CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SET846-1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n027.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 05:08:43 PM UTC 2026

% Result   : Unsatisfiable 27.94s 20.73s
% Output   : CNFRefutation 92.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 1432)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Relation_Orel__compE_1,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__1(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),X6,X4),X3,tc_prod(X6,X4))
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OdprodE_0) ).

cnf(cls_Datatype__Universe_OdprodE_1,axiom,
    ( c_in(c_Pair(c_Main_OdprodE__2(X1,X2,X3,X4,X5),c_Main_OdprodE__4(X1,X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
    | ~ c_in(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Cons1_1) ).

cnf(cls_Datatype__Universe_OdprodI_0,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OScons(X6,X1,X3,X4),c_Datatype__Universe_OScons(X7,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odprod(X8,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X6,X7,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X8,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OuprodE_0) ).

cnf(cls_Relation_Orel__compI_0,axiom,
    ( c_in(c_Pair(X6,X2,X7,X4),c_Relation_Orel__comp(X5,X8,X3,X4,X7),tc_prod(X7,X4))
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X6,X1,X7,X3),X8,tc_prod(X7,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_Orel__compI_0) ).

cnf(cls_Datatype__Universe_Odsum__In1I_0,axiom,
    ( c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X3,X4),c_Datatype__Universe_OIn1(X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Odsum(X6,X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
    | ~ c_in(c_Pair(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_Odsum__In0I_0) ).

cnf(cls_Datatype__Universe_OuprodE_1,axiom,
    ( c_in(c_Main_OuprodE__2(X2,X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OuprodE_2) ).

cnf(cls_Relation_OImageE_0,axiom,
    ( c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4)
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_OImageE_0) ).

cnf(cls_Relation_OconverseE_0,axiom,
    ( c_in(c_Pair(c_Main_OconverseE__1(X2,X1,X3,X4),c_Main_OconverseE__2(X2,X1,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_Oconverse(X2,X3,X4),tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_OconverseE_0) ).

cnf(cls_Wellfounded__Recursion_Owf__insert__iff1_1,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).

cnf(cls_Datatype__Universe_OusumE_3,axiom,
    ( c_in(c_Main_OusumE__1(X2,X1,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | c_in(c_Main_OusumE__2(X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OusumE_1) ).

cnf(cls_Datatype__Universe_OusumE_0,axiom,
    ( X1 = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X2,X1,X4,X5),X4,X5)
    | X1 = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X3,X1,X4,X5),X4,X5)
    | ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OusumE_0) ).

cnf(cls_Sum__Type_OPlusE_0,axiom,
    ( X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X4,X5),X4,X5)
    | X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X3,X1,X5,X4),X5,X4)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X3,X4,X5),tc_sum(X4,X5)) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Sum__Type_OPlusE_3) ).

cnf(cls_Wellfounded__Recursion_Owf__insert__iff1_0,axiom,
    ( c_Wellfounded__Recursion_Owf(X4,X3)
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X4,X3)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).

cnf(cls_Relation_ORangeE_0,axiom,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X4,X3),X1,X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ORange(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_ODomainE_0) ).

cnf(cls_Wellfounded__Recursion_Owf__insert__iff2_0,axiom,
    ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Owf__insert__iff2_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0) ).

cnf(cls_Relation_OImage__singleton__iff__iff1_0,axiom,
    ( c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Relation_OImage__singleton__iff__iff1_0) ).

cnf(cls_GCD_Ogcd__greatest__iff__iff1_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff1_0) ).

cnf(cls_GCD_Ogcd__greatest__iff__iff1_1,axiom,
    ( c_Divides_Oop_Advd(X1,X3,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff1_1) ).

cnf(cls_Relation_OImage__singleton__iff__iff2_0,axiom,
    ( c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Relation_OImage__singleton__iff__iff2_0) ).

cnf(cls_Relation_Oconverse__iff__iff1_0,axiom,
    ( c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Relation_Oconverse__iff__iff1_0) ).

cnf(cls_Relation_Oconverse__iff__iff2_0,axiom,
    ( c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Relation_Oconverse__iff__iff2_0) ).

cnf(cls_Transitive__Closure_Otrancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).

cnf(cls_Relation_OImageI_0,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_OconverseE_1) ).

cnf(cls_Transitive__Closure_Otrancl_Or__into__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OuprodI_0) ).

cnf(cls_GCD_Ogcd__greatest__iff__iff2_0,axiom,
    ( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_GCD_Ogcd__greatest__iff__iff2_0) ).

cnf(cls_Relation_ODomainI_0,axiom,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_GCD_Ogcd__dvd2_0) ).

cnf(cls_List_Olistrel__Nil1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Olistrel__Nil2_0) ).

cnf(cls_List_ONil__notin__lex__iff1_0,axiom,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__notin__lex__iff1_0) ).

cnf(cls_List_ONil2__notin__lex__iff1_0,axiom,
    ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_ONil2__notin__lex__iff1_0) ).

cnf(cls_Wellfounded__Relations_Oless__than__iff__iff1_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).

cnf(cls_Relation_Opair__in__Id__conv__iff1_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Relation_Opair__in__Id__conv__iff1_0) ).

cnf(cls_Datatype__Universe_Ousum__In1I_0,axiom,
    ( c_in(c_Datatype__Universe_OIn1(X1,X3,X4),c_Datatype__Universe_Ousum(X5,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
    | ~ c_in(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_Ousum__In0I_0) ).

cnf(cls_Finite__Set_Ofinite__Diff__insert__iff1_0,axiom,
    ( c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).

cnf(cls_Product__Type_OPair__eq__iff1_0,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Product__Type_OPair__eq__iff1_0) ).

cnf(cls_Datatype__Universe_OScons__Scons__eq__iff1_0,axiom,
    ( X1 = X5
    | c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OScons(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).

cnf(cls_Product__Type_OPair__eq__iff1_1,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Product__Type_OPair__eq__iff1_1) ).

cnf(cls_Datatype__Universe_OScons__Scons__eq__iff1_1,axiom,
    ( X2 = X6
    | c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OScons(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).

cnf(cls_Sum__Type_OInrI_0,axiom,
    ( c_in(c_Sum__Type_OInr(X1,X3,X4),c_Sum__Type_OPlus(X5,X2,X4,X3),tc_sum(X4,X3))
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Sum__Type_OInlI_0) ).

cnf(cls_Relation_OdiagI_0,axiom,
    ( c_in(c_Pair(X1,X1,X3,X3),c_Relation_Odiag(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_OdiagI_0) ).

cnf(cls_Finite__Set_Ofinite__Diff__insert__iff2_0,axiom,
    ( c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).

cnf(cls_Wellfounded__Relations_Oless__than__iff__iff2_0,axiom,
    ( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).

cnf(cls_Relation_OdiagE_0,axiom,
    ( X1 = c_Pair(c_Main_OdiagE__1(X2,X1,X3),c_Main_OdiagE__1(X2,X1,X3),X3,X3)
    | ~ c_in(X1,c_Relation_Odiag(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_OdiagE_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).

cnf(cls_Wellfounded__Relations_Otrans__lex__prod_0,axiom,
    ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X3,X1,X4,X2),tc_prod(X4,X2))
    | ~ c_Relation_Otrans(X1,X2)
    | ~ c_Relation_Otrans(X3,X4) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Wellfounded__Relations_Owf__lex__prod_0) ).

cnf(cls_Relation_OIdI_0,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Relation_OIdI_0) ).

cnf(cls_List_Oappend1__eq__conv__iff1_0,axiom,
    ( X1 = X4
    | c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend1__eq__conv__iff1_0) ).

cnf(cls_List_Oappend1__eq__conv__iff1_1,axiom,
    ( X2 = X5
    | c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend1__eq__conv__iff1_1) ).

cnf(cls_Datatype__Universe_OScons__not__Numb__iff1_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_ONumb(X5,X3,X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).

cnf(cls_Datatype__Universe_OScons__not__Leaf__iff1_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OLeaf(X5,X3,X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__not__Leaf__iff1_0) ).

cnf(cls_Datatype__Universe_OScons__not__Atom__iff1_0,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OAtom(X5,X3,X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OScons__not__Atom__iff1_0) ).

cnf(cls_Datatype__Universe_ONumb__not__Scons__iff1_0,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_ONumb__not__Scons__iff1_0) ).

cnf(cls_Datatype__Universe_OLeaf__not__Scons__iff1_0,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).

cnf(cls_Datatype__Universe_OAtom__not__Scons__iff1_0,axiom,
    c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).

cnf(cls_Zorn_Oeq__succ__upper_0,axiom,
    ( c_lessequals(X4,X1,tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | X1 != c_Zorn_Osucc(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).

cnf(cls_List_Oappend__in__lists__conv__iff2_0,axiom,
    ( c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff2_0) ).

cnf(cls_Finite__Set_Ofinite__converse__iff1_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
    | ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__converse__iff1_0) ).

cnf(cls_List_Orev__eq__Cons__iff__iff2_0,axiom,
    c_List_Orev(c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__eq__Cons__iff__iff2_0) ).

cnf(cls_Relation_OIdE_0,axiom,
    ( X1 = c_Pair(c_Main_OIdE__1(X1,X2),c_Main_OIdE__1(X1,X2),X2,X2)
    | ~ c_in(X1,c_Relation_OId,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_OIdE_0) ).

cnf(cls_List_Olists_OCons_0,axiom,
    ( c_in(c_List_Olist_OCons(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Olists_OCons_0) ).

cnf(cls_Finite__Set_Ofinite__converse__iff2_0,axiom,
    ( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__converse__iff2_0) ).

cnf(cls_List_Oappend__in__lists__conv__iff1_0,axiom,
    ( c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff1_0) ).

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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_OlistsE_0) ).

cnf(cls_List_Oappend__in__lists__conv__iff1_1,axiom,
    ( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__in__lists__conv__iff1_1) ).

cnf(cls_Set_Osingleton__insert__inj__eq__iff2_0,axiom,
    ( c_insert(X2,c_emptyset,X3) = c_insert(X2,X1,X3)
    | ~ c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff2_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H__iff2_0,axiom,
    ( c_insert(X2,X1,X3) = c_insert(X2,c_emptyset,X3)
    | ~ c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff2_0) ).

cnf(cls_Set_OUnE_0,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

cnf(cls_Zorn_OTFin_OsuccI_0,axiom,
    ( c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).

cnf(cls_Set_ODiffE_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_0) ).

cnf(cls_List_OlistsE_1,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_OlistsE_1) ).

cnf(cls_Finite__Set_Ofinite__Un__iff2_0,axiom,
    ( c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff2_0) ).

cnf(cls_Set_OUnion__least_1,axiom,
    ( c_lessequals(c_Union(X1,X3),X2,tc_set(X3))
    | ~ c_lessequals(c_Main_OUnion__least__1(X1,X2,X3),X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__least_1) ).

cnf(cls_Nat_Oadd__gr__0__iff1_0,axiom,
    ( c_less(c_0,X2,tc_nat)
    | c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__gr__0__iff1_0) ).

cnf(cls_List_Oin__listsI_1,axiom,
    ( c_in(X2,c_List_Olists(X1,X3),tc_List_Olist(X3))
    | ~ c_in(c_Main_Oin__listsI__1(X1,X2,X3),X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Oin__listsI_1) ).

cnf(cls_Set_OInterI_1,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | ~ c_in(X1,c_Main_OInterI__1(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OInterI_1) ).

cnf(cls_Set_OIntI_0,axiom,
    ( c_in(X1,c_inter(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntI_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq__iff1_1,axiom,
    ( c_lessequals(X4,c_insert(X1,c_emptyset,X2),tc_set(X2))
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff1_1) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H__iff1_1,axiom,
    ( c_lessequals(X2,c_insert(X4,c_emptyset,X3),tc_set(X3))
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff1_1) ).

cnf(cls_Finite__Set_Ofinite__Union_1,axiom,
    ( c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(c_Main_Ofinite__Union__1(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_Ofinite__Union_1) ).

cnf(cls_Zorn_OTFin__UnionI_0,axiom,
    ( c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Relation_OdiagE_1) ).

cnf(cls_Set_ODiffE_1,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_1) ).

cnf(cls_Finite__Set_Ofinite__Un__iff1_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff1_0) ).

cnf(cls_Finite__Set_Ofinite__Un__iff1_1,axiom,
    ( c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Un__iff1_1) ).

cnf(cls_List_Oin__listsD__dest_0,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X4,c_List_Oset(X1,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Oin__listsD__dest_0) ).

cnf(cls_Set_ODiffI_0,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffI_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertE_0) ).

cnf(cls_Set_OIntE_1,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_1) ).

cnf(cls_Set_OIntE_0,axiom,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_0) ).

cnf(cls_Set_OUnionE_0,axiom,
    ( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_0) ).

cnf(cls_List_Orev__eq__Cons__iff__iff1_0,axiom,
    ( X1 = c_append(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__eq__Cons__iff__iff1_0) ).

cnf(cls_Set_OUnionE_1,axiom,
    ( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_1) ).

cnf(cls_Finite__Set_Ofinite__Union_0,axiom,
    ( c_in(c_Main_Ofinite__Union__1(X1,X2),X1,tc_set(X2))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_Ofinite__Union_0) ).

cnf(cls_Set_OInterD_0,axiom,
    ( c_in(X4,X1,X3)
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Inter(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OInterD_0) ).

cnf(cls_Set_OCompl__subset__Compl__iff__iff1_0,axiom,
    ( c_lessequals(X3,X1,tc_set(X2))
    | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).

cnf(cls_List_Oin__listsI_0,axiom,
    ( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | c_in(c_Main_Oin__listsI__1(X2,X1,X3),c_List_Oset(X1,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Oin__listsI_0) ).

cnf(cls_Set_OUnionI_0,axiom,
    ( c_in(X1,c_Union(X4,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnionI_0) ).

cnf(cls_Finite__Set_Ofinite__Int_0,axiom,
    ( c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_Ofinite__Int_1) ).

cnf(cls_Finite__Set_OFinites_OinsertI_0,axiom,
    ( c_in(c_insert(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_OFinites_OinsertI_0) ).

cnf(cls_Set_OUnion__least_0,axiom,
    ( c_in(c_Main_OUnion__least__1(X1,X2,X3),X1,tc_set(X3))
    | c_lessequals(c_Union(X1,X3),X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__least_0) ).

cnf(cls_Set_OsingletonD__dest_0,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsingletonD__dest_0) ).

cnf(cls_Set_OInterI_0,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OInterI_0) ).

cnf(cls_Set_OUnCI_1,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).

cnf(cls_Set_OUnCI_0,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).

cnf(cls_Set_OinsertCI_0,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_0) ).

cnf(cls_Nat_Onot__add__less1__iff1_0,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Onot__add__less1__iff1_0) ).

cnf(cls_Nat_Onot__add__less2__iff1_0,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Onot__add__less2__iff1_0) ).

cnf(cls_SetInterval_OlessThan__subset__iff__iff1_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).

cnf(cls_SetInterval_OatMost__subset__iff__iff1_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__subset__iff__iff1_0) ).

cnf(cls_SetInterval_OgreaterThan__subset__iff__iff1_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).

cnf(cls_SetInterval_OatLeast__subset__iff__iff1_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(c_SetInterval_OatLeast(X2,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).

cnf(cls_Set_OsubsetD_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

cnf(cls_Nat_Oadd__gr__0__iff2_0,axiom,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__gr__0__iff2_0) ).

cnf(cls_Nat_Oadd__gr__0__iff2_1,axiom,
    ( c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__gr__0__iff2_1) ).

cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Transitive__Closure_Or__into__rtrancl_0) ).

cnf(cls_Set_OCompl__subset__Compl__iff__iff2_0,axiom,
    ( c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).

cnf(cls_Set_OComplD__dest_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OComplD__dest_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

cnf(cls_Finite__Set_Ofinite__Pow__iff__iff1_0,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).

cnf(cls_SetInterval_OlessThan__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).

cnf(cls_SetInterval_OgreaterThan__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OgreaterThan(X3,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).

cnf(cls_SetInterval_OatMost__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__subset__iff__iff2_0) ).

cnf(cls_SetInterval_OatLeast__subset__iff__iff2_0,axiom,
    ( c_lessequals(c_SetInterval_OatLeast(X3,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).

cnf(cls_Infinite__Set_Oatmost__one__unique_0,axiom,
    ( X3 = X4
    | ~ c_Infinite__Set_Oatmost__one(X1,X2)
    | ~ c_in(X3,X1,X2)
    | ~ c_in(X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Infinite__Set_Oatmost__one__unique_0) ).

cnf(cls_Set_OPow__iff__iff1_0,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OPow__iff__iff1_0) ).

cnf(cls_Set_Osubset__antisym_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).

cnf(cls_Set_OpsubsetE_0,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).

cnf(cls_Finite__Set_Ofinite__Pow__iff__iff2_0,axiom,
    ( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).

cnf(cls_SetInterval_OatMost__iff__iff1_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__iff__iff1_0) ).

cnf(cls_SetInterval_OatLeast__iff__iff1_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeast(X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__iff__iff1_0) ).

cnf(cls_SetInterval_OlessThan__iff__iff1_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff1_0) ).

cnf(cls_SetInterval_OgreaterThan__iff__iff1_0,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__iff__iff1_0) ).

cnf(cls_Set_OUnion__upper_0,axiom,
    ( c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
    | ~ c_in(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).

cnf(cls_Set_OPow__iff__iff2_0,axiom,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OPow__iff__iff2_0) ).

cnf(cls_List_Olength__remdups__leq_0,axiom,
    c_lessequals(c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Olength__remdups__leq_0) ).

cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
    c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

cnf(cls_SetInterval_OlessThan__iff__iff2_0,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff2_0) ).

cnf(cls_SetInterval_OatMost__iff__iff2_0,axiom,
    ( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__iff__iff2_0) ).

cnf(cls_SetInterval_OgreaterThan__iff__iff2_0,axiom,
    ( c_in(X3,c_SetInterval_OgreaterThan(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__iff__iff2_0) ).

cnf(cls_SetInterval_OatLeast__iff__iff2_0,axiom,
    ( c_in(X3,c_SetInterval_OatLeast(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__iff__iff2_0) ).

cnf(cls_Sum__Type_OInr__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInr(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Sum__Type_OInr__eq__iff1_0) ).

cnf(cls_Sum__Type_OInl__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInl(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Sum__Type_OInl__eq__iff1_0) ).

cnf(cls_List_Olist_Oinject__iff1_0,axiom,
    ( X1 = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olist_Oinject__iff1_0) ).

cnf(cls_List_Oappend__same__eq__iff1_0,axiom,
    ( X1 = X4
    | c_append(X1,X2,X3) != c_append(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__same__eq__iff1_0) ).

cnf(cls_Datatype__Universe_ONumb__inject__dest_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Datatype__Universe_OLeaf__inject__dest_0) ).

cnf(cls_Datatype__Universe_OIn1__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OIn1__eq__iff1_0) ).

cnf(cls_Datatype__Universe_OIn0__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OIn0__eq__iff1_0) ).

cnf(cls_Datatype__Universe_OAtom__Atom__eq__iff1_0,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).

cnf(cls_List_Osame__append__eq__iff1_0,axiom,
    ( X2 = X4
    | c_append(X1,X2,X3) != c_append(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Osame__append__eq__iff1_0) ).

cnf(cls_List_Olist_Oinject__iff1_1,axiom,
    ( X2 = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olist_Oinject__iff1_1) ).

cnf(cls_IntDiv_Ozminus__dvd__iff__iff1_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).

cnf(cls_IntDiv_Odvd__zminus__iff__iff1_0,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).

cnf(cls_Sum__Type_OInr__not__Inl__iff1_0,axiom,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Sum__Type_OInr__not__Inl__iff1_0) ).

cnf(cls_Sum__Type_OInl__not__Inr__iff1_0,axiom,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Sum__Type_OInl__not__Inr__iff1_0) ).

cnf(cls_Datatype__Universe_ONumb__not__Leaf__iff1_0,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).

cnf(cls_Datatype__Universe_OLeaf__not__Numb__iff1_0,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OLeaf__not__Numb__iff1_0) ).

cnf(cls_Datatype__Universe_OIn1__not__In0__iff1_0,axiom,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).

cnf(cls_Datatype__Universe_OIn0__not__In1__iff1_0,axiom,
    c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype__Universe_OIn0__not__In1__iff1_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq__iff1_0,axiom,
    ( X3 = X1
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq__iff1_0) ).

cnf(cls_Set_Osingleton__insert__inj__eq_H__iff1_0,axiom,
    ( X1 = X4
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).

cnf(cls_Set_Osingleton__inject__dest_0,axiom,
    ( X1 = X3
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,c_emptyset,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osingleton__inject__dest_0) ).

cnf(cls_IntDiv_Ozmod__eq__0D__dest_0,axiom,
    ( X1 = c_times(X2,c_Main_Ozmod__eq__0D__dest__1(X2,X1),tc_IntDef_Oint)
    | c_Divides_Oop_Amod(X1,X2,tc_IntDef_Oint) != c_0 ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Divides_Omod__eq__0D__dest_0) ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).

cnf(cls_IntDiv_Ozminus__dvd__iff__iff2_0,axiom,
    ( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).

cnf(cls_IntDiv_Odvd__zminus__iff__iff2_0,axiom,
    ( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).

cnf(cls_SetInterval_Ofinite__greaterThanLessThan__int_0,axiom,
    c_in(c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__atLeastAtMost_0) ).

cnf(cls_Set_OpsubsetI_0,axiom,
    ( c_less(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).

cnf(cls_Set_OsingletonI_0,axiom,
    c_in(X1,c_insert(X1,c_emptyset,X2),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsingletonI_0) ).

cnf(cls_IntDiv_Ozdvd__triv__left_0,axiom,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Divides_Odvd__triv__right_0) ).

cnf(cls_Set_OpsubsetE_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_1) ).

cnf(cls_Nat_OSuc__le__mono__iff1_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__le__mono__iff1_0) ).

cnf(cls_Nat_OSuc__less__eq__iff1_0,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__less__eq__iff1_0) ).

cnf(cls_Nat_OSuc__le__mono__iff2_0,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__le__mono__iff2_0) ).

cnf(cls_Nat_OSuc__less__eq__iff2_0,axiom,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__less__eq__iff2_0) ).

cnf(cls_Set_OComplI_0,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OComplI_0) ).

cnf(cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).

cnf(cls_Datatype_Oelem__o2s__iff1_0,axiom,
    ( X2 = c_Datatype_Ooption_OSome(X1,X3)
    | ~ c_in(X1,c_Datatype_Oo2s(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Oelem__o2s__iff1_0) ).

cnf(cls_List_Olength__greater__0__conv__iff1_0,axiom,
    ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__greater__0__conv__iff1_0) ).

cnf(cls_Datatype_Oelem__o2s__iff2_0,axiom,
    c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Oelem__o2s__iff2_0) ).

cnf(cls_List_Olength__remdups__eq__iff1_0,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__remdups__eq__iff1_0) ).

cnf(cls_IntDef_Onegative__zless_0,axiom,
    c_less(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_IntDef_Onegative__zless_0) ).

cnf(cls_IntDef_Onegative__zle_0,axiom,
    c_lessequals(c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_IntDef_Onegative__zle_0) ).

cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Orderings_Oorder__less__irrefl__iff1_0) ).

cnf(cls_Set_Onot__psubset__empty__iff1_0,axiom,
    ~ c_less(X1,c_emptyset,tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_Onot__psubset__empty__iff1_0) ).

cnf(cls_List_Olength__greater__0__conv__iff2_0,axiom,
    ( c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
    | X1 = c_List_Olist_ONil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__greater__0__conv__iff2_0) ).

cnf(cls_Nat_Oless__Suc0__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oless__Suc0__iff1_0) ).

cnf(cls_List_Oappend__self__conv2__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__self__conv2__iff1_0) ).

cnf(cls_List_Oappend__self__conv__iff1_0,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__self__conv__iff1_0) ).

cnf(cls_List_Oself__append__conv__iff1_0,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oself__append__conv__iff1_0) ).

cnf(cls_List_Oself__append__conv2__iff1_0,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oself__append__conv2__iff1_0) ).

cnf(cls_List_Oappend__is__Nil__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff1_0) ).

cnf(cls_Set_OUn__empty__iff1_0,axiom,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUn__empty__iff1_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty__iff1_0,axiom,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty__iff1_0) ).

cnf(cls_List_Oappend__is__Nil__conv__iff1_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff1_1) ).

cnf(cls_Set_OUn__empty__iff1_1,axiom,
    ( X2 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUn__empty__iff1_1) ).

cnf(cls_List_ONil__is__append__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__append__conv__iff1_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff1_0,axiom,
    ( X1 = c_emptyset
    | c_emptyset != c_Equiv__Relations_Oquotient(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).

cnf(cls_List_ONil__is__append__conv__iff1_1,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__append__conv__iff1_1) ).

cnf(cls_Infinite__Set_Onat__not__finite_0,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Infinite__Set_Onat__not__finite_0) ).

cnf(cls_List_Olist_Odistinct__2__iff1_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olist_Odistinct__2__iff1_0) ).

cnf(cls_List_Olist_Odistinct__1__iff1_0,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olist_Odistinct__1__iff1_0) ).

cnf(cls_Nat_Oadd__is__0__iff1_0,axiom,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__is__0__iff1_0) ).

cnf(cls_Nat_Oadd__is__0__iff1_1,axiom,
    ( X2 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__is__0__iff1_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Olists_ONil_0) ).

cnf(cls_Set_OemptyE_0,axiom,
    ~ c_in(X1,c_emptyset,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OemptyE_0) ).

cnf(cls_Nat_Oless__irrefl_0,axiom,
    ~ c_less(X1,X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Nat_Oless__irrefl_0) ).

cnf(cls_IntDiv_Ozdvd__0__left__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Ozdvd__0__left__iff1_0) ).

cnf(cls_Divides_Odvd__0__left__iff__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Divides_Odvd__0__left__iff__iff1_0) ).

cnf(cls_Nat_Ole__0__eq__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Ole__0__eq__iff1_0) ).

cnf(cls_Nat_Oless__one__iff1_0,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oless__one__iff1_0) ).

cnf(cls_Nat_Onot__less0__iff1_0,axiom,
    ~ c_less(X1,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Onot__less0__iff1_0) ).

cnf(cls_SetInterval_Ofinite__lessThan_0,axiom,
    c_in(c_SetInterval_OlessThan(X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_SetInterval_Ofinite__atMost_0) ).

cnf(cls_Nat_Oneq0__conv__iff2_0,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oneq0__conv__iff2_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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Owf__lenlex_0) ).

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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Owf__lex_0) ).

cnf(cls_Set_OCompl__eq__Compl__iff__iff1_0,axiom,
    ( X1 = X3
    | c_uminus(X1,tc_set(X2)) != c_uminus(X3,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).

cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).

cnf(cls_Set_Oempty__subsetI_0,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Oempty__subsetI_0) ).

cnf(cls_Nat_OlessI_0,axiom,
    c_less(X1,c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Nat_Ozero__less__Suc_0) ).

cnf(cls_Finite__Set_OFinites_OemptyI_0,axiom,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Finite__Set_OFinites_OemptyI_0) ).

cnf(cls_Divides_Odvd__1__left_0,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Divides_Odvd__1__left_0) ).

cnf(cls_Nat_Oless__Suc0__iff2_0,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oless__Suc0__iff2_0) ).

cnf(cls_List_Oappend__self__conv2__iff2_0,axiom,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__self__conv2__iff2_0) ).

cnf(cls_List_Oappend__self__conv__iff2_0,axiom,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__self__conv__iff2_0) ).

cnf(cls_List_Oself__append__conv2__iff2_0,axiom,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oself__append__conv2__iff2_0) ).

cnf(cls_List_Oself__append__conv__iff2_0,axiom,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oself__append__conv__iff2_0) ).

cnf(cls_SetInterval_OlessThan__eq__iff__iff1_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OlessThan(X2,X1) != c_SetInterval_OlessThan(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).

cnf(cls_SetInterval_OgreaterThan__eq__iff__iff1_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OgreaterThan(X2,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).

cnf(cls_SetInterval_OatMost__eq__iff__iff1_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatMost(X2,X1) != c_SetInterval_OatMost(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__eq__iff__iff1_0) ).

cnf(cls_SetInterval_OatLeast__eq__iff__iff1_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatLeast(X2,X1) != c_SetInterval_OatLeast(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).

cnf(cls_Nat_Oneq0__conv__iff1_0,axiom,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oneq0__conv__iff1_0) ).

cnf(cls_Set_OUNIV__I_0,axiom,
    c_in(X1,c_UNIV,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OUNIV__I_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty__iff2_0,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).

cnf(cls_Equiv__Relations_Oquotient__is__empty2__iff2_0,axiom,
    c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Equiv__Relations_Oquotient__is__empty2__iff2_0) ).

cnf(cls_Nat_Ole0_0,axiom,
    c_lessequals(c_0,X1,tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Divides_Odvd__0__right_0) ).

cnf(cls_List_Oappend__is__Nil__conv__iff2_0,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oappend__is__Nil__conv__iff2_0) ).

cnf(cls_Set_OUn__empty__iff2_0,axiom,
    c_union(c_emptyset,c_emptyset,X1) = c_emptyset,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUn__empty__iff2_0) ).

cnf(cls_List_ONil__is__append__conv__iff2_0,axiom,
    c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__append__conv__iff2_0) ).

cnf(cls_Nat_Ole__0__eq__iff2_0,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Ole__0__eq__iff2_0) ).

cnf(cls_Nat_Oless__one__iff2_0,axiom,
    c_less(c_0,c_1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oless__one__iff2_0) ).

cnf(cls_IntDiv_Ozdvd__0__left__iff2_0,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_IntDiv_Ozdvd__0__left__iff2_0) ).

cnf(cls_Divides_Odvd__0__left__iff__iff2_0,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Divides_Odvd__0__left__iff__iff2_0) ).

cnf(cls_Nat_Oadd__is__0__iff2_0,axiom,
    c_plus(c_0,c_0,tc_nat) = c_0,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_Oadd__is__0__iff2_0) ).

cnf(cls_List_Ochar_Oinject__iff1_0,axiom,
    ( X1 = X3
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Ochar_Oinject__iff1_0) ).

cnf(cls_List_Orev__is__rev__conv__iff1_0,axiom,
    ( X1 = X3
    | c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__is__rev__conv__iff1_0) ).

cnf(cls_Datatype_Ooption_Oinject__iff1_0,axiom,
    ( X1 = X3
    | c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_OSome(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Ooption_Oinject__iff1_0) ).

cnf(cls_List_Ochar_Oinject__iff1_1,axiom,
    ( X2 = X4
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Ochar_Oinject__iff1_1) ).

cnf(clsarity_fun_0,axiom,
    ( class_Finite__Set_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_prod_0) ).

cnf(cls_Datatype_Onot__Some__eq__iff1_0,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Onot__Some__eq__iff1_0) ).

cnf(cls_Datatype_Onot__None__eq__iff1_0,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Onot__None__eq__iff1_0) ).

cnf(cls_List_Odistinct__remdups_0,axiom,
    c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_List_Odistinct__remdups_0) ).

cnf(cls_List_Olength__0__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__0__conv__iff1_0) ).

cnf(clsarity_fun_1,axiom,
    class_Nat_Opower(tc_fun(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_fun_1) ).

cnf(cls_List_Oset__empty__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oset__empty__iff1_0) ).

cnf(cls_List_Orev__is__Nil__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__is__Nil__conv__iff1_0) ).

cnf(cls_List_ONil__is__rev__conv__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Orev(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__rev__conv__iff1_0) ).

cnf(cls_List_Oset__empty2__iff1_0,axiom,
    ( X1 = c_List_Olist_ONil
    | c_emptyset != c_List_Oset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oset__empty2__iff1_0) ).

cnf(cls_Datatype_Ooption_Odistinct__2__iff1_0,axiom,
    c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_ONone,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Ooption_Odistinct__2__iff1_0) ).

cnf(cls_Datatype_Ooption_Odistinct__1__iff1_0,axiom,
    c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).

cnf(cls_List_Olength__0__conv__iff2_0,axiom,
    c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_0,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Olength__0__conv__iff2_0) ).

cnf(clsarity_Datatype__Ooption_0,axiom,
    ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_set_3) ).

cnf(cls_Nat_OSuc__Suc__eq__iff1_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__Suc__eq__iff1_0) ).

cnf(cls_IntDef_Oint__int__eq__iff1_0,axiom,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_IntDef_Oint__int__eq__iff1_0) ).

cnf(cls_Wellfounded__Recursion_Owf__empty_0,axiom,
    c_Wellfounded__Recursion_Owf(c_emptyset,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Wellfounded__Recursion_Owf__empty_0) ).

cnf(cls_List_Oset__empty__iff2_0,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oset__empty__iff2_0) ).

cnf(cls_List_Orev__is__Nil__conv__iff2_0,axiom,
    c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Orev__is__Nil__conv__iff2_0) ).

cnf(cls_List_ONil__is__rev__conv__iff2_0,axiom,
    c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_ONil__is__rev__conv__iff2_0) ).

cnf(cls_List_Oset__empty2__iff2_0,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_List_Oset__empty2__iff2_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
    ( class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_24) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_51,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).

cnf(clsrel_LOrder_Olorder_3,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Olorder_3) ).

cnf(clsrel_Orderings_Olinorder_1,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_1) ).

cnf(clsrel_Ring__and__Field_Oordered__field_53,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).

cnf(clsrel_LOrder_Olorder_0,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Olorder_0) ).

cnf(clsrel_Orderings_Olinorder_2,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_2) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oab__group__add_0) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).

cnf(clsrel_LOrder_Olorder_1,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Olorder(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Omeet__semilorder_0) ).

cnf(clsrel_Orderings_Olinorder_3,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_3) ).

cnf(clsrel_Orderings_Oorder_0,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Oorder_0) ).

cnf(clsrel_Ring__and__Field_Oordered__field_41,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).

cnf(clsrel_LOrder_Olorder_2,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_LOrder_Omeet__semilorder_1) ).

cnf(clsrel_Orderings_Olinorder_4,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_4) ).

cnf(cls_Wellfounded__Relations_Otrans__less__than_0,axiom,
    c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Wellfounded__Relations_Owf__less__than_0) ).

cnf(clsarity_set_4,axiom,
    class_Nat_Opower(tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_set_4) ).

cnf(clsarity_set_0,axiom,
    class_HOL_Ominus(tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_set_0) ).

cnf(clsarity_set_1,axiom,
    class_Orderings_Oord(tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_set_1) ).

cnf(clsarity_set_2,axiom,
    class_Orderings_Oorder(tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_set_2) ).

cnf(cls_Nat_OSuc__not__Zero__iff1_0,axiom,
    c_Suc(X1) != c_0,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_OSuc__not__Zero__iff1_0) ).

cnf(cls_Nat_OZero__not__Suc__iff1_0,axiom,
    c_0 != c_Suc(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Nat_OZero__not__Suc__iff1_0) ).

cnf(clsarity_nat_8,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_9) ).

cnf(clsarity_nat_17,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_17) ).

cnf(clsarity_IntDef__Oint_8,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_8) ).

cnf(clsarity_nat_16,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_7) ).

cnf(clsarity_nat_15,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_15) ).

cnf(clsarity_IntDef__Oint_64,axiom,
    class_Parity_Oeven__odd(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_64) ).

cnf(clsarity_nat_47,axiom,
    class_Parity_Oeven__odd(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_47) ).

cnf(clsarity_IntDef__Oint_63,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_63) ).

cnf(clsarity_nat_45,axiom,
    class_Power_Orecpower(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_45) ).

cnf(clsarity_IntDef__Oint_62,axiom,
    class_Nat_Opower(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_62) ).

cnf(clsarity_nat_12,axiom,
    class_Nat_Opower(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_12) ).

cnf(clsarity_IntDef__Oint_61,axiom,
    class_Divides_Odiv(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_61) ).

cnf(clsarity_nat_44,axiom,
    class_Divides_Odiv(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_44) ).

cnf(clsarity_IntDef__Oint_60,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_6) ).

cnf(clsarity_nat_14,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_14) ).

cnf(clsarity_IntDef__Oint_59,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_59) ).

cnf(clsarity_nat_46,axiom,
    class_Numeral_Onumber(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_50) ).

cnf(clsarity_IntDef__Oint_49,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_37) ).

cnf(clsarity_IntDef__Oint_4,axiom,
    class_HOL_Ozero(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_4) ).

cnf(clsarity_nat_1,axiom,
    class_HOL_Ozero(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_33) ).

cnf(clsarity_IntDef__Oint_34,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_34) ).

cnf(clsarity_nat_6,axiom,
    class_LOrder_Olorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_6) ).

cnf(clsarity_IntDef__Oint_33,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_33) ).

cnf(clsarity_nat_5,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_5) ).

cnf(clsarity_IntDef__Oint_32,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_32) ).

cnf(clsarity_nat_4,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_30) ).

cnf(clsarity_IntDef__Oint_3,axiom,
    class_HOL_Otimes(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_3) ).

cnf(clsarity_nat_11,axiom,
    class_HOL_Otimes(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_24) ).

cnf(clsarity_nat_24,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_24) ).

cnf(clsarity_IntDef__Oint_23,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_23) ).

cnf(clsarity_nat_23,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_31) ).

cnf(clsarity_IntDef__Oint_2,axiom,
    class_HOL_Oplus(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_2) ).

cnf(clsarity_nat_10,axiom,
    class_HOL_Oplus(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_15) ).

cnf(clsarity_nat_27,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_12) ).

cnf(clsarity_nat_20,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_10) ).

cnf(clsarity_nat_18,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_18) ).

cnf(clsarity_IntDef__Oint_1,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_1) ).

cnf(clsarity_nat_0,axiom,
    class_HOL_Oone(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_0) ).

cnf(clsarity_IntDef__Oint_0,axiom,
    class_HOL_Ominus(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_0) ).

cnf(clsarity_nat_9,axiom,
    class_HOL_Ominus(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_9) ).

cnf(clsarity_bool_0,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_Product____Type__Ounit_0) ).

cnf(clsarity_IntDef__Oint_5,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_5) ).

cnf(clsarity_nat_2,axiom,
    class_Orderings_Oord(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_2) ).

cnf(clsarity_IntDef__Oint_35,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_35) ).

cnf(clsarity_nat_7,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_7) ).

cnf(clsarity_IntDef__Oint_31,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_31) ).

cnf(clsarity_nat_3,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_nat_3) ).

cnf(cls_Numeral_Obit_Odistinct__2__iff1_0,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Numeral_Obit_Odistinct__2__iff1_0) ).

cnf(cls_Numeral_Obit_Odistinct__1__iff1_0,axiom,
    c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Numeral_Obit_Odistinct__1__iff1_0) ).

cnf(cls_Set_OUNIV__not__empty__iff1_0,axiom,
    c_UNIV != c_emptyset,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUNIV__not__empty__iff1_0) ).

cnf(cls_Extraction_Osumbool_Odistinct__2__iff1_0,axiom,
    c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).

cnf(cls_Extraction_Osumbool_Odistinct__1__iff1_0,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).

cnf(i_0_1365,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_1366,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_1367,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_1368,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_1369,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_1370,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_1371,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_1372,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_1373,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_1374,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_1375,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_1376,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_1377,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_1378,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_1379,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_1380,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_1381,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_1382,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_1383,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_1384,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_1385,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_1386,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_1387,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_1388,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_1389,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_1390,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_1391,axiom,
    ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Wellfounded__Recursion_Owf__insert__iff1_1,
    [final] ).

cnf(i_0_1392,axiom,
    ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1,
    [final] ).

cnf(i_0_1393,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_1394,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_1395,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_1396,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_1397,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_1398,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_1399,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_1400,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_1401,axiom,
    ( c_Wellfounded__Recursion_Owf(X4,X3)
    | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    cls_Wellfounded__Recursion_Owf__insert__iff1_0,
    [final] ).

cnf(i_0_1402,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X4,X3)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0,
    [final] ).

cnf(i_0_1403,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_1404,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_1405,axiom,
    ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Owf(X1,X2) ),
    cls_Wellfounded__Recursion_Owf__insert__iff2_0,
    [final] ).

cnf(i_0_1406,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2)
    | c_in(c_Pair(X4,X3,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0,
    [final] ).

cnf(i_0_1407,axiom,
    ( c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,X5),X5) ),
    cls_Relation_OImage__singleton__iff__iff1_0,
    [final] ).

cnf(i_0_1408,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    cls_GCD_Ogcd__greatest__iff__iff1_0,
    [final] ).

cnf(i_0_1409,axiom,
    ( c_Divides_Oop_Advd(X1,X3,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat) ),
    cls_GCD_Ogcd__greatest__iff__iff1_1,
    [final] ).

cnf(i_0_1410,axiom,
    ( c_in(X2,c_Relation_OImage(X5,c_insert(X1,c_emptyset,X3),X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    cls_Relation_OImage__singleton__iff__iff2_0,
    [final] ).

cnf(i_0_1411,axiom,
    ( c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4)) ),
    cls_Relation_Oconverse__iff__iff1_0,
    [final] ).

cnf(i_0_1412,axiom,
    ( c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    cls_Relation_Oconverse__iff__iff2_0,
    [final] ).

cnf(i_0_1413,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Transitive__Closure_Otrancl__into__rtrancl_0,
    [final] ).

cnf(i_0_1414,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_1415,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_1416,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_1417,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_1418,axiom,
    ( c_Divides_Oop_Advd(X1,c_GCD_Ogcd(c_Pair(X3,X2,tc_nat,tc_nat)),tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_nat)
    | ~ c_Divides_Oop_Advd(X1,X3,tc_nat) ),
    cls_GCD_Ogcd__greatest__iff__iff2_0,
    [final] ).

cnf(i_0_1419,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_1420,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_1421,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_1422,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_1423,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_1424,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_1425,axiom,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    cls_List_ONil__notin__lex__iff1_0,
    [final] ).

cnf(i_0_1426,axiom,
    ~ c_in(c_Pair(X1,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    cls_List_ONil2__notin__lex__iff1_0,
    [final] ).

cnf(i_0_1427,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
    cls_Wellfounded__Relations_Oless__than__iff__iff1_0,
    [final] ).

cnf(i_0_1428,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
    cls_Relation_Opair__in__Id__conv__iff1_0,
    [final] ).

cnf(i_0_1429,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_1430,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_1431,axiom,
    ( c_in(c_minus(X1,X3,tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4))
    | ~ c_in(c_minus(X1,c_insert(X2,X3,X4),tc_set(X4)),c_Finite__Set_OFinites,tc_set(X4)) ),
    cls_Finite__Set_Ofinite__Diff__insert__iff1_0,
    [final] ).

cnf(i_0_1432,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Product__Type_OPair__eq__iff1_0,
    [final] ).

cnf(i_0_1433,axiom,
    ( X1 = X5
    | c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OScons(X5,X6,X3,X4) ),
    cls_Datatype__Universe_OScons__Scons__eq__iff1_0,
    [final] ).

cnf(i_0_1434,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Product__Type_OPair__eq__iff1_1,
    [final] ).

cnf(i_0_1435,axiom,
    ( X2 = X6
    | c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OScons(X5,X6,X3,X4) ),
    cls_Datatype__Universe_OScons__Scons__eq__iff1_1,
    [final] ).

cnf(i_0_1436,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_1437,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_1438,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_1439,axiom,
    ( c_in(c_minus(X1,c_insert(X4,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_minus(X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
    cls_Finite__Set_Ofinite__Diff__insert__iff2_0,
    [final] ).

cnf(i_0_1440,axiom,
    ( c_in(c_Pair(X1,X2,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Wellfounded__Relations_Oless__than__iff__iff2_0,
    [final] ).

cnf(i_0_1441,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_1442,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    cls_conjecture_1,
    [final] ).

cnf(i_0_1443,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,
    [final] ).

cnf(i_0_1444,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_1445,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_1446,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    cls_Relation_OIdI_0,
    [final] ).

cnf(i_0_1447,axiom,
    ( X1 = X4
    | c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3) ),
    cls_List_Oappend1__eq__conv__iff1_0,
    [final] ).

cnf(i_0_1448,axiom,
    ( X2 = X5
    | c_append(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil,X3),X3) != c_append(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil,X3),X3) ),
    cls_List_Oappend1__eq__conv__iff1_1,
    [final] ).

cnf(i_0_1449,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_ONumb(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Numb__iff1_0,
    [final] ).

cnf(i_0_1450,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OLeaf(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Leaf__iff1_0,
    [final] ).

cnf(i_0_1451,axiom,
    c_Datatype__Universe_OScons(X1,X2,X3,X4) != c_Datatype__Universe_OAtom(X5,X3,X4),
    cls_Datatype__Universe_OScons__not__Atom__iff1_0,
    [final] ).

cnf(i_0_1452,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_ONumb__not__Scons__iff1_0,
    [final] ).

cnf(i_0_1453,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_OLeaf__not__Scons__iff1_0,
    [final] ).

cnf(i_0_1454,axiom,
    c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    cls_Datatype__Universe_OAtom__not__Scons__iff1_0,
    [final] ).

cnf(i_0_1455,axiom,
    ( c_lessequals(X4,X1,tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X4,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | X1 != c_Zorn_Osucc(X2,X1,X3) ),
    cls_Zorn_Oeq__succ__upper_0,
    [final] ).

cnf(i_0_1456,axiom,
    ( c_in(c_append(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
    | ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
    cls_List_Oappend__in__lists__conv__iff2_0,
    [final] ).

cnf(i_0_1457,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3)))
    | ~ c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))) ),
    cls_Finite__Set_Ofinite__converse__iff1_0,
    [final] ).

cnf(i_0_1458,axiom,
    c_List_Orev(c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
    cls_List_Orev__eq__Cons__iff__iff2_0,
    [final] ).

cnf(i_0_1459,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_1460,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_1461,axiom,
    ( c_in(c_Relation_Oconverse(X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))) ),
    cls_Finite__Set_Ofinite__converse__iff2_0,
    [final] ).

cnf(i_0_1462,axiom,
    ( c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    cls_List_Oappend__in__lists__conv__iff1_0,
    [final] ).

cnf(i_0_1463,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_1464,axiom,
    ( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
    | ~ c_in(c_append(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
    cls_List_Oappend__in__lists__conv__iff1_1,
    [final] ).

cnf(i_0_1465,axiom,
    ( c_insert(X2,c_emptyset,X3) = c_insert(X2,X1,X3)
    | ~ c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    cls_Set_Osingleton__insert__inj__eq__iff2_0,
    [final] ).

cnf(i_0_1466,axiom,
    ( c_insert(X2,X1,X3) = c_insert(X2,c_emptyset,X3)
    | ~ c_lessequals(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)) ),
    cls_Set_Osingleton__insert__inj__eq_H__iff2_0,
    [final] ).

cnf(i_0_1467,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    cls_Set_OUnE_0,
    [final] ).

cnf(i_0_1468,axiom,
    ( c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    cls_Zorn_OTFin_OsuccI_0,
    [final] ).

cnf(i_0_1469,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    cls_Set_ODiffE_0,
    [final] ).

cnf(i_0_1470,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_1471,axiom,
    ( c_in(c_union(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X3,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Un__iff2_0,
    [final] ).

cnf(i_0_1472,axiom,
    ( c_lessequals(c_Union(X1,X3),X2,tc_set(X3))
    | ~ c_lessequals(c_Main_OUnion__least__1(X1,X2,X3),X2,tc_set(X3)) ),
    cls_Set_OUnion__least_1,
    [final] ).

cnf(i_0_1473,axiom,
    ( c_less(c_0,X2,tc_nat)
    | c_less(c_0,X1,tc_nat)
    | ~ c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat) ),
    cls_Nat_Oadd__gr__0__iff1_0,
    [final] ).

cnf(i_0_1474,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_1475,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_1476,axiom,
    ( c_in(X1,c_inter(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    cls_Set_OIntI_0,
    [final] ).

cnf(i_0_1477,axiom,
    ( c_lessequals(X4,c_insert(X1,c_emptyset,X2),tc_set(X2))
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    cls_Set_Osingleton__insert__inj__eq__iff1_1,
    [final] ).

cnf(i_0_1478,axiom,
    ( c_lessequals(X2,c_insert(X4,c_emptyset,X3),tc_set(X3))
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    cls_Set_Osingleton__insert__inj__eq_H__iff1_1,
    [final] ).

cnf(i_0_1479,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_1480,axiom,
    ( c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3)))) ),
    cls_Zorn_OTFin__UnionI_0,
    [final] ).

cnf(i_0_1481,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_1482,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    cls_Set_ODiffE_1,
    [final] ).

cnf(i_0_1483,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    cls_Finite__Set_Ofinite__Un__iff1_0,
    [final] ).

cnf(i_0_1484,axiom,
    ( c_in(X2,c_Finite__Set_OFinites,tc_set(X3))
    | ~ c_in(c_union(X1,X2,X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    cls_Finite__Set_Ofinite__Un__iff1_1,
    [final] ).

cnf(i_0_1485,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_1486,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_ODiffI_0,
    [final] ).

cnf(i_0_1487,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_1488,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_0,
    [final] ).

cnf(i_0_1489,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    cls_Set_OIntE_1,
    [final] ).

cnf(i_0_1490,axiom,
    ( c_in(X1,X3,X4)
    | ~ c_in(X1,c_inter(X2,X3,X4),X4) ),
    cls_Set_OIntE_0,
    [final] ).

cnf(i_0_1491,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_1492,axiom,
    ( X1 = c_append(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    cls_List_Orev__eq__Cons__iff__iff1_0,
    [final] ).

cnf(i_0_1493,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_1494,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_1495,axiom,
    ( c_in(X4,X1,X3)
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Inter(X2,X3),X3) ),
    cls_Set_OInterD_0,
    [final] ).

cnf(i_0_1496,axiom,
    ( c_lessequals(X3,X1,tc_set(X2))
    | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2)) ),
    cls_Set_OCompl__subset__Compl__iff__iff1_0,
    [final] ).

cnf(i_0_1497,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_1498,axiom,
    ( c_in(X1,c_Union(X4,X3),X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X2,X4,tc_set(X3)) ),
    cls_Set_OUnionI_0,
    [final] ).

cnf(i_0_1499,axiom,
    ( c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Int_0,
    [final] ).

cnf(i_0_1500,axiom,
    ( c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Int_1,
    [final] ).

cnf(i_0_1501,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_1502,axiom,
    ( c_in(c_Main_OUnion__least__1(X1,X2,X3),X1,tc_set(X3))
    | c_lessequals(c_Union(X1,X3),X2,tc_set(X3)) ),
    cls_Set_OUnion__least_0,
    [final] ).

cnf(i_0_1503,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
    cls_Set_OsingletonD__dest_0,
    [final] ).

cnf(i_0_1504,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_1505,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_1,
    [final] ).

cnf(i_0_1506,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_0,
    [final] ).

cnf(i_0_1507,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OinsertCI_0,
    [final] ).

cnf(i_0_1508,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
    cls_Nat_Onot__add__less1__iff1_0,
    [final] ).

cnf(i_0_1509,axiom,
    ~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
    cls_Nat_Onot__add__less2__iff1_0,
    [final] ).

cnf(i_0_1510,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
    cls_SetInterval_OlessThan__subset__iff__iff1_0,
    [final] ).

cnf(i_0_1511,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
    cls_SetInterval_OatMost__subset__iff__iff1_0,
    [final] ).

cnf(i_0_1512,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_SetInterval_OgreaterThan(X2,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
    cls_SetInterval_OgreaterThan__subset__iff__iff1_0,
    [final] ).

cnf(i_0_1513,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(c_SetInterval_OatLeast(X2,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
    cls_SetInterval_OatLeast__subset__iff__iff1_0,
    [final] ).

cnf(i_0_1514,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_1515,axiom,
    ( c_less(c_0,c_plus(X1,X2,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Nat_Oadd__gr__0__iff2_0,
    [final] ).

cnf(i_0_1516,axiom,
    ( c_less(c_0,c_plus(X2,X1,tc_nat),tc_nat)
    | ~ c_less(c_0,X1,tc_nat) ),
    cls_Nat_Oadd__gr__0__iff2_1,
    [final] ).

cnf(i_0_1517,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    cls_Transitive__Closure_Or__into__rtrancl_0,
    [final] ).

cnf(i_0_1518,axiom,
    ( c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OCompl__subset__Compl__iff__iff2_0,
    [final] ).

cnf(i_0_1519,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    cls_Set_OComplD__dest_0,
    [final] ).

cnf(i_0_1520,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_1521,axiom,
    ( c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | ~ c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
    cls_Finite__Set_Ofinite__Pow__iff__iff1_0,
    [final] ).

cnf(i_0_1522,axiom,
    ( c_lessequals(c_SetInterval_OlessThan(X2,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OlessThan__subset__iff__iff2_0,
    [final] ).

cnf(i_0_1523,axiom,
    ( c_lessequals(c_SetInterval_OgreaterThan(X3,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OgreaterThan__subset__iff__iff2_0,
    [final] ).

cnf(i_0_1524,axiom,
    ( c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatMost__subset__iff__iff2_0,
    [final] ).

cnf(i_0_1525,axiom,
    ( c_lessequals(c_SetInterval_OatLeast(X3,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatLeast__subset__iff__iff2_0,
    [final] ).

cnf(i_0_1526,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(X1,X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
    cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0,
    [final] ).

cnf(i_0_1527,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_1528,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    cls_Set_OPow__iff__iff1_0,
    [final] ).

cnf(i_0_1529,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_1530,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    cls_Set_OpsubsetE_0,
    [final] ).

cnf(i_0_1531,axiom,
    ( c_in(c_Pow(X1,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
    | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
    cls_Finite__Set_Ofinite__Pow__iff__iff2_0,
    [final] ).

cnf(i_0_1532,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
    cls_SetInterval_OatMost__iff__iff1_0,
    [final] ).

cnf(i_0_1533,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OatLeast(X3,X1),X1) ),
    cls_SetInterval_OatLeast__iff__iff1_0,
    [final] ).

cnf(i_0_1534,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    cls_SetInterval_OlessThan__iff__iff1_0,
    [final] ).

cnf(i_0_1535,axiom,
    ( c_less(X3,X2,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OgreaterThan(X3,X1),X1) ),
    cls_SetInterval_OgreaterThan__iff__iff1_0,
    [final] ).

cnf(i_0_1536,axiom,
    ( c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
    | ~ c_in(X1,X2,tc_set(X3)) ),
    cls_Set_OUnion__upper_0,
    [final] ).

cnf(i_0_1537,axiom,
    ( c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OPow__iff__iff2_0,
    [final] ).

cnf(i_0_1538,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_1539,axiom,
    c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
    cls_Zorn_OAbrial__axiom1_0,
    [final] ).

cnf(i_0_1540,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OlessThan__iff__iff2_0,
    [final] ).

cnf(i_0_1541,axiom,
    ( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatMost__iff__iff2_0,
    [final] ).

cnf(i_0_1542,axiom,
    ( c_in(X3,c_SetInterval_OgreaterThan(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OgreaterThan__iff__iff2_0,
    [final] ).

cnf(i_0_1543,axiom,
    ( c_in(X3,c_SetInterval_OatLeast(X2,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_SetInterval_OatLeast__iff__iff2_0,
    [final] ).

cnf(i_0_1544,axiom,
    ( X1 = X4
    | c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInr(X4,X2,X3) ),
    cls_Sum__Type_OInr__eq__iff1_0,
    [final] ).

cnf(i_0_1545,axiom,
    ( X1 = X4
    | c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInl(X4,X2,X3) ),
    cls_Sum__Type_OInl__eq__iff1_0,
    [final] ).

cnf(i_0_1546,axiom,
    ( X1 = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_List_Olist_Oinject__iff1_0,
    [final] ).

cnf(i_0_1547,axiom,
    ( X1 = X4
    | c_append(X1,X2,X3) != c_append(X4,X2,X3) ),
    cls_List_Oappend__same__eq__iff1_0,
    [final] ).

cnf(i_0_1548,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_1549,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_1550,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3) ),
    cls_Datatype__Universe_OIn1__eq__iff1_0,
    [final] ).

cnf(i_0_1551,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3) ),
    cls_Datatype__Universe_OIn0__eq__iff1_0,
    [final] ).

cnf(i_0_1552,axiom,
    ( X1 = X4
    | c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
    cls_Datatype__Universe_OAtom__Atom__eq__iff1_0,
    [final] ).

cnf(i_0_1553,axiom,
    ( X2 = X4
    | c_append(X1,X2,X3) != c_append(X1,X4,X3) ),
    cls_List_Osame__append__eq__iff1_0,
    [final] ).

cnf(i_0_1554,axiom,
    ( X2 = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_List_Olist_Oinject__iff1_1,
    [final] ).

cnf(i_0_1555,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint) ),
    cls_IntDiv_Ozminus__dvd__iff__iff1_0,
    [final] ).

cnf(i_0_1556,axiom,
    ( c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    cls_IntDiv_Odvd__zminus__iff__iff1_0,
    [final] ).

cnf(i_0_1557,axiom,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    cls_Sum__Type_OInr__not__Inl__iff1_0,
    [final] ).

cnf(i_0_1558,axiom,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    cls_Sum__Type_OInl__not__Inr__iff1_0,
    [final] ).

cnf(i_0_1559,axiom,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3),
    cls_Datatype__Universe_ONumb__not__Leaf__iff1_0,
    [final] ).

cnf(i_0_1560,axiom,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3),
    cls_Datatype__Universe_OLeaf__not__Numb__iff1_0,
    [final] ).

cnf(i_0_1561,axiom,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3),
    cls_Datatype__Universe_OIn1__not__In0__iff1_0,
    [final] ).

cnf(i_0_1562,axiom,
    c_Datatype__Universe_OIn0(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3),
    cls_Datatype__Universe_OIn0__not__In1__iff1_0,
    [final] ).

cnf(i_0_1563,axiom,
    ( X3 = X1
    | c_insert(X1,c_emptyset,X2) != c_insert(X3,X4,X2) ),
    cls_Set_Osingleton__insert__inj__eq__iff1_0,
    [final] ).

cnf(i_0_1564,axiom,
    ( X1 = X4
    | c_insert(X1,X2,X3) != c_insert(X4,c_emptyset,X3) ),
    cls_Set_Osingleton__insert__inj__eq_H__iff1_0,
    [final] ).

cnf(i_0_1565,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_1566,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_1567,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_1568,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    cls_Set_OinsertCI_1,
    [final] ).

cnf(i_0_1569,axiom,
    ( c_Divides_Oop_Advd(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    cls_IntDiv_Ozminus__dvd__iff__iff2_0,
    [final] ).

cnf(i_0_1570,axiom,
    ( c_Divides_Oop_Advd(X1,c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ c_Divides_Oop_Advd(X1,X2,tc_IntDef_Oint) ),
    cls_IntDiv_Odvd__zminus__iff__iff2_0,
    [final] ).

cnf(i_0_1571,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_1572,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_1573,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_1574,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_1575,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_1576,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_1577,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_1578,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_1579,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_1580,axiom,
    c_in(X1,c_insert(X1,c_emptyset,X2),X2),
    cls_Set_OsingletonI_0,
    [final] ).

cnf(i_0_1581,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_1582,axiom,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_nat),tc_nat),
    cls_Divides_Odvd__triv__left_0,
    [final] ).

cnf(i_0_1583,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_1584,axiom,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_nat),tc_nat),
    cls_Divides_Odvd__triv__right_0,
    [final] ).

cnf(i_0_1585,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    cls_Set_OpsubsetE_1,
    [final] ).

cnf(i_0_1586,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Nat_OSuc__le__mono__iff1_0,
    [final] ).

cnf(i_0_1587,axiom,
    ( c_less(X1,X2,tc_nat)
    | ~ c_less(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Nat_OSuc__less__eq__iff1_0,
    [final] ).

cnf(i_0_1588,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Nat_OSuc__le__mono__iff2_0,
    [final] ).

cnf(i_0_1589,axiom,
    ( c_less(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_less(X1,X2,tc_nat) ),
    cls_Nat_OSuc__less__eq__iff2_0,
    [final] ).

cnf(i_0_1590,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
    cls_Set_OComplI_0,
    [final] ).

cnf(i_0_1591,axiom,
    ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X2) ),
    cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0,
    [final] ).

cnf(i_0_1592,axiom,
    ( X2 = c_Datatype_Ooption_OSome(X1,X3)
    | ~ c_in(X1,c_Datatype_Oo2s(X2,X3),X3) ),
    cls_Datatype_Oelem__o2s__iff1_0,
    [final] ).

cnf(i_0_1593,axiom,
    ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat),
    cls_List_Olength__greater__0__conv__iff1_0,
    [final] ).

cnf(i_0_1594,axiom,
    c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
    cls_Datatype_Oelem__o2s__iff2_0,
    [final] ).

cnf(i_0_1595,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X2)) ),
    cls_List_Olength__remdups__eq__iff1_0,
    [final] ).

cnf(i_0_1596,axiom,
    c_less(c_uminus(c_IntDef_Oint(c_Suc(X1)),tc_IntDef_Oint),c_IntDef_Oint(X2),tc_IntDef_Oint),
    cls_IntDef_Onegative__zless_0,
    [final] ).

cnf(i_0_1597,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_1598,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_less(X2,X2,X1) ),
    cls_Orderings_Oorder__less__irrefl__iff1_0,
    [final] ).

cnf(i_0_1599,axiom,
    ~ c_less(X1,c_emptyset,tc_set(X2)),
    cls_Set_Onot__psubset__empty__iff1_0,
    [final] ).

cnf(i_0_1600,axiom,
    ( c_less(c_0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
    | X1 = c_List_Olist_ONil ),
    cls_List_Olength__greater__0__conv__iff2_0,
    [final] ).

cnf(i_0_1601,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_Suc(c_0),tc_nat) ),
    cls_Nat_Oless__Suc0__iff1_0,
    [final] ).

cnf(i_0_1602,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X2 ),
    cls_List_Oappend__self__conv2__iff1_0,
    [final] ).

cnf(i_0_1603,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != X1 ),
    cls_List_Oappend__self__conv__iff1_0,
    [final] ).

cnf(i_0_1604,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X1,X2,X3) ),
    cls_List_Oself__append__conv__iff1_0,
    [final] ).

cnf(i_0_1605,axiom,
    ( X2 = c_List_Olist_ONil
    | X1 != c_append(X2,X1,X3) ),
    cls_List_Oself__append__conv2__iff1_0,
    [final] ).

cnf(i_0_1606,axiom,
    ( X1 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Oappend__is__Nil__conv__iff1_0,
    [final] ).

cnf(i_0_1607,axiom,
    ( X1 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    cls_Set_OUn__empty__iff1_0,
    [final] ).

cnf(i_0_1608,axiom,
    ( X1 = c_emptyset
    | c_Equiv__Relations_Oquotient(X1,X2,X3) != c_emptyset ),
    cls_Equiv__Relations_Oquotient__is__empty__iff1_0,
    [final] ).

cnf(i_0_1609,axiom,
    ( X2 = c_List_Olist_ONil
    | c_append(X1,X2,X3) != c_List_Olist_ONil ),
    cls_List_Oappend__is__Nil__conv__iff1_1,
    [final] ).

cnf(i_0_1610,axiom,
    ( X2 = c_emptyset
    | c_union(X1,X2,X3) != c_emptyset ),
    cls_Set_OUn__empty__iff1_1,
    [final] ).

cnf(i_0_1611,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    cls_List_ONil__is__append__conv__iff1_0,
    [final] ).

cnf(i_0_1612,axiom,
    ( X1 = c_emptyset
    | c_emptyset != c_Equiv__Relations_Oquotient(X1,X2,X3) ),
    cls_Equiv__Relations_Oquotient__is__empty2__iff1_0,
    [final] ).

cnf(i_0_1613,axiom,
    ( X2 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_append(X1,X2,X3) ),
    cls_List_ONil__is__append__conv__iff1_1,
    [final] ).

cnf(i_0_1614,axiom,
    ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
    cls_Infinite__Set_Onat__not__finite_0,
    [final] ).

cnf(i_0_1615,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil,
    cls_List_Olist_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_1616,axiom,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    cls_List_Olist_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_1617,axiom,
    ( X1 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    cls_Nat_Oadd__is__0__iff1_0,
    [final] ).

cnf(i_0_1618,axiom,
    ( X2 = c_0
    | c_plus(X1,X2,tc_nat) != c_0 ),
    cls_Nat_Oadd__is__0__iff1_1,
    [final] ).

cnf(i_0_1619,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    cls_conjecture_0,
    [final] ).

cnf(i_0_1620,axiom,
    c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    cls_List_Ofinite__set_0,
    [final] ).

cnf(i_0_1621,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_1622,axiom,
    ~ c_in(X1,c_emptyset,X2),
    cls_Set_OemptyE_0,
    [final] ).

cnf(i_0_1623,axiom,
    ~ c_less(X1,X1,tc_nat),
    cls_Nat_Oless__irrefl_0,
    [final] ).

cnf(i_0_1624,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint) ),
    cls_IntDiv_Ozdvd__0__left__iff1_0,
    [final] ).

cnf(i_0_1625,axiom,
    ( X1 = c_0
    | ~ c_Divides_Oop_Advd(c_0,X1,tc_nat) ),
    cls_Divides_Odvd__0__left__iff__iff1_0,
    [final] ).

cnf(i_0_1626,axiom,
    ( X1 = c_0
    | ~ c_lessequals(X1,c_0,tc_nat) ),
    cls_Nat_Ole__0__eq__iff1_0,
    [final] ).

cnf(i_0_1627,axiom,
    ( X1 = c_0
    | ~ c_less(X1,c_1,tc_nat) ),
    cls_Nat_Oless__one__iff1_0,
    [final] ).

cnf(i_0_1628,axiom,
    ~ c_less(X1,c_0,tc_nat),
    cls_Nat_Onot__less0__iff1_0,
    [final] ).

cnf(i_0_1629,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_1630,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_1631,axiom,
    ~ c_less(c_0,c_0,tc_nat),
    cls_Nat_Oneq0__conv__iff2_0,
    [final] ).

cnf(i_0_1632,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_1633,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_1634,axiom,
    ( X1 = X3
    | c_uminus(X1,tc_set(X2)) != c_uminus(X3,tc_set(X2)) ),
    cls_Set_OCompl__eq__Compl__iff__iff1_0,
    [final] ).

cnf(i_0_1635,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_Orderings_Oorder__class_Oaxioms__1_0,
    [final] ).

cnf(i_0_1636,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    cls_Set_Osubset__refl_0,
    [final] ).

cnf(i_0_1637,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    cls_Set_Oempty__subsetI_0,
    [final] ).

cnf(i_0_1638,axiom,
    c_less(X1,c_Suc(X1),tc_nat),
    cls_Nat_OlessI_0,
    [final] ).

cnf(i_0_1639,axiom,
    c_less(c_0,c_Suc(X1),tc_nat),
    cls_Nat_Ozero__less__Suc_0,
    [final] ).

cnf(i_0_1640,axiom,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    cls_Finite__Set_OFinites_OemptyI_0,
    [final] ).

cnf(i_0_1641,axiom,
    c_Divides_Oop_Advd(c_Suc(c_0),X1,tc_nat),
    cls_Divides_Odvd__1__left_0,
    [final] ).

cnf(i_0_1642,axiom,
    c_less(c_0,c_Suc(c_0),tc_nat),
    cls_Nat_Oless__Suc0__iff2_0,
    [final] ).

cnf(i_0_1643,axiom,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    cls_List_Oappend__self__conv2__iff2_0,
    [final] ).

cnf(i_0_1644,axiom,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    cls_List_Oappend__self__conv__iff2_0,
    [final] ).

cnf(i_0_1645,axiom,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    cls_List_Oself__append__conv2__iff2_0,
    [final] ).

cnf(i_0_1646,axiom,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    cls_List_Oself__append__conv__iff2_0,
    [final] ).

cnf(i_0_1647,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OlessThan(X2,X1) != c_SetInterval_OlessThan(X3,X1) ),
    cls_SetInterval_OlessThan__eq__iff__iff1_0,
    [final] ).

cnf(i_0_1648,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OgreaterThan(X2,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
    cls_SetInterval_OgreaterThan__eq__iff__iff1_0,
    [final] ).

cnf(i_0_1649,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatMost(X2,X1) != c_SetInterval_OatMost(X3,X1) ),
    cls_SetInterval_OatMost__eq__iff__iff1_0,
    [final] ).

cnf(i_0_1650,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_OatLeast(X2,X1) != c_SetInterval_OatLeast(X3,X1) ),
    cls_SetInterval_OatLeast__eq__iff__iff1_0,
    [final] ).

cnf(i_0_1651,axiom,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    cls_Nat_Oneq0__conv__iff1_0,
    [final] ).

cnf(i_0_1652,axiom,
    c_in(X1,c_UNIV,X2),
    cls_Set_OUNIV__I_0,
    [final] ).

cnf(i_0_1653,axiom,
    c_Equiv__Relations_Oquotient(c_emptyset,X1,X2) = c_emptyset,
    cls_Equiv__Relations_Oquotient__is__empty__iff2_0,
    [final] ).

cnf(i_0_1654,axiom,
    c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X1,X2),
    cls_Equiv__Relations_Oquotient__is__empty2__iff2_0,
    [final] ).

cnf(i_0_1655,axiom,
    c_lessequals(c_0,X1,tc_nat),
    cls_Nat_Ole0_0,
    [final] ).

cnf(i_0_1656,axiom,
    c_Divides_Oop_Advd(c_1,X1,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__1__left_0,
    [final] ).

cnf(i_0_1657,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__0__right_0,
    [final] ).

cnf(i_0_1658,axiom,
    c_Divides_Oop_Advd(X1,c_0,tc_nat),
    cls_Divides_Odvd__0__right_0,
    [final] ).

cnf(i_0_1659,axiom,
    c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Oappend__is__Nil__conv__iff2_0,
    [final] ).

cnf(i_0_1660,axiom,
    c_union(c_emptyset,c_emptyset,X1) = c_emptyset,
    cls_Set_OUn__empty__iff2_0,
    [final] ).

cnf(i_0_1661,axiom,
    c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X1),
    cls_List_ONil__is__append__conv__iff2_0,
    [final] ).

cnf(i_0_1662,axiom,
    c_lessequals(c_0,c_0,tc_nat),
    cls_Nat_Ole__0__eq__iff2_0,
    [final] ).

cnf(i_0_1663,axiom,
    c_less(c_0,c_1,tc_nat),
    cls_Nat_Oless__one__iff2_0,
    [final] ).

cnf(i_0_1664,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
    cls_IntDiv_Ozdvd__0__left__iff2_0,
    [final] ).

cnf(i_0_1665,axiom,
    c_Divides_Oop_Advd(c_0,c_0,tc_nat),
    cls_Divides_Odvd__0__left__iff__iff2_0,
    [final] ).

cnf(i_0_1666,axiom,
    c_plus(c_0,c_0,tc_nat) = c_0,
    cls_Nat_Oadd__is__0__iff2_0,
    [final] ).

cnf(i_0_1667,axiom,
    ( X1 = X3
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    cls_List_Ochar_Oinject__iff1_0,
    [final] ).

cnf(i_0_1668,axiom,
    ( X1 = X3
    | c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
    cls_List_Orev__is__rev__conv__iff1_0,
    [final] ).

cnf(i_0_1669,axiom,
    ( X1 = X3
    | c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_OSome(X3,X2) ),
    cls_Datatype_Ooption_Oinject__iff1_0,
    [final] ).

cnf(i_0_1670,axiom,
    ( X2 = X4
    | c_List_Ochar_OChar(X1,X2) != c_List_Ochar_OChar(X3,X4) ),
    cls_List_Ochar_Oinject__iff1_1,
    [final] ).

cnf(i_0_1671,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_1672,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_1673,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_1674,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) ),
    cls_Datatype_Onot__Some__eq__iff1_0,
    [final] ).

cnf(i_0_1675,axiom,
    ( X1 = c_Datatype_Ooption_ONone
    | X1 = c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X1,X2),X2) ),
    cls_Datatype_Onot__None__eq__iff1_0,
    [final] ).

cnf(i_0_1676,axiom,
    c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
    cls_List_Odistinct__remdups_0,
    [final] ).

cnf(i_0_1677,axiom,
    ( X1 = c_List_Olist_ONil
    | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_0 ),
    cls_List_Olength__0__conv__iff1_0,
    [final] ).

cnf(i_0_1678,axiom,
    class_Nat_Opower(tc_fun(X1,X2)),
    clsarity_fun_1,
    [final] ).

cnf(i_0_1679,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Oset(X1,X2) != c_emptyset ),
    cls_List_Oset__empty__iff1_0,
    [final] ).

cnf(i_0_1680,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Orev(X1,X2) != c_List_Olist_ONil ),
    cls_List_Orev__is__Nil__conv__iff1_0,
    [final] ).

cnf(i_0_1681,axiom,
    ( X1 = c_List_Olist_ONil
    | c_List_Olist_ONil != c_List_Orev(X1,X2) ),
    cls_List_ONil__is__rev__conv__iff1_0,
    [final] ).

cnf(i_0_1682,axiom,
    ( X1 = c_List_Olist_ONil
    | c_emptyset != c_List_Oset(X1,X2) ),
    cls_List_Oset__empty2__iff1_0,
    [final] ).

cnf(i_0_1683,axiom,
    c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_ONone,
    cls_Datatype_Ooption_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_1684,axiom,
    c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
    cls_Datatype_Ooption_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_1685,axiom,
    c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_0,
    cls_List_Olength__0__conv__iff2_0,
    [final] ).

cnf(i_0_1686,axiom,
    ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_Datatype__Ooption_0,
    [final] ).

cnf(i_0_1687,axiom,
    ( class_Finite__Set_Ofinite(tc_set(X1))
    | ~ class_Finite__Set_Ofinite(X1) ),
    clsarity_set_3,
    [final] ).

cnf(i_0_1688,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_Nat_OSuc__Suc__eq__iff1_0,
    [final] ).

cnf(i_0_1689,axiom,
    ( X1 = X2
    | c_IntDef_Oint(X1) != c_IntDef_Oint(X2) ),
    cls_IntDef_Oint__int__eq__iff1_0,
    [final] ).

cnf(i_0_1690,axiom,
    c_Wellfounded__Recursion_Owf(c_emptyset,X1),
    cls_Wellfounded__Recursion_Owf__empty_0,
    [final] ).

cnf(i_0_1691,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    cls_List_Oset__empty__iff2_0,
    [final] ).

cnf(i_0_1692,axiom,
    c_List_Orev(c_List_Olist_ONil,X1) = c_List_Olist_ONil,
    cls_List_Orev__is__Nil__conv__iff2_0,
    [final] ).

cnf(i_0_1693,axiom,
    c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
    cls_List_ONil__is__rev__conv__iff2_0,
    [final] ).

cnf(i_0_1694,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
    cls_List_Oset__empty2__iff2_0,
    [final] ).

cnf(i_0_1695,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_1696,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_1,
    [final] ).

cnf(i_0_1697,axiom,
    ( class_HOL_Oinverse(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_30,
    [final] ).

cnf(i_0_1698,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_1699,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_1700,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_1701,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_17,
    [final] ).

cnf(i_0_1702,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_9,
    [final] ).

cnf(i_0_1703,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_5,
    [final] ).

cnf(i_0_1704,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_1705,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_17,
    [final] ).

cnf(i_0_1706,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_1707,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_1708,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_1709,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_1710,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_1711,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_1712,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_1713,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_1,
    [final] ).

cnf(i_0_1714,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_1715,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_1716,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_1717,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_1718,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_1719,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_24,
    [final] ).

cnf(i_0_1720,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_21,
    [final] ).

cnf(i_0_1721,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__mult_0,
    [final] ).

cnf(i_0_1722,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_8,
    [final] ).

cnf(i_0_1723,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_4,
    [final] ).

cnf(i_0_1724,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_21,
    [final] ).

cnf(i_0_1725,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_21,
    [final] ).

cnf(i_0_1726,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_15,
    [final] ).

cnf(i_0_1727,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_1728,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_15,
    [final] ).

cnf(i_0_1729,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_8,
    [final] ).

cnf(i_0_1730,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_1731,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_1732,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_1733,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_1734,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_1735,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_2,
    [final] ).

cnf(i_0_1736,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_1737,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_1738,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_8,
    [final] ).

cnf(i_0_1739,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_1740,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_1741,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_5,
    [final] ).

cnf(i_0_1742,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_2,
    [final] ).

cnf(i_0_1743,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_1,
    [final] ).

cnf(i_0_1744,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_5,
    [final] ).

cnf(i_0_1745,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_1746,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_4,
    [final] ).

cnf(i_0_1747,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_1748,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_1749,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_4,
    [final] ).

cnf(i_0_1750,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_4,
    [final] ).

cnf(i_0_1751,axiom,
    ( class_OrderedGroup_Osemigroup__mult(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_3,
    [final] ).

cnf(i_0_1752,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_1753,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_1754,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_26,
    [final] ).

cnf(i_0_1755,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_6,
    [final] ).

cnf(i_0_1756,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_2,
    [final] ).

cnf(i_0_1757,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_1758,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_26,
    [final] ).

cnf(i_0_1759,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_1760,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_1761,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_1762,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_1763,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_1764,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_1765,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_1766,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_11,
    [final] ).

cnf(i_0_1767,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_1768,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_1769,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_1770,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_1771,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_1772,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_1773,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_1774,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_1775,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_1776,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_1777,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_1778,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_1779,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_1780,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_1781,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_1782,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_1783,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_1784,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_1785,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_1786,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_1,
    [final] ).

cnf(i_0_1787,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_1788,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_3,
    [final] ).

cnf(i_0_1789,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_1790,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_1791,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_1792,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_1,
    [final] ).

cnf(i_0_1793,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_1794,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_0,
    [final] ).

cnf(i_0_1795,axiom,
    ( class_Nat_Opower(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_0,
    [final] ).

cnf(i_0_1796,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_1797,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_29,
    [final] ).

cnf(i_0_1798,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_28,
    [final] ).

cnf(i_0_1799,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__add_0,
    [final] ).

cnf(i_0_1800,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_5,
    [final] ).

cnf(i_0_1801,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_1,
    [final] ).

cnf(i_0_1802,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_28,
    [final] ).

cnf(i_0_1803,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_28,
    [final] ).

cnf(i_0_1804,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_22,
    [final] ).

cnf(i_0_1805,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_1806,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_22,
    [final] ).

cnf(i_0_1807,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_13,
    [final] ).

cnf(i_0_1808,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_13,
    [final] ).

cnf(i_0_1809,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_12,
    [final] ).

cnf(i_0_1810,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_12,
    [final] ).

cnf(i_0_1811,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_13,
    [final] ).

cnf(i_0_1812,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_7,
    [final] ).

cnf(i_0_1813,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_1814,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_1815,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_1816,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_1817,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_1818,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_6,
    [final] ).

cnf(i_0_1819,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_1820,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_1821,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_1822,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_3,
    [final] ).

cnf(i_0_1823,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_1824,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_1825,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_12,
    [final] ).

cnf(i_0_1826,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_1827,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_1828,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_9,
    [final] ).

cnf(i_0_1829,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_9,
    [final] ).

cnf(i_0_1830,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_1831,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_2,
    [final] ).

cnf(i_0_1832,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_1833,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_4,
    [final] ).

cnf(i_0_1834,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1,
    [final] ).

cnf(i_0_1835,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__semigroup__add_0,
    [final] ).

cnf(i_0_1836,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_1837,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_2,
    [final] ).

cnf(i_0_1838,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_2,
    [final] ).

cnf(i_0_1839,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_1,
    [final] ).

cnf(i_0_1840,axiom,
    ( class_OrderedGroup_Osemigroup__add(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_1,
    [final] ).

cnf(i_0_1841,axiom,
    ( class_Numeral_Onumber(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_30,
    [final] ).

cnf(i_0_1842,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_1843,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_1844,axiom,
    ( class_Ring__and__Field_Oidom(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_31,
    [final] ).

cnf(i_0_1845,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_1846,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_1847,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_1848,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_1849,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_1850,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_1851,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_1852,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_1853,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_1854,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_1855,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_1856,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_1857,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_1858,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_1859,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_1860,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_1861,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_1862,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_1863,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_1864,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_1865,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_1866,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_1867,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_1868,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_1869,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_1870,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_1871,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_1872,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_1873,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_1874,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_1875,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_1876,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_1877,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_1878,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_1879,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_1880,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_1881,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_1882,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_1883,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_1884,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_1885,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_1886,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_1887,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_1888,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_1889,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_0,
    [final] ).

cnf(i_0_1890,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_1891,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_1892,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_1893,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_1894,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_1895,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_1896,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_1897,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_1898,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_1899,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_1900,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_1901,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_1902,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_1903,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_1904,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_1905,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_1906,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_1907,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_1908,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_1909,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_1910,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_1911,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_1912,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_1913,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_1914,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_1915,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_1916,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_1917,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_1918,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_1919,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_1920,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_1921,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_1922,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_1923,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_1924,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_1925,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_1926,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_1927,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_1928,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_1929,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_1930,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_1931,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_1932,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_1933,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_32,
    [final] ).

cnf(i_0_1934,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_24,
    [final] ).

cnf(i_0_1935,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_1936,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_1,
    [final] ).

cnf(i_0_1937,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_8,
    [final] ).

cnf(i_0_1938,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_24,
    [final] ).

cnf(i_0_1939,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_24,
    [final] ).

cnf(i_0_1940,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_18,
    [final] ).

cnf(i_0_1941,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_1942,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_1943,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_18,
    [final] ).

cnf(i_0_1944,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_4,
    [final] ).

cnf(i_0_1945,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_4,
    [final] ).

cnf(i_0_1946,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_5,
    [final] ).

cnf(i_0_1947,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_14,
    [final] ).

cnf(i_0_1948,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_4,
    [final] ).

cnf(i_0_1949,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_3,
    [final] ).

cnf(i_0_1950,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_1951,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_1952,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_1953,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_1954,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_1955,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_1956,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_8,
    [final] ).

cnf(i_0_1957,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_1958,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_1959,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_14,
    [final] ).

cnf(i_0_1960,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_1961,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_1962,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_1,
    [final] ).

cnf(i_0_1963,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_1964,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_11,
    [final] ).

cnf(i_0_1965,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_1966,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_9,
    [final] ).

cnf(i_0_1967,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_1968,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_2,
    [final] ).

cnf(i_0_1969,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_1970,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_7,
    [final] ).

cnf(i_0_1971,axiom,
    ( class_HOL_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_0,
    [final] ).

cnf(i_0_1972,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_1973,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_1974,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_1975,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_1976,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_1977,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_1978,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_1979,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_1980,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_1981,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_1982,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_1983,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_1984,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_1985,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_1986,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_1987,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_1988,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_1989,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_1990,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_1991,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_1992,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_1993,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_1994,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_1995,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_1996,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_1997,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_1998,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_1999,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_2000,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_2001,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_2002,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_2003,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_2004,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_2005,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_2006,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_2007,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_2008,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_2009,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_2010,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_2011,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_2012,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_2013,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_2014,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_2015,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_2016,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_2017,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_7,
    [final] ).

cnf(i_0_2018,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_2019,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_2020,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_2021,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_2022,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_2023,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_2024,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_2025,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_2026,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_2027,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_2028,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_51,
    [final] ).

cnf(i_0_2029,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_4,
    [final] ).

cnf(i_0_2030,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_34,
    [final] ).

cnf(i_0_2031,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_28,
    [final] ).

cnf(i_0_2032,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_2033,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_26,
    [final] ).

cnf(i_0_2034,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_17,
    [final] ).

cnf(i_0_2035,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_17,
    [final] ).

cnf(i_0_2036,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_14,
    [final] ).

cnf(i_0_2037,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_15,
    [final] ).

cnf(i_0_2038,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_2039,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_2040,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_2041,axiom,
    ( class_LOrder_Olorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_0,
    [final] ).

cnf(i_0_2042,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_52,
    [final] ).

cnf(i_0_2043,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_3,
    [final] ).

cnf(i_0_2044,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_35,
    [final] ).

cnf(i_0_2045,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_29,
    [final] ).

cnf(i_0_2046,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_2047,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_27,
    [final] ).

cnf(i_0_2048,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_15,
    [final] ).

cnf(i_0_2049,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_18,
    [final] ).

cnf(i_0_2050,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_15,
    [final] ).

cnf(i_0_2051,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_16,
    [final] ).

cnf(i_0_2052,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_2053,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_2054,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_2055,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_3,
    [final] ).

cnf(i_0_2056,axiom,
    ( class_LOrder_Ojoin__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_1,
    [final] ).

cnf(i_0_2057,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_53,
    [final] ).

cnf(i_0_2058,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_2,
    [final] ).

cnf(i_0_2059,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_36,
    [final] ).

cnf(i_0_2060,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_30,
    [final] ).

cnf(i_0_2061,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_2062,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_28,
    [final] ).

cnf(i_0_2063,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_18,
    [final] ).

cnf(i_0_2064,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_15,
    [final] ).

cnf(i_0_2065,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_16,
    [final] ).

cnf(i_0_2066,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_17,
    [final] ).

cnf(i_0_2067,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_2068,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_2069,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_2070,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_0,
    [final] ).

cnf(i_0_2071,axiom,
    ( class_LOrder_Omeet__semilorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_2,
    [final] ).

cnf(i_0_2072,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_2073,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_2074,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_29,
    [final] ).

cnf(i_0_2075,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_2076,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_2077,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_2078,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_33,
    [final] ).

cnf(i_0_2079,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_22,
    [final] ).

cnf(i_0_2080,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__mult_1,
    [final] ).

cnf(i_0_2081,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Osemigroup__mult(X1) ),
    clsrel_OrderedGroup_Osemigroup__mult_0,
    [final] ).

cnf(i_0_2082,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_7,
    [final] ).

cnf(i_0_2083,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_3,
    [final] ).

cnf(i_0_2084,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_22,
    [final] ).

cnf(i_0_2085,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_22,
    [final] ).

cnf(i_0_2086,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_16,
    [final] ).

cnf(i_0_2087,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_2088,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_2089,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_16,
    [final] ).

cnf(i_0_2090,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_9,
    [final] ).

cnf(i_0_2091,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_2092,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_2093,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_2094,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_2095,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_2096,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_3,
    [final] ).

cnf(i_0_2097,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_2098,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_2099,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_9,
    [final] ).

cnf(i_0_2100,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_2101,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_2102,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_6,
    [final] ).

cnf(i_0_2103,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_3,
    [final] ).

cnf(i_0_2104,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_2,
    [final] ).

cnf(i_0_2105,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_6,
    [final] ).

cnf(i_0_2106,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_2107,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_5,
    [final] ).

cnf(i_0_2108,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_2109,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_2110,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_5,
    [final] ).

cnf(i_0_2111,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_5,
    [final] ).

cnf(i_0_2112,axiom,
    ( class_HOL_Otimes(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_4,
    [final] ).

cnf(i_0_2113,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_2114,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_2115,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_24,
    [final] ).

cnf(i_0_2116,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_28,
    [final] ).

cnf(i_0_2117,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_2118,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_2119,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_2120,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_2121,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_2122,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_2,
    [final] ).

cnf(i_0_2123,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_27,
    [final] ).

cnf(i_0_2124,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_2125,axiom,
    ( class_Ring__and__Field_Oring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_2,
    [final] ).

cnf(i_0_2126,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_2127,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_2128,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_2129,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_22,
    [final] ).

cnf(i_0_2130,axiom,
    ( class_Ring__and__Field_Osemiring__1__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_26,
    [final] ).

cnf(i_0_2131,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_2132,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_2133,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_2134,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_2135,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_2136,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_2137,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_2138,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_2139,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_18,
    [final] ).

cnf(i_0_2140,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_25,
    [final] ).

cnf(i_0_2141,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_2142,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_2143,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_2144,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_2145,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_2146,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_2147,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_10,
    [final] ).

cnf(i_0_2148,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_17,
    [final] ).

cnf(i_0_2149,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_24,
    [final] ).

cnf(i_0_2150,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_2151,axiom,
    ( class_Ring__and__Field_Osemiring__1(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_10,
    [final] ).

cnf(i_0_2152,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_2153,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_2154,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_2155,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_2156,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_2157,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_2158,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_2159,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_8,
    [final] ).

cnf(i_0_2160,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_16,
    [final] ).

cnf(i_0_2161,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_23,
    [final] ).

cnf(i_0_2162,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_2163,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_8,
    [final] ).

cnf(i_0_2164,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_2165,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_2166,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_2167,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_2168,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_15,
    [final] ).

cnf(i_0_2169,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_12,
    [final] ).

cnf(i_0_2170,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_15,
    [final] ).

cnf(i_0_2171,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_22,
    [final] ).

cnf(i_0_2172,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_12,
    [final] ).

cnf(i_0_2173,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_12,
    [final] ).

cnf(i_0_2174,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_6,
    [final] ).

cnf(i_0_2175,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_2176,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_2177,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_17,
    [final] ).

cnf(i_0_2178,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_2179,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_2180,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_11,
    [final] ).

cnf(i_0_2181,axiom,
    ( class_OrderedGroup_Omonoid__mult(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_4,
    [final] ).

cnf(i_0_2182,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_2183,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_2184,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_3,
    [final] ).

cnf(i_0_2185,axiom,
    ( class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_21,
    [final] ).

cnf(i_0_2186,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_2187,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_2188,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_2189,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_2190,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_2191,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_2192,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_2193,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_2194,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_2195,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_2196,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_2197,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_1,
    [final] ).

cnf(i_0_2198,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_19,
    [final] ).

cnf(i_0_2199,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_2200,axiom,
    ( class_Ring__and__Field_Ocomm__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_1,
    [final] ).

cnf(i_0_2201,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_2202,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_2203,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_2204,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_2205,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_23,
    [final] ).

cnf(i_0_2206,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_18,
    [final] ).

cnf(i_0_2207,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_2208,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_2209,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_2210,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_2211,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_2212,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_2213,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_2214,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_30,
    [final] ).

cnf(i_0_2215,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_29,
    [final] ).

cnf(i_0_2216,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Oab__semigroup__add_1,
    [final] ).

cnf(i_0_2217,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_4,
    [final] ).

cnf(i_0_2218,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_0,
    [final] ).

cnf(i_0_2219,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    clsrel_OrderedGroup_Osemigroup__add_0,
    [final] ).

cnf(i_0_2220,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_29,
    [final] ).

cnf(i_0_2221,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_29,
    [final] ).

cnf(i_0_2222,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_23,
    [final] ).

cnf(i_0_2223,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_2224,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_23,
    [final] ).

cnf(i_0_2225,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_14,
    [final] ).

cnf(i_0_2226,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_14,
    [final] ).

cnf(i_0_2227,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_13,
    [final] ).

cnf(i_0_2228,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_13,
    [final] ).

cnf(i_0_2229,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_14,
    [final] ).

cnf(i_0_2230,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_8,
    [final] ).

cnf(i_0_2231,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_2232,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_2233,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_2234,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_2235,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_2236,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_7,
    [final] ).

cnf(i_0_2237,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_2238,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_2239,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_2240,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_4,
    [final] ).

cnf(i_0_2241,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_2242,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_2243,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_13,
    [final] ).

cnf(i_0_2244,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_2245,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_2246,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_10,
    [final] ).

cnf(i_0_2247,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_10,
    [final] ).

cnf(i_0_2248,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_2249,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_3,
    [final] ).

cnf(i_0_2250,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_2251,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_5,
    [final] ).

cnf(i_0_2252,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2,
    [final] ).

cnf(i_0_2253,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    clsrel_OrderedGroup_Ocancel__semigroup__add_1,
    [final] ).

cnf(i_0_2254,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_2255,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    clsrel_Ring__and__Field_Osemiring__0_3,
    [final] ).

cnf(i_0_2256,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__add_3,
    [final] ).

cnf(i_0_2257,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    clsrel_Ring__and__Field_Ocomm__semiring_2,
    [final] ).

cnf(i_0_2258,axiom,
    ( class_HOL_Oplus(X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    clsrel_Ring__and__Field_Osemiring_2,
    [final] ).

cnf(i_0_2259,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_2260,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_2261,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_3,
    [final] ).

cnf(i_0_2262,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_17,
    [final] ).

cnf(i_0_2263,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_2264,axiom,
    ( class_Ring__and__Field_Oring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_3,
    [final] ).

cnf(i_0_2265,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_2266,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_2267,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_2268,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_2269,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_2270,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_2271,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_2272,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_2273,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_2274,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_21,
    [final] ).

cnf(i_0_2275,axiom,
    ( class_Ring__and__Field_Osemiring__0__cancel(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_16,
    [final] ).

cnf(i_0_2276,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_2277,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_2278,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_2279,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_2280,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_2281,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_2282,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_2283,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_2284,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_2285,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_2286,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_2287,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_2288,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_2289,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_2290,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_2291,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_2292,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_2293,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_2294,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_2295,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_4,
    [final] ).

cnf(i_0_2296,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_15,
    [final] ).

cnf(i_0_2297,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_2298,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_4,
    [final] ).

cnf(i_0_2299,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_2300,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_2301,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_2302,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_2303,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_2304,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_2305,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_1,
    [final] ).

cnf(i_0_2306,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_2307,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_2308,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_2309,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_2310,axiom,
    ( class_OrderedGroup_Oab__group__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_6,
    [final] ).

cnf(i_0_2311,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_2312,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_2313,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_25,
    [final] ).

cnf(i_0_2314,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_20,
    [final] ).

cnf(i_0_2315,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_14,
    [final] ).

cnf(i_0_2316,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_2317,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_25,
    [final] ).

cnf(i_0_2318,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_2319,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_2320,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_2321,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_2322,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_2323,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_2324,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_2325,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_10,
    [final] ).

cnf(i_0_2326,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_2327,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_2328,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_2329,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_2330,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_2331,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_2332,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_2333,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_2334,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_2335,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_2336,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_2337,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_2338,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_2339,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_2340,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_10,
    [final] ).

cnf(i_0_2341,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_2342,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_6,
    [final] ).

cnf(i_0_2343,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_2344,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_2345,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_27,
    [final] ).

cnf(i_0_2346,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_19,
    [final] ).

cnf(i_0_2347,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_13,
    [final] ).

cnf(i_0_2348,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_2349,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_27,
    [final] ).

cnf(i_0_2350,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_2351,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_2352,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_2353,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_2354,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_2355,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_2356,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_2357,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_12,
    [final] ).

cnf(i_0_2358,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_2359,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_2360,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_2361,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_2362,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_2363,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_2364,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_2365,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_2366,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_2367,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_2368,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_2369,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_2370,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_2371,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_2372,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_11,
    [final] ).

cnf(i_0_2373,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_2374,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_7,
    [final] ).

cnf(i_0_2375,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_2376,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_2377,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_2378,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_2379,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_14,
    [final] ).

cnf(i_0_2380,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_11,
    [final] ).

cnf(i_0_2381,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_2382,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_2383,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_2384,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_2385,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_2386,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_2387,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_2388,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_2389,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_2390,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_2391,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_2392,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_2393,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_2394,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_19,
    [final] ).

cnf(i_0_2395,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_13,
    [final] ).

cnf(i_0_2396,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_10,
    [final] ).

cnf(i_0_2397,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_2398,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_19,
    [final] ).

cnf(i_0_2399,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_2400,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_2401,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_2402,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_2403,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_2404,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_2405,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_2406,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_2407,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_2408,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_2409,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_2410,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_2411,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_2412,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_2413,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_2414,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_2415,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_2416,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_2417,axiom,
    ( class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_13,
    [final] ).

cnf(i_0_2418,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_2419,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_2420,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_2421,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_2422,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_23,
    [final] ).

cnf(i_0_2423,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_12,
    [final] ).

cnf(i_0_2424,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_9,
    [final] ).

cnf(i_0_2425,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_2426,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_23,
    [final] ).

cnf(i_0_2427,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_2428,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_2429,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_2430,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_2431,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_2432,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_2433,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_2434,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_3,
    [final] ).

cnf(i_0_2435,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_2436,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_2437,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_2438,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_2439,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_2440,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_2441,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_2442,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_2443,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_2444,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_2445,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_2446,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_2447,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_2448,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_2449,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_2450,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_8,
    [final] ).

cnf(i_0_2451,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_2452,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_1,
    [final] ).

cnf(i_0_2453,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_2454,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_2455,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_2456,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_2457,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_16,
    [final] ).

cnf(i_0_2458,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_11,
    [final] ).

cnf(i_0_2459,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_7,
    [final] ).

cnf(i_0_2460,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_2461,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_16,
    [final] ).

cnf(i_0_2462,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_2463,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_2464,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_2465,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_2466,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_2467,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_2468,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_2469,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_2470,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_2471,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_2472,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_2473,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_2474,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_20,
    [final] ).

cnf(i_0_2475,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_10,
    [final] ).

cnf(i_0_2476,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_6,
    [final] ).

cnf(i_0_2477,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_2478,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_20,
    [final] ).

cnf(i_0_2479,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_2480,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_2481,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_2482,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_2483,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_2484,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_2485,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_2486,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_2487,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_2488,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_2489,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_2490,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_2491,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_2492,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_2493,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_2494,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_2495,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_2496,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_2497,axiom,
    ( class_Ring__and__Field_Osemiring(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_0,
    [final] ).

cnf(i_0_2498,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_2499,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_2500,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_2501,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_2502,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_16,
    [final] ).

cnf(i_0_2503,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_13,
    [final] ).

cnf(i_0_2504,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Power_Orecpower(X1) ),
    clsrel_Power_Orecpower_2,
    [final] ).

cnf(i_0_2505,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_20,
    [final] ).

cnf(i_0_2506,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_13,
    [final] ).

cnf(i_0_2507,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_13,
    [final] ).

cnf(i_0_2508,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_7,
    [final] ).

cnf(i_0_2509,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_2510,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_2511,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_18,
    [final] ).

cnf(i_0_2512,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_2513,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_2514,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    clsrel_Ring__and__Field_Osemiring__1_2,
    [final] ).

cnf(i_0_2515,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    clsrel_OrderedGroup_Ocomm__monoid__mult_0,
    [final] ).

cnf(i_0_2516,axiom,
    ( class_HOL_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    clsrel_OrderedGroup_Omonoid__mult_0,
    [final] ).

cnf(i_0_2517,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_2518,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_2519,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_8,
    [final] ).

cnf(i_0_2520,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    clsrel_Ring__and__Field_Ofield_5,
    [final] ).

cnf(i_0_2521,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Numeral_Onumber__ring(X1) ),
    clsrel_Numeral_Onumber__ring_12,
    [final] ).

cnf(i_0_2522,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_5,
    [final] ).

cnf(i_0_2523,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    clsrel_Ring__and__Field_Oidom_5,
    [final] ).

cnf(i_0_2524,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_2525,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_4,
    [final] ).

cnf(i_0_2526,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_2,
    [final] ).

cnf(i_0_2527,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_2,
    [final] ).

cnf(i_0_2528,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_3,
    [final] ).

cnf(i_0_2529,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_2,
    [final] ).

cnf(i_0_2530,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_2,
    [final] ).

cnf(i_0_2531,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_1,
    [final] ).

cnf(i_0_2532,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_2533,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_2534,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring__1(X1) ),
    clsrel_Ring__and__Field_Oring__1_2,
    [final] ).

cnf(i_0_2535,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    clsrel_Ring__and__Field_Ocomm__ring_13,
    [final] ).

cnf(i_0_2536,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_Ring__and__Field_Oring(X1) ),
    clsrel_Ring__and__Field_Oring_7,
    [final] ).

cnf(i_0_2537,axiom,
    ( class_HOL_Ominus(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    clsrel_OrderedGroup_Oab__group__add_0,
    [final] ).

cnf(i_0_2538,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_2539,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_59,
    [final] ).

cnf(i_0_2540,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_0,
    [final] ).

cnf(i_0_2541,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_45,
    [final] ).

cnf(i_0_2542,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_39,
    [final] ).

cnf(i_0_2543,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_2544,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_11,
    [final] ).

cnf(i_0_2545,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_9,
    [final] ).

cnf(i_0_2546,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_9,
    [final] ).

cnf(i_0_2547,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_18,
    [final] ).

cnf(i_0_2548,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_18,
    [final] ).

cnf(i_0_2549,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_9,
    [final] ).

cnf(i_0_2550,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_11,
    [final] ).

cnf(i_0_2551,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_2552,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_2553,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_2554,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_2555,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_2556,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_2557,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_11,
    [final] ).

cnf(i_0_2558,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_2559,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_2560,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_2561,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_1,
    [final] ).

cnf(i_0_2562,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_1,
    [final] ).

cnf(i_0_2563,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    clsrel_LOrder_Ojoin__semilorder_0,
    [final] ).

cnf(i_0_2564,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    clsrel_LOrder_Omeet__semilorder_0,
    [final] ).

cnf(i_0_2565,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_3,
    [final] ).

cnf(i_0_2566,axiom,
    ( class_Orderings_Oord(X1)
    | ~ class_Orderings_Oorder(X1) ),
    clsrel_Orderings_Oorder_0,
    [final] ).

cnf(i_0_2567,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_41,
    [final] ).

cnf(i_0_2568,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_5,
    [final] ).

cnf(i_0_2569,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_33,
    [final] ).

cnf(i_0_2570,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_27,
    [final] ).

cnf(i_0_2571,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_2572,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_2573,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_2574,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_2575,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_2576,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    clsrel_Ring__and__Field_Oordered__field_58,
    [final] ).

cnf(i_0_2577,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Wellfounded__Recursion_Owellorder(X1) ),
    clsrel_Wellfounded__Recursion_Owellorder_1,
    [final] ).

cnf(i_0_2578,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_44,
    [final] ).

cnf(i_0_2579,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    clsrel_Ring__and__Field_Oordered__semidom_38,
    [final] ).

cnf(i_0_2580,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_2581,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    clsrel_Ring__and__Field_Olordered__ring_10,
    [final] ).

cnf(i_0_2582,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__join_8,
    [final] ).

cnf(i_0_2583,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__meet_8,
    [final] ).

cnf(i_0_2584,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group__abs_17,
    [final] ).

cnf(i_0_2585,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    clsrel_Ring__and__Field_Opordered__ring_17,
    [final] ).

cnf(i_0_2586,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
    clsrel_OrderedGroup_Olordered__ab__group_8,
    [final] ).

cnf(i_0_2587,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__group__add_10,
    [final] ).

cnf(i_0_2588,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_2589,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_2590,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_2591,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_2592,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_2593,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    clsrel_Ring__and__Field_Opordered__semiring_10,
    [final] ).

cnf(i_0_2594,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_2595,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_2596,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_2597,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1) ),
    clsrel_OrderedGroup_Opordered__ab__semigroup__add_0,
    [final] ).

cnf(i_0_2598,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Olorder(X1) ),
    clsrel_LOrder_Olorder_2,
    [final] ).

cnf(i_0_2599,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Ojoin__semilorder(X1) ),
    clsrel_LOrder_Ojoin__semilorder_1,
    [final] ).

cnf(i_0_2600,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_LOrder_Omeet__semilorder(X1) ),
    clsrel_LOrder_Omeet__semilorder_1,
    [final] ).

cnf(i_0_2601,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Orderings_Olinorder(X1) ),
    clsrel_Orderings_Olinorder_4,
    [final] ).

cnf(i_0_2602,axiom,
    c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
    cls_Wellfounded__Relations_Otrans__less__than_0,
    [final] ).

cnf(i_0_2603,axiom,
    c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
    cls_Wellfounded__Relations_Owf__less__than_0,
    [final] ).

cnf(i_0_2604,axiom,
    class_Nat_Opower(tc_set(X1)),
    clsarity_set_4,
    [final] ).

cnf(i_0_2605,axiom,
    class_HOL_Ominus(tc_set(X1)),
    clsarity_set_0,
    [final] ).

cnf(i_0_2606,axiom,
    class_Orderings_Oord(tc_set(X1)),
    clsarity_set_1,
    [final] ).

cnf(i_0_2607,axiom,
    class_Orderings_Oorder(tc_set(X1)),
    clsarity_set_2,
    [final] ).

cnf(i_0_2608,axiom,
    c_Suc(X1) != c_0,
    cls_Nat_OSuc__not__Zero__iff1_0,
    [final] ).

cnf(i_0_2609,axiom,
    c_0 != c_Suc(X1),
    cls_Nat_OZero__not__Suc__iff1_0,
    [final] ).

cnf(i_0_2610,axiom,
    class_Wellfounded__Recursion_Owellorder(tc_nat),
    clsarity_nat_8,
    [final] ).

cnf(i_0_2611,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_9,
    [final] ).

cnf(i_0_2612,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    clsarity_nat_17,
    [final] ).

cnf(i_0_2613,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_8,
    [final] ).

cnf(i_0_2614,axiom,
    class_OrderedGroup_Osemigroup__mult(tc_nat),
    clsarity_nat_16,
    [final] ).

cnf(i_0_2615,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_7,
    [final] ).

cnf(i_0_2616,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    clsarity_nat_15,
    [final] ).

cnf(i_0_2617,axiom,
    class_Parity_Oeven__odd(tc_IntDef_Oint),
    clsarity_IntDef__Oint_64,
    [final] ).

cnf(i_0_2618,axiom,
    class_Parity_Oeven__odd(tc_nat),
    clsarity_nat_47,
    [final] ).

cnf(i_0_2619,axiom,
    class_Power_Orecpower(tc_IntDef_Oint),
    clsarity_IntDef__Oint_63,
    [final] ).

cnf(i_0_2620,axiom,
    class_Power_Orecpower(tc_nat),
    clsarity_nat_45,
    [final] ).

cnf(i_0_2621,axiom,
    class_Nat_Opower(tc_IntDef_Oint),
    clsarity_IntDef__Oint_62,
    [final] ).

cnf(i_0_2622,axiom,
    class_Nat_Opower(tc_nat),
    clsarity_nat_12,
    [final] ).

cnf(i_0_2623,axiom,
    class_Divides_Odiv(tc_IntDef_Oint),
    clsarity_IntDef__Oint_61,
    [final] ).

cnf(i_0_2624,axiom,
    class_Divides_Odiv(tc_nat),
    clsarity_nat_44,
    [final] ).

cnf(i_0_2625,axiom,
    class_Numeral_Onumber__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_60,
    [final] ).

cnf(i_0_2626,axiom,
    class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_6,
    [final] ).

cnf(i_0_2627,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    clsarity_nat_14,
    [final] ).

cnf(i_0_2628,axiom,
    class_Numeral_Onumber(tc_IntDef_Oint),
    clsarity_IntDef__Oint_59,
    [final] ).

cnf(i_0_2629,axiom,
    class_Numeral_Onumber(tc_nat),
    clsarity_nat_46,
    [final] ).

cnf(i_0_2630,axiom,
    class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_58,
    [final] ).

cnf(i_0_2631,axiom,
    class_Ring__and__Field_Oidom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_57,
    [final] ).

cnf(i_0_2632,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
    clsarity_IntDef__Oint_56,
    [final] ).

cnf(i_0_2633,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    clsarity_nat_43,
    [final] ).

cnf(i_0_2634,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_55,
    [final] ).

cnf(i_0_2635,axiom,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
    clsarity_IntDef__Oint_54,
    [final] ).

cnf(i_0_2636,axiom,
    class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_53,
    [final] ).

cnf(i_0_2637,axiom,
    class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
    clsarity_IntDef__Oint_52,
    [final] ).

cnf(i_0_2638,axiom,
    class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
    clsarity_IntDef__Oint_51,
    [final] ).

cnf(i_0_2639,axiom,
    class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
    clsarity_IntDef__Oint_50,
    [final] ).

cnf(i_0_2640,axiom,
    class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_49,
    [final] ).

cnf(i_0_2641,axiom,
    class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
    clsarity_IntDef__Oint_48,
    [final] ).

cnf(i_0_2642,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_47,
    [final] ).

cnf(i_0_2643,axiom,
    class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
    clsarity_IntDef__Oint_46,
    [final] ).

cnf(i_0_2644,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_45,
    [final] ).

cnf(i_0_2645,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    clsarity_nat_42,
    [final] ).

cnf(i_0_2646,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_44,
    [final] ).

cnf(i_0_2647,axiom,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
    clsarity_nat_41,
    [final] ).

cnf(i_0_2648,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_43,
    [final] ).

cnf(i_0_2649,axiom,
    class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
    clsarity_nat_40,
    [final] ).

cnf(i_0_2650,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
    clsarity_IntDef__Oint_42,
    [final] ).

cnf(i_0_2651,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    clsarity_nat_39,
    [final] ).

cnf(i_0_2652,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_41,
    [final] ).

cnf(i_0_2653,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    clsarity_nat_38,
    [final] ).

cnf(i_0_2654,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_40,
    [final] ).

cnf(i_0_2655,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    clsarity_nat_37,
    [final] ).

cnf(i_0_2656,axiom,
    class_HOL_Ozero(tc_IntDef_Oint),
    clsarity_IntDef__Oint_4,
    [final] ).

cnf(i_0_2657,axiom,
    class_HOL_Ozero(tc_nat),
    clsarity_nat_1,
    [final] ).

cnf(i_0_2658,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_39,
    [final] ).

cnf(i_0_2659,axiom,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
    clsarity_nat_36,
    [final] ).

cnf(i_0_2660,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
    clsarity_IntDef__Oint_38,
    [final] ).

cnf(i_0_2661,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    clsarity_nat_35,
    [final] ).

cnf(i_0_2662,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_37,
    [final] ).

cnf(i_0_2663,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    clsarity_nat_34,
    [final] ).

cnf(i_0_2664,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_36,
    [final] ).

cnf(i_0_2665,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    clsarity_nat_33,
    [final] ).

cnf(i_0_2666,axiom,
    class_LOrder_Olorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_34,
    [final] ).

cnf(i_0_2667,axiom,
    class_LOrder_Olorder(tc_nat),
    clsarity_nat_6,
    [final] ).

cnf(i_0_2668,axiom,
    class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_33,
    [final] ).

cnf(i_0_2669,axiom,
    class_LOrder_Ojoin__semilorder(tc_nat),
    clsarity_nat_5,
    [final] ).

cnf(i_0_2670,axiom,
    class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_32,
    [final] ).

cnf(i_0_2671,axiom,
    class_LOrder_Omeet__semilorder(tc_nat),
    clsarity_nat_4,
    [final] ).

cnf(i_0_2672,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_30,
    [final] ).

cnf(i_0_2673,axiom,
    class_HOL_Otimes(tc_IntDef_Oint),
    clsarity_IntDef__Oint_3,
    [final] ).

cnf(i_0_2674,axiom,
    class_HOL_Otimes(tc_nat),
    clsarity_nat_11,
    [final] ).

cnf(i_0_2675,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_29,
    [final] ).

cnf(i_0_2676,axiom,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
    clsarity_nat_32,
    [final] ).

cnf(i_0_2677,axiom,
    class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_28,
    [final] ).

cnf(i_0_2678,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_27,
    [final] ).

cnf(i_0_2679,axiom,
    class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
    clsarity_nat_30,
    [final] ).

cnf(i_0_2680,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_26,
    [final] ).

cnf(i_0_2681,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    clsarity_nat_26,
    [final] ).

cnf(i_0_2682,axiom,
    class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_25,
    [final] ).

cnf(i_0_2683,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    clsarity_nat_25,
    [final] ).

cnf(i_0_2684,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_24,
    [final] ).

cnf(i_0_2685,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    clsarity_nat_24,
    [final] ).

cnf(i_0_2686,axiom,
    class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
    clsarity_IntDef__Oint_23,
    [final] ).

cnf(i_0_2687,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    clsarity_nat_23,
    [final] ).

cnf(i_0_2688,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
    clsarity_IntDef__Oint_22,
    [final] ).

cnf(i_0_2689,axiom,
    class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
    clsarity_nat_13,
    [final] ).

cnf(i_0_2690,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_21,
    [final] ).

cnf(i_0_2691,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_20,
    [final] ).

cnf(i_0_2692,axiom,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
    clsarity_nat_31,
    [final] ).

cnf(i_0_2693,axiom,
    class_HOL_Oplus(tc_IntDef_Oint),
    clsarity_IntDef__Oint_2,
    [final] ).

cnf(i_0_2694,axiom,
    class_HOL_Oplus(tc_nat),
    clsarity_nat_10,
    [final] ).

cnf(i_0_2695,axiom,
    class_Ring__and__Field_Oring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_19,
    [final] ).

cnf(i_0_2696,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
    clsarity_IntDef__Oint_18,
    [final] ).

cnf(i_0_2697,axiom,
    class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
    clsarity_nat_29,
    [final] ).

cnf(i_0_2698,axiom,
    class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_17,
    [final] ).

cnf(i_0_2699,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_16,
    [final] ).

cnf(i_0_2700,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    clsarity_nat_28,
    [final] ).

cnf(i_0_2701,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_15,
    [final] ).

cnf(i_0_2702,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    clsarity_nat_27,
    [final] ).

cnf(i_0_2703,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
    clsarity_IntDef__Oint_14,
    [final] ).

cnf(i_0_2704,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    clsarity_nat_22,
    [final] ).

cnf(i_0_2705,axiom,
    class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
    clsarity_IntDef__Oint_13,
    [final] ).

cnf(i_0_2706,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    clsarity_nat_21,
    [final] ).

cnf(i_0_2707,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
    clsarity_IntDef__Oint_12,
    [final] ).

cnf(i_0_2708,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    clsarity_nat_20,
    [final] ).

cnf(i_0_2709,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_11,
    [final] ).

cnf(i_0_2710,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    clsarity_nat_19,
    [final] ).

cnf(i_0_2711,axiom,
    class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
    clsarity_IntDef__Oint_10,
    [final] ).

cnf(i_0_2712,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    clsarity_nat_18,
    [final] ).

cnf(i_0_2713,axiom,
    class_HOL_Oone(tc_IntDef_Oint),
    clsarity_IntDef__Oint_1,
    [final] ).

cnf(i_0_2714,axiom,
    class_HOL_Oone(tc_nat),
    clsarity_nat_0,
    [final] ).

cnf(i_0_2715,axiom,
    class_HOL_Ominus(tc_IntDef_Oint),
    clsarity_IntDef__Oint_0,
    [final] ).

cnf(i_0_2716,axiom,
    class_HOL_Ominus(tc_nat),
    clsarity_nat_9,
    [final] ).

cnf(i_0_2717,axiom,
    class_Finite__Set_Ofinite(tc_bool),
    clsarity_bool_0,
    [final] ).

cnf(i_0_2718,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    clsarity_Product____Type__Ounit_0,
    [final] ).

cnf(i_0_2719,axiom,
    class_Orderings_Oord(tc_IntDef_Oint),
    clsarity_IntDef__Oint_5,
    [final] ).

cnf(i_0_2720,axiom,
    class_Orderings_Oord(tc_nat),
    clsarity_nat_2,
    [final] ).

cnf(i_0_2721,axiom,
    class_Orderings_Olinorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_35,
    [final] ).

cnf(i_0_2722,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat_7,
    [final] ).

cnf(i_0_2723,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    clsarity_IntDef__Oint_31,
    [final] ).

cnf(i_0_2724,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat_3,
    [final] ).

cnf(i_0_2725,axiom,
    c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
    cls_Numeral_Obit_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_2726,axiom,
    c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
    cls_Numeral_Obit_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_2727,axiom,
    c_UNIV != c_emptyset,
    cls_Set_OUNIV__not__empty__iff1_0,
    [final] ).

cnf(i_0_2728,axiom,
    c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
    cls_Extraction_Osumbool_Odistinct__2__iff1_0,
    [final] ).

cnf(i_0_2729,axiom,
    c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
    cls_Extraction_Osumbool_Odistinct__1__iff1_0,
    [final] ).

cnf(i_0_2730,axiom,
    X1 = X1 ).

cnf(i_0_2731,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_2732,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_2733,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_2734,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_2735,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_2736,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_2737,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).

cnf(i_0_2738,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).

cnf(i_0_2739,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).

cnf(i_0_2740,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X1,X3) = c_List_Ochar_OChar(X2,X3) ) ).

cnf(i_0_2741,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X3,X1) = c_List_Ochar_OChar(X3,X2) ) ).

cnf(i_0_2742,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) = c_Datatype__Universe_OIn1(X2,X3,X4) ) ).

cnf(i_0_2743,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X1,X4) = c_Datatype__Universe_OIn1(X3,X2,X4) ) ).

cnf(i_0_2744,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X4,X1) = c_Datatype__Universe_OIn1(X3,X4,X2) ) ).

cnf(i_0_2745,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) = c_Datatype__Universe_OIn0(X2,X3,X4) ) ).

cnf(i_0_2746,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X1,X4) = c_Datatype__Universe_OIn0(X3,X2,X4) ) ).

cnf(i_0_2747,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X4,X1) = c_Datatype__Universe_OIn0(X3,X4,X2) ) ).

cnf(i_0_2748,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).

cnf(i_0_2749,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).

cnf(i_0_2750,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).

cnf(i_0_2751,axiom,
    ( X1 != X2
    | c_insert(X1,X3,X4) = c_insert(X2,X3,X4) ) ).

cnf(i_0_2752,axiom,
    ( X1 != X2
    | c_insert(X3,X1,X4) = c_insert(X3,X2,X4) ) ).

cnf(i_0_2753,axiom,
    ( X1 != X2
    | c_insert(X3,X4,X1) = c_insert(X3,X4,X2) ) ).

cnf(i_0_2754,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X1,X3,X4) = c_Sum__Type_OInl(X2,X3,X4) ) ).

cnf(i_0_2755,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X1,X4) = c_Sum__Type_OInl(X3,X2,X4) ) ).

cnf(i_0_2756,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X4,X1) = c_Sum__Type_OInl(X3,X4,X2) ) ).

cnf(i_0_2757,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X1,X3,X4) = c_Sum__Type_OInr(X2,X3,X4) ) ).

cnf(i_0_2758,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X1,X4) = c_Sum__Type_OInr(X3,X2,X4) ) ).

cnf(i_0_2759,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X4,X1) = c_Sum__Type_OInr(X3,X4,X2) ) ).

cnf(i_0_2760,axiom,
    ( X1 != X2
    | c_Zorn_Osucc(X1,X3,X4) = c_Zorn_Osucc(X2,X3,X4) ) ).

cnf(i_0_2761,axiom,
    ( X1 != X2
    | c_Zorn_Osucc(X3,X1,X4) = c_Zorn_Osucc(X3,X2,X4) ) ).

cnf(i_0_2762,axiom,
    ( X1 != X2
    | c_Zorn_Osucc(X3,X4,X1) = c_Zorn_Osucc(X3,X4,X2) ) ).

cnf(i_0_2763,axiom,
    ( X1 != X2
    | c_append(X1,X3,X4) = c_append(X2,X3,X4) ) ).

cnf(i_0_2764,axiom,
    ( X1 != X2
    | c_append(X3,X1,X4) = c_append(X3,X2,X4) ) ).

cnf(i_0_2765,axiom,
    ( X1 != X2
    | c_append(X3,X4,X1) = c_append(X3,X4,X2) ) ).

cnf(i_0_2766,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4) ) ).

cnf(i_0_2767,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X1,X4) = c_Datatype__Universe_ONumb(X3,X2,X4) ) ).

cnf(i_0_2768,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X4,X1) = c_Datatype__Universe_ONumb(X3,X4,X2) ) ).

cnf(i_0_2769,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4) ) ).

cnf(i_0_2770,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X1,X4) = c_Datatype__Universe_OLeaf(X3,X2,X4) ) ).

cnf(i_0_2771,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X4,X1) = c_Datatype__Universe_OLeaf(X3,X4,X2) ) ).

cnf(i_0_2772,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4) ) ).

cnf(i_0_2773,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X1,X4) = c_Datatype__Universe_OAtom(X3,X2,X4) ) ).

cnf(i_0_2774,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X4,X1) = c_Datatype__Universe_OAtom(X3,X4,X2) ) ).

cnf(i_0_2775,axiom,
    ( X1 != X2
    | c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).

cnf(i_0_2776,axiom,
    ( X1 != X2
    | c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).

cnf(i_0_2777,axiom,
    ( X1 != X2
    | c_union(X1,X3,X4) = c_union(X2,X3,X4) ) ).

cnf(i_0_2778,axiom,
    ( X1 != X2
    | c_union(X3,X1,X4) = c_union(X3,X2,X4) ) ).

cnf(i_0_2779,axiom,
    ( X1 != X2
    | c_union(X3,X4,X1) = c_union(X3,X4,X2) ) ).

cnf(i_0_2780,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) = c_Datatype__Universe_OScons(X2,X3,X4,X5) ) ).

cnf(i_0_2781,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) = c_Datatype__Universe_OScons(X3,X2,X4,X5) ) ).

cnf(i_0_2782,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X1,X5) = c_Datatype__Universe_OScons(X3,X4,X2,X5) ) ).

cnf(i_0_2783,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X5,X1) = c_Datatype__Universe_OScons(X3,X4,X5,X2) ) ).

cnf(i_0_2784,axiom,
    ( X1 != X2
    | c_plus(X1,X3,X4) = c_plus(X2,X3,X4) ) ).

cnf(i_0_2785,axiom,
    ( X1 != X2
    | c_plus(X3,X1,X4) = c_plus(X3,X2,X4) ) ).

cnf(i_0_2786,axiom,
    ( X1 != X2
    | c_plus(X3,X4,X1) = c_plus(X3,X4,X2) ) ).

cnf(i_0_2787,axiom,
    ( X1 != X2
    | c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).

cnf(i_0_2788,axiom,
    ( X1 != X2
    | c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).

cnf(i_0_2789,axiom,
    ( X1 != X2
    | c_uminus(X1,X3) = c_uminus(X2,X3) ) ).

cnf(i_0_2790,axiom,
    ( X1 != X2
    | c_uminus(X3,X1) = c_uminus(X3,X2) ) ).

cnf(i_0_2791,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X1,X3) = c_SetInterval_OlessThan(X2,X3) ) ).

cnf(i_0_2792,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X3,X1) = c_SetInterval_OlessThan(X3,X2) ) ).

cnf(i_0_2793,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X1,X3) = c_SetInterval_OatMost(X2,X3) ) ).

cnf(i_0_2794,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X3,X1) = c_SetInterval_OatMost(X3,X2) ) ).

cnf(i_0_2795,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X1,X3) = c_SetInterval_OgreaterThan(X2,X3) ) ).

cnf(i_0_2796,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X3,X1) = c_SetInterval_OgreaterThan(X3,X2) ) ).

cnf(i_0_2797,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X1,X3) = c_SetInterval_OatLeast(X2,X3) ) ).

cnf(i_0_2798,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X3,X1) = c_SetInterval_OatLeast(X3,X2) ) ).

cnf(i_0_2799,axiom,
    ( X1 != X2
    | c_Nat_Osize(X1,X3) = c_Nat_Osize(X2,X3) ) ).

cnf(i_0_2800,axiom,
    ( X1 != X2
    | c_Nat_Osize(X3,X1) = c_Nat_Osize(X3,X2) ) ).

cnf(i_0_2801,axiom,
    ( X1 != X2
    | c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).

cnf(i_0_2802,axiom,
    ( X1 != X2
    | c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).

cnf(i_0_2803,axiom,
    ( X1 != X2
    | c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).

cnf(i_0_2804,axiom,
    ( X1 != X2
    | c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).

cnf(i_0_2805,axiom,
    ( X1 != X2
    | c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).

cnf(i_0_2806,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X1,X3,X4) = c_Divides_Oop_Amod(X2,X3,X4) ) ).

cnf(i_0_2807,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X1,X4) = c_Divides_Oop_Amod(X3,X2,X4) ) ).

cnf(i_0_2808,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X4,X1) = c_Divides_Oop_Amod(X3,X4,X2) ) ).

cnf(i_0_2809,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_2810,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X1,X3) = c_Datatype_Ooption_OSome(X2,X3) ) ).

cnf(i_0_2811,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X3,X1) = c_Datatype_Ooption_OSome(X3,X2) ) ).

cnf(i_0_2812,axiom,
    ( X1 != X2
    | c_IntDef_Oint(X1) = c_IntDef_Oint(X2) ) ).

cnf(i_0_2813,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_2814,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_2815,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_2816,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X1,X3)
    | c_Infinite__Set_Oatmost__one(X2,X3) ) ).

cnf(i_0_2817,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X3,X1)
    | c_Infinite__Set_Oatmost__one(X3,X2) ) ).

cnf(i_0_2818,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_2819,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(X2) ) ).

cnf(i_0_2820,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(X2,X3) ) ).

cnf(i_0_2821,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X3,X1)
    | c_List_Odistinct(X3,X2) ) ).

cnf(i_0_2822,axiom,
    ( X1 != X2
    | ~ class_Nat_Opower(X1)
    | class_Nat_Opower(X2) ) ).

cnf(i_0_2823,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_2824,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_2825,axiom,
    ( X1 != X2
    | ~ class_HOL_Oinverse(X1)
    | class_HOL_Oinverse(X2) ) ).

cnf(i_0_2826,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_2827,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X2) ) ).

cnf(i_0_2828,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | c_Wellfounded__Recursion_Owf(X2,X3) ) ).

cnf(i_0_2829,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X3,X1)
    | c_Wellfounded__Recursion_Owf(X3,X2) ) ).

cnf(i_0_2830,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Opordered__comm__ring(X2) ) ).

cnf(i_0_2831,axiom,
    ( X1 != X2
    | ~ class_Power_Orecpower(X1)
    | class_Power_Orecpower(X2) ) ).

cnf(i_0_2832,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber__ring(X2) ) ).

cnf(i_0_2833,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_2834,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_2835,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_2836,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).

cnf(i_0_2837,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X2) ) ).

cnf(i_0_2838,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X2) ) ).

cnf(i_0_2839,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X2) ) ).

cnf(i_0_2840,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X3)
    | c_Wellfounded__Recursion_Oacyclic(X2,X3) ) ).

cnf(i_0_2841,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X3,X1)
    | c_Wellfounded__Recursion_Oacyclic(X3,X2) ) ).

cnf(i_0_2842,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ) ).

cnf(i_0_2843,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_2844,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_2845,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(X2) ) ).

cnf(i_0_2846,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X2) ) ).

cnf(i_0_2847,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X2) ) ).

cnf(i_0_2848,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X2) ) ).

cnf(i_0_2849,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X2) ) ).

cnf(i_0_2850,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X2) ) ).

cnf(i_0_2851,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Olordered__ring(X2) ) ).

cnf(i_0_2852,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X1,X3,X4)
    | c_Divides_Oop_Advd(X2,X3,X4) ) ).

cnf(i_0_2853,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X1,X4)
    | c_Divides_Oop_Advd(X3,X2,X4) ) ).

cnf(i_0_2854,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X4,X1)
    | c_Divides_Oop_Advd(X3,X4,X2) ) ).

cnf(i_0_2855,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X2) ) ).

cnf(i_0_2856,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).

cnf(i_0_2857,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).

cnf(i_0_2858,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X2) ) ).

cnf(i_0_2859,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring__1(X2) ) ).

cnf(i_0_2860,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X2) ) ).

cnf(i_0_2861,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X2) ) ).

cnf(i_0_2862,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_2863,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_2864,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X2) ) ).

cnf(i_0_2865,axiom,
    ( X1 != X2
    | ~ c_less(X1,X3,X4)
    | c_less(X2,X3,X4) ) ).

cnf(i_0_2866,axiom,
    ( X1 != X2
    | ~ c_less(X3,X1,X4)
    | c_less(X3,X2,X4) ) ).

cnf(i_0_2867,axiom,
    ( X1 != X2
    | ~ c_less(X3,X4,X1)
    | c_less(X3,X4,X2) ) ).

cnf(i_0_2868,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X2) ) ).

cnf(i_0_2869,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring(X1)
    | class_Ring__and__Field_Osemiring(X2) ) ).

cnf(i_0_2870,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_2871,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X2) ) ).

cnf(i_0_2872,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X2) ) ).

cnf(i_0_2873,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X2) ) ).

cnf(i_0_2874,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Olordered__ab__group(X2) ) ).

cnf(i_0_2875,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_2876,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2877,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_2878,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_2879,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_2880,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_2881,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2882,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_2883,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_2884,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2885,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_2886,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X2) ) ).

cnf(i_0_2887,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_2888,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber(X1)
    | class_Numeral_Onumber(X2) ) ).

cnf(i_0_2889,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X2) ) ).

cnf(i_0_2890,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X2) ) ).

cnf(i_0_2891,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(X2,X3) ) ).

cnf(i_0_2892,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X3,X1)
    | c_Relation_Otrans(X3,X2) ) ).

cnf(i_0_2893,axiom,
    ( X1 != X2
    | ~ class_HOL_Ozero(X1)
    | class_HOL_Ozero(X2) ) ).

cnf(i_0_2894,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X2) ) ).

cnf(i_0_2895,axiom,
    ( X1 != X2
    | ~ class_LOrder_Olorder(X1)
    | class_LOrder_Olorder(X2) ) ).

cnf(i_0_2896,axiom,
    ( X1 != X2
    | ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Wellfounded__Recursion_Owellorder(X2) ) ).

cnf(i_0_2897,axiom,
    ( X1 != X2
    | ~ class_LOrder_Ojoin__semilorder(X1)
    | class_LOrder_Ojoin__semilorder(X2) ) ).

cnf(i_0_2898,axiom,
    ( X1 != X2
    | ~ class_LOrder_Omeet__semilorder(X1)
    | class_LOrder_Omeet__semilorder(X2) ) ).

cnf(i_0_2899,axiom,
    ( X1 != X2
    | ~ class_HOL_Otimes(X1)
    | class_HOL_Otimes(X2) ) ).

cnf(i_0_2900,axiom,
    ( X1 != X2
    | ~ class_HOL_Oplus(X1)
    | class_HOL_Oplus(X2) ) ).

cnf(i_0_2901,axiom,
    ( X1 != X2
    | ~ class_HOL_Oone(X1)
    | class_HOL_Oone(X2) ) ).

cnf(i_0_2902,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_2903,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_2904,axiom,
    ( X1 != X2
    | ~ class_Parity_Oeven__odd(X1)
    | class_Parity_Oeven__odd(X2) ) ).

cnf(i_0_2905,axiom,
    ( X1 != X2
    | ~ class_Divides_Odiv(X1)
    | class_Divides_Odiv(X2) ) ).

cnf(i_0_2906,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_2730_001,axiom,
    X1 = X1 ).

cnf(i_0_2731_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_2732_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_2733_004,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_2734_005,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_2735_006,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_2736_007,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_2737_008,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).

cnf(i_0_2738_009,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).

cnf(i_0_2739_010,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).

cnf(i_0_2740_011,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X1,X3) = c_List_Ochar_OChar(X2,X3) ) ).

cnf(i_0_2741_012,axiom,
    ( X1 != X2
    | c_List_Ochar_OChar(X3,X1) = c_List_Ochar_OChar(X3,X2) ) ).

cnf(i_0_2742_013,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X1,X3,X4) = c_Datatype__Universe_OIn1(X2,X3,X4) ) ).

cnf(i_0_2743_014,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X1,X4) = c_Datatype__Universe_OIn1(X3,X2,X4) ) ).

cnf(i_0_2744_015,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn1(X3,X4,X1) = c_Datatype__Universe_OIn1(X3,X4,X2) ) ).

cnf(i_0_2745_016,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X1,X3,X4) = c_Datatype__Universe_OIn0(X2,X3,X4) ) ).

cnf(i_0_2746_017,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X1,X4) = c_Datatype__Universe_OIn0(X3,X2,X4) ) ).

cnf(i_0_2747_018,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OIn0(X3,X4,X1) = c_Datatype__Universe_OIn0(X3,X4,X2) ) ).

cnf(i_0_2748_019,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).

cnf(i_0_2749_020,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).

cnf(i_0_2750_021,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).

cnf(i_0_2751_022,axiom,
    ( X1 != X2
    | c_insert(X1,X3,X4) = c_insert(X2,X3,X4) ) ).

cnf(i_0_2752_023,axiom,
    ( X1 != X2
    | c_insert(X3,X1,X4) = c_insert(X3,X2,X4) ) ).

cnf(i_0_2753_024,axiom,
    ( X1 != X2
    | c_insert(X3,X4,X1) = c_insert(X3,X4,X2) ) ).

cnf(i_0_2754_025,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X1,X3,X4) = c_Sum__Type_OInl(X2,X3,X4) ) ).

cnf(i_0_2755_026,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X1,X4) = c_Sum__Type_OInl(X3,X2,X4) ) ).

cnf(i_0_2756_027,axiom,
    ( X1 != X2
    | c_Sum__Type_OInl(X3,X4,X1) = c_Sum__Type_OInl(X3,X4,X2) ) ).

cnf(i_0_2757_028,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X1,X3,X4) = c_Sum__Type_OInr(X2,X3,X4) ) ).

cnf(i_0_2758_029,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X1,X4) = c_Sum__Type_OInr(X3,X2,X4) ) ).

cnf(i_0_2759_030,axiom,
    ( X1 != X2
    | c_Sum__Type_OInr(X3,X4,X1) = c_Sum__Type_OInr(X3,X4,X2) ) ).

cnf(i_0_2760_031,axiom,
    ( X1 != X2
    | c_Zorn_Osucc(X1,X3,X4) = c_Zorn_Osucc(X2,X3,X4) ) ).

cnf(i_0_2761_032,axiom,
    ( X1 != X2
    | c_Zorn_Osucc(X3,X1,X4) = c_Zorn_Osucc(X3,X2,X4) ) ).

cnf(i_0_2762_033,axiom,
    ( X1 != X2
    | c_Zorn_Osucc(X3,X4,X1) = c_Zorn_Osucc(X3,X4,X2) ) ).

cnf(i_0_2763_034,axiom,
    ( X1 != X2
    | c_append(X1,X3,X4) = c_append(X2,X3,X4) ) ).

cnf(i_0_2764_035,axiom,
    ( X1 != X2
    | c_append(X3,X1,X4) = c_append(X3,X2,X4) ) ).

cnf(i_0_2765_036,axiom,
    ( X1 != X2
    | c_append(X3,X4,X1) = c_append(X3,X4,X2) ) ).

cnf(i_0_2766_037,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X1,X3,X4) = c_Datatype__Universe_ONumb(X2,X3,X4) ) ).

cnf(i_0_2767_038,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X1,X4) = c_Datatype__Universe_ONumb(X3,X2,X4) ) ).

cnf(i_0_2768_039,axiom,
    ( X1 != X2
    | c_Datatype__Universe_ONumb(X3,X4,X1) = c_Datatype__Universe_ONumb(X3,X4,X2) ) ).

cnf(i_0_2769_040,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X1,X3,X4) = c_Datatype__Universe_OLeaf(X2,X3,X4) ) ).

cnf(i_0_2770_041,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X1,X4) = c_Datatype__Universe_OLeaf(X3,X2,X4) ) ).

cnf(i_0_2771_042,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OLeaf(X3,X4,X1) = c_Datatype__Universe_OLeaf(X3,X4,X2) ) ).

cnf(i_0_2772_043,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X1,X3,X4) = c_Datatype__Universe_OAtom(X2,X3,X4) ) ).

cnf(i_0_2773_044,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X1,X4) = c_Datatype__Universe_OAtom(X3,X2,X4) ) ).

cnf(i_0_2774_045,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OAtom(X3,X4,X1) = c_Datatype__Universe_OAtom(X3,X4,X2) ) ).

cnf(i_0_2775_046,axiom,
    ( X1 != X2
    | c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).

cnf(i_0_2776_047,axiom,
    ( X1 != X2
    | c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).

cnf(i_0_2777_048,axiom,
    ( X1 != X2
    | c_union(X1,X3,X4) = c_union(X2,X3,X4) ) ).

cnf(i_0_2778_049,axiom,
    ( X1 != X2
    | c_union(X3,X1,X4) = c_union(X3,X2,X4) ) ).

cnf(i_0_2779_050,axiom,
    ( X1 != X2
    | c_union(X3,X4,X1) = c_union(X3,X4,X2) ) ).

cnf(i_0_2780_051,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X1,X3,X4,X5) = c_Datatype__Universe_OScons(X2,X3,X4,X5) ) ).

cnf(i_0_2781_052,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X1,X4,X5) = c_Datatype__Universe_OScons(X3,X2,X4,X5) ) ).

cnf(i_0_2782_053,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X1,X5) = c_Datatype__Universe_OScons(X3,X4,X2,X5) ) ).

cnf(i_0_2783_054,axiom,
    ( X1 != X2
    | c_Datatype__Universe_OScons(X3,X4,X5,X1) = c_Datatype__Universe_OScons(X3,X4,X5,X2) ) ).

cnf(i_0_2784_055,axiom,
    ( X1 != X2
    | c_plus(X1,X3,X4) = c_plus(X2,X3,X4) ) ).

cnf(i_0_2785_056,axiom,
    ( X1 != X2
    | c_plus(X3,X1,X4) = c_plus(X3,X2,X4) ) ).

cnf(i_0_2786_057,axiom,
    ( X1 != X2
    | c_plus(X3,X4,X1) = c_plus(X3,X4,X2) ) ).

cnf(i_0_2787_058,axiom,
    ( X1 != X2
    | c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).

cnf(i_0_2788_059,axiom,
    ( X1 != X2
    | c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).

cnf(i_0_2789_060,axiom,
    ( X1 != X2
    | c_uminus(X1,X3) = c_uminus(X2,X3) ) ).

cnf(i_0_2790_061,axiom,
    ( X1 != X2
    | c_uminus(X3,X1) = c_uminus(X3,X2) ) ).

cnf(i_0_2791_062,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X1,X3) = c_SetInterval_OlessThan(X2,X3) ) ).

cnf(i_0_2792_063,axiom,
    ( X1 != X2
    | c_SetInterval_OlessThan(X3,X1) = c_SetInterval_OlessThan(X3,X2) ) ).

cnf(i_0_2793_064,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X1,X3) = c_SetInterval_OatMost(X2,X3) ) ).

cnf(i_0_2794_065,axiom,
    ( X1 != X2
    | c_SetInterval_OatMost(X3,X1) = c_SetInterval_OatMost(X3,X2) ) ).

cnf(i_0_2795_066,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X1,X3) = c_SetInterval_OgreaterThan(X2,X3) ) ).

cnf(i_0_2796_067,axiom,
    ( X1 != X2
    | c_SetInterval_OgreaterThan(X3,X1) = c_SetInterval_OgreaterThan(X3,X2) ) ).

cnf(i_0_2797_068,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X1,X3) = c_SetInterval_OatLeast(X2,X3) ) ).

cnf(i_0_2798_069,axiom,
    ( X1 != X2
    | c_SetInterval_OatLeast(X3,X1) = c_SetInterval_OatLeast(X3,X2) ) ).

cnf(i_0_2799_070,axiom,
    ( X1 != X2
    | c_Nat_Osize(X1,X3) = c_Nat_Osize(X2,X3) ) ).

cnf(i_0_2800_071,axiom,
    ( X1 != X2
    | c_Nat_Osize(X3,X1) = c_Nat_Osize(X3,X2) ) ).

cnf(i_0_2801_072,axiom,
    ( X1 != X2
    | c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).

cnf(i_0_2802_073,axiom,
    ( X1 != X2
    | c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).

cnf(i_0_2803_074,axiom,
    ( X1 != X2
    | c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).

cnf(i_0_2804_075,axiom,
    ( X1 != X2
    | c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).

cnf(i_0_2805_076,axiom,
    ( X1 != X2
    | c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).

cnf(i_0_2806_077,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X1,X3,X4) = c_Divides_Oop_Amod(X2,X3,X4) ) ).

cnf(i_0_2807_078,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X1,X4) = c_Divides_Oop_Amod(X3,X2,X4) ) ).

cnf(i_0_2808_079,axiom,
    ( X1 != X2
    | c_Divides_Oop_Amod(X3,X4,X1) = c_Divides_Oop_Amod(X3,X4,X2) ) ).

cnf(i_0_2809_080,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_2810_081,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X1,X3) = c_Datatype_Ooption_OSome(X2,X3) ) ).

cnf(i_0_2811_082,axiom,
    ( X1 != X2
    | c_Datatype_Ooption_OSome(X3,X1) = c_Datatype_Ooption_OSome(X3,X2) ) ).

cnf(i_0_2812_083,axiom,
    ( X1 != X2
    | c_IntDef_Oint(X1) = c_IntDef_Oint(X2) ) ).

cnf(i_0_2813_084,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_2814_085,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_2815_086,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_2816_087,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X1,X3)
    | c_Infinite__Set_Oatmost__one(X2,X3) ) ).

cnf(i_0_2817_088,axiom,
    ( X1 != X2
    | ~ c_Infinite__Set_Oatmost__one(X3,X1)
    | c_Infinite__Set_Oatmost__one(X3,X2) ) ).

cnf(i_0_2818_089,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oord(X1)
    | class_Orderings_Oord(X2) ) ).

cnf(i_0_2819_090,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite(X1)
    | class_Finite__Set_Ofinite(X2) ) ).

cnf(i_0_2820_091,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(X2,X3) ) ).

cnf(i_0_2821_092,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X3,X1)
    | c_List_Odistinct(X3,X2) ) ).

cnf(i_0_2822_093,axiom,
    ( X1 != X2
    | ~ class_Nat_Opower(X1)
    | class_Nat_Opower(X2) ) ).

cnf(i_0_2823_094,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_2824_095,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_2825_096,axiom,
    ( X1 != X2
    | ~ class_HOL_Oinverse(X1)
    | class_HOL_Oinverse(X2) ) ).

cnf(i_0_2826_097,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_2827_098,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X2) ) ).

cnf(i_0_2828_099,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X1,X3)
    | c_Wellfounded__Recursion_Owf(X2,X3) ) ).

cnf(i_0_2829_100,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Owf(X3,X1)
    | c_Wellfounded__Recursion_Owf(X3,X2) ) ).

cnf(i_0_2830_101,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__ring(X1)
    | class_Ring__and__Field_Opordered__comm__ring(X2) ) ).

cnf(i_0_2831_102,axiom,
    ( X1 != X2
    | ~ class_Power_Orecpower(X1)
    | class_Power_Orecpower(X2) ) ).

cnf(i_0_2832_103,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber__ring(X2) ) ).

cnf(i_0_2833_104,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_2834_105,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_2835_106,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_2836_107,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).

cnf(i_0_2837_108,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__comm__semiring(X2) ) ).

cnf(i_0_2838_109,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__comm__semiring(X1)
    | class_Ring__and__Field_Opordered__comm__semiring(X2) ) ).

cnf(i_0_2839_110,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__ring__1(X2) ) ).

cnf(i_0_2840_111,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X1,X3)
    | c_Wellfounded__Recursion_Oacyclic(X2,X3) ) ).

cnf(i_0_2841_112,axiom,
    ( X1 != X2
    | ~ c_Wellfounded__Recursion_Oacyclic(X3,X1)
    | c_Wellfounded__Recursion_Oacyclic(X3,X2) ) ).

cnf(i_0_2842_113,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ) ).

cnf(i_0_2843_114,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_2844_115,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_2845_116,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(X2) ) ).

cnf(i_0_2846_117,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X1)
    | class_Ring__and__Field_Ocomm__semiring__0__cancel(X2) ) ).

cnf(i_0_2847_118,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(X2) ) ).

cnf(i_0_2848_119,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X2) ) ).

cnf(i_0_2849_120,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__mult(X1)
    | class_OrderedGroup_Osemigroup__mult(X2) ) ).

cnf(i_0_2850_121,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X2) ) ).

cnf(i_0_2851_122,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Ring__and__Field_Olordered__ring(X2) ) ).

cnf(i_0_2852_123,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X1,X3,X4)
    | c_Divides_Oop_Advd(X2,X3,X4) ) ).

cnf(i_0_2853_124,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X1,X4)
    | c_Divides_Oop_Advd(X3,X2,X4) ) ).

cnf(i_0_2854_125,axiom,
    ( X1 != X2
    | ~ c_Divides_Oop_Advd(X3,X4,X1)
    | c_Divides_Oop_Advd(X3,X4,X2) ) ).

cnf(i_0_2855_126,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X2) ) ).

cnf(i_0_2856_127,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).

cnf(i_0_2857_128,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).

cnf(i_0_2858_129,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X2) ) ).

cnf(i_0_2859_130,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring__1(X2) ) ).

cnf(i_0_2860_131,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1__cancel(X1)
    | class_Ring__and__Field_Osemiring__1__cancel(X2) ) ).

cnf(i_0_2861_132,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X2) ) ).

cnf(i_0_2862_133,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_2863_134,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_2864_135,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0__cancel(X1)
    | class_Ring__and__Field_Osemiring__0__cancel(X2) ) ).

cnf(i_0_2865_136,axiom,
    ( X1 != X2
    | ~ c_less(X1,X3,X4)
    | c_less(X2,X3,X4) ) ).

cnf(i_0_2866_137,axiom,
    ( X1 != X2
    | ~ c_less(X3,X1,X4)
    | c_less(X3,X2,X4) ) ).

cnf(i_0_2867_138,axiom,
    ( X1 != X2
    | ~ c_less(X3,X4,X1)
    | c_less(X3,X4,X2) ) ).

cnf(i_0_2868_139,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X2) ) ).

cnf(i_0_2869_140,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring(X1)
    | class_Ring__and__Field_Osemiring(X2) ) ).

cnf(i_0_2870_141,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_2871_142,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_OrderedGroup_Olordered__ab__group__join(X2) ) ).

cnf(i_0_2872_143,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_OrderedGroup_Olordered__ab__group__meet(X2) ) ).

cnf(i_0_2873_144,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_OrderedGroup_Olordered__ab__group__abs(X2) ) ).

cnf(i_0_2874_145,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group(X1)
    | class_OrderedGroup_Olordered__ab__group(X2) ) ).

cnf(i_0_2875_146,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_2876_147,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2877_148,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_2878_149,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_2879_150,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_2880_151,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_2881_152,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2882_153,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_2883_154,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_2884_155,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_2885_156,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_2886_157,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Osemigroup__add(X1)
    | class_OrderedGroup_Osemigroup__add(X2) ) ).

cnf(i_0_2887_158,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_2888_159,axiom,
    ( X1 != X2
    | ~ class_Numeral_Onumber(X1)
    | class_Numeral_Onumber(X2) ) ).

cnf(i_0_2889_160,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X1)
    | class_Ring__and__Field_Oaxclass__no__zero__divisors(X2) ) ).

cnf(i_0_2890_161,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__abs__if(X1)
    | class_Ring__and__Field_Oaxclass__abs__if(X2) ) ).

cnf(i_0_2891_162,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(X2,X3) ) ).

cnf(i_0_2892_163,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X3,X1)
    | c_Relation_Otrans(X3,X2) ) ).

cnf(i_0_2893_164,axiom,
    ( X1 != X2
    | ~ class_HOL_Ozero(X1)
    | class_HOL_Ozero(X2) ) ).

cnf(i_0_2894_165,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
    | class_Ring__and__Field_Oaxclass__0__neq__1(X2) ) ).

cnf(i_0_2895_166,axiom,
    ( X1 != X2
    | ~ class_LOrder_Olorder(X1)
    | class_LOrder_Olorder(X2) ) ).

cnf(i_0_2896_167,axiom,
    ( X1 != X2
    | ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Wellfounded__Recursion_Owellorder(X2) ) ).

cnf(i_0_2897_168,axiom,
    ( X1 != X2
    | ~ class_LOrder_Ojoin__semilorder(X1)
    | class_LOrder_Ojoin__semilorder(X2) ) ).

cnf(i_0_2898_169,axiom,
    ( X1 != X2
    | ~ class_LOrder_Omeet__semilorder(X1)
    | class_LOrder_Omeet__semilorder(X2) ) ).

cnf(i_0_2899_170,axiom,
    ( X1 != X2
    | ~ class_HOL_Otimes(X1)
    | class_HOL_Otimes(X2) ) ).

cnf(i_0_2900_171,axiom,
    ( X1 != X2
    | ~ class_HOL_Oplus(X1)
    | class_HOL_Oplus(X2) ) ).

cnf(i_0_2901_172,axiom,
    ( X1 != X2
    | ~ class_HOL_Oone(X1)
    | class_HOL_Oone(X2) ) ).

cnf(i_0_2902_173,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_2903_174,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_2904_175,axiom,
    ( X1 != X2
    | ~ class_Parity_Oeven__odd(X1)
    | class_Parity_Oeven__odd(X2) ) ).

cnf(i_0_2905_176,axiom,
    ( X1 != X2
    | ~ class_Divides_Odiv(X1)
    | class_Divides_Odiv(X2) ) ).

cnf(i_0_2906_177,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_2907,plain,
    X1 = X1,
    inference(equality_inference,[],[1432]) ).

cnf(i_0_2908,plain,
    X1 = X1,
    inference(equality_inference,[],[1433]) ).

cnf(i_0_2909,plain,
    X1 = X1,
    inference(equality_inference,[],[1434]) ).

cnf(i_0_2910,plain,
    X1 = X1,
    inference(equality_inference,[],[1435]) ).

cnf(i_0_2911,plain,
    X1 = X1,
    inference(equality_inference,[],[1447]) ).

cnf(i_0_2912,plain,
    X1 = X1,
    inference(equality_inference,[],[1448]) ).

cnf(i_0_2913,plain,
    c_lessequals(c_emptyset,c_insert(X1,c_emptyset,X2),tc_set(X2)),
    inference(equality_inference,[],[1477]) ).

cnf(i_0_2914,plain,
    c_lessequals(c_emptyset,c_insert(X1,c_emptyset,X2),tc_set(X2)),
    inference(equality_inference,[],[1478]) ).

cnf(i_0_2915,plain,
    X1 = X1,
    inference(equality_inference,[],[1544]) ).

cnf(i_0_2916,plain,
    X1 = X1,
    inference(equality_inference,[],[1545]) ).

cnf(i_0_2917,plain,
    X1 = X1,
    inference(equality_inference,[],[1546]) ).

cnf(i_0_2918,plain,
    X1 = X1,
    inference(equality_inference,[],[1547]) ).

cnf(i_0_2919,plain,
    X1 = X1,
    inference(equality_inference,[],[1548]) ).

cnf(i_0_2920,plain,
    X1 = X1,
    inference(equality_inference,[],[1549]) ).

cnf(i_0_2921,plain,
    X1 = X1,
    inference(equality_inference,[],[1550]) ).

cnf(i_0_2922,plain,
    X1 = X1,
    inference(equality_inference,[],[1551]) ).

cnf(i_0_2923,plain,
    X1 = X1,
    inference(equality_inference,[],[1552]) ).

cnf(i_0_2924,plain,
    X1 = X1,
    inference(equality_inference,[],[1553]) ).

cnf(i_0_2925,plain,
    X1 = X1,
    inference(equality_inference,[],[1554]) ).

cnf(i_0_2926,plain,
    X1 = X1,
    inference(equality_inference,[],[1563]) ).

cnf(i_0_2927,plain,
    X1 = X1,
    inference(equality_inference,[],[1564]) ).

cnf(i_0_2928,plain,
    X1 = X1,
    inference(equality_inference,[],[1634]) ).

cnf(i_0_2929,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1647]) ).

cnf(i_0_2930,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1648]) ).

cnf(i_0_2931,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1649]) ).

cnf(i_0_2932,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1650]) ).

cnf(i_0_2933,plain,
    X1 = X1,
    inference(equality_inference,[],[1667]) ).

cnf(i_0_2934,plain,
    X1 = X1,
    inference(equality_inference,[],[1668]) ).

cnf(i_0_2935,plain,
    X1 = X1,
    inference(equality_inference,[],[1669]) ).

cnf(i_0_2936,plain,
    X1 = X1,
    inference(equality_inference,[],[1670]) ).

cnf(i_0_2937,plain,
    X1 = X1,
    inference(equality_inference,[],[1688]) ).

cnf(i_0_2938,plain,
    X1 = X1,
    inference(equality_inference,[],[1689]) ).

cnf(i_0_2939,plain,
    c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_1468]) ).

cnf(i_0_2940,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_2941,plain,
    c_lessequals(X1,c_UNIV,tc_set(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_1652,i_0_1468,i_0_1487]) ).

cnf(i_0_2942,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_2943,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_2944,plain,
    c_in(c_Main_OsubsetI__1(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(t_a)),c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),tc_set(t_a)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1652,i_0_1468,i_0_1487,i_0_1520]) ).

cnf(i_0_2945,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
    inference(rename_variables,[],[i_0_1520]) ).

cnf(i_0_2946,plain,
    c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1652,i_0_1468,i_0_1487,i_0_1520,i_0_1536]) ).

cnf(i_0_2947,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_2948,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1652,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585]) ).

cnf(i_0_2949,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1585]) ).

cnf(i_0_2950,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_emptyset,X3,X4,X5),tc_prod(X5,X4)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_1652,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365]) ).

cnf(i_0_2951,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_2952,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_1365]) ).

cnf(i_0_2953,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_emptyset,X2,X3,X4,X5),tc_prod(X5,X4)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_1652,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366]) ).

cnf(i_0_2954,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_2955,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_1366]) ).

cnf(i_0_2956,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_1652,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380]) ).

cnf(i_0_2957,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_2958,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_1380]) ).

cnf(i_0_2959,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_1652,i_0_1616,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381]) ).

cnf(i_0_2960,plain,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    inference(rename_variables,[],[i_0_1616]) ).

cnf(i_0_2961,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_1381]) ).

cnf(i_0_2962,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_1652,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382]) ).

cnf(i_0_2963,plain,
    c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
    inference(rename_variables,[],[i_0_1616]) ).

cnf(i_0_2964,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_1382]) ).

cnf(i_0_2965,plain,
    ~ c_in(c_Datatype__Universe_ONumb(X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_1652,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383]) ).

cnf(i_0_2966,plain,
    c_Datatype__Universe_ONumb(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    inference(rename_variables,[],[i_0_1452]) ).

cnf(i_0_2967,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_1383]) ).

cnf(i_0_2968,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_1652,i_0_2942,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385]) ).

cnf(i_0_2969,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_2970,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_1385]) ).

cnf(i_0_2971,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_1652,i_0_2942,i_0_2969,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386]) ).

cnf(i_0_2972,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_2973,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_1386]) ).

cnf(i_0_2974,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_emptyset,X2,X3),tc_prod(X3,X2)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_1652,i_0_2942,i_0_2969,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390]) ).

cnf(i_0_2975,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_2976,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_1390]) ).

cnf(i_0_2977,plain,
    ~ c_in(X1,c_Relation_ORange(c_emptyset,X2,X3),X3),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_1652,i_0_2942,i_0_2969,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403]) ).

cnf(i_0_2978,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_2979,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_1403]) ).

cnf(i_0_2980,plain,
    ~ c_in(X1,c_Relation_ODomain(c_emptyset,X2,X3),X2),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404]) ).

cnf(i_0_2981,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_2982,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_1404]) ).

cnf(i_0_2983,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412]) ).

cnf(i_0_2984,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_2985,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_1412]) ).

cnf(i_0_2986,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416]) ).

cnf(i_0_2987,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_2988,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_1416]) ).

cnf(i_0_2989,plain,
    c_in(X1,c_Relation_ODomain(c_UNIV,X2,X3),X2),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419]) ).

cnf(i_0_2990,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_2991,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_1419]) ).

cnf(i_0_2992,plain,
    c_in(X1,c_Relation_ORange(c_UNIV,X2,X3),X3),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420]) ).

cnf(i_0_2993,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_2994,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_1420]) ).

cnf(i_0_2995,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429]) ).

cnf(i_0_2996,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_2997,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_1429]) ).

cnf(i_0_2998,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_1452,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430]) ).

cnf(i_0_2999,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3000,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_1430]) ).

cnf(i_0_3001,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_1452,i_0_1620,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461]) ).

cnf(i_0_3002,plain,
    c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_3003,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_1461]) ).

cnf(i_0_3004,plain,
    c_in(X1,c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_1452,i_0_1620,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474]) ).

cnf(i_0_3005,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3006,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_1474]) ).

cnf(i_0_3007,plain,
    c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_1636,i_0_1452,i_0_1620,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480]) ).

cnf(i_0_3008,plain,
    c_lessequals(X1,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_1636]) ).

cnf(i_0_3009,plain,
    ( ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3))))
    | c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1480]) ).

cnf(i_0_3010,plain,
    c_in(c_inter(c_List_Oset(X1,X2),X3,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_1636,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499]) ).

cnf(i_0_3011,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_3012,plain,
    c_in(c_inter(X1,c_List_Oset(X2,X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_1636,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500]) ).

cnf(i_0_3013,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_3014,plain,
    c_in(c_insert(X1,c_List_Oset(X2,X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_1636,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_3015,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_1501]) ).

cnf(i_0_3016,plain,
    c_in(X1,c_Inter(c_emptyset,X2),X2),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_1636,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504]) ).

cnf(i_0_3017,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_3018,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_1504]) ).

cnf(i_0_3019,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_UNIV,X2),tc_prod(X2,X2)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517]) ).

cnf(i_0_3020,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3021,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_3022,plain,
    c_in(X1,c_Pow(X1,X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537]) ).

cnf(i_0_3023,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_3024,plain,
    ~ c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_ONone,X2),X2),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1684,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592]) ).

cnf(i_0_3025,plain,
    ( X1 = c_Datatype_Ooption_OSome(X2,X3)
    | ~ c_in(X2,c_Datatype_Oo2s(X1,X3),X3) ),
    inference(rename_variables,[],[i_0_1592]) ).

cnf(i_0_3026,plain,
    c_times(c_0,X1,tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1684,i_0_1581,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624]) ).

cnf(i_0_3027,plain,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_3028,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1624]) ).

cnf(i_0_3029,plain,
    c_times(c_0,X1,tc_nat) = c_0,
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_1616,i_0_2960,i_0_1684,i_0_1581,i_0_1582,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625]) ).

cnf(i_0_3030,plain,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1582]) ).

cnf(i_0_3031,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1625]) ).

cnf(i_0_3032,plain,
    c_lessequals(X1,X1,tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1581,i_0_1582,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635]) ).

cnf(i_0_3033,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_3034,plain,
    c_emptyset = c_union(c_emptyset,c_emptyset,X1),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_1582,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731]) ).

cnf(i_0_3035,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_1582,i_0_1421,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408]) ).

cnf(i_0_3036,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X1,tc_nat),
    inference(rename_variables,[],[i_0_1421]) ).

cnf(i_0_3037,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_1408]) ).

cnf(i_0_3038,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409]) ).

cnf(i_0_3039,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X1,tc_nat),
    inference(rename_variables,[],[i_0_1421]) ).

cnf(i_0_3040,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_1409]) ).

cnf(i_0_3041,plain,
    c_Divides_Oop_Advd(X1,c_times(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555]) ).

cnf(i_0_3042,plain,
    c_Divides_Oop_Advd(X1,c_times(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_3043,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_1555]) ).

cnf(i_0_3044,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414]) ).

cnf(i_0_3045,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3046,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_1414]) ).

cnf(i_0_3047,plain,
    c_in(v_m,c_Union(c_UNIV,tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498]) ).

cnf(i_0_3048,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3049,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_1498]) ).

cnf(i_0_3050,plain,
    c_in(v_m,c_Zorn_Osucc(X1,c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_1636,i_0_3008,i_0_1452,i_0_1620,i_0_3002,i_0_1539,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514]) ).

cnf(i_0_3051,plain,
    c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
    inference(rename_variables,[],[i_0_1539]) ).

cnf(i_0_3052,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_1514]) ).

cnf(i_0_3053,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_List_Olex(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_1636,i_0_3008,i_0_1452,i_0_1643,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813]) ).

cnf(i_0_3054,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3055,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_1636,i_0_3008,i_0_1452,i_0_1643,i_0_3054,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814]) ).

cnf(i_0_3056,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3057,plain,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X3,X2),c_append(c_List_Olist_ONil,tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),X4)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_1636,i_0_3008,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815]) ).

cnf(i_0_3058,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3059,plain,
    ~ c_lessequals(c_append(c_List_Olist_ONil,c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),X1),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_1636,i_0_3008,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878]) ).

cnf(i_0_3060,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3061,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_List_Olist_ONil,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),X1),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_1636,i_0_3008,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879]) ).

cnf(i_0_3062,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3063,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_append(c_List_Olist_ONil,tc_set(tc_set(t_a)),X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_1636,i_0_3008,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880]) ).

cnf(i_0_3064,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3065,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_1636,i_0_3008,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376]) ).

cnf(i_0_3066,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3067,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3068,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_1376]) ).

cnf(i_0_3069,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_1636,i_0_3008,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396]) ).

cnf(i_0_3070,plain,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn0(X4,X2,X3),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_3071,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_1396]) ).

cnf(i_0_3072,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_1636,i_0_3008,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398]) ).

cnf(i_0_3073,plain,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    inference(rename_variables,[],[i_0_1558]) ).

cnf(i_0_3074,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_3075,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_1398]) ).

cnf(i_0_3076,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_1636,i_0_3008,i_0_1557,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399]) ).

cnf(i_0_3077,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    inference(rename_variables,[],[i_0_1557]) ).

cnf(i_0_3078,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_3079,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_1399]) ).

cnf(i_0_3080,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417]) ).

cnf(i_0_3081,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3082,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3083,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_1417]) ).

cnf(i_0_3084,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_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471]) ).

cnf(i_0_3085,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_1471]) ).

cnf(i_0_3086,plain,
    c_in(c_Union(c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494]) ).

cnf(i_0_3087,plain,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_1640]) ).

cnf(i_0_3088,plain,
    ~ c_in(X1,c_emptyset,X2),
    inference(rename_variables,[],[i_0_1622]) ).

cnf(i_0_3089,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_1494]) ).

cnf(i_0_3090,plain,
    c_Zorn_Osucc(X1,c_UNIV,X2) = c_UNIV,
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529]) ).

cnf(i_0_3091,plain,
    c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
    inference(rename_variables,[],[i_0_1539]) ).

cnf(i_0_3092,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_3093,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_append(c_List_Olist_ONil,c_Sum__Type_OInl(X4,X3,X2),X5),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732]) ).

cnf(i_0_3094,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3095,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818]) ).

cnf(i_0_3096,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3097,plain,
    class_Finite__Set_Ofinite(c_append(c_List_Olist_ONil,tc_bool,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819]) ).

cnf(i_0_3098,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3099,plain,
    class_Nat_Opower(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2621,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822]) ).

cnf(i_0_3100,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3101,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2621,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827]) ).

cnf(i_0_3102,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3103,plain,
    class_Power_Orecpower(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831]) ).

cnf(i_0_3104,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3105,plain,
    class_Numeral_Onumber__ring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832]) ).

cnf(i_0_3106,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3107,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833]) ).

cnf(i_0_3108,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3109,plain,
    class_Ring__and__Field_Oidom(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834]) ).

cnf(i_0_3110,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3111,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835]) ).

cnf(i_0_3112,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3113,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836]) ).

cnf(i_0_3114,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3115,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837]) ).

cnf(i_0_3116,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3117,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838]) ).

cnf(i_0_3118,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3119,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839]) ).

cnf(i_0_3120,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3121,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842]) ).

cnf(i_0_3122,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3123,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843]) ).

cnf(i_0_3124,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3125,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844]) ).

cnf(i_0_3126,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3127,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845]) ).

cnf(i_0_3128,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3129,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846]) ).

cnf(i_0_3130,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3131,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847]) ).

cnf(i_0_3132,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3133,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848]) ).

cnf(i_0_3134,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3135,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849]) ).

cnf(i_0_3136,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3137,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850]) ).

cnf(i_0_3138,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3139,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851]) ).

cnf(i_0_3140,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3141,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855]) ).

cnf(i_0_3142,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3143,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856]) ).

cnf(i_0_3144,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3145,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857]) ).

cnf(i_0_3146,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3147,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858]) ).

cnf(i_0_3148,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3149,plain,
    class_Ring__and__Field_Oring__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859]) ).

cnf(i_0_3150,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3151,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860]) ).

cnf(i_0_3152,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3153,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861]) ).

cnf(i_0_3154,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3155,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862]) ).

cnf(i_0_3156,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3157,plain,
    class_Ring__and__Field_Oring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863]) ).

cnf(i_0_3158,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3159,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864]) ).

cnf(i_0_3160,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3161,plain,
    ~ c_less(c_append(c_List_Olist_ONil,X1,X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865]) ).

cnf(i_0_3162,plain,
    ~ c_less(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1623]) ).

cnf(i_0_3163,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,X1,X2),tc_nat),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866]) ).

cnf(i_0_3164,plain,
    ~ c_less(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1623]) ).

cnf(i_0_3165,plain,
    ~ c_less(X1,X1,c_append(c_List_Olist_ONil,tc_nat,X2)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867]) ).

cnf(i_0_3166,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3167,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868]) ).

cnf(i_0_3168,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3169,plain,
    class_Ring__and__Field_Osemiring(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869]) ).

cnf(i_0_3170,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3171,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870]) ).

cnf(i_0_3172,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3173,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871]) ).

cnf(i_0_3174,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3175,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872]) ).

cnf(i_0_3176,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3177,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873]) ).

cnf(i_0_3178,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3179,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874]) ).

cnf(i_0_3180,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3181,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875]) ).

cnf(i_0_3182,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3183,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876]) ).

cnf(i_0_3184,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3185,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877]) ).

cnf(i_0_3186,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3187,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881]) ).

cnf(i_0_3188,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3189,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882]) ).

cnf(i_0_3190,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3191,plain,
    class_OrderedGroup_Oab__group__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883]) ).

cnf(i_0_3192,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3193,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2703,i_0_2705,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884]) ).

cnf(i_0_3194,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3195,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885]) ).

cnf(i_0_3196,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3197,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886]) ).

cnf(i_0_3198,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3199,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887]) ).

cnf(i_0_3200,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3201,plain,
    class_Numeral_Onumber(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888]) ).

cnf(i_0_3202,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3203,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889]) ).

cnf(i_0_3204,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3205,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890]) ).

cnf(i_0_3206,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3207,plain,
    class_HOL_Ozero(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893]) ).

cnf(i_0_3208,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3209,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894]) ).

cnf(i_0_3210,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3211,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895]) ).

cnf(i_0_3212,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3213,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_List_Olist_ONil,tc_nat,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896]) ).

cnf(i_0_3214,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3215,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897]) ).

cnf(i_0_3216,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3217,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898]) ).

cnf(i_0_3218,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3219,plain,
    class_HOL_Otimes(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899]) ).

cnf(i_0_3220,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3221,plain,
    class_HOL_Oplus(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900]) ).

cnf(i_0_3222,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3223,plain,
    class_HOL_Oone(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_3224,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3225,plain,
    class_HOL_Ominus(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_3226,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3227,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903]) ).

cnf(i_0_3228,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3229,plain,
    class_Parity_Oeven__odd(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904]) ).

cnf(i_0_3230,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3231,plain,
    class_Divides_Odiv(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905]) ).

cnf(i_0_3232,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3233,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906]) ).

cnf(i_0_3234,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3235,plain,
    ~ c_Infinite__Set_Oatmost__one(c_UNIV,X1),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527]) ).

cnf(i_0_3236,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3237,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3238,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_3239,plain,
    c_in(c_Main_OImageE__1(c_Zorn_OTFin(v_S,t_a),X1,c_UNIV,tc_set(tc_set(t_a)),X2),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389]) ).

cnf(i_0_3240,plain,
    ( ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4) ),
    inference(rename_variables,[],[i_0_1389]) ).

cnf(i_0_3241,plain,
    c_in(v_m,c_Main_OUnionE__1(v_m,c_UNIV,tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493]) ).

cnf(i_0_3242,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_3243,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550]) ).

cnf(i_0_3244,plain,
    ( c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3)
    | X1 = X4 ),
    inference(rename_variables,[],[i_0_1550]) ).

cnf(i_0_3245,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,tc_nat,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550,i_0_2540]) ).

cnf(i_0_3246,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2540]) ).

cnf(i_0_3247,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,tc_nat,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550,i_0_2540,i_0_2568]) ).

cnf(i_0_3248,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2568]) ).

cnf(i_0_3249,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,tc_nat,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577]) ).

cnf(i_0_3250,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2577]) ).

cnf(i_0_3251,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,tc_nat,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029]) ).

cnf(i_0_3252,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2029]) ).

cnf(i_0_3253,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,tc_nat,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043]) ).

cnf(i_0_3254,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2043]) ).

cnf(i_0_3255,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,tc_nat,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058]) ).

cnf(i_0_3256,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2058]) ).

cnf(i_0_3257,plain,
    ( ~ c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2))
    | c_Sum__Type_OInr(X1,X2,X3) = c_Sum__Type_OInr(c_Main_OPlusE__2(X5,c_Sum__Type_OInr(X1,X2,X3),X2,X3),X2,X3) ),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058,i_0_1397]) ).

cnf(i_0_3258,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    inference(rename_variables,[],[i_0_1557]) ).

cnf(i_0_3259,plain,
    ( X1 = c_Sum__Type_OInl(c_Main_OPlusE__1(X2,X1,X3,X4),X3,X4)
    | X1 = c_Sum__Type_OInr(c_Main_OPlusE__2(X5,X1,X4,X3),X4,X3)
    | ~ c_in(X1,c_Sum__Type_OPlus(X2,X5,X3,X4),tc_sum(X3,X4)) ),
    inference(rename_variables,[],[i_0_1397]) ).

cnf(i_0_3260,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_List_Olist_ONil,c_UNIV,X1),X2),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_1622,i_0_2951,i_0_2954,i_0_2957,i_0_2975,i_0_2978,i_0_2981,i_0_3017,i_0_3074,i_0_3078,i_0_1652,i_0_2942,i_0_2969,i_0_2972,i_0_2984,i_0_2987,i_0_2990,i_0_2993,i_0_2996,i_0_2999,i_0_3005,i_0_3020,i_0_3045,i_0_3048,i_0_3067,i_0_3082,i_0_3081,i_0_1636,i_0_3008,i_0_1557,i_0_3077,i_0_1558,i_0_1561,i_0_1452,i_0_1643,i_0_3054,i_0_3056,i_0_3058,i_0_3060,i_0_3062,i_0_3064,i_0_3094,i_0_3166,i_0_1645,i_0_3096,i_0_3098,i_0_3100,i_0_3102,i_0_3104,i_0_3106,i_0_3108,i_0_3110,i_0_3112,i_0_3114,i_0_3116,i_0_3118,i_0_3120,i_0_3122,i_0_3124,i_0_3126,i_0_3128,i_0_3130,i_0_3132,i_0_3134,i_0_3136,i_0_3138,i_0_3140,i_0_3142,i_0_3144,i_0_3146,i_0_3148,i_0_3150,i_0_3152,i_0_3154,i_0_3156,i_0_3158,i_0_3160,i_0_3168,i_0_3170,i_0_3172,i_0_3174,i_0_3176,i_0_3178,i_0_3180,i_0_3182,i_0_3184,i_0_3186,i_0_3188,i_0_3190,i_0_3192,i_0_3194,i_0_3196,i_0_3198,i_0_3200,i_0_3202,i_0_3204,i_0_3206,i_0_3208,i_0_3210,i_0_3212,i_0_3214,i_0_3216,i_0_3218,i_0_3220,i_0_3222,i_0_3224,i_0_3226,i_0_3228,i_0_3230,i_0_3232,i_0_1620,i_0_3002,i_0_1539,i_0_3051,i_0_1425,i_0_2719,i_0_2721,i_0_2723,i_0_1616,i_0_2960,i_0_1640,i_0_1684,i_0_1660,i_0_1623,i_0_3162,i_0_3164,i_0_1581,i_0_3027,i_0_1582,i_0_2610,i_0_2611,i_0_2613,i_0_2615,i_0_2617,i_0_2619,i_0_2621,i_0_2623,i_0_2625,i_0_2626,i_0_2628,i_0_2630,i_0_2631,i_0_2632,i_0_2634,i_0_2635,i_0_2636,i_0_2637,i_0_2638,i_0_2639,i_0_2640,i_0_2641,i_0_2642,i_0_2643,i_0_2644,i_0_2646,i_0_2648,i_0_2650,i_0_2652,i_0_2654,i_0_2656,i_0_2658,i_0_2660,i_0_2662,i_0_2664,i_0_2666,i_0_2668,i_0_2670,i_0_2672,i_0_2673,i_0_2675,i_0_2677,i_0_2678,i_0_2680,i_0_2682,i_0_2684,i_0_2686,i_0_2688,i_0_2690,i_0_2691,i_0_2693,i_0_2695,i_0_2696,i_0_2698,i_0_2699,i_0_2701,i_0_2703,i_0_2705,i_0_2707,i_0_2709,i_0_2711,i_0_2713,i_0_2715,i_0_2717,i_0_1421,i_0_3036,i_0_1468,i_0_1487,i_0_1520,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1592,i_0_1624,i_0_1625,i_0_1635,i_0_2731,i_0_1408,i_0_1409,i_0_1555,i_0_1414,i_0_1498,i_0_1514,i_0_2813,i_0_2814,i_0_2815,i_0_2878,i_0_2879,i_0_2880,i_0_1376,i_0_1396,i_0_1398,i_0_1399,i_0_1417,i_0_1471,i_0_1494,i_0_1529,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_1527,i_0_1389,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058,i_0_1397,i_0_2816]) ).

cnf(i_0_3261,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3262,plain,
    ( c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,X5,X3,X2),tc_sum(X3,X2))
    | ~ c_in(X1,X5,X2) ),
    inference(rename_variables,[],[i_0_1436]) ).

cnf(i_0_3263,plain,
    c_in(c_List_Oset(X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_3265,plain,
    c_in(c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,v_m,t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_2939,i_0_1468]) ).

cnf(i_0_3266,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_3267,plain,
    c_lessequals(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_3044,i_0_2939,i_0_1468,i_0_1487]) ).

cnf(i_0_3268,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3269,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_3270,plain,
    c_lessequals(X1,c_Union(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(X2)),X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_2939,i_0_1468,i_0_1487,i_0_1536]) ).

cnf(i_0_3271,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3272,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_3273,plain,
    ~ c_less(c_append(c_List_Olist_ONil,c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),X1),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3059,i_0_2939,i_0_1468,i_0_1487,i_0_1536,i_0_1585]) ).

cnf(i_0_3274,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1585]) ).

cnf(i_0_3275,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),tc_prod(X6,X5)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3055,i_0_3059,i_0_2939,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365]) ).

cnf(i_0_3276,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3277,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_1365]) ).

cnf(i_0_3278,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),tc_prod(X6,X5)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3055,i_0_3276,i_0_3059,i_0_2939,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366]) ).

cnf(i_0_3279,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3280,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_1366]) ).

cnf(i_0_3281,plain,
    ~ c_in(X1,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5),X5),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3055,i_0_3276,i_0_3279,i_0_3059,i_0_2939,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380]) ).

cnf(i_0_3282,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3283,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_1380]) ).

cnf(i_0_3284,plain,
    ~ c_in(c_Datatype__Universe_OLeaf(X1,X2,X3),c_Datatype__Universe_Ouprod(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3055,i_0_3276,i_0_3279,i_0_3059,i_0_2939,i_0_1453,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383]) ).

cnf(i_0_3285,plain,
    c_Datatype__Universe_OLeaf(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    inference(rename_variables,[],[i_0_1453]) ).

cnf(i_0_3286,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_1383]) ).

cnf(i_0_3287,plain,
    c_in(c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(X4,c_Relation_OId,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_3044,i_0_3268,i_0_3055,i_0_3276,i_0_3279,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385]) ).

cnf(i_0_3288,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_1446]) ).

cnf(i_0_3289,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_1385]) ).

cnf(i_0_3290,plain,
    c_in(c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odsum(c_Relation_OId,X4,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_3044,i_0_3268,i_0_3055,i_0_3276,i_0_3279,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386]) ).

cnf(i_0_3291,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_1446]) ).

cnf(i_0_3292,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_1386]) ).

cnf(i_0_3293,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),tc_prod(X4,X3)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390]) ).

cnf(i_0_3294,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3295,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_1390]) ).

cnf(i_0_3296,plain,
    ~ c_in(X1,c_Relation_ORange(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X4),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403]) ).

cnf(i_0_3297,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3298,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_1403]) ).

cnf(i_0_3299,plain,
    ~ c_in(X1,c_Relation_ODomain(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X3),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404]) ).

cnf(i_0_3300,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3301,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_1404]) ).

cnf(i_0_3302,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X4,X3)),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412]) ).

cnf(i_0_3303,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3304,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_1412]) ).

cnf(i_0_3305,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416]) ).

cnf(i_0_3306,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3307,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_1416]) ).

cnf(i_0_3308,plain,
    c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X3)),X2,X3),X2),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419]) ).

cnf(i_0_3309,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3310,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_1419]) ).

cnf(i_0_3311,plain,
    c_in(X1,c_Relation_ORange(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X3)),X2,X3),X3),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420]) ).

cnf(i_0_3312,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3313,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_1420]) ).

cnf(i_0_3314,plain,
    c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429]) ).

cnf(i_0_3315,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3316,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_1429]) ).

cnf(i_0_3317,plain,
    c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430]) ).

cnf(i_0_3318,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3319,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_1430]) ).

cnf(i_0_3320,plain,
    c_in(c_Relation_Oconverse(c_union(c_List_Oset(X1,tc_prod(X2,X3)),c_List_Oset(X1,tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_3084,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461]) ).

cnf(i_0_3321,plain,
    c_in(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_3322,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_1461]) ).

cnf(i_0_3323,plain,
    c_in(X1,c_List_Olists(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_3084,i_0_1453,i_0_1446,i_0_3288,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474]) ).

cnf(i_0_3324,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3325,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_1474]) ).

cnf(i_0_3326,plain,
    c_in(c_Union(c_emptyset,tc_set(X1)),c_Zorn_OTFin(X2,X1),tc_set(tc_set(X1))),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_3084,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480]) ).

cnf(i_0_3327,plain,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_1637]) ).

cnf(i_0_3328,plain,
    ( ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3))))
    | c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1480]) ).

cnf(i_0_3329,plain,
    c_in(c_inter(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),X3,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_3084,i_0_3321,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499]) ).

cnf(i_0_3330,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_3331,plain,
    c_in(c_inter(X1,c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_3084,i_0_3321,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500]) ).

cnf(i_0_3332,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_3333,plain,
    c_in(c_insert(X1,c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3059,i_0_2939,i_0_3084,i_0_3321,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_3334,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_1501]) ).

cnf(i_0_3335,plain,
    c_in(X1,c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_3084,i_0_3321,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504]) ).

cnf(i_0_3336,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3337,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_1504]) ).

cnf(i_0_3338,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X2)),X2),tc_prod(X2,X2)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_3084,i_0_3321,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517]) ).

cnf(i_0_3339,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3340,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_3341,plain,
    c_in(X1,c_Pow(c_UNIV,X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3084,i_0_3321,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537]) ).

cnf(i_0_3342,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_3343,plain,
    c_times(c_uminus(c_0,tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3084,i_0_3321,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624]) ).

cnf(i_0_3344,plain,
    c_Divides_Oop_Advd(X1,c_times(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_3041]) ).

cnf(i_0_3345,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1624]) ).

cnf(i_0_3346,plain,
    c_times(X1,c_0,tc_nat) = c_0,
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3084,i_0_3321,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_1584,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625]) ).

cnf(i_0_3347,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1584]) ).

cnf(i_0_3348,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1625]) ).

cnf(i_0_3349,plain,
    c_lessequals(X1,X1,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X2)),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_1584,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635]) ).

cnf(i_0_3350,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_3351,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat,tc_nat)),X2,tc_nat),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_1584,i_0_1422,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408]) ).

cnf(i_0_3352,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X2,tc_nat),
    inference(rename_variables,[],[i_0_1422]) ).

cnf(i_0_3353,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_1408]) ).

cnf(i_0_3354,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,c_GCD_Ogcd(c_Pair(X2,X3,tc_nat,tc_nat)),tc_nat,tc_nat)),X3,tc_nat),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409]) ).

cnf(i_0_3355,plain,
    c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),X2,tc_nat),
    inference(rename_variables,[],[i_0_1422]) ).

cnf(i_0_3356,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_1409]) ).

cnf(i_0_3357,plain,
    c_Divides_Oop_Advd(X1,c_times(c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555]) ).

cnf(i_0_3358,plain,
    c_Divides_Oop_Advd(X1,c_times(c_uminus(X1,tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_3041]) ).

cnf(i_0_3359,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_1555]) ).

cnf(i_0_3360,plain,
    c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3) = c_Datatype__Universe_OIn1(X1,X2,X3),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3069,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731]) ).

cnf(i_0_3361,plain,
    c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Relation_OImage(c_Datatype__Universe_Odsum(X4,c_UNIV,X2,X3),c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414]) ).

cnf(i_0_3362,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3363,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_1414]) ).

cnf(i_0_3364,plain,
    c_in(v_m,c_Union(c_Pow(c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498]) ).

cnf(i_0_3365,plain,
    c_in(X1,c_Pow(X1,X2),tc_set(X2)),
    inference(rename_variables,[],[i_0_3022]) ).

cnf(i_0_3366,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_1498]) ).

cnf(i_0_3367,plain,
    ~ c_in(c_Sum__Type_OInl(X1,X2,X3),c_Sum__Type_OPlus(c_append(c_List_Olist_ONil,c_emptyset,X4),X5,X2,X3),tc_sum(X2,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398]) ).

cnf(i_0_3368,plain,
    c_Sum__Type_OInl(X1,X2,X3) != c_Sum__Type_OInr(X4,X3,X2),
    inference(rename_variables,[],[i_0_1558]) ).

cnf(i_0_3369,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3370,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_1398]) ).

cnf(i_0_3371,plain,
    c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Pow(X2,tc_Datatype__Universe_Onode(X3,X4)),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))),
    inference(scs_inference,[],[i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417]) ).

cnf(i_0_3372,plain,
    c_in(X1,c_Pow(X1,X2),tc_set(X2)),
    inference(rename_variables,[],[i_0_3022]) ).

cnf(i_0_3373,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3374,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_1417]) ).

cnf(i_0_3375,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471]) ).

cnf(i_0_3376,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_1471]) ).

cnf(i_0_3377,plain,
    c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1) = c_UNIV,
    inference(scs_inference,[],[i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529]) ).

cnf(i_0_3378,plain,
    c_lessequals(X1,c_UNIV,tc_set(X2)),
    inference(rename_variables,[],[i_0_2941]) ).

cnf(i_0_3379,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_3380,plain,
    ~ c_in(c_Sum__Type_OInr(X1,X2,X3),c_Sum__Type_OPlus(X4,c_append(c_List_Olist_ONil,c_emptyset,X5),X3,X2),tc_sum(X3,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399]) ).

cnf(i_0_3381,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    inference(rename_variables,[],[i_0_1557]) ).

cnf(i_0_3382,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3383,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_1399]) ).

cnf(i_0_3384,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_append(c_List_Olex(X4,X2),c_List_Olist_ONil,X5),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1644,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814]) ).

cnf(i_0_3385,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3386,plain,
    ~ c_lessequals(c_append(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_List_Olist_ONil,X1),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878]) ).

cnf(i_0_3387,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3388,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879]) ).

cnf(i_0_3389,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3390,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_append(tc_set(tc_set(t_a)),c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880]) ).

cnf(i_0_3391,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3392,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_append(c_append(c_List_Olist_ONil,c_Sum__Type_OInl(X4,X3,X2),X5),c_List_Olist_ONil,X6),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3093,i_0_3084,i_0_3321,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732]) ).

cnf(i_0_3393,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3394,plain,
    class_Orderings_Oord(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818]) ).

cnf(i_0_3395,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3396,plain,
    class_Finite__Set_Ofinite(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_bool,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819]) ).

cnf(i_0_3397,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3398,plain,
    class_Nat_Opower(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822]) ).

cnf(i_0_3399,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3400,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827]) ).

cnf(i_0_3401,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3402,plain,
    class_Power_Orecpower(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831]) ).

cnf(i_0_3403,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3404,plain,
    class_Numeral_Onumber__ring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832]) ).

cnf(i_0_3405,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3406,plain,
    class_Ring__and__Field_Oordered__idom(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833]) ).

cnf(i_0_3407,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3408,plain,
    class_Ring__and__Field_Oidom(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834]) ).

cnf(i_0_3409,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3410,plain,
    class_Ring__and__Field_Oordered__semidom(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835]) ).

cnf(i_0_3411,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3412,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836]) ).

cnf(i_0_3413,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3414,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837]) ).

cnf(i_0_3415,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3416,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838]) ).

cnf(i_0_3417,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3418,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839]) ).

cnf(i_0_3419,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3420,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842]) ).

cnf(i_0_3421,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3422,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843]) ).

cnf(i_0_3423,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3424,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844]) ).

cnf(i_0_3425,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3426,plain,
    class_Ring__and__Field_Ocomm__ring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845]) ).

cnf(i_0_3427,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3428,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846]) ).

cnf(i_0_3429,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3430,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847]) ).

cnf(i_0_3431,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3432,plain,
    class_Ring__and__Field_Ocomm__semiring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848]) ).

cnf(i_0_3433,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3434,plain,
    class_OrderedGroup_Osemigroup__mult(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849]) ).

cnf(i_0_3435,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3436,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850]) ).

cnf(i_0_3437,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3438,plain,
    class_Ring__and__Field_Olordered__ring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851]) ).

cnf(i_0_3439,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3440,plain,
    class_Ring__and__Field_Opordered__ring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855]) ).

cnf(i_0_3441,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3442,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856]) ).

cnf(i_0_3443,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3444,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857]) ).

cnf(i_0_3445,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3446,plain,
    class_Ring__and__Field_Opordered__semiring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858]) ).

cnf(i_0_3447,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3448,plain,
    class_Ring__and__Field_Oring__1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859]) ).

cnf(i_0_3449,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3450,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860]) ).

cnf(i_0_3451,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3452,plain,
    class_Ring__and__Field_Osemiring__1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861]) ).

cnf(i_0_3453,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3454,plain,
    class_OrderedGroup_Omonoid__mult(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862]) ).

cnf(i_0_3455,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3456,plain,
    class_Ring__and__Field_Oring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863]) ).

cnf(i_0_3457,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3458,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864]) ).

cnf(i_0_3459,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3460,plain,
    ~ c_less(c_append(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_List_Olist_ONil,X1),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865]) ).

cnf(i_0_3461,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3462,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866]) ).

cnf(i_0_3463,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3464,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_append(tc_set(tc_set(t_a)),c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867]) ).

cnf(i_0_3465,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3466,plain,
    class_Ring__and__Field_Osemiring__0(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868]) ).

cnf(i_0_3467,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3468,plain,
    class_Ring__and__Field_Osemiring(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869]) ).

cnf(i_0_3469,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3470,plain,
    class_OrderedGroup_Oab__semigroup__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870]) ).

cnf(i_0_3471,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3472,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871]) ).

cnf(i_0_3473,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3474,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872]) ).

cnf(i_0_3475,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3476,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873]) ).

cnf(i_0_3477,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3478,plain,
    class_OrderedGroup_Olordered__ab__group(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874]) ).

cnf(i_0_3479,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3480,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875]) ).

cnf(i_0_3481,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3482,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876]) ).

cnf(i_0_3483,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3484,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877]) ).

cnf(i_0_3485,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3486,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881]) ).

cnf(i_0_3487,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3488,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882]) ).

cnf(i_0_3489,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3490,plain,
    class_OrderedGroup_Oab__group__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883]) ).

cnf(i_0_3491,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3492,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884]) ).

cnf(i_0_3493,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3494,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885]) ).

cnf(i_0_3495,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3496,plain,
    class_OrderedGroup_Osemigroup__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886]) ).

cnf(i_0_3497,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3498,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887]) ).

cnf(i_0_3499,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3500,plain,
    class_Numeral_Onumber(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888]) ).

cnf(i_0_3501,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3502,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889]) ).

cnf(i_0_3503,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3504,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890]) ).

cnf(i_0_3505,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3506,plain,
    class_HOL_Ozero(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893]) ).

cnf(i_0_3507,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3508,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894]) ).

cnf(i_0_3509,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3510,plain,
    class_LOrder_Olorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895]) ).

cnf(i_0_3511,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3512,plain,
    class_Wellfounded__Recursion_Owellorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896]) ).

cnf(i_0_3513,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3514,plain,
    class_LOrder_Ojoin__semilorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897]) ).

cnf(i_0_3515,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3516,plain,
    class_LOrder_Omeet__semilorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898]) ).

cnf(i_0_3517,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3518,plain,
    class_HOL_Otimes(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899]) ).

cnf(i_0_3519,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3520,plain,
    class_HOL_Oplus(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900]) ).

cnf(i_0_3521,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3522,plain,
    class_HOL_Oone(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_3523,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3524,plain,
    class_HOL_Ominus(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_3525,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3526,plain,
    class_Orderings_Olinorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903]) ).

cnf(i_0_3527,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3528,plain,
    class_Parity_Oeven__odd(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904]) ).

cnf(i_0_3529,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3530,plain,
    class_Divides_Odiv(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905]) ).

cnf(i_0_3531,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3532,plain,
    class_Orderings_Oorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906]) ).

cnf(i_0_3533,plain,
    X1 = c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),
    inference(rename_variables,[],[i_0_3243]) ).

cnf(i_0_3534,plain,
    ~ c_in(c_append(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_List_Olist_ONil,X4),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813]) ).

cnf(i_0_3535,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3536,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_List_Olex(X4,X2),c_append(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil,X5)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815]) ).

cnf(i_0_3537,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3538,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_UNIV,c_List_Olist_ONil,X1),X2),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1637,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816]) ).

cnf(i_0_3539,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3540,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1),X1),tc_List_Olist(X1)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527]) ).

cnf(i_0_3541,plain,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_1621]) ).

cnf(i_0_3542,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_3543,plain,
    c_in(c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Pow(X3,tc_Datatype__Universe_Onode(X1,X2)),c_Datatype__Universe_OScons(X4,X3,X1,X2),X1,X2),c_Pow(X3,tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387]) ).

cnf(i_0_3544,plain,
    ( ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | c_in(c_Main_OuprodE__2(X2,X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(rename_variables,[],[i_0_1387]) ).

cnf(i_0_3545,plain,
    c_in(v_m,c_Main_OUnionE__1(v_m,c_Pow(c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493]) ).

cnf(i_0_3546,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_3547,plain,
    c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3) = X1,
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550]) ).

cnf(i_0_3548,plain,
    ( c_Datatype__Universe_OIn1(X1,X2,X3) != c_Datatype__Universe_OIn1(X4,X2,X3)
    | X1 = X4 ),
    inference(rename_variables,[],[i_0_1550]) ).

cnf(i_0_3549,plain,
    class_Orderings_Oord(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540]) ).

cnf(i_0_3550,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2540]) ).

cnf(i_0_3551,plain,
    class_Orderings_Olinorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568]) ).

cnf(i_0_3552,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2568]) ).

cnf(i_0_3553,plain,
    class_Orderings_Oorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577]) ).

cnf(i_0_3554,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2577]) ).

cnf(i_0_3555,plain,
    class_LOrder_Olorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029]) ).

cnf(i_0_3556,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2029]) ).

cnf(i_0_3557,plain,
    class_LOrder_Ojoin__semilorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043]) ).

cnf(i_0_3558,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2043]) ).

cnf(i_0_3559,plain,
    class_LOrder_Omeet__semilorder(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058]) ).

cnf(i_0_3560,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2058]) ).

cnf(i_0_3561,plain,
    ( ~ c_in(c_Main_Ofinite__Union__1(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Union(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058,i_0_1479]) ).

cnf(i_0_3562,plain,
    c_in(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_3563,plain,
    ( ~ 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))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1479]) ).

cnf(i_0_3564,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1),X1),c_append(tc_List_Olist(X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_3539,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058,i_0_1479,i_0_2817]) ).

cnf(i_0_3565,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3566,plain,
    c_lessequals(c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Pow(X3,tc_Datatype__Universe_Onode(X1,X2)),c_Datatype__Universe_OScons(X4,X3,X1,X2),X1,X2),X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_3539,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058,i_0_1479,i_0_2817,i_0_1528]) ).

cnf(i_0_3567,plain,
    ( ~ c_in(X1,c_Pow(X2,X3),tc_set(X3))
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1528]) ).

cnf(i_0_3568,plain,
    ( c_in(c_Main_Ofinite__Union__1(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),X2),c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),tc_set(X2))
    | c_in(c_Union(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3562,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_3539,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058,i_0_1479,i_0_2817,i_0_1528,i_0_1494]) ).

cnf(i_0_3569,plain,
    c_in(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_3570,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_1494]) ).

cnf(i_0_3571,plain,
    ( c_in(X1,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(t_a))
    | ~ c_in(X1,v_m,tc_set(t_a)) ),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_2946,i_0_3235,i_0_3022,i_0_3365,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3562,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_3539,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058,i_0_1479,i_0_2817,i_0_1528,i_0_1494,i_0_1514]) ).

cnf(i_0_3572,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_1514]) ).

cnf(i_0_3573,plain,
    ( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)
    | ~ c_in(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3044,i_0_3268,i_0_3271,i_0_3303,i_0_3306,i_0_3309,i_0_3312,i_0_3315,i_0_3318,i_0_3324,i_0_3339,i_0_3362,i_0_3053,i_0_3055,i_0_3276,i_0_3279,i_0_3282,i_0_3294,i_0_3297,i_0_3300,i_0_3336,i_0_3369,i_0_3059,i_0_2948,i_0_2939,i_0_2941,i_0_2946,i_0_3235,i_0_3022,i_0_3365,i_0_3007,i_0_3069,i_0_2968,i_0_3243,i_0_3395,i_0_3397,i_0_3399,i_0_3401,i_0_3403,i_0_3405,i_0_3407,i_0_3409,i_0_3411,i_0_3413,i_0_3415,i_0_3417,i_0_3419,i_0_3421,i_0_3423,i_0_3425,i_0_3427,i_0_3429,i_0_3431,i_0_3433,i_0_3435,i_0_3437,i_0_3439,i_0_3441,i_0_3443,i_0_3445,i_0_3447,i_0_3449,i_0_3451,i_0_3453,i_0_3455,i_0_3457,i_0_3459,i_0_3467,i_0_3469,i_0_3471,i_0_3473,i_0_3475,i_0_3477,i_0_3479,i_0_3481,i_0_3483,i_0_3485,i_0_3487,i_0_3489,i_0_3491,i_0_3493,i_0_3495,i_0_3497,i_0_3499,i_0_3501,i_0_3503,i_0_3505,i_0_3507,i_0_3509,i_0_3511,i_0_3513,i_0_3515,i_0_3517,i_0_3519,i_0_3521,i_0_3523,i_0_3525,i_0_3527,i_0_3529,i_0_3531,i_0_3093,i_0_3084,i_0_3321,i_0_3562,i_0_3095,i_0_3097,i_0_3099,i_0_3101,i_0_3103,i_0_3105,i_0_3107,i_0_3109,i_0_3111,i_0_3113,i_0_3115,i_0_3117,i_0_3119,i_0_3121,i_0_3123,i_0_3125,i_0_3127,i_0_3129,i_0_3131,i_0_3133,i_0_3135,i_0_3137,i_0_3139,i_0_3141,i_0_3143,i_0_3145,i_0_3147,i_0_3149,i_0_3151,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3167,i_0_3169,i_0_3171,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3181,i_0_3183,i_0_3185,i_0_3187,i_0_3189,i_0_3191,i_0_3193,i_0_3195,i_0_3197,i_0_3199,i_0_3201,i_0_3203,i_0_3205,i_0_3207,i_0_3209,i_0_3211,i_0_3213,i_0_3215,i_0_3217,i_0_3219,i_0_3221,i_0_3223,i_0_3225,i_0_3227,i_0_3229,i_0_3231,i_0_3233,i_0_1453,i_0_1644,i_0_3385,i_0_3387,i_0_3389,i_0_3391,i_0_3393,i_0_3461,i_0_3463,i_0_3465,i_0_3535,i_0_3537,i_0_3539,i_0_1446,i_0_3288,i_0_1621,i_0_1637,i_0_1615,i_0_1557,i_0_1558,i_0_3041,i_0_3344,i_0_1584,i_0_1422,i_0_3352,i_0_1468,i_0_1487,i_0_1536,i_0_1585,i_0_1365,i_0_1366,i_0_1380,i_0_1383,i_0_1385,i_0_1386,i_0_1390,i_0_1403,i_0_1404,i_0_1412,i_0_1416,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1461,i_0_1474,i_0_1480,i_0_1499,i_0_1500,i_0_1501,i_0_1504,i_0_1517,i_0_1537,i_0_1624,i_0_1625,i_0_1635,i_0_1408,i_0_1409,i_0_1555,i_0_2731,i_0_1414,i_0_1498,i_0_1398,i_0_1417,i_0_1471,i_0_1529,i_0_1399,i_0_2814,i_0_2878,i_0_2879,i_0_2880,i_0_2732,i_0_2818,i_0_2819,i_0_2822,i_0_2827,i_0_2831,i_0_2832,i_0_2833,i_0_2834,i_0_2835,i_0_2836,i_0_2837,i_0_2838,i_0_2839,i_0_2842,i_0_2843,i_0_2844,i_0_2845,i_0_2846,i_0_2847,i_0_2848,i_0_2849,i_0_2850,i_0_2851,i_0_2855,i_0_2856,i_0_2857,i_0_2858,i_0_2859,i_0_2860,i_0_2861,i_0_2862,i_0_2863,i_0_2864,i_0_2865,i_0_2866,i_0_2867,i_0_2868,i_0_2869,i_0_2870,i_0_2871,i_0_2872,i_0_2873,i_0_2874,i_0_2875,i_0_2876,i_0_2877,i_0_2881,i_0_2882,i_0_2883,i_0_2884,i_0_2885,i_0_2886,i_0_2887,i_0_2888,i_0_2889,i_0_2890,i_0_2893,i_0_2894,i_0_2895,i_0_2896,i_0_2897,i_0_2898,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2903,i_0_2904,i_0_2905,i_0_2906,i_0_2813,i_0_2815,i_0_2816,i_0_1527,i_0_1387,i_0_1493,i_0_1550,i_0_2540,i_0_2568,i_0_2577,i_0_2029,i_0_2043,i_0_2058,i_0_1479,i_0_2817,i_0_1528,i_0_1494,i_0_1514,i_0_1455]) ).

cnf(i_0_3574,plain,
    c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(rename_variables,[],[i_0_3007]) ).

cnf(i_0_3575,plain,
    ( c_lessequals(X1,X2,tc_set(tc_set(X3)))
    | ~ c_in(X2,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
    | X2 != c_Zorn_Osucc(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_1455]) ).

cnf(i_0_3576,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_OImage(c_emptyset,X3,X4,tc_prod(X5,X6)),X6,X7,X5),tc_prod(X5,X7)),
    inference(scs_inference,[],[i_0_2956,i_0_1365]) ).

cnf(i_0_3577,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_3578,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_1365]) ).

cnf(i_0_3579,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X6,X4,X5,X7),tc_prod(X7,X5)),
    inference(scs_inference,[],[i_0_2956,i_0_3577,i_0_1365,i_0_1366]) ).

cnf(i_0_3580,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_3581,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_1366]) ).

cnf(i_0_3582,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_2956,i_0_3577,i_0_1454,i_0_1365,i_0_1366,i_0_1383]) ).

cnf(i_0_3583,plain,
    c_Datatype__Universe_OAtom(X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3),
    inference(rename_variables,[],[i_0_1454]) ).

cnf(i_0_3584,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_1383]) ).

cnf(i_0_3585,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X4,X5),tc_prod(X5,X4)),
    inference(scs_inference,[],[i_0_2956,i_0_3577,i_0_3580,i_0_1454,i_0_1365,i_0_1366,i_0_1383,i_0_1390]) ).

cnf(i_0_3586,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_3587,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_1390]) ).

cnf(i_0_3588,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X4,X5),X5),
    inference(scs_inference,[],[i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_1454,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403]) ).

cnf(i_0_3589,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_3590,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_1403]) ).

cnf(i_0_3591,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X4,X5),X4),
    inference(scs_inference,[],[i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_1454,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404]) ).

cnf(i_0_3592,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_3593,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_1404]) ).

cnf(i_0_3594,plain,
    c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,c_Inter(c_emptyset,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3016,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_1454,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429]) ).

cnf(i_0_3595,plain,
    c_in(X1,c_Inter(c_emptyset,X2),X2),
    inference(rename_variables,[],[i_0_3016]) ).

cnf(i_0_3596,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_1429]) ).

cnf(i_0_3597,plain,
    c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(c_Inter(c_emptyset,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_1454,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430]) ).

cnf(i_0_3598,plain,
    c_in(X1,c_Inter(c_emptyset,X2),X2),
    inference(rename_variables,[],[i_0_3016]) ).

cnf(i_0_3599,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_1430]) ).

cnf(i_0_3600,plain,
    c_in(c_inter(c_Relation_Oconverse(c_List_Oset(X1,tc_prod(X2,X3)),X2,X3),X4,tc_prod(X3,X2)),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))),
    inference(scs_inference,[],[i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3001,i_0_1454,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499]) ).

cnf(i_0_3601,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_3602,plain,
    c_in(c_inter(X1,c_Relation_Oconverse(c_List_Oset(X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3)),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X3))),
    inference(scs_inference,[],[i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3001,i_0_1454,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500]) ).

cnf(i_0_3603,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_3604,plain,
    c_in(c_insert(X1,c_Relation_Oconverse(c_List_Oset(X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3)),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X3))),
    inference(scs_inference,[],[i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3001,i_0_1454,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_3605,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_1501]) ).

cnf(i_0_3606,plain,
    c_times(c_uminus(c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624]) ).

cnf(i_0_3607,plain,
    c_Divides_Oop_Advd(X1,c_times(c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_3357]) ).

cnf(i_0_3608,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1624]) ).

cnf(i_0_3609,plain,
    c_lessequals(X1,X1,c_append(c_List_Olist_ONil,tc_nat,X2)),
    inference(scs_inference,[],[i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635]) ).

cnf(i_0_3610,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_3611,plain,
    c_in(c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,v_m,t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3265,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468]) ).

cnf(i_0_3612,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_3613,plain,
    c_lessequals(X1,c_List_Olists(c_UNIV,X2),tc_set(tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_3265,i_0_3004,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487]) ).

cnf(i_0_3614,plain,
    c_in(X1,c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_3004]) ).

cnf(i_0_3615,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_3616,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X6,X4,X5),X5),
    inference(scs_inference,[],[i_0_3265,i_0_3004,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380]) ).

cnf(i_0_3617,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_3618,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_1380]) ).

cnf(i_0_3619,plain,
    c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(c_UNIV,X2,X3),X3,X2),X3),
    inference(scs_inference,[],[i_0_3265,i_0_3004,i_0_2983,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419]) ).

cnf(i_0_3620,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_1419]) ).

cnf(i_0_3621,plain,
    c_in(X1,c_Relation_ORange(c_Relation_Oconverse(c_UNIV,X2,X3),X3,X2),X2),
    inference(scs_inference,[],[i_0_3265,i_0_3004,i_0_2983,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420]) ).

cnf(i_0_3622,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_1420]) ).

cnf(i_0_3623,plain,
    c_in(c_Relation_Oconverse(c_Relation_Oconverse(c_List_Oset(X1,tc_prod(X2,X3)),X2,X3),X3,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))),
    inference(scs_inference,[],[i_0_3265,i_0_3004,i_0_2983,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461]) ).

cnf(i_0_3624,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_1461]) ).

cnf(i_0_3625,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(c_UNIV,X3,X3),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3265,i_0_3004,i_0_2983,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517]) ).

cnf(i_0_3626,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_UNIV,X4,X3),tc_prod(X3,X4)),
    inference(rename_variables,[],[i_0_2983]) ).

cnf(i_0_3627,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_3628,plain,
    c_in(X1,c_Pow(c_Union(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(X2)),X2),X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3004,i_0_2983,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537]) ).

cnf(i_0_3629,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_3630,plain,
    c_Divides_Oop_Advd(X1,c_times(c_uminus(c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3004,i_0_2983,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_3607,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555]) ).

cnf(i_0_3631,plain,
    c_Divides_Oop_Advd(X1,c_times(c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_3357]) ).

cnf(i_0_3632,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_1555]) ).

cnf(i_0_3633,plain,
    c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,v_m,t_a),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3004,i_0_2983,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_3607,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536]) ).

cnf(i_0_3634,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_3635,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_List_Olist_ONil,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),X1),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_2983,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_3607,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585]) ).

cnf(i_0_3636,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_less(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1585]) ).

cnf(i_0_3637,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,X3,X4),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_2983,i_0_3626,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_3607,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412]) ).

cnf(i_0_3638,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_1412]) ).

cnf(i_0_3639,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(c_UNIV,X3,X3),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_2983,i_0_3626,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_3607,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416]) ).

cnf(i_0_3640,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_UNIV,X4,X3),tc_prod(X3,X4)),
    inference(rename_variables,[],[i_0_2983]) ).

cnf(i_0_3641,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_1416]) ).

cnf(i_0_3642,plain,
    c_in(X1,c_List_Olists(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_3607,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474]) ).

cnf(i_0_3643,plain,
    c_in(X1,c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_3004]) ).

cnf(i_0_3644,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_1474]) ).

cnf(i_0_3645,plain,
    c_in(X1,c_Inter(c_Relation_OImage(c_emptyset,X2,X3,tc_set(X4)),X4),X4),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1454,i_0_3357,i_0_3607,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504]) ).

cnf(i_0_3646,plain,
    ~ c_in(X1,c_Relation_OImage(c_emptyset,X2,X3,X4),X4),
    inference(rename_variables,[],[i_0_2956]) ).

cnf(i_0_3647,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_1504]) ).

cnf(i_0_3648,plain,
    c_UNIV = c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1),
    inference(scs_inference,[],[i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1454,i_0_3377,i_0_3357,i_0_3607,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731]) ).

cnf(i_0_3649,plain,
    c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Pow(c_emptyset,tc_Datatype__Universe_Onode(X1,X2)),c_Datatype__Universe_OScons(X3,c_emptyset,X1,X2),X1,X2) = c_emptyset,
    inference(scs_inference,[],[i_0_3566,i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1454,i_0_3377,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579]) ).

cnf(i_0_3650,plain,
    ~ c_less(X1,c_emptyset,tc_set(X2)),
    inference(rename_variables,[],[i_0_1599]) ).

cnf(i_0_3651,plain,
    c_lessequals(c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Pow(X3,tc_Datatype__Universe_Onode(X1,X2)),c_Datatype__Universe_OScons(X4,X3,X1,X2),X1,X2),X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(rename_variables,[],[i_0_3566]) ).

cnf(i_0_3652,plain,
    ( c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1579]) ).

cnf(i_0_3653,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_UNIV,X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1454,i_0_3377,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414]) ).

cnf(i_0_3654,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_UNIV,X4,X3),tc_prod(X3,X4)),
    inference(rename_variables,[],[i_0_2983]) ).

cnf(i_0_3655,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_1414]) ).

cnf(i_0_3656,plain,
    c_in(v_m,c_Union(c_Pow(c_UNIV,tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_3341,i_0_1454,i_0_3377,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498]) ).

cnf(i_0_3657,plain,
    c_in(X1,c_Pow(c_UNIV,X2),tc_set(X2)),
    inference(rename_variables,[],[i_0_3341]) ).

cnf(i_0_3658,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_1498]) ).

cnf(i_0_3659,plain,
    c_emptyset = c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Pow(c_emptyset,tc_Datatype__Universe_Onode(X1,X2)),c_Datatype__Universe_OScons(X3,c_emptyset,X1,X2),X1,X2),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_3341,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529]) ).

cnf(i_0_3660,plain,
    c_lessequals(c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Pow(X3,tc_Datatype__Universe_Onode(X1,X2)),c_Datatype__Universe_OScons(X4,X3,X1,X2),X1,X2),X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(rename_variables,[],[i_0_3566]) ).

cnf(i_0_3661,plain,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    inference(rename_variables,[],[i_0_1637]) ).

cnf(i_0_3662,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_3663,plain,
    c_in(c_union(c_Relation_Oconverse(c_List_Oset(X1,tc_prod(X2,X3)),X2,X3),c_Relation_Oconverse(c_List_Oset(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2)),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3270,i_0_3265,i_0_3061,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_3341,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471]) ).

cnf(i_0_3664,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_1471]) ).

cnf(i_0_3665,plain,
    ~ c_in(X1,c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Pow(c_append(c_List_Olist_ONil,c_emptyset,X4),tc_Datatype__Universe_Onode(X2,X3)),c_Datatype__Universe_OScons(X5,c_append(c_List_Olist_ONil,c_emptyset,X4),X2,X3),X2,X3),tc_Datatype__Universe_Onode(X2,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_3341,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514]) ).

cnf(i_0_3666,plain,
    c_lessequals(c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Pow(X3,tc_Datatype__Universe_Onode(X1,X2)),c_Datatype__Universe_OScons(X4,X3,X1,X2),X1,X2),X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(rename_variables,[],[i_0_3566]) ).

cnf(i_0_3667,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3668,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_1514]) ).

cnf(i_0_3669,plain,
    ~ c_in(c_append(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_List_Olist_ONil,X4),c_append(c_List_Olist_ONil,c_List_Olex(X5,X2),X6),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1643,i_0_3341,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814]) ).

cnf(i_0_3670,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3671,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_List_Olist_ONil,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),X1),c_append(tc_set(tc_set(t_a)),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1643,i_0_3670,i_0_3341,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879]) ).

cnf(i_0_3672,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3673,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1),c_append(c_List_Olist_ONil,tc_set(tc_set(t_a)),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1643,i_0_3670,i_0_3672,i_0_3341,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880]) ).

cnf(i_0_3674,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3675,plain,
    class_Orderings_Oord(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_1643,i_0_3670,i_0_3672,i_0_3341,i_0_3394,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818]) ).

cnf(i_0_3676,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3677,plain,
    class_Finite__Set_Ofinite(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_bool,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_1643,i_0_3670,i_0_3672,i_0_3341,i_0_3394,i_0_3396,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819]) ).

cnf(i_0_3678,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3679,plain,
    class_Nat_Opower(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_1643,i_0_3670,i_0_3672,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822]) ).

cnf(i_0_3680,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3681,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_append(c_List_Olist_ONil,tc_set(tc_set(t_a)),X1)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867]) ).

cnf(i_0_3682,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3683,plain,
    class_Numeral_Onumber(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888]) ).

cnf(i_0_3684,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3685,plain,
    class_HOL_Ozero(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893]) ).

cnf(i_0_3686,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3687,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896]) ).

cnf(i_0_3688,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3689,plain,
    class_HOL_Otimes(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899]) ).

cnf(i_0_3690,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3691,plain,
    class_HOL_Oplus(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900]) ).

cnf(i_0_3692,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3693,plain,
    class_HOL_Oone(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_3694,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3695,plain,
    class_HOL_Ominus(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_3696,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3697,plain,
    class_Parity_Oeven__odd(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904]) ).

cnf(i_0_3698,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3699,plain,
    class_Divides_Odiv(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905]) ).

cnf(i_0_3700,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3701,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_List_Olex(X4,X2),c_append(c_List_Olist_ONil,tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),X5)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813]) ).

cnf(i_0_3702,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3703,plain,
    ~ c_in(c_append(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_List_Olist_ONil,X4),c_List_Olex(X5,X2),c_append(c_List_Olist_ONil,tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),X6)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815]) ).

cnf(i_0_3704,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3705,plain,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_append(c_List_Olist_ONil,c_Datatype__Universe_OIn0(X4,X2,X3),X5),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732]) ).

cnf(i_0_3706,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3707,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3135,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849]) ).

cnf(i_0_3708,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3709,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(X1,c_List_Olist_ONil,X2),X3),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3135,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3341,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865]) ).

cnf(i_0_3710,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,X1,X2),tc_nat),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_3711,plain,
    ~ c_less(c_append(X1,c_List_Olist_ONil,X2),X1,c_append(c_List_Olist_ONil,tc_nat,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3135,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866]) ).

cnf(i_0_3712,plain,
    ~ c_less(X1,X1,c_append(c_List_Olist_ONil,tc_nat,X2)),
    inference(rename_variables,[],[i_0_3165]) ).

cnf(i_0_3713,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886]) ).

cnf(i_0_3714,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3715,plain,
    class_Orderings_Oorder(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906]) ).

cnf(i_0_3716,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3717,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_UNIV,X1),X2),X3),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816]) ).

cnf(i_0_3718,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3719,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1),X1),c_append(c_List_Olist_ONil,tc_List_Olist(X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817]) ).

cnf(i_0_3720,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_3721,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827]) ).

cnf(i_0_3722,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3723,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870]) ).

cnf(i_0_3724,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3725,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887]) ).

cnf(i_0_3726,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3727,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889]) ).

cnf(i_0_3728,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3729,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894]) ).

cnf(i_0_3730,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3731,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897]) ).

cnf(i_0_3732,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3733,plain,
    class_LOrder_Omeet__semilorder(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898]) ).

cnf(i_0_3734,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3735,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_3155,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862]) ).

cnf(i_0_3736,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3737,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890]) ).

cnf(i_0_3738,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3739,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_3193,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884]) ).

cnf(i_0_3740,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3741,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885]) ).

cnf(i_0_3742,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3743,plain,
    class_LOrder_Olorder(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895]) ).

cnf(i_0_3744,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3745,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3125,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844]) ).

cnf(i_0_3746,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3747,plain,
    class_Ring__and__Field_Osemiring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3125,i_0_3169,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869]) ).

cnf(i_0_3748,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3749,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882]) ).

cnf(i_0_3750,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3751,plain,
    class_Orderings_Olinorder(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903]) ).

cnf(i_0_3752,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3753,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848]) ).

cnf(i_0_3754,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3755,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3167,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868]) ).

cnf(i_0_3756,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3757,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3167,i_0_3187,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881]) ).

cnf(i_0_3758,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3759,plain,
    class_OrderedGroup_Oab__group__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883]) ).

cnf(i_0_3760,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3761,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877]) ).

cnf(i_0_3762,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3763,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3131,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847]) ).

cnf(i_0_3764,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3765,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864]) ).

cnf(i_0_3766,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3767,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3147,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858]) ).

cnf(i_0_3768,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3769,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861]) ).

cnf(i_0_3770,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3771,plain,
    class_Ring__and__Field_Oring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3157,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863]) ).

cnf(i_0_3772,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3773,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3157,i_0_3181,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875]) ).

cnf(i_0_3774,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3775,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876]) ).

cnf(i_0_3776,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3777,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846]) ).

cnf(i_0_3778,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3779,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3117,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838]) ).

cnf(i_0_3780,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3781,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3117,i_0_3145,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857]) ).

cnf(i_0_3782,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3783,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860]) ).

cnf(i_0_3784,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3785,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843]) ).

cnf(i_0_3786,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3787,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874]) ).

cnf(i_0_3788,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3789,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3127,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845]) ).

cnf(i_0_3790,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3791,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3127,i_0_3173,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871]) ).

cnf(i_0_3792,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3793,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3127,i_0_3173,i_0_3175,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872]) ).

cnf(i_0_3794,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3795,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873]) ).

cnf(i_0_3796,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3797,plain,
    class_Ring__and__Field_Oring__1(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859]) ).

cnf(i_0_3798,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3799,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837]) ).

cnf(i_0_3800,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3801,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3121,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842]) ).

cnf(i_0_3802,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3803,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855]) ).

cnf(i_0_3804,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3805,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856]) ).

cnf(i_0_3806,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3807,plain,
    class_Power_Orecpower(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831]) ).

cnf(i_0_3808,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3809,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839]) ).

cnf(i_0_3810,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3811,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836]) ).

cnf(i_0_3812,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3813,plain,
    class_Numeral_Onumber__ring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3105,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832]) ).

cnf(i_0_3814,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3815,plain,
    class_Ring__and__Field_Oidom(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3105,i_0_3109,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834]) ).

cnf(i_0_3816,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3817,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851]) ).

cnf(i_0_3818,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3819,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850]) ).

cnf(i_0_3820,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3821,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835]) ).

cnf(i_0_3822,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3823,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1637,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833]) ).

cnf(i_0_3824,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_3825,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1))),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527]) ).

cnf(i_0_3826,plain,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_1621]) ).

cnf(i_0_3827,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_3828,plain,
    class_Orderings_Oord(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541]) ).

cnf(i_0_3829,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2541]) ).

cnf(i_0_3830,plain,
    class_Orderings_Olinorder(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569]) ).

cnf(i_0_3831,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2569]) ).

cnf(i_0_3832,plain,
    class_Orderings_Oorder(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578]) ).

cnf(i_0_3833,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2578]) ).

cnf(i_0_3834,plain,
    class_Numeral_Onumber(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841]) ).

cnf(i_0_3835,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber(X1) ),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_3836,plain,
    class_HOL_Ozero(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937]) ).

cnf(i_0_3837,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Ozero(X1) ),
    inference(rename_variables,[],[i_0_1937]) ).

cnf(i_0_3838,plain,
    class_HOL_Otimes(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083]) ).

cnf(i_0_3839,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Otimes(X1) ),
    inference(rename_variables,[],[i_0_2083]) ).

cnf(i_0_3840,plain,
    class_HOL_Oplus(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218]) ).

cnf(i_0_3841,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Oplus(X1) ),
    inference(rename_variables,[],[i_0_2218]) ).

cnf(i_0_3842,plain,
    class_HOL_Oone(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505]) ).

cnf(i_0_3843,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Oone(X1) ),
    inference(rename_variables,[],[i_0_2505]) ).

cnf(i_0_3844,plain,
    class_HOL_Ominus(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521]) ).

cnf(i_0_3845,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_HOL_Ominus(X1) ),
    inference(rename_variables,[],[i_0_2521]) ).

cnf(i_0_3846,plain,
    class_Nat_Opower(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795]) ).

cnf(i_0_3847,plain,
    ( ~ class_Power_Orecpower(X1)
    | class_Nat_Opower(X1) ),
    inference(rename_variables,[],[i_0_1795]) ).

cnf(i_0_3848,plain,
    class_Orderings_Oord(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565]) ).

cnf(i_0_3849,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2565]) ).

cnf(i_0_3850,plain,
    class_LOrder_Olorder(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041]) ).

cnf(i_0_3851,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2041]) ).

cnf(i_0_3852,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055]) ).

cnf(i_0_3853,plain,
    ( ~ class_LOrder_Olorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2055]) ).

cnf(i_0_3854,plain,
    class_LOrder_Omeet__semilorder(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070]) ).

cnf(i_0_3855,plain,
    ( ~ class_LOrder_Olorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2070]) ).

cnf(i_0_3856,plain,
    c_in(c_Main_OImageE__1(c_Zorn_OTFin(v_S,t_a),X1,c_Relation_Oconverse(c_UNIV,X2,tc_set(tc_set(t_a))),tc_set(tc_set(t_a)),X2),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389]) ).

cnf(i_0_3857,plain,
    ( ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4) ),
    inference(rename_variables,[],[i_0_1389]) ).

cnf(i_0_3858,plain,
    c_in(v_m,c_Main_OUnionE__1(v_m,c_Pow(c_UNIV,tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493]) ).

cnf(i_0_3859,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_3860,plain,
    class_Orderings_Oord(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540]) ).

cnf(i_0_3861,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2540]) ).

cnf(i_0_3862,plain,
    class_Orderings_Oorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540,i_0_2577]) ).

cnf(i_0_3863,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2577]) ).

cnf(i_0_3864,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540,i_0_2577,i_0_2043]) ).

cnf(i_0_3865,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2043]) ).

cnf(i_0_3866,plain,
    class_LOrder_Omeet__semilorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540,i_0_2577,i_0_2043,i_0_2058]) ).

cnf(i_0_3867,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2058]) ).

cnf(i_0_3868,plain,
    class_LOrder_Olorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2029]) ).

cnf(i_0_3869,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2029]) ).

cnf(i_0_3870,plain,
    class_Orderings_Olinorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568]) ).

cnf(i_0_3871,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2568]) ).

cnf(i_0_3872,plain,
    ( ~ c_in(c_Main_Ofinite__Union__1(c_union(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Union(c_union(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3375,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_1479]) ).

cnf(i_0_3873,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3375]) ).

cnf(i_0_3874,plain,
    ( ~ 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))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1479]) ).

cnf(i_0_3875,plain,
    ( c_in(c_Main_Ofinite__Union__1(c_inter(c_List_Oset(X1,tc_set(X2)),X3,tc_set(X2)),X2),c_inter(c_List_Oset(X1,tc_set(X2)),X3,tc_set(X2)),tc_set(X2))
    | c_in(c_Union(c_inter(c_List_Oset(X1,tc_set(X2)),X3,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3375,i_0_3010,i_0_1454,i_0_3377,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_1479,i_0_1494]) ).

cnf(i_0_3876,plain,
    c_in(c_inter(c_List_Oset(X1,X2),X3,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3010]) ).

cnf(i_0_3877,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_1494]) ).

cnf(i_0_3878,plain,
    ( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)
    | ~ c_in(c_append(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_List_Olist_ONil,X1),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(scs_inference,[],[i_0_1619,i_0_2948,i_0_3566,i_0_3651,i_0_3660,i_0_3270,i_0_3540,i_0_3534,i_0_3057,i_0_3390,i_0_3386,i_0_3388,i_0_3265,i_0_3061,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3105,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3247,i_0_3125,i_0_3169,i_0_3189,i_0_3004,i_0_3614,i_0_3193,i_0_3195,i_0_3211,i_0_3155,i_0_3205,i_0_2983,i_0_3626,i_0_3640,i_0_3016,i_0_3595,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_1561,i_0_2956,i_0_3577,i_0_3580,i_0_3586,i_0_3589,i_0_3592,i_0_3617,i_0_3260,i_0_3249,i_0_3001,i_0_3163,i_0_1646,i_0_3676,i_0_3678,i_0_3680,i_0_3684,i_0_3686,i_0_3688,i_0_3690,i_0_3692,i_0_3694,i_0_3696,i_0_3698,i_0_3700,i_0_3708,i_0_3714,i_0_3716,i_0_3722,i_0_3724,i_0_3726,i_0_3728,i_0_3730,i_0_3732,i_0_3734,i_0_3736,i_0_3738,i_0_3740,i_0_3742,i_0_3744,i_0_3746,i_0_3748,i_0_3750,i_0_3752,i_0_3754,i_0_3756,i_0_3758,i_0_3760,i_0_3762,i_0_3764,i_0_3766,i_0_3768,i_0_3770,i_0_3772,i_0_3774,i_0_3776,i_0_3778,i_0_3780,i_0_3782,i_0_3784,i_0_3786,i_0_3788,i_0_3790,i_0_3792,i_0_3794,i_0_3796,i_0_3798,i_0_3800,i_0_3802,i_0_3804,i_0_3806,i_0_3808,i_0_3810,i_0_3812,i_0_3814,i_0_3816,i_0_3818,i_0_3820,i_0_3822,i_0_3135,i_0_3197,i_0_1643,i_0_3670,i_0_3672,i_0_3674,i_0_3682,i_0_3702,i_0_3704,i_0_3706,i_0_3718,i_0_3341,i_0_3165,i_0_3394,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3375,i_0_3010,i_0_1454,i_0_3377,i_0_3007,i_0_1621,i_0_1637,i_0_1615,i_0_3357,i_0_3607,i_0_1599,i_0_1365,i_0_1366,i_0_1383,i_0_1390,i_0_1403,i_0_1404,i_0_1429,i_0_1430,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1468,i_0_1487,i_0_1380,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1537,i_0_1555,i_0_1536,i_0_1585,i_0_1412,i_0_1416,i_0_1474,i_0_1504,i_0_2731,i_0_1579,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_1514,i_0_2814,i_0_2879,i_0_2880,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2813,i_0_2815,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2884,i_0_2885,i_0_2895,i_0_2844,i_0_2869,i_0_2882,i_0_2903,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2836,i_0_2832,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2541,i_0_2569,i_0_2578,i_0_1841,i_0_1937,i_0_2083,i_0_2218,i_0_2505,i_0_2521,i_0_1795,i_0_2565,i_0_2041,i_0_2055,i_0_2070,i_0_1389,i_0_1493,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_1479,i_0_1494,i_0_1455]) ).

cnf(i_0_3879,plain,
    c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(rename_variables,[],[i_0_3007]) ).

cnf(i_0_3880,plain,
    ( c_lessequals(X1,X2,tc_set(tc_set(X3)))
    | ~ c_in(X2,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
    | X2 != c_Zorn_Osucc(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_1455]) ).

cnf(i_0_3881,plain,
    c_append(c_List_Olist_ONil,c_append(c_0,c_List_Olist_ONil,X1),X2) = c_0,
    inference(scs_inference,[],[i_0_3709,i_0_1651]) ).

cnf(i_0_3882,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(X1,c_List_Olist_ONil,X2),X3),tc_nat),
    inference(rename_variables,[],[i_0_3709]) ).

cnf(i_0_3883,plain,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1651]) ).

cnf(i_0_3884,plain,
    c_in(c_inter(c_emptyset,X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1640,i_0_3709,i_0_1651,i_0_1499]) ).

cnf(i_0_3885,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_3886,plain,
    c_in(c_inter(X1,c_emptyset,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1640,i_0_3709,i_0_1651,i_0_1499,i_0_1500]) ).

cnf(i_0_3887,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_3888,plain,
    c_in(c_insert(X1,c_emptyset,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1640,i_0_3709,i_0_1651,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_3889,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_1501]) ).

cnf(i_0_3890,plain,
    c_times(c_uminus(c_uminus(c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),X1,tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_1640,i_0_3709,i_0_3630,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624]) ).

cnf(i_0_3891,plain,
    c_Divides_Oop_Advd(X1,c_times(c_uminus(c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),X2,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_3630]) ).

cnf(i_0_3892,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1624]) ).

cnf(i_0_3893,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(scs_inference,[],[i_0_1640,i_0_2724,i_0_3709,i_0_3630,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635]) ).

cnf(i_0_3894,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_3895,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,tc_prod(X6,X7)),X7,X8,X6),tc_prod(X6,X8)),
    inference(scs_inference,[],[i_0_1640,i_0_2724,i_0_3281,i_0_3709,i_0_3630,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365]) ).

cnf(i_0_3896,plain,
    ~ c_in(X1,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5),X5),
    inference(rename_variables,[],[i_0_3281]) ).

cnf(i_0_3897,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_1365]) ).

cnf(i_0_3898,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X7,X5,X6,X8),tc_prod(X8,X6)),
    inference(scs_inference,[],[i_0_1640,i_0_2724,i_0_3281,i_0_3896,i_0_3709,i_0_3630,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366]) ).

cnf(i_0_3899,plain,
    ~ c_in(X1,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5),X5),
    inference(rename_variables,[],[i_0_3281]) ).

cnf(i_0_3900,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_1366]) ).

cnf(i_0_3901,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X5,X6),tc_prod(X6,X5)),
    inference(scs_inference,[],[i_0_1640,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3709,i_0_3630,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390]) ).

cnf(i_0_3902,plain,
    ~ c_in(X1,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5),X5),
    inference(rename_variables,[],[i_0_3281]) ).

cnf(i_0_3903,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_1390]) ).

cnf(i_0_3904,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X5,X6),X6),
    inference(scs_inference,[],[i_0_1640,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3709,i_0_3630,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403]) ).

cnf(i_0_3905,plain,
    ~ c_in(X1,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5),X5),
    inference(rename_variables,[],[i_0_3281]) ).

cnf(i_0_3906,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_1403]) ).

cnf(i_0_3907,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X5,X6),X5),
    inference(scs_inference,[],[i_0_1640,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3709,i_0_3630,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404]) ).

cnf(i_0_3908,plain,
    ~ c_in(X1,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5),X5),
    inference(rename_variables,[],[i_0_3281]) ).

cnf(i_0_3909,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_1404]) ).

cnf(i_0_3910,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_1640,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555]) ).

cnf(i_0_3911,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_1583]) ).

cnf(i_0_3912,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_1555]) ).

cnf(i_0_3913,plain,
    c_in(c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,v_m,t_a),t_a),t_a),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3611,i_0_1640,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468]) ).

cnf(i_0_3914,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_3915,plain,
    c_in(c_Datatype__Universe_OIn1(c_emptyset,X1,X2),c_Datatype__Universe_Ousum(X3,c_Finite__Set_OFinites,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_3611,i_0_1640,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429]) ).

cnf(i_0_3916,plain,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_1640]) ).

cnf(i_0_3917,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_1429]) ).

cnf(i_0_3918,plain,
    c_in(c_Datatype__Universe_OIn0(c_emptyset,X1,X2),c_Datatype__Universe_Ousum(c_Finite__Set_OFinites,X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_3611,i_0_1640,i_0_3916,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430]) ).

cnf(i_0_3919,plain,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_1640]) ).

cnf(i_0_3920,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_1430]) ).

cnf(i_0_3921,plain,
    c_in(c_Relation_Oconverse(c_emptyset,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))),
    inference(scs_inference,[],[i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461]) ).

cnf(i_0_3922,plain,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_1640]) ).

cnf(i_0_3923,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_1461]) ).

cnf(i_0_3924,plain,
    c_lessequals(X1,c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),tc_set(X3)),
    inference(scs_inference,[],[i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487]) ).

cnf(i_0_3925,plain,
    c_in(X1,c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),
    inference(rename_variables,[],[i_0_3335]) ).

cnf(i_0_3926,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_3927,plain,
    c_lessequals(X1,c_Union(c_Relation_OImage(c_Relation_Oconverse(c_UNIV,tc_set(X2),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(X2)),X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_3653,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536]) ).

cnf(i_0_3928,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_UNIV,X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3653]) ).

cnf(i_0_3929,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_3930,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X7,X5,X6),X6),
    inference(scs_inference,[],[i_0_3653,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380]) ).

cnf(i_0_3931,plain,
    ~ c_in(X1,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5),X5),
    inference(rename_variables,[],[i_0_3281]) ).

cnf(i_0_3932,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_1380]) ).

cnf(i_0_3933,plain,
    c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_Relation_Oconverse(c_UNIV,tc_prod(X2,X3),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X3)),X2,X3),X2),
    inference(scs_inference,[],[i_0_3653,i_0_3928,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419]) ).

cnf(i_0_3934,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_UNIV,X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3653]) ).

cnf(i_0_3935,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_1419]) ).

cnf(i_0_3936,plain,
    c_in(X1,c_Relation_ORange(c_Relation_OImage(c_Relation_Oconverse(c_UNIV,tc_prod(X2,X3),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X3)),X2,X3),X3),
    inference(scs_inference,[],[i_0_3653,i_0_3928,i_0_3934,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420]) ).

cnf(i_0_3937,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_UNIV,X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3653]) ).

cnf(i_0_3938,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_1420]) ).

cnf(i_0_3939,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Relation_OImage(c_Relation_Oconverse(c_UNIV,tc_prod(X2,X2),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X2)),X2),tc_prod(X2,X2)),
    inference(scs_inference,[],[i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517]) ).

cnf(i_0_3940,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_UNIV,X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3653]) ).

cnf(i_0_3941,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_3942,plain,
    c_in(X1,c_Pow(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_3267,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537]) ).

cnf(i_0_3943,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_3944,plain,
    c_in(X1,c_Inter(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_set(X5)),X5),X5),
    inference(scs_inference,[],[i_0_3267,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504]) ).

cnf(i_0_3945,plain,
    ~ c_in(X1,c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5),X5),
    inference(rename_variables,[],[i_0_3281]) ).

cnf(i_0_3946,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_1504]) ).

cnf(i_0_3947,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Relation_OImage(c_Relation_Oconverse(c_UNIV,tc_prod(X4,X3),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X4,X3)),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_3267,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412]) ).

cnf(i_0_3948,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_UNIV,X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3653]) ).

cnf(i_0_3949,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_1412]) ).

cnf(i_0_3950,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_OImage(c_Relation_Oconverse(c_UNIV,tc_prod(X3,X3),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3267,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416]) ).

cnf(i_0_3951,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_UNIV,X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3653]) ).

cnf(i_0_3952,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_1416]) ).

cnf(i_0_3953,plain,
    c_in(X1,c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),tc_List_Olist(X3)),
    inference(scs_inference,[],[i_0_3267,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_3925,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3709,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474]) ).

cnf(i_0_3954,plain,
    c_in(X1,c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),
    inference(rename_variables,[],[i_0_3335]) ).

cnf(i_0_3955,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_1474]) ).

cnf(i_0_3956,plain,
    c_UNIV = c_Zorn_Osucc(X1,c_UNIV,X2),
    inference(scs_inference,[],[i_0_3267,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_3925,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731]) ).

cnf(i_0_3957,plain,
    c_in(c_Main_OusumE__2(c_Finite__Set_OFinites,c_Datatype__Universe_OIn1(c_emptyset,X1,X2),X1,X2),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_3267,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_3055,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_3925,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393]) ).

cnf(i_0_3958,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_3959,plain,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | 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))) ),
    inference(rename_variables,[],[i_0_1393]) ).

cnf(i_0_3960,plain,
    c_in(c_Datatype__Universe_OScons(X1,X2,X3,X4),c_Datatype__Universe_Ouprod(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_UNIV,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))),
    inference(scs_inference,[],[i_0_3267,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_3055,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_3925,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417]) ).

cnf(i_0_3961,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_3962,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_3963,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_1417]) ).

cnf(i_0_3964,plain,
    c_in(X1,c_Relation_OImage(c_Transitive__Closure_Otrancl(c_UNIV,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_3925,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414]) ).

cnf(i_0_3965,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_UNIV,X3),tc_prod(X3,X3)),
    inference(rename_variables,[],[i_0_2986]) ).

cnf(i_0_3966,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_1414]) ).

cnf(i_0_3967,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3333,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498]) ).

cnf(i_0_3968,plain,
    c_in(c_insert(X1,c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(rename_variables,[],[i_0_3333]) ).

cnf(i_0_3969,plain,
    c_in(X1,c_insert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1568]) ).

cnf(i_0_3970,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_1498]) ).

cnf(i_0_3971,plain,
    c_Union(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(X1)),X1) = c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3333,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529]) ).

cnf(i_0_3972,plain,
    c_lessequals(X1,c_Union(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(X2)),X2),tc_set(X2)),
    inference(rename_variables,[],[i_0_3270]) ).

cnf(i_0_3973,plain,
    c_lessequals(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),tc_set(X2)),
    inference(rename_variables,[],[i_0_3267]) ).

cnf(i_0_3974,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_3975,plain,
    c_in(c_union(c_emptyset,c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3333,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471]) ).

cnf(i_0_3976,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_1471]) ).

cnf(i_0_3977,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_append(c_append(c_List_Olex(X4,X2),c_List_Olist_ONil,X5),c_List_Olist_ONil,X6),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3333,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814]) ).

cnf(i_0_3978,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3979,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818]) ).

cnf(i_0_3980,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3981,plain,
    class_Finite__Set_Ofinite(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_bool,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819]) ).

cnf(i_0_3982,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3983,plain,
    class_Nat_Opower(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822]) ).

cnf(i_0_3984,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3985,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_List_Olist_ONil,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),X1),c_append(tc_set(tc_set(t_a)),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867]) ).

cnf(i_0_3986,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_3987,plain,
    class_Numeral_Onumber(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888]) ).

cnf(i_0_3988,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3989,plain,
    class_HOL_Ozero(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893]) ).

cnf(i_0_3990,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3991,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896]) ).

cnf(i_0_3992,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3993,plain,
    class_HOL_Otimes(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899]) ).

cnf(i_0_3994,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3995,plain,
    class_HOL_Oplus(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900]) ).

cnf(i_0_3996,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3997,plain,
    class_HOL_Oone(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_3998,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_3999,plain,
    class_HOL_Ominus(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_4000,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4001,plain,
    class_Parity_Oeven__odd(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904]) ).

cnf(i_0_4002,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4003,plain,
    class_Divides_Odiv(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905]) ).

cnf(i_0_4004,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4005,plain,
    ~ c_in(X1,c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Pow(c_append(c_List_Olist_ONil,c_emptyset,X4),tc_Datatype__Universe_Onode(X2,X3)),c_Datatype__Universe_OScons(X5,c_append(c_List_Olist_ONil,c_emptyset,X4),X2,X3),X2,X3),c_append(tc_Datatype__Universe_Onode(X2,X3),c_List_Olist_ONil,X6)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3986,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815]) ).

cnf(i_0_4006,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_4007,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1),c_append(tc_set(tc_set(t_a)),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879]) ).

cnf(i_0_4008,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_4009,plain,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_append(c_List_Olex(X3,X2),c_List_Olist_ONil,X4),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813]) ).

cnf(i_0_4010,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_append(c_List_Olex(X4,X2),c_List_Olist_ONil,X5),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_3384]) ).

cnf(i_0_4011,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4012,plain,
    c_List_Olist_ONil != c_append(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil,X4),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732]) ).

cnf(i_0_4013,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_4014,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_3135,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849]) ).

cnf(i_0_4015,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4016,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,X1,X2),X3),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_3135,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865]) ).

cnf(i_0_4017,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,X1,X2),tc_nat),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_4018,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1),c_append(c_List_Olist_ONil,tc_set(tc_set(t_a)),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_3135,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866]) ).

cnf(i_0_4019,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_4020,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886]) ).

cnf(i_0_4021,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4022,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,tc_set(X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906]) ).

cnf(i_0_4023,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4024,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_List_Olists(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),c_List_Olist_ONil,X2),tc_List_Olist(tc_List_Olist(X1))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816]) ).

cnf(i_0_4025,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_4026,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),c_append(tc_List_Olist(tc_List_Olist(X1)),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817]) ).

cnf(i_0_4027,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_4028,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827]) ).

cnf(i_0_4029,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4030,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870]) ).

cnf(i_0_4031,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4032,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887]) ).

cnf(i_0_4033,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4034,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889]) ).

cnf(i_0_4035,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4036,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894]) ).

cnf(i_0_4037,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4038,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897]) ).

cnf(i_0_4039,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4040,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898]) ).

cnf(i_0_4041,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4042,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3155,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862]) ).

cnf(i_0_4043,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4044,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3155,i_0_3205,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890]) ).

cnf(i_0_4045,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4046,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895]) ).

cnf(i_0_4047,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4048,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3193,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884]) ).

cnf(i_0_4049,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4050,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885]) ).

cnf(i_0_4051,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4052,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903]) ).

cnf(i_0_4053,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4054,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3125,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844]) ).

cnf(i_0_4055,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4056,plain,
    class_Ring__and__Field_Osemiring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3125,i_0_3169,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869]) ).

cnf(i_0_4057,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4058,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882]) ).

cnf(i_0_4059,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4060,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848]) ).

cnf(i_0_4061,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4062,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3167,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868]) ).

cnf(i_0_4063,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4064,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3167,i_0_3187,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881]) ).

cnf(i_0_4065,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4066,plain,
    class_OrderedGroup_Oab__group__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883]) ).

cnf(i_0_4067,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4068,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877]) ).

cnf(i_0_4069,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4070,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3131,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847]) ).

cnf(i_0_4071,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4072,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864]) ).

cnf(i_0_4073,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4074,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3147,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858]) ).

cnf(i_0_4075,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4076,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861]) ).

cnf(i_0_4077,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4078,plain,
    class_Ring__and__Field_Oring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3157,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863]) ).

cnf(i_0_4079,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4080,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3157,i_0_3181,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875]) ).

cnf(i_0_4081,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4082,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876]) ).

cnf(i_0_4083,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4084,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846]) ).

cnf(i_0_4085,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4086,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3117,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838]) ).

cnf(i_0_4087,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4088,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3117,i_0_3145,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857]) ).

cnf(i_0_4089,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4090,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860]) ).

cnf(i_0_4091,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4092,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843]) ).

cnf(i_0_4093,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4094,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874]) ).

cnf(i_0_4095,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4096,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3127,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845]) ).

cnf(i_0_4097,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4098,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3127,i_0_3173,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871]) ).

cnf(i_0_4099,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4100,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3127,i_0_3173,i_0_3175,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872]) ).

cnf(i_0_4101,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4102,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873]) ).

cnf(i_0_4103,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4104,plain,
    class_Ring__and__Field_Oring__1(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859]) ).

cnf(i_0_4105,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4106,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837]) ).

cnf(i_0_4107,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4108,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3121,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842]) ).

cnf(i_0_4109,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4110,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855]) ).

cnf(i_0_4111,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4112,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856]) ).

cnf(i_0_4113,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4114,plain,
    class_Power_Orecpower(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831]) ).

cnf(i_0_4115,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4116,plain,
    class_Numeral_Onumber__ring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832]) ).

cnf(i_0_4117,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4118,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839]) ).

cnf(i_0_4119,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4120,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836]) ).

cnf(i_0_4121,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4122,plain,
    class_Ring__and__Field_Oidom(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3109,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834]) ).

cnf(i_0_4123,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4124,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851]) ).

cnf(i_0_4125,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4126,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850]) ).

cnf(i_0_4127,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4128,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835]) ).

cnf(i_0_4129,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4130,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833]) ).

cnf(i_0_4131,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4132,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X1),X2),X2),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527]) ).

cnf(i_0_4133,plain,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_1621]) ).

cnf(i_0_4134,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_4135,plain,
    c_in(c_Main_OUnionE__1(X1,c_Finite__Set_OFinites,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491]) ).

cnf(i_0_4136,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1491]) ).

cnf(i_0_4137,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543]) ).

cnf(i_0_4138,plain,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2543]) ).

cnf(i_0_4139,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580]) ).

cnf(i_0_4140,plain,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2580]) ).

cnf(i_0_4141,plain,
    class_HOL_Ozero(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938]) ).

cnf(i_0_4142,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Ozero(X1) ),
    inference(rename_variables,[],[i_0_1938]) ).

cnf(i_0_4143,plain,
    class_HOL_Otimes(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084]) ).

cnf(i_0_4144,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Otimes(X1) ),
    inference(rename_variables,[],[i_0_2084]) ).

cnf(i_0_4145,plain,
    class_HOL_Oplus(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220]) ).

cnf(i_0_4146,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Oplus(X1) ),
    inference(rename_variables,[],[i_0_2220]) ).

cnf(i_0_4147,plain,
    class_HOL_Oone(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506]) ).

cnf(i_0_4148,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Oone(X1) ),
    inference(rename_variables,[],[i_0_2506]) ).

cnf(i_0_4149,plain,
    class_HOL_Ominus(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522]) ).

cnf(i_0_4150,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_HOL_Ominus(X1) ),
    inference(rename_variables,[],[i_0_2522]) ).

cnf(i_0_4151,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,tc_set(X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566]) ).

cnf(i_0_4152,plain,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2566]) ).

cnf(i_0_4153,plain,
    class_Numeral_Onumber(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841]) ).

cnf(i_0_4154,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber(X1) ),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_4155,plain,
    class_Nat_Opower(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795]) ).

cnf(i_0_4156,plain,
    ( ~ class_Power_Orecpower(X1)
    | class_Nat_Opower(X1) ),
    inference(rename_variables,[],[i_0_1795]) ).

cnf(i_0_4157,plain,
    c_in(c_Main_OImageE__1(c_Zorn_OTFin(v_S,t_a),X1,c_Transitive__Closure_Otrancl(c_UNIV,tc_set(tc_set(t_a))),tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389]) ).

cnf(i_0_4158,plain,
    ( ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4) ),
    inference(rename_variables,[],[i_0_1389]) ).

cnf(i_0_4159,plain,
    c_in(X1,c_Main_OUnionE__1(X1,c_Finite__Set_OFinites,X2),X2),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493]) ).

cnf(i_0_4160,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_4161,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577]) ).

cnf(i_0_4162,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2577]) ).

cnf(i_0_4163,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577,i_0_2043]) ).

cnf(i_0_4164,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2043]) ).

cnf(i_0_4165,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577,i_0_2043,i_0_2058]) ).

cnf(i_0_4166,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2058]) ).

cnf(i_0_4167,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577,i_0_2043,i_0_2058,i_0_2029]) ).

cnf(i_0_4168,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2029]) ).

cnf(i_0_4169,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568]) ).

cnf(i_0_4170,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2568]) ).

cnf(i_0_4171,plain,
    ( ~ c_in(c_Main_Ofinite__Union__1(c_inter(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),X3,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Union(c_inter(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),X3,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3329,i_0_3333,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_1479]) ).

cnf(i_0_4172,plain,
    c_in(c_inter(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),X3,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3329]) ).

cnf(i_0_4173,plain,
    ( ~ 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))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1479]) ).

cnf(i_0_4174,plain,
    ( c_in(c_Main_Ofinite__Union__1(c_inter(X1,c_List_Oset(X2,tc_set(X3)),tc_set(X3)),X3),c_inter(X1,c_List_Oset(X2,tc_set(X3)),tc_set(X3)),tc_set(X3))
    | c_in(c_Union(c_inter(X1,c_List_Oset(X2,tc_set(X3)),tc_set(X3)),X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3329,i_0_3333,i_0_3012,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_1479,i_0_1494]) ).

cnf(i_0_4175,plain,
    c_in(c_inter(X1,c_List_Oset(X2,X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(rename_variables,[],[i_0_3012]) ).

cnf(i_0_4176,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_1494]) ).

cnf(i_0_4177,plain,
    ( c_in(X1,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(t_a))
    | ~ c_in(X1,c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,v_m,t_a),t_a),tc_set(t_a)) ),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3633,i_0_3611,i_0_3390,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3329,i_0_3333,i_0_3012,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_1479,i_0_1494,i_0_1514]) ).

cnf(i_0_4178,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_1514]) ).

cnf(i_0_4179,plain,
    ( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)
    | ~ c_in(c_append(c_List_Olist_ONil,c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),X1),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3270,i_0_3044,i_0_3665,i_0_3653,i_0_3928,i_0_3934,i_0_3937,i_0_3940,i_0_3948,i_0_3825,i_0_3384,i_0_3635,i_0_3633,i_0_3611,i_0_3390,i_0_3059,i_0_3055,i_0_3107,i_0_3111,i_0_3137,i_0_3109,i_0_3139,i_0_3113,i_0_3119,i_0_3105,i_0_3103,i_0_3143,i_0_3121,i_0_3141,i_0_3115,i_0_3149,i_0_3127,i_0_3173,i_0_3175,i_0_3177,i_0_3179,i_0_3123,i_0_3117,i_0_3145,i_0_3151,i_0_3129,i_0_3157,i_0_3181,i_0_3183,i_0_3147,i_0_3153,i_0_3131,i_0_3159,i_0_3185,i_0_3167,i_0_3187,i_0_3191,i_0_3133,i_0_3125,i_0_3169,i_0_3189,i_0_3227,i_0_3193,i_0_3195,i_0_3155,i_0_3205,i_0_3211,i_0_2986,i_0_1652,i_0_1616,i_0_1640,i_0_3916,i_0_3919,i_0_3922,i_0_3101,i_0_3171,i_0_3199,i_0_3203,i_0_3209,i_0_3215,i_0_3217,i_0_3335,i_0_3925,i_0_1568,i_0_2724,i_0_2607,i_0_1645,i_0_3980,i_0_3982,i_0_3984,i_0_3988,i_0_3990,i_0_3992,i_0_3994,i_0_3996,i_0_3998,i_0_4000,i_0_4002,i_0_4004,i_0_4011,i_0_4015,i_0_4021,i_0_4023,i_0_4029,i_0_4031,i_0_4033,i_0_4035,i_0_4037,i_0_4039,i_0_4041,i_0_4043,i_0_4045,i_0_4047,i_0_4049,i_0_4051,i_0_4053,i_0_4055,i_0_4057,i_0_4059,i_0_4061,i_0_4063,i_0_4065,i_0_4067,i_0_4069,i_0_4071,i_0_4073,i_0_4075,i_0_4077,i_0_4079,i_0_4081,i_0_4083,i_0_4085,i_0_4087,i_0_4089,i_0_4091,i_0_4093,i_0_4095,i_0_4097,i_0_4099,i_0_4101,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4113,i_0_4115,i_0_4117,i_0_4119,i_0_4121,i_0_4123,i_0_4125,i_0_4127,i_0_4129,i_0_3135,i_0_3197,i_0_3281,i_0_3896,i_0_3899,i_0_3902,i_0_3905,i_0_3908,i_0_3931,i_0_3163,i_0_1644,i_0_3978,i_0_3986,i_0_4006,i_0_4008,i_0_4013,i_0_4019,i_0_4025,i_0_3681,i_0_3549,i_0_3329,i_0_3333,i_0_3012,i_0_3709,i_0_3090,i_0_3396,i_0_3398,i_0_3500,i_0_3506,i_0_3512,i_0_3518,i_0_3520,i_0_3522,i_0_3524,i_0_3528,i_0_3530,i_0_3007,i_0_1621,i_0_1615,i_0_3630,i_0_1583,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1429,i_0_1430,i_0_1461,i_0_1487,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1498,i_0_1529,i_0_1471,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2896,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2879,i_0_2813,i_0_2732,i_0_2849,i_0_2865,i_0_2866,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_1491,i_0_2543,i_0_2580,i_0_1938,i_0_2084,i_0_2220,i_0_2506,i_0_2522,i_0_2566,i_0_1841,i_0_1795,i_0_1389,i_0_1493,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_1479,i_0_1494,i_0_1514,i_0_1455]) ).

cnf(i_0_4180,plain,
    c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(rename_variables,[],[i_0_3007]) ).

cnf(i_0_4181,plain,
    ( c_lessequals(X1,X2,tc_set(tc_set(X3)))
    | ~ c_in(X2,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
    | X2 != c_Zorn_Osucc(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_1455]) ).

cnf(i_0_4182,plain,
    c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_0,X1),X2) = c_0,
    inference(scs_inference,[],[i_0_4016,i_0_1651]) ).

cnf(i_0_4183,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,X1,X2),X3),tc_nat),
    inference(rename_variables,[],[i_0_4016]) ).

cnf(i_0_4184,plain,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1651]) ).

cnf(i_0_4185,plain,
    c_in(c_inter(c_union(c_Relation_Oconverse(c_List_Oset(X1,tc_prod(X2,X3)),X2,X3),c_Relation_Oconverse(c_List_Oset(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2)),X4,tc_prod(X3,X2)),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))),
    inference(scs_inference,[],[i_0_3663,i_0_4016,i_0_1651,i_0_1499]) ).

cnf(i_0_4186,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_4187,plain,
    c_in(c_inter(X1,c_union(c_Relation_Oconverse(c_List_Oset(X2,tc_prod(X3,X4)),X3,X4),c_Relation_Oconverse(c_List_Oset(X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3)),tc_prod(X4,X3)),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X3))),
    inference(scs_inference,[],[i_0_3663,i_0_4016,i_0_1651,i_0_1499,i_0_1500]) ).

cnf(i_0_4188,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_4189,plain,
    c_in(c_insert(X1,c_union(c_Relation_Oconverse(c_List_Oset(X2,tc_prod(X3,X4)),X3,X4),c_Relation_Oconverse(c_List_Oset(X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3)),tc_prod(X4,X3)),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X3))),
    inference(scs_inference,[],[i_0_3663,i_0_4016,i_0_1651,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_4190,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_1501]) ).

cnf(i_0_4191,plain,
    c_times(X1,c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_3663,i_0_4016,i_0_3910,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624]) ).

cnf(i_0_4192,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_3910]) ).

cnf(i_0_4193,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1624]) ).

cnf(i_0_4194,plain,
    c_lessequals(X1,X1,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X2),X3,X4),X3,X4)),
    inference(scs_inference,[],[i_0_3663,i_0_3532,i_0_4016,i_0_3910,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635]) ).

cnf(i_0_4195,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_4196,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,c_append(c_List_Olist_ONil,c_emptyset,X4),X5,X6,X7),X6,X8,X7),tc_prod(X7,X8)),
    inference(scs_inference,[],[i_0_3663,i_0_3532,i_0_3275,i_0_4016,i_0_3910,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365]) ).

cnf(i_0_4197,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),tc_prod(X6,X5)),
    inference(rename_variables,[],[i_0_3275]) ).

cnf(i_0_4198,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_1365]) ).

cnf(i_0_4199,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),X7,X6,X5,X8),tc_prod(X8,X5)),
    inference(scs_inference,[],[i_0_3663,i_0_3532,i_0_3275,i_0_4197,i_0_4016,i_0_3910,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366]) ).

cnf(i_0_4200,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),tc_prod(X6,X5)),
    inference(rename_variables,[],[i_0_3275]) ).

cnf(i_0_4201,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_1366]) ).

cnf(i_0_4202,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),X6,X5),tc_prod(X5,X6)),
    inference(scs_inference,[],[i_0_3663,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_4016,i_0_3910,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390]) ).

cnf(i_0_4203,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),tc_prod(X6,X5)),
    inference(rename_variables,[],[i_0_3275]) ).

cnf(i_0_4204,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_1390]) ).

cnf(i_0_4205,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,tc_prod(X5,X6))),X7,X4,tc_prod(X5,X6)),X5,X6),X6),
    inference(scs_inference,[],[i_0_3663,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_4016,i_0_3910,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403]) ).

cnf(i_0_4206,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X6,X4,X5),X5),
    inference(rename_variables,[],[i_0_3616]) ).

cnf(i_0_4207,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_1403]) ).

cnf(i_0_4208,plain,
    ~ c_in(c_List_Olist_ONil,c_Relation_ODomain(c_append(c_List_Olex(X1,X2),c_List_Olist_ONil,X3),tc_List_Olist(X2),tc_List_Olist(X2)),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_4009,i_0_3663,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_4016,i_0_3910,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404]) ).

cnf(i_0_4209,plain,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_append(c_List_Olex(X3,X2),c_List_Olist_ONil,X4),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_4009]) ).

cnf(i_0_4210,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_1404]) ).

cnf(i_0_4211,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_4009,i_0_3663,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555]) ).

cnf(i_0_4212,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_3910]) ).

cnf(i_0_4213,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_1555]) ).

cnf(i_0_4214,plain,
    c_in(c_Zorn_Osucc(X1,c_Union(c_emptyset,tc_set(X2)),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(scs_inference,[],[i_0_4009,i_0_3663,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468]) ).

cnf(i_0_4215,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_4216,plain,
    c_in(c_Relation_Oconverse(c_Relation_Oconverse(c_union(c_List_Oset(X1,tc_prod(X2,X3)),c_List_Oset(X1,tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X3,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))),
    inference(scs_inference,[],[i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461]) ).

cnf(i_0_4217,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_1461]) ).

cnf(i_0_4218,plain,
    c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,c_Union(c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3967,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429]) ).

cnf(i_0_4219,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4220,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_1429]) ).

cnf(i_0_4221,plain,
    c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(c_Union(c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3967,i_0_4219,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430]) ).

cnf(i_0_4222,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4223,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_1430]) ).

cnf(i_0_4224,plain,
    c_in(X1,c_Pow(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_set(tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_3613,i_0_3967,i_0_4219,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537]) ).

cnf(i_0_4225,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_4226,plain,
    c_lessequals(v_m,c_Union(c_Union(c_UNIV,tc_set(tc_set(t_a))),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536]) ).

cnf(i_0_4227,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_4228,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,tc_prod(X5,X6))),X7,X4,tc_prod(X5,X6)),X8,X5,X6),X6),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380]) ).

cnf(i_0_4229,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X6,X4,X5),X5),
    inference(rename_variables,[],[i_0_3616]) ).

cnf(i_0_4230,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_1380]) ).

cnf(i_0_4231,plain,
    c_in(X1,c_Relation_ODomain(c_Union(c_Finite__Set_OFinites,tc_prod(X2,X3)),X2,X3),X2),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419]) ).

cnf(i_0_4232,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4233,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_1419]) ).

cnf(i_0_4234,plain,
    c_in(X1,c_Relation_ORange(c_Union(c_Finite__Set_OFinites,tc_prod(X2,X3)),X2,X3),X3),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420]) ).

cnf(i_0_4235,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4236,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_1420]) ).

cnf(i_0_4237,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Union(c_Finite__Set_OFinites,tc_prod(X2,X2)),X2),tc_prod(X2,X2)),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517]) ).

cnf(i_0_4238,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4239,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_4240,plain,
    c_in(X1,c_Inter(c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,tc_set(X5))),X6,X4,tc_set(X5)),X5),X5),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504]) ).

cnf(i_0_4241,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X6,X4,X5),X5),
    inference(rename_variables,[],[i_0_3616]) ).

cnf(i_0_4242,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_1504]) ).

cnf(i_0_4243,plain,
    c_lessequals(X1,c_Union(c_Finite__Set_OFinites,X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487]) ).

cnf(i_0_4244,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4245,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_4246,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Union(c_Finite__Set_OFinites,tc_prod(X4,X3)),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412]) ).

cnf(i_0_4247,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4248,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_1412]) ).

cnf(i_0_4249,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Union(c_Finite__Set_OFinites,tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416]) ).

cnf(i_0_4250,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4251,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_1416]) ).

cnf(i_0_4252,plain,
    c_in(X1,c_List_Olists(c_Union(c_Finite__Set_OFinites,X2),X2),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474]) ).

cnf(i_0_4253,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4254,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_1474]) ).

cnf(i_0_4255,plain,
    c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1) = c_Union(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(X1)),X1),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4009,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731]) ).

cnf(i_0_4256,plain,
    c_in(c_Main_OusumE__1(c_Finite__Set_OFinites,c_Datatype__Universe_OIn0(c_emptyset,X1,X2),X1,X2),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_3613,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4009,i_0_3055,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393]) ).

cnf(i_0_4257,plain,
    c_in(c_Datatype__Universe_OIn0(c_emptyset,X1,X2),c_Datatype__Universe_Ousum(c_Finite__Set_OFinites,X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(rename_variables,[],[i_0_3918]) ).

cnf(i_0_4258,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_4259,plain,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | 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))) ),
    inference(rename_variables,[],[i_0_1393]) ).

cnf(i_0_4260,plain,
    c_in(c_Datatype__Universe_OScons(X1,c_Datatype__Universe_OScons(X2,X2,X3,X4),X3,X4),c_Datatype__Universe_Ouprod(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))),
    inference(scs_inference,[],[i_0_3613,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4009,i_0_3055,i_0_3080,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417]) ).

cnf(i_0_4261,plain,
    c_in(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_3044]) ).

cnf(i_0_4262,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_1417]) ).

cnf(i_0_4263,plain,
    c_in(X1,c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),X2)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3055,i_0_3080,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414]) ).

cnf(i_0_4264,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4265,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_1414]) ).

cnf(i_0_4266,plain,
    c_List_Olists(c_UNIV,X1) = c_UNIV,
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3055,i_0_3080,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529]) ).

cnf(i_0_4267,plain,
    c_lessequals(X1,c_List_Olists(c_UNIV,X2),tc_set(tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_3613]) ).

cnf(i_0_4268,plain,
    c_lessequals(X1,c_UNIV,tc_set(X2)),
    inference(rename_variables,[],[i_0_2941]) ).

cnf(i_0_4269,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_4270,plain,
    c_in(X1,c_Union(c_Pow(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(X2)),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3055,i_0_3080,i_0_1652,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498]) ).

cnf(i_0_4271,plain,
    c_in(X1,c_UNIV,X2),
    inference(rename_variables,[],[i_0_1652]) ).

cnf(i_0_4272,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_1498]) ).

cnf(i_0_4273,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_emptyset,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471]) ).

cnf(i_0_4274,plain,
    c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_1640]) ).

cnf(i_0_4275,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_1471]) ).

cnf(i_0_4276,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_List_Olist_ONil,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),X1),c_append(c_List_Olist_ONil,tc_set(tc_set(t_a)),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1643,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880]) ).

cnf(i_0_4277,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4278,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_append(c_List_Olist_ONil,c_List_Olex(X4,X2),X5),c_append(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil,X6)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814]) ).

cnf(i_0_4279,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4280,plain,
    class_Orderings_Oord(c_append(c_append(c_List_Olist_ONil,tc_set(X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818]) ).

cnf(i_0_4281,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4282,plain,
    class_Finite__Set_Ofinite(c_append(c_append(c_List_Olist_ONil,tc_bool,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819]) ).

cnf(i_0_4283,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4284,plain,
    class_Nat_Opower(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822]) ).

cnf(i_0_4285,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4286,plain,
    class_Numeral_Onumber(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3834,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888]) ).

cnf(i_0_4287,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4288,plain,
    class_HOL_Ozero(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3834,i_0_3836,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893]) ).

cnf(i_0_4289,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4290,plain,
    class_HOL_Otimes(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3834,i_0_3836,i_0_3838,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899]) ).

cnf(i_0_4291,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4292,plain,
    class_HOL_Oplus(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900]) ).

cnf(i_0_4293,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4294,plain,
    class_HOL_Oone(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_4295,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4296,plain,
    class_HOL_Ominus(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_4297,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4298,plain,
    class_Parity_Oeven__odd(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904]) ).

cnf(i_0_4299,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4300,plain,
    class_Divides_Odiv(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_1643,i_0_4277,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905]) ).

cnf(i_0_4301,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4302,plain,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_append(c_List_Olex(X3,X2),c_List_Olist_ONil,X4),c_append(c_List_Olist_ONil,tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),X5)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_1643,i_0_4277,i_0_4279,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815]) ).

cnf(i_0_4303,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4304,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_List_Olist_ONil,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),X1),c_append(c_List_Olist_ONil,tc_set(tc_set(t_a)),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867]) ).

cnf(i_0_4305,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4306,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896]) ).

cnf(i_0_4307,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4308,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),X4),c_List_Olex(X5,X2),c_append(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil,X6)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813]) ).

cnf(i_0_4309,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4310,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3434,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849]) ).

cnf(i_0_4311,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4312,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886]) ).

cnf(i_0_4313,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4314,plain,
    class_Orderings_Oorder(c_append(tc_nat,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906]) ).

cnf(i_0_4315,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4316,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_List_Olist_ONil,c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X1),X2),X2),X3),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816]) ).

cnf(i_0_4317,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4318,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X1),X2),X2),c_append(c_List_Olist_ONil,tc_List_Olist(X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817]) ).

cnf(i_0_4319,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4320,plain,
    ~ c_less(c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3),c_append(c_List_Olist_ONil,c_Datatype__Universe_OIn1(X1,X2,X3),X4),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_3080,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865]) ).

cnf(i_0_4321,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,X1,X2),tc_nat),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_4322,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_append(c_Sum__Type_OInl(X4,X3,X2),c_List_Olist_ONil,X5),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732]) ).

cnf(i_0_4323,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_4324,plain,
    ~ c_less(c_append(c_Datatype__Universe_OIn1(X1,X2,X3),c_List_Olist_ONil,X4),c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3),c_append(c_List_Olist_ONil,tc_nat,X5)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866]) ).

cnf(i_0_4325,plain,
    ~ c_less(c_append(X1,c_List_Olist_ONil,X2),X1,c_append(c_List_Olist_ONil,tc_nat,X3)),
    inference(rename_variables,[],[i_0_3711]) ).

cnf(i_0_4326,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827]) ).

cnf(i_0_4327,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4328,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870]) ).

cnf(i_0_4329,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4330,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887]) ).

cnf(i_0_4331,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4332,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889]) ).

cnf(i_0_4333,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4334,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894]) ).

cnf(i_0_4335,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4336,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897]) ).

cnf(i_0_4337,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4338,plain,
    class_LOrder_Omeet__semilorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898]) ).

cnf(i_0_4339,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4340,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3454,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862]) ).

cnf(i_0_4341,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4342,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3454,i_0_3504,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890]) ).

cnf(i_0_4343,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4344,plain,
    class_LOrder_Olorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895]) ).

cnf(i_0_4345,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4346,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3492,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884]) ).

cnf(i_0_4347,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4348,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885]) ).

cnf(i_0_4349,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4350,plain,
    class_Orderings_Olinorder(c_append(tc_nat,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_2722,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903]) ).

cnf(i_0_4351,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4352,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_2722,i_0_3424,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844]) ).

cnf(i_0_4353,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4354,plain,
    class_Ring__and__Field_Osemiring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_2722,i_0_3424,i_0_3468,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869]) ).

cnf(i_0_4355,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4356,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882]) ).

cnf(i_0_4357,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4358,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848]) ).

cnf(i_0_4359,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4360,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3466,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868]) ).

cnf(i_0_4361,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4362,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3466,i_0_3486,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881]) ).

cnf(i_0_4363,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4364,plain,
    class_OrderedGroup_Oab__group__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883]) ).

cnf(i_0_4365,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4366,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877]) ).

cnf(i_0_4367,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4368,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3430,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847]) ).

cnf(i_0_4369,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4370,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864]) ).

cnf(i_0_4371,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4372,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3446,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858]) ).

cnf(i_0_4373,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4374,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861]) ).

cnf(i_0_4375,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4376,plain,
    class_Ring__and__Field_Oring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3456,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863]) ).

cnf(i_0_4377,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4378,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3456,i_0_3480,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875]) ).

cnf(i_0_4379,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4380,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876]) ).

cnf(i_0_4381,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4382,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846]) ).

cnf(i_0_4383,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4384,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3416,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838]) ).

cnf(i_0_4385,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4386,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3416,i_0_3444,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857]) ).

cnf(i_0_4387,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4388,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860]) ).

cnf(i_0_4389,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4390,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843]) ).

cnf(i_0_4391,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4392,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874]) ).

cnf(i_0_4393,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4394,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3426,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845]) ).

cnf(i_0_4395,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4396,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3426,i_0_3472,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871]) ).

cnf(i_0_4397,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4398,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3426,i_0_3472,i_0_3474,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872]) ).

cnf(i_0_4399,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4400,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873]) ).

cnf(i_0_4401,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4402,plain,
    class_Ring__and__Field_Oring__1(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859]) ).

cnf(i_0_4403,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4404,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837]) ).

cnf(i_0_4405,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4406,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3420,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842]) ).

cnf(i_0_4407,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4408,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855]) ).

cnf(i_0_4409,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4410,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856]) ).

cnf(i_0_4411,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4412,plain,
    class_Power_Orecpower(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831]) ).

cnf(i_0_4413,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4414,plain,
    class_Numeral_Onumber__ring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832]) ).

cnf(i_0_4415,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4416,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839]) ).

cnf(i_0_4417,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4418,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836]) ).

cnf(i_0_4419,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4420,plain,
    class_Ring__and__Field_Oidom(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3408,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834]) ).

cnf(i_0_4421,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4422,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851]) ).

cnf(i_0_4423,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4424,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850]) ).

cnf(i_0_4425,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4426,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835]) ).

cnf(i_0_4427,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4428,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833]) ).

cnf(i_0_4429,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4430,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Union(c_Finite__Set_OFinites,X1),X1),tc_List_Olist(X1)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527]) ).

cnf(i_0_4431,plain,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_1621]) ).

cnf(i_0_4432,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_4433,plain,
    class_Orderings_Olinorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571]) ).

cnf(i_0_4434,plain,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2571]) ).

cnf(i_0_4435,plain,
    class_Orderings_Oorder(c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581]) ).

cnf(i_0_4436,plain,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2581]) ).

cnf(i_0_4437,plain,
    class_LOrder_Ojoin__semilorder(c_append(tc_nat,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056]) ).

cnf(i_0_4438,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_4439,plain,
    class_LOrder_Omeet__semilorder(c_append(tc_nat,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071]) ).

cnf(i_0_4440,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2071]) ).

cnf(i_0_4441,plain,
    c_in(c_Main_OuprodE__2(c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X1,X2),c_Datatype__Universe_OScons(X3,c_Datatype__Universe_OScons(X4,X4,X1,X2),X1,X2),X1,X2),c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071,i_0_1387]) ).

cnf(i_0_4442,plain,
    ( ~ c_in(X1,c_Datatype__Universe_Ouprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | c_in(c_Main_OuprodE__2(X2,X3,X1,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ),
    inference(rename_variables,[],[i_0_1387]) ).

cnf(i_0_4443,plain,
    class_Orderings_Oord(c_append(tc_nat,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071,i_0_1387,i_0_2565]) ).

cnf(i_0_4444,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2565]) ).

cnf(i_0_4445,plain,
    class_LOrder_Olorder(c_append(tc_nat,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071,i_0_1387,i_0_2565,i_0_2041]) ).

cnf(i_0_4446,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2041]) ).

cnf(i_0_4447,plain,
    c_in(X1,c_Main_OUnionE__1(X1,c_Pow(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(X2)),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071,i_0_1387,i_0_2565,i_0_2041,i_0_1493]) ).

cnf(i_0_4448,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_4449,plain,
    ( ~ c_in(c_Main_Ofinite__Union__1(c_inter(X1,c_union(c_List_Oset(X2,tc_set(X3)),c_List_Oset(X2,tc_set(X3)),tc_set(X3)),tc_set(X3)),X3),c_Finite__Set_OFinites,tc_set(X3))
    | c_in(c_Union(c_inter(X1,c_union(c_List_Oset(X2,tc_set(X3)),c_List_Oset(X2,tc_set(X3)),tc_set(X3)),tc_set(X3)),X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_3331,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071,i_0_1387,i_0_2565,i_0_2041,i_0_1493,i_0_1479]) ).

cnf(i_0_4450,plain,
    c_in(c_inter(X1,c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(rename_variables,[],[i_0_3331]) ).

cnf(i_0_4451,plain,
    ( ~ 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))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1479]) ).

cnf(i_0_4452,plain,
    ( c_in(c_Main_Ofinite__Union__1(c_insert(X1,c_List_Oset(X2,tc_set(X3)),tc_set(X3)),X3),c_insert(X1,c_List_Oset(X2,tc_set(X3)),tc_set(X3)),tc_set(X3))
    | c_in(c_Union(c_insert(X1,c_List_Oset(X2,tc_set(X3)),tc_set(X3)),X3),c_Finite__Set_OFinites,tc_set(X3)) ),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_3331,i_0_3014,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071,i_0_1387,i_0_2565,i_0_2041,i_0_1493,i_0_1479,i_0_1494]) ).

cnf(i_0_4453,plain,
    c_in(c_insert(X1,c_List_Oset(X2,X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(rename_variables,[],[i_0_3014]) ).

cnf(i_0_4454,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_1494]) ).

cnf(i_0_4455,plain,
    ( c_in(X1,c_Union(c_Union(c_UNIV,tc_set(tc_set(t_a))),tc_set(t_a)),tc_set(t_a))
    | ~ c_in(X1,v_m,tc_set(t_a)) ),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_3331,i_0_3014,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071,i_0_1387,i_0_2565,i_0_2041,i_0_1493,i_0_1479,i_0_1494,i_0_1514]) ).

cnf(i_0_4456,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_1514]) ).

cnf(i_0_4457,plain,
    ( c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1) != c_Zorn_Osucc(X2,c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1),t_a)
    | ~ c_in(c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1),c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Zorn_OTFin(X2,t_a),tc_set(tc_set(t_a))) ),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_3613,i_0_3388,i_0_3061,i_0_3635,i_0_3044,i_0_4132,i_0_3047,i_0_3967,i_0_4219,i_0_4222,i_0_4232,i_0_4235,i_0_4238,i_0_4244,i_0_4247,i_0_4250,i_0_4253,i_0_4009,i_0_4209,i_0_3536,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_2722,i_0_3424,i_0_3468,i_0_3488,i_0_3492,i_0_3494,i_0_3454,i_0_3504,i_0_3510,i_0_3084,i_0_1557,i_0_3080,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_1652,i_0_1640,i_0_3360,i_0_3434,i_0_3496,i_0_3663,i_0_3320,i_0_1646,i_0_4281,i_0_4283,i_0_4285,i_0_4287,i_0_4289,i_0_4291,i_0_4293,i_0_4295,i_0_4297,i_0_4299,i_0_4301,i_0_4307,i_0_4311,i_0_4313,i_0_4315,i_0_4327,i_0_4329,i_0_4331,i_0_4333,i_0_4335,i_0_4337,i_0_4339,i_0_4341,i_0_4343,i_0_4345,i_0_4347,i_0_4349,i_0_4351,i_0_4353,i_0_4355,i_0_4357,i_0_4359,i_0_4361,i_0_4363,i_0_4365,i_0_4367,i_0_4369,i_0_4371,i_0_4373,i_0_4375,i_0_4377,i_0_4379,i_0_4381,i_0_4383,i_0_4385,i_0_4387,i_0_4389,i_0_4391,i_0_4393,i_0_4395,i_0_4397,i_0_4399,i_0_4401,i_0_4403,i_0_4405,i_0_4407,i_0_4409,i_0_4411,i_0_4413,i_0_4415,i_0_4417,i_0_4419,i_0_4421,i_0_4423,i_0_4425,i_0_4427,i_0_2724,i_0_1643,i_0_4277,i_0_4279,i_0_4303,i_0_4305,i_0_4309,i_0_4317,i_0_3616,i_0_4206,i_0_4229,i_0_3532,i_0_3213,i_0_3163,i_0_1644,i_0_3275,i_0_4197,i_0_4200,i_0_3326,i_0_3918,i_0_3971,i_0_3711,i_0_4151,i_0_3331,i_0_3014,i_0_4016,i_0_3097,i_0_3229,i_0_3231,i_0_1621,i_0_1615,i_0_3834,i_0_3836,i_0_3838,i_0_3840,i_0_3842,i_0_3844,i_0_3846,i_0_3910,i_0_4192,i_0_1651,i_0_1499,i_0_1500,i_0_1501,i_0_1624,i_0_1635,i_0_1365,i_0_1366,i_0_1390,i_0_1403,i_0_1404,i_0_1555,i_0_1468,i_0_1461,i_0_1429,i_0_1430,i_0_1537,i_0_1536,i_0_1380,i_0_1419,i_0_1420,i_0_1517,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1417,i_0_1414,i_0_1529,i_0_1498,i_0_1471,i_0_2880,i_0_2814,i_0_2818,i_0_2819,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2904,i_0_2905,i_0_2815,i_0_2867,i_0_2896,i_0_2813,i_0_2849,i_0_2886,i_0_2906,i_0_2816,i_0_2817,i_0_2865,i_0_2732,i_0_2866,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2862,i_0_2890,i_0_2895,i_0_2884,i_0_2885,i_0_2903,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2832,i_0_2839,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2571,i_0_2581,i_0_2056,i_0_2071,i_0_1387,i_0_2565,i_0_2041,i_0_1493,i_0_1455]) ).

cnf(i_0_4458,plain,
    c_times(X1,c_uminus(c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_4211,i_0_1624]) ).

cnf(i_0_4459,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_4211]) ).

cnf(i_0_4460,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1624]) ).

cnf(i_0_4461,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,tc_prod(X6,X7))),X8,X5,tc_prod(X6,X7)),X6,X7),X6),
    inference(scs_inference,[],[i_0_3930,i_0_4211,i_0_1624,i_0_1404]) ).

cnf(i_0_4462,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X7,X5,X6),X6),
    inference(rename_variables,[],[i_0_3930]) ).

cnf(i_0_4463,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_1404]) ).

cnf(i_0_4464,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,c_uminus(c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3930,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555]) ).

cnf(i_0_4465,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_4211]) ).

cnf(i_0_4466,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_1555]) ).

cnf(i_0_4467,plain,
    c_in(c_inter(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),X2),X3,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_3375,i_0_3930,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499]) ).

cnf(i_0_4468,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_4469,plain,
    c_in(c_inter(X1,c_union(c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_3375,i_0_3930,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500]) ).

cnf(i_0_4470,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_4471,plain,
    c_in(c_insert(X1,c_union(c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_3375,i_0_3930,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_4472,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_1501]) ).

cnf(i_0_4473,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,tc_prod(X6,X7))),X8,X5,tc_prod(X6,X7)),X6,X7),X7),
    inference(scs_inference,[],[i_0_3375,i_0_3930,i_0_4462,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403]) ).

cnf(i_0_4474,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X7,X5,X6),X6),
    inference(rename_variables,[],[i_0_3930]) ).

cnf(i_0_4475,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_1403]) ).

cnf(i_0_4476,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6,X7),X6,X8,X7),tc_prod(X7,X8)),
    inference(scs_inference,[],[i_0_3375,i_0_3930,i_0_4462,i_0_3278,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365]) ).

cnf(i_0_4477,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),tc_prod(X6,X5)),
    inference(rename_variables,[],[i_0_3278]) ).

cnf(i_0_4478,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_1365]) ).

cnf(i_0_4479,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),X7,X6,X5,X8),tc_prod(X8,X5)),
    inference(scs_inference,[],[i_0_3375,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366]) ).

cnf(i_0_4480,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),tc_prod(X6,X5)),
    inference(rename_variables,[],[i_0_3278]) ).

cnf(i_0_4481,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_1366]) ).

cnf(i_0_4482,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),X6,X5),tc_prod(X5,X6)),
    inference(scs_inference,[],[i_0_3375,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390]) ).

cnf(i_0_4483,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),tc_prod(X6,X5)),
    inference(rename_variables,[],[i_0_3278]) ).

cnf(i_0_4484,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_1390]) ).

cnf(i_0_4485,plain,
    c_in(c_Datatype__Universe_OIn1(c_union(c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),c_Datatype__Universe_Ousum(X4,c_Finite__Set_OFinites,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3084,i_0_3375,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429]) ).

cnf(i_0_4486,plain,
    c_in(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_4487,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_1429]) ).

cnf(i_0_4488,plain,
    c_in(c_Datatype__Universe_OIn0(c_union(c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),c_Datatype__Universe_Ousum(c_Finite__Set_OFinites,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3084,i_0_4486,i_0_3375,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430]) ).

cnf(i_0_4489,plain,
    c_in(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_4490,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_1430]) ).

cnf(i_0_4491,plain,
    c_in(X1,c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),tc_set(X3)),
    inference(scs_inference,[],[i_0_3924,i_0_3084,i_0_4486,i_0_3375,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537]) ).

cnf(i_0_4492,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_4493,plain,
    c_lessequals(X1,X1,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X2),X3,X4),X3,X4)),
    inference(scs_inference,[],[i_0_3924,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635]) ).

cnf(i_0_4494,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_4495,plain,
    c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X1,c_Union(c_emptyset,tc_set(X2)),X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(scs_inference,[],[i_0_3924,i_0_4214,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468]) ).

cnf(i_0_4496,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_4497,plain,
    c_lessequals(X1,c_Union(c_Relation_OImage(c_Transitive__Closure_Otrancl(c_UNIV,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4214,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536]) ).

cnf(i_0_4498,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_4499,plain,
    c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),tc_prod(X2,X3))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X3)),X2,X3),X2),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4214,i_0_4263,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419]) ).

cnf(i_0_4500,plain,
    c_in(X1,c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),X2)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4263]) ).

cnf(i_0_4501,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_1419]) ).

cnf(i_0_4502,plain,
    c_in(X1,c_Relation_ORange(c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),tc_prod(X2,X3))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X3)),X2,X3),X3),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4214,i_0_4263,i_0_4500,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420]) ).

cnf(i_0_4503,plain,
    c_in(X1,c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),X2)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4263]) ).

cnf(i_0_4504,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_1420]) ).

cnf(i_0_4505,plain,
    c_in(c_Relation_Oconverse(c_union(c_emptyset,c_emptyset,tc_prod(X1,X2)),X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4214,i_0_4263,i_0_4500,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461]) ).

cnf(i_0_4506,plain,
    c_in(c_union(c_emptyset,c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_3975]) ).

cnf(i_0_4507,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_1461]) ).

cnf(i_0_4508,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),tc_prod(X2,X2))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X2)),X2),tc_prod(X2,X2)),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517]) ).

cnf(i_0_4509,plain,
    c_in(X1,c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),X2)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4263]) ).

cnf(i_0_4510,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_4511,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,tc_prod(X6,X7))),X8,X5,tc_prod(X6,X7)),X9,X6,X7),X7),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380]) ).

cnf(i_0_4512,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X7,X5,X6),X6),
    inference(rename_variables,[],[i_0_3930]) ).

cnf(i_0_4513,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_1380]) ).

cnf(i_0_4514,plain,
    c_in(X1,c_Inter(c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,tc_set(X6))),X7,X5,tc_set(X6)),X6),X6),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504]) ).

cnf(i_0_4515,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X7,X5,X6),X6),
    inference(rename_variables,[],[i_0_3930]) ).

cnf(i_0_4516,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_1504]) ).

cnf(i_0_4517,plain,
    c_lessequals(X1,c_Union(c_Pow(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(X2)),tc_set(tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4270,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487]) ).

cnf(i_0_4518,plain,
    c_in(X1,c_Union(c_Pow(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(X2)),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_4270]) ).

cnf(i_0_4519,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_4520,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),tc_prod(X4,X3))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X4,X3)),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4270,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412]) ).

cnf(i_0_4521,plain,
    c_in(X1,c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),X2)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4263]) ).

cnf(i_0_4522,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_1412]) ).

cnf(i_0_4523,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),tc_prod(X3,X3))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4270,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416]) ).

cnf(i_0_4524,plain,
    c_in(X1,c_Relation_OImage(c_Union(c_Finite__Set_OFinites,tc_prod(tc_set(tc_set(t_a)),X2)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4263]) ).

cnf(i_0_4525,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_1416]) ).

cnf(i_0_4526,plain,
    c_in(X1,c_List_Olists(c_Union(c_Pow(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(X2)),tc_List_Olist(X2)),tc_List_Olist(tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474]) ).

cnf(i_0_4527,plain,
    c_in(X1,c_Union(c_Pow(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(X2)),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_4270]) ).

cnf(i_0_4528,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_1474]) ).

cnf(i_0_4529,plain,
    c_0 = c_times(X1,c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731]) ).

cnf(i_0_4530,plain,
    c_in(c_Main_OusumE__2(c_Finite__Set_OFinites,c_Datatype__Universe_OIn1(c_union(c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3924,i_0_3964,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393]) ).

cnf(i_0_4531,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_4532,plain,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | 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))) ),
    inference(rename_variables,[],[i_0_1393]) ).

cnf(i_0_4533,plain,
    c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X1),X2) = c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),
    inference(scs_inference,[],[i_0_3267,i_0_3924,i_0_3964,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529]) ).

cnf(i_0_4534,plain,
    c_lessequals(X1,c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),tc_set(X3)),
    inference(rename_variables,[],[i_0_3924]) ).

cnf(i_0_4535,plain,
    c_lessequals(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),tc_set(X2)),
    inference(rename_variables,[],[i_0_3267]) ).

cnf(i_0_4536,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_4537,plain,
    c_in(v_m,c_Relation_OImage(c_Relation_OId,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_1446,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414]) ).

cnf(i_0_4538,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_1446]) ).

cnf(i_0_4539,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_1414]) ).

cnf(i_0_4540,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_union(c_union(c_List_Oset(X3,X2),c_List_Oset(X3,X2),X2),c_union(c_List_Oset(X3,X2),c_List_Oset(X3,X2),X2),X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471]) ).

cnf(i_0_4541,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3375]) ).

cnf(i_0_4542,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_1471]) ).

cnf(i_0_4543,plain,
    c_in(X1,c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),X3),X3),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498]) ).

cnf(i_0_4544,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_1498]) ).

cnf(i_0_4545,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_set(X1),X2),c_List_Olist_ONil,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818]) ).

cnf(i_0_4546,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4547,plain,
    class_Finite__Set_Ofinite(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_bool,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4282,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819]) ).

cnf(i_0_4548,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4549,plain,
    class_Parity_Oeven__odd(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4282,i_0_4298,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904]) ).

cnf(i_0_4550,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4551,plain,
    class_Divides_Odiv(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_3553,i_0_3975,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905]) ).

cnf(i_0_4552,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4553,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_append(c_List_Olist_ONil,c_List_Olex(X4,X2),X5),c_append(c_List_Olist_ONil,tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),X6)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_3553,i_0_3975,i_0_1643,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814]) ).

cnf(i_0_4554,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4555,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),X4),c_List_Olex(X5,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815]) ).

cnf(i_0_4556,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),X4),c_List_Olex(X5,X2),c_append(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil,X6)),
    inference(rename_variables,[],[i_0_4308]) ).

cnf(i_0_4557,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4558,plain,
    class_Nat_Opower(c_append(c_List_Olist_ONil,c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822]) ).

cnf(i_0_4559,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4560,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,X1,X2),c_append(c_List_Olist_ONil,tc_nat,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867]) ).

cnf(i_0_4561,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4562,plain,
    class_Numeral_Onumber(c_append(c_List_Olist_ONil,c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888]) ).

cnf(i_0_4563,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4564,plain,
    class_HOL_Ozero(c_append(c_List_Olist_ONil,c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893]) ).

cnf(i_0_4565,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4566,plain,
    class_HOL_Otimes(c_append(c_List_Olist_ONil,c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899]) ).

cnf(i_0_4567,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4568,plain,
    class_HOL_Oplus(c_append(c_List_Olist_ONil,c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900]) ).

cnf(i_0_4569,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4570,plain,
    class_HOL_Oone(c_append(c_List_Olist_ONil,c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_4571,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4572,plain,
    class_HOL_Ominus(c_append(c_List_Olist_ONil,c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_3553,i_0_3975,i_0_1646,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_4573,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4574,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_append(c_List_Olist_ONil,c_List_Olex(X4,X2),X5),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813]) ).

cnf(i_0_4575,plain,
    ~ c_in(c_append(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_List_Olist_ONil,X4),c_append(c_List_Olist_ONil,c_List_Olex(X5,X2),X6),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_3669]) ).

cnf(i_0_4576,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_4577,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906]) ).

cnf(i_0_4578,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4579,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_List_Olist_ONil,c_List_Olists(c_Union(c_Finite__Set_OFinites,X1),X1),X2),tc_List_Olist(X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816]) ).

cnf(i_0_4580,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4581,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Union(c_Finite__Set_OFinites,X1),X1),c_append(c_List_Olist_ONil,tc_List_Olist(X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817]) ).

cnf(i_0_4582,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4583,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_3434,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849]) ).

cnf(i_0_4584,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4585,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886]) ).

cnf(i_0_4586,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4587,plain,
    ~ c_less(c_Datatype__Universe_OIn1(X1,X2,X3),c_append(c_List_Olist_ONil,c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3),X4),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865]) ).

cnf(i_0_4588,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,X1,X2),tc_nat),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_4589,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896]) ).

cnf(i_0_4590,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4591,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3400,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827]) ).

cnf(i_0_4592,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4593,plain,
    ~ c_less(c_append(c_List_Olist_ONil,c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3),X4),c_Datatype__Universe_OIn1(X1,X2,X3),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3400,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866]) ).

cnf(i_0_4594,plain,
    ~ c_less(c_append(c_List_Olist_ONil,X1,X2),X1,tc_nat),
    inference(rename_variables,[],[i_0_3161]) ).

cnf(i_0_4595,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3400,i_0_3470,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870]) ).

cnf(i_0_4596,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4597,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887]) ).

cnf(i_0_4598,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4599,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889]) ).

cnf(i_0_4600,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4601,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894]) ).

cnf(i_0_4602,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4603,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897]) ).

cnf(i_0_4604,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4605,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898]) ).

cnf(i_0_4606,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4607,plain,
    c_Datatype__Universe_OIn1(X1,X2,X3) != c_append(c_Datatype__Universe_OIn0(X4,X2,X3),c_List_Olist_ONil,X5),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732]) ).

cnf(i_0_4608,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_4609,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862]) ).

cnf(i_0_4610,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4611,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890]) ).

cnf(i_0_4612,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4613,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895]) ).

cnf(i_0_4614,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4615,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3247,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903]) ).

cnf(i_0_4616,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4617,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3247,i_0_3492,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884]) ).

cnf(i_0_4618,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4619,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885]) ).

cnf(i_0_4620,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4621,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3424,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844]) ).

cnf(i_0_4622,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4623,plain,
    class_Ring__and__Field_Osemiring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3424,i_0_3468,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869]) ).

cnf(i_0_4624,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4625,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882]) ).

cnf(i_0_4626,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4627,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848]) ).

cnf(i_0_4628,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4629,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3466,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868]) ).

cnf(i_0_4630,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4631,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3466,i_0_3486,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881]) ).

cnf(i_0_4632,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4633,plain,
    class_OrderedGroup_Oab__group__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883]) ).

cnf(i_0_4634,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4635,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877]) ).

cnf(i_0_4636,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4637,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3430,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847]) ).

cnf(i_0_4638,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4639,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864]) ).

cnf(i_0_4640,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4641,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3446,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858]) ).

cnf(i_0_4642,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4643,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861]) ).

cnf(i_0_4644,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4645,plain,
    class_Ring__and__Field_Oring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3456,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863]) ).

cnf(i_0_4646,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4647,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3456,i_0_3480,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875]) ).

cnf(i_0_4648,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4649,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876]) ).

cnf(i_0_4650,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4651,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846]) ).

cnf(i_0_4652,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4653,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3416,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838]) ).

cnf(i_0_4654,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4655,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3416,i_0_3444,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857]) ).

cnf(i_0_4656,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4657,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860]) ).

cnf(i_0_4658,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4659,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843]) ).

cnf(i_0_4660,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4661,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874]) ).

cnf(i_0_4662,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4663,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3426,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845]) ).

cnf(i_0_4664,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4665,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3426,i_0_3472,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871]) ).

cnf(i_0_4666,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4667,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3426,i_0_3472,i_0_3474,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872]) ).

cnf(i_0_4668,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4669,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873]) ).

cnf(i_0_4670,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4671,plain,
    class_Ring__and__Field_Oring__1(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859]) ).

cnf(i_0_4672,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4673,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837]) ).

cnf(i_0_4674,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4675,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3420,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842]) ).

cnf(i_0_4676,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4677,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855]) ).

cnf(i_0_4678,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4679,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856]) ).

cnf(i_0_4680,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4681,plain,
    class_Power_Orecpower(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831]) ).

cnf(i_0_4682,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4683,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3418,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839]) ).

cnf(i_0_4684,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4685,plain,
    class_Numeral_Onumber__ring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832]) ).

cnf(i_0_4686,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4687,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836]) ).

cnf(i_0_4688,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4689,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851]) ).

cnf(i_0_4690,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4691,plain,
    class_Ring__and__Field_Oidom(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834]) ).

cnf(i_0_4692,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4693,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850]) ).

cnf(i_0_4694,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4695,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835]) ).

cnf(i_0_4696,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4697,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833]) ).

cnf(i_0_4698,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4699,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Union(c_Pow(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),tc_List_Olist(X1)),tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527]) ).

cnf(i_0_4700,plain,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_1621]) ).

cnf(i_0_4701,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_4702,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544]) ).

cnf(i_0_4703,plain,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2544]) ).

cnf(i_0_4704,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582]) ).

cnf(i_0_4705,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2582]) ).

cnf(i_0_4706,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2,X3),X2,X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570]) ).

cnf(i_0_4707,plain,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2570]) ).

cnf(i_0_4708,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570,i_0_2056]) ).

cnf(i_0_4709,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_4710,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570,i_0_2056,i_0_2071]) ).

cnf(i_0_4711,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2071]) ).

cnf(i_0_4712,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570,i_0_2056,i_0_2071,i_0_2566]) ).

cnf(i_0_4713,plain,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2566]) ).

cnf(i_0_4714,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570,i_0_2056,i_0_2071,i_0_2566,i_0_2041]) ).

cnf(i_0_4715,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2041]) ).

cnf(i_0_4716,plain,
    c_in(c_Main_OImageE__1(c_Zorn_OTFin(v_S,t_a),v_m,c_Relation_OId,tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570,i_0_2056,i_0_2071,i_0_2566,i_0_2041,i_0_1389]) ).

cnf(i_0_4717,plain,
    ( ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4) ),
    inference(rename_variables,[],[i_0_1389]) ).

cnf(i_0_4718,plain,
    c_in(X1,c_Main_OUnionE__1(X1,c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),X3),X3),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570,i_0_2056,i_0_2071,i_0_2566,i_0_2041,i_0_1389,i_0_1493]) ).

cnf(i_0_4719,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_4720,plain,
    ( ~ c_in(c_Main_Ofinite__Union__1(c_union(c_emptyset,c_emptyset,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
    | c_in(c_Union(c_union(c_emptyset,c_emptyset,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1)) ),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_4506,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570,i_0_2056,i_0_2071,i_0_2566,i_0_2041,i_0_1389,i_0_1493,i_0_1479]) ).

cnf(i_0_4721,plain,
    c_in(c_union(c_emptyset,c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_3975]) ).

cnf(i_0_4722,plain,
    ( ~ 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))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1479]) ).

cnf(i_0_4723,plain,
    ( c_in(c_Main_Ofinite__Union__1(c_union(c_emptyset,c_emptyset,tc_set(X1)),X1),c_union(c_emptyset,c_emptyset,tc_set(X1)),tc_set(X1))
    | c_in(c_Union(c_union(c_emptyset,c_emptyset,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1)) ),
    inference(scs_inference,[],[i_0_1619,i_0_3267,i_0_3924,i_0_3964,i_0_3044,i_0_4270,i_0_4518,i_0_4214,i_0_4263,i_0_4500,i_0_4503,i_0_4509,i_0_4521,i_0_4430,i_0_3701,i_0_3669,i_0_4308,i_0_3055,i_0_3406,i_0_3410,i_0_3436,i_0_3408,i_0_3438,i_0_3412,i_0_3418,i_0_3404,i_0_3402,i_0_3442,i_0_3420,i_0_3440,i_0_3414,i_0_3448,i_0_3426,i_0_3472,i_0_3474,i_0_3476,i_0_3478,i_0_3422,i_0_3416,i_0_3444,i_0_3450,i_0_3428,i_0_3456,i_0_3480,i_0_3482,i_0_3446,i_0_3452,i_0_3430,i_0_3458,i_0_3484,i_0_3466,i_0_3486,i_0_3490,i_0_3432,i_0_3424,i_0_3468,i_0_3488,i_0_3247,i_0_3492,i_0_3494,i_0_3510,i_0_3084,i_0_4486,i_0_4489,i_0_3454,i_0_3504,i_0_1446,i_0_1561,i_0_3213,i_0_3400,i_0_3470,i_0_3498,i_0_3502,i_0_3508,i_0_3514,i_0_3516,i_0_3375,i_0_3069,i_0_3434,i_0_3496,i_0_3249,i_0_1645,i_0_4546,i_0_4548,i_0_4550,i_0_4552,i_0_4559,i_0_4563,i_0_4565,i_0_4567,i_0_4569,i_0_4571,i_0_4573,i_0_4578,i_0_4584,i_0_4586,i_0_4590,i_0_4592,i_0_4596,i_0_4598,i_0_4600,i_0_4602,i_0_4604,i_0_4606,i_0_4610,i_0_4612,i_0_4614,i_0_4616,i_0_4618,i_0_4620,i_0_4622,i_0_4624,i_0_4626,i_0_4628,i_0_4630,i_0_4632,i_0_4634,i_0_4636,i_0_4638,i_0_4640,i_0_4642,i_0_4644,i_0_4646,i_0_4648,i_0_4650,i_0_4652,i_0_4654,i_0_4656,i_0_4658,i_0_4660,i_0_4662,i_0_4664,i_0_4666,i_0_4668,i_0_4670,i_0_4672,i_0_4674,i_0_4676,i_0_4678,i_0_4680,i_0_4682,i_0_4684,i_0_4686,i_0_4688,i_0_4690,i_0_4692,i_0_4694,i_0_4696,i_0_3553,i_0_3975,i_0_4506,i_0_4721,i_0_1646,i_0_4557,i_0_1643,i_0_4554,i_0_4561,i_0_4580,i_0_3930,i_0_4462,i_0_4474,i_0_4512,i_0_3163,i_0_1644,i_0_3278,i_0_4477,i_0_4480,i_0_4280,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3161,i_0_4191,i_0_1621,i_0_1615,i_0_4211,i_0_4459,i_0_1624,i_0_1404,i_0_1555,i_0_1499,i_0_1500,i_0_1501,i_0_1403,i_0_1365,i_0_1366,i_0_1390,i_0_1429,i_0_1430,i_0_1537,i_0_1635,i_0_1468,i_0_1536,i_0_1419,i_0_1420,i_0_1461,i_0_1517,i_0_1380,i_0_1504,i_0_1487,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2815,i_0_2822,i_0_2867,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2906,i_0_2816,i_0_2817,i_0_2849,i_0_2886,i_0_2865,i_0_2896,i_0_2827,i_0_2866,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2890,i_0_2895,i_0_2903,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2845,i_0_2871,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2544,i_0_2582,i_0_2570,i_0_2056,i_0_2071,i_0_2566,i_0_2041,i_0_1389,i_0_1493,i_0_1479,i_0_1494]) ).

cnf(i_0_4724,plain,
    c_in(c_union(c_emptyset,c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_3975]) ).

cnf(i_0_4725,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_1494]) ).

cnf(i_0_4727,plain,
    c_times(X1,c_uminus(c_uminus(c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_4464,i_0_1624]) ).

cnf(i_0_4728,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,c_uminus(c_uminus(c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_4464]) ).

cnf(i_0_4729,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1624]) ).

cnf(i_0_4730,plain,
    c_in(c_inter(c_Relation_Oconverse(c_union(c_List_Oset(X1,tc_prod(X2,X3)),c_List_Oset(X1,tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X4,tc_prod(X3,X2)),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))),
    inference(scs_inference,[],[i_0_3320,i_0_4464,i_0_1624,i_0_1499]) ).

cnf(i_0_4731,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_4732,plain,
    c_in(c_inter(X1,c_Relation_Oconverse(c_union(c_List_Oset(X2,tc_prod(X3,X4)),c_List_Oset(X2,tc_prod(X3,X4)),tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3)),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X3))),
    inference(scs_inference,[],[i_0_3320,i_0_4464,i_0_1624,i_0_1499,i_0_1500]) ).

cnf(i_0_4733,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_4734,plain,
    c_in(c_insert(X1,c_Relation_Oconverse(c_union(c_List_Oset(X2,tc_prod(X3,X4)),c_List_Oset(X2,tc_prod(X3,X4)),tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3)),c_Finite__Set_OFinites,tc_set(tc_prod(X4,X3))),
    inference(scs_inference,[],[i_0_3320,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_4735,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_1501]) ).

cnf(i_0_4736,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,tc_prod(X5,X6))),X7,X4,tc_prod(X5,X6)),X5,X6),X5),
    inference(scs_inference,[],[i_0_3320,i_0_3616,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404]) ).

cnf(i_0_4737,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X6,X4,X5),X5),
    inference(rename_variables,[],[i_0_3616]) ).

cnf(i_0_4738,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_1404]) ).

cnf(i_0_4739,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,c_append(c_List_Olist_ONil,c_emptyset,X4),X5,X6,X7),X6,X8,X7),X7,X8),X8),
    inference(scs_inference,[],[i_0_3320,i_0_3616,i_0_4196,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403]) ).

cnf(i_0_4740,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,c_append(c_List_Olist_ONil,c_emptyset,X4),X5,X6,X7),X6,X8,X7),tc_prod(X7,X8)),
    inference(rename_variables,[],[i_0_4196]) ).

cnf(i_0_4741,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_1403]) ).

cnf(i_0_4742,plain,
    c_in(c_Datatype__Universe_OIn1(c_Datatype__Universe_OScons(X1,X1,X2,X3),X2,X3),c_Datatype__Universe_Ousum(X4,c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429]) ).

cnf(i_0_4743,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_1429]) ).

cnf(i_0_4744,plain,
    c_in(c_Datatype__Universe_OIn0(c_Datatype__Universe_OScons(X1,X1,X2,X3),X2,X3),c_Datatype__Universe_Ousum(c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430]) ).

cnf(i_0_4745,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_1430]) ).

cnf(i_0_4746,plain,
    c_in(c_Zorn_Osucc(v_S,c_Main_OImageE__1(c_Zorn_OTFin(v_S,t_a),X1,c_UNIV,tc_set(tc_set(t_a)),X2),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468]) ).

cnf(i_0_4747,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_4748,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Oconverse(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5),X4,X6,X5),tc_prod(X5,X6)),
    inference(scs_inference,[],[i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3293,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365]) ).

cnf(i_0_4749,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),tc_prod(X4,X3)),
    inference(rename_variables,[],[i_0_3293]) ).

cnf(i_0_4750,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_1365]) ).

cnf(i_0_4751,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_Oconverse(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X5,X4,X3,X6),tc_prod(X6,X3)),
    inference(scs_inference,[],[i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3293,i_0_4749,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366]) ).

cnf(i_0_4752,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),tc_prod(X4,X3)),
    inference(rename_variables,[],[i_0_3293]) ).

cnf(i_0_4753,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_1366]) ).

cnf(i_0_4754,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_Relation_Oconverse(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390]) ).

cnf(i_0_4755,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),tc_prod(X4,X3)),
    inference(rename_variables,[],[i_0_3293]) ).

cnf(i_0_4756,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_1390]) ).

cnf(i_0_4757,plain,
    c_lessequals(X1,c_Union(c_Union(c_Finite__Set_OFinites,tc_set(X2)),X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_3967,i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536]) ).

cnf(i_0_4758,plain,
    c_in(X1,c_Union(c_Finite__Set_OFinites,X2),X2),
    inference(rename_variables,[],[i_0_3967]) ).

cnf(i_0_4759,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_4760,plain,
    c_in(X1,c_Relation_ODomain(c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),tc_prod(X3,X4)),tc_prod(X3,X4)),tc_prod(X3,X4)),X3,X4),X3),
    inference(scs_inference,[],[i_0_3967,i_0_4543,i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419]) ).

cnf(i_0_4761,plain,
    c_in(X1,c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),X3),X3),
    inference(rename_variables,[],[i_0_4543]) ).

cnf(i_0_4762,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_1419]) ).

cnf(i_0_4763,plain,
    c_in(X1,c_Relation_ORange(c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),tc_prod(X3,X4)),tc_prod(X3,X4)),tc_prod(X3,X4)),X3,X4),X4),
    inference(scs_inference,[],[i_0_3967,i_0_4543,i_0_4761,i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420]) ).

cnf(i_0_4764,plain,
    c_in(X1,c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),X3),X3),
    inference(rename_variables,[],[i_0_4543]) ).

cnf(i_0_4765,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_1420]) ).

cnf(i_0_4766,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),tc_prod(X3,X3)),tc_prod(X3,X3)),tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517]) ).

cnf(i_0_4767,plain,
    c_in(X1,c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),X3),X3),
    inference(rename_variables,[],[i_0_4543]) ).

cnf(i_0_4768,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_4769,plain,
    c_in(X1,c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_3080,i_0_3320,i_0_3616,i_0_4196,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537]) ).

cnf(i_0_4770,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_4771,plain,
    c_lessequals(X1,X1,c_append(c_List_Olist_ONil,tc_set(X2),X3)),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_3080,i_0_3320,i_0_3616,i_0_4022,i_0_4196,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635]) ).

cnf(i_0_4772,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_4773,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,c_append(c_List_Olist_ONil,c_emptyset,X4),X5,X6,X7),X6,X8,X7),X9,X7,X8),X8),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_3080,i_0_3320,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380]) ).

cnf(i_0_4774,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,c_append(c_List_Olist_ONil,c_emptyset,X4),X5,X6,X7),X6,X8,X7),tc_prod(X7,X8)),
    inference(rename_variables,[],[i_0_4196]) ).

cnf(i_0_4775,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_1380]) ).

cnf(i_0_4776,plain,
    c_in(c_Relation_Oconverse(c_union(c_union(c_List_Oset(X1,tc_prod(X2,X3)),c_List_Oset(X1,tc_prod(X2,X3)),tc_prod(X2,X3)),c_emptyset,tc_prod(X2,X3)),X2,X3),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X2))),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461]) ).

cnf(i_0_4777,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_emptyset,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_4273]) ).

cnf(i_0_4778,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_1461]) ).

cnf(i_0_4779,plain,
    c_lessequals(X1,c_List_Olists(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_set(tc_List_Olist(tc_List_Olist(X2)))),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_3642,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487]) ).

cnf(i_0_4780,plain,
    c_in(X1,c_List_Olists(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_3642]) ).

cnf(i_0_4781,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_4782,plain,
    c_in(X1,c_Inter(c_Relation_ORange(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,tc_set(X6))),X5,tc_set(X6)),X6),X6),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_3642,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504]) ).

cnf(i_0_4783,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X5,X6),X6),
    inference(rename_variables,[],[i_0_3904]) ).

cnf(i_0_4784,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_1504]) ).

cnf(i_0_4785,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X5),tc_prod(X4,X3)),tc_prod(X4,X3)),tc_prod(X4,X3)),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_3642,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412]) ).

cnf(i_0_4786,plain,
    c_in(X1,c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),X3),X3),
    inference(rename_variables,[],[i_0_4543]) ).

cnf(i_0_4787,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_1412]) ).

cnf(i_0_4788,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X4),tc_prod(X3,X3)),tc_prod(X3,X3)),tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3642,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416]) ).

cnf(i_0_4789,plain,
    c_in(X1,c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),X3),X3),
    inference(rename_variables,[],[i_0_4543]) ).

cnf(i_0_4790,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_1416]) ).

cnf(i_0_4791,plain,
    c_in(X1,c_List_Olists(c_List_Olists(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(tc_List_Olist(X2))),tc_List_Olist(tc_List_Olist(tc_List_Olist(X2)))),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3642,i_0_4780,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474]) ).

cnf(i_0_4792,plain,
    c_in(X1,c_List_Olists(c_List_Olists(c_UNIV,X2),tc_List_Olist(X2)),tc_List_Olist(tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_3642]) ).

cnf(i_0_4793,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_1474]) ).

cnf(i_0_4794,plain,
    c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1) = c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X1),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3642,i_0_4780,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4533,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731]) ).

cnf(i_0_4795,plain,
    c_in(c_Main_OusumE__1(c_Finite__Set_OFinites,c_Datatype__Universe_OIn0(c_union(c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393]) ).

cnf(i_0_4796,plain,
    c_in(c_Datatype__Universe_OIn0(c_union(c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),c_List_Oset(X1,tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),c_Datatype__Universe_Ousum(c_Finite__Set_OFinites,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(rename_variables,[],[i_0_4488]) ).

cnf(i_0_4797,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_4798,plain,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | 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))) ),
    inference(rename_variables,[],[i_0_1393]) ).

cnf(i_0_4799,plain,
    c_Union(c_Finite__Set_OFinites,X1) = c_UNIV,
    inference(scs_inference,[],[i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3080,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529]) ).

cnf(i_0_4800,plain,
    c_lessequals(X1,c_Union(c_Finite__Set_OFinites,X2),tc_set(X2)),
    inference(rename_variables,[],[i_0_4243]) ).

cnf(i_0_4801,plain,
    c_lessequals(X1,c_UNIV,tc_set(X2)),
    inference(rename_variables,[],[i_0_2941]) ).

cnf(i_0_4802,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_4803,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),X2),X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3080,i_0_3637,i_0_3320,i_0_4273,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414]) ).

cnf(i_0_4804,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,X3,X4),X4,X3),tc_prod(X3,X4)),
    inference(rename_variables,[],[i_0_3637]) ).

cnf(i_0_4805,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_1414]) ).

cnf(i_0_4806,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_union(c_union(c_List_Oset(X3,X2),c_List_Oset(X3,X2),X2),c_emptyset,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_3637,i_0_3320,i_0_4273,i_0_4777,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471]) ).

cnf(i_0_4807,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_emptyset,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_4273]) ).

cnf(i_0_4808,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_1471]) ).

cnf(i_0_4809,plain,
    c_in(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_4273,i_0_4777,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498]) ).

cnf(i_0_4810,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_1498]) ).

cnf(i_0_4811,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4273,i_0_4777,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_3828,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818]) ).

cnf(i_0_4812,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4813,plain,
    class_Finite__Set_Ofinite(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_bool,X1),c_List_Olist_ONil,X2),X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4273,i_0_4777,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_3828,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819]) ).

cnf(i_0_4814,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4815,plain,
    class_Parity_Oeven__odd(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4273,i_0_4777,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_3828,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904]) ).

cnf(i_0_4816,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4817,plain,
    class_Divides_Odiv(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3),X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4273,i_0_4777,i_0_3616,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905]) ).

cnf(i_0_4818,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4819,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),X4),c_append(c_List_Olist_ONil,c_List_Olex(X5,X2),X6),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814]) ).

cnf(i_0_4820,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4821,plain,
    class_Nat_Opower(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822]) ).

cnf(i_0_4822,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4823,plain,
    class_Numeral_Onumber(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888]) ).

cnf(i_0_4824,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4825,plain,
    class_HOL_Ozero(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893]) ).

cnf(i_0_4826,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4827,plain,
    class_HOL_Otimes(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899]) ).

cnf(i_0_4828,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4829,plain,
    class_HOL_Oplus(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900]) ).

cnf(i_0_4830,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4831,plain,
    class_HOL_Oone(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_4832,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4833,plain,
    class_HOL_Ominus(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_4834,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4835,plain,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_append(c_List_Olist_ONil,c_List_Olex(X3,X2),X4),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813]) ).

cnf(i_0_4836,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_append(c_List_Olist_ONil,c_List_Olex(X4,X2),X5),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_4574]) ).

cnf(i_0_4837,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4838,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),X4),c_List_Olex(X5,X2),c_append(c_List_Olist_ONil,tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),X6)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4022,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815]) ).

cnf(i_0_4839,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4840,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(X1,c_List_Olist_ONil,X2),X3),c_append(c_List_Olist_ONil,tc_nat,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867]) ).

cnf(i_0_4841,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4842,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_List_Olist_ONil,c_List_Olists(c_Union(c_Pow(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),tc_List_Olist(X1)),tc_List_Olist(X1)),X2),tc_List_Olist(tc_List_Olist(X1))),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816]) ).

cnf(i_0_4843,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4844,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Union(c_Pow(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),tc_List_Olist(X1)),tc_List_Olist(X1)),c_append(c_List_Olist_ONil,tc_List_Olist(tc_List_Olist(X1)),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817]) ).

cnf(i_0_4845,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4846,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_set(X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906]) ).

cnf(i_0_4847,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4848,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_3707,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849]) ).

cnf(i_0_4849,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4850,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886]) ).

cnf(i_0_4851,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4852,plain,
    ~ c_less(c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3),c_append(c_List_Olist_ONil,c_append(c_Datatype__Universe_OIn1(X1,X2,X3),c_List_Olist_ONil,X4),X5),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865]) ).

cnf(i_0_4853,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(X1,c_List_Olist_ONil,X2),X3),tc_nat),
    inference(rename_variables,[],[i_0_3709]) ).

cnf(i_0_4854,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827]) ).

cnf(i_0_4855,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4856,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870]) ).

cnf(i_0_4857,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4858,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887]) ).

cnf(i_0_4859,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4860,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889]) ).

cnf(i_0_4861,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4862,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894]) ).

cnf(i_0_4863,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4864,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897]) ).

cnf(i_0_4865,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4866,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898]) ).

cnf(i_0_4867,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4868,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896]) ).

cnf(i_0_4869,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4870,plain,
    c_List_Olist_ONil != c_append(c_List_Olist_ONil,c_List_Olist_OCons(X1,X2,X3),X4),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_1616,i_0_3084,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732]) ).

cnf(i_0_4871,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_4872,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_1616,i_0_3084,i_0_3735,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862]) ).

cnf(i_0_4873,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4874,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890]) ).

cnf(i_0_4875,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4876,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903]) ).

cnf(i_0_4877,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4878,plain,
    ~ c_less(X1,c_append(X1,c_List_Olist_ONil,X2),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866]) ).

cnf(i_0_4879,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(X1,c_List_Olist_ONil,X2),X3),tc_nat),
    inference(rename_variables,[],[i_0_3709]) ).

cnf(i_0_4880,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4881,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895]) ).

cnf(i_0_4882,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4883,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3739,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884]) ).

cnf(i_0_4884,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4885,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885]) ).

cnf(i_0_4886,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4887,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3745,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844]) ).

cnf(i_0_4888,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4889,plain,
    class_Ring__and__Field_Osemiring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3745,i_0_3747,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869]) ).

cnf(i_0_4890,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4891,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882]) ).

cnf(i_0_4892,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4893,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848]) ).

cnf(i_0_4894,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4895,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3755,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868]) ).

cnf(i_0_4896,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4897,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3755,i_0_3757,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881]) ).

cnf(i_0_4898,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4899,plain,
    class_OrderedGroup_Oab__group__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883]) ).

cnf(i_0_4900,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4901,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877]) ).

cnf(i_0_4902,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4903,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3763,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847]) ).

cnf(i_0_4904,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4905,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864]) ).

cnf(i_0_4906,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4907,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3767,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858]) ).

cnf(i_0_4908,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4909,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861]) ).

cnf(i_0_4910,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4911,plain,
    class_Ring__and__Field_Oring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3771,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863]) ).

cnf(i_0_4912,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4913,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3771,i_0_3773,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875]) ).

cnf(i_0_4914,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4915,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876]) ).

cnf(i_0_4916,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4917,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846]) ).

cnf(i_0_4918,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4919,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3779,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838]) ).

cnf(i_0_4920,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4921,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3779,i_0_3781,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857]) ).

cnf(i_0_4922,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4923,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860]) ).

cnf(i_0_4924,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4925,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843]) ).

cnf(i_0_4926,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4927,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874]) ).

cnf(i_0_4928,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4929,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871]) ).

cnf(i_0_4930,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4931,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3789,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845]) ).

cnf(i_0_4932,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4933,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3789,i_0_3793,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872]) ).

cnf(i_0_4934,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4935,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873]) ).

cnf(i_0_4936,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4937,plain,
    class_Ring__and__Field_Oring__1(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859]) ).

cnf(i_0_4938,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4939,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837]) ).

cnf(i_0_4940,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4941,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3801,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842]) ).

cnf(i_0_4942,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4943,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855]) ).

cnf(i_0_4944,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4945,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856]) ).

cnf(i_0_4946,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4947,plain,
    class_Power_Orecpower(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831]) ).

cnf(i_0_4948,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4949,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839]) ).

cnf(i_0_4950,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4951,plain,
    class_Numeral_Onumber__ring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3813,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832]) ).

cnf(i_0_4952,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4953,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3813,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836]) ).

cnf(i_0_4954,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4955,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851]) ).

cnf(i_0_4956,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4957,plain,
    class_Ring__and__Field_Oidom(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834]) ).

cnf(i_0_4958,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4959,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850]) ).

cnf(i_0_4960,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4961,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835]) ).

cnf(i_0_4962,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4963,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833]) ).

cnf(i_0_4964,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_4965,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_List_Olists(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),tc_List_Olist(tc_List_Olist(X1))),tc_List_Olist(tc_List_Olist(tc_List_Olist(X1)))),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527]) ).

cnf(i_0_4966,plain,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_1621]) ).

cnf(i_0_4967,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_4968,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583]) ).

cnf(i_0_4969,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2583]) ).

cnf(i_0_4970,plain,
    class_HOL_Ozero(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939]) ).

cnf(i_0_4971,plain,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Ozero(X1) ),
    inference(rename_variables,[],[i_0_1939]) ).

cnf(i_0_4972,plain,
    class_HOL_Otimes(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085]) ).

cnf(i_0_4973,plain,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Otimes(X1) ),
    inference(rename_variables,[],[i_0_2085]) ).

cnf(i_0_4974,plain,
    class_HOL_Oplus(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221]) ).

cnf(i_0_4975,plain,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Oplus(X1) ),
    inference(rename_variables,[],[i_0_2221]) ).

cnf(i_0_4976,plain,
    class_HOL_Oone(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507]) ).

cnf(i_0_4977,plain,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Oone(X1) ),
    inference(rename_variables,[],[i_0_2507]) ).

cnf(i_0_4978,plain,
    class_HOL_Ominus(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523]) ).

cnf(i_0_4979,plain,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_HOL_Ominus(X1) ),
    inference(rename_variables,[],[i_0_2523]) ).

cnf(i_0_4980,plain,
    class_Orderings_Olinorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572]) ).

cnf(i_0_4981,plain,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2572]) ).

cnf(i_0_4982,plain,
    class_Orderings_Oorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601]) ).

cnf(i_0_4983,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2601]) ).

cnf(i_0_4984,plain,
    class_Numeral_Onumber(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841]) ).

cnf(i_0_4985,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber(X1) ),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_4986,plain,
    class_Nat_Opower(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795]) ).

cnf(i_0_4987,plain,
    ( ~ class_Power_Orecpower(X1)
    | class_Nat_Opower(X1) ),
    inference(rename_variables,[],[i_0_1795]) ).

cnf(i_0_4988,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795,i_0_2565]) ).

cnf(i_0_4989,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2565]) ).

cnf(i_0_4990,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795,i_0_2565,i_0_2056]) ).

cnf(i_0_4991,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_4992,plain,
    class_LOrder_Omeet__semilorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795,i_0_2565,i_0_2056,i_0_2071]) ).

cnf(i_0_4993,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2071]) ).

cnf(i_0_4994,plain,
    class_Orderings_Oord(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_set(X1),X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795,i_0_2565,i_0_2056,i_0_2071,i_0_2566]) ).

cnf(i_0_4995,plain,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2566]) ).

cnf(i_0_4996,plain,
    class_LOrder_Olorder(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),X3)),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2041]) ).

cnf(i_0_4997,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2041]) ).

cnf(i_0_4998,plain,
    c_in(X1,c_Main_OUnionE__1(X1,c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2041,i_0_1493]) ).

cnf(i_0_4999,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_5000,plain,
    ( ~ c_in(c_Main_Ofinite__Union__1(c_union(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),c_emptyset,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Union(c_union(c_union(c_List_Oset(X1,tc_set(X2)),c_List_Oset(X1,tc_set(X2)),tc_set(X2)),c_emptyset,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_4807,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2041,i_0_1493,i_0_1479]) ).

cnf(i_0_5001,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_emptyset,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_4273]) ).

cnf(i_0_5002,plain,
    ( ~ 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))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1479]) ).

cnf(i_0_5003,plain,
    ( c_in(c_Main_Ofinite__Union__1(c_inter(c_emptyset,X1,tc_set(X2)),X2),c_inter(c_emptyset,X1,tc_set(X2)),tc_set(X2))
    | c_in(c_Union(c_inter(c_emptyset,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1619,i_0_2941,i_0_4243,i_0_3967,i_0_4543,i_0_4761,i_0_4764,i_0_4767,i_0_4786,i_0_4699,i_0_4555,i_0_4574,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3815,i_0_3813,i_0_3817,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3793,i_0_3795,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3642,i_0_4780,i_0_3739,i_0_3741,i_0_3743,i_0_1616,i_0_3084,i_0_3735,i_0_3737,i_0_3751,i_0_3080,i_0_1652,i_0_3637,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_4306,i_0_3320,i_0_3360,i_0_3707,i_0_3713,i_0_1645,i_0_4812,i_0_4814,i_0_4816,i_0_4818,i_0_4822,i_0_4824,i_0_4826,i_0_4828,i_0_4830,i_0_4832,i_0_4834,i_0_4837,i_0_4847,i_0_4849,i_0_4851,i_0_4855,i_0_4857,i_0_4859,i_0_4861,i_0_4863,i_0_4865,i_0_4867,i_0_4869,i_0_4873,i_0_4875,i_0_4877,i_0_4880,i_0_4882,i_0_4884,i_0_4886,i_0_4888,i_0_4890,i_0_4892,i_0_4894,i_0_4896,i_0_4898,i_0_4900,i_0_4902,i_0_4904,i_0_4906,i_0_4908,i_0_4910,i_0_4912,i_0_4914,i_0_4916,i_0_4918,i_0_4920,i_0_4922,i_0_4924,i_0_4926,i_0_4928,i_0_4930,i_0_4932,i_0_4934,i_0_4936,i_0_4938,i_0_4940,i_0_4942,i_0_4944,i_0_4946,i_0_4948,i_0_4950,i_0_4952,i_0_4954,i_0_4956,i_0_4958,i_0_4960,i_0_4962,i_0_4273,i_0_4777,i_0_4807,i_0_3616,i_0_1643,i_0_4820,i_0_4839,i_0_4841,i_0_4843,i_0_4845,i_0_4022,i_0_3709,i_0_4853,i_0_4196,i_0_4740,i_0_3904,i_0_3293,i_0_4749,i_0_4752,i_0_4488,i_0_4533,i_0_3239,i_0_4547,i_0_4549,i_0_4551,i_0_3828,i_0_3884,i_0_1621,i_0_1615,i_0_4141,i_0_4143,i_0_4145,i_0_4147,i_0_4149,i_0_4153,i_0_4155,i_0_4464,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1403,i_0_1429,i_0_1430,i_0_1468,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1635,i_0_1380,i_0_1461,i_0_1487,i_0_1504,i_0_1412,i_0_1416,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2867,i_0_2816,i_0_2817,i_0_2906,i_0_2849,i_0_2886,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2903,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2845,i_0_2872,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2851,i_0_2834,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2583,i_0_1939,i_0_2085,i_0_2221,i_0_2507,i_0_2523,i_0_2572,i_0_2601,i_0_1841,i_0_1795,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2041,i_0_1493,i_0_1479,i_0_1494]) ).

cnf(i_0_5004,plain,
    c_in(c_inter(c_emptyset,X1,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3884]) ).

cnf(i_0_5005,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_1494]) ).

cnf(i_0_5007,plain,
    c_times(X1,c_0,tc_IntDef_Oint) = c_0,
    inference(scs_inference,[],[i_0_1583,i_0_1624]) ).

cnf(i_0_5008,plain,
    c_Divides_Oop_Advd(X1,c_times(X2,X1,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(rename_variables,[],[i_0_1583]) ).

cnf(i_0_5009,plain,
    ( ~ c_Divides_Oop_Advd(c_0,X1,tc_IntDef_Oint)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1624]) ).

cnf(i_0_5010,plain,
    c_in(c_inter(c_union(c_emptyset,c_emptyset,X1),X2,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(scs_inference,[],[i_0_3975,i_0_1583,i_0_1624,i_0_1499]) ).

cnf(i_0_5011,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_5012,plain,
    c_in(c_inter(X1,c_union(c_emptyset,c_emptyset,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_3975,i_0_1583,i_0_1624,i_0_1499,i_0_1500]) ).

cnf(i_0_5013,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_5014,plain,
    c_in(c_insert(X1,c_union(c_emptyset,c_emptyset,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_3975,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_5015,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_1501]) ).

cnf(i_0_5016,plain,
    ~ c_in(c_List_Olist_ONil,c_Relation_ODomain(c_append(c_List_Olist_ONil,c_List_Olex(X1,X2),X3),tc_List_Olist(X2),tc_List_Olist(X2)),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_4835,i_0_3975,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404]) ).

cnf(i_0_5017,plain,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_append(c_List_Olist_ONil,c_List_Olex(X3,X2),X4),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_4835]) ).

cnf(i_0_5018,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_1404]) ).

cnf(i_0_5019,plain,
    c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,c_Relation_ODomain(c_UNIV,tc_set(tc_Datatype__Universe_Onode(X2,X3)),X5),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_4835,i_0_2989,i_0_3975,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429]) ).

cnf(i_0_5020,plain,
    c_in(X1,c_Relation_ODomain(c_UNIV,X2,X3),X2),
    inference(rename_variables,[],[i_0_2989]) ).

cnf(i_0_5021,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_1429]) ).

cnf(i_0_5022,plain,
    c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(c_Relation_ODomain(c_UNIV,tc_set(tc_Datatype__Universe_Onode(X2,X3)),X4),X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430]) ).

cnf(i_0_5023,plain,
    c_in(X1,c_Relation_ODomain(c_UNIV,X2,X3),X2),
    inference(rename_variables,[],[i_0_2989]) ).

cnf(i_0_5024,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_1430]) ).

cnf(i_0_5025,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_ORange(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,tc_prod(X5,X6)),X6,X7,X5),tc_prod(X5,X7)),
    inference(scs_inference,[],[i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3296,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365]) ).

cnf(i_0_5026,plain,
    ~ c_in(X1,c_Relation_ORange(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X4),
    inference(rename_variables,[],[i_0_3296]) ).

cnf(i_0_5027,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_1365]) ).

cnf(i_0_5028,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_ORange(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,tc_prod(X4,X5)),X6,X4,X5,X7),tc_prod(X7,X5)),
    inference(scs_inference,[],[i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3296,i_0_5026,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366]) ).

cnf(i_0_5029,plain,
    ~ c_in(X1,c_Relation_ORange(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X4),
    inference(rename_variables,[],[i_0_3296]) ).

cnf(i_0_5030,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_1366]) ).

cnf(i_0_5031,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_Relation_ORange(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,tc_prod(X4,X5)),X4,X5),tc_prod(X5,X4)),
    inference(scs_inference,[],[i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390]) ).

cnf(i_0_5032,plain,
    ~ c_in(X1,c_Relation_ORange(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X4),
    inference(rename_variables,[],[i_0_3296]) ).

cnf(i_0_5033,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_1390]) ).

cnf(i_0_5034,plain,
    c_lessequals(v_m,c_Union(c_Relation_OImage(c_Relation_OId,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_4537,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536]) ).

cnf(i_0_5035,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_5036,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_Orel__comp(c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),X7,X6,X5,X8),X8,X5),X5),
    inference(scs_inference,[],[i_0_4537,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_4199,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403]) ).

cnf(i_0_5037,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),X7,X6,X5,X8),tc_prod(X8,X5)),
    inference(rename_variables,[],[i_0_4199]) ).

cnf(i_0_5038,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_1403]) ).

cnf(i_0_5039,plain,
    c_in(c_Zorn_Osucc(v_S,c_Main_OImageE__1(c_Zorn_OTFin(v_S,t_a),v_m,c_Relation_OId,tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_4537,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_4199,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468]) ).

cnf(i_0_5040,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_5041,plain,
    c_in(X1,c_Relation_ODomain(c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,tc_prod(X2,X3)),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X2),
    inference(scs_inference,[],[i_0_4537,i_0_4809,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_4199,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419]) ).

cnf(i_0_5042,plain,
    c_in(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(rename_variables,[],[i_0_4809]) ).

cnf(i_0_5043,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_1419]) ).

cnf(i_0_5044,plain,
    c_in(X1,c_Relation_ORange(c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,tc_prod(X2,X3)),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X3),
    inference(scs_inference,[],[i_0_4537,i_0_4809,i_0_5042,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_4199,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420]) ).

cnf(i_0_5045,plain,
    c_in(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(rename_variables,[],[i_0_4809]) ).

cnf(i_0_5046,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_1420]) ).

cnf(i_0_5047,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,tc_prod(X2,X2)),tc_prod(X2,X2)),tc_prod(X2,X2)),X2),tc_prod(X2,X2)),
    inference(scs_inference,[],[i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_4199,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517]) ).

cnf(i_0_5048,plain,
    c_in(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(rename_variables,[],[i_0_4809]) ).

cnf(i_0_5049,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_5050,plain,
    c_in(v_m,c_Pow(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_4199,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537]) ).

cnf(i_0_5051,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_5052,plain,
    c_in(c_Relation_Oconverse(c_Relation_Oconverse(c_emptyset,X1,X2),X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_4199,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461]) ).

cnf(i_0_5053,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_1461]) ).

cnf(i_0_5054,plain,
    c_lessequals(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),tc_set(X2)),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_4199,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487]) ).

cnf(i_0_5055,plain,
    c_in(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(rename_variables,[],[i_0_4809]) ).

cnf(i_0_5056,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_5057,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_Orel__comp(c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),X7,X6,X5,X8),X9,X8,X5),X5),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_4199,i_0_5037,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380]) ).

cnf(i_0_5058,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_Orel__comp(X2,c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6),X7,X6,X5,X8),tc_prod(X8,X5)),
    inference(rename_variables,[],[i_0_4199]) ).

cnf(i_0_5059,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_1380]) ).

cnf(i_0_5060,plain,
    c_lessequals(X1,X1,c_append(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X2),X3,X4),X3,X4),c_List_Olist_ONil,X5)),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635]) ).

cnf(i_0_5061,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_5062,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,tc_prod(X4,X3)),tc_prod(X4,X3)),tc_prod(X4,X3)),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412]) ).

cnf(i_0_5063,plain,
    c_in(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(rename_variables,[],[i_0_4809]) ).

cnf(i_0_5064,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_1412]) ).

cnf(i_0_5065,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,tc_prod(X3,X3)),tc_prod(X3,X3)),tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416]) ).

cnf(i_0_5066,plain,
    c_in(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(rename_variables,[],[i_0_4809]) ).

cnf(i_0_5067,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_1416]) ).

cnf(i_0_5068,plain,
    c_in(X1,c_Inter(c_Relation_ODomain(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(tc_set(X5),X6)),tc_set(X5),X6),X5),X5),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504]) ).

cnf(i_0_5069,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,tc_prod(X5,X6)),X5,X6),X5),
    inference(rename_variables,[],[i_0_3907]) ).

cnf(i_0_5070,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_1504]) ).

cnf(i_0_5071,plain,
    c_in(X1,c_List_Olists(c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),tc_List_Olist(X2)),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474]) ).

cnf(i_0_5072,plain,
    c_in(X1,c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X2),X2),X2),X2),
    inference(rename_variables,[],[i_0_4809]) ).

cnf(i_0_5073,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_1474]) ).

cnf(i_0_5074,plain,
    c_0 = c_times(X1,c_uminus(c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_3296,i_0_5026,i_0_5029,i_0_4458,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731]) ).

cnf(i_0_5075,plain,
    c_in(c_Main_OusumE__2(c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X1,X2),c_Datatype__Universe_OIn1(c_Datatype__Universe_OScons(X3,X3,X1,X2),X1,X2),X1,X2),c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3055,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4458,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393]) ).

cnf(i_0_5076,plain,
    c_in(c_Datatype__Universe_OIn1(c_Datatype__Universe_OScons(X1,X1,X2,X3),X2,X3),c_Datatype__Universe_Ousum(X4,c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(rename_variables,[],[i_0_4742]) ).

cnf(i_0_5077,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_5078,plain,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | 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))) ),
    inference(rename_variables,[],[i_0_1393]) ).

cnf(i_0_5079,plain,
    c_UNIV = c_List_Olists(c_UNIV,X1),
    inference(scs_inference,[],[i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3055,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4458,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529]) ).

cnf(i_0_5080,plain,
    c_lessequals(X1,c_UNIV,tc_set(X2)),
    inference(rename_variables,[],[i_0_2941]) ).

cnf(i_0_5081,plain,
    c_lessequals(X1,c_List_Olists(c_UNIV,X2),tc_set(tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_3613]) ).

cnf(i_0_5082,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_5083,plain,
    c_in(X1,c_Relation_OImage(c_Inter(c_emptyset,tc_prod(tc_set(tc_set(t_a)),X2)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3055,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4458,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414]) ).

cnf(i_0_5084,plain,
    c_in(X1,c_Inter(c_emptyset,X2),X2),
    inference(rename_variables,[],[i_0_3016]) ).

cnf(i_0_5085,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_1414]) ).

cnf(i_0_5086,plain,
    c_in(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_union(c_emptyset,c_emptyset,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4458,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471]) ).

cnf(i_0_5087,plain,
    c_in(c_union(c_emptyset,c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_3975]) ).

cnf(i_0_5088,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_1471]) ).

cnf(i_0_5089,plain,
    class_Orderings_Oord(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_set(X1),X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4458,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818]) ).

cnf(i_0_5090,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5091,plain,
    class_Finite__Set_Ofinite(c_append(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_bool,X1),c_List_Olist_ONil,X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4458,i_0_4547,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819]) ).

cnf(i_0_5092,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5093,plain,
    class_Parity_Oeven__odd(c_append(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4458,i_0_4547,i_0_4549,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904]) ).

cnf(i_0_5094,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5095,plain,
    class_Divides_Odiv(c_append(c_append(c_List_Olist_ONil,c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905]) ).

cnf(i_0_5096,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5097,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),c_append(c_List_Olex(X4,X2),c_List_Olist_ONil,X5),c_append(c_List_Olist_ONil,tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),X6)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_1644,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814]) ).

cnf(i_0_5098,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_5099,plain,
    class_Nat_Opower(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_1644,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822]) ).

cnf(i_0_5100,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5101,plain,
    class_Numeral_Onumber(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_1644,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888]) ).

cnf(i_0_5102,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5103,plain,
    class_HOL_Ozero(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_1644,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893]) ).

cnf(i_0_5104,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5105,plain,
    class_HOL_Otimes(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_1644,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899]) ).

cnf(i_0_5106,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5107,plain,
    class_HOL_Oplus(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_1644,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900]) ).

cnf(i_0_5108,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5109,plain,
    class_HOL_Oone(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_1644,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_5110,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5111,plain,
    class_HOL_Ominus(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_1644,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_5112,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5113,plain,
    ~ c_in(c_append(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil,X3),c_append(c_List_Olist_ONil,c_List_Olex(X4,X2),X5),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_1644,i_0_5098,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813]) ).

cnf(i_0_5114,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_5115,plain,
    ~ c_in(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_append(c_List_Olist_ONil,c_List_Olex(X3,X2),X4),c_append(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil,X5)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_1644,i_0_5098,i_0_5114,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815]) ).

cnf(i_0_5116,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_5117,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_List_Olists(c_Union(c_Pow(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),tc_List_Olist(X1)),tc_List_Olist(X1)),c_List_Olist_ONil,X2),tc_List_Olist(tc_List_Olist(X1))),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816]) ).

cnf(i_0_5118,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_5119,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Union(c_Pow(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),tc_List_Olist(X1)),tc_List_Olist(X1)),c_append(tc_List_Olist(tc_List_Olist(X1)),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817]) ).

cnf(i_0_5120,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_5121,plain,
    ~ c_less(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_append(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_List_Olist_ONil,X1),c_append(tc_set(tc_set(t_a)),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867]) ).

cnf(i_0_5122,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_5123,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3707,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849]) ).

cnf(i_0_5124,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5125,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3707,i_0_3713,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886]) ).

cnf(i_0_5126,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5127,plain,
    ~ c_less(c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3),c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_Datatype__Universe_OIn1(X1,X2,X3),X4),X5),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865]) ).

cnf(i_0_5128,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,X1,X2),X3),tc_nat),
    inference(rename_variables,[],[i_0_4016]) ).

cnf(i_0_5129,plain,
    class_Orderings_Oorder(c_append(tc_set(X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906]) ).

cnf(i_0_5130,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5131,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3721,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827]) ).

cnf(i_0_5132,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5133,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3721,i_0_3723,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870]) ).

cnf(i_0_5134,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5135,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887]) ).

cnf(i_0_5136,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5137,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889]) ).

cnf(i_0_5138,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5139,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894]) ).

cnf(i_0_5140,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5141,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897]) ).

cnf(i_0_5142,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5143,plain,
    class_LOrder_Omeet__semilorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898]) ).

cnf(i_0_5144,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5145,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_Sum__Type_OInl(X4,X3,X2),X5,X6),X5,X6),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732]) ).

cnf(i_0_5146,plain,
    c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3) = X1,
    inference(rename_variables,[],[i_0_3547]) ).

cnf(i_0_5147,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3735,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862]) ).

cnf(i_0_5148,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5149,plain,
    ~ c_less(X1,c_append(X1,c_List_Olist_ONil,X2),c_append(c_List_Olist_ONil,tc_nat,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3735,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866]) ).

cnf(i_0_5150,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(X1,c_List_Olist_ONil,X2),X3),c_append(c_List_Olist_ONil,tc_nat,X4)),
    inference(rename_variables,[],[i_0_4840]) ).

cnf(i_0_5151,plain,
    X1 = c_append(c_List_Olist_ONil,X1,X2),
    inference(rename_variables,[],[i_0_1645]) ).

cnf(i_0_5152,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3735,i_0_3737,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890]) ).

cnf(i_0_5153,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5154,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896]) ).

cnf(i_0_5155,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5156,plain,
    class_Orderings_Olinorder(c_append(tc_IntDef_Oint,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903]) ).

cnf(i_0_5157,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5158,plain,
    class_LOrder_Olorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895]) ).

cnf(i_0_5159,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5160,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3739,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884]) ).

cnf(i_0_5161,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5162,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885]) ).

cnf(i_0_5163,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5164,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3745,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844]) ).

cnf(i_0_5165,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5166,plain,
    class_Ring__and__Field_Osemiring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3745,i_0_3747,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869]) ).

cnf(i_0_5167,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5168,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882]) ).

cnf(i_0_5169,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5170,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848]) ).

cnf(i_0_5171,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5172,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3755,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868]) ).

cnf(i_0_5173,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5174,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3755,i_0_3757,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881]) ).

cnf(i_0_5175,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5176,plain,
    class_OrderedGroup_Oab__group__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883]) ).

cnf(i_0_5177,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5178,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877]) ).

cnf(i_0_5179,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5180,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3763,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847]) ).

cnf(i_0_5181,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5182,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864]) ).

cnf(i_0_5183,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5184,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3767,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858]) ).

cnf(i_0_5185,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5186,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861]) ).

cnf(i_0_5187,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5188,plain,
    class_Ring__and__Field_Oring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3771,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863]) ).

cnf(i_0_5189,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5190,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3771,i_0_3773,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875]) ).

cnf(i_0_5191,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5192,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876]) ).

cnf(i_0_5193,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5194,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846]) ).

cnf(i_0_5195,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5196,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3779,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838]) ).

cnf(i_0_5197,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5198,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3779,i_0_3781,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857]) ).

cnf(i_0_5199,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5200,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860]) ).

cnf(i_0_5201,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5202,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843]) ).

cnf(i_0_5203,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5204,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874]) ).

cnf(i_0_5205,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5206,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3791,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871]) ).

cnf(i_0_5207,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5208,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872]) ).

cnf(i_0_5209,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5210,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3789,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845]) ).

cnf(i_0_5211,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5212,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873]) ).

cnf(i_0_5213,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5214,plain,
    class_Ring__and__Field_Oring__1(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859]) ).

cnf(i_0_5215,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5216,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837]) ).

cnf(i_0_5217,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5218,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3801,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842]) ).

cnf(i_0_5219,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5220,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855]) ).

cnf(i_0_5221,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5222,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856]) ).

cnf(i_0_5223,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5224,plain,
    class_Power_Orecpower(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831]) ).

cnf(i_0_5225,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5226,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839]) ).

cnf(i_0_5227,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5228,plain,
    class_Numeral_Onumber__ring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3813,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832]) ).

cnf(i_0_5229,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5230,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3813,i_0_3811,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836]) ).

cnf(i_0_5231,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5232,plain,
    class_Ring__and__Field_Oidom(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3813,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834]) ).

cnf(i_0_5233,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5234,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851]) ).

cnf(i_0_5235,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5236,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850]) ).

cnf(i_0_5237,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5238,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835]) ).

cnf(i_0_5239,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5240,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833]) ).

cnf(i_0_5241,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5242,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X1),X1),X1),X1),tc_List_Olist(X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527]) ).

cnf(i_0_5243,plain,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_1621]) ).

cnf(i_0_5244,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_5245,plain,
    class_Orderings_Oord(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545]) ).

cnf(i_0_5246,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__join(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2545]) ).

cnf(i_0_5247,plain,
    class_Orderings_Oorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584]) ).

cnf(i_0_5248,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2584]) ).

cnf(i_0_5249,plain,
    class_Orderings_Olinorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573]) ).

cnf(i_0_5250,plain,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2573]) ).

cnf(i_0_5251,plain,
    class_Orderings_Oorder(c_append(tc_IntDef_Oint,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601]) ).

cnf(i_0_5252,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2601]) ).

cnf(i_0_5253,plain,
    class_Orderings_Oord(c_append(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540]) ).

cnf(i_0_5254,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2540]) ).

cnf(i_0_5255,plain,
    class_Orderings_Oord(c_append(tc_IntDef_Oint,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565]) ).

cnf(i_0_5256,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2565]) ).

cnf(i_0_5257,plain,
    class_LOrder_Ojoin__semilorder(c_append(tc_IntDef_Oint,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056]) ).

cnf(i_0_5258,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_5259,plain,
    class_LOrder_Omeet__semilorder(c_append(tc_IntDef_Oint,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071]) ).

cnf(i_0_5260,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2071]) ).

cnf(i_0_5261,plain,
    class_Orderings_Oord(c_append(tc_set(X1),c_List_Olist_ONil,X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566]) ).

cnf(i_0_5262,plain,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2566]) ).

cnf(i_0_5263,plain,
    class_Orderings_Oorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2577]) ).

cnf(i_0_5264,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2577]) ).

cnf(i_0_5265,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2577,i_0_2043]) ).

cnf(i_0_5266,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2043]) ).

cnf(i_0_5267,plain,
    class_LOrder_Omeet__semilorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2577,i_0_2043,i_0_2058]) ).

cnf(i_0_5268,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2058]) ).

cnf(i_0_5269,plain,
    class_LOrder_Olorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2577,i_0_2043,i_0_2058,i_0_2029]) ).

cnf(i_0_5270,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2029]) ).

cnf(i_0_5271,plain,
    class_Orderings_Olinorder(c_append(c_append(c_append(c_List_Olist_ONil,tc_nat,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568]) ).

cnf(i_0_5272,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2568]) ).

cnf(i_0_5273,plain,
    class_LOrder_Olorder(c_append(tc_IntDef_Oint,c_List_Olist_ONil,X1)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_2041]) ).

cnf(i_0_5274,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2041]) ).

cnf(i_0_5275,plain,
    ( c_in(X1,c_Union(c_Relation_OImage(c_Relation_OId,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),tc_set(t_a)),tc_set(t_a))
    | ~ c_in(X1,v_m,tc_set(t_a)) ),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_2041,i_0_1514]) ).

cnf(i_0_5276,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_1514]) ).

cnf(i_0_5277,plain,
    ( ~ c_in(X1,v_m,tc_set(t_a))
    | c_in(X1,c_Main_OUnionE__1(X1,c_Relation_OImage(c_Relation_OId,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),tc_set(t_a)),tc_set(t_a)) ),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_2941,i_0_2946,i_0_4537,i_0_4809,i_0_5042,i_0_5045,i_0_5048,i_0_5055,i_0_5063,i_0_5066,i_0_4835,i_0_5017,i_0_3701,i_0_4699,i_0_3055,i_0_3823,i_0_3821,i_0_3819,i_0_3813,i_0_3817,i_0_3811,i_0_3815,i_0_3809,i_0_3807,i_0_3805,i_0_3801,i_0_3803,i_0_3799,i_0_3797,i_0_3789,i_0_3795,i_0_3791,i_0_3793,i_0_3787,i_0_3785,i_0_3779,i_0_3781,i_0_3783,i_0_3777,i_0_3771,i_0_3773,i_0_3775,i_0_3767,i_0_3769,i_0_3763,i_0_3765,i_0_3761,i_0_3755,i_0_3757,i_0_3759,i_0_3753,i_0_3745,i_0_3747,i_0_3749,i_0_3739,i_0_3741,i_0_3743,i_0_2721,i_0_3084,i_0_3735,i_0_3737,i_0_4306,i_0_1557,i_0_3462,i_0_3721,i_0_3723,i_0_3725,i_0_3727,i_0_3729,i_0_3731,i_0_3733,i_0_3016,i_0_2989,i_0_5020,i_0_3975,i_0_3360,i_0_3707,i_0_3713,i_0_3921,i_0_2607,i_0_1646,i_0_5090,i_0_5092,i_0_5094,i_0_5096,i_0_5100,i_0_5102,i_0_5104,i_0_5106,i_0_5108,i_0_5110,i_0_5112,i_0_5124,i_0_5126,i_0_5130,i_0_5132,i_0_5134,i_0_5136,i_0_5138,i_0_5140,i_0_5142,i_0_5144,i_0_5148,i_0_5153,i_0_5155,i_0_5157,i_0_5159,i_0_5161,i_0_5163,i_0_5165,i_0_5167,i_0_5169,i_0_5171,i_0_5173,i_0_5175,i_0_5177,i_0_5179,i_0_5181,i_0_5183,i_0_5185,i_0_5187,i_0_5189,i_0_5191,i_0_5193,i_0_5195,i_0_5197,i_0_5199,i_0_5201,i_0_5203,i_0_5205,i_0_5207,i_0_5209,i_0_5211,i_0_5213,i_0_5215,i_0_5217,i_0_5219,i_0_5221,i_0_5223,i_0_5225,i_0_5227,i_0_5229,i_0_5231,i_0_5233,i_0_5235,i_0_5237,i_0_5239,i_0_1645,i_0_4016,i_0_1644,i_0_5098,i_0_5114,i_0_5116,i_0_5118,i_0_5120,i_0_3862,i_0_4199,i_0_5037,i_0_3907,i_0_4716,i_0_4742,i_0_3296,i_0_5026,i_0_5029,i_0_3547,i_0_4840,i_0_4994,i_0_4821,i_0_4823,i_0_4825,i_0_4827,i_0_4829,i_0_4831,i_0_4833,i_0_4458,i_0_4547,i_0_4549,i_0_4551,i_0_1621,i_0_1615,i_0_1583,i_0_1624,i_0_1499,i_0_1500,i_0_1501,i_0_1404,i_0_1429,i_0_1430,i_0_1365,i_0_1366,i_0_1390,i_0_1536,i_0_1403,i_0_1468,i_0_1419,i_0_1420,i_0_1517,i_0_1537,i_0_1461,i_0_1487,i_0_1380,i_0_1635,i_0_1412,i_0_1416,i_0_1504,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2814,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2867,i_0_2849,i_0_2886,i_0_2865,i_0_2906,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2732,i_0_2862,i_0_2866,i_0_2890,i_0_2896,i_0_2903,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2845,i_0_2873,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1527,i_0_2545,i_0_2584,i_0_2573,i_0_2601,i_0_2540,i_0_2565,i_0_2056,i_0_2071,i_0_2566,i_0_2577,i_0_2043,i_0_2058,i_0_2029,i_0_2568,i_0_2041,i_0_1514,i_0_1493]) ).

cnf(i_0_5278,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_5279,plain,
    c_Sum__Type_OInr(X1,X2,X3) != c_Sum__Type_OInl(X4,X3,X2),
    inference(rename_variables,[],[i_0_1557]) ).

cnf(i_0_5280,plain,
    c_append(X1,c_List_Olist_ONil,X2) = X1,
    inference(rename_variables,[],[i_0_1644]) ).

cnf(i_0_5281,plain,
    c_in(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_5282,plain,
    c_in(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3084]) ).

cnf(i_0_5284,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Relation_Orel__comp(X2,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6,X7),X6,X8,X7),X7,X8),X7),
    inference(scs_inference,[],[i_0_4476,i_0_1404]) ).

cnf(i_0_5285,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6,X7),X6,X8,X7),tc_prod(X7,X8)),
    inference(rename_variables,[],[i_0_4476]) ).

cnf(i_0_5286,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_1404]) ).

cnf(i_0_5287,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_ODomain(c_append(c_List_Olist_ONil,c_emptyset,X3),tc_prod(X4,X5),X6),X5,X7,X4),tc_prod(X4,X7)),
    inference(scs_inference,[],[i_0_4476,i_0_3299,i_0_1404,i_0_1365]) ).

cnf(i_0_5288,plain,
    ~ c_in(X1,c_Relation_ODomain(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X3),
    inference(rename_variables,[],[i_0_3299]) ).

cnf(i_0_5289,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_1365]) ).

cnf(i_0_5290,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_ODomain(c_append(c_List_Olist_ONil,c_emptyset,X2),tc_prod(X3,X4),X5),X6,X3,X4,X7),tc_prod(X7,X4)),
    inference(scs_inference,[],[i_0_4476,i_0_3299,i_0_5288,i_0_1404,i_0_1365,i_0_1366]) ).

cnf(i_0_5291,plain,
    ~ c_in(X1,c_Relation_ODomain(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X3),
    inference(rename_variables,[],[i_0_3299]) ).

cnf(i_0_5292,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_1366]) ).

cnf(i_0_5293,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_Relation_ODomain(c_append(c_List_Olist_ONil,c_emptyset,X2),tc_prod(X3,X4),X5),X3,X4),tc_prod(X4,X3)),
    inference(scs_inference,[],[i_0_4476,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390]) ).

cnf(i_0_5294,plain,
    ~ c_in(X1,c_Relation_ODomain(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4),X3),
    inference(rename_variables,[],[i_0_3299]) ).

cnf(i_0_5295,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_1390]) ).

cnf(i_0_5296,plain,
    c_in(c_inter(c_Relation_Oconverse(c_Relation_Oconverse(c_List_Oset(X1,tc_prod(X2,X3)),X2,X3),X3,X2),X4,tc_prod(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X3))),
    inference(scs_inference,[],[i_0_3623,i_0_4476,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499]) ).

cnf(i_0_5297,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_5298,plain,
    c_in(c_inter(X1,c_Relation_Oconverse(c_Relation_Oconverse(c_List_Oset(X2,tc_prod(X3,X4)),X3,X4),X4,X3),tc_prod(X3,X4)),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X4))),
    inference(scs_inference,[],[i_0_3623,i_0_4476,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500]) ).

cnf(i_0_5299,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_5300,plain,
    c_in(c_insert(X1,c_Relation_Oconverse(c_Relation_Oconverse(c_List_Oset(X2,tc_prod(X3,X4)),X3,X4),X4,X3),tc_prod(X3,X4)),c_Finite__Set_OFinites,tc_set(tc_prod(X3,X4))),
    inference(scs_inference,[],[i_0_3623,i_0_4476,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501]) ).

cnf(i_0_5301,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_1501]) ).

cnf(i_0_5302,plain,
    c_lessequals(X1,c_Union(c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),tc_set(X3)),tc_set(X3)),tc_set(X3)),X3),tc_set(X3)),
    inference(scs_inference,[],[i_0_4543,i_0_3623,i_0_4476,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536]) ).

cnf(i_0_5303,plain,
    c_in(X1,c_Union(c_Pow(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),X3),X3),
    inference(rename_variables,[],[i_0_4543]) ).

cnf(i_0_5304,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_5305,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_Orel__comp(X2,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6,X7),X6,X8,X7),X7,X8),X8),
    inference(scs_inference,[],[i_0_4543,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403]) ).

cnf(i_0_5306,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6,X7),X6,X8,X7),tc_prod(X7,X8)),
    inference(rename_variables,[],[i_0_4476]) ).

cnf(i_0_5307,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_1403]) ).

cnf(i_0_5308,plain,
    c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),tc_prod(X2,X3)),tc_prod(X2,X3),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X3)),X2,X3),X2),
    inference(scs_inference,[],[i_0_4543,i_0_4803,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419]) ).

cnf(i_0_5309,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),X2),X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4803]) ).

cnf(i_0_5310,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_1419]) ).

cnf(i_0_5311,plain,
    c_in(X1,c_Relation_ORange(c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),tc_prod(X2,X3)),tc_prod(X2,X3),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X3)),X2,X3),X3),
    inference(scs_inference,[],[i_0_4543,i_0_4803,i_0_5309,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420]) ).

cnf(i_0_5312,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),X2),X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4803]) ).

cnf(i_0_5313,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_1420]) ).

cnf(i_0_5314,plain,
    c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_Ousum(X4,c_Relation_ORange(c_UNIV,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_4543,i_0_4803,i_0_5309,i_0_2992,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429]) ).

cnf(i_0_5315,plain,
    c_in(X1,c_Relation_ORange(c_UNIV,X2,X3),X3),
    inference(rename_variables,[],[i_0_2992]) ).

cnf(i_0_5316,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_1429]) ).

cnf(i_0_5317,plain,
    c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_Ousum(c_Relation_ORange(c_UNIV,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(scs_inference,[],[i_0_4543,i_0_4803,i_0_5309,i_0_2992,i_0_5315,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430]) ).

cnf(i_0_5318,plain,
    c_in(X1,c_Relation_ORange(c_UNIV,X2,X3),X3),
    inference(rename_variables,[],[i_0_2992]) ).

cnf(i_0_5319,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_1430]) ).

cnf(i_0_5320,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),tc_prod(X2,X2)),tc_prod(X2,X2),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X2,X2)),X2),tc_prod(X2,X2)),
    inference(scs_inference,[],[i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_2992,i_0_5315,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517]) ).

cnf(i_0_5321,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),X2),X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4803]) ).

cnf(i_0_5322,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_5323,plain,
    c_in(c_Zorn_Osucc(X1,c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(scs_inference,[],[i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_2992,i_0_5315,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468]) ).

cnf(i_0_5324,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_5325,plain,
    c_in(c_Zorn_Osucc(v_S,c_Zorn_Osucc(v_S,v_m,t_a),t_a),c_Pow(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_2992,i_0_5315,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537]) ).

cnf(i_0_5326,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_5327,plain,
    c_lessequals(X1,c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),tc_set(tc_List_Olist(X3))),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_3953,i_0_2992,i_0_5315,i_0_3623,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487]) ).

cnf(i_0_5328,plain,
    c_in(X1,c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),tc_List_Olist(X3)),
    inference(rename_variables,[],[i_0_3953]) ).

cnf(i_0_5329,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_5330,plain,
    c_in(c_Relation_Oconverse(c_Relation_Oconverse(c_union(c_emptyset,c_emptyset,tc_prod(X1,X2)),X1,X2),X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_3953,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4476,i_0_5285,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461]) ).

cnf(i_0_5331,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_1461]) ).

cnf(i_0_5332,plain,
    ~ c_in(X1,c_Relation_OImage(c_Relation_Orel__comp(X2,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6,X7),X6,X8,X7),X9,X7,X8),X8),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_3953,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4476,i_0_5285,i_0_5306,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380]) ).

cnf(i_0_5333,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X3),X4,X5,X6,X7),X6,X8,X7),tc_prod(X7,X8)),
    inference(rename_variables,[],[i_0_4476]) ).

cnf(i_0_5334,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_1380]) ).

cnf(i_0_5335,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),tc_prod(X4,X3)),tc_prod(X4,X3),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X4,X3)),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_3953,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4476,i_0_5285,i_0_5306,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412]) ).

cnf(i_0_5336,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),X2),X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4803]) ).

cnf(i_0_5337,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_1412]) ).

cnf(i_0_5338,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),tc_prod(X3,X3)),tc_prod(X3,X3),tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3953,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4476,i_0_5285,i_0_5306,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416]) ).

cnf(i_0_5339,plain,
    c_in(X1,c_Relation_OImage(c_Relation_Oconverse(c_Relation_Oconverse(c_UNIV,tc_set(tc_set(t_a)),X2),X2,tc_set(tc_set(t_a))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),X2),
    inference(rename_variables,[],[i_0_4803]) ).

cnf(i_0_5340,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_1416]) ).

cnf(i_0_5341,plain,
    c_in(X1,c_Inter(c_Relation_ORange(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,tc_set(X5))),X4,tc_set(X5)),X5),X5),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3953,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504]) ).

cnf(i_0_5342,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_OImage(c_emptyset,X2,X3,tc_prod(X4,X5)),X4,X5),X5),
    inference(rename_variables,[],[i_0_3588]) ).

cnf(i_0_5343,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_1504]) ).

cnf(i_0_5344,plain,
    c_lessequals(X1,X1,c_append(c_List_Olist_ONil,c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(c_append(c_List_Olist_ONil,tc_nat,X2),X3,X4),X3,X4),X5)),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3953,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635]) ).

cnf(i_0_5345,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1635]) ).

cnf(i_0_5346,plain,
    c_in(X1,c_List_Olists(c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),tc_List_Olist(X3)),tc_List_Olist(tc_List_Olist(X3))),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_3299,i_0_5288,i_0_5291,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474]) ).

cnf(i_0_5347,plain,
    c_in(X1,c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X2),X3),X3),tc_List_Olist(X3)),
    inference(rename_variables,[],[i_0_3953]) ).

cnf(i_0_5348,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_1474]) ).

cnf(i_0_5349,plain,
    c_0 = c_times(X1,c_uminus(c_uminus(c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_3299,i_0_5288,i_0_5291,i_0_4727,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731]) ).

cnf(i_0_5350,plain,
    c_in(c_Main_OusumE__1(c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X1,X2),c_Datatype__Universe_OIn0(c_Datatype__Universe_OScons(X3,X3,X1,X2),X1,X2),X1,X2),c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4727,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393]) ).

cnf(i_0_5351,plain,
    c_in(c_Datatype__Universe_OIn0(c_Datatype__Universe_OScons(X1,X1,X2,X3),X2,X3),c_Datatype__Universe_Ousum(c_Datatype__Universe_Ouprod(c_UNIV,c_UNIV,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))),
    inference(rename_variables,[],[i_0_4744]) ).

cnf(i_0_5352,plain,
    ~ c_in(X1,c_append(c_List_Olist_ONil,c_emptyset,X2),X3),
    inference(rename_variables,[],[i_0_3055]) ).

cnf(i_0_5353,plain,
    ( ~ c_in(X1,c_Datatype__Universe_Ousum(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
    | 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))) ),
    inference(rename_variables,[],[i_0_1393]) ).

cnf(i_0_5354,plain,
    c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_List_Olist(X1)) = c_List_Olists(c_UNIV,X1),
    inference(scs_inference,[],[i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_3623,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4727,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529]) ).

cnf(i_0_5355,plain,
    c_lessequals(X1,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X2),tc_set(X2)),
    inference(rename_variables,[],[i_0_3267]) ).

cnf(i_0_5356,plain,
    c_lessequals(X1,c_List_Olists(c_UNIV,X2),tc_set(tc_List_Olist(X2))),
    inference(rename_variables,[],[i_0_3613]) ).

cnf(i_0_5357,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1529]) ).

cnf(i_0_5358,plain,
    c_in(X1,c_Relation_OImage(c_Relation_ORange(c_UNIV,X2,tc_prod(tc_set(tc_set(t_a)),X3)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X3),X3),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4727,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414]) ).

cnf(i_0_5359,plain,
    c_in(X1,c_Relation_ORange(c_UNIV,X2,X3),X3),
    inference(rename_variables,[],[i_0_2992]) ).

cnf(i_0_5360,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_1414]) ).

cnf(i_0_5361,plain,
    c_in(c_union(c_Relation_Oconverse(c_emptyset,X1,X2),c_Relation_Oconverse(c_emptyset,X1,X2),tc_prod(X2,X1)),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4727,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471]) ).

cnf(i_0_5362,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_1471]) ).

cnf(i_0_5363,plain,
    c_in(c_Main_OsubsetI__1(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(t_a)),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(t_a)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4727,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498]) ).

cnf(i_0_5364,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_1498]) ).

cnf(i_0_5365,plain,
    class_Orderings_Oord(c_append(c_append(tc_set(X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818]) ).

cnf(i_0_5366,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5367,plain,
    class_Finite__Set_Ofinite(c_append(c_append(c_append(c_List_Olist_ONil,tc_bool,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4282,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819]) ).

cnf(i_0_5368,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5369,plain,
    class_Parity_Oeven__odd(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4282,i_0_4298,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904]) ).

cnf(i_0_5370,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5371,plain,
    class_Divides_Odiv(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905]) ).

cnf(i_0_5372,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5373,plain,
    class_Nat_Opower(c_append(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822]) ).

cnf(i_0_5374,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5375,plain,
    class_Numeral_Onumber(c_append(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888]) ).

cnf(i_0_5376,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5377,plain,
    class_HOL_Ozero(c_append(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893]) ).

cnf(i_0_5378,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5379,plain,
    class_HOL_Otimes(c_append(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899]) ).

cnf(i_0_5380,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5381,plain,
    class_HOL_Oplus(c_append(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900]) ).

cnf(i_0_5382,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5383,plain,
    class_HOL_Oone(c_append(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901]) ).

cnf(i_0_5384,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5385,plain,
    class_HOL_Ominus(c_append(c_append(c_append(c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),c_List_Olist_ONil,X2),c_List_Olist_ONil,X3),c_List_Olist_ONil,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902]) ).

cnf(i_0_5386,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5387,plain,
    ~ c_in(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),X3),X4),c_append(c_List_Olex(X5,X2),c_List_Olist_ONil,X6),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_1643,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813]) ).

cnf(i_0_5388,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_5389,plain,
    ~ c_in(c_append(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil,X3),c_append(c_List_Olist_ONil,c_List_Olex(X4,X2),X5),c_append(c_List_Olist_ONil,tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)),X6)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_1643,i_0_5388,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815]) ).

cnf(i_0_5390,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_5391,plain,
    ~ c_Infinite__Set_Oatmost__one(c_append(c_List_Olist_ONil,c_List_Olists(c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)),X2),tc_List_Olist(tc_List_Olist(X1))),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_1643,i_0_5388,i_0_5390,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816]) ).

cnf(i_0_5392,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_5393,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_Union(c_Pow(c_Union(c_Finite__Set_OFinites,X1),X1),X1),X1),c_append(c_List_Olist_ONil,tc_List_Olist(X1),X2)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817]) ).

cnf(i_0_5394,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_5395,plain,
    ~ c_in(c_append(c_Pair(c_List_Olist_ONil,X1,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil,X3),c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_List_Olex(X4,X2),X5),X6),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_4505,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814]) ).

cnf(i_0_5396,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_5397,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,X1,X2),X3),c_append(c_List_Olist_ONil,tc_nat,X4)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867]) ).

cnf(i_0_5398,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_5399,plain,
    class_OrderedGroup_Osemigroup__mult(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_4014,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849]) ).

cnf(i_0_5400,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5401,plain,
    class_OrderedGroup_Osemigroup__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886]) ).

cnf(i_0_5402,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5403,plain,
    class_Orderings_Oorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906]) ).

cnf(i_0_5404,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5405,plain,
    ~ c_less(c_Datatype__Universe_OIn1(X1,X2,X3),c_append(c_Datatype__Universe_OIn1(c_Main_OusumE__2(c_UNIV,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3),c_List_Olist_ONil,X4),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865]) ).

cnf(i_0_5406,plain,
    ~ c_less(X1,c_append(X1,c_List_Olist_ONil,X2),tc_nat),
    inference(rename_variables,[],[i_0_4878]) ).

cnf(i_0_5407,plain,
    class_OrderedGroup_Oab__semigroup__mult(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827]) ).

cnf(i_0_5408,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5409,plain,
    class_OrderedGroup_Oab__semigroup__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870]) ).

cnf(i_0_5410,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5411,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_4032,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887]) ).

cnf(i_0_5412,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5413,plain,
    class_Ring__and__Field_Oaxclass__no__zero__divisors(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889]) ).

cnf(i_0_5414,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5415,plain,
    class_Ring__and__Field_Oaxclass__0__neq__1(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894]) ).

cnf(i_0_5416,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5417,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897]) ).

cnf(i_0_5418,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5419,plain,
    class_LOrder_Omeet__semilorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898]) ).

cnf(i_0_5420,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5421,plain,
    class_Orderings_Olinorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903]) ).

cnf(i_0_5422,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5423,plain,
    class_Wellfounded__Recursion_Owellorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896]) ).

cnf(i_0_5424,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5425,plain,
    c_append(c_List_Olist_ONil,c_Relation_OImage(c_UNIV,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X1),X2) = c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X3),X1),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732]) ).

cnf(i_0_5426,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_5427,plain,
    class_OrderedGroup_Omonoid__mult(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4042,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862]) ).

cnf(i_0_5428,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5429,plain,
    class_Ring__and__Field_Oaxclass__abs__if(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890]) ).

cnf(i_0_5430,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5431,plain,
    ~ c_less(X1,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,X1,X2),X3),X4),tc_nat),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866]) ).

cnf(i_0_5432,plain,
    c_append(c_List_Olist_ONil,X1,X2) = X1,
    inference(rename_variables,[],[i_0_1643]) ).

cnf(i_0_5433,plain,
    class_LOrder_Olorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4046,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895]) ).

cnf(i_0_5434,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5435,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884]) ).

cnf(i_0_5436,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5437,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885]) ).

cnf(i_0_5438,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5439,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4054,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844]) ).

cnf(i_0_5440,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5441,plain,
    class_Ring__and__Field_Osemiring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4054,i_0_4056,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869]) ).

cnf(i_0_5442,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5443,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882]) ).

cnf(i_0_5444,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5445,plain,
    class_Ring__and__Field_Ocomm__semiring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848]) ).

cnf(i_0_5446,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5447,plain,
    class_Ring__and__Field_Osemiring__0(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4062,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868]) ).

cnf(i_0_5448,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5449,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4062,i_0_4064,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881]) ).

cnf(i_0_5450,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5451,plain,
    class_OrderedGroup_Oab__group__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883]) ).

cnf(i_0_5452,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5453,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877]) ).

cnf(i_0_5454,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5455,plain,
    class_Ring__and__Field_Ocomm__semiring__0(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4070,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847]) ).

cnf(i_0_5456,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5457,plain,
    class_Ring__and__Field_Osemiring__0__cancel(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864]) ).

cnf(i_0_5458,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5459,plain,
    class_Ring__and__Field_Opordered__semiring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4074,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858]) ).

cnf(i_0_5460,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5461,plain,
    class_Ring__and__Field_Osemiring__1(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861]) ).

cnf(i_0_5462,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5463,plain,
    class_Ring__and__Field_Oring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4078,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863]) ).

cnf(i_0_5464,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5465,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4078,i_0_4080,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875]) ).

cnf(i_0_5466,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5467,plain,
    class_OrderedGroup_Oordered__cancel__ab__semigroup__add(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876]) ).

cnf(i_0_5468,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5469,plain,
    class_Ring__and__Field_Ocomm__semiring__0__cancel(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846]) ).

cnf(i_0_5470,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5471,plain,
    class_Ring__and__Field_Opordered__comm__semiring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4086,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838]) ).

cnf(i_0_5472,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5473,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4086,i_0_4088,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857]) ).

cnf(i_0_5474,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5475,plain,
    class_Ring__and__Field_Osemiring__1__cancel(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860]) ).

cnf(i_0_5476,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5477,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843]) ).

cnf(i_0_5478,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5479,plain,
    class_OrderedGroup_Olordered__ab__group(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874]) ).

cnf(i_0_5480,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5481,plain,
    class_OrderedGroup_Olordered__ab__group__join(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871]) ).

cnf(i_0_5482,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5483,plain,
    class_OrderedGroup_Olordered__ab__group__meet(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4100,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872]) ).

cnf(i_0_5484,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5485,plain,
    class_OrderedGroup_Olordered__ab__group__abs(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873]) ).

cnf(i_0_5486,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5487,plain,
    class_Ring__and__Field_Ocomm__ring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845]) ).

cnf(i_0_5488,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5489,plain,
    class_Ring__and__Field_Oring__1(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859]) ).

cnf(i_0_5490,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5491,plain,
    class_Ring__and__Field_Opordered__cancel__comm__semiring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837]) ).

cnf(i_0_5492,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5493,plain,
    class_Ring__and__Field_Ocomm__semiring__1__cancel(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4108,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842]) ).

cnf(i_0_5494,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5495,plain,
    class_Ring__and__Field_Opordered__ring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855]) ).

cnf(i_0_5496,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5497,plain,
    class_Ring__and__Field_Oordered__semiring__strict(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856]) ).

cnf(i_0_5498,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5499,plain,
    class_Power_Orecpower(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831]) ).

cnf(i_0_5500,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5501,plain,
    class_Ring__and__Field_Ocomm__ring__1(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839]) ).

cnf(i_0_5502,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5503,plain,
    class_Numeral_Onumber__ring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4116,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832]) ).

cnf(i_0_5504,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5505,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4116,i_0_4120,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836]) ).

cnf(i_0_5506,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5507,plain,
    class_Ring__and__Field_Oidom(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4116,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834]) ).

cnf(i_0_5508,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5509,plain,
    class_Ring__and__Field_Olordered__ring(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851]) ).

cnf(i_0_5510,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5511,plain,
    class_Ring__and__Field_Oordered__ring__strict(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850]) ).

cnf(i_0_5512,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5513,plain,
    class_Ring__and__Field_Oordered__semidom(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835]) ).

cnf(i_0_5514,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5515,plain,
    class_Ring__and__Field_Oordered__idom(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833]) ).

cnf(i_0_5516,plain,
    X1 = c_append(X1,c_List_Olist_ONil,X2),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_5517,plain,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455]) ).

cnf(i_0_5518,plain,
    c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(rename_variables,[],[i_0_3007]) ).

cnf(i_0_5519,plain,
    ( c_lessequals(X1,X2,tc_set(tc_set(X3)))
    | ~ c_in(X2,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_OTFin(X4,X3),tc_set(tc_set(X3)))
    | X2 != c_Zorn_Osucc(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_1455]) ).

cnf(i_0_5520,plain,
    ~ c_Infinite__Set_Oatmost__one(c_List_Olists(c_List_Olists(c_Inter(c_append(c_List_Olist_ONil,c_emptyset,X1),X2),X2),tc_List_Olist(X2)),tc_List_Olist(tc_List_Olist(X2))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527]) ).

cnf(i_0_5521,plain,
    c_in(c_List_Olist_ONil,c_List_Olists(X1,X2),tc_List_Olist(X2)),
    inference(rename_variables,[],[i_0_1621]) ).

cnf(i_0_5522,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | X1 = X4
    | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_5523,plain,
    class_Orderings_Oord(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546]) ).

cnf(i_0_5524,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__meet(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2546]) ).

cnf(i_0_5525,plain,
    class_HOL_Ozero(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941]) ).

cnf(i_0_5526,plain,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_HOL_Ozero(X1) ),
    inference(rename_variables,[],[i_0_1941]) ).

cnf(i_0_5527,plain,
    class_HOL_Otimes(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087]) ).

cnf(i_0_5528,plain,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_HOL_Otimes(X1) ),
    inference(rename_variables,[],[i_0_2087]) ).

cnf(i_0_5529,plain,
    class_HOL_Oplus(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223]) ).

cnf(i_0_5530,plain,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_HOL_Oplus(X1) ),
    inference(rename_variables,[],[i_0_2223]) ).

cnf(i_0_5531,plain,
    class_HOL_Oone(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509]) ).

cnf(i_0_5532,plain,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_HOL_Oone(X1) ),
    inference(rename_variables,[],[i_0_2509]) ).

cnf(i_0_5533,plain,
    class_HOL_Ominus(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524]) ).

cnf(i_0_5534,plain,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_HOL_Ominus(X1) ),
    inference(rename_variables,[],[i_0_2524]) ).

cnf(i_0_5535,plain,
    c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491]) ).

cnf(i_0_5536,plain,
    ( ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1491]) ).

cnf(i_0_5537,plain,
    c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,c_0,X1),X2),X3) = c_0,
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651]) ).

cnf(i_0_5538,plain,
    ( c_less(c_0,X1,tc_nat)
    | X1 = c_0 ),
    inference(rename_variables,[],[i_0_1651]) ).

cnf(i_0_5539,plain,
    class_Numeral_Onumber(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841]) ).

cnf(i_0_5540,plain,
    ( ~ class_Numeral_Onumber__ring(X1)
    | class_Numeral_Onumber(X1) ),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_5541,plain,
    class_Nat_Opower(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_IntDef_Oint,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795]) ).

cnf(i_0_5542,plain,
    ( ~ class_Power_Orecpower(X1)
    | class_Nat_Opower(X1) ),
    inference(rename_variables,[],[i_0_1795]) ).

cnf(i_0_5543,plain,
    class_Orderings_Oord(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795,i_0_2540]) ).

cnf(i_0_5544,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oord(X1) ),
    inference(rename_variables,[],[i_0_2540]) ).

cnf(i_0_5545,plain,
    class_Orderings_Oorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795,i_0_2540,i_0_2577]) ).

cnf(i_0_5546,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Oorder(X1) ),
    inference(rename_variables,[],[i_0_2577]) ).

cnf(i_0_5547,plain,
    class_LOrder_Ojoin__semilorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795,i_0_2540,i_0_2577,i_0_2043]) ).

cnf(i_0_5548,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Ojoin__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2043]) ).

cnf(i_0_5549,plain,
    class_LOrder_Omeet__semilorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795,i_0_2540,i_0_2577,i_0_2043,i_0_2058]) ).

cnf(i_0_5550,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Omeet__semilorder(X1) ),
    inference(rename_variables,[],[i_0_2058]) ).

cnf(i_0_5551,plain,
    class_Orderings_Olinorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2568]) ).

cnf(i_0_5552,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_2568]) ).

cnf(i_0_5553,plain,
    class_LOrder_Olorder(c_append(c_append(c_List_Olist_ONil,c_append(c_List_Olist_ONil,tc_nat,X1),X2),c_List_Olist_ONil,X3)),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2568,i_0_2029]) ).

cnf(i_0_5554,plain,
    ( ~ class_Wellfounded__Recursion_Owellorder(X1)
    | class_LOrder_Olorder(X1) ),
    inference(rename_variables,[],[i_0_2029]) ).

cnf(i_0_5555,plain,
    ( ~ c_in(c_Main_Ofinite__Union__1(c_insert(X1,c_emptyset,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_Union(c_insert(X1,c_emptyset,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_3888,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2568,i_0_2029,i_0_1479]) ).

cnf(i_0_5556,plain,
    c_in(c_insert(X1,c_emptyset,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3888]) ).

cnf(i_0_5557,plain,
    ( ~ 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))
    | c_in(c_Union(X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1479]) ).

cnf(i_0_5558,plain,
    ( c_in(c_Main_Ofinite__Union__1(c_insert(X1,c_emptyset,tc_set(X2)),X2),c_insert(X1,c_emptyset,tc_set(X2)),tc_set(X2))
    | c_in(c_Union(c_insert(X1,c_emptyset,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(scs_inference,[],[i_0_1442,i_0_1619,i_0_3613,i_0_3267,i_0_3633,i_0_4543,i_0_2944,i_0_5242,i_0_4803,i_0_5309,i_0_5312,i_0_5321,i_0_5336,i_0_5113,i_0_3825,i_0_3384,i_0_3055,i_0_4130,i_0_4128,i_0_4126,i_0_4116,i_0_4124,i_0_4120,i_0_4122,i_0_4118,i_0_4114,i_0_4112,i_0_4108,i_0_4110,i_0_4106,i_0_4104,i_0_4096,i_0_4100,i_0_4102,i_0_4098,i_0_4094,i_0_4092,i_0_4086,i_0_4088,i_0_4090,i_0_4084,i_0_4078,i_0_4080,i_0_4082,i_0_4074,i_0_4076,i_0_4070,i_0_4072,i_0_4068,i_0_4062,i_0_4064,i_0_4066,i_0_4060,i_0_4054,i_0_4056,i_0_4058,i_0_3953,i_0_5328,i_0_4046,i_0_4048,i_0_4050,i_0_4042,i_0_4044,i_0_4028,i_0_4030,i_0_4032,i_0_4034,i_0_4036,i_0_4038,i_0_4040,i_0_2992,i_0_5315,i_0_5318,i_0_4589,i_0_3069,i_0_3623,i_0_4014,i_0_4020,i_0_3921,i_0_4052,i_0_1646,i_0_5366,i_0_5368,i_0_5370,i_0_5372,i_0_5374,i_0_5376,i_0_5378,i_0_5380,i_0_5382,i_0_5384,i_0_5386,i_0_5400,i_0_5402,i_0_5404,i_0_5408,i_0_5410,i_0_5412,i_0_5414,i_0_5416,i_0_5418,i_0_5420,i_0_5422,i_0_5424,i_0_5428,i_0_5430,i_0_5434,i_0_5436,i_0_5438,i_0_5440,i_0_5442,i_0_5444,i_0_5446,i_0_5448,i_0_5450,i_0_5452,i_0_5454,i_0_5456,i_0_5458,i_0_5460,i_0_5462,i_0_5464,i_0_5466,i_0_5468,i_0_5470,i_0_5472,i_0_5474,i_0_5476,i_0_5478,i_0_5480,i_0_5482,i_0_5484,i_0_5486,i_0_5488,i_0_5490,i_0_5492,i_0_5494,i_0_5496,i_0_5498,i_0_5500,i_0_5502,i_0_5504,i_0_5506,i_0_5508,i_0_5510,i_0_5512,i_0_5514,i_0_1643,i_0_5388,i_0_5390,i_0_5392,i_0_5394,i_0_5396,i_0_5398,i_0_5426,i_0_4505,i_0_4016,i_0_4161,i_0_4139,i_0_3888,i_0_5556,i_0_4878,i_0_4476,i_0_5285,i_0_5306,i_0_3588,i_0_4744,i_0_3299,i_0_5288,i_0_5291,i_0_4794,i_0_5261,i_0_4727,i_0_4284,i_0_4286,i_0_4288,i_0_4290,i_0_4292,i_0_4294,i_0_4296,i_0_4282,i_0_4298,i_0_4300,i_0_3007,i_0_1621,i_0_1615,i_0_1404,i_0_1365,i_0_1366,i_0_1390,i_0_1499,i_0_1500,i_0_1501,i_0_1536,i_0_1403,i_0_1419,i_0_1420,i_0_1429,i_0_1430,i_0_1517,i_0_1468,i_0_1537,i_0_1487,i_0_1461,i_0_1380,i_0_1412,i_0_1416,i_0_1504,i_0_1635,i_0_1474,i_0_2731,i_0_1393,i_0_1529,i_0_1414,i_0_1471,i_0_1498,i_0_2818,i_0_2819,i_0_2904,i_0_2905,i_0_2822,i_0_2888,i_0_2893,i_0_2899,i_0_2900,i_0_2901,i_0_2902,i_0_2813,i_0_2815,i_0_2816,i_0_2817,i_0_2814,i_0_2867,i_0_2849,i_0_2886,i_0_2906,i_0_2865,i_0_2827,i_0_2870,i_0_2887,i_0_2889,i_0_2894,i_0_2897,i_0_2898,i_0_2903,i_0_2896,i_0_2732,i_0_2862,i_0_2890,i_0_2866,i_0_2895,i_0_2884,i_0_2885,i_0_2844,i_0_2869,i_0_2882,i_0_2848,i_0_2868,i_0_2881,i_0_2883,i_0_2877,i_0_2847,i_0_2864,i_0_2858,i_0_2861,i_0_2863,i_0_2875,i_0_2876,i_0_2846,i_0_2838,i_0_2857,i_0_2860,i_0_2843,i_0_2874,i_0_2871,i_0_2872,i_0_2873,i_0_2845,i_0_2859,i_0_2837,i_0_2842,i_0_2855,i_0_2856,i_0_2831,i_0_2839,i_0_2832,i_0_2836,i_0_2834,i_0_2851,i_0_2850,i_0_2835,i_0_2833,i_0_1455,i_0_1527,i_0_2546,i_0_1941,i_0_2087,i_0_2223,i_0_2509,i_0_2524,i_0_1491,i_0_1651,i_0_1841,i_0_1795,i_0_2540,i_0_2577,i_0_2043,i_0_2058,i_0_2568,i_0_2029,i_0_1479,i_0_1494]) ).

cnf(i_0_5559,plain,
    c_in(c_insert(X1,c_emptyset,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(rename_variables,[],[i_0_3888]) ).

cnf(i_0_5560,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_1494]) ).

cnf(i_0_5561,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,c_emptyset,X4,X5,X6),X5,X7,X6),tc_prod(X6,X7)),
    inference(scs_inference,[],[i_0_2950,i_0_1365]) ).

cnf(i_0_5562,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_emptyset,X3,X4,X5),tc_prod(X5,X4)),
    inference(rename_variables,[],[i_0_2950]) ).

cnf(i_0_5563,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_1365]) ).

cnf(i_0_5564,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_Orel__comp(X2,c_emptyset,X3,X4,X5),X6,X5,X4,X7),tc_prod(X7,X4)),
    inference(scs_inference,[],[i_0_2950,i_0_5562,i_0_1365,i_0_1366]) ).

cnf(i_0_5565,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_emptyset,X3,X4,X5),tc_prod(X5,X4)),
    inference(rename_variables,[],[i_0_2950]) ).

cnf(i_0_5566,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_1366]) ).

cnf(i_0_5567,plain,
    ~ c_in(X1,c_Relation_Oconverse(c_Relation_Orel__comp(X2,c_emptyset,X3,X4,X5),X5,X4),tc_prod(X4,X5)),
    inference(scs_inference,[],[i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390]) ).

cnf(i_0_5568,plain,
    ~ c_in(X1,c_Relation_Orel__comp(X2,c_emptyset,X3,X4,X5),tc_prod(X5,X4)),
    inference(rename_variables,[],[i_0_2950]) ).

cnf(i_0_5569,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_1390]) ).

cnf(i_0_5570,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Relation_Orel__comp(c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),X7,X6,X5,X8),X8,X5),X8),
    inference(scs_inference,[],[i_0_4479,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404]) ).

cnf(i_0_5571,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),X7,X6,X5,X8),tc_prod(X8,X5)),
    inference(rename_variables,[],[i_0_4479]) ).

cnf(i_0_5572,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_1404]) ).

cnf(i_0_5573,plain,
    c_in(c_inter(c_union(c_union(c_List_Oset(X1,X2),c_List_Oset(X1,X2),X2),c_emptyset,X2),X3,X2),c_Finite__Set_OFinites,tc_set(X2)),
    inference(scs_inference,[],[i_0_4273,i_0_4479,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499]) ).

cnf(i_0_5574,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X1,X3,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_5575,plain,
    c_in(c_inter(X1,c_union(c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),c_emptyset,X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_4273,i_0_4479,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500]) ).

cnf(i_0_5576,plain,
    ( ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
    | c_in(c_inter(X3,X1,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_5577,plain,
    c_lessequals(v_m,c_Union(c_Union(c_Pow(c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_3364,i_0_4273,i_0_4479,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536]) ).

cnf(i_0_5578,plain,
    ( ~ c_in(X1,X2,tc_set(X3))
    | c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1536]) ).

cnf(i_0_5579,plain,
    c_in(X1,c_Relation_ODomain(c_Relation_OImage(c_Relation_ORange(c_UNIV,X2,tc_prod(tc_set(tc_set(t_a)),tc_prod(X3,X4))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X3,X4)),X3,X4),X3),
    inference(scs_inference,[],[i_0_3364,i_0_5358,i_0_4273,i_0_4479,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419]) ).

cnf(i_0_5580,plain,
    c_in(X1,c_Relation_OImage(c_Relation_ORange(c_UNIV,X2,tc_prod(tc_set(tc_set(t_a)),X3)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X3),X3),
    inference(rename_variables,[],[i_0_5358]) ).

cnf(i_0_5581,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_1419]) ).

cnf(i_0_5582,plain,
    c_in(X1,c_Relation_ORange(c_Relation_OImage(c_Relation_ORange(c_UNIV,X2,tc_prod(tc_set(tc_set(t_a)),tc_prod(X3,X4))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X3,X4)),X3,X4),X4),
    inference(scs_inference,[],[i_0_3364,i_0_5358,i_0_5580,i_0_4273,i_0_4479,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420]) ).

cnf(i_0_5583,plain,
    c_in(X1,c_Relation_OImage(c_Relation_ORange(c_UNIV,X2,tc_prod(tc_set(tc_set(t_a)),X3)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X3),X3),
    inference(rename_variables,[],[i_0_5358]) ).

cnf(i_0_5584,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_1420]) ).

cnf(i_0_5585,plain,
    c_in(c_insert(X1,c_union(c_union(c_List_Oset(X2,X3),c_List_Oset(X2,X3),X3),c_emptyset,X3),X3),c_Finite__Set_OFinites,tc_set(X3)),
    inference(scs_inference,[],[i_0_3364,i_0_5358,i_0_5580,i_0_4273,i_0_4479,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420,i_0_1501]) ).

cnf(i_0_5586,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_1501]) ).

cnf(i_0_5587,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Relation_OImage(c_Relation_ORange(c_UNIV,X2,tc_prod(tc_set(tc_set(t_a)),tc_prod(X3,X3))),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_3364,i_0_5358,i_0_5580,i_0_5583,i_0_4273,i_0_4479,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420,i_0_1501,i_0_1517]) ).

cnf(i_0_5588,plain,
    c_in(X1,c_Relation_OImage(c_Relation_ORange(c_UNIV,X2,tc_prod(tc_set(tc_set(t_a)),X3)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)),X3),X3),
    inference(rename_variables,[],[i_0_5358]) ).

cnf(i_0_5589,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1517]) ).

cnf(i_0_5590,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_Orel__comp(c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),X7,X6,X5,X8),X8,X5),X5),
    inference(scs_inference,[],[i_0_3364,i_0_5358,i_0_5580,i_0_5583,i_0_4273,i_0_4479,i_0_5571,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420,i_0_1501,i_0_1517,i_0_1403]) ).

cnf(i_0_5591,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_Relation_Orel__comp(c_append(c_List_Olist_ONil,c_emptyset,X2),X3,X4,X5,X6),X7,X6,X5,X8),tc_prod(X8,X5)),
    inference(rename_variables,[],[i_0_4479]) ).

cnf(i_0_5592,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_1403]) ).

cnf(i_0_5593,plain,
    c_in(c_Datatype__Universe_OIn1(c_union(c_emptyset,c_emptyset,tc_Datatype__Universe_Onode(X1,X2)),X1,X2),c_Datatype__Universe_Ousum(X3,c_Finite__Set_OFinites,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_3364,i_0_5358,i_0_5580,i_0_5583,i_0_3975,i_0_4273,i_0_4479,i_0_5571,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420,i_0_1501,i_0_1517,i_0_1403,i_0_1429]) ).

cnf(i_0_5594,plain,
    c_in(c_union(c_emptyset,c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_3975]) ).

cnf(i_0_5595,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_1429]) ).

cnf(i_0_5596,plain,
    c_in(c_Datatype__Universe_OIn0(c_union(c_emptyset,c_emptyset,tc_Datatype__Universe_Onode(X1,X2)),X1,X2),c_Datatype__Universe_Ousum(c_Finite__Set_OFinites,X3,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))),
    inference(scs_inference,[],[i_0_3364,i_0_5358,i_0_5580,i_0_5583,i_0_3975,i_0_5594,i_0_4273,i_0_4479,i_0_5571,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420,i_0_1501,i_0_1517,i_0_1403,i_0_1429,i_0_1430]) ).

cnf(i_0_5597,plain,
    c_in(c_union(c_emptyset,c_emptyset,X1),c_Finite__Set_OFinites,tc_set(X1)),
    inference(rename_variables,[],[i_0_3975]) ).

cnf(i_0_5598,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_1430]) ).

cnf(i_0_5599,plain,
    c_in(v_m,c_Pow(c_Union(c_Union(c_UNIV,tc_set(tc_set(t_a))),tc_set(t_a)),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(scs_inference,[],[i_0_4226,i_0_3364,i_0_5358,i_0_5580,i_0_5583,i_0_3975,i_0_5594,i_0_4273,i_0_4479,i_0_5571,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420,i_0_1501,i_0_1517,i_0_1403,i_0_1429,i_0_1430,i_0_1537]) ).

cnf(i_0_5600,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_5601,plain,
    c_in(c_Zorn_Osucc(X1,c_Zorn_Osucc(X1,c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X2),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
    inference(scs_inference,[],[i_0_4226,i_0_3364,i_0_5323,i_0_5358,i_0_5580,i_0_5583,i_0_3975,i_0_5594,i_0_4273,i_0_4479,i_0_5571,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420,i_0_1501,i_0_1517,i_0_1403,i_0_1429,i_0_1430,i_0_1537,i_0_1468]) ).

cnf(i_0_5602,plain,
    ( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
    | c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_5603,plain,
    $false,
    inference(scs_inference,[],[i_0_1442,i_0_4226,i_0_3364,i_0_5323,i_0_5358,i_0_5580,i_0_5583,i_0_5363,i_0_3975,i_0_5594,i_0_4273,i_0_4479,i_0_5571,i_0_2950,i_0_5562,i_0_5565,i_0_1365,i_0_1366,i_0_1390,i_0_1404,i_0_1499,i_0_1500,i_0_1536,i_0_1419,i_0_1420,i_0_1501,i_0_1517,i_0_1403,i_0_1429,i_0_1430,i_0_1537,i_0_1468,i_0_1487]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SET846-1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n027.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 02:39:05 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 27.94/20.73  % Version  : CSE_E---1.7
% 27.94/20.73  % Problem  : theBenchmark.p
% 27.94/20.73  % SZS status Unsatisfiable for theBenchmark.p
% 27.94/20.73  % SZS output start CNFRefutation
% See solution above
% 92.82/63.73  % Total time : 20.394s
%------------------------------------------------------------------------------