opower(X2) ) ).

cnf(i_0_6611_427,axiom,
    ( X1 != X2
    | ~ class_HOL_Oinverse(X1)
    | class_HOL_Oinverse(X2) ) ).

cnf(i_0_6612_428,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X2) ) ).

cnf(i_0_6613_429,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Opordered__comm__ring(X2) ) ).

cnf(i_0_6614_430,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_6615_431,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X3)
    | c_Wellfounded__Recursion_Oacyclic(X2,X3) ) ).

cnf(i_0_6616_432,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X3,X1)
    | c_Wellfounded__Recursion_Oacyclic(X3,X2) ) ).

cnf(i_0_6617_433,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).

cnf(i_0_6618_434,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X2) ) ).

cnf(i_0_6619_435,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X2) ) ).

cnf(i_0_6620_436,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_6621_437,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_6622_438,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(X2) ) ).

cnf(i_0_6623_439,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X2) ) ).

cnf(i_0_6624_440,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X2) ) ).

cnf(i_0_6625_441,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X2) ) ).

cnf(i_0_6626_442,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X2) ) ).

cnf(i_0_6627_443,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | c_Wellfounded__Recursion_Owf(X2,X3) ) ).

cnf(i_0_6628_444,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X3,X1)
    | c_Wellfounded__Recursion_Owf(X3,X2) ) ).

cnf(i_0_6629_445,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Olordered__ring(X2) ) ).

cnf(i_0_6630_446,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X2) ) ).

cnf(i_0_6631_447,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).

cnf(i_0_6632_448,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).

cnf(i_0_6633_449,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X2) ) ).

cnf(i_0_6634_450,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring__1(X2) ) ).

cnf(i_0_6635_451,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X2) ) ).

cnf(i_0_6636_452,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X2) ) ).

cnf(i_0_6637_453,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X2) ) ).

cnf(i_0_6638_454,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_6639_455,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X1,X3,X4)
    | c_Divides_Oop_Advd(X2,X3,X4) ) ).

cnf(i_0_6640_456,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X1,X4)
    | c_Divides_Oop_Advd(X3,X2,X4) ) ).

cnf(i_0_6641_457,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X4,X1)
    | c_Divides_Oop_Advd(X3,X4,X2) ) ).

cnf(i_0_6642_458,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X2) ) ).

cnf(i_0_6643_459,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X2) ) ).

cnf(i_0_6644_460,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_6645_461,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_6646_462,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_6647_463,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_6648_464,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X2) ) ).

cnf(i_0_6649_465,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X2) ) ).

cnf(i_0_6650_466,axiom,
    ( X1 != X2
    | ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Wellfounded__Recursion_Owellorder(X2) ) ).

cnf(i_0_6651_467,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X2) ) ).

cnf(i_0_6652_468,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber(X1)
    | class_Numeral_Onumber(X2) ) ).

cnf(i_0_6653_469,axiom,
    ( X1 != X2
    | ~ class_LOrder_Olorder(X1)
    | class_LOrder_Olorder(X2) ) ).

cnf(i_0_6654_470,axiom,
    ( X1 != X2
    | ~ class_HOL_Ozero(X1)
    | class_HOL_Ozero(X2) ) ).

cnf(i_0_6655_471,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X2) ) ).

cnf(i_0_6656_472,axiom,
    ( X1 != X2
    | ~ class_HOL_Otimes(X1)
    | class_HOL_Otimes(X2) ) ).

cnf(i_0_6657_473,axiom,
    ( X1 != X2
    | ~ class_HOL_Oplus(X1)
    | class_HOL_Oplus(X2) ) ).

cnf(i_0_6658_474,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_6659_475,axiom,
    ( X1 != X2
    | ~ class_Parity_Oeven__odd(X1)
    | class_Parity_Oeven__odd(X2) ) ).

cnf(i_0_6660_476,axiom,
    ( X1 != X2
    | ~ class_Divides_Odiv(X1)
    | class_Divides_Odiv(X2) ) ).

cnf(i_0_6661_477,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_6662,plain,
    c_in(c_Pair(c_Pair(X1,X2,tc_nat,tc_nat),c_Pair(X1,X2,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))),
    inference(equality_inference,[],[3310]) ).

cnf(i_0_6663,plain,
    c_in(c_Pair(X1,X1,tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),c_IntDef_Ointrel,tc_prod(tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))),
    inference(equality_inference,[],[3322]) ).

cnf(i_0_6664,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(c_List_Olist_OCons(X1,X5,X3),c_List_Olist_OCons(X2,X5,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))) ),
    inference(equality_inference,[],[3326]) ).

cnf(i_0_6665,plain,
    ( c_in(X1,c_List_Oset(X2,X3),X3)
    | c_Map_Omap__of(c_List_Ozip(X2,X2,X3,X3),X1,X3,X3) = c_Datatype_Ooption_ONone ),
    inference(equality_inference,[],[3425]) ).

cnf(i_0_6666,plain,
    X1 = X1,
    inference(equality_inference,[],[3440]) ).

cnf(i_0_6667,plain,
    X1 = X1,
    inference(equality_inference,[],[3441]) ).

cnf(i_0_6668,plain,
    X1 = X1,
    inference(equality_inference,[],[3442]) ).

cnf(i_0_6669,plain,
    X1 = X1,
    inference(equality_inference,[],[3443]) ).

cnf(i_0_6670,plain,
    X1 = X1,
    inference(equality_inference,[],[3572]) ).

cnf(i_0_6671,plain,
    X1 = X1,
    inference(equality_inference,[],[3573]) ).

cnf(i_0_6672,plain,
    c_lessequals(c_emptyset,c_insert(X1,c_emptyset,X2),tc_set(X2)),
    inference(equality_inference,[],[3829]) ).

cnf(i_0_6673,plain,
    c_lessequals(c_emptyset,c_insert(X1,c_emptyset,X2),tc_set(X2)),
    inference(equality_inference,[],[3830]) ).

cnf(i_0_6674,plain,
    ( X1 = X1
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(equality_inference,[],[3843]) ).

cnf(i_0_6675,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__mult(c_Numeral_OMin,X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(equality_inference,[],[3940]) ).

cnf(i_0_6676,plain,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | X2 = X2
    | ~ class_Power_Orecpower(X1)
    | ~ c_less(c_1,X3,X1) ),
    inference(equality_inference,[],[3987]) ).

cnf(i_0_6677,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__mult(c_Numeral_OMin,X2)),X1),X1) ),
    inference(equality_inference,[],[4094]) ).

cnf(i_0_6678,plain,
    X1 = X1,
    inference(equality_inference,[],[4115]) ).

cnf(i_0_6679,plain,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | X2 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | X3 = c_0 ),
    inference(equality_inference,[],[4254]) ).

cnf(i_0_6680,plain,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | X2 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | X3 = c_0 ),
    inference(equality_inference,[],[4255]) ).

cnf(i_0_6681,plain,
    ( X1 = X1
    | ~ class_Ring__and__Field_Ofield(X2)
    | X3 = c_0 ),
    inference(equality_inference,[],[4285]) ).

cnf(i_0_6682,plain,
    ( X1 = X1
    | ~ class_Ring__and__Field_Ofield(X2)
    | X3 = c_0 ),
    inference(equality_inference,[],[4286]) ).

cnf(i_0_6683,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[4289]) ).

cnf(i_0_6684,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[4290]) ).

cnf(i_0_6685,plain,
    X1 = X1,
    inference(equality_inference,[],[4319]) ).

cnf(i_0_6686,plain,
    X1 = X1,
    inference(equality_inference,[],[4320]) ).

cnf(i_0_6687,plain,
    X1 = X1,
    inference(equality_inference,[],[4321]) ).

cnf(i_0_6688,plain,
    X1 = X1,
    inference(equality_inference,[],[4322]) ).

cnf(i_0_6689,plain,
    X1 = X1,
    inference(equality_inference,[],[4323]) ).

cnf(i_0_6690,plain,
    X1 = X1,
    inference(equality_inference,[],[4324]) ).

cnf(i_0_6691,plain,
    X1 = X1,
    inference(equality_inference,[],[4325]) ).

cnf(i_0_6692,plain,
    X1 = X1,
    inference(equality_inference,[],[4326]) ).

cnf(i_0_6693,plain,
    X1 = X1,
    inference(equality_inference,[],[4327]) ).

cnf(i_0_6694,plain,
    X1 = X1,
    inference(equality_inference,[],[4328]) ).

cnf(i_0_6695,plain,
    X1 = X1,
    inference(equality_inference,[],[4329]) ).

cnf(i_0_6696,plain,
    X1 = X1,
    inference(equality_inference,[],[4330]) ).

cnf(i_0_6697,plain,
    X1 = X1,
    inference(equality_inference,[],[4331]) ).

cnf(i_0_6698,plain,
    X1 = X1,
    inference(equality_inference,[],[4332]) ).

cnf(i_0_6699,plain,
    X1 = X1,
    inference(equality_inference,[],[4357]) ).

cnf(i_0_6700,plain,
    X1 = X1,
    inference(equality_inference,[],[4358]) ).

cnf(i_0_6701,plain,
    ( X1 = X1
    | X2 = c_0 ),
    inference(equality_inference,[],[4369]) ).

cnf(i_0_6702,plain,
    ( X1 = X1
    | X2 = c_0 ),
    inference(equality_inference,[],[4370]) ).

cnf(i_0_6703,plain,
    X1 = X1,
    inference(equality_inference,[],[4377]) ).

cnf(i_0_6704,plain,
    X1 = X1,
    inference(equality_inference,[],[4378]) ).

cnf(i_0_6705,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(equality_inference,[],[4386]) ).

cnf(i_0_6706,plain,
    ( c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(equality_inference,[],[4387]) ).

cnf(i_0_6707,plain,
    c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)) = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),
    inference(equality_inference,[],[4391]) ).

cnf(i_0_6708,plain,
    X1 = X1,
    inference(equality_inference,[],[4505]) ).

cnf(i_0_6709,plain,
    X1 = X1,
    inference(equality_inference,[],[4606]) ).

cnf(i_0_6710,plain,
    X1 = X1,
    inference(equality_inference,[],[4793]) ).

cnf(i_0_6711,plain,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | X2 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(equality_inference,[],[4816]) ).

cnf(i_0_6712,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[4867]) ).

cnf(i_0_6713,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[4868]) ).

cnf(i_0_6714,plain,
    ( X1 = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(equality_inference,[],[4869]) ).

cnf(i_0_6715,plain,
    ( X1 = X1
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(equality_inference,[],[4870]) ).

cnf(i_0_6716,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[4871]) ).

cnf(i_0_6717,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[4872]) ).

cnf(i_0_6718,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[4873]) ).

cnf(i_0_6719,plain,
    X1 = X1,
    inference(equality_inference,[],[4941]) ).

cnf(i_0_6720,plain,
    X1 = X1,
    inference(equality_inference,[],[4942]) ).

cnf(i_0_6721,plain,
    X1 = X1,
    inference(equality_inference,[],[4943]) ).

cnf(i_0_6722,plain,
    X1 = X1,
    inference(equality_inference,[],[4944]) ).

cnf(i_0_6723,plain,
    X1 = X1,
    inference(equality_inference,[],[4945]) ).

cnf(i_0_6724,plain,
    X1 = X1,
    inference(equality_inference,[],[4946]) ).

cnf(i_0_6725,plain,
    X1 = X1,
    inference(equality_inference,[],[4947]) ).

cnf(i_0_6726,plain,
    X1 = X1,
    inference(equality_inference,[],[4948]) ).

cnf(i_0_6727,plain,
    X1 = X1,
    inference(equality_inference,[],[4949]) ).

cnf(i_0_6728,plain,
    X1 = X1,
    inference(equality_inference,[],[4950]) ).

cnf(i_0_6729,plain,
    X1 = X1,
    inference(equality_inference,[],[4951]) ).

cnf(i_0_6730,plain,
    X1 = X1,
    inference(equality_inference,[],[4952]) ).

cnf(i_0_6731,plain,
    X1 = X1,
    inference(equality_inference,[],[4953]) ).

cnf(i_0_6732,plain,
    X1 = X1,
    inference(equality_inference,[],[4954]) ).

cnf(i_0_6733,plain,
    X1 = X1,
    inference(equality_inference,[],[5052]) ).

cnf(i_0_6734,plain,
    X1 = X1,
    inference(equality_inference,[],[5053]) ).

cnf(i_0_6735,plain,
    X1 = X1,
    inference(equality_inference,[],[5054]) ).

cnf(i_0_6736,plain,
    X1 = X1,
    inference(equality_inference,[],[5055]) ).

cnf(i_0_6737,plain,
    X1 = X1,
    inference(equality_inference,[],[5056]) ).

cnf(i_0_6738,plain,
    X1 = X1,
    inference(equality_inference,[],[5057]) ).

cnf(i_0_6739,plain,
    X1 = X1,
    inference(equality_inference,[],[5058]) ).

cnf(i_0_6740,plain,
    X1 = X1,
    inference(equality_inference,[],[5059]) ).

cnf(i_0_6741,plain,
    X1 = X1,
    inference(equality_inference,[],[5060]) ).

cnf(i_0_6742,plain,
    c_1 != c_0,
    inference(scs_inference,[],[i_0_6135,i_0_6047]) ).

cnf(i_0_6743,plain,
    ~ c_in(X1,c_uminus(c_insert(X1,X2,X3),tc_set(X3)),X3),
    inference(scs_inference,[],[i_0_3911,i_0_3433]) ).

cnf(i_0_6744,plain,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),c_uminus(X1,tc_set(X2)),X2,X2) = c_emptyset,
    inference(rename_variables,[],[i_0_3911]) ).

cnf(i_0_6745,plain,
    ( c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X2,X3),X3),X4,X3,X3) != c_emptyset
    | ~ c_in(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_3433]) ).

cnf(i_0_6746,plain,
    ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OKey(v_K)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(scs_inference,[],[i_0_4408,i_0_3911,i_0_3433,i_0_3713]) ).

cnf(i_0_6747,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(rename_variables,[],[i_0_3713]) ).

cnf(i_0_6748,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4547,i_0_4408,i_0_3911,i_0_3433,i_0_3713,i_0_4134]) ).

cnf(i_0_6749,plain,
    ( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4134]) ).

cnf(i_0_6750,plain,
    ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4547,i_0_4408,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237]) ).

cnf(i_0_6751,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4237]) ).

cnf(i_0_6752,plain,
    ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),X1),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238]) ).

cnf(i_0_6753,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4238]) ).

cnf(i_0_6754,plain,
    ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239]) ).

cnf(i_0_6755,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4239]) ).

cnf(i_0_6756,plain,
    ~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240]) ).

cnf(i_0_6757,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4240]) ).

cnf(i_0_6758,plain,
    ~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241]) ).

cnf(i_0_6759,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4241]) ).

cnf(i_0_6760,plain,
    ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242]) ).

cnf(i_0_6761,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4242]) ).

cnf(i_0_6762,plain,
    ~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243]) ).

cnf(i_0_6763,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4243]) ).

cnf(i_0_6764,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X1,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4400,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458]) ).

cnf(i_0_6765,plain,
    ( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4458]) ).

cnf(i_0_6766,plain,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4400,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481]) ).

cnf(i_0_6767,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4481]) ).

cnf(i_0_6768,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4400,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483]) ).

cnf(i_0_6769,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_4483]) ).

cnf(i_0_6770,plain,
    c_Message_OinvKey(v_K) = v_K,
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4400,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706]) ).

cnf(i_0_6771,plain,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | c_Message_OinvKey(X1) = X1 ),
    inference(rename_variables,[],[i_0_4706]) ).

cnf(i_0_6772,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_emptyset,X3,X4,X5),tc_prod(X5,X4)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_4400,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261]) ).

cnf(i_0_6773,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6774,plain,
    ( c_in(c_Pair(c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X6,X4),X2,tc_prod(X6,X4))
    | ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
    inference(rename_variables,[],[i_0_3261]) ).

cnf(i_0_6775,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_emptyset,X2,X3,X4,X5),tc_prod(X5,X4)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_4400,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262]) ).

cnf(i_0_6776,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6777,plain,
    ( c_in(c_Pair(c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X4,X5),X1,tc_prod(X4,X5))
    | ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ),
    inference(rename_variables,[],[i_0_3262]) ).

cnf(i_0_6778,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_4400,i_0_3911,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281]) ).

cnf(i_0_6779,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6780,plain,
    ( c_in(c_Pair(c_Main_OImageE__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    inference(rename_variables,[],[i_0_3281]) ).

cnf(i_0_6781,plain,
    ~ c_in(c_Pair(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_4400,i_0_3911,i_0_4715,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282]) ).

cnf(i_0_6782,plain,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    inference(rename_variables,[],[i_0_4715]) ).

cnf(i_0_6783,plain,
    ( X1 = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons1__2(X2,X1,X3,X4,X5),X5)
    | ~ c_in(c_Pair(c_List_Olist_OCons(X3,X4,X5),X1,tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(rename_variables,[],[i_0_3282]) ).

cnf(i_0_6784,plain,
    ~ c_in(c_Pair(c_List_Olist_ONil,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_4400,i_0_3911,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283]) ).

cnf(i_0_6785,plain,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    inference(rename_variables,[],[i_0_4715]) ).

cnf(i_0_6786,plain,
    ( X1 = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X2,X1,X3,X4,X5),c_Main_Olistrel__Cons2__2(X2,X1,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X1,c_List_Olist_OCons(X3,X4,X5),tc_List_Olist(X5),tc_List_Olist(X5)),c_List_Olistrel(X2,X5),tc_prod(tc_List_Olist(X5),tc_List_Olist(X5))) ),
    inference(rename_variables,[],[i_0_3283]) ).

cnf(i_0_6787,plain,
    ~ c_in(c_Datatype__Universe_OAtom(X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284]) ).

cnf(i_0_6788,plain,
    c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    inference(rename_variables,[],[i_0_3605]) ).

cnf(i_0_6789,plain,
    ( 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))) ),
    inference(rename_variables,[],[i_0_3284]) ).

cnf(i_0_6790,plain,
    c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X5,c_UNIV,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_4876,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293]) ).

cnf(i_0_6791,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6792,plain,
    ( ~ 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(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)))) ),
    inference(rename_variables,[],[i_0_3293]) ).

cnf(i_0_6793,plain,
    c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(c_UNIV,X5,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_4876,i_0_6791,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294]) ).

cnf(i_0_6794,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6795,plain,
    ( ~ 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(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)))) ),
    inference(rename_variables,[],[i_0_3294]) ).

cnf(i_0_6796,plain,
    ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_4876,i_0_6791,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303]) ).

cnf(i_0_6797,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_union(X4,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    inference(rename_variables,[],[i_0_3303]) ).

cnf(i_0_6798,plain,
    ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_4876,i_0_6791,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304]) ).

cnf(i_0_6799,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_union(X4,c_Relation_OId,tc_prod(X3,X3)),X3),tc_prod(X3,X3))
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    inference(rename_variables,[],[i_0_3304]) ).

cnf(i_0_6800,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_emptyset,X2,X3),tc_prod(X3,X2)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_4876,i_0_6791,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311]) ).

cnf(i_0_6801,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6802,plain,
    ( c_in(c_Pair(c_Main_OconverseE__1(X1,X2,X3,X4),c_Main_OconverseE__2(X1,X2,X3,X4),X3,X4),X1,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) ),
    inference(rename_variables,[],[i_0_3311]) ).

cnf(i_0_6803,plain,
    ~ c_in(X1,c_Relation_ORange(c_emptyset,X2,X3),X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_4876,i_0_6791,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340]) ).

cnf(i_0_6804,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6805,plain,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    inference(rename_variables,[],[i_0_3340]) ).

cnf(i_0_6806,plain,
    ~ c_in(X1,c_Relation_ODomain(c_emptyset,X2,X3),X2),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341]) ).

cnf(i_0_6807,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6808,plain,
    ( 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) ),
    inference(rename_variables,[],[i_0_3341]) ).

cnf(i_0_6809,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_UNIV,X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352]) ).

cnf(i_0_6810,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6811,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    inference(rename_variables,[],[i_0_3352]) ).

cnf(i_0_6812,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_UNIV,X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361]) ).

cnf(i_0_6813,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6814,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_3361]) ).

cnf(i_0_6815,plain,
    c_in(X1,c_Relation_ODomain(c_UNIV,X2,X3),X2),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386]) ).

cnf(i_0_6816,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6817,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(X1,c_Relation_ODomain(X5,X3,X4),X3) ),
    inference(rename_variables,[],[i_0_3386]) ).

cnf(i_0_6818,plain,
    c_in(X1,c_Relation_ORange(c_UNIV,X2,X3),X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_3420,i_0_4400,i_0_3911,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387]) ).

cnf(i_0_6819,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6820,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(X2,c_Relation_ORange(X5,X3,X4),X4) ),
    inference(rename_variables,[],[i_0_3387]) ).

cnf(i_0_6821,plain,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),c_uminus(c_insert(X3,X1,X2),tc_set(X2)),X2,X2) = c_emptyset,
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388]) ).

cnf(i_0_6822,plain,
    c_Relation_OImage(c_Relation_Odiag(X1,X2),c_uminus(X1,tc_set(X2)),X2,X2) = c_emptyset,
    inference(rename_variables,[],[i_0_3911]) ).

cnf(i_0_6823,plain,
    ( c_Relation_OImage(c_Relation_Odiag(c_insert(X1,X2,X3),X3),X4,X3,X3) != c_emptyset
    | c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3) = c_emptyset ),
    inference(rename_variables,[],[i_0_3388]) ).

cnf(i_0_6824,plain,
    ~ c_Wellfounded__Recursion_Owf(c_UNIV,X1),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418]) ).

cnf(i_0_6825,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6826,plain,
    ( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
    inference(rename_variables,[],[i_0_3418]) ).

cnf(i_0_6827,plain,
    c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,c_UNIV,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423]) ).

cnf(i_0_6828,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6829,plain,
    ( ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | 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))) ),
    inference(rename_variables,[],[i_0_3423]) ).

cnf(i_0_6830,plain,
    c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(c_UNIV,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424]) ).

cnf(i_0_6831,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6832,plain,
    ( ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | 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))) ),
    inference(rename_variables,[],[i_0_3424]) ).

cnf(i_0_6833,plain,
    c_Relation_OImage(c_Relation_Odiag(c_uminus(c_insert(X1,X2,X3),tc_set(X3)),X3),X2,X3,X3) = c_emptyset,
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426]) ).

cnf(i_0_6834,plain,
    c_Relation_OImage(c_Relation_Odiag(c_uminus(X1,tc_set(X2)),X2),X1,X2,X2) = c_emptyset,
    inference(rename_variables,[],[i_0_3774]) ).

cnf(i_0_6835,plain,
    ( c_Relation_OImage(c_Relation_Odiag(X1,X2),c_insert(X3,X4,X2),X2,X2) != c_emptyset
    | c_Relation_OImage(c_Relation_Odiag(X1,X2),X4,X2,X2) = c_emptyset ),
    inference(rename_variables,[],[i_0_3426]) ).

cnf(i_0_6836,plain,
    X1 = c_Main_Osurj__pair__1(c_Pair(X1,X2,X3,X4),X3,X4),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_3617,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440]) ).

cnf(i_0_6837,plain,
    X1 = c_Pair(c_Main_Osurj__pair__1(X1,X2,X3),c_Main_Osurj__pair__2(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3617]) ).

cnf(i_0_6838,plain,
    ( c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4)
    | X1 = X5 ),
    inference(rename_variables,[],[i_0_3440]) ).

cnf(i_0_6839,plain,
    X1 = c_Main_Osurj__pair__2(c_Pair(X2,X1,X3,X4),X3,X4),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442]) ).

cnf(i_0_6840,plain,
    X1 = c_Pair(c_Main_Osurj__pair__1(X1,X2,X3),c_Main_Osurj__pair__2(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3617]) ).

cnf(i_0_6841,plain,
    ( c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4)
    | X2 = X6 ),
    inference(rename_variables,[],[i_0_3442]) ).

cnf(i_0_6842,plain,
    c_in(c_Relation_Oconverse(c_List_Oset(X1,tc_prod(X2,X3)),X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_4721,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4715,i_0_6782,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710]) ).

cnf(i_0_6843,plain,
    c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_4721]) ).

cnf(i_0_6844,plain,
    ( ~ 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))) ),
    inference(rename_variables,[],[i_0_3710]) ).

cnf(i_0_6845,plain,
    c_List_Olist__update(c_List_Oremdups(X1,X2),c_Nat_Osize(X1,tc_List_Olist(X2)),X3,X2) = c_List_Oremdups(X1,X2),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_4721,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716]) ).

cnf(i_0_6846,plain,
    ( ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
    | c_List_Olist__update(X1,X3,X4,X2) = X1 ),
    inference(rename_variables,[],[i_0_3716]) ).

cnf(i_0_6847,plain,
    ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_4721,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757]) ).

cnf(i_0_6848,plain,
    ( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(rename_variables,[],[i_0_3757]) ).

cnf(i_0_6849,plain,
    c_in(X1,c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806]) ).

cnf(i_0_6850,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6851,plain,
    ( ~ c_in(c_Main_Oin__listsI__1(X1,X2,X3),X1,X3)
    | c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3)) ),
    inference(rename_variables,[],[i_0_3806]) ).

cnf(i_0_6852,plain,
    c_lessequals(X1,c_Relation_ODomain(c_UNIV,X2,X3),tc_set(X2)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891]) ).

cnf(i_0_6853,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_3891]) ).

cnf(i_0_6854,plain,
    c_List_Orev(c_List_Olist_OCons(X1,c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3),X5),X3) != c_List_Olist_OCons(X4,X2,X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936]) ).

cnf(i_0_6855,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6856,plain,
    ( X1 = c_append(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil,X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_3936]) ).

cnf(i_0_6857,plain,
    c_in(c_insert(X1,c_List_Oset(X2,X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004]) ).

cnf(i_0_6858,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_4004]) ).

cnf(i_0_6859,plain,
    c_List_Odrop(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005]) ).

cnf(i_0_6860,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | c_List_Odrop(c_Numeral_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
    inference(rename_variables,[],[i_0_4005]) ).

cnf(i_0_6861,plain,
    c_in(X1,c_Inter(c_emptyset,X2),X2),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028]) ).

cnf(i_0_6862,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6863,plain,
    ( c_in(c_Main_OInter__iff__1(X1,X2,X3),X2,tc_set(X3))
    | c_in(X1,c_Inter(X2,X3),X3) ),
    inference(rename_variables,[],[i_0_4028]) ).

cnf(i_0_6864,plain,
    c_in(X1,c_Inter(c_Relation_OImage(c_emptyset,X2,X3,tc_set(X4)),X4),X4),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029]) ).

cnf(i_0_6865,plain,
    ( c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3))
    | c_in(X1,c_Inter(X2,X3),X3) ),
    inference(rename_variables,[],[i_0_4029]) ).

cnf(i_0_6866,plain,
    ~ c_Divides_Oop_Advd(c_List_Olist_OCons(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X2),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_6855,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166]) ).

cnf(i_0_6867,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6868,plain,
    ( X1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
    inference(rename_variables,[],[i_0_4166]) ).

cnf(i_0_6869,plain,
    c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),X3) = X1,
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_6855,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196]) ).

cnf(i_0_6870,plain,
    ( c_Numeral_Onumber__of(X1,tc_nat) != c_0
    | c_List_Onth(c_List_Olist_OCons(X2,X3,X4),c_Numeral_Onumber__of(X1,tc_nat),X4) = X2 ),
    inference(rename_variables,[],[i_0_4196]) ).

cnf(i_0_6871,plain,
    c_List_Orotate(c_Nat_Osize(X1,tc_List_Olist(X2)),X1,X2) = X1,
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_6855,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219]) ).

cnf(i_0_6872,plain,
    c_Divides_Oop_Amod(X1,X1,tc_nat) = c_0,
    inference(rename_variables,[],[i_0_4897]) ).

cnf(i_0_6873,plain,
    ( c_Divides_Oop_Amod(X1,c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_0
    | c_List_Orotate(X1,X2,X3) = X2 ),
    inference(rename_variables,[],[i_0_4219]) ).

cnf(i_0_6874,plain,
    c_List_Odrop(c_Nat_Osize(X1,tc_List_Olist(X2)),c_List_Oremdups(X1,X2),X2) = c_List_Olist_ONil,
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_3605,i_0_4703,i_0_6855,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222]) ).

cnf(i_0_6875,plain,
    ( ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
    | c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil ),
    inference(rename_variables,[],[i_0_4222]) ).

cnf(i_0_6876,plain,
    c_in(X1,c_Pow(X1,X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283]) ).

cnf(i_0_6877,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_4283]) ).

cnf(i_0_6878,plain,
    c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X1,X2,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)))) = c_Relation_OImage(c_IntDef_Ointrel,c_insert(c_Pair(X1,X2,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat),tc_prod(tc_nat,tc_nat)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388]) ).

cnf(i_0_6879,plain,
    ( ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
    | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X1)) = X1 ),
    inference(rename_variables,[],[i_0_4388]) ).

cnf(i_0_6880,plain,
    c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(c_List_Olist_OCons(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X4),X2),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419]) ).

cnf(i_0_6881,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6882,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) != c_List_Orev(X1,X3) ),
    inference(rename_variables,[],[i_0_4419]) ).

cnf(i_0_6883,plain,
    c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X4),X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420]) ).

cnf(i_0_6884,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6885,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X3) ),
    inference(rename_variables,[],[i_0_4420]) ).

cnf(i_0_6886,plain,
    ~ c_in(X1,c_Datatype_Oo2s(c_List_Olist_OCons(X2,c_Datatype_Ooption_OSome(X1,X3),X4),X3),X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490]) ).

cnf(i_0_6887,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6888,plain,
    ( X1 = c_Datatype_Ooption_OSome(X2,X3)
    | ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3) ),
    inference(rename_variables,[],[i_0_4490]) ).

cnf(i_0_6889,plain,
    c_in(c_List_Ohd(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3),c_List_Oset(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3),X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616]) ).

cnf(i_0_6890,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6891,plain,
    ( X1 = c_List_Olist_ONil
    | c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2) ),
    inference(rename_variables,[],[i_0_4616]) ).

cnf(i_0_6892,plain,
    c_in(c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3),c_List_Oset(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X3),X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617]) ).

cnf(i_0_6893,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6894,plain,
    ( X1 = c_List_Olist_ONil
    | c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2) ),
    inference(rename_variables,[],[i_0_4617]) ).

cnf(i_0_6895,plain,
    c_times(c_0,X1,tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733]) ).

cnf(i_0_6896,plain,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_4435]) ).

cnf(i_0_6897,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_4733]) ).

cnf(i_0_6898,plain,
    c_in(c_Main_Oall__not__in__conv__1(c_List_Olist_OCons(X1,c_emptyset,X2),X3),c_List_Olist_OCons(X1,c_emptyset,X2),X3),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737]) ).

cnf(i_0_6899,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6900,plain,
    ( X1 = c_emptyset
    | c_in(c_Main_Oall__not__in__conv__1(X1,X2),X1,X2) ),
    inference(rename_variables,[],[i_0_4737]) ).

cnf(i_0_6901,plain,
    c_IntDef_Oint(c_List_Olist_OCons(X1,c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint)),X3)) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852]) ).

cnf(i_0_6902,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_6903,plain,
    ( X1 = c_IntDef_Onat(c_Numeral_Onumber__of(X2,tc_IntDef_Oint))
    | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X2,tc_IntDef_Oint) ),
    inference(rename_variables,[],[i_0_4852]) ).

cnf(i_0_6904,plain,
    X1 = c_union(X1,X1,X2),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186]) ).

cnf(i_0_6905,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X3,tc_nat,tc_nat)),X1,tc_nat),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344]) ).

cnf(i_0_6906,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X1,tc_nat),
    inference(rename_variables,[],[i_0_3391]) ).

cnf(i_0_6907,plain,
    ( ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
    | c_Divides_Oop_Advd(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_3344]) ).

cnf(i_0_6908,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X3,tc_nat,tc_nat)),X2,tc_nat),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345]) ).

cnf(i_0_6909,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X1,tc_nat),
    inference(rename_variables,[],[i_0_3391]) ).

cnf(i_0_6910,plain,
    ( ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat)
    | c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_3345]) ).

cnf(i_0_6911,plain,
    c_lessequals(c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X1,tc_set(X2)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403]) ).

cnf(i_0_6912,plain,
    c_lessequals(X1,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_4818]) ).

cnf(i_0_6913,plain,
    ( ~ c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3),tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_3403]) ).

cnf(i_0_6914,plain,
    c_lessequals(c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X3,tc_set(X2)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404]) ).

cnf(i_0_6915,plain,
    c_lessequals(X1,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_4818]) ).

cnf(i_0_6916,plain,
    ( ~ c_lessequals(X1,c_Relation_OImage(c_Relation_Odiag(X2,X3),X4,X3,X3),tc_set(X3))
    | c_lessequals(X1,X4,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_3404]) ).

cnf(i_0_6917,plain,
    c_Divides_Oop_Amod(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1,
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501]) ).

cnf(i_0_6918,plain,
    c_Divides_Oop_Amod(X1,X1,tc_IntDef_Oint) = c_0,
    inference(rename_variables,[],[i_0_4896]) ).

cnf(i_0_6919,plain,
    ( c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
    | c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_1 ),
    inference(rename_variables,[],[i_0_3501]) ).

cnf(i_0_6920,plain,
    c_Parity_Oeven(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723]) ).

cnf(i_0_6921,plain,
    c_Divides_Oop_Amod(X1,X1,tc_IntDef_Oint) = c_0,
    inference(rename_variables,[],[i_0_4896]) ).

cnf(i_0_6922,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) != c_0
    | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rename_variables,[],[i_0_3723]) ).

cnf(i_0_6923,plain,
    c_lessequals(c_minus(c_emptyset,c_insert(X1,c_emptyset,X2),tc_set(X2)),c_insert(X1,c_emptyset,X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830]) ).

cnf(i_0_6924,plain,
    c_insert(X1,c_minus(X2,c_insert(X1,c_emptyset,X3),tc_set(X3)),X3) = c_insert(X1,X2,X3),
    inference(rename_variables,[],[i_0_3646]) ).

cnf(i_0_6925,plain,
    ( c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3)
    | c_lessequals(X2,c_insert(X4,c_emptyset,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_3830]) ).

cnf(i_0_6926,plain,
    c_lessequals(X1,c_union(X1,X2,X3),tc_set(X3)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_6915,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848]) ).

cnf(i_0_6927,plain,
    c_lessequals(X1,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_4818]) ).

cnf(i_0_6928,plain,
    ( ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
    | c_lessequals(X1,X4,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_3848]) ).

cnf(i_0_6929,plain,
    c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849]) ).

cnf(i_0_6930,plain,
    c_lessequals(X1,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_4818]) ).

cnf(i_0_6931,plain,
    ( ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
    | c_lessequals(X2,X4,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_3849]) ).

cnf(i_0_6932,plain,
    c_lessequals(X1,c_insert(X2,X1,X3),tc_set(X3)),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850]) ).

cnf(i_0_6933,plain,
    c_lessequals(X1,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_4818]) ).

cnf(i_0_6934,plain,
    ( ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3))
    | c_lessequals(X2,X4,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_3850]) ).

cnf(i_0_6935,plain,
    c_Divides_Oop_Advd(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015]) ).

cnf(i_0_6936,plain,
    c_Divides_Oop_Amod(X1,c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_0,
    inference(rename_variables,[],[i_0_4763]) ).

cnf(i_0_6937,plain,
    ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) != c_0
    | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X2,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(rename_variables,[],[i_0_4015]) ).

cnf(i_0_6938,plain,
    c_lessequals(c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),c_0,tc_nat),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299]) ).

cnf(i_0_6939,plain,
    c_List_Odrop(c_0,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4856]) ).

cnf(i_0_6940,plain,
    ( c_List_Odrop(X1,X2,X3) != c_List_Olist_ONil
    | c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
    inference(rename_variables,[],[i_0_4299]) ).

cnf(i_0_6941,plain,
    c_Divides_Oop_Advd(X1,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333]) ).

cnf(i_0_6942,plain,
    c_Divides_Oop_Advd(X1,X1,tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_4877]) ).

cnf(i_0_6943,plain,
    ( ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    inference(rename_variables,[],[i_0_4333]) ).

cnf(i_0_6944,plain,
    c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X1,tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334]) ).

cnf(i_0_6945,plain,
    c_Divides_Oop_Advd(X1,X1,tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_4877]) ).

cnf(i_0_6946,plain,
    ( ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    inference(rename_variables,[],[i_0_4334]) ).

cnf(i_0_6947,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506]) ).

cnf(i_0_6948,plain,
    ( c_minus(X1,X2,tc_nat) != c_0
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_4506]) ).

cnf(i_0_6949,plain,
    c_lessequals(X1,X1,tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803]) ).

cnf(i_0_6950,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_4803]) ).

cnf(i_0_6951,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent,X2),X2),
    inference(scs_inference,[],[i_0_3381,i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358]) ).

cnf(i_0_6952,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6953,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(X2,c_Relation_OImage(X5,X6,X3,X4),X4)
    | ~ c_in(X1,X6,X3) ),
    inference(rename_variables,[],[i_0_3358]) ).

cnf(i_0_6954,plain,
    c_in(c_Pair(c_Datatype__Universe_OScons(X1,X1,X2,X3),c_Datatype__Universe_OScons(X4,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(c_UNIV,c_UNIV,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),
    inference(scs_inference,[],[i_0_3381,i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277]) ).

cnf(i_0_6955,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6956,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6957,plain,
    ( ~ 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))))
    | 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)))) ),
    inference(rename_variables,[],[i_0_3277]) ).

cnf(i_0_6958,plain,
    c_Relation_OImage(c_Relation_Odiag(c_Event_Obad,tc_Message_Oagent),c_insert(v_B,c_emptyset,tc_Message_Oagent),tc_Message_Oagent,tc_Message_Oagent) = c_emptyset,
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430]) ).

cnf(i_0_6959,plain,
    c_Relation_OImage(X1,c_emptyset,X2,X3) = c_emptyset,
    inference(rename_variables,[],[i_0_4054]) ).

cnf(i_0_6960,plain,
    ( c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2) != c_emptyset
    | c_Relation_OImage(c_Relation_Odiag(X1,X2),c_insert(X4,X3,X2),X2,X2) = c_emptyset
    | c_in(X4,X1,X2) ),
    inference(rename_variables,[],[i_0_3430]) ).

cnf(i_0_6961,plain,
    ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OKey(v_K)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498]) ).

cnf(i_0_6962,plain,
    ( c_in(c_Event_Oevent_OSays(v_sko__wPE(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(rename_variables,[],[i_0_3498]) ).

cnf(i_0_6963,plain,
    ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),X2)),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769]) ).

cnf(i_0_6964,plain,
    ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(rename_variables,[],[i_0_3769]) ).

cnf(i_0_6965,plain,
    c_lessequals(c_insert(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),c_List_Oset(v_evs3,tc_Event_Oevent),tc_set(tc_Event_Oevent)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775]) ).

cnf(i_0_6966,plain,
    c_lessequals(X1,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_4818]) ).

cnf(i_0_6967,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_lessequals(c_insert(X4,X1,X3),X2,tc_set(X3))
    | ~ c_in(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_3775]) ).

cnf(i_0_6968,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999]) ).

cnf(i_0_6969,plain,
    ( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
    | c_in(X1,c_Message_OkeysFor(X2),tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_3999]) ).

cnf(i_0_6970,plain,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NBa)))))),c_Union(c_UNIV,tc_Event_Oevent),tc_Event_Oevent),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002]) ).

cnf(i_0_6971,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6972,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_in(X4,c_Union(X2,X3),X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_4002]) ).

cnf(i_0_6973,plain,
    ~ c_in(v_B,c_Relation_OImage(c_Relation_Odiag(c_Event_Obad,tc_Message_Oagent),X1,tc_Message_Oagent,tc_Message_Oagent),tc_Message_Oagent),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089]) ).

cnf(i_0_6974,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_4089]) ).

cnf(i_0_6975,plain,
    ~ c_in(c_union(v_B,v_B,X1),c_Event_Obad,tc_Message_Oagent),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_4847,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554]) ).

cnf(i_0_6976,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_6977,plain,
    ~ c_in(v_B,c_union(c_Event_Obad,c_Event_Obad,X1),tc_Message_Oagent),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_4847,i_0_6976,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555]) ).

cnf(i_0_6978,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_6979,plain,
    ~ c_in(v_B,c_Event_Obad,c_union(tc_Message_Oagent,tc_Message_Oagent,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556]) ).

cnf(i_0_6980,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_6981,plain,
    c_Datatype__Universe_OIn1(X1,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323]) ).

cnf(i_0_6982,plain,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3),
    inference(rename_variables,[],[i_0_4352]) ).

cnf(i_0_6983,plain,
    ( X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X3,X4),X3,X4)
    | X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X5,X1,X3,X4),X3,X4)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    inference(rename_variables,[],[i_0_3323]) ).

cnf(i_0_6984,plain,
    c_in(c_Pair(c_List_Olist_OCons(X1,c_List_Orotate1(X2,X3),X3),c_List_Olist_OCons(X4,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olex(c_UNIV,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3))),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_4787,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326]) ).

cnf(i_0_6985,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6986,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_in(c_Pair(c_List_Olist_OCons(X4,X1,X2),c_List_Olist_OCons(X5,X3,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X6,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
    | ~ c_in(c_Pair(X4,X5,X2,X2),X6,tc_prod(X2,X2)) ),
    inference(rename_variables,[],[i_0_3326]) ).

cnf(i_0_6987,plain,
    ~ c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(c_emptyset,X4,X2,X3),tc_sum(X2,X3)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_4787,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329]) ).

cnf(i_0_6988,plain,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    inference(rename_variables,[],[i_0_4351]) ).

cnf(i_0_6989,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6990,plain,
    ( X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X1,X3,X4),X3,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))
    | c_in(c_Main_OPlusE__1(X5,X1,X4,X3),X5,X4) ),
    inference(rename_variables,[],[i_0_3329]) ).

cnf(i_0_6991,plain,
    ~ c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,c_emptyset,X3,X2),tc_sum(X3,X2)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_4787,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330]) ).

cnf(i_0_6992,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    inference(rename_variables,[],[i_0_4350]) ).

cnf(i_0_6993,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_6994,plain,
    ( X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4))
    | c_in(c_Main_OPlusE__2(X5,X1,X4,X3),X5,X4) ),
    inference(rename_variables,[],[i_0_3330]) ).

cnf(i_0_6995,plain,
    c_List_Ozip(c_append(c_List_Orotate1(X1,X2),c_List_Orotate1(X1,X2),X2),c_append(X1,X1,X2),X2,X2) = c_append(c_List_Ozip(c_List_Orotate1(X1,X2),X1,X2,X2),c_List_Ozip(c_List_Orotate1(X1,X2),X1,X2,X2),tc_prod(X2,X2)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_4787,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347]) ).

cnf(i_0_6996,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
    | c_Nat_Osize(X5,tc_List_Olist(X2)) != c_Nat_Osize(X6,tc_List_Olist(X4))
    | c_List_Ozip(c_append(X5,X1,X2),c_append(X6,X3,X4),X2,X4) = c_append(c_List_Ozip(X5,X6,X2,X4),c_List_Ozip(X1,X3,X2,X4),tc_prod(X2,X4)) ),
    inference(rename_variables,[],[i_0_3347]) ).

cnf(i_0_6997,plain,
    c_in(c_Datatype__Universe_OScons(X1,X1,X2,X3),c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_4787,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362]) ).

cnf(i_0_6998,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_6999,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_7000,plain,
    ( ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X5,X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | 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))) ),
    inference(rename_variables,[],[i_0_3362]) ).

cnf(i_0_7001,plain,
    c_in(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_3617,i_0_6837,i_0_4787,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770]) ).

cnf(i_0_7002,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_3770]) ).

cnf(i_0_7003,plain,
    c_in(c_Union(c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946]) ).

cnf(i_0_7004,plain,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_4842]) ).

cnf(i_0_7005,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_4726]) ).

cnf(i_0_7006,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_3946]) ).

cnf(i_0_7007,plain,
    c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONumber(X2)),c_Message_Osynth(c_UNIV),tc_Message_Omsg),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984]) ).

cnf(i_0_7008,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_4876]) ).

cnf(i_0_7009,plain,
    c_in(c_Message_Omsg_ONumber(X1),c_Message_Osynth(X2),tc_Message_Omsg),
    inference(rename_variables,[],[i_0_4794]) ).

cnf(i_0_7010,plain,
    ( ~ c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(rename_variables,[],[i_0_3984]) ).

cnf(i_0_7011,plain,
    c_List_Oreplicate(c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),X2,X1) = c_List_Olist_ONil,
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4863,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085]) ).

cnf(i_0_7012,plain,
    c_Nat_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
    inference(rename_variables,[],[i_0_4548]) ).

cnf(i_0_7013,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7014,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X1,X4,X2) != c_append(X3,X5,X2)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_4085]) ).

cnf(i_0_7015,plain,
    X1 = c_append(c_List_Orotate1(c_List_Olist_ONil,X2),X1,X2),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4863,i_0_7013,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087]) ).

cnf(i_0_7016,plain,
    c_Nat_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_4787]) ).

cnf(i_0_7017,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7018,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X1,X4,X2) != c_append(X3,X5,X2)
    | X4 = X5 ),
    inference(rename_variables,[],[i_0_4087]) ).

cnf(i_0_7019,plain,
    X1 = c_append(X1,c_List_Orotate1(c_List_Olist_ONil,X2),X2),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4863,i_0_7013,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088]) ).

cnf(i_0_7020,plain,
    c_Nat_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize(X1,tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_4787]) ).

cnf(i_0_7021,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_4864]) ).

cnf(i_0_7022,plain,
    ( c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X2))
    | c_append(X4,X1,X2) != c_append(X5,X3,X2)
    | X4 = X5 ),
    inference(rename_variables,[],[i_0_4088]) ).

cnf(i_0_7023,plain,
    c_emptyset = c_Relation_OImage(c_Relation_Odiag(X1,X2),c_emptyset,X2,X2),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4863,i_0_7013,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_4828,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236]) ).

cnf(i_0_7024,plain,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_4828]) ).

cnf(i_0_7025,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_4236]) ).

cnf(i_0_7026,plain,
    ~ c_in(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),c_List_Oset(c_List_Olist_ONil,tc_List_Olist(X3)),tc_List_Olist(X3)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4863,i_0_7013,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_4828,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292]) ).

cnf(i_0_7027,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_7028,plain,
    ( c_List_Oconcat(X1,X2) != c_List_Olist_ONil
    | ~ c_in(X3,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
    | X3 = c_List_Olist_ONil ),
    inference(rename_variables,[],[i_0_4292]) ).

cnf(i_0_7029,plain,
    ~ c_in(c_List_Olist_OCons(X1,c_emptyset,X2),c_Pow(c_emptyset,X3),tc_set(X3)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4863,i_0_7013,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575]) ).

cnf(i_0_7030,plain,
    c_Union(c_Pow(X1,X2),X2) = X1,
    inference(rename_variables,[],[i_0_4969]) ).

cnf(i_0_7031,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_4703]) ).

cnf(i_0_7032,plain,
    ( c_Union(X1,X2) != c_emptyset
    | X3 = c_emptyset
    | ~ c_in(X3,X1,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_4575]) ).

cnf(i_0_7033,plain,
    ~ class_OrderedGroup_Oab__group__add(tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_4856,i_0_4863,i_0_7013,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663]) ).

cnf(i_0_7034,plain,
    c_minus(c_0,X1,tc_nat) = c_0,
    inference(rename_variables,[],[i_0_4913]) ).

cnf(i_0_7035,plain,
    ( c_minus(X1,X2,X3) != c_0
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(rename_variables,[],[i_0_4663]) ).

cnf(i_0_7036,plain,
    c_0 != c_union(c_1,c_1,X1),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_4856,i_0_4863,i_0_7013,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187]) ).

cnf(i_0_7037,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7038,plain,
    class_Power_Orecpower(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558]) ).

cnf(i_0_7039,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7040,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6119,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559]) ).

cnf(i_0_7041,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7042,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6077,i_0_6119,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560]) ).

cnf(i_0_7043,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7044,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6073,i_0_6077,i_0_6119,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563]) ).

cnf(i_0_7045,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7046,plain,
    class_Numeral_Onumber__ring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6068,i_0_6073,i_0_6077,i_0_6119,i_0_6166,i_0_4715,i_0_6782,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564]) ).

cnf(i_0_7047,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7048,plain,
    ~ c_IntDef_Oneg(c_union(c_IntDef_Oint(X1),c_IntDef_Oint(X1),X2),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6068,i_0_6073,i_0_6077,i_0_6119,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565]) ).

cnf(i_0_7049,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7050,plain,
    ~ c_IntDef_Oneg(c_IntDef_Oint(X1),c_union(tc_IntDef_Oint,tc_IntDef_Oint,X2)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6068,i_0_6073,i_0_6077,i_0_6119,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566]) ).

cnf(i_0_7051,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7052,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6119,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569]) ).

cnf(i_0_7053,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7054,plain,
    class_Ring__and__Field_Oring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6119,i_0_6142,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573]) ).

cnf(i_0_7055,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7056,plain,
    class_Ring__and__Field_Osemiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6119,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574]) ).

cnf(i_0_7057,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7058,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6111,i_0_6119,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577]) ).

cnf(i_0_7059,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7060,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6105,i_0_6111,i_0_6119,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578]) ).

cnf(i_0_7061,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7062,plain,
    ~ c_Parity_Oeven(c_union(c_1,c_1,X1),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6105,i_0_6111,i_0_6119,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579]) ).

cnf(i_0_7063,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7064,plain,
    ~ c_Parity_Oeven(c_1,c_union(tc_IntDef_Oint,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6105,i_0_6111,i_0_6119,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580]) ).

cnf(i_0_7065,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7066,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6083,i_0_6105,i_0_6111,i_0_6119,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581]) ).

cnf(i_0_7067,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7068,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6105,i_0_6111,i_0_6119,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583]) ).

cnf(i_0_7069,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7070,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584]) ).

cnf(i_0_7071,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7072,plain,
    ~ c_lessequals(c_union(c_0,c_0,X1),c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat)),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585]) ).

cnf(i_0_7073,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7074,plain,
    ~ c_lessequals(c_0,c_union(c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),X2),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586]) ).

cnf(i_0_7075,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7076,plain,
    ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),tc_IntDef_Oint),c_union(tc_IntDef_Oint,tc_IntDef_Oint,X2)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587]) ).

cnf(i_0_7077,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7078,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588]) ).

cnf(i_0_7079,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7080,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589]) ).

cnf(i_0_7081,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7082,plain,
    ~ c_List_Oop_Amem(X1,c_union(c_List_Olist_ONil,c_List_Olist_ONil,X2),X3),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591]) ).

cnf(i_0_7083,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7084,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593]) ).

cnf(i_0_7085,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7086,plain,
    tc_IntDef_Oint != tc_nat,
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6158,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594]) ).

cnf(i_0_7087,plain,
    class_HOL_Oone(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595]) ).

cnf(i_0_7088,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7089,plain,
    ~ c_List_Onull(c_union(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X2,X3),X4),X3),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598]) ).

cnf(i_0_7090,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7091,plain,
    ~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),c_union(X3,X3,X4)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599]) ).

cnf(i_0_7092,plain,
    ~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_4250]) ).

cnf(i_0_7093,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6148,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600]) ).

cnf(i_0_7094,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7095,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6117,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6148,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601]) ).

cnf(i_0_7096,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7097,plain,
    ~ c_less(c_union(X1,X1,X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6117,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6148,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602]) ).

cnf(i_0_7098,plain,
    ~ c_less(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_4727]) ).

cnf(i_0_7099,plain,
    ~ c_less(X1,c_union(X1,X1,X2),tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6117,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6148,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603]) ).

cnf(i_0_7100,plain,
    ~ c_less(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_4727]) ).

cnf(i_0_7101,plain,
    ~ c_less(X1,X1,c_union(tc_nat,tc_nat,X2)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6117,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6148,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604]) ).

cnf(i_0_7102,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7103,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6148,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605]) ).

cnf(i_0_7104,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7105,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6142,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606]) ).

cnf(i_0_7106,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7107,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607]) ).

cnf(i_0_7108,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7109,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608]) ).

cnf(i_0_7110,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7111,plain,
    class_Finite__Set_Ofinite(c_append(c_List_Olist_ONil,tc_bool,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609]) ).

cnf(i_0_7112,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7113,plain,
    class_Nat_Opower(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610]) ).

cnf(i_0_7114,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7115,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612]) ).

cnf(i_0_7116,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7117,plain,
    class_Ring__and__Field_Oidom(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614]) ).

cnf(i_0_7118,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7119,plain,
    ~ c_Wellfounded__Recursion_Oacyclic(c_union(c_insert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_insert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X4),X2),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615]) ).

cnf(i_0_7120,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7121,plain,
    ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_union(X2,X2,X4)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616]) ).

cnf(i_0_7122,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617]) ).

cnf(i_0_7123,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7124,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618]) ).

cnf(i_0_7125,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7126,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619]) ).

cnf(i_0_7127,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7128,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620]) ).

cnf(i_0_7129,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7130,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621]) ).

cnf(i_0_7131,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7132,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622]) ).

cnf(i_0_7133,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7134,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623]) ).

cnf(i_0_7135,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7136,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624]) ).

cnf(i_0_7137,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7138,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625]) ).

cnf(i_0_7139,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7140,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626]) ).

cnf(i_0_7141,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7142,plain,
    ~ c_Wellfounded__Recursion_Owf(c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_insert(c_Pair(X9,X9,X10,X10),X11,tc_prod(X10,X10)),X12,X13,X14,X15,X16,X17,X18,c_List_Onibble_ONibble8,X19),X10),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627]) ).

cnf(i_0_7143,plain,
    c_List_Onibble_Onibble__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,c_List_Onibble_ONibble8,X17) = X9,
    inference(rename_variables,[],[i_0_3228]) ).

cnf(i_0_7144,plain,
    ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_union(X2,X2,X4)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628]) ).

cnf(i_0_7145,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629]) ).

cnf(i_0_7146,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7147,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630]) ).

cnf(i_0_7148,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7149,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631]) ).

cnf(i_0_7150,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7151,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632]) ).

cnf(i_0_7152,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7153,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633]) ).

cnf(i_0_7154,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7155,plain,
    class_Ring__and__Field_Oring__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634]) ).

cnf(i_0_7156,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7157,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635]) ).

cnf(i_0_7158,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7159,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636]) ).

cnf(i_0_7160,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7161,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637]) ).

cnf(i_0_7162,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7163,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638]) ).

cnf(i_0_7164,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7165,plain,
    ~ c_Divides_Oop_Advd(c_union(c_List_Olist_OCons(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X2),c_List_Olist_OCons(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X2),X3),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639]) ).

cnf(i_0_7166,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7167,plain,
    ~ c_Divides_Oop_Advd(c_List_Olist_OCons(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X2),c_union(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X3),tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640]) ).

cnf(i_0_7168,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7169,plain,
    ~ c_Divides_Oop_Advd(c_List_Olist_OCons(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),X2),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_union(tc_nat,tc_nat,X3)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641]) ).

cnf(i_0_7170,plain,
    c_union(X1,X1,X2) = X1,
    inference(rename_variables,[],[i_0_4847]) ).

cnf(i_0_7171,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6080,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642]) ).

cnf(i_0_7172,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7173,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643]) ).

cnf(i_0_7174,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7175,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644]) ).

cnf(i_0_7176,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7177,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6107,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645]) ).

cnf(i_0_7178,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7179,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646]) ).

cnf(i_0_7180,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7181,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647]) ).

cnf(i_0_7182,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7183,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648]) ).

cnf(i_0_7184,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7185,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649]) ).

cnf(i_0_7186,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7187,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_List_Olist_ONil,tc_nat,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650]) ).

cnf(i_0_7188,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7189,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651]) ).

cnf(i_0_7190,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7191,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653]) ).

cnf(i_0_7192,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7193,plain,
    class_HOL_Ozero(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654]) ).

cnf(i_0_7194,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7195,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655]) ).

cnf(i_0_7196,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7197,plain,
    class_HOL_Otimes(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656]) ).

cnf(i_0_7198,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7199,plain,
    class_HOL_Oplus(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657]) ).

cnf(i_0_7200,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7201,plain,
    class_HOL_Ominus(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658]) ).

cnf(i_0_7202,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7203,plain,
    class_Parity_Oeven__odd(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659]) ).

cnf(i_0_7204,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7205,plain,
    class_Divides_Odiv(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660]) ).

cnf(i_0_7206,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7207,plain,
    c_lessequals(c_union(X1,X1,X2),X1,tc_set(X2)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764]) ).

cnf(i_0_7208,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X4,X2,tc_set(X3))
    | c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_3764]) ).

cnf(i_0_7209,plain,
    c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Orderings_Omax(X1,X2,tc_nat),tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4565,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872]) ).

cnf(i_0_7210,plain,
    c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_4565]) ).

cnf(i_0_7211,plain,
    ( ~ c_less(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_less(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_3872]) ).

cnf(i_0_7212,plain,
    c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Orderings_Omax(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4565,i_0_7210,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873]) ).

cnf(i_0_7213,plain,
    c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_4565]) ).

cnf(i_0_7214,plain,
    ( ~ c_less(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_less(X2,X4,X3) ),
    inference(rename_variables,[],[i_0_3873]) ).

cnf(i_0_7215,plain,
    c_lessequals(X1,c_Orderings_Omax(X1,X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4565,i_0_7210,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874]) ).

cnf(i_0_7216,plain,
    ( ~ c_lessequals(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_3874]) ).

cnf(i_0_7217,plain,
    c_lessequals(X1,c_Orderings_Omax(X2,X1,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4565,i_0_7210,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875]) ).

cnf(i_0_7218,plain,
    ( ~ c_lessequals(c_Orderings_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X4,X3) ),
    inference(rename_variables,[],[i_0_3875]) ).

cnf(i_0_7219,plain,
    c_lessequals(c_minus(c_Orderings_Omin(X1,X2,tc_nat),X3,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4433,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4565,i_0_7210,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882]) ).

cnf(i_0_7220,plain,
    c_lessequals(c_minus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_4433]) ).

cnf(i_0_7221,plain,
    ( ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4)
    | c_lessequals(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_3882]) ).

cnf(i_0_7222,plain,
    c_lessequals(c_minus(c_Orderings_Omin(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4565,i_0_7210,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885]) ).

cnf(i_0_7223,plain,
    c_lessequals(c_minus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_4433]) ).

cnf(i_0_7224,plain,
    ( ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4)
    | c_lessequals(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_3885]) ).

cnf(i_0_7225,plain,
    ~ class_OrderedGroup_Opordered__ab__group__add(tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4565,i_0_7210,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019]) ).

cnf(i_0_7226,plain,
    ~ c_less(X1,c_0,tc_nat),
    inference(rename_variables,[],[i_0_4743]) ).

cnf(i_0_7227,plain,
    ( c_less(c_minus(X1,X2,X3),c_0,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_less(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_4019]) ).

cnf(i_0_7228,plain,
    ~ c_less(c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint),c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4565,i_0_7210,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109]) ).

cnf(i_0_7229,plain,
    ~ c_less(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_4727]) ).

cnf(i_0_7230,plain,
    ( ~ c_less(c_0,X1,tc_IntDef_Oint)
    | c_less(c_IntDef_Onat(X2),c_IntDef_Onat(X1),tc_nat)
    | ~ c_less(X2,X1,tc_IntDef_Oint) ),
    inference(rename_variables,[],[i_0_4109]) ).

cnf(i_0_7231,plain,
    c_less(c_IntDef_Oof__int(c_HOL_Oabs(c_0,tc_IntDef_Oint),tc_IntDef_Oint),c_IntDef_Oof__int(c_1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225]) ).

cnf(i_0_7232,plain,
    ( ~ c_less(X1,X2,tc_IntDef_Oint)
    | c_less(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(rename_variables,[],[i_0_4225]) ).

cnf(i_0_7233,plain,
    c_less(c_NatArith_Oof__nat(c_0,tc_IntDef_Oint),c_NatArith_Oof__nat(c_1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226]) ).

cnf(i_0_7234,plain,
    ( ~ c_less(X1,X2,tc_nat)
    | c_less(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_4226]) ).

cnf(i_0_7235,plain,
    c_lessequals(c_IntDef_Oof__int(c_0,tc_IntDef_Oint),c_IntDef_Oof__int(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227]) ).

cnf(i_0_7236,plain,
    ( ~ c_lessequals(X1,X2,tc_IntDef_Oint)
    | c_lessequals(c_IntDef_Oof__int(X1,X3),c_IntDef_Oof__int(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(rename_variables,[],[i_0_4227]) ).

cnf(i_0_7237,plain,
    c_lessequals(c_NatArith_Oof__nat(c_0,tc_IntDef_Oint),c_NatArith_Oof__nat(X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228]) ).

cnf(i_0_7238,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(c_NatArith_Oof__nat(X1,X3),c_NatArith_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_4228]) ).

cnf(i_0_7239,plain,
    ~ class_Ring__and__Field_Oordered__idom(tc_nat),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228,i_0_4277]) ).

cnf(i_0_7240,plain,
    c_lessequals(c_0,X1,tc_nat),
    inference(rename_variables,[],[i_0_4907]) ).

cnf(i_0_7241,plain,
    ( ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | c_lessequals(c_0,X1,tc_IntDef_Oint)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(rename_variables,[],[i_0_4277]) ).

cnf(i_0_7242,plain,
    ~ c_lessequals(c_IntDef_Oint(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat)),c_0,tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228,i_0_4277,i_0_4368]) ).

cnf(i_0_7243,plain,
    ( c_lessequals(c_0,c_uminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_0,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_4368]) ).

cnf(i_0_7244,plain,
    c_lessequals(c_IntDef_Oof__int(c_IntDef_Oint(c_0),tc_IntDef_Oint),c_0,tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4850,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228,i_0_4277,i_0_4368,i_0_4381]) ).

cnf(i_0_7245,plain,
    ( ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
    | c_lessequals(c_IntDef_Oof__int(X1,X2),c_0,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(rename_variables,[],[i_0_4381]) ).

cnf(i_0_7246,plain,
    c_less(c_0,c_IntDef_Oof__int(c_Nat_Opower(c_HOL_Oabs(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4850,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228,i_0_4277,i_0_4368,i_0_4381,i_0_4382]) ).

cnf(i_0_7247,plain,
    ( ~ c_less(c_0,X1,tc_IntDef_Oint)
    | c_less(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(rename_variables,[],[i_0_4382]) ).

cnf(i_0_7248,plain,
    c_less(c_0,c_NatArith_Oof__nat(c_1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4850,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228,i_0_4277,i_0_4368,i_0_4381,i_0_4382,i_0_4383]) ).

cnf(i_0_7249,plain,
    ( ~ c_less(c_0,X1,tc_nat)
    | c_less(c_0,c_NatArith_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_4383]) ).

cnf(i_0_7250,plain,
    c_lessequals(c_0,c_IntDef_Oof__int(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4850,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228,i_0_4277,i_0_4368,i_0_4381,i_0_4382,i_0_4383,i_0_4384]) ).

cnf(i_0_7251,plain,
    ( ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
    | c_lessequals(c_0,c_IntDef_Oof__int(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(rename_variables,[],[i_0_4384]) ).

cnf(i_0_7252,plain,
    class_Numeral_Onumber(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_7206,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6071,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4850,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228,i_0_4277,i_0_4368,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_6652]) ).

cnf(i_0_7253,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_4863]) ).

cnf(i_0_7254,plain,
    $false,
    inference(scs_inference,[],[i_0_3381,i_0_4747,i_0_4935,i_0_4673,i_0_4547,i_0_4851,i_0_4408,i_0_3844,i_0_4726,i_0_6773,i_0_6776,i_0_6779,i_0_6801,i_0_6804,i_0_6807,i_0_6862,i_0_6989,i_0_6993,i_0_4876,i_0_6791,i_0_6794,i_0_6810,i_0_6813,i_0_6816,i_0_6819,i_0_6825,i_0_6828,i_0_6831,i_0_6850,i_0_6952,i_0_6956,i_0_6971,i_0_6985,i_0_6999,i_0_4847,i_0_6976,i_0_6978,i_0_6980,i_0_7037,i_0_7049,i_0_7051,i_0_7063,i_0_7065,i_0_7073,i_0_7075,i_0_7077,i_0_7083,i_0_7090,i_0_7102,i_0_7120,i_0_7166,i_0_7168,i_0_3228,i_0_4856,i_0_4863,i_0_7013,i_0_7017,i_0_7039,i_0_7041,i_0_7043,i_0_7045,i_0_7047,i_0_7053,i_0_7055,i_0_7057,i_0_7059,i_0_7061,i_0_7067,i_0_7069,i_0_7071,i_0_7079,i_0_7081,i_0_7085,i_0_7088,i_0_7094,i_0_7096,i_0_7104,i_0_7106,i_0_7108,i_0_7110,i_0_7112,i_0_7114,i_0_7116,i_0_7118,i_0_7123,i_0_7125,i_0_7127,i_0_7129,i_0_7131,i_0_7133,i_0_7135,i_0_7137,i_0_7139,i_0_7141,i_0_7146,i_0_7148,i_0_7150,i_0_7152,i_0_7154,i_0_7156,i_0_7158,i_0_7160,i_0_7162,i_0_7164,i_0_7172,i_0_7174,i_0_7176,i_0_7178,i_0_7180,i_0_7182,i_0_7184,i_0_7186,i_0_7188,i_0_7190,i_0_7192,i_0_7194,i_0_7196,i_0_7198,i_0_7200,i_0_7202,i_0_7204,i_0_7206,i_0_4864,i_0_4721,i_0_6843,i_0_4794,i_0_4842,i_0_3617,i_0_6837,i_0_4787,i_0_7016,i_0_4969,i_0_4548,i_0_3420,i_0_4400,i_0_3309,i_0_4054,i_0_4895,i_0_4896,i_0_6918,i_0_4897,i_0_5079,i_0_4913,i_0_6013,i_0_3646,i_0_4763,i_0_3911,i_0_6744,i_0_3774,i_0_4727,i_0_7098,i_0_7100,i_0_4877,i_0_6942,i_0_4725,i_0_4818,i_0_6912,i_0_6915,i_0_6927,i_0_6930,i_0_6933,i_0_6966,i_0_6184,i_0_4350,i_0_4351,i_0_4352,i_0_3605,i_0_4250,i_0_4703,i_0_6855,i_0_6867,i_0_6881,i_0_6884,i_0_6887,i_0_6890,i_0_6893,i_0_6899,i_0_6902,i_0_7027,i_0_4743,i_0_4907,i_0_4828,i_0_4433,i_0_7220,i_0_4435,i_0_4931,i_0_5049,i_0_6053,i_0_6054,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6069,i_0_6071,i_0_6073,i_0_6074,i_0_6075,i_0_6077,i_0_6078,i_0_6079,i_0_6080,i_0_6081,i_0_6082,i_0_6083,i_0_6085,i_0_6086,i_0_6087,i_0_6088,i_0_6089,i_0_6091,i_0_6093,i_0_6095,i_0_6097,i_0_6099,i_0_6101,i_0_6103,i_0_6105,i_0_6107,i_0_6109,i_0_6111,i_0_6112,i_0_6113,i_0_6115,i_0_6117,i_0_6119,i_0_6120,i_0_6122,i_0_6124,i_0_6125,i_0_6127,i_0_6129,i_0_6131,i_0_6133,i_0_6135,i_0_6137,i_0_6138,i_0_6140,i_0_6142,i_0_6143,i_0_6145,i_0_6146,i_0_6148,i_0_6150,i_0_6152,i_0_6154,i_0_6156,i_0_6158,i_0_6160,i_0_6162,i_0_6164,i_0_6166,i_0_4715,i_0_6782,i_0_4840,i_0_5003,i_0_4287,i_0_3391,i_0_6906,i_0_4765,i_0_4565,i_0_7210,i_0_4850,i_0_4224,i_0_3527,i_0_3433,i_0_3713,i_0_4134,i_0_4237,i_0_4238,i_0_4239,i_0_4240,i_0_4241,i_0_4242,i_0_4243,i_0_4458,i_0_4481,i_0_4483,i_0_4706,i_0_3261,i_0_3262,i_0_3281,i_0_3282,i_0_3283,i_0_3284,i_0_3293,i_0_3294,i_0_3303,i_0_3304,i_0_3311,i_0_3340,i_0_3341,i_0_3352,i_0_3361,i_0_3386,i_0_3387,i_0_3388,i_0_3418,i_0_3423,i_0_3424,i_0_3426,i_0_3440,i_0_3442,i_0_3710,i_0_3716,i_0_3757,i_0_3806,i_0_3891,i_0_3936,i_0_4004,i_0_4005,i_0_4028,i_0_4029,i_0_4166,i_0_4196,i_0_4219,i_0_4222,i_0_4283,i_0_4388,i_0_4419,i_0_4420,i_0_4490,i_0_4616,i_0_4617,i_0_4733,i_0_4737,i_0_4852,i_0_6186,i_0_3344,i_0_3345,i_0_3403,i_0_3404,i_0_3501,i_0_3723,i_0_3830,i_0_3848,i_0_3849,i_0_3850,i_0_4015,i_0_4299,i_0_4333,i_0_4334,i_0_4506,i_0_4803,i_0_3358,i_0_3277,i_0_3430,i_0_3498,i_0_3769,i_0_3775,i_0_3999,i_0_4002,i_0_4089,i_0_6554,i_0_6555,i_0_6556,i_0_3323,i_0_3326,i_0_3329,i_0_3330,i_0_3347,i_0_3362,i_0_3770,i_0_3946,i_0_3984,i_0_4085,i_0_4087,i_0_4088,i_0_4236,i_0_4292,i_0_4575,i_0_4663,i_0_6187,i_0_6558,i_0_6559,i_0_6560,i_0_6563,i_0_6564,i_0_6565,i_0_6566,i_0_6569,i_0_6573,i_0_6574,i_0_6577,i_0_6578,i_0_6579,i_0_6580,i_0_6581,i_0_6583,i_0_6584,i_0_6585,i_0_6586,i_0_6587,i_0_6588,i_0_6589,i_0_6591,i_0_6593,i_0_6594,i_0_6595,i_0_6598,i_0_6599,i_0_6600,i_0_6601,i_0_6602,i_0_6603,i_0_6604,i_0_6605,i_0_6606,i_0_6607,i_0_6608,i_0_6609,i_0_6610,i_0_6612,i_0_6614,i_0_6615,i_0_6616,i_0_6617,i_0_6618,i_0_6619,i_0_6620,i_0_6621,i_0_6622,i_0_6623,i_0_6624,i_0_6625,i_0_6626,i_0_6627,i_0_6628,i_0_6629,i_0_6630,i_0_6631,i_0_6632,i_0_6633,i_0_6634,i_0_6635,i_0_6636,i_0_6637,i_0_6638,i_0_6639,i_0_6640,i_0_6641,i_0_6642,i_0_6643,i_0_6644,i_0_6645,i_0_6646,i_0_6647,i_0_6648,i_0_6649,i_0_6650,i_0_6651,i_0_6653,i_0_6654,i_0_6655,i_0_6656,i_0_6657,i_0_6658,i_0_6659,i_0_6660,i_0_3764,i_0_3872,i_0_3873,i_0_3874,i_0_3875,i_0_3882,i_0_3885,i_0_4019,i_0_4109,i_0_4225,i_0_4226,i_0_4227,i_0_4228,i_0_4277,i_0_4368,i_0_4381,i_0_4382,i_0_4383,i_0_4384,i_0_6652,i_0_3576]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV331-1 : 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 : n016.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
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 05:03:36 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 3.87/2.78  % Version  : CSE_E---1.7
% 3.87/2.78  % Problem  : theBenchmark.p
% 3.87/2.78  % SZS status Unsatisfiable for theBenchmark.p
% 3.87/2.78  % SZS output start CNFRefutation
% See solution above
% 13.24/12.18  % Total time : 2.441s
%------------------------------------------------------------------------------