%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n026.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  : 600s
% DateTime : Mon Jul 18 21:37:48 EDT 2022

% Result   : Theorem 4.88s 5.11s
% Output   : CNFRefutation 4.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Cycle in a tree)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X18,X4,X41,X42,X43,X44,X16,X5] :
      ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X44,X43),c_Product__Type_OPair(X5,X16,X42,X41)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
     => ( hBOOL(hAPP(hAPP(X18,X42),X41))
       => ( ! [X21,X22,X45,X46] :
              ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X21,X22),c_Product__Type_OPair(X5,X16,X45,X46)),X4)
             => ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X45,X46),c_Product__Type_OPair(X5,X16,X42,X41)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
               => ( hBOOL(hAPP(hAPP(X18,X45),X46))
                 => hBOOL(hAPP(hAPP(X18,X21),X22)) ) ) )
         => hBOOL(hAPP(hAPP(X18,X44),X43)) ) ) ),
    file('<stdin>',fact_converse__rtrancl__induct2) ).

fof(c_0_1,axiom,
    ! [X18,X4,X41,X42,X43,X44,X16,X5] :
      ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X44,X43),c_Product__Type_OPair(X5,X16,X42,X41)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
     => ( hBOOL(hAPP(hAPP(X18,X44),X43))
       => ( ! [X21,X22] :
              ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X44,X43),c_Product__Type_OPair(X5,X16,X21,X22)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
             => ! [X45,X46] :
                  ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X21,X22),c_Product__Type_OPair(X5,X16,X45,X46)),X4)
                 => ( hBOOL(hAPP(hAPP(X18,X21),X22))
                   => hBOOL(hAPP(hAPP(X18,X45),X46)) ) ) )
         => hBOOL(hAPP(hAPP(X18,X42),X41)) ) ) ),
    file('<stdin>',fact_rtrancl__induct2) ).

fof(c_0_2,axiom,
    ! [X4,X47,X48,X49,X50,X16,X5] :
      ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X50,X49),c_Product__Type_OPair(X5,X16,X48,X47)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
     => ( c_Product__Type_OPair(X5,X16,X50,X49) != c_Product__Type_OPair(X5,X16,X48,X47)
       => ~ ! [X21,X22] :
              ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X50,X49),c_Product__Type_OPair(X5,X16,X21,X22)),X4)
             => ~ c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X21,X22),c_Product__Type_OPair(X5,X16,X48,X47)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4)) ) ) ),
    file('<stdin>',fact_converse__rtranclE2) ).

fof(c_0_3,axiom,
    ! [X87,X36,X35,X88,X89,X16,X5] :
      ( c_Nitpick_Ofold__graph_H(X5,X16,X89,X88,X35,hAPP(hAPP(X89,X36),X87))
    <=> ( ( X35 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
          & hAPP(hAPP(X89,X36),X87) = X88 )
        | ? [X3,X6] :
            ( hAPP(hAPP(X89,X36),X87) = hAPP(hAPP(X89,X3),X6)
            & c_member(X5,X3,X35)
            & c_Nitpick_Ofold__graph_H(X5,X16,X89,X88,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X35,c_Set_Oinsert(X5,X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X6) ) ) ),
    file('<stdin>',fact_fold__graph_H_Oequations_I2_J) ).

fof(c_0_4,axiom,
    ! [X35,X36,X37,X15,X16,X5] :
      ( c_Recdef_Owfrec__rel(X5,X16,X15,X37,X36,hAPP(hAPP(X37,X35),X36))
    <=> ? [X38] :
          ( hAPP(hAPP(X37,X35),X36) = hAPP(hAPP(X37,X38),X36)
          & ! [X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X36),X15)
             => c_Recdef_Owfrec__rel(X5,X16,X15,X37,X7,hAPP(X38,X7)) ) ) ),
    file('<stdin>',fact_wfrec__rel_Oequations) ).

fof(c_0_5,axiom,
    ! [X35,X36,X37,X15,X16,X5] :
      ( c_Recdef_Owfrec__rel(X5,X16,X15,X37,X36,X35)
    <=> ? [X38] :
          ( X35 = hAPP(hAPP(X37,X38),X36)
          & ! [X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X36),X15)
             => c_Recdef_Owfrec__rel(X5,X16,X15,X37,X7,hAPP(X38,X7)) ) ) ),
    file('<stdin>',fact_wfrec__rel_Osimps) ).

fof(c_0_6,axiom,
    ! [X1,X37,X16,X15,X14,X5] :
      ( ! [X7] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X14),X15)
         => c_Recdef_Owfrec__rel(X5,X16,X15,X37,X7,hAPP(X1,X7)) )
     => c_Recdef_Owfrec__rel(X5,X16,X15,X37,X14,hAPP(hAPP(X37,X1),X14)) ),
    file('<stdin>',fact_wfrec__rel_Ointros) ).

fof(c_0_7,axiom,
    ! [X1,X14,X4,X2,X16,X5] :
      ( c_Recdef_Ocut(X5,X16,X2,X4,X14) = c_Recdef_Ocut(X5,X16,X1,X4,X14)
    <=> ! [X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X14),X4)
         => hAPP(X2,X6) = hAPP(X1,X6) ) ),
    file('<stdin>',fact_cuts__eq) ).

fof(c_0_8,axiom,
    ! [X9,X10,X2,X16,X5] :
      ( hBOOL(c_Product__Type_Ocurry(X5,X16,tc_HOL_Obool,X2,X10,X9))
     => hBOOL(hAPP(X2,c_Product__Type_OPair(X5,X16,X10,X9))) ),
    file('<stdin>',fact_curryE) ).

fof(c_0_9,axiom,
    ! [X9,X10,X2,X16,X5] :
      ( hBOOL(c_Product__Type_Ocurry(X5,X16,tc_HOL_Obool,X2,X10,X9))
     => hBOOL(hAPP(X2,c_Product__Type_OPair(X5,X16,X10,X9))) ),
    file('<stdin>',fact_curryD) ).

fof(c_0_10,axiom,
    ! [X13,X39,X2,X16,X12,X14,X5] :
      ( c_member(X5,X14,X12)
     => ( c_Nitpick_Ofold__graph_H(X5,X16,X2,X39,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X13)
       => c_Nitpick_Ofold__graph_H(X5,X16,X2,X39,X12,hAPP(hAPP(X2,X14),X13)) ) ),
    file('<stdin>',fact_fold__graph_H_Ointros_I2_J) ).

fof(c_0_11,axiom,
    ! [X9,X10,X16,X5,X2] :
      ( hBOOL(hAPP(X2,c_Product__Type_OPair(X5,X16,X10,X9)))
     => hBOOL(c_Product__Type_Ocurry(X5,X16,tc_HOL_Obool,X2,X10,X9)) ),
    file('<stdin>',fact_curryI) ).

fof(c_0_12,axiom,
    ! [X56,X18,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X18,X56)))
     => ( ! [X3] :
            ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X3),c_Transitive__Closure_Ortrancl(X5,X18))
           => ! [X6] :
                ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X56)
               => X3 = X6 ) )
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X18)) ) ),
    file('<stdin>',fact_rtrancl__Un__separatorE) ).

fof(c_0_13,axiom,
    ! [X56,X18,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X18,X56)))
     => ( ! [X3] :
            ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X9),c_Transitive__Closure_Ortrancl(X5,X18))
           => ! [X6] :
                ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X3),X56)
               => X6 = X3 ) )
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X18)) ) ),
    file('<stdin>',fact_rtrancl__Un__separator__converseE) ).

fof(c_0_14,axiom,
    ! [X18,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( hBOOL(hAPP(X18,X10))
       => ( ! [X6] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X6),c_Transitive__Closure_Ortrancl(X5,X4))
             => ! [X7] :
                  ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X4)
                 => ( hBOOL(hAPP(X18,X6))
                   => hBOOL(hAPP(X18,X7)) ) ) )
         => hBOOL(hAPP(X18,X9)) ) ) ),
    file('<stdin>',fact_rtrancl__induct) ).

fof(c_0_15,axiom,
    ! [X18,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( hBOOL(hAPP(X18,X9))
       => ( ! [X6,X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X4)
             => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X9),c_Transitive__Closure_Ortrancl(X5,X4))
               => ( hBOOL(hAPP(X18,X7))
                 => hBOOL(hAPP(X18,X6)) ) ) )
         => hBOOL(hAPP(X18,X10)) ) ) ),
    file('<stdin>',fact_converse__rtrancl__induct) ).

fof(c_0_16,axiom,
    ! [X14,X37,X15,X5,X16] : c_Nitpick_Owf__wfrec_H(X16,X5,X15,X37,X14) = hAPP(hAPP(X37,c_Recdef_Ocut(X16,X5,c_Nitpick_Owf__wfrec(X16,X5,X15,X37),X15,X14)),X14),
    file('<stdin>',fact_Nitpick_Owf__wfrec_H__def) ).

fof(c_0_17,axiom,
    ! [X11,X12,X4,X5] :
      ( c_Order__Relation_Opreorder__on(X5,c_Relation_OField(X5,X4),X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Relation_OField(X5,X4))
       => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,c_Relation_OField(X5,X4))
         => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X5,X5,X4,X12),c_Relation_OImage(X5,X5,X4,X11))
          <=> ! [X3] :
                ( c_member(X5,X3,X12)
               => ? [X32] :
                    ( c_member(X5,X32,X11)
                    & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X32,X3),X4) ) ) ) ) ) ),
    file('<stdin>',fact_subset__Image__Image__iff) ).

fof(c_0_18,axiom,
    ! [X16,X5,X64,X52] :
      ( c_Wellfounded_Owf(X5,X52)
     => ! [X3] : hAPP(c_Recdef_Owfrec(X5,X16,X52,X64),X3) = hAPP(hAPP(X64,c_Recdef_Ocut(X5,X16,c_Recdef_Owfrec(X5,X16,X52,X64),X52,X3)),X3) ),
    file('<stdin>',fact_tfl__wfrec) ).

fof(c_0_19,axiom,
    ! [X10,X63,X16,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => hAPP(c_Recdef_Owfrec(X5,X16,X4,X63),X10) = hAPP(hAPP(X63,c_Recdef_Ocut(X5,X16,c_Recdef_Owfrec(X5,X16,X4,X63),X4,X10)),X10) ),
    file('<stdin>',fact_wfrec) ).

fof(c_0_20,axiom,
    ! [X9,X10,X2,X5,X30,X16] : c_Product__Type_Ocurry(X16,X30,X5,X2,X10,X9) = hAPP(X2,c_Product__Type_OPair(X16,X30,X10,X9)),
    file('<stdin>',fact_curry__conv) ).

fof(c_0_21,axiom,
    ! [X31,X4,X23,X24,X9,X10,X16,X5] :
      ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),c_Product__Type_OPair(X5,X16,X24,X23)),c_Wellfounded_Olex__prod(X5,X16,X4,X31))
    <=> ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X24),X4)
        | ( X10 = X24
          & c_member(tc_prod(X16,X16),c_Product__Type_OPair(X16,X16,X9,X23),X31) ) ) ),
    file('<stdin>',fact_in__lex__prod) ).

fof(c_0_22,axiom,
    ! [X12,X4,X16,X9,X5] :
      ( c_member(X5,X9,c_Relation_OImage(X16,X5,X4,X12))
     => ~ ! [X3] :
            ( c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X3,X9),X4)
           => ~ c_member(X16,X3,X12) ) ),
    file('<stdin>',fact_ImageE) ).

fof(c_0_23,axiom,
    ! [X12,X4,X16,X9,X5] :
      ( c_member(X5,X9,c_Relation_OImage(X16,X5,X4,X12))
    <=> ? [X3] :
          ( c_member(X16,X3,X12)
          & c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X3,X9),X4) ) ),
    file('<stdin>',fact_Image__iff) ).

fof(c_0_24,axiom,
    c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    file('<stdin>',fact_max__weak__def) ).

fof(c_0_25,axiom,
    c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    file('<stdin>',fact_min__weak__def) ).

fof(c_0_26,axiom,
    ! [X35,X36,X16,X5] : c_Nitpick_Ofold__graph_H(X5,X16,X36,X35,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X35),
    file('<stdin>',fact_fold__graph_H_Oequations_I1_J) ).

fof(c_0_27,axiom,
    ! [X39,X2,X16,X5] : c_Nitpick_Ofold__graph_H(X5,X16,X2,X39,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X39),
    file('<stdin>',fact_fold__graph_H_Ointros_I1_J) ).

fof(c_0_28,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Relation_Orel__comp(X5,X5,X5,X12,X11) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))
     => ( c_Relation_Orel__comp(X5,X5,X5,X12,X54) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))
       => c_Relation_Orel__comp(X5,X5,X5,X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X11,X54)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool)) ) ),
    file('<stdin>',fact_union__comp__emptyR) ).

fof(c_0_29,axiom,
    ! [X10,X63,X4,X16,X5,X2] :
      ( X2 = c_Recdef_Owfrec(X5,X16,X4,X63)
     => ( c_Wellfounded_Owf(X5,X4)
       => hAPP(X2,X10) = hAPP(hAPP(X63,c_Recdef_Ocut(X5,X16,X2,X4,X10)),X10) ) ),
    file('<stdin>',fact_def__wfrec) ).

fof(c_0_30,axiom,
    ! [X55,X15,X5] :
      ( c_Wellfounded_Owf(X5,X15)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Relation_Orel__comp(X5,X5,X5,X15,X55),X15)
       => c_FunDef_Oreduction__pair(X5,c_Product__Type_OPair(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55)) ) ),
    file('<stdin>',fact_reduction__pairI) ).

fof(c_0_31,axiom,
    ! [X31,X8,X30,X4,X9,X10,X16,X5] :
      ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)
     => ( c_member(tc_prod(X16,X30),c_Product__Type_OPair(X16,X30,X9,X8),X31)
       => c_member(tc_prod(X5,X30),c_Product__Type_OPair(X5,X30,X10,X8),c_Relation_Orel__comp(X5,X16,X30,X4,X31)) ) ),
    file('<stdin>',fact_rel__compI) ).

fof(c_0_32,axiom,
    ! [X83,X13,X84,X14] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X84)
     => ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X13),c_FunDef_Opair__leq)
       => ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,X83),c_FunDef_Omin__weak)
         => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X13,X83)),c_FunDef_Omin__weak) ) ) ),
    file('<stdin>',fact_wmin__insertI) ).

fof(c_0_33,axiom,
    ! [X84,X14,X83,X13] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X13,X83)
     => ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X13),c_FunDef_Opair__leq)
       => ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,X83),c_FunDef_Omax__weak)
         => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X84),X83),c_FunDef_Omax__weak) ) ) ),
    file('<stdin>',fact_wmax__insertI) ).

fof(c_0_34,axiom,
    ! [X83,X13,X84,X14] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X84)
     => ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X13),c_FunDef_Opair__less)
       => ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,X83),c_FunDef_Omin__strict)
         => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X13,X83)),c_FunDef_Omin__strict) ) ) ),
    file('<stdin>',fact_smin__insertI) ).

fof(c_0_35,axiom,
    ! [X81,X14,X82,X13] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X13,X82)
     => ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X13),c_FunDef_Opair__less)
       => ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X81,X82),c_FunDef_Omax__strict)
         => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X81),X82),c_FunDef_Omax__strict) ) ) ),
    file('<stdin>',fact_smax__insertI) ).

fof(c_0_36,axiom,
    ! [X5,X15,X13,X17,X16,X14,X18] :
      ( hBOOL(hAPP(X18,X14))
     => ( c_member(tc_prod(X16,X16),c_Product__Type_OPair(X16,X16,X17,X13),hAPP(X15,X14))
       => c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X14,X17),c_Product__Type_OPair(X5,X16,X14,X13)),c_Recdef_Osame__fst(X5,X16,X18,X15)) ) ),
    file('<stdin>',fact_same__fstI) ).

fof(c_0_37,axiom,
    ! [X9,X10,X4,X5] :
      ( c_Order__Relation_Opreorder__on(X5,c_Relation_OField(X5,X4),X4)
     => ( c_member(X5,X10,c_Relation_OField(X5,X4))
       => ( c_member(X5,X9,c_Relation_OField(X5,X4))
         => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))))
          <=> c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X10),X4) ) ) ) ),
    file('<stdin>',fact_subset__Image1__Image1__iff) ).

fof(c_0_38,axiom,
    ! [X66,X54,X15,X11,X12,X5] :
      ( c_member(tc_prod(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool),X12,X11),c_Wellfounded_Omax__ext(X5,X15))
     => ( c_member(tc_prod(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool),X54,X66),c_Wellfounded_Omax__ext(X5,X15))
       => c_member(tc_prod(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X54),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X66)),c_Wellfounded_Omax__ext(X5,X15)) ) ),
    file('<stdin>',fact_max__ext__additive) ).

fof(c_0_39,axiom,
    ! [X10,X9,X4,X12,X5] :
      ( c_Equiv__Relations_Oequiv(X5,X12,X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))))
       => ( c_member(X5,X9,X12)
         => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4) ) ) ),
    file('<stdin>',fact_subset__equiv__class) ).

fof(c_0_40,axiom,
    ! [X18,X11,X12,X5] :
      ( ! [X3] :
          ( c_member(X5,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11))
         => hBOOL(hAPP(X18,X3)) )
    <=> ( ! [X3] :
            ( c_member(X5,X3,X12)
           => hBOOL(hAPP(X18,X3)) )
        & ! [X3] :
            ( c_member(X5,X3,X11)
           => hBOOL(hAPP(X18,X3)) ) ) ),
    file('<stdin>',fact_ball__Un) ).

fof(c_0_41,axiom,
    ! [X13,X14,X4,X5] :
      ( ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),X4)
       => X14 != X13 ) ),
    file('<stdin>',fact_irrefl__trancl__rD) ).

fof(c_0_42,axiom,
    ! [X1,X2,X5,X16] :
      ( class_Orderings_Oord(X16)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X2,X1)
      <=> ! [X3] : c_Orderings_Oord__class_Oless__eq(X16,hAPP(X2,X3),hAPP(X1,X3)) ) ),
    file('<stdin>',fact_le__fun__def) ).

fof(c_0_43,axiom,
    ! [X16,X10,X14,X5,X51,X52] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X10),X52)
     => hAPP(c_Recdef_Ocut(X5,X16,X51,X52,X10),X14) = hAPP(X51,X14) ),
    file('<stdin>',fact_tfl__cut__apply) ).

fof(c_0_44,axiom,
    ! [X2,X16,X4,X10,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X10),X4)
     => hAPP(c_Recdef_Ocut(X5,X16,X2,X4,X10),X14) = hAPP(X2,X14) ),
    file('<stdin>',fact_cut__apply) ).

fof(c_0_45,axiom,
    ! [X39,X13,X14,X4,X5] :
      ( c_Relation_Osingle__valued(X5,X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X4))
       => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),c_Transitive__Closure_Ortrancl(X5,X4))
         => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X39),c_Transitive__Closure_Ortrancl(X5,X4))
            | c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X39,X13),c_Transitive__Closure_Ortrancl(X5,X4)) ) ) ) ),
    file('<stdin>',fact_single__valued__confluent) ).

fof(c_0_46,axiom,
    ! [X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => ( ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
       => ~ ! [X53] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X53),c_Transitive__Closure_Otrancl(X5,X4))
             => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X53,X9),X4) ) ) ),
    file('<stdin>',fact_tranclE) ).

fof(c_0_47,axiom,
    ! [X4,X39,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),c_Transitive__Closure_Otrancl(X5,X4))
     => ( ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),X4)
       => ~ ! [X6] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X6),X4)
             => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X39),c_Transitive__Closure_Otrancl(X5,X4)) ) ) ),
    file('<stdin>',fact_converse__tranclE) ).

fof(c_0_48,axiom,
    ! [X16,X5,X18] :
      ( ! [X20] : hBOOL(hAPP(X18,X20))
    <=> ! [X21,X22] : hBOOL(hAPP(X18,c_Product__Type_OPair(X5,X16,X21,X22))) ),
    file('<stdin>',fact_split__paired__All) ).

fof(c_0_49,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)),
    file('<stdin>',fact_min__rpair__set) ).

fof(c_0_50,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)),
    file('<stdin>',fact_max__rpair__set) ).

fof(c_0_51,axiom,
    ! [X80,X31,X9,X10] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X10,X9)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31,X80)
       => c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X10,X31),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X9,X80)),c_FunDef_Opair__leq) ) ),
    file('<stdin>',fact_pair__leqI2) ).

fof(c_0_52,axiom,
    ! [X80,X31,X9,X10] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X10,X9)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31,X80)
       => c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X10,X31),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X9,X80)),c_FunDef_Opair__less) ) ),
    file('<stdin>',fact_pair__lessI2) ).

fof(c_0_53,axiom,
    ! [X4,X14,X13,X5] :
      ( c_Wellfounded_Owf(X5,c_Set_Oinsert(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X14),X4))
    <=> ( c_Wellfounded_Owf(X5,X4)
        & ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    file('<stdin>',fact_wf__insert) ).

fof(c_0_54,axiom,
    ! [X4,X14,X13,X5] :
      ( c_Wellfounded_Oacyclic(X5,c_Set_Oinsert(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X14),X4))
    <=> ( c_Wellfounded_Oacyclic(X5,X4)
        & ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    file('<stdin>',fact_acyclic__insert) ).

fof(c_0_55,axiom,
    ! [X80,X31,X9,X10] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10,X9)
     => c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X10,X31),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X9,X80)),c_FunDef_Opair__leq) ),
    file('<stdin>',fact_pair__leqI1) ).

fof(c_0_56,axiom,
    ! [X80,X31,X9,X10] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10,X9)
     => c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X10,X31),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X9,X80)),c_FunDef_Opair__less) ),
    file('<stdin>',fact_pair__lessI1) ).

fof(c_0_57,axiom,
    ! [X4,X5] : c_Transitive__Closure_Ortrancl(X5,X4) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Relation_OId(X5),c_Relation_Orel__comp(X5,X5,X5,c_Transitive__Closure_Ortrancl(X5,X4),X4)),
    file('<stdin>',fact_rtrancl__unfold) ).

fof(c_0_58,axiom,
    ! [X4,X39,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( X14 != X39
       => ~ ! [X6] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X6),X4)
             => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X39),c_Transitive__Closure_Ortrancl(X5,X4)) ) ) ),
    file('<stdin>',fact_converse__rtranclE) ).

fof(c_0_59,axiom,
    ! [X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( X10 != X9
       => ~ ! [X6] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X6),c_Transitive__Closure_Ortrancl(X5,X4))
             => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X9),X4) ) ) ),
    file('<stdin>',fact_rtranclE) ).

fof(c_0_60,axiom,
    ! [X15,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Otrancl(X5,X15))
     => ? [X7] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X7),X15)
          & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X13),c_Transitive__Closure_Ortrancl(X5,X15)) ) ),
    file('<stdin>',fact_tranclD) ).

fof(c_0_61,axiom,
    ! [X15,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Otrancl(X5,X15))
     => ? [X7] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X7),c_Transitive__Closure_Ortrancl(X5,X15))
          & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X13),X15) ) ),
    file('<stdin>',fact_tranclD2) ).

fof(c_0_62,axiom,
    ! [X39,X4,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X39),c_Transitive__Closure_Otrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    file('<stdin>',fact_rtrancl__trancl__trancl) ).

fof(c_0_63,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    file('<stdin>',fact_trancl__rtrancl__trancl) ).

fof(c_0_64,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Otrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    file('<stdin>',fact_trancl__trans) ).

fof(c_0_65,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    file('<stdin>',fact_rtrancl__trans) ).

fof(c_0_66,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X4)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    file('<stdin>',fact_rtrancl__into__trancl1) ).

fof(c_0_67,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    file('<stdin>',fact_rtrancl__into__trancl2) ).

fof(c_0_68,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X4)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    file('<stdin>',fact_Transitive__Closure_Otrancl__into__trancl) ).

fof(c_0_69,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Otrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    file('<stdin>',fact_trancl__into__trancl2) ).

fof(c_0_70,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X4)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    file('<stdin>',fact_rtrancl_Ortrancl__into__rtrancl) ).

fof(c_0_71,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    file('<stdin>',fact_converse__rtrancl__into__rtrancl) ).

fof(c_0_72,axiom,
    ! [X18,X11,X12,X5] :
      ( ? [X3] :
          ( c_member(X5,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11))
          & hBOOL(hAPP(X18,X3)) )
    <=> ( ? [X3] :
            ( c_member(X5,X3,X12)
            & hBOOL(hAPP(X18,X3)) )
        | ? [X3] :
            ( c_member(X5,X3,X11)
            & hBOOL(hAPP(X18,X3)) ) ) ),
    file('<stdin>',fact_bex__Un) ).

fof(c_0_73,axiom,
    ! [X8,X15,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X15)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X15)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X15)) ) ),
    file('<stdin>',fact_r__r__into__trancl) ).

fof(c_0_74,axiom,
    ! [X8,X9,X10,X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
       => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X4)
         => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),X4) ) ) ),
    file('<stdin>',fact_transD) ).

fof(c_0_75,axiom,
    ! [X4,X5] :
      ( c_Relation_Otrans(X5,X4)
    <=> ! [X3,X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X4)
         => ! [X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X4)
             => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X7),X4) ) ) ),
    file('<stdin>',fact_trans__def) ).

fof(c_0_76,axiom,
    ! [X5,X15,X16,X18] :
      ( ! [X3] :
          ( hBOOL(hAPP(X18,X3))
         => c_Wellfounded_Owf(X16,hAPP(X15,X3)) )
     => c_Wellfounded_Owf(tc_prod(X5,X16),c_Recdef_Osame__fst(X5,X16,X18,X15)) ),
    file('<stdin>',fact_wf__same__fst) ).

fof(c_0_77,axiom,
    ! [X10,X4,X16,X9,X5] :
      ( c_member(X5,X9,c_Relation_OImage(X16,X5,X4,c_Set_Oinsert(X16,X10,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool)))))
    <=> c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X10,X9),X4) ),
    file('<stdin>',fact_Image__singleton__iff) ).

fof(c_0_78,axiom,
    ! [X2,X4,X16,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),hAPP(c_Relation_Oinv__image(X16,X5,X4),X2))
    <=> c_member(tc_prod(X16,X16),c_Product__Type_OPair(X16,X16,hAPP(X2,X14),hAPP(X2,X13)),X4) ),
    file('<stdin>',fact_in__inv__image) ).

fof(c_0_79,axiom,
    ! [X13,X14,X19] :
      ( c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X19,c_Arrow__Order__Mirabelle_OLin)
     => ( X14 != X13
       => ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X14,X13),X19)
        <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),X19) ) ) ),
    file('<stdin>',fact_notin__Lin__iff) ).

fof(c_0_80,axiom,
    ! [X4,X16,X5] :
      ( c_Relation_Osingle__valued(X5,X16,X4)
    <=> ! [X3,X6] :
          ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X3,X6),X4)
         => ! [X7] :
              ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X3,X7),X4)
             => X6 = X7 ) ) ),
    file('<stdin>',fact_single__valued__def) ).

fof(c_0_81,axiom,
    ! [X39,X13,X14,X4,X16,X5] :
      ( c_Relation_Osingle__valued(X5,X16,X4)
     => ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X14,X13),X4)
       => ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X14,X39),X4)
         => X13 = X39 ) ) ),
    file('<stdin>',fact_single__valuedD) ).

fof(c_0_82,axiom,
    ! [X9,X10,X4,X5] :
      ( c_Relation_Orefl__on(X5,c_Relation_OField(X5,X4),X4)
     => ( c_Relation_Oantisym(X5,X4)
       => ( c_member(X5,X10,c_Relation_OField(X5,X4))
         => ( c_member(X5,X9,c_Relation_OField(X5,X4))
           => ( c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
            <=> X10 = X9 ) ) ) ) ),
    file('<stdin>',fact_Refl__antisym__eq__Image1__Image1__iff) ).

fof(c_0_83,axiom,
    ! [X4,X5] :
      ( c_Relation_Oantisym(X5,X4)
    <=> ! [X3,X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X4)
         => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X3),X4)
           => X3 = X6 ) ) ),
    file('<stdin>',fact_antisym__def) ).

fof(c_0_84,axiom,
    ! [X9,X10,X4,X5] :
      ( c_Relation_Oantisym(X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
       => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X10),X4)
         => X10 = X9 ) ) ),
    file('<stdin>',fact_antisymD) ).

fof(c_0_85,axiom,
    ! [X14,X10,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X14),X4)
       => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X10),X4) ) ),
    file('<stdin>',fact_wf__not__sym) ).

fof(c_0_86,axiom,
    ! [X14,X10,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X14),X4)
       => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X10),X4) ) ),
    file('<stdin>',fact_wf__asym) ).

fof(c_0_87,axiom,
    ! [X9,X10,X4,X5] :
      ( c_Order__Relation_Opartial__order__on(X5,c_Relation_OField(X5,X4),X4)
     => ( c_member(X5,X10,c_Relation_OField(X5,X4))
       => ( c_member(X5,X9,c_Relation_OField(X5,X4))
         => ( c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
          <=> X10 = X9 ) ) ) ),
    file('<stdin>',fact_Partial__order__eq__Image1__Image1__iff) ).

fof(c_0_88,axiom,
    ! [X4,X16,X10,X5] :
      ( c_member(X5,X10,c_Relation_ODomain(X5,X16,X4))
     => ~ ! [X6] : ~ c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X6),X4) ),
    file('<stdin>',fact_DomainE) ).

fof(c_0_89,axiom,
    ! [X4,X16,X9,X5] :
      ( c_member(X5,X9,c_Relation_ORange(X16,X5,X4))
     => ~ ! [X3] : ~ c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X3,X9),X4) ),
    file('<stdin>',fact_RangeE) ).

fof(c_0_90,axiom,
    ! [X4,X16,X10,X5] :
      ( c_member(X5,X10,c_Relation_ORange(X16,X5,X4))
    <=> ? [X6] : c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X6,X10),X4) ),
    file('<stdin>',fact_Range__iff) ).

fof(c_0_91,axiom,
    ! [X4,X16,X10,X5] :
      ( c_member(X5,X10,c_Relation_ODomain(X5,X16,X4))
    <=> ? [X6] : c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X6),X4) ),
    file('<stdin>',fact_Domain__iff) ).

fof(c_0_92,axiom,
    ! [X4,X9,X10,X5] : c_Relation_OField(X5,c_Set_Oinsert(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X10,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),c_Relation_OField(X5,X4)),
    file('<stdin>',fact_Field__insert) ).

fof(c_0_93,axiom,
    ! [X15,X5,X13,X14,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X2,X14),hAPP(X2,X13))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),X15)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Wellfounded_Omlex__prod(X5,X2,X15)) ) ),
    file('<stdin>',fact_mlex__leq) ).

fof(c_0_94,axiom,
    ! [X9,X10,X8,X5,X30,X16] : c_Product__Type_Ointernal__split(X16,X30,X5,X8,c_Product__Type_OPair(X16,X30,X10,X9)) = hAPP(hAPP(X8,X10),X9),
    file('<stdin>',fact_internal__split__conv) ).

fof(c_0_95,axiom,
    ! [X9,X10,X29,X5,X30,X16] : c_Product__Type_Oprod_Oprod__rec(X16,X30,X5,X29,c_Product__Type_OPair(X16,X30,X10,X9)) = hAPP(hAPP(X29,X10),X9),
    file('<stdin>',fact_prod_Orecs) ).

fof(c_0_96,axiom,
    ! [X4,X12,X5] :
      ( c_Relation_Ototal__on(X5,X12,X4)
    <=> ! [X3] :
          ( c_member(X5,X3,X12)
         => ! [X32] :
              ( c_member(X5,X32,X12)
             => ( X3 != X32
               => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X32),X4)
                  | c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X32,X3),X4) ) ) ) ) ),
    file('<stdin>',fact_total__on__def) ).

fof(c_0_97,axiom,
    ! [X12,X55,X15,X5,X16] : c_Relation_OImage(X16,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X16,X5),tc_HOL_Obool),X15,X55),X12) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X16,X5,X15,X12),c_Relation_OImage(X16,X5,X55,X12)),
    file('<stdin>',fact_Un__Image) ).

fof(c_0_98,axiom,
    ! [X15,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X15))
     => ( X10 = X9
        | ( X10 != X9
          & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X15)) ) ) ),
    file('<stdin>',fact_rtranclD) ).

fof(c_0_99,axiom,
    ! [X15,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X15))
    <=> ( X14 = X13
        | ( X14 != X13
          & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Otrancl(X5,X15)) ) ) ),
    file('<stdin>',fact_rtrancl__eq__or__trancl) ).

fof(c_0_100,axiom,
    ! [X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4)) ),
    file('<stdin>',fact_trancl__into__rtrancl) ).

fof(c_0_101,axiom,
    ! [X4,X9,X16,X12,X10,X5] :
      ( c_member(X5,X10,X12)
     => ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)
       => c_member(X16,X9,c_Relation_OImage(X5,X16,X4,X12)) ) ),
    file('<stdin>',fact_rev__ImageI) ).

fof(c_0_102,axiom,
    ! [X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
     => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4)) ),
    file('<stdin>',fact_trancl_Or__into__trancl) ).

fof(c_0_103,axiom,
    ! [X11,X12,X15,X5,X16] : c_Relation_OImage(X16,X5,X15,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X12,X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X16,X5,X15,X12),c_Relation_OImage(X16,X5,X15,X11)),
    file('<stdin>',fact_Image__Un) ).

fof(c_0_104,axiom,
    ! [X11,X14,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,X11))
    <=> ( ( c_member(X5,X14,X11)
         => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11) )
        & ( ~ c_member(X5,X14,X11)
         => ( ( c_member(X5,X14,X12)
             => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X11) )
            & ( ~ c_member(X5,X14,X12)
             => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ) ) ) ) ),
    file('<stdin>',fact_psubset__insert__iff) ).

fof(c_0_105,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
    <=> ! [X65] :
          ( ? [X3] : c_member(X5,X3,X65)
         => ? [X3] :
              ( c_member(X5,X3,X65)
              & ! [X6] :
                  ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X3),X4)
                 => ~ c_member(X5,X6,X65) ) ) ) ),
    file('<stdin>',fact_wf__eq__minimal) ).

fof(c_0_106,axiom,
    ! [X13,X14,X15,X16,X5] :
      ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X5,X16,X15),X14),X13))
    <=> c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X14,X13),X15) ),
    file('<stdin>',fact_in__rel__def) ).

fof(c_0_107,axiom,
    ! [X81] :
      ( X81 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
     => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X81,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict) ),
    file('<stdin>',fact_smin__emptyI) ).

fof(c_0_108,axiom,
    ! [X12,X85,X4,X86,X16,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X86,X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X85,X12)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),c_Relation_OImage(X5,X16,X86,X85),c_Relation_OImage(X5,X16,X4,X12)) ) ),
    file('<stdin>',fact_Image__mono) ).

fof(c_0_109,axiom,
    ! [X4,X9,X10,X5,X16] : c_Relation_ORange(X16,X5,c_Set_Oinsert(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X10,X9),X4)) = c_Set_Oinsert(X5,X9,c_Relation_ORange(X16,X5,X4)),
    file('<stdin>',fact_Range__insert) ).

fof(c_0_110,axiom,
    ! [X4,X9,X10,X16,X5] : c_Relation_ODomain(X5,X16,c_Set_Oinsert(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)) = c_Set_Oinsert(X5,X10,c_Relation_ODomain(X5,X16,X4)),
    file('<stdin>',fact_Domain__insert) ).

fof(c_0_111,axiom,
    ! [X81] : c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X81,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__weak),
    file('<stdin>',fact_wmin__emptyI) ).

fof(c_0_112,axiom,
    ! [X11,X14,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,X11))
    <=> ( ( c_member(X5,X14,X12)
         => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X11) )
        & ( ~ c_member(X5,X14,X12)
         => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ) ) ),
    file('<stdin>',fact_subset__insert__iff) ).

fof(c_0_113,axiom,
    ! [X11,X14,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X11)
     => ( c_member(X5,X14,X12)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,X11)) ) ),
    file('<stdin>',fact_diff__single__insert) ).

fof(c_0_114,axiom,
    ! [X11,X12,X16,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Relation_ODomain(X5,X16,X12),c_Relation_ODomain(X5,X16,X11)),c_Relation_ODomain(X5,X16,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X12,X11))),
    file('<stdin>',fact_Domain__Diff__subset) ).

fof(c_0_115,axiom,
    ! [X11,X12,X16,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Relation_ORange(X16,X5,X12),c_Relation_ORange(X16,X5,X11)),c_Relation_ORange(X16,X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X16,X5),tc_HOL_Obool),X12,X11))),
    file('<stdin>',fact_Range__Diff__subset) ).

fof(c_0_116,axiom,
    ! [X81,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X5,X5,X4,X81),X81)
     => c_Relation_OImage(X5,X5,c_Transitive__Closure_Ortrancl(X5,X4),X81) = X81 ),
    file('<stdin>',fact_Image__closed__trancl) ).

fof(c_0_117,axiom,
    ! [X9,X4,X10,X5] :
      ( c_member(X5,X10,c_Wellfounded_Oacc(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X10),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(X5,X9,c_Wellfounded_Oacc(X5,X4)) ) ),
    file('<stdin>',fact_acc__downwards) ).

fof(c_0_118,axiom,
    ! [X4,X10,X9,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X10),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(X5,X10,c_Wellfounded_Oacc(X5,X4))
       => c_member(X5,X9,c_Wellfounded_Oacc(X5,X4)) ) ),
    file('<stdin>',fact_acc__downwards__aux) ).

fof(c_0_119,axiom,
    ! [X10,X4,X12,X5] :
      ( c_Equiv__Relations_Oequiv(X5,X12,X4)
     => ( c_member(X5,X10,X12)
       => c_member(X5,X10,c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))) ) ),
    file('<stdin>',fact_equiv__class__self) ).

fof(c_0_120,axiom,
    ! [X10,X4,X9,X5] :
      ( c_member(X5,X9,c_Wellfounded_Oacc(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
       => c_member(X5,X10,c_Wellfounded_Oacc(X5,X4)) ) ),
    file('<stdin>',fact_acc__downward) ).

fof(c_0_121,axiom,
    ! [X4,X10,X5] :
      ( c_member(X5,X10,c_Wellfounded_Oacc(X5,X4))
    <=> ! [X3] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X10),X4)
         => c_member(X5,X3,c_Wellfounded_Oacc(X5,X4)) ) ),
    file('<stdin>',fact_acc_Osimps) ).

fof(c_0_122,axiom,
    ! [X13,X15,X14,X5] :
      ( ~ c_member(X5,X14,c_Relation_ODomain(X5,X5,X15))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X15))
      <=> X14 = X13 ) ),
    file('<stdin>',fact_Not__Domain__rtrancl) ).

fof(c_0_123,axiom,
    ! [X4,X5] :
      ( ! [X3,X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X4)
         => ! [X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X4)
             => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X7),X4) ) )
     => c_Relation_Otrans(X5,X4) ),
    file('<stdin>',fact_transI) ).

fof(c_0_124,axiom,
    ! [X4,X5] :
      ( c_Nitpick_Orefl_H(X5,X4)
    <=> ! [X3] : c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),X4) ),
    file('<stdin>',fact_Nitpick_Orefl_H__def) ).

fof(c_0_125,axiom,
    ! [X2,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),hAPP(c_Wellfounded_Omeasure(X5),X2))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X14),hAPP(X2,X13)) ),
    file('<stdin>',fact_in__measure) ).

fof(c_0_126,axiom,
    ! [X4,X9,X10,X16,X5] :
      ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)
     => c_member(X5,X10,c_Relation_ODomain(X5,X16,X4)) ),
    file('<stdin>',fact_DomainI) ).

fof(c_0_127,axiom,
    ! [X4,X9,X10,X16,X5] :
      ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)
     => c_member(X16,X9,c_Relation_ORange(X5,X16,X4)) ),
    file('<stdin>',fact_RangeI) ).

fof(c_0_128,axiom,
    ! [X4,X16,X5] :
      ( ! [X3,X6] :
          ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X3,X6),X4)
         => ! [X7] :
              ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X3,X7),X4)
             => X6 = X7 ) )
     => c_Relation_Osingle__valued(X5,X16,X4) ),
    file('<stdin>',fact_single__valuedI) ).

fof(c_0_129,axiom,
    ! [X13,X14,X4,X12,X5] :
      ( c_Relation_Orefl__on(X5,X12,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),X4)
       => c_member(X5,X13,X12) ) ),
    file('<stdin>',fact_refl__onD2) ).

fof(c_0_130,axiom,
    ! [X13,X14,X4,X12,X5] :
      ( c_Relation_Orefl__on(X5,X12,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),X4)
       => c_member(X5,X14,X12) ) ),
    file('<stdin>',fact_refl__onD1) ).

fof(c_0_131,axiom,
    ! [X55,X15,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X15),c_Transitive__Closure_Ortrancl(X5,X55)),c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55))),
    file('<stdin>',fact_rtrancl__Un__subset) ).

fof(c_0_132,axiom,
    ! [X12,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Relation_OId__on(X5,X12))
    <=> ( X14 = X13
        & c_member(X5,X14,X12) ) ),
    file('<stdin>',fact_Id__on__iff) ).

fof(c_0_133,axiom,
    ! [X68,X69] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X69,X68),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X69,X68) ),
    file('<stdin>',fact_pred__nat__trancl__eq__le) ).

fof(c_0_134,axiom,
    ! [X68,X69] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X69,X68),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68) ),
    file('<stdin>',fact_less__eq) ).

fof(c_0_135,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Oacyclic(X5,X4)
    <=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),c_Transitive__Closure_Otrancl(X5,X4)) ),
    file('<stdin>',fact_acyclic__def) ).

fof(c_0_136,axiom,
    ! [X12,X15,X5] :
      ( c_Wellfounded_Owf(X5,X15)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Relation_OImage(X5,X5,X15,X12))
       => X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ) ),
    file('<stdin>',fact_wfE__pf) ).

fof(c_0_137,axiom,
    ! [X13,X14] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X14,X13),c_Wellfounded_Oless__than)
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X13) ),
    file('<stdin>',fact_less__than__iff) ).

fof(c_0_138,axiom,
    ! [X10,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),X4) ),
    file('<stdin>',fact_wf__not__refl) ).

fof(c_0_139,axiom,
    ! [X10,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),X4) ),
    file('<stdin>',fact_wf__irrefl) ).

fof(c_0_140,axiom,
    ! [X4,X5] :
      ( c_Relation_Oirrefl(X5,X4)
    <=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),X4) ),
    file('<stdin>',fact_irrefl__def) ).

fof(c_0_141,axiom,
    ! [X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Relation_OId(X5))
    <=> X10 = X9 ),
    file('<stdin>',fact_pair__in__Id__conv) ).

fof(c_0_142,axiom,
    ! [X4,X14,X5] :
      ( ! [X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X14),X4)
         => c_member(X5,X6,c_Wellfounded_Oacc(X5,X4)) )
     => c_member(X5,X14,c_Wellfounded_Oacc(X5,X4)) ),
    file('<stdin>',fact_acc_OaccI) ).

fof(c_0_143,axiom,
    ! [X15,X14,X5] :
      ( ~ c_member(X5,X14,c_Wellfounded_Oacc(X5,X15))
     => ~ ! [X7] :
            ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X14),X15)
           => c_member(X5,X7,c_Wellfounded_Oacc(X5,X15)) ) ),
    file('<stdin>',fact_not__acc__down) ).

fof(c_0_144,axiom,
    ! [X15,X5,X13,X14,X2] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X14),hAPP(X2,X13))
     => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Wellfounded_Omlex__prod(X5,X2,X15)) ),
    file('<stdin>',fact_mlex__less) ).

fof(c_0_145,axiom,
    ! [X70,X8,X9,X10,X5] :
      ( c_Set_Oinsert(X5,X10,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = c_Set_Oinsert(X5,X8,c_Set_Oinsert(X5,X70,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
    <=> ( ( X10 = X8
          & X9 = X70 )
        | ( X10 = X70
          & X9 = X8 ) ) ),
    file('<stdin>',fact_doubleton__eq__iff) ).

fof(c_0_146,axiom,
    ! [X11,X10,X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,X11)) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X11),
    file('<stdin>',fact_Diff__insert2) ).

fof(c_0_147,axiom,
    ! [X55,X15,X14,X5] :
      ( ( c_member(tc_prod(X5,X5),X14,c_Transitive__Closure_Ortrancl(X5,X15))
        | c_member(tc_prod(X5,X5),X14,c_Transitive__Closure_Ortrancl(X5,X55)) )
     => c_member(tc_prod(X5,X5),X14,c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55))) ),
    file('<stdin>',fact_in__rtrancl__UnI) ).

fof(c_0_148,axiom,
    ! [X25,X26,X27,X28,X16,X5] :
      ( c_Product__Type_OPair(X5,X16,X28,X27) = c_Product__Type_OPair(X5,X16,X26,X25)
     => ~ ( X28 = X26
         => X27 != X25 ) ),
    file('<stdin>',fact_Pair__inject) ).

fof(c_0_149,axiom,
    ! [X23,X24,X9,X10,X16,X5] :
      ( c_Product__Type_OPair(X5,X16,X10,X9) = c_Product__Type_OPair(X5,X16,X24,X23)
    <=> ( X10 = X24
        & X9 = X23 ) ),
    file('<stdin>',fact_Pair__eq) ).

fof(c_0_150,axiom,
    ! [X10,X4,X12,X5] :
      ( c_Relation_Orefl__on(X5,X12,X4)
     => ( c_member(X5,X10,X12)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),X4) ) ),
    file('<stdin>',fact_refl__onD) ).

fof(c_0_151,axiom,
    ! [X4,X5] :
      ( ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),c_Transitive__Closure_Otrancl(X5,X4))
     => c_Wellfounded_Oacyclic(X5,X4) ),
    file('<stdin>',fact_acyclicI) ).

fof(c_0_152,axiom,
    ! [X12,X10,X5] :
      ( c_member(X5,X10,X12)
     => c_Set_Oinsert(X5,X10,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))) = X12 ),
    file('<stdin>',fact_insert__Diff) ).

fof(c_0_153,axiom,
    ! [X4,X5] :
      ( ! [X3,X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X4)
         => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X3),X4)
           => X3 = X6 ) )
     => c_Relation_Oantisym(X5,X4) ),
    file('<stdin>',fact_antisymI) ).

fof(c_0_154,axiom,
    ! [X12,X5,X9,X10] :
      ( X10 = X9
     => ( c_member(X5,X10,X12)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Relation_OId__on(X5,X12)) ) ),
    file('<stdin>',fact_Id__on__eqI) ).

fof(c_0_155,axiom,
    ! [X12,X10,X5] : c_Set_Oinsert(X5,X10,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))) = c_Set_Oinsert(X5,X10,X12),
    file('<stdin>',fact_insert__Diff__single) ).

fof(c_0_156,axiom,
    ! [X55,X15,X5] : c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X15),c_Transitive__Closure_Ortrancl(X5,X55))) = c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55)),
    file('<stdin>',fact_rtrancl__Un__rtrancl) ).

fof(c_0_157,axiom,
    ! [X31,X11,X4,X12,X5] :
      ( c_Relation_Orefl__on(X5,X12,X4)
     => ( c_Relation_Orefl__on(X5,X11,X31)
       => c_Relation_Orefl__on(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)) ) ),
    file('<stdin>',fact_refl__on__Un) ).

fof(c_0_158,axiom,
    ! [X68,X69,X79] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X69)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X68)
       => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X69,X79),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X68,X79))
        <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68) ) ) ),
    file('<stdin>',fact_less__diff__iff) ).

fof(c_0_159,axiom,
    ! [X68,X69,X79] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X69)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X68)
       => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X69,X79),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X68,X79))
        <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X69,X68) ) ) ),
    file('<stdin>',fact_le__diff__iff) ).

fof(c_0_160,axiom,
    ! [X12,X8,X5] :
      ( c_member(tc_prod(X5,X5),X8,c_Relation_OId__on(X5,X12))
     => ~ ! [X3] :
            ( c_member(X5,X3,X12)
           => X8 != c_Product__Type_OPair(X5,X5,X3,X3) ) ),
    file('<stdin>',fact_Id__onE) ).

fof(c_0_161,axiom,
    ! [X11,X66,X54,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X54)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X66,X11)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X54,X66)) ) ),
    file('<stdin>',fact_Diff__mono) ).

fof(c_0_162,axiom,
    ! [X66,X11,X54,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X54)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X66)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X54,X66)) ) ),
    file('<stdin>',fact_Un__mono) ).

fof(c_0_163,axiom,
    ! [X11,X10,X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,X11)) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),
    file('<stdin>',fact_Diff__insert) ).

fof(c_0_164,axiom,
    ! [X54,X11,X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X54) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X54),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,X54)),
    file('<stdin>',fact_Un__Diff) ).

fof(c_0_165,axiom,
    ! [X11,X12,X16,X5] : c_Relation_ODomain(X5,X16,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X12,X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_ODomain(X5,X16,X12),c_Relation_ODomain(X5,X16,X11)),
    file('<stdin>',fact_Domain__Un__eq) ).

fof(c_0_166,axiom,
    ! [X11,X12,X5,X16] : c_Relation_ORange(X16,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X16,X5),tc_HOL_Obool),X12,X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_ORange(X16,X5,X12),c_Relation_ORange(X16,X5,X11)),
    file('<stdin>',fact_Range__Un__eq) ).

fof(c_0_167,axiom,
    ! [X4,X10,X5] : c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),c_Transitive__Closure_Ortrancl(X5,X4)),
    file('<stdin>',fact_rtrancl_Ortrancl__refl) ).

fof(c_0_168,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),X54)
    <=> c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X54)) ),
    file('<stdin>',fact_Diff__subset__conv) ).

fof(c_0_169,axiom,
    ! [X14,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
     => ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
        | X12 = c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) ) ),
    file('<stdin>',fact_subset__singletonD) ).

fof(c_0_170,axiom,
    ! [X14,X11,X12,X5] :
      ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X14))
     => ( ~ hBOOL(hAPP(X12,X14))
       => hBOOL(hAPP(X11,X14)) ) ),
    file('<stdin>',fact_sup1E) ).

fof(c_0_171,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Owell__order__on(X5,X12,X4)
    <=> ( c_Order__Relation_Olinear__order__on(X5,X12,X4)
        & c_Wellfounded_Owf(X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) ) ),
    file('<stdin>',fact_well__order__on__def) ).

fof(c_0_172,axiom,
    ! [X10,X5] : c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),c_Relation_OId(X5)),
    file('<stdin>',fact_IdI) ).

fof(c_0_173,axiom,
    ! [X57,X16,X58,X5] :
      ( c_Wellfounded_Owf(X5,X58)
     => ( c_Wellfounded_Owf(X16,X57)
       => c_Wellfounded_Owf(tc_prod(X5,X16),c_Wellfounded_Olex__prod(X5,X16,X58,X57)) ) ),
    file('<stdin>',fact_wf__lex__prod) ).

fof(c_0_174,axiom,
    ! [X33,X16,X34,X5] :
      ( c_Relation_Otrans(X5,X34)
     => ( c_Relation_Otrans(X16,X33)
       => c_Relation_Otrans(tc_prod(X5,X16),c_Wellfounded_Olex__prod(X5,X16,X34,X33)) ) ),
    file('<stdin>',fact_trans__lex__prod) ).

fof(c_0_175,axiom,
    ! [X4,X12,X5] :
      ( c_Relation_Ototal__on(X5,X12,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5)))
    <=> c_Relation_Ototal__on(X5,X12,X4) ),
    file('<stdin>',fact_total__on__diff__Id) ).

fof(c_0_176,axiom,
    ! [X2,X16,X18,X5] :
      ( c_FunDef_Oreduction__pair(X5,X18)
     => c_FunDef_Oreduction__pair(X16,c_FunDef_Orp__inv__image(X5,X16,X18,X2)) ),
    file('<stdin>',fact_rp__inv__image__rp) ).

fof(c_0_177,axiom,
    ! [X31,X4,X16,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X4,X31)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_ODomain(X5,X16,X4),c_Relation_ODomain(X5,X16,X31)) ),
    file('<stdin>',fact_Domain__mono) ).

fof(c_0_178,axiom,
    ! [X71,X72,X76] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X76,X72)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X76,X71)
       => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X72,X76),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X71,X76)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X72,X71) ) ),
    file('<stdin>',fact_Nat_Odiff__diff__eq) ).

fof(c_0_179,axiom,
    ! [X31,X4,X40,X5] :
      ( c_member(tc_prod(X5,X5),X40,c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
       => c_member(tc_prod(X5,X5),X40,c_Transitive__Closure_Otrancl(X5,X31)) ) ),
    file('<stdin>',fact_trancl__mono) ).

fof(c_0_180,axiom,
    ! [X55,X15,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X55,c_Transitive__Closure_Ortrancl(X5,X15))
       => c_Transitive__Closure_Ortrancl(X5,X55) = c_Transitive__Closure_Ortrancl(X5,X15) ) ),
    file('<stdin>',fact_rtrancl__subset) ).

fof(c_0_181,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X54,X12)) = X12 ) ),
    file('<stdin>',fact_double__diff) ).

fof(c_0_182,axiom,
    ! [X11,X54,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X54)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X54) ) ),
    file('<stdin>',fact_Un__least) ).

fof(c_0_183,axiom,
    ! [X18,X68,X69] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68)
       => hBOOL(hAPP(hAPP(X18,X68),X69)) )
     => ( ( X69 = X68
         => hBOOL(hAPP(hAPP(X18,X68),X69)) )
       => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X68,X69)
           => hBOOL(hAPP(hAPP(X18,X68),X69)) )
         => hBOOL(hAPP(hAPP(X18,X68),X69)) ) ) ),
    file('<stdin>',fact_nat__less__cases) ).

fof(c_0_184,axiom,
    ! [X54,X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X54) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X54)),
    file('<stdin>',fact_Un__assoc) ).

fof(c_0_185,axiom,
    ! [X54,X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X54)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X54)),
    file('<stdin>',fact_Un__left__commute) ).

fof(c_0_186,axiom,
    ! [X4,X5] :
      ( c_Relation_Oantisym(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5)))
    <=> c_Relation_Oantisym(X5,X4) ),
    file('<stdin>',fact_antisym__reflcl) ).

fof(c_0_187,axiom,
    ! [X12,X14,X5] :
      ( ~ c_member(X5,X14,X12)
     => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = X12 ),
    file('<stdin>',fact_Diff__insert__absorb) ).

fof(c_0_188,axiom,
    ! [X67,X27,X61,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X61)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X67)
         => c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27),c_Lattices_Osemilattice__sup__class_Osup(X5,X61,X67)) ) ) ),
    file('<stdin>',fact_sup__mono) ).

fof(c_0_189,axiom,
    ! [X12,X11,X14,X5] :
      ( ( c_member(X5,X14,X11)
       => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),X11) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11) )
      & ( ~ c_member(X5,X14,X11)
       => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),X11) = c_Set_Oinsert(X5,X14,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11)) ) ),
    file('<stdin>',fact_insert__Diff__if) ).

fof(c_0_190,axiom,
    ! [X40,X5] :
      ( c_member(tc_prod(X5,X5),X40,c_Relation_OId(X5))
     => ~ ! [X3] : X40 != c_Product__Type_OPair(X5,X5,X3,X3) ),
    file('<stdin>',fact_IdE) ).

fof(c_0_191,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11))
    <=> ( c_member(X5,X8,X12)
        | c_member(X5,X8,X11) ) ),
    file('<stdin>',fact_Un__iff) ).

fof(c_0_192,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11))
     => ( ~ c_member(X5,X8,X12)
       => c_member(X5,X8,X11) ) ),
    file('<stdin>',fact_UnE) ).

fof(c_0_193,axiom,
    ! [X61,X27,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X27)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X61,X28)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X28,X61),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X27,X61)) ) ),
    file('<stdin>',fact_diff__less__mono) ).

fof(c_0_194,axiom,
    ! [X75,X71,X72] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X75)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X71),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X72)) ) ),
    file('<stdin>',fact_diff__less__mono2) ).

fof(c_0_195,axiom,
    ! [X31,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Transitive__Closure_Ortrancl(X5,X31))
     => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X4),c_Transitive__Closure_Ortrancl(X5,X31)) ),
    file('<stdin>',fact_rtrancl__subset__rtrancl) ).

fof(c_0_196,axiom,
    ! [X11,X12,X14,X5] :
      ( ~ c_member(X5,X14,X12)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,X11))
      <=> c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ) ),
    file('<stdin>',fact_subset__insert) ).

fof(c_0_197,axiom,
    ! [X10,X9,X5] :
      ( c_member(X5,X9,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
    <=> X9 = X10 ),
    file('<stdin>',fact_singleton__iff) ).

fof(c_0_198,axiom,
    ! [X10,X9,X5] :
      ( c_member(X5,X9,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
     => X9 = X10 ),
    file('<stdin>',fact_singletonE) ).

fof(c_0_199,axiom,
    ! [X14,X12,X13,X5] :
      ( hBOOL(hAPP(c_Set_Oinsert(X5,X13,X12),X14))
    <=> ( X13 = X14
        | hBOOL(hAPP(X12,X14)) ) ),
    file('<stdin>',fact_insert__code) ).

fof(c_0_200,axiom,
    ! [X10,X66,X54,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X54,X66)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X10,X54),c_Set_Oinsert(X5,X10,X66)) ),
    file('<stdin>',fact_insert__mono) ).

fof(c_0_201,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11))
     => ~ c_member(X5,X8,X11) ),
    file('<stdin>',fact_DiffD2) ).

fof(c_0_202,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11))
    <=> ( c_member(X5,X8,X12)
        & ~ c_member(X5,X8,X11) ) ),
    file('<stdin>',fact_Diff__iff) ).

fof(c_0_203,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11))
     => ~ ( c_member(X5,X8,X12)
         => c_member(X5,X8,X11) ) ),
    file('<stdin>',fact_DiffE) ).

fof(c_0_204,axiom,
    ! [X56,X16,X5,X13,X14,X18] :
      ( hBOOL(hAPP(hAPP(X18,X14),X13))
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X16,tc_HOL_Obool)),X18,X56)
       => hBOOL(hAPP(hAPP(X56,X14),X13)) ) ),
    file('<stdin>',fact_rev__predicate2D) ).

fof(c_0_205,axiom,
    ! [X13,X14,X56,X18,X16,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X16,tc_HOL_Obool)),X18,X56)
     => ( hBOOL(hAPP(hAPP(X18,X14),X13))
       => hBOOL(hAPP(hAPP(X56,X14),X13)) ) ),
    file('<stdin>',fact_predicate2D) ).

fof(c_0_206,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Olinear__order__on(X5,X12,X4)
     => c_Order__Relation_Ostrict__linear__order__on(X5,X12,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) ),
    file('<stdin>',fact_strict__linear__order__on__diff__Id) ).

fof(c_0_207,axiom,
    ! [X31,X4,X5] : c_Relation_OField(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_OField(X5,X4),c_Relation_OField(X5,X31)),
    file('<stdin>',fact_Field__Un) ).

fof(c_0_208,axiom,
    ! [X11,X12,X14,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),X11)
    <=> ( c_member(X5,X14,X11)
        & c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ) ),
    file('<stdin>',fact_insert__subset) ).

fof(c_0_209,axiom,
    ! [X54,X11,X10,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X10,X11),X54) = c_Set_Oinsert(X5,X10,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X54)),
    file('<stdin>',fact_Un__insert__left) ).

fof(c_0_210,axiom,
    ! [X11,X10,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,X11)) = c_Set_Oinsert(X5,X10,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)),
    file('<stdin>',fact_Un__insert__right) ).

fof(c_0_211,axiom,
    ! [X31,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X4),c_Transitive__Closure_Ortrancl(X5,X31)) ),
    file('<stdin>',fact_rtrancl__mono) ).

fof(c_0_212,axiom,
    ! [X12,X5,X14,X11] :
      ( hBOOL(hAPP(X11,X14))
     => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X14)) ),
    file('<stdin>',fact_sup1I2) ).

fof(c_0_213,axiom,
    ! [X11,X5,X14,X12] :
      ( hBOOL(hAPP(X12,X14))
     => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X14)) ),
    file('<stdin>',fact_sup1I1) ).

fof(c_0_214,axiom,
    ! [X5,X12,X14,X11] :
      ( ( ~ hBOOL(hAPP(X11,X14))
       => hBOOL(hAPP(X12,X14)) )
     => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X14)) ),
    file('<stdin>',fact_sup1CI) ).

fof(c_0_215,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11))
     => c_member(X5,X8,X12) ),
    file('<stdin>',fact_DiffD1) ).

fof(c_0_216,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,X12)) = X11 ),
    file('<stdin>',fact_Diff__partition) ).

fof(c_0_217,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,X12)
     => ( ~ c_member(X5,X8,X11)
       => c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11)) ) ),
    file('<stdin>',fact_DiffI) ).

fof(c_0_218,axiom,
    ! [X12,X11,X14,X5] :
      ( c_member(X5,X14,X11)
     => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),X11) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11) ),
    file('<stdin>',fact_insert__Diff1) ).

fof(c_0_219,axiom,
    ! [X31,X4,X16,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X4,X31)
     => ( c_Relation_Osingle__valued(X5,X16,X31)
       => c_Relation_Osingle__valued(X5,X16,X4) ) ),
    file('<stdin>',fact_single__valued__subset) ).

fof(c_0_220,axiom,
    ! [X75,X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X71),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X72)) ),
    file('<stdin>',fact_diff__le__mono2) ).

fof(c_0_221,axiom,
    ! [X75,X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X72,X75),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X71,X75)) ),
    file('<stdin>',fact_diff__le__mono) ).

fof(c_0_222,axiom,
    ! [X12,X10,X5] : c_Set_Oinsert(X5,X10,X12) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),X12),
    file('<stdin>',fact_insert__is__Un) ).

fof(c_0_223,axiom,
    ! [X39,X13,X14,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X14,X13),X39)
      <=> ( c_Orderings_Oord__class_Oless__eq(X5,X14,X39)
          & c_Orderings_Oord__class_Oless__eq(X5,X13,X39) ) ) ),
    file('<stdin>',fact_le__sup__iff) ).

fof(c_0_224,axiom,
    ! [X27,X59,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X59)
         => c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27),X59) ) ) ),
    file('<stdin>',fact_le__supI) ).

fof(c_0_225,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X62,X59)
         => c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62),X59) ) ) ),
    file('<stdin>',fact_sup__least) ).

fof(c_0_226,axiom,
    ! [X9,X10,X5] :
      ( c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))
     => X10 = X9 ),
    file('<stdin>',fact_singleton__inject) ).

fof(c_0_227,axiom,
    ! [X68,X69,X79] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X69)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X68)
       => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X69,X79) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X68,X79)
        <=> X69 = X68 ) ) ),
    file('<stdin>',fact_eq__diff__iff) ).

fof(c_0_228,axiom,
    ! [X31,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OField(X5,X4),c_Relation_OField(X5,X31)) ),
    file('<stdin>',fact_mono__Field) ).

fof(c_0_229,axiom,
    ! [X33,X34,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X34,X33)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Wellfounded_Oacc(X5,X33),c_Wellfounded_Oacc(X5,X34)) ),
    file('<stdin>',fact_acc__subset) ).

fof(c_0_230,axiom,
    c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))),
    file('<stdin>',fact_pair__leq__def) ).

fof(c_0_231,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60),X62) = c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62)) ),
    file('<stdin>',fact_sup__assoc) ).

fof(c_0_232,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60),X62) = c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62)) ),
    file('<stdin>',fact_inf__sup__aci_I6_J) ).

fof(c_0_233,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27),X61) = c_Lattices_Osemilattice__sup__class_Osup(X5,X28,c_Lattices_Osemilattice__sup__class_Osup(X5,X27,X61)) ),
    file('<stdin>',fact_sup_Oassoc) ).

fof(c_0_234,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X60,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X62)) ),
    file('<stdin>',fact_sup__left__commute) ).

fof(c_0_235,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X60,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X62)) ),
    file('<stdin>',fact_inf__sup__aci_I7_J) ).

fof(c_0_236,axiom,
    ! [X61,X28,X27,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X27,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X61)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X28,c_Lattices_Osemilattice__sup__class_Osup(X5,X27,X61)) ),
    file('<stdin>',fact_sup_Oleft__commute) ).

fof(c_0_237,axiom,
    ! [X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => ( c_Relation_Oantisym(X5,X4)
       => c_Relation_Otrans(X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) ) ),
    file('<stdin>',fact_trans__diff__Id) ).

fof(c_0_238,axiom,
    ! [X15,X5,X16] : c_Relation_OImage(X16,X5,X15,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    file('<stdin>',fact_Image__empty) ).

fof(c_0_239,axiom,
    ! [X12,X13,X14,X5] : c_Set_Oinsert(X5,X14,c_Set_Oinsert(X5,X13,X12)) = c_Set_Oinsert(X5,X13,c_Set_Oinsert(X5,X14,X12)),
    file('<stdin>',fact_insert__commute) ).

fof(c_0_240,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X54) ) ),
    file('<stdin>',fact_psubset__trans) ).

fof(c_0_241,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X54) ) ),
    file('<stdin>',fact_subset__psubset__trans) ).

fof(c_0_242,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X54) ) ),
    file('<stdin>',fact_psubset__subset__trans) ).

fof(c_0_243,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X54) ) ),
    file('<stdin>',fact_subset__trans) ).

fof(c_0_244,axiom,
    ! [X70,X8,X9,X10,X5] :
      ( class_Groups_Oordered__ab__group__add(X5)
     => ( c_Groups_Ominus__class_Ominus(X5,X10,X9) = c_Groups_Ominus__class_Ominus(X5,X8,X70)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X10,X9)
        <=> c_Orderings_Oord__class_Oless__eq(X5,X8,X70) ) ) ),
    file('<stdin>',fact_diff__eq__diff__less__eq) ).

fof(c_0_245,axiom,
    ! [X70,X8,X9,X10,X5] :
      ( class_Groups_Oordered__ab__group__add(X5)
     => ( c_Groups_Ominus__class_Ominus(X5,X10,X9) = c_Groups_Ominus__class_Ominus(X5,X8,X70)
       => ( c_Orderings_Oord__class_Oless(X5,X10,X9)
        <=> c_Orderings_Oord__class_Oless(X5,X8,X70) ) ) ),
    file('<stdin>',fact_diff__eq__diff__less) ).

fof(c_0_246,axiom,
    ! [X59,X27,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27),X59)
       => ~ ( c_Orderings_Oord__class_Oless__eq(X5,X28,X59)
           => ~ c_Orderings_Oord__class_Oless__eq(X5,X27,X59) ) ) ),
    file('<stdin>',fact_le__supE) ).

fof(c_0_247,axiom,
    ! [X76,X77,X78] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X78,X77),X76) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X78,X76),X77),
    file('<stdin>',fact_diff__commute) ).

fof(c_0_248,axiom,
    ! [X12,X9,X10,X5] :
      ( c_member(X5,X10,c_Set_Oinsert(X5,X9,X12))
    <=> ( X10 = X9
        | c_member(X5,X10,X12) ) ),
    file('<stdin>',fact_insert__iff) ).

fof(c_0_249,axiom,
    ! [X12,X9,X10,X5] :
      ( c_member(X5,X10,c_Set_Oinsert(X5,X9,X12))
     => ( X10 != X9
       => c_member(X5,X10,X12) ) ),
    file('<stdin>',fact_insertE) ).

fof(c_0_250,axiom,
    ! [X11,X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),X11) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),
    file('<stdin>',fact_Diff__idemp) ).

fof(c_0_251,axiom,
    ! [X12,X11,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,X12),X12) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X12),
    file('<stdin>',fact_Un__Diff__cancel2) ).

fof(c_0_252,axiom,
    ! [X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,X12)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),
    file('<stdin>',fact_Un__Diff__cancel) ).

fof(c_0_253,axiom,
    ! [X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),
    file('<stdin>',fact_Un__left__absorb) ).

fof(c_0_254,axiom,
    ! [X9,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X9,X11)) ),
    file('<stdin>',fact_subset__insertI2) ).

fof(c_0_255,axiom,
    ! [X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => c_Relation_Otrans(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) ),
    file('<stdin>',fact_trans__reflclI) ).

fof(c_0_256,axiom,
    ! [X4,X5] : c_Relation_OField(X5,X4) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_ODomain(X5,X5,X4),c_Relation_ORange(X5,X5,X4)),
    file('<stdin>',fact_Field__def) ).

fof(c_0_257,axiom,
    ! [X4,X5] : c_Transitive__Closure_Ortrancl(X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) = c_Transitive__Closure_Ortrancl(X5,X4),
    file('<stdin>',fact_rtrancl__r__diff__Id) ).

fof(c_0_258,axiom,
    ! [X15,X5] : c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,c_Relation_OId(X5))) = c_Transitive__Closure_Ortrancl(X5,X15),
    file('<stdin>',fact_rtrancl__reflcl) ).

fof(c_0_259,axiom,
    ! [X4,X5] : c_Transitive__Closure_Otrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) = c_Transitive__Closure_Ortrancl(X5,X4),
    file('<stdin>',fact_trancl__reflcl) ).

fof(c_0_260,axiom,
    ! [X1,X2,X5,X16] :
      ( class_Orderings_Oord(X16)
     => ( c_Orderings_Oord__class_Oless(tc_fun(X5,X16),X2,X1)
      <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X2,X1)
          & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X1,X2) ) ) ),
    file('<stdin>',fact_less__fun__def) ).

fof(c_0_261,axiom,
    ! [X12,X11,X8,X5] :
      ( c_member(X5,X8,X11)
     => c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)) ),
    file('<stdin>',fact_UnI2) ).

fof(c_0_262,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,X12)
     => c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)) ),
    file('<stdin>',fact_UnI1) ).

fof(c_0_263,axiom,
    ! [X12,X11,X8,X5] :
      ( ( ~ c_member(X5,X8,X11)
       => c_member(X5,X8,X12) )
     => c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)) ),
    file('<stdin>',fact_UnCI) ).

fof(c_0_264,axiom,
    ! [X14,X11,X12,X16,X5] :
      ( class_Groups_Ominus(X5)
     => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X16,X5),X12,X11),X14) = c_Groups_Ominus__class_Ominus(X5,hAPP(X12,X14),hAPP(X11,X14)) ),
    file('<stdin>',fact_minus__apply) ).

fof(c_0_265,axiom,
    ! [X14,X1,X2,X16,X5] :
      ( class_Lattices_Olattice(X5)
     => hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,X5),X2,X1),X14) = c_Lattices_Osemilattice__sup__class_Osup(X5,hAPP(X2,X14),hAPP(X1,X14)) ),
    file('<stdin>',fact_sup__apply) ).

fof(c_0_266,axiom,
    ! [X11,X12,X14,X5] :
      ( ~ c_member(X5,X14,X12)
     => ( ~ c_member(X5,X14,X11)
       => ( c_Set_Oinsert(X5,X14,X12) = c_Set_Oinsert(X5,X14,X11)
        <=> X12 = X11 ) ) ),
    file('<stdin>',fact_insert__ident) ).

fof(c_0_267,axiom,
    ! [X4,X5] : c_Relation_Oirrefl(X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))),
    file('<stdin>',fact_irrefl__diff__Id) ).

fof(c_0_268,axiom,
    ! [X2,X16,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Owf(X16,hAPP(c_Relation_Oinv__image(X5,X16,X4),X2)) ),
    file('<stdin>',fact_wf__inv__image) ).

fof(c_0_269,axiom,
    ! [X2,X16,X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => c_Relation_Otrans(X16,hAPP(c_Relation_Oinv__image(X5,X16,X4),X2)) ),
    file('<stdin>',fact_trans__inv__image) ).

fof(c_0_270,axiom,
    ! [X8,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_member(X5,X8,X12)
       => c_member(X5,X8,X11) ) ),
    file('<stdin>',fact_psubsetD) ).

fof(c_0_271,axiom,
    ! [X14,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_member(X5,X14,X12)
       => c_member(X5,X14,X11) ) ),
    file('<stdin>',fact_in__mono) ).

fof(c_0_272,axiom,
    ! [X11,X12,X14,X5] :
      ( c_member(X5,X14,X12)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
       => c_member(X5,X14,X11) ) ),
    file('<stdin>',fact_set__rev__mp) ).

fof(c_0_273,axiom,
    ! [X14,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_member(X5,X14,X12)
       => c_member(X5,X14,X11) ) ),
    file('<stdin>',fact_set__mp) ).

fof(c_0_274,axiom,
    ! [X8,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_member(X5,X8,X12)
       => c_member(X5,X8,X11) ) ),
    file('<stdin>',fact_subsetD) ).

fof(c_0_275,axiom,
    ! [X5] : c_Order__Relation_Owell__order__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    file('<stdin>',fact_well__order__on__empty) ).

fof(c_0_276,axiom,
    ! [X5] : c_Order__Relation_Olinear__order__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    file('<stdin>',fact_lnear__order__on__empty) ).

fof(c_0_277,axiom,
    ! [X5] : c_Relation_Orefl__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    file('<stdin>',fact_refl__on__empty) ).

fof(c_0_278,axiom,
    ! [X5] : c_Order__Relation_Opreorder__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    file('<stdin>',fact_preorder__on__empty) ).

fof(c_0_279,axiom,
    ! [X5] : c_Order__Relation_Opartial__order__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    file('<stdin>',fact_partial__order__on__empty) ).

fof(c_0_280,axiom,
    ! [X11,X5,X12] :
      ( X12 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))
     => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X12,X11) ),
    file('<stdin>',fact_less__by__empty) ).

fof(c_0_281,axiom,
    ! [X27,X28,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X28)
       => c_Orderings_Oord__class_Oless(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) ) ),
    file('<stdin>',fact_less__supI1) ).

fof(c_0_282,axiom,
    ! [X28,X27,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X27)
       => c_Orderings_Oord__class_Oless(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) ) ),
    file('<stdin>',fact_less__supI2) ).

fof(c_0_283,axiom,
    ! [X27,X28,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X28)
       => c_Orderings_Oord__class_Oless__eq(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) ) ),
    file('<stdin>',fact_le__supI1) ).

fof(c_0_284,axiom,
    ! [X28,X27,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X27)
       => c_Orderings_Oord__class_Oless__eq(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) ) ),
    file('<stdin>',fact_le__supI2) ).

fof(c_0_285,axiom,
    ! [X12,X5] : c_Relation_OImage(X5,X5,c_Relation_OId(X5),X12) = X12,
    file('<stdin>',fact_Image__Id) ).

fof(c_0_286,axiom,
    ! [X5] : c_Transitive__Closure_Otrancl(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool)),
    file('<stdin>',fact_trancl__empty) ).

fof(c_0_287,axiom,
    ! [X9,X11,X10,X5] :
      ( c_member(X5,X10,X11)
     => c_member(X5,X10,c_Set_Oinsert(X5,X9,X11)) ),
    file('<stdin>',fact_insertI2) ).

fof(c_0_288,axiom,
    ! [X9,X11,X10,X5] :
      ( ( ~ c_member(X5,X10,X11)
       => X10 = X9 )
     => c_member(X5,X10,c_Set_Oinsert(X5,X9,X11)) ),
    file('<stdin>',fact_insertCI) ).

fof(c_0_289,axiom,
    ! [X5,X11,X12] :
      ( X12 = X11
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
        & c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12) ) ),
    file('<stdin>',fact_set__eq__subset) ).

fof(c_0_290,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12)
       => X12 = X11 ) ),
    file('<stdin>',fact_equalityI) ).

fof(c_0_291,axiom,
    c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than),
    file('<stdin>',fact_pair__less__def) ).

fof(c_0_292,axiom,
    ! [X71,X78] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X71)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X71,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X71,X78)) = X78 ),
    file('<stdin>',fact_diff__diff__cancel) ).

fof(c_0_293,axiom,
    ! [X71,X76,X77] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X77,X76)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X77,X71),X76) ),
    file('<stdin>',fact_less__imp__diff__less) ).

fof(c_0_294,axiom,
    ! [X14,X1,X2,X5,X16] :
      ( class_Orderings_Oord(X16)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X2,X1)
       => c_Orderings_Oord__class_Oless__eq(X16,hAPP(X2,X14),hAPP(X1,X14)) ) ),
    file('<stdin>',fact_le__funD) ).

fof(c_0_295,axiom,
    ! [X14,X1,X2,X5,X16] :
      ( class_Orderings_Oord(X16)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X2,X1)
       => c_Orderings_Oord__class_Oless__eq(X16,hAPP(X2,X14),hAPP(X1,X14)) ) ),
    file('<stdin>',fact_le__funE) ).

fof(c_0_296,axiom,
    ! [X4,X31,X5] :
      ( c_Wellfounded_Oacyclic(X5,X31)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
       => c_Wellfounded_Oacyclic(X5,X4) ) ),
    file('<stdin>',fact_acyclic__subset) ).

fof(c_0_297,axiom,
    ! [X31,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
     => ( c_Relation_Oantisym(X5,X31)
       => c_Relation_Oantisym(X5,X4) ) ),
    file('<stdin>',fact_antisym__subset) ).

fof(c_0_298,axiom,
    ! [X40,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X40,X4)
       => c_Wellfounded_Owf(X5,X40) ) ),
    file('<stdin>',fact_wf__subset) ).

fof(c_0_299,axiom,
    ! [X5,X16] : c_Relation_ORange(X16,X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X16,X5),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    file('<stdin>',fact_Range__empty) ).

fof(c_0_300,axiom,
    ! [X16,X5] : c_Relation_ODomain(X5,X16,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X16),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    file('<stdin>',fact_Domain__empty) ).

fof(c_0_301,axiom,
    ! [X40,X4,X5] :
      ( c_Wellfounded_OwfP(X5,X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X5,tc_HOL_Obool)),X40,X4)
       => c_Wellfounded_OwfP(X5,X40) ) ),
    file('<stdin>',fact_wfP__subset) ).

fof(c_0_302,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless(X5,X62,X60)
         => c_Orderings_Oord__class_Oless(X5,X62,X59) ) ) ),
    file('<stdin>',fact_xt1_I8_J) ).

fof(c_0_303,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless(X5,X60,X62)
         => c_Orderings_Oord__class_Oless(X5,X59,X62) ) ) ),
    file('<stdin>',fact_order__le__less__trans) ).

fof(c_0_304,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X62,X60)
         => c_Orderings_Oord__class_Oless(X5,X62,X59) ) ) ),
    file('<stdin>',fact_xt1_I7_J) ).

fof(c_0_305,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X62)
         => c_Orderings_Oord__class_Oless(X5,X59,X62) ) ) ),
    file('<stdin>',fact_order__less__le__trans) ).

fof(c_0_306,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless(X5,X62,X60)
         => c_Orderings_Oord__class_Oless(X5,X62,X59) ) ) ),
    file('<stdin>',fact_xt1_I10_J) ).

fof(c_0_307,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless(X5,X60,X62)
         => c_Orderings_Oord__class_Oless(X5,X59,X62) ) ) ),
    file('<stdin>',fact_order__less__trans) ).

fof(c_0_308,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X62,X60)
         => c_Orderings_Oord__class_Oless__eq(X5,X62,X59) ) ) ),
    file('<stdin>',fact_xt1_I6_J) ).

fof(c_0_309,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X62)
         => c_Orderings_Oord__class_Oless__eq(X5,X59,X62) ) ) ),
    file('<stdin>',fact_order__trans) ).

fof(c_0_310,axiom,
    ! [X4,X40,X5] :
      ( c_member(tc_prod(X5,X5),X40,X4)
     => c_member(tc_prod(X5,X5),X40,c_Transitive__Closure_Otrancl(X5,X4)) ),
    file('<stdin>',fact_r__into__trancl_H) ).

fof(c_0_311,axiom,
    ! [X4,X40,X5] :
      ( c_member(tc_prod(X5,X5),X40,X4)
     => c_member(tc_prod(X5,X5),X40,c_Transitive__Closure_Ortrancl(X5,X4)) ),
    file('<stdin>',fact_r__into__rtrancl) ).

fof(c_0_312,axiom,
    ! [X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))
    <=> X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    file('<stdin>',fact_subset__empty) ).

fof(c_0_313,axiom,
    ! [X11,X12,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),X12),
    file('<stdin>',fact_Diff__subset) ).

fof(c_0_314,axiom,
    ! [X11,X12,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)),
    file('<stdin>',fact_Un__upper1) ).

fof(c_0_315,axiom,
    ! [X12,X11,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)),
    file('<stdin>',fact_Un__upper2) ).

fof(c_0_316,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Olinear__order__on(X5,X12,X4)
    <=> ( c_Order__Relation_Opartial__order__on(X5,X12,X4)
        & c_Relation_Ototal__on(X5,X12,X4) ) ),
    file('<stdin>',fact_linear__order__on__def) ).

fof(c_0_317,axiom,
    ! [X14,X5] : c_Set_Othe__elem(X5,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = X14,
    file('<stdin>',fact_the__elem__eq) ).

fof(c_0_318,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) ),
    file('<stdin>',fact_sup__left__idem) ).

fof(c_0_319,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) ),
    file('<stdin>',fact_inf__sup__aci_I8_J) ).

fof(c_0_320,axiom,
    ! [X27,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X28,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27) ),
    file('<stdin>',fact_sup_Oleft__idem) ).

fof(c_0_321,axiom,
    ! [X76,X77,X78] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X77)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X77,X76)
       => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X76) ) ),
    file('<stdin>',fact_le__trans) ).

fof(c_0_322,axiom,
    ! [X12,X14,X5] : c_Set_Oinsert(X5,X14,c_Set_Oinsert(X5,X14,X12)) = c_Set_Oinsert(X5,X14,X12),
    file('<stdin>',fact_insert__absorb2) ).

fof(c_0_323,axiom,
    ! [X4,X5,X16] :
      ( c_Relation_ORange(X16,X5,X4) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> X4 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X16,X5),tc_HOL_Obool)) ),
    file('<stdin>',fact_Range__empty__iff) ).

fof(c_0_324,axiom,
    ! [X4,X16,X5] :
      ( c_Relation_ODomain(X5,X16,X4) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> X4 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X16),tc_HOL_Obool)) ),
    file('<stdin>',fact_Domain__empty__iff) ).

fof(c_0_325,axiom,
    ! [X12,X5] : ~ c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    file('<stdin>',fact_not__psubset__empty) ).

fof(c_0_326,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X14,X13)
      <=> ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
          & ~ c_Orderings_Oord__class_Oless__eq(X5,X13,X14) ) ) ),
    file('<stdin>',fact_less__le__not__le) ).

fof(c_0_327,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
    <=> ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
        | X12 = X11 ) ),
    file('<stdin>',fact_subset__iff__psubset__eq) ).

fof(c_0_328,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
        & X12 != X11 ) ),
    file('<stdin>',fact_psubset__eq) ).

fof(c_0_329,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
    <=> c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = X11 ),
    file('<stdin>',fact_subset__Un__eq) ).

fof(c_0_330,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = X11 ),
    file('<stdin>',fact_Un__absorb1) ).

fof(c_0_331,axiom,
    ! [X12,X11,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12)
     => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = X12 ),
    file('<stdin>',fact_Un__absorb2) ).

fof(c_0_332,axiom,
    ! [X14,X56,X18,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X18,X56)
     => ( hBOOL(hAPP(X18,X14))
       => hBOOL(hAPP(X56,X14)) ) ),
    file('<stdin>',fact_predicate1D) ).

fof(c_0_333,axiom,
    ! [X56,X5,X14,X18] :
      ( hBOOL(hAPP(X18,X14))
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X18,X56)
       => hBOOL(hAPP(X56,X14)) ) ),
    file('<stdin>',fact_rev__predicate1D) ).

fof(c_0_334,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ),
    file('<stdin>',fact_psubset__imp__subset) ).

fof(c_0_335,axiom,
    ! [X5] : c_Relation_OField(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    file('<stdin>',fact_Field__empty) ).

fof(c_0_336,axiom,
    ! [X11,X12,X5] :
      ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
        & X11 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ) ),
    file('<stdin>',fact_Un__empty) ).

fof(c_0_337,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Ostrict__linear__order__on(X5,X12,X4)
    <=> ( c_Relation_Otrans(X5,X4)
        & c_Relation_Oirrefl(X5,X4)
        & c_Relation_Ototal__on(X5,X12,X4) ) ),
    file('<stdin>',fact_strict__linear__order__on__def) ).

fof(c_0_338,axiom,
    ! [X10,X11,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,c_Set_Oinsert(X5,X10,X11)),
    file('<stdin>',fact_subset__insertI) ).

fof(c_0_339,axiom,
    ! [X70,X8,X9,X10,X5] :
      ( class_Groups_Oab__group__add(X5)
     => ( c_Groups_Ominus__class_Ominus(X5,X10,X9) = c_Groups_Ominus__class_Ominus(X5,X8,X70)
       => ( X10 = X9
        <=> X8 = X70 ) ) ),
    file('<stdin>',fact_diff__eq__diff__eq) ).

fof(c_0_340,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
       => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
        <=> X14 = X13 ) ) ),
    file('<stdin>',fact_linorder__antisym__conv2) ).

fof(c_0_341,axiom,
    ! [X4,X5] :
      ( ! [X3] : c_member(X5,X3,c_Wellfounded_Oacc(X5,X4))
     => c_Wellfounded_Owf(X5,X4) ),
    file('<stdin>',fact_acc__wfI) ).

fof(c_0_342,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
    <=> ! [X3] : c_member(X5,X3,c_Wellfounded_Oacc(X5,X4)) ),
    file('<stdin>',fact_wf__acc__iff) ).

fof(c_0_343,axiom,
    ! [X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
         => X59 = X60 ) ) ),
    file('<stdin>',fact_xt1_I5_J) ).

fof(c_0_344,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
         => X59 = X60 ) ) ),
    file('<stdin>',fact_order__antisym) ).

fof(c_0_345,axiom,
    ! [X14,X13,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X13,X14)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
        <=> X14 = X13 ) ) ),
    file('<stdin>',fact_order__antisym__conv) ).

fof(c_0_346,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X14 = X13
      <=> ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
          & c_Orderings_Oord__class_Oless__eq(X5,X13,X14) ) ) ),
    file('<stdin>',fact_order__eq__iff) ).

fof(c_0_347,axiom,
    ! [X59,X60,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ~ c_Orderings_Oord__class_Oless(X5,X59,X60) ) ),
    file('<stdin>',fact_leD) ).

fof(c_0_348,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
      <=> c_Orderings_Oord__class_Oless(X5,X13,X14) ) ),
    file('<stdin>',fact_linorder__not__le) ).

fof(c_0_349,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
      <=> c_Orderings_Oord__class_Oless__eq(X5,X13,X14) ) ),
    file('<stdin>',fact_linorder__not__less) ).

fof(c_0_350,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ~ c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    file('<stdin>',fact_order__less__asym) ).

fof(c_0_351,axiom,
    ! [X28,X27,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X27,X28)
       => ~ c_Orderings_Oord__class_Oless(X5,X28,X27) ) ),
    file('<stdin>',fact_xt1_I9_J) ).

fof(c_0_352,axiom,
    ! [X27,X28,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X28,X27)
       => ~ c_Orderings_Oord__class_Oless(X5,X27,X28) ) ),
    file('<stdin>',fact_order__less__asym_H) ).

fof(c_0_353,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ~ c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    file('<stdin>',fact_order__less__imp__not__less) ).

fof(c_0_354,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ~ c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    file('<stdin>',fact_order__less__not__sym) ).

fof(c_0_355,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
      <=> ( c_Orderings_Oord__class_Oless(X5,X13,X14)
          | X14 = X13 ) ) ),
    file('<stdin>',fact_not__less__iff__gr__or__eq) ).

fof(c_0_356,axiom,
    ! [X15,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X15),c_Relation_OId(X5)) = c_Transitive__Closure_Ortrancl(X5,X15),
    file('<stdin>',fact_rtrancl__reflcl__absorb) ).

fof(c_0_357,axiom,
    ! [X4,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Otrancl(X5,X4),c_Relation_OId(X5)) = c_Transitive__Closure_Ortrancl(X5,X4),
    file('<stdin>',fact_reflcl__trancl) ).

fof(c_0_358,axiom,
    ! [X5] : c_Transitive__Closure_Ortrancl(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))) = c_Relation_OId(X5),
    file('<stdin>',fact_rtrancl__empty) ).

fof(c_0_359,axiom,
    ! [X5] : c_Relation_Oantisym(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    file('<stdin>',fact_antisym__empty) ).

fof(c_0_360,axiom,
    ! [X5] : c_Wellfounded_Owf(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    file('<stdin>',fact_wf__empty) ).

fof(c_0_361,axiom,
    ! [X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X72)
       => X72 = X71 ) ),
    file('<stdin>',fact_le__antisym) ).

fof(c_0_362,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) ),
    file('<stdin>',fact_inf__sup__ord_I3_J) ).

fof(c_0_363,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) ),
    file('<stdin>',fact_sup__ge1) ).

fof(c_0_364,axiom,
    ! [X59,X60,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X60,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) ),
    file('<stdin>',fact_inf__sup__ord_I4_J) ).

fof(c_0_365,axiom,
    ! [X59,X60,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X60,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) ),
    file('<stdin>',fact_sup__ge2) ).

fof(c_0_366,axiom,
    ! [X8,X5] : ~ c_member(X5,X8,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    file('<stdin>',fact_empty__iff) ).

fof(c_0_367,axiom,
    ! [X10,X5] : ~ c_member(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    file('<stdin>',fact_emptyE) ).

fof(c_0_368,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Opartial__order__on(X5,X12,X4)
    <=> ( c_Order__Relation_Opreorder__on(X5,X12,X4)
        & c_Relation_Oantisym(X5,X4) ) ),
    file('<stdin>',fact_partial__order__on__def) ).

fof(c_0_369,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Opreorder__on(X5,X12,X4)
    <=> ( c_Relation_Orefl__on(X5,X12,X4)
        & c_Relation_Otrans(X5,X4) ) ),
    file('<stdin>',fact_preorder__on__def) ).

fof(c_0_370,axiom,
    ! [X11,X10,X5] : c_member(X5,X10,c_Set_Oinsert(X5,X10,X11)),
    file('<stdin>',fact_insertI1) ).

fof(c_0_371,axiom,
    ! [X71,X72] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X72,X71),X72),
    file('<stdin>',fact_diff__le__self) ).

fof(c_0_372,axiom,
    ! [X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X12) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    file('<stdin>',fact_empty__Diff) ).

fof(c_0_373,axiom,
    ! [X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X12),
    file('<stdin>',fact_Un__commute) ).

fof(c_0_374,axiom,
    ! [X61,X28,X27,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X27,X28)
       => ( X27 = X61
         => c_Orderings_Oord__class_Oless(X5,X61,X28) ) ) ),
    file('<stdin>',fact_xt1_I2_J) ).

fof(c_0_375,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oord(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X28,X27)
       => ( X27 = X61
         => c_Orderings_Oord__class_Oless(X5,X28,X61) ) ) ),
    file('<stdin>',fact_ord__less__eq__trans) ).

fof(c_0_376,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X28 = X27
       => ( c_Orderings_Oord__class_Oless(X5,X61,X27)
         => c_Orderings_Oord__class_Oless(X5,X61,X28) ) ) ),
    file('<stdin>',fact_xt1_I1_J) ).

fof(c_0_377,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oord(X5)
     => ( X28 = X27
       => ( c_Orderings_Oord__class_Oless(X5,X27,X61)
         => c_Orderings_Oord__class_Oless(X5,X28,X61) ) ) ),
    file('<stdin>',fact_ord__eq__less__trans) ).

fof(c_0_378,axiom,
    ! [X14,X13,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X13,X14)
       => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
        <=> X14 = X13 ) ) ),
    file('<stdin>',fact_linorder__antisym__conv3) ).

fof(c_0_379,axiom,
    ! [X61,X28,X27,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X28)
       => ( X27 = X61
         => c_Orderings_Oord__class_Oless__eq(X5,X61,X28) ) ) ),
    file('<stdin>',fact_xt1_I4_J) ).

fof(c_0_380,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oord(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X27)
       => ( X27 = X61
         => c_Orderings_Oord__class_Oless__eq(X5,X28,X61) ) ) ),
    file('<stdin>',fact_ord__le__eq__trans) ).

fof(c_0_381,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X28 = X27
       => ( c_Orderings_Oord__class_Oless__eq(X5,X61,X27)
         => c_Orderings_Oord__class_Oless__eq(X5,X61,X28) ) ) ),
    file('<stdin>',fact_xt1_I3_J) ).

fof(c_0_382,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oord(X5)
     => ( X28 = X27
       => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X61)
         => c_Orderings_Oord__class_Oless__eq(X5,X28,X61) ) ) ),
    file('<stdin>',fact_ord__eq__le__trans) ).

fof(c_0_383,axiom,
    ! [X28,X27,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X28)
       => ( X28 != X27
         => c_Orderings_Oord__class_Oless(X5,X27,X28) ) ) ),
    file('<stdin>',fact_xt1_I11_J) ).

fof(c_0_384,axiom,
    ! [X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X27)
       => ( X28 != X27
         => c_Orderings_Oord__class_Oless(X5,X28,X27) ) ) ),
    file('<stdin>',fact_order__le__neq__trans) ).

fof(c_0_385,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
          | X59 = X60 ) ) ),
    file('<stdin>',fact_order__le__imp__less__or__eq) ).

fof(c_0_386,axiom,
    ! [X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X28 != X27
       => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X28)
         => c_Orderings_Oord__class_Oless(X5,X27,X28) ) ) ),
    file('<stdin>',fact_xt1_I12_J) ).

fof(c_0_387,axiom,
    ! [X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X28 != X27
       => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X27)
         => c_Orderings_Oord__class_Oless(X5,X28,X27) ) ) ),
    file('<stdin>',fact_order__neq__le__trans) ).

fof(c_0_388,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
        <=> X14 = X13 ) ) ),
    file('<stdin>',fact_linorder__antisym__conv1) ).

fof(c_0_389,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
      <=> ( c_Orderings_Oord__class_Oless(X5,X14,X13)
          | X14 = X13 ) ) ),
    file('<stdin>',fact_order__le__less) ).

fof(c_0_390,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X14,X13)
      <=> ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
          & X14 != X13 ) ) ),
    file('<stdin>',fact_order__less__le) ).

fof(c_0_391,axiom,
    ! [X13,X14,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
      <=> c_Lattices_Osemilattice__sup__class_Osup(X5,X14,X13) = X13 ) ),
    file('<stdin>',fact_le__iff__sup) ).

fof(c_0_392,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) = X60 ) ),
    file('<stdin>',fact_sup__absorb2) ).

fof(c_0_393,axiom,
    ! [X59,X60,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) = X59 ) ),
    file('<stdin>',fact_sup__absorb1) ).

fof(c_0_394,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => c_Orderings_Oord__class_Oless__eq(X5,X59,X60) ) ),
    file('<stdin>',fact_order__less__imp__le) ).

fof(c_0_395,axiom,
    ! [X5] : c_Relation_OId__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool)),
    file('<stdin>',fact_Id__on__empty) ).

fof(c_0_396,axiom,
    ! [X14,X5,X11,X12] :
      ( X12 = X11
     => ( c_member(X5,X14,X12)
      <=> c_member(X5,X14,X11) ) ),
    file('<stdin>',fact_eqset__imp__iff) ).

fof(c_0_397,axiom,
    ! [X12,X5,X13,X14] :
      ( X14 = X13
     => ( c_member(X5,X14,X12)
      <=> c_member(X5,X13,X12) ) ),
    file('<stdin>',fact_eqelem__imp__iff) ).

fof(c_0_398,axiom,
    ! [X12,X5,X9,X10] :
      ( X10 = X9
     => ( c_member(X5,X9,X12)
       => c_member(X5,X10,X12) ) ),
    file('<stdin>',fact_eq__mem__trans) ).

fof(c_0_399,axiom,
    ! [X8,X5,X11,X12] :
      ( X12 = X11
     => ( ( c_member(X5,X8,X12)
         => ~ c_member(X5,X8,X11) )
       => ~ ( ~ c_member(X5,X8,X12)
           => c_member(X5,X8,X11) ) ) ),
    file('<stdin>',fact_equalityCE) ).

fof(c_0_400,axiom,
    ! [X2,X15,X5] :
      ( c_Wellfounded_Owf(X5,X15)
     => c_Wellfounded_Owf(X5,c_Wellfounded_Omlex__prod(X5,X2,X15)) ),
    file('<stdin>',fact_wf__mlex) ).

fof(c_0_401,axiom,
    ! [X15,X5] :
      ( c_Wellfounded_Owf(X5,X15)
     => c_Wellfounded_OwfP(X5,c_FunDef_Oin__rel(X5,X5,X15)) ),
    file('<stdin>',fact_wf__in__rel) ).

fof(c_0_402,axiom,
    ! [X12,X10,X5] :
      ( c_member(X5,X10,X12)
     => c_Set_Oinsert(X5,X10,X12) = X12 ),
    file('<stdin>',fact_insert__absorb) ).

fof(c_0_403,axiom,
    ! [X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
     => ( X72 != X71
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71) ) ),
    file('<stdin>',fact_le__neq__implies__less) ).

fof(c_0_404,axiom,
    ! [X68,X69] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X69,X68)
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68)
        | X69 = X68 ) ),
    file('<stdin>',fact_le__eq__less__or__eq) ).

fof(c_0_405,axiom,
    ! [X68,X69] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X69,X68)
        & X69 != X68 ) ),
    file('<stdin>',fact_nat__less__le) ).

fof(c_0_406,axiom,
    ! [X71,X72] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71) ),
    file('<stdin>',fact_less__imp__le__nat) ).

fof(c_0_407,axiom,
    ! [X71,X72] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71)
        | X72 = X71 )
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71) ),
    file('<stdin>',fact_less__or__eq__imp__le) ).

fof(c_0_408,axiom,
    ! [X60,X59] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X59,X60)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X59,X60) ),
    file('<stdin>',fact_termination__basic__simps_I5_J) ).

fof(c_0_409,axiom,
    ! [X4,X5] : c_Relation_ORange(X5,X5,c_Transitive__Closure_Otrancl(X5,X4)) = c_Relation_ORange(X5,X5,X4),
    file('<stdin>',fact_trancl__range) ).

fof(c_0_410,axiom,
    ! [X4,X5] : c_Relation_ODomain(X5,X5,c_Transitive__Closure_Otrancl(X5,X4)) = c_Relation_ODomain(X5,X5,X4),
    file('<stdin>',fact_trancl__domain) ).

fof(c_0_411,axiom,
    ! [X10,X5,X12] :
      ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
     => ~ c_member(X5,X10,X12) ),
    file('<stdin>',fact_equals0D) ).

fof(c_0_412,axiom,
    ! [X12,X5] :
      ( ? [X3] : c_member(X5,X3,X12)
    <=> X12 != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    file('<stdin>',fact_ex__in__conv) ).

fof(c_0_413,axiom,
    ! [X12,X5] :
      ( ! [X3] : ~ c_member(X5,X3,X12)
    <=> X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    file('<stdin>',fact_all__not__in__conv) ).

fof(c_0_414,axiom,
    ! [X11,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X11) = X11,
    file('<stdin>',fact_Un__empty__left) ).

fof(c_0_415,axiom,
    ! [X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = X12,
    file('<stdin>',fact_Un__empty__right) ).

fof(c_0_416,axiom,
    ! [X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = X12,
    file('<stdin>',fact_Diff__empty) ).

fof(c_0_417,axiom,
    ! [X12,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X12),
    file('<stdin>',fact_empty__subsetI) ).

fof(c_0_418,axiom,
    ! [X12,X10,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != c_Set_Oinsert(X5,X10,X12),
    file('<stdin>',fact_empty__not__insert) ).

fof(c_0_419,axiom,
    ! [X12,X10,X5] : c_Set_Oinsert(X5,X10,X12) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    file('<stdin>',fact_insert__not__empty) ).

fof(c_0_420,axiom,
    ! [X1,X2] :
      ( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
     => X2 = X1 ),
    file('<stdin>',fact_ext) ).

fof(c_0_421,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ( X59 != X60
         => c_Orderings_Oord__class_Oless(X5,X60,X59) ) ) ),
    file('<stdin>',fact_linorder__cases) ).

fof(c_0_422,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( X59 != X60
       => ( ~ c_Orderings_Oord__class_Oless(X5,X59,X60)
         => c_Orderings_Oord__class_Oless(X5,X60,X59) ) ) ),
    file('<stdin>',fact_linorder__neqE) ).

fof(c_0_423,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
        | X59 = X60
        | c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    file('<stdin>',fact_linorder__less__linear) ).

fof(c_0_424,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( X14 != X13
      <=> ( c_Orderings_Oord__class_Oless(X5,X14,X13)
          | c_Orderings_Oord__class_Oless(X5,X13,X14) ) ) ),
    file('<stdin>',fact_linorder__neq__iff) ).

fof(c_0_425,axiom,
    ! [X59,X60,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => c_Orderings_Oord__class_Oless(X5,X59,X60) ) ),
    file('<stdin>',fact_not__leE) ).

fof(c_0_426,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X59,X60)
       => c_Orderings_Oord__class_Oless__eq(X5,X60,X59) ) ),
    file('<stdin>',fact_leI) ).

fof(c_0_427,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
        | c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    file('<stdin>',fact_linorder__le__less__linear) ).

fof(c_0_428,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => c_Orderings_Oord__class_Oless__eq(X5,X60,X59) ) ),
    file('<stdin>',fact_linorder__le__cases) ).

fof(c_0_429,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
        | c_Orderings_Oord__class_Oless__eq(X5,X60,X59) ) ),
    file('<stdin>',fact_linorder__linear) ).

fof(c_0_430,axiom,
    ! [X12,X14,X5] :
      ( c_member(X5,X14,X12)
    <=> hBOOL(hAPP(X12,X14)) ),
    file('<stdin>',fact_mem__def) ).

fof(c_0_431,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) = c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X59) ),
    file('<stdin>',fact_sup__commute) ).

fof(c_0_432,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) = c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X59) ),
    file('<stdin>',fact_inf__sup__aci_I5_J) ).

fof(c_0_433,axiom,
    ! [X27,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27) = c_Lattices_Osemilattice__sup__class_Osup(X5,X27,X28) ),
    file('<stdin>',fact_sup_Ocommute) ).

fof(c_0_434,axiom,
    ! [X60,X59] :
      ( X59 != X60
     => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X59,X60)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X60,X59) ) ),
    file('<stdin>',fact_linorder__neqE__nat) ).

fof(c_0_435,axiom,
    ! [X68,X69] :
      ( X69 != X68
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X68,X69) ) ),
    file('<stdin>',fact_nat__neq__iff) ).

fof(c_0_436,axiom,
    ! [X4,X5] : c_Relation_Ototal__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X4),
    file('<stdin>',fact_total__on__empty) ).

fof(c_0_437,axiom,
    ! [X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X72) ),
    file('<stdin>',fact_nat__le__linear) ).

fof(c_0_438,axiom,
    ! [X13,X14,X5] :
      ( class_Lattices_Obounded__lattice__bot(X5)
     => ( c_Lattices_Osemilattice__sup__class_Osup(X5,X14,X13) = c_Orderings_Obot__class_Obot(X5)
      <=> ( X14 = c_Orderings_Obot__class_Obot(X5)
          & X13 = c_Orderings_Obot__class_Obot(X5) ) ) ),
    file('<stdin>',fact_sup__eq__bot__iff) ).

fof(c_0_439,axiom,
    ! [X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X12) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    file('<stdin>',fact_Diff__cancel) ).

fof(c_0_440,axiom,
    ! [X14,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_member(X5,X14,c_Wellfounded_Oacc(X5,X4)) ),
    file('<stdin>',fact_acc__wfD) ).

fof(c_0_441,axiom,
    ! [X13,X14,X5] :
      ( c_member(X5,X14,c_fequal(X13))
    <=> X14 = X13 ),
    file('<stdin>',fact_eq__mem) ).

fof(c_0_442,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => X60 != X59 ) ),
    file('<stdin>',fact_order__less__imp__not__eq2) ).

fof(c_0_443,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => X59 != X60 ) ),
    file('<stdin>',fact_order__less__imp__not__eq) ).

fof(c_0_444,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => X59 != X60 ) ),
    file('<stdin>',fact_less__imp__neq) ).

fof(c_0_445,axiom,
    ! [X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ~ c_Orderings_Oord__class_Oless(X5,X59,X59) ),
    file('<stdin>',fact_order__less__irrefl) ).

fof(c_0_446,axiom,
    ! [X73,X74] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X74,X73)
     => X74 != X73 ),
    file('<stdin>',fact_less__not__refl3) ).

fof(c_0_447,axiom,
    ! [X72,X71] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X72)
     => X72 != X71 ),
    file('<stdin>',fact_less__not__refl2) ).

fof(c_0_448,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Owf(tc_fun(X5,tc_HOL_Obool),c_Wellfounded_Omin__ext(X5,X4)) ),
    file('<stdin>',fact_min__ext__wf) ).

fof(c_0_449,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Owf(tc_fun(X5,tc_HOL_Obool),c_Wellfounded_Omax__ext(X5,X4)) ),
    file('<stdin>',fact_max__ext__wf) ).

fof(c_0_450,axiom,
    ! [X71] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X71),
    file('<stdin>',fact_less__irrefl__nat) ).

fof(c_0_451,axiom,
    ! [X71] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X71),
    file('<stdin>',fact_less__not__refl) ).

fof(c_0_452,axiom,
    ! [X14,X16,X5] :
      ( class_Orderings_Obot(X5)
     => hAPP(c_Orderings_Obot__class_Obot(tc_fun(X16,X5)),X14) = c_Orderings_Obot__class_Obot(X5) ),
    file('<stdin>',fact_bot__apply) ).

fof(c_0_453,axiom,
    ! [X12,X5] : c_Relation_ODomain(X5,X5,c_Relation_OId__on(X5,X12)) = X12,
    file('<stdin>',fact_Domain__Id__on) ).

fof(c_0_454,axiom,
    ! [X12,X5] : c_Relation_ORange(X5,X5,c_Relation_OId__on(X5,X12)) = X12,
    file('<stdin>',fact_Range__Id__on) ).

fof(c_0_455,axiom,
    ! [X5,X11,X12] :
      ( X12 = X11
     => ~ ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
         => ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12) ) ),
    file('<stdin>',fact_equalityE) ).

fof(c_0_456,axiom,
    ! [X5,X11,X12] :
      ( X12 = X11
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12) ),
    file('<stdin>',fact_equalityD2) ).

fof(c_0_457,axiom,
    ! [X5,X11,X12] :
      ( X12 = X11
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ),
    file('<stdin>',fact_equalityD1) ).

fof(c_0_458,axiom,
    ! [X12,X5] : c_Relation_Osingle__valued(X5,X5,c_Relation_OId__on(X5,X12)),
    file('<stdin>',fact_single__valued__Id__on) ).

fof(c_0_459,axiom,
    ! [X12,X5] : c_Relation_Orefl__on(X5,X12,c_Relation_OId__on(X5,X12)),
    file('<stdin>',fact_refl__on__Id__on) ).

fof(c_0_460,axiom,
    ! [X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X12) = X12,
    file('<stdin>',fact_Un__absorb) ).

fof(c_0_461,axiom,
    ! [X12,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X12),
    file('<stdin>',fact_subset__refl) ).

fof(c_0_462,axiom,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP(c_fequal(X14),X13))
      | X14 = X13 ),
    file('<stdin>',help_c__fequal__1) ).

fof(c_0_463,axiom,
    ! [X59,X5] :
      ( class_Lattices_Obounded__lattice__bot(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,c_Orderings_Obot__class_Obot(X5),X59) = X59 ),
    file('<stdin>',fact_sup__bot__left) ).

fof(c_0_464,axiom,
    ! [X59,X5] :
      ( class_Lattices_Obounded__lattice__bot(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Orderings_Obot__class_Obot(X5)) = X59 ),
    file('<stdin>',fact_sup__bot__right) ).

fof(c_0_465,axiom,
    ! [X59,X5] :
      ( class_Orderings_Obot(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,c_Orderings_Obot__class_Obot(X5),X59) ),
    file('<stdin>',fact_bot__least) ).

fof(c_0_466,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( X59 = X60
       => c_Orderings_Oord__class_Oless__eq(X5,X59,X60) ) ),
    file('<stdin>',fact_order__eq__refl) ).

fof(c_0_467,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Owf(X5,c_Transitive__Closure_Otrancl(X5,X4)) ),
    file('<stdin>',fact_wf__trancl) ).

fof(c_0_468,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Oacyclic(X5,X4)
     => c_Relation_Oantisym(X5,c_Transitive__Closure_Ortrancl(X5,X4)) ),
    file('<stdin>',fact_acyclic__impl__antisym__rtrancl) ).

fof(c_0_469,axiom,
    ! [X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X59) = X59 ),
    file('<stdin>',fact_sup__idem) ).

fof(c_0_470,axiom,
    ! [X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X28) = X28 ),
    file('<stdin>',fact_sup_Oidem) ).

fof(c_0_471,axiom,
    ! [X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X59,X59) ),
    file('<stdin>',fact_order__refl) ).

fof(c_0_472,axiom,
    ! [X5] : c_Relation_Osingle__valued(X5,X5,c_Relation_OId(X5)),
    file('<stdin>',fact_single__valued__Id) ).

fof(c_0_473,axiom,
    ! [X71,X72] :
      ( X72 = X71
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71) ),
    file('<stdin>',fact_eq__imp__le) ).

fof(c_0_474,axiom,
    ! [X5] : c_Wellfounded_Omeasure(X5) = c_Relation_Oinv__image(tc_Nat_Onat,X5,c_Wellfounded_Oless__than),
    file('<stdin>',fact_measure__def) ).

fof(c_0_475,axiom,
    ! [X15,X5] : c_Transitive__Closure_Otrancl(X5,c_Transitive__Closure_Ortrancl(X5,X15)) = c_Transitive__Closure_Ortrancl(X5,X15),
    file('<stdin>',fact_rtrancl__trancl__absorb) ).

fof(c_0_476,axiom,
    ! [X15,X5] : c_Transitive__Closure_Ortrancl(X5,c_Transitive__Closure_Otrancl(X5,X15)) = c_Transitive__Closure_Ortrancl(X5,X15),
    file('<stdin>',fact_trancl__rtrancl__absorb) ).

fof(c_0_477,axiom,
    ! [X4,X5] : c_Transitive__Closure_Ortrancl(X5,c_Transitive__Closure_Ortrancl(X5,X4)) = c_Transitive__Closure_Ortrancl(X5,X4),
    file('<stdin>',fact_rtrancl__idemp) ).

fof(c_0_478,axiom,
    ! [X71] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X71),
    file('<stdin>',fact_le__refl) ).

fof(c_0_479,axiom,
    ! [X2,X5] : c_Wellfounded_Owf(X5,hAPP(c_Wellfounded_Omeasure(X5),X2)),
    file('<stdin>',fact_wf__measure) ).

fof(c_0_480,axiom,
    ! [X13,X14] :
      ( X14 != X13
      | hBOOL(hAPP(c_fequal(X14),X13)) ),
    file('<stdin>',help_c__fequal__2) ).

fof(c_0_481,axiom,
    ! [X12,X5] : c_Relation_Oantisym(X5,c_Relation_OId__on(X5,X12)),
    file('<stdin>',fact_antisym__Id__on) ).

fof(c_0_482,axiom,
    ! [X4,X5] : c_Relation_Otrans(X5,c_Transitive__Closure_Otrancl(X5,X4)),
    file('<stdin>',fact_trans__trancl) ).

fof(c_0_483,axiom,
    ! [X4,X5] : c_Relation_Otrans(X5,c_Transitive__Closure_Ortrancl(X5,X4)),
    file('<stdin>',fact_trans__rtrancl) ).

fof(c_0_484,axiom,
    ! [X12,X5] : c_Relation_Otrans(X5,c_Relation_OId__on(X5,X12)),
    file('<stdin>',fact_trans__Id__on) ).

fof(c_0_485,axiom,
    ! [X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => c_Transitive__Closure_Otrancl(X5,X4) = X4 ),
    file('<stdin>',fact_trancl__id) ).

fof(c_0_486,axiom,
    ! [X90,X91] :
      ( class_Groups_Ominus(X91)
     => class_Groups_Ominus(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Groups_Ominus) ).

fof(c_0_487,axiom,
    ! [X90,X91] :
      ( class_Orderings_Obot(X91)
     => class_Orderings_Obot(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Orderings_Obot) ).

fof(c_0_488,axiom,
    ! [X90,X91] :
      ( class_Orderings_Oord(X91)
     => class_Orderings_Oord(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Orderings_Oord) ).

fof(c_0_489,axiom,
    ! [X90,X91] :
      ( class_Orderings_Oorder(X91)
     => class_Orderings_Oorder(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Orderings_Oorder) ).

fof(c_0_490,axiom,
    ! [X90,X91] :
      ( class_Lattices_Olattice(X91)
     => class_Lattices_Olattice(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Lattices_Olattice) ).

fof(c_0_491,axiom,
    ! [X90,X91] :
      ( class_Orderings_Opreorder(X91)
     => class_Orderings_Opreorder(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Orderings_Opreorder) ).

fof(c_0_492,axiom,
    ! [X90,X91] :
      ( class_Lattices_Olattice(X91)
     => class_Lattices_Osemilattice__sup(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Lattices_Osemilattice__sup) ).

fof(c_0_493,axiom,
    ! [X90,X91] :
      ( class_Lattices_Obounded__lattice(X91)
     => class_Lattices_Obounded__lattice__bot(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Lattices_Obounded__lattice__bot) ).

fof(c_0_494,axiom,
    ! [X90,X91] :
      ( class_Lattices_Obounded__lattice(X91)
     => class_Lattices_Obounded__lattice(tc_fun(X90,X91)) ),
    file('<stdin>',arity_fun__Lattices_Obounded__lattice) ).

fof(c_0_495,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Oacyclic(X5,X4) ),
    file('<stdin>',fact_wf__acyclic) ).

fof(c_0_496,axiom,
    c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    file('<stdin>',fact_min__strict__def) ).

fof(c_0_497,axiom,
    c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    file('<stdin>',fact_max__strict__def) ).

fof(c_0_498,axiom,
    c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    file('<stdin>',fact_wf__pair__less) ).

fof(c_0_499,axiom,
    ! [X5] : c_Relation_Oantisym(X5,c_Relation_OId(X5)),
    file('<stdin>',fact_antisym__Id) ).

fof(c_0_500,axiom,
    ! [X5] : c_Relation_Otrans(X5,c_Relation_OId(X5)),
    file('<stdin>',fact_trans__Id) ).

fof(c_0_501,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    file('<stdin>',fact_wf__pred__nat) ).

fof(c_0_502,axiom,
    c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    file('<stdin>',fact_less__than__def) ).

fof(c_0_503,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
    file('<stdin>',fact_wf__less__than) ).

fof(c_0_504,axiom,
    c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than),
    file('<stdin>',fact_trans__less__than) ).

fof(c_0_505,axiom,
    class_Groups_Ominus(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Groups_Ominus) ).

fof(c_0_506,axiom,
    class_Orderings_Obot(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Orderings_Obot) ).

fof(c_0_507,axiom,
    class_Orderings_Oord(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Orderings_Oord) ).

fof(c_0_508,axiom,
    class_Orderings_Oorder(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Orderings_Oorder) ).

fof(c_0_509,axiom,
    class_Lattices_Olattice(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Lattices_Olattice) ).

fof(c_0_510,axiom,
    class_Orderings_Opreorder(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Orderings_Opreorder) ).

fof(c_0_511,axiom,
    class_Lattices_Osemilattice__sup(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Lattices_Osemilattice__sup) ).

fof(c_0_512,axiom,
    class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Lattices_Obounded__lattice__bot) ).

fof(c_0_513,axiom,
    class_Groups_Ominus(tc_Nat_Onat),
    file('<stdin>',arity_Nat__Onat__Groups_Ominus) ).

fof(c_0_514,axiom,
    class_Orderings_Obot(tc_Nat_Onat),
    file('<stdin>',arity_Nat__Onat__Orderings_Obot) ).

fof(c_0_515,axiom,
    class_Orderings_Oord(tc_Nat_Onat),
    file('<stdin>',arity_Nat__Onat__Orderings_Oord) ).

fof(c_0_516,axiom,
    class_Orderings_Oorder(tc_Nat_Onat),
    file('<stdin>',arity_Nat__Onat__Orderings_Oorder) ).

fof(c_0_517,axiom,
    class_Lattices_Olattice(tc_Nat_Onat),
    file('<stdin>',arity_Nat__Onat__Lattices_Olattice) ).

fof(c_0_518,axiom,
    class_Orderings_Olinorder(tc_Nat_Onat),
    file('<stdin>',arity_Nat__Onat__Orderings_Olinorder) ).

fof(c_0_519,axiom,
    class_Orderings_Opreorder(tc_Nat_Onat),
    file('<stdin>',arity_Nat__Onat__Orderings_Opreorder) ).

fof(c_0_520,axiom,
    class_Lattices_Osemilattice__sup(tc_Nat_Onat),
    file('<stdin>',arity_Nat__Onat__Lattices_Osemilattice__sup) ).

fof(c_0_521,axiom,
    class_Lattices_Obounded__lattice(tc_HOL_Obool),
    file('<stdin>',arity_HOL__Obool__Lattices_Obounded__lattice) ).

fof(c_0_522,axiom,
    ! [X18,X4,X41,X42,X43,X44,X16,X5] :
      ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X44,X43),c_Product__Type_OPair(X5,X16,X42,X41)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
     => ( hBOOL(hAPP(hAPP(X18,X42),X41))
       => ( ! [X21,X22,X45,X46] :
              ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X21,X22),c_Product__Type_OPair(X5,X16,X45,X46)),X4)
             => ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X45,X46),c_Product__Type_OPair(X5,X16,X42,X41)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
               => ( hBOOL(hAPP(hAPP(X18,X45),X46))
                 => hBOOL(hAPP(hAPP(X18,X21),X22)) ) ) )
         => hBOOL(hAPP(hAPP(X18,X44),X43)) ) ) ),
    c_0_0 ).

fof(c_0_523,axiom,
    ! [X18,X4,X41,X42,X43,X44,X16,X5] :
      ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X44,X43),c_Product__Type_OPair(X5,X16,X42,X41)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
     => ( hBOOL(hAPP(hAPP(X18,X44),X43))
       => ( ! [X21,X22] :
              ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X44,X43),c_Product__Type_OPair(X5,X16,X21,X22)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
             => ! [X45,X46] :
                  ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X21,X22),c_Product__Type_OPair(X5,X16,X45,X46)),X4)
                 => ( hBOOL(hAPP(hAPP(X18,X21),X22))
                   => hBOOL(hAPP(hAPP(X18,X45),X46)) ) ) )
         => hBOOL(hAPP(hAPP(X18,X42),X41)) ) ) ),
    c_0_1 ).

fof(c_0_524,plain,
    ! [X4,X47,X48,X49,X50,X16,X5] :
      ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X50,X49),c_Product__Type_OPair(X5,X16,X48,X47)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4))
     => ( c_Product__Type_OPair(X5,X16,X50,X49) != c_Product__Type_OPair(X5,X16,X48,X47)
       => ~ ! [X21,X22] :
              ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X50,X49),c_Product__Type_OPair(X5,X16,X21,X22)),X4)
             => ~ c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X21,X22),c_Product__Type_OPair(X5,X16,X48,X47)),c_Transitive__Closure_Ortrancl(tc_prod(X5,X16),X4)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_525,axiom,
    ! [X87,X36,X35,X88,X89,X16,X5] :
      ( c_Nitpick_Ofold__graph_H(X5,X16,X89,X88,X35,hAPP(hAPP(X89,X36),X87))
    <=> ( ( X35 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
          & hAPP(hAPP(X89,X36),X87) = X88 )
        | ? [X3,X6] :
            ( hAPP(hAPP(X89,X36),X87) = hAPP(hAPP(X89,X3),X6)
            & c_member(X5,X3,X35)
            & c_Nitpick_Ofold__graph_H(X5,X16,X89,X88,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X35,c_Set_Oinsert(X5,X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X6) ) ) ),
    c_0_3 ).

fof(c_0_526,axiom,
    ! [X35,X36,X37,X15,X16,X5] :
      ( c_Recdef_Owfrec__rel(X5,X16,X15,X37,X36,hAPP(hAPP(X37,X35),X36))
    <=> ? [X38] :
          ( hAPP(hAPP(X37,X35),X36) = hAPP(hAPP(X37,X38),X36)
          & ! [X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X36),X15)
             => c_Recdef_Owfrec__rel(X5,X16,X15,X37,X7,hAPP(X38,X7)) ) ) ),
    c_0_4 ).

fof(c_0_527,axiom,
    ! [X35,X36,X37,X15,X16,X5] :
      ( c_Recdef_Owfrec__rel(X5,X16,X15,X37,X36,X35)
    <=> ? [X38] :
          ( X35 = hAPP(hAPP(X37,X38),X36)
          & ! [X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X36),X15)
             => c_Recdef_Owfrec__rel(X5,X16,X15,X37,X7,hAPP(X38,X7)) ) ) ),
    c_0_5 ).

fof(c_0_528,axiom,
    ! [X1,X37,X16,X15,X14,X5] :
      ( ! [X7] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X14),X15)
         => c_Recdef_Owfrec__rel(X5,X16,X15,X37,X7,hAPP(X1,X7)) )
     => c_Recdef_Owfrec__rel(X5,X16,X15,X37,X14,hAPP(hAPP(X37,X1),X14)) ),
    c_0_6 ).

fof(c_0_529,axiom,
    ! [X1,X14,X4,X2,X16,X5] :
      ( c_Recdef_Ocut(X5,X16,X2,X4,X14) = c_Recdef_Ocut(X5,X16,X1,X4,X14)
    <=> ! [X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X14),X4)
         => hAPP(X2,X6) = hAPP(X1,X6) ) ),
    c_0_7 ).

fof(c_0_530,axiom,
    ! [X9,X10,X2,X16,X5] :
      ( hBOOL(c_Product__Type_Ocurry(X5,X16,tc_HOL_Obool,X2,X10,X9))
     => hBOOL(hAPP(X2,c_Product__Type_OPair(X5,X16,X10,X9))) ),
    c_0_8 ).

fof(c_0_531,axiom,
    ! [X9,X10,X2,X16,X5] :
      ( hBOOL(c_Product__Type_Ocurry(X5,X16,tc_HOL_Obool,X2,X10,X9))
     => hBOOL(hAPP(X2,c_Product__Type_OPair(X5,X16,X10,X9))) ),
    c_0_9 ).

fof(c_0_532,axiom,
    ! [X13,X39,X2,X16,X12,X14,X5] :
      ( c_member(X5,X14,X12)
     => ( c_Nitpick_Ofold__graph_H(X5,X16,X2,X39,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X13)
       => c_Nitpick_Ofold__graph_H(X5,X16,X2,X39,X12,hAPP(hAPP(X2,X14),X13)) ) ),
    c_0_10 ).

fof(c_0_533,axiom,
    ! [X9,X10,X16,X5,X2] :
      ( hBOOL(hAPP(X2,c_Product__Type_OPair(X5,X16,X10,X9)))
     => hBOOL(c_Product__Type_Ocurry(X5,X16,tc_HOL_Obool,X2,X10,X9)) ),
    c_0_11 ).

fof(c_0_534,axiom,
    ! [X56,X18,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X18,X56)))
     => ( ! [X3] :
            ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X3),c_Transitive__Closure_Ortrancl(X5,X18))
           => ! [X6] :
                ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X56)
               => X3 = X6 ) )
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X18)) ) ),
    c_0_12 ).

fof(c_0_535,axiom,
    ! [X56,X18,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X18,X56)))
     => ( ! [X3] :
            ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X9),c_Transitive__Closure_Ortrancl(X5,X18))
           => ! [X6] :
                ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X3),X56)
               => X6 = X3 ) )
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X18)) ) ),
    c_0_13 ).

fof(c_0_536,axiom,
    ! [X18,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( hBOOL(hAPP(X18,X10))
       => ( ! [X6] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X6),c_Transitive__Closure_Ortrancl(X5,X4))
             => ! [X7] :
                  ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X4)
                 => ( hBOOL(hAPP(X18,X6))
                   => hBOOL(hAPP(X18,X7)) ) ) )
         => hBOOL(hAPP(X18,X9)) ) ) ),
    c_0_14 ).

fof(c_0_537,axiom,
    ! [X18,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( hBOOL(hAPP(X18,X9))
       => ( ! [X6,X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X4)
             => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X9),c_Transitive__Closure_Ortrancl(X5,X4))
               => ( hBOOL(hAPP(X18,X7))
                 => hBOOL(hAPP(X18,X6)) ) ) )
         => hBOOL(hAPP(X18,X10)) ) ) ),
    c_0_15 ).

fof(c_0_538,axiom,
    ! [X14,X37,X15,X5,X16] : c_Nitpick_Owf__wfrec_H(X16,X5,X15,X37,X14) = hAPP(hAPP(X37,c_Recdef_Ocut(X16,X5,c_Nitpick_Owf__wfrec(X16,X5,X15,X37),X15,X14)),X14),
    c_0_16 ).

fof(c_0_539,axiom,
    ! [X11,X12,X4,X5] :
      ( c_Order__Relation_Opreorder__on(X5,c_Relation_OField(X5,X4),X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Relation_OField(X5,X4))
       => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,c_Relation_OField(X5,X4))
         => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X5,X5,X4,X12),c_Relation_OImage(X5,X5,X4,X11))
          <=> ! [X3] :
                ( c_member(X5,X3,X12)
               => ? [X32] :
                    ( c_member(X5,X32,X11)
                    & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X32,X3),X4) ) ) ) ) ) ),
    c_0_17 ).

fof(c_0_540,axiom,
    ! [X16,X5,X64,X52] :
      ( c_Wellfounded_Owf(X5,X52)
     => ! [X3] : hAPP(c_Recdef_Owfrec(X5,X16,X52,X64),X3) = hAPP(hAPP(X64,c_Recdef_Ocut(X5,X16,c_Recdef_Owfrec(X5,X16,X52,X64),X52,X3)),X3) ),
    c_0_18 ).

fof(c_0_541,axiom,
    ! [X10,X63,X16,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => hAPP(c_Recdef_Owfrec(X5,X16,X4,X63),X10) = hAPP(hAPP(X63,c_Recdef_Ocut(X5,X16,c_Recdef_Owfrec(X5,X16,X4,X63),X4,X10)),X10) ),
    c_0_19 ).

fof(c_0_542,axiom,
    ! [X9,X10,X2,X5,X30,X16] : c_Product__Type_Ocurry(X16,X30,X5,X2,X10,X9) = hAPP(X2,c_Product__Type_OPair(X16,X30,X10,X9)),
    c_0_20 ).

fof(c_0_543,axiom,
    ! [X31,X4,X23,X24,X9,X10,X16,X5] :
      ( c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),c_Product__Type_OPair(X5,X16,X24,X23)),c_Wellfounded_Olex__prod(X5,X16,X4,X31))
    <=> ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X24),X4)
        | ( X10 = X24
          & c_member(tc_prod(X16,X16),c_Product__Type_OPair(X16,X16,X9,X23),X31) ) ) ),
    c_0_21 ).

fof(c_0_544,plain,
    ! [X12,X4,X16,X9,X5] :
      ( c_member(X5,X9,c_Relation_OImage(X16,X5,X4,X12))
     => ~ ! [X3] :
            ( c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X3,X9),X4)
           => ~ c_member(X16,X3,X12) ) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_545,axiom,
    ! [X12,X4,X16,X9,X5] :
      ( c_member(X5,X9,c_Relation_OImage(X16,X5,X4,X12))
    <=> ? [X3] :
          ( c_member(X16,X3,X12)
          & c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X3,X9),X4) ) ),
    c_0_23 ).

fof(c_0_546,axiom,
    c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    c_0_24 ).

fof(c_0_547,axiom,
    c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    c_0_25 ).

fof(c_0_548,axiom,
    ! [X35,X36,X16,X5] : c_Nitpick_Ofold__graph_H(X5,X16,X36,X35,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X35),
    c_0_26 ).

fof(c_0_549,axiom,
    ! [X39,X2,X16,X5] : c_Nitpick_Ofold__graph_H(X5,X16,X2,X39,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X39),
    c_0_27 ).

fof(c_0_550,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Relation_Orel__comp(X5,X5,X5,X12,X11) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))
     => ( c_Relation_Orel__comp(X5,X5,X5,X12,X54) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))
       => c_Relation_Orel__comp(X5,X5,X5,X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X11,X54)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool)) ) ),
    c_0_28 ).

fof(c_0_551,axiom,
    ! [X10,X63,X4,X16,X5,X2] :
      ( X2 = c_Recdef_Owfrec(X5,X16,X4,X63)
     => ( c_Wellfounded_Owf(X5,X4)
       => hAPP(X2,X10) = hAPP(hAPP(X63,c_Recdef_Ocut(X5,X16,X2,X4,X10)),X10) ) ),
    c_0_29 ).

fof(c_0_552,axiom,
    ! [X55,X15,X5] :
      ( c_Wellfounded_Owf(X5,X15)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Relation_Orel__comp(X5,X5,X5,X15,X55),X15)
       => c_FunDef_Oreduction__pair(X5,c_Product__Type_OPair(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55)) ) ),
    c_0_30 ).

fof(c_0_553,axiom,
    ! [X31,X8,X30,X4,X9,X10,X16,X5] :
      ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)
     => ( c_member(tc_prod(X16,X30),c_Product__Type_OPair(X16,X30,X9,X8),X31)
       => c_member(tc_prod(X5,X30),c_Product__Type_OPair(X5,X30,X10,X8),c_Relation_Orel__comp(X5,X16,X30,X4,X31)) ) ),
    c_0_31 ).

fof(c_0_554,axiom,
    ! [X83,X13,X84,X14] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X84)
     => ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X13),c_FunDef_Opair__leq)
       => ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,X83),c_FunDef_Omin__weak)
         => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X13,X83)),c_FunDef_Omin__weak) ) ) ),
    c_0_32 ).

fof(c_0_555,axiom,
    ! [X84,X14,X83,X13] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X13,X83)
     => ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X13),c_FunDef_Opair__leq)
       => ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,X83),c_FunDef_Omax__weak)
         => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X84),X83),c_FunDef_Omax__weak) ) ) ),
    c_0_33 ).

fof(c_0_556,axiom,
    ! [X83,X13,X84,X14] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X84)
     => ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X13),c_FunDef_Opair__less)
       => ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,X83),c_FunDef_Omin__strict)
         => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X84,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X13,X83)),c_FunDef_Omin__strict) ) ) ),
    c_0_34 ).

fof(c_0_557,axiom,
    ! [X81,X14,X82,X13] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X13,X82)
     => ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X13),c_FunDef_Opair__less)
       => ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X81,X82),c_FunDef_Omax__strict)
         => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X14,X81),X82),c_FunDef_Omax__strict) ) ) ),
    c_0_35 ).

fof(c_0_558,axiom,
    ! [X5,X15,X13,X17,X16,X14,X18] :
      ( hBOOL(hAPP(X18,X14))
     => ( c_member(tc_prod(X16,X16),c_Product__Type_OPair(X16,X16,X17,X13),hAPP(X15,X14))
       => c_member(tc_prod(tc_prod(X5,X16),tc_prod(X5,X16)),c_Product__Type_OPair(tc_prod(X5,X16),tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X14,X17),c_Product__Type_OPair(X5,X16,X14,X13)),c_Recdef_Osame__fst(X5,X16,X18,X15)) ) ),
    c_0_36 ).

fof(c_0_559,axiom,
    ! [X9,X10,X4,X5] :
      ( c_Order__Relation_Opreorder__on(X5,c_Relation_OField(X5,X4),X4)
     => ( c_member(X5,X10,c_Relation_OField(X5,X4))
       => ( c_member(X5,X9,c_Relation_OField(X5,X4))
         => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))))
          <=> c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X10),X4) ) ) ) ),
    c_0_37 ).

fof(c_0_560,axiom,
    ! [X66,X54,X15,X11,X12,X5] :
      ( c_member(tc_prod(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool),X12,X11),c_Wellfounded_Omax__ext(X5,X15))
     => ( c_member(tc_prod(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool),X54,X66),c_Wellfounded_Omax__ext(X5,X15))
       => c_member(tc_prod(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X5,tc_HOL_Obool),tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X54),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X66)),c_Wellfounded_Omax__ext(X5,X15)) ) ),
    c_0_38 ).

fof(c_0_561,axiom,
    ! [X10,X9,X4,X12,X5] :
      ( c_Equiv__Relations_Oequiv(X5,X12,X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))))
       => ( c_member(X5,X9,X12)
         => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4) ) ) ),
    c_0_39 ).

fof(c_0_562,axiom,
    ! [X18,X11,X12,X5] :
      ( ! [X3] :
          ( c_member(X5,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11))
         => hBOOL(hAPP(X18,X3)) )
    <=> ( ! [X3] :
            ( c_member(X5,X3,X12)
           => hBOOL(hAPP(X18,X3)) )
        & ! [X3] :
            ( c_member(X5,X3,X11)
           => hBOOL(hAPP(X18,X3)) ) ) ),
    c_0_40 ).

fof(c_0_563,plain,
    ! [X13,X14,X4,X5] :
      ( ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),X4)
       => X14 != X13 ) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_564,axiom,
    ! [X1,X2,X5,X16] :
      ( class_Orderings_Oord(X16)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X2,X1)
      <=> ! [X3] : c_Orderings_Oord__class_Oless__eq(X16,hAPP(X2,X3),hAPP(X1,X3)) ) ),
    c_0_42 ).

fof(c_0_565,axiom,
    ! [X16,X10,X14,X5,X51,X52] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X10),X52)
     => hAPP(c_Recdef_Ocut(X5,X16,X51,X52,X10),X14) = hAPP(X51,X14) ),
    c_0_43 ).

fof(c_0_566,axiom,
    ! [X2,X16,X4,X10,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X10),X4)
     => hAPP(c_Recdef_Ocut(X5,X16,X2,X4,X10),X14) = hAPP(X2,X14) ),
    c_0_44 ).

fof(c_0_567,axiom,
    ! [X39,X13,X14,X4,X5] :
      ( c_Relation_Osingle__valued(X5,X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X4))
       => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),c_Transitive__Closure_Ortrancl(X5,X4))
         => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X39),c_Transitive__Closure_Ortrancl(X5,X4))
            | c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X39,X13),c_Transitive__Closure_Ortrancl(X5,X4)) ) ) ) ),
    c_0_45 ).

fof(c_0_568,plain,
    ! [X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => ( ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
       => ~ ! [X53] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X53),c_Transitive__Closure_Otrancl(X5,X4))
             => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X53,X9),X4) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_569,plain,
    ! [X4,X39,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),c_Transitive__Closure_Otrancl(X5,X4))
     => ( ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),X4)
       => ~ ! [X6] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X6),X4)
             => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X39),c_Transitive__Closure_Otrancl(X5,X4)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_570,axiom,
    ! [X16,X5,X18] :
      ( ! [X20] : hBOOL(hAPP(X18,X20))
    <=> ! [X21,X22] : hBOOL(hAPP(X18,c_Product__Type_OPair(X5,X16,X21,X22))) ),
    c_0_48 ).

fof(c_0_571,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)),
    c_0_49 ).

fof(c_0_572,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)),
    c_0_50 ).

fof(c_0_573,axiom,
    ! [X80,X31,X9,X10] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X10,X9)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31,X80)
       => c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X10,X31),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X9,X80)),c_FunDef_Opair__leq) ) ),
    c_0_51 ).

fof(c_0_574,axiom,
    ! [X80,X31,X9,X10] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X10,X9)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31,X80)
       => c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X10,X31),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X9,X80)),c_FunDef_Opair__less) ) ),
    c_0_52 ).

fof(c_0_575,plain,
    ! [X4,X14,X13,X5] :
      ( c_Wellfounded_Owf(X5,c_Set_Oinsert(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X14),X4))
    <=> ( c_Wellfounded_Owf(X5,X4)
        & ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_576,plain,
    ! [X4,X14,X13,X5] :
      ( c_Wellfounded_Oacyclic(X5,c_Set_Oinsert(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X14),X4))
    <=> ( c_Wellfounded_Oacyclic(X5,X4)
        & ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_577,axiom,
    ! [X80,X31,X9,X10] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10,X9)
     => c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X10,X31),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X9,X80)),c_FunDef_Opair__leq) ),
    c_0_55 ).

fof(c_0_578,axiom,
    ! [X80,X31,X9,X10] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10,X9)
     => c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X10,X31),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X9,X80)),c_FunDef_Opair__less) ),
    c_0_56 ).

fof(c_0_579,axiom,
    ! [X4,X5] : c_Transitive__Closure_Ortrancl(X5,X4) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Relation_OId(X5),c_Relation_Orel__comp(X5,X5,X5,c_Transitive__Closure_Ortrancl(X5,X4),X4)),
    c_0_57 ).

fof(c_0_580,plain,
    ! [X4,X39,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( X14 != X39
       => ~ ! [X6] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X6),X4)
             => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X39),c_Transitive__Closure_Ortrancl(X5,X4)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_581,plain,
    ! [X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( X10 != X9
       => ~ ! [X6] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X6),c_Transitive__Closure_Ortrancl(X5,X4))
             => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X9),X4) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_582,axiom,
    ! [X15,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Otrancl(X5,X15))
     => ? [X7] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X7),X15)
          & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X13),c_Transitive__Closure_Ortrancl(X5,X15)) ) ),
    c_0_60 ).

fof(c_0_583,axiom,
    ! [X15,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Otrancl(X5,X15))
     => ? [X7] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X7),c_Transitive__Closure_Ortrancl(X5,X15))
          & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X13),X15) ) ),
    c_0_61 ).

fof(c_0_584,axiom,
    ! [X39,X4,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X39),c_Transitive__Closure_Otrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X39),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    c_0_62 ).

fof(c_0_585,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    c_0_63 ).

fof(c_0_586,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Otrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    c_0_64 ).

fof(c_0_587,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    c_0_65 ).

fof(c_0_588,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X4)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    c_0_66 ).

fof(c_0_589,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    c_0_67 ).

fof(c_0_590,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X4)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    c_0_68 ).

fof(c_0_591,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Otrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X4)) ) ),
    c_0_69 ).

fof(c_0_592,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X4)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    c_0_70 ).

fof(c_0_593,axiom,
    ! [X8,X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Ortrancl(X5,X4)) ) ),
    c_0_71 ).

fof(c_0_594,axiom,
    ! [X18,X11,X12,X5] :
      ( ? [X3] :
          ( c_member(X5,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11))
          & hBOOL(hAPP(X18,X3)) )
    <=> ( ? [X3] :
            ( c_member(X5,X3,X12)
            & hBOOL(hAPP(X18,X3)) )
        | ? [X3] :
            ( c_member(X5,X3,X11)
            & hBOOL(hAPP(X18,X3)) ) ) ),
    c_0_72 ).

fof(c_0_595,axiom,
    ! [X8,X15,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X15)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X15)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),c_Transitive__Closure_Otrancl(X5,X15)) ) ),
    c_0_73 ).

fof(c_0_596,axiom,
    ! [X8,X9,X10,X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
       => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X8),X4)
         => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X8),X4) ) ) ),
    c_0_74 ).

fof(c_0_597,axiom,
    ! [X4,X5] :
      ( c_Relation_Otrans(X5,X4)
    <=> ! [X3,X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X4)
         => ! [X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X4)
             => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X7),X4) ) ) ),
    c_0_75 ).

fof(c_0_598,axiom,
    ! [X5,X15,X16,X18] :
      ( ! [X3] :
          ( hBOOL(hAPP(X18,X3))
         => c_Wellfounded_Owf(X16,hAPP(X15,X3)) )
     => c_Wellfounded_Owf(tc_prod(X5,X16),c_Recdef_Osame__fst(X5,X16,X18,X15)) ),
    c_0_76 ).

fof(c_0_599,axiom,
    ! [X10,X4,X16,X9,X5] :
      ( c_member(X5,X9,c_Relation_OImage(X16,X5,X4,c_Set_Oinsert(X16,X10,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool)))))
    <=> c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X10,X9),X4) ),
    c_0_77 ).

fof(c_0_600,axiom,
    ! [X2,X4,X16,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),hAPP(c_Relation_Oinv__image(X16,X5,X4),X2))
    <=> c_member(tc_prod(X16,X16),c_Product__Type_OPair(X16,X16,hAPP(X2,X14),hAPP(X2,X13)),X4) ),
    c_0_78 ).

fof(c_0_601,plain,
    ! [X13,X14,X19] :
      ( c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X19,c_Arrow__Order__Mirabelle_OLin)
     => ( X14 != X13
       => ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X14,X13),X19)
        <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),X19) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_602,axiom,
    ! [X4,X16,X5] :
      ( c_Relation_Osingle__valued(X5,X16,X4)
    <=> ! [X3,X6] :
          ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X3,X6),X4)
         => ! [X7] :
              ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X3,X7),X4)
             => X6 = X7 ) ) ),
    c_0_80 ).

fof(c_0_603,axiom,
    ! [X39,X13,X14,X4,X16,X5] :
      ( c_Relation_Osingle__valued(X5,X16,X4)
     => ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X14,X13),X4)
       => ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X14,X39),X4)
         => X13 = X39 ) ) ),
    c_0_81 ).

fof(c_0_604,axiom,
    ! [X9,X10,X4,X5] :
      ( c_Relation_Orefl__on(X5,c_Relation_OField(X5,X4),X4)
     => ( c_Relation_Oantisym(X5,X4)
       => ( c_member(X5,X10,c_Relation_OField(X5,X4))
         => ( c_member(X5,X9,c_Relation_OField(X5,X4))
           => ( c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
            <=> X10 = X9 ) ) ) ) ),
    c_0_82 ).

fof(c_0_605,axiom,
    ! [X4,X5] :
      ( c_Relation_Oantisym(X5,X4)
    <=> ! [X3,X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X4)
         => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X3),X4)
           => X3 = X6 ) ) ),
    c_0_83 ).

fof(c_0_606,axiom,
    ! [X9,X10,X4,X5] :
      ( c_Relation_Oantisym(X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
       => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X10),X4)
         => X10 = X9 ) ) ),
    c_0_84 ).

fof(c_0_607,plain,
    ! [X14,X10,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X14),X4)
       => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X10),X4) ) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_608,plain,
    ! [X14,X10,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X14),X4)
       => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X10),X4) ) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_609,axiom,
    ! [X9,X10,X4,X5] :
      ( c_Order__Relation_Opartial__order__on(X5,c_Relation_OField(X5,X4),X4)
     => ( c_member(X5,X10,c_Relation_OField(X5,X4))
       => ( c_member(X5,X9,c_Relation_OField(X5,X4))
         => ( c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
          <=> X10 = X9 ) ) ) ),
    c_0_87 ).

fof(c_0_610,plain,
    ! [X4,X16,X10,X5] :
      ( c_member(X5,X10,c_Relation_ODomain(X5,X16,X4))
     => ~ ! [X6] : ~ c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X6),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_611,plain,
    ! [X4,X16,X9,X5] :
      ( c_member(X5,X9,c_Relation_ORange(X16,X5,X4))
     => ~ ! [X3] : ~ c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X3,X9),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_612,axiom,
    ! [X4,X16,X10,X5] :
      ( c_member(X5,X10,c_Relation_ORange(X16,X5,X4))
    <=> ? [X6] : c_member(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X6,X10),X4) ),
    c_0_90 ).

fof(c_0_613,axiom,
    ! [X4,X16,X10,X5] :
      ( c_member(X5,X10,c_Relation_ODomain(X5,X16,X4))
    <=> ? [X6] : c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X6),X4) ),
    c_0_91 ).

fof(c_0_614,axiom,
    ! [X4,X9,X10,X5] : c_Relation_OField(X5,c_Set_Oinsert(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X10,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),c_Relation_OField(X5,X4)),
    c_0_92 ).

fof(c_0_615,axiom,
    ! [X15,X5,X13,X14,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X2,X14),hAPP(X2,X13))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),X15)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Wellfounded_Omlex__prod(X5,X2,X15)) ) ),
    c_0_93 ).

fof(c_0_616,axiom,
    ! [X9,X10,X8,X5,X30,X16] : c_Product__Type_Ointernal__split(X16,X30,X5,X8,c_Product__Type_OPair(X16,X30,X10,X9)) = hAPP(hAPP(X8,X10),X9),
    c_0_94 ).

fof(c_0_617,axiom,
    ! [X9,X10,X29,X5,X30,X16] : c_Product__Type_Oprod_Oprod__rec(X16,X30,X5,X29,c_Product__Type_OPair(X16,X30,X10,X9)) = hAPP(hAPP(X29,X10),X9),
    c_0_95 ).

fof(c_0_618,axiom,
    ! [X4,X12,X5] :
      ( c_Relation_Ototal__on(X5,X12,X4)
    <=> ! [X3] :
          ( c_member(X5,X3,X12)
         => ! [X32] :
              ( c_member(X5,X32,X12)
             => ( X3 != X32
               => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X32),X4)
                  | c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X32,X3),X4) ) ) ) ) ),
    c_0_96 ).

fof(c_0_619,axiom,
    ! [X12,X55,X15,X5,X16] : c_Relation_OImage(X16,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X16,X5),tc_HOL_Obool),X15,X55),X12) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X16,X5,X15,X12),c_Relation_OImage(X16,X5,X55,X12)),
    c_0_97 ).

fof(c_0_620,axiom,
    ! [X15,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X15))
     => ( X10 = X9
        | ( X10 != X9
          & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X15)) ) ) ),
    c_0_98 ).

fof(c_0_621,axiom,
    ! [X15,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X15))
    <=> ( X14 = X13
        | ( X14 != X13
          & c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Otrancl(X5,X15)) ) ) ),
    c_0_99 ).

fof(c_0_622,axiom,
    ! [X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4))
     => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Ortrancl(X5,X4)) ),
    c_0_100 ).

fof(c_0_623,axiom,
    ! [X4,X9,X16,X12,X10,X5] :
      ( c_member(X5,X10,X12)
     => ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)
       => c_member(X16,X9,c_Relation_OImage(X5,X16,X4,X12)) ) ),
    c_0_101 ).

fof(c_0_624,axiom,
    ! [X4,X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
     => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Transitive__Closure_Otrancl(X5,X4)) ),
    c_0_102 ).

fof(c_0_625,axiom,
    ! [X11,X12,X15,X5,X16] : c_Relation_OImage(X16,X5,X15,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X12,X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X16,X5,X15,X12),c_Relation_OImage(X16,X5,X15,X11)),
    c_0_103 ).

fof(c_0_626,plain,
    ! [X11,X14,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,X11))
    <=> ( ( c_member(X5,X14,X11)
         => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11) )
        & ( ~ c_member(X5,X14,X11)
         => ( ( c_member(X5,X14,X12)
             => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X11) )
            & ( ~ c_member(X5,X14,X12)
             => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_627,plain,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
    <=> ! [X65] :
          ( ? [X3] : c_member(X5,X3,X65)
         => ? [X3] :
              ( c_member(X5,X3,X65)
              & ! [X6] :
                  ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X3),X4)
                 => ~ c_member(X5,X6,X65) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_628,axiom,
    ! [X13,X14,X15,X16,X5] :
      ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X5,X16,X15),X14),X13))
    <=> c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X14,X13),X15) ),
    c_0_106 ).

fof(c_0_629,axiom,
    ! [X81] :
      ( X81 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
     => c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X81,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict) ),
    c_0_107 ).

fof(c_0_630,axiom,
    ! [X12,X85,X4,X86,X16,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X86,X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X85,X12)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),c_Relation_OImage(X5,X16,X86,X85),c_Relation_OImage(X5,X16,X4,X12)) ) ),
    c_0_108 ).

fof(c_0_631,axiom,
    ! [X4,X9,X10,X5,X16] : c_Relation_ORange(X16,X5,c_Set_Oinsert(tc_prod(X16,X5),c_Product__Type_OPair(X16,X5,X10,X9),X4)) = c_Set_Oinsert(X5,X9,c_Relation_ORange(X16,X5,X4)),
    c_0_109 ).

fof(c_0_632,axiom,
    ! [X4,X9,X10,X16,X5] : c_Relation_ODomain(X5,X16,c_Set_Oinsert(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)) = c_Set_Oinsert(X5,X10,c_Relation_ODomain(X5,X16,X4)),
    c_0_110 ).

fof(c_0_633,axiom,
    ! [X81] : c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X81,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__weak),
    c_0_111 ).

fof(c_0_634,plain,
    ! [X11,X14,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,X11))
    <=> ( ( c_member(X5,X14,X12)
         => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X11) )
        & ( ~ c_member(X5,X14,X12)
         => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_635,axiom,
    ! [X11,X14,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X11)
     => ( c_member(X5,X14,X12)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,X11)) ) ),
    c_0_113 ).

fof(c_0_636,axiom,
    ! [X11,X12,X16,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Relation_ODomain(X5,X16,X12),c_Relation_ODomain(X5,X16,X11)),c_Relation_ODomain(X5,X16,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X12,X11))),
    c_0_114 ).

fof(c_0_637,axiom,
    ! [X11,X12,X16,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Relation_ORange(X16,X5,X12),c_Relation_ORange(X16,X5,X11)),c_Relation_ORange(X16,X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X16,X5),tc_HOL_Obool),X12,X11))),
    c_0_115 ).

fof(c_0_638,axiom,
    ! [X81,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OImage(X5,X5,X4,X81),X81)
     => c_Relation_OImage(X5,X5,c_Transitive__Closure_Ortrancl(X5,X4),X81) = X81 ),
    c_0_116 ).

fof(c_0_639,axiom,
    ! [X9,X4,X10,X5] :
      ( c_member(X5,X10,c_Wellfounded_Oacc(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X10),c_Transitive__Closure_Ortrancl(X5,X4))
       => c_member(X5,X9,c_Wellfounded_Oacc(X5,X4)) ) ),
    c_0_117 ).

fof(c_0_640,axiom,
    ! [X4,X10,X9,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X9,X10),c_Transitive__Closure_Ortrancl(X5,X4))
     => ( c_member(X5,X10,c_Wellfounded_Oacc(X5,X4))
       => c_member(X5,X9,c_Wellfounded_Oacc(X5,X4)) ) ),
    c_0_118 ).

fof(c_0_641,axiom,
    ! [X10,X4,X12,X5] :
      ( c_Equiv__Relations_Oequiv(X5,X12,X4)
     => ( c_member(X5,X10,X12)
       => c_member(X5,X10,c_Relation_OImage(X5,X5,X4,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))) ) ),
    c_0_119 ).

fof(c_0_642,axiom,
    ! [X10,X4,X9,X5] :
      ( c_member(X5,X9,c_Wellfounded_Oacc(X5,X4))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),X4)
       => c_member(X5,X10,c_Wellfounded_Oacc(X5,X4)) ) ),
    c_0_120 ).

fof(c_0_643,axiom,
    ! [X4,X10,X5] :
      ( c_member(X5,X10,c_Wellfounded_Oacc(X5,X4))
    <=> ! [X3] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X10),X4)
         => c_member(X5,X3,c_Wellfounded_Oacc(X5,X4)) ) ),
    c_0_121 ).

fof(c_0_644,plain,
    ! [X13,X15,X14,X5] :
      ( ~ c_member(X5,X14,c_Relation_ODomain(X5,X5,X15))
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Transitive__Closure_Ortrancl(X5,X15))
      <=> X14 = X13 ) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_645,axiom,
    ! [X4,X5] :
      ( ! [X3,X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X4)
         => ! [X7] :
              ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X4)
             => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X7),X4) ) )
     => c_Relation_Otrans(X5,X4) ),
    c_0_123 ).

fof(c_0_646,axiom,
    ! [X4,X5] :
      ( c_Nitpick_Orefl_H(X5,X4)
    <=> ! [X3] : c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),X4) ),
    c_0_124 ).

fof(c_0_647,axiom,
    ! [X2,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),hAPP(c_Wellfounded_Omeasure(X5),X2))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X14),hAPP(X2,X13)) ),
    c_0_125 ).

fof(c_0_648,axiom,
    ! [X4,X9,X10,X16,X5] :
      ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)
     => c_member(X5,X10,c_Relation_ODomain(X5,X16,X4)) ),
    c_0_126 ).

fof(c_0_649,axiom,
    ! [X4,X9,X10,X16,X5] :
      ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X10,X9),X4)
     => c_member(X16,X9,c_Relation_ORange(X5,X16,X4)) ),
    c_0_127 ).

fof(c_0_650,axiom,
    ! [X4,X16,X5] :
      ( ! [X3,X6] :
          ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X3,X6),X4)
         => ! [X7] :
              ( c_member(tc_prod(X5,X16),c_Product__Type_OPair(X5,X16,X3,X7),X4)
             => X6 = X7 ) )
     => c_Relation_Osingle__valued(X5,X16,X4) ),
    c_0_128 ).

fof(c_0_651,axiom,
    ! [X13,X14,X4,X12,X5] :
      ( c_Relation_Orefl__on(X5,X12,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),X4)
       => c_member(X5,X13,X12) ) ),
    c_0_129 ).

fof(c_0_652,axiom,
    ! [X13,X14,X4,X12,X5] :
      ( c_Relation_Orefl__on(X5,X12,X4)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),X4)
       => c_member(X5,X14,X12) ) ),
    c_0_130 ).

fof(c_0_653,axiom,
    ! [X55,X15,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X15),c_Transitive__Closure_Ortrancl(X5,X55)),c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55))),
    c_0_131 ).

fof(c_0_654,axiom,
    ! [X12,X13,X14,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Relation_OId__on(X5,X12))
    <=> ( X14 = X13
        & c_member(X5,X14,X12) ) ),
    c_0_132 ).

fof(c_0_655,axiom,
    ! [X68,X69] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X69,X68),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X69,X68) ),
    c_0_133 ).

fof(c_0_656,axiom,
    ! [X68,X69] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X69,X68),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68) ),
    c_0_134 ).

fof(c_0_657,plain,
    ! [X4,X5] :
      ( c_Wellfounded_Oacyclic(X5,X4)
    <=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),c_Transitive__Closure_Otrancl(X5,X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_658,axiom,
    ! [X12,X15,X5] :
      ( c_Wellfounded_Owf(X5,X15)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Relation_OImage(X5,X5,X15,X12))
       => X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ) ),
    c_0_136 ).

fof(c_0_659,axiom,
    ! [X13,X14] :
      ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X14,X13),c_Wellfounded_Oless__than)
    <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X13) ),
    c_0_137 ).

fof(c_0_660,plain,
    ! [X10,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_661,plain,
    ! [X10,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_662,plain,
    ! [X4,X5] :
      ( c_Relation_Oirrefl(X5,X4)
    <=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_663,axiom,
    ! [X9,X10,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Relation_OId(X5))
    <=> X10 = X9 ),
    c_0_141 ).

fof(c_0_664,axiom,
    ! [X4,X14,X5] :
      ( ! [X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X14),X4)
         => c_member(X5,X6,c_Wellfounded_Oacc(X5,X4)) )
     => c_member(X5,X14,c_Wellfounded_Oacc(X5,X4)) ),
    c_0_142 ).

fof(c_0_665,plain,
    ! [X15,X14,X5] :
      ( ~ c_member(X5,X14,c_Wellfounded_Oacc(X5,X15))
     => ~ ! [X7] :
            ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X7,X14),X15)
           => c_member(X5,X7,c_Wellfounded_Oacc(X5,X15)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_666,axiom,
    ! [X15,X5,X13,X14,X2] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X14),hAPP(X2,X13))
     => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X14,X13),c_Wellfounded_Omlex__prod(X5,X2,X15)) ),
    c_0_144 ).

fof(c_0_667,axiom,
    ! [X70,X8,X9,X10,X5] :
      ( c_Set_Oinsert(X5,X10,c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = c_Set_Oinsert(X5,X8,c_Set_Oinsert(X5,X70,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
    <=> ( ( X10 = X8
          & X9 = X70 )
        | ( X10 = X70
          & X9 = X8 ) ) ),
    c_0_145 ).

fof(c_0_668,axiom,
    ! [X11,X10,X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,X11)) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),X11),
    c_0_146 ).

fof(c_0_669,axiom,
    ! [X55,X15,X14,X5] :
      ( ( c_member(tc_prod(X5,X5),X14,c_Transitive__Closure_Ortrancl(X5,X15))
        | c_member(tc_prod(X5,X5),X14,c_Transitive__Closure_Ortrancl(X5,X55)) )
     => c_member(tc_prod(X5,X5),X14,c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55))) ),
    c_0_147 ).

fof(c_0_670,axiom,
    ! [X25,X26,X27,X28,X16,X5] :
      ( c_Product__Type_OPair(X5,X16,X28,X27) = c_Product__Type_OPair(X5,X16,X26,X25)
     => ~ ( X28 = X26
         => X27 != X25 ) ),
    c_0_148 ).

fof(c_0_671,axiom,
    ! [X23,X24,X9,X10,X16,X5] :
      ( c_Product__Type_OPair(X5,X16,X10,X9) = c_Product__Type_OPair(X5,X16,X24,X23)
    <=> ( X10 = X24
        & X9 = X23 ) ),
    c_0_149 ).

fof(c_0_672,axiom,
    ! [X10,X4,X12,X5] :
      ( c_Relation_Orefl__on(X5,X12,X4)
     => ( c_member(X5,X10,X12)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),X4) ) ),
    c_0_150 ).

fof(c_0_673,plain,
    ! [X4,X5] :
      ( ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),c_Transitive__Closure_Otrancl(X5,X4))
     => c_Wellfounded_Oacyclic(X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_674,axiom,
    ! [X12,X10,X5] :
      ( c_member(X5,X10,X12)
     => c_Set_Oinsert(X5,X10,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))) = X12 ),
    c_0_152 ).

fof(c_0_675,axiom,
    ! [X4,X5] :
      ( ! [X3,X6] :
          ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X6),X4)
         => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X3),X4)
           => X3 = X6 ) )
     => c_Relation_Oantisym(X5,X4) ),
    c_0_153 ).

fof(c_0_676,axiom,
    ! [X12,X5,X9,X10] :
      ( X10 = X9
     => ( c_member(X5,X10,X12)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X9),c_Relation_OId__on(X5,X12)) ) ),
    c_0_154 ).

fof(c_0_677,axiom,
    ! [X12,X10,X5] : c_Set_Oinsert(X5,X10,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))) = c_Set_Oinsert(X5,X10,X12),
    c_0_155 ).

fof(c_0_678,axiom,
    ! [X55,X15,X5] : c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X15),c_Transitive__Closure_Ortrancl(X5,X55))) = c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55)),
    c_0_156 ).

fof(c_0_679,axiom,
    ! [X31,X11,X4,X12,X5] :
      ( c_Relation_Orefl__on(X5,X12,X4)
     => ( c_Relation_Orefl__on(X5,X11,X31)
       => c_Relation_Orefl__on(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)) ) ),
    c_0_157 ).

fof(c_0_680,axiom,
    ! [X68,X69,X79] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X69)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X68)
       => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X69,X79),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X68,X79))
        <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68) ) ) ),
    c_0_158 ).

fof(c_0_681,axiom,
    ! [X68,X69,X79] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X69)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X68)
       => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X69,X79),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X68,X79))
        <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X69,X68) ) ) ),
    c_0_159 ).

fof(c_0_682,axiom,
    ! [X12,X8,X5] :
      ( c_member(tc_prod(X5,X5),X8,c_Relation_OId__on(X5,X12))
     => ~ ! [X3] :
            ( c_member(X5,X3,X12)
           => X8 != c_Product__Type_OPair(X5,X5,X3,X3) ) ),
    c_0_160 ).

fof(c_0_683,axiom,
    ! [X11,X66,X54,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X54)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X66,X11)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X54,X66)) ) ),
    c_0_161 ).

fof(c_0_684,axiom,
    ! [X66,X11,X54,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X54)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X66)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X54,X66)) ) ),
    c_0_162 ).

fof(c_0_685,axiom,
    ! [X11,X10,X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,X11)) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),
    c_0_163 ).

fof(c_0_686,axiom,
    ! [X54,X11,X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X54) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X54),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,X54)),
    c_0_164 ).

fof(c_0_687,axiom,
    ! [X11,X12,X16,X5] : c_Relation_ODomain(X5,X16,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X12,X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_ODomain(X5,X16,X12),c_Relation_ODomain(X5,X16,X11)),
    c_0_165 ).

fof(c_0_688,axiom,
    ! [X11,X12,X5,X16] : c_Relation_ORange(X16,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X16,X5),tc_HOL_Obool),X12,X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_ORange(X16,X5,X12),c_Relation_ORange(X16,X5,X11)),
    c_0_166 ).

fof(c_0_689,axiom,
    ! [X4,X10,X5] : c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),c_Transitive__Closure_Ortrancl(X5,X4)),
    c_0_167 ).

fof(c_0_690,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),X54)
    <=> c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X54)) ),
    c_0_168 ).

fof(c_0_691,axiom,
    ! [X14,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
     => ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
        | X12 = c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) ) ),
    c_0_169 ).

fof(c_0_692,plain,
    ! [X14,X11,X12,X5] :
      ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X14))
     => ( ~ hBOOL(hAPP(X12,X14))
       => hBOOL(hAPP(X11,X14)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_693,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Owell__order__on(X5,X12,X4)
    <=> ( c_Order__Relation_Olinear__order__on(X5,X12,X4)
        & c_Wellfounded_Owf(X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) ) ),
    c_0_171 ).

fof(c_0_694,axiom,
    ! [X10,X5] : c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X10,X10),c_Relation_OId(X5)),
    c_0_172 ).

fof(c_0_695,axiom,
    ! [X57,X16,X58,X5] :
      ( c_Wellfounded_Owf(X5,X58)
     => ( c_Wellfounded_Owf(X16,X57)
       => c_Wellfounded_Owf(tc_prod(X5,X16),c_Wellfounded_Olex__prod(X5,X16,X58,X57)) ) ),
    c_0_173 ).

fof(c_0_696,axiom,
    ! [X33,X16,X34,X5] :
      ( c_Relation_Otrans(X5,X34)
     => ( c_Relation_Otrans(X16,X33)
       => c_Relation_Otrans(tc_prod(X5,X16),c_Wellfounded_Olex__prod(X5,X16,X34,X33)) ) ),
    c_0_174 ).

fof(c_0_697,axiom,
    ! [X4,X12,X5] :
      ( c_Relation_Ototal__on(X5,X12,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5)))
    <=> c_Relation_Ototal__on(X5,X12,X4) ),
    c_0_175 ).

fof(c_0_698,axiom,
    ! [X2,X16,X18,X5] :
      ( c_FunDef_Oreduction__pair(X5,X18)
     => c_FunDef_Oreduction__pair(X16,c_FunDef_Orp__inv__image(X5,X16,X18,X2)) ),
    c_0_176 ).

fof(c_0_699,axiom,
    ! [X31,X4,X16,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X4,X31)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_ODomain(X5,X16,X4),c_Relation_ODomain(X5,X16,X31)) ),
    c_0_177 ).

fof(c_0_700,axiom,
    ! [X71,X72,X76] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X76,X72)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X76,X71)
       => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X72,X76),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X71,X76)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X72,X71) ) ),
    c_0_178 ).

fof(c_0_701,axiom,
    ! [X31,X4,X40,X5] :
      ( c_member(tc_prod(X5,X5),X40,c_Transitive__Closure_Otrancl(X5,X4))
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
       => c_member(tc_prod(X5,X5),X40,c_Transitive__Closure_Otrancl(X5,X31)) ) ),
    c_0_179 ).

fof(c_0_702,axiom,
    ! [X55,X15,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,X55)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X55,c_Transitive__Closure_Ortrancl(X5,X15))
       => c_Transitive__Closure_Ortrancl(X5,X55) = c_Transitive__Closure_Ortrancl(X5,X15) ) ),
    c_0_180 ).

fof(c_0_703,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X54,X12)) = X12 ) ),
    c_0_181 ).

fof(c_0_704,axiom,
    ! [X11,X54,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X54)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X54) ) ),
    c_0_182 ).

fof(c_0_705,axiom,
    ! [X18,X68,X69] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68)
       => hBOOL(hAPP(hAPP(X18,X68),X69)) )
     => ( ( X69 = X68
         => hBOOL(hAPP(hAPP(X18,X68),X69)) )
       => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X68,X69)
           => hBOOL(hAPP(hAPP(X18,X68),X69)) )
         => hBOOL(hAPP(hAPP(X18,X68),X69)) ) ) ),
    c_0_183 ).

fof(c_0_706,axiom,
    ! [X54,X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X54) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X54)),
    c_0_184 ).

fof(c_0_707,axiom,
    ! [X54,X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X54)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X54)),
    c_0_185 ).

fof(c_0_708,axiom,
    ! [X4,X5] :
      ( c_Relation_Oantisym(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5)))
    <=> c_Relation_Oantisym(X5,X4) ),
    c_0_186 ).

fof(c_0_709,plain,
    ! [X12,X14,X5] :
      ( ~ c_member(X5,X14,X12)
     => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_710,axiom,
    ! [X67,X27,X61,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X61)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X67)
         => c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27),c_Lattices_Osemilattice__sup__class_Osup(X5,X61,X67)) ) ) ),
    c_0_188 ).

fof(c_0_711,plain,
    ! [X12,X11,X14,X5] :
      ( ( c_member(X5,X14,X11)
       => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),X11) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11) )
      & ( ~ c_member(X5,X14,X11)
       => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),X11) = c_Set_Oinsert(X5,X14,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_712,axiom,
    ! [X40,X5] :
      ( c_member(tc_prod(X5,X5),X40,c_Relation_OId(X5))
     => ~ ! [X3] : X40 != c_Product__Type_OPair(X5,X5,X3,X3) ),
    c_0_190 ).

fof(c_0_713,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11))
    <=> ( c_member(X5,X8,X12)
        | c_member(X5,X8,X11) ) ),
    c_0_191 ).

fof(c_0_714,plain,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11))
     => ( ~ c_member(X5,X8,X12)
       => c_member(X5,X8,X11) ) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_715,axiom,
    ! [X61,X27,X28] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X27)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X61,X28)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X28,X61),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X27,X61)) ) ),
    c_0_193 ).

fof(c_0_716,axiom,
    ! [X75,X71,X72] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71)
     => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X75)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X71),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X72)) ) ),
    c_0_194 ).

fof(c_0_717,axiom,
    ! [X31,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Transitive__Closure_Ortrancl(X5,X31))
     => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X4),c_Transitive__Closure_Ortrancl(X5,X31)) ),
    c_0_195 ).

fof(c_0_718,plain,
    ! [X11,X12,X14,X5] :
      ( ~ c_member(X5,X14,X12)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X14,X11))
      <=> c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_719,axiom,
    ! [X10,X9,X5] :
      ( c_member(X5,X9,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
    <=> X9 = X10 ),
    c_0_197 ).

fof(c_0_720,axiom,
    ! [X10,X9,X5] :
      ( c_member(X5,X9,c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))))
     => X9 = X10 ),
    c_0_198 ).

fof(c_0_721,axiom,
    ! [X14,X12,X13,X5] :
      ( hBOOL(hAPP(c_Set_Oinsert(X5,X13,X12),X14))
    <=> ( X13 = X14
        | hBOOL(hAPP(X12,X14)) ) ),
    c_0_199 ).

fof(c_0_722,axiom,
    ! [X10,X66,X54,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X54,X66)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X10,X54),c_Set_Oinsert(X5,X10,X66)) ),
    c_0_200 ).

fof(c_0_723,plain,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11))
     => ~ c_member(X5,X8,X11) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_724,plain,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11))
    <=> ( c_member(X5,X8,X12)
        & ~ c_member(X5,X8,X11) ) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_725,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11))
     => ~ ( c_member(X5,X8,X12)
         => c_member(X5,X8,X11) ) ),
    c_0_203 ).

fof(c_0_726,axiom,
    ! [X56,X16,X5,X13,X14,X18] :
      ( hBOOL(hAPP(hAPP(X18,X14),X13))
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X16,tc_HOL_Obool)),X18,X56)
       => hBOOL(hAPP(hAPP(X56,X14),X13)) ) ),
    c_0_204 ).

fof(c_0_727,axiom,
    ! [X13,X14,X56,X18,X16,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X16,tc_HOL_Obool)),X18,X56)
     => ( hBOOL(hAPP(hAPP(X18,X14),X13))
       => hBOOL(hAPP(hAPP(X56,X14),X13)) ) ),
    c_0_205 ).

fof(c_0_728,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Olinear__order__on(X5,X12,X4)
     => c_Order__Relation_Ostrict__linear__order__on(X5,X12,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) ),
    c_0_206 ).

fof(c_0_729,axiom,
    ! [X31,X4,X5] : c_Relation_OField(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_OField(X5,X4),c_Relation_OField(X5,X31)),
    c_0_207 ).

fof(c_0_730,axiom,
    ! [X11,X12,X14,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),X11)
    <=> ( c_member(X5,X14,X11)
        & c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ) ),
    c_0_208 ).

fof(c_0_731,axiom,
    ! [X54,X11,X10,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X10,X11),X54) = c_Set_Oinsert(X5,X10,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X54)),
    c_0_209 ).

fof(c_0_732,axiom,
    ! [X11,X10,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X10,X11)) = c_Set_Oinsert(X5,X10,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)),
    c_0_210 ).

fof(c_0_733,axiom,
    ! [X31,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X4),c_Transitive__Closure_Ortrancl(X5,X31)) ),
    c_0_211 ).

fof(c_0_734,axiom,
    ! [X12,X5,X14,X11] :
      ( hBOOL(hAPP(X11,X14))
     => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X14)) ),
    c_0_212 ).

fof(c_0_735,axiom,
    ! [X11,X5,X14,X12] :
      ( hBOOL(hAPP(X12,X14))
     => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X14)) ),
    c_0_213 ).

fof(c_0_736,plain,
    ! [X5,X12,X14,X11] :
      ( ( ~ hBOOL(hAPP(X11,X14))
       => hBOOL(hAPP(X12,X14)) )
     => hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_737,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11))
     => c_member(X5,X8,X12) ),
    c_0_215 ).

fof(c_0_738,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,X12)) = X11 ),
    c_0_216 ).

fof(c_0_739,plain,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,X12)
     => ( ~ c_member(X5,X8,X11)
       => c_member(X5,X8,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_740,axiom,
    ! [X12,X11,X14,X5] :
      ( c_member(X5,X14,X11)
     => c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X14,X12),X11) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11) ),
    c_0_218 ).

fof(c_0_741,axiom,
    ! [X31,X4,X16,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X16),tc_HOL_Obool),X4,X31)
     => ( c_Relation_Osingle__valued(X5,X16,X31)
       => c_Relation_Osingle__valued(X5,X16,X4) ) ),
    c_0_219 ).

fof(c_0_742,axiom,
    ! [X75,X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X71),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X72)) ),
    c_0_220 ).

fof(c_0_743,axiom,
    ! [X75,X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X72,X75),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X71,X75)) ),
    c_0_221 ).

fof(c_0_744,axiom,
    ! [X12,X10,X5] : c_Set_Oinsert(X5,X10,X12) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),X12),
    c_0_222 ).

fof(c_0_745,axiom,
    ! [X39,X13,X14,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X14,X13),X39)
      <=> ( c_Orderings_Oord__class_Oless__eq(X5,X14,X39)
          & c_Orderings_Oord__class_Oless__eq(X5,X13,X39) ) ) ),
    c_0_223 ).

fof(c_0_746,axiom,
    ! [X27,X59,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X59)
         => c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27),X59) ) ) ),
    c_0_224 ).

fof(c_0_747,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X62,X59)
         => c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62),X59) ) ) ),
    c_0_225 ).

fof(c_0_748,axiom,
    ! [X9,X10,X5] :
      ( c_Set_Oinsert(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = c_Set_Oinsert(X5,X9,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))
     => X10 = X9 ),
    c_0_226 ).

fof(c_0_749,axiom,
    ! [X68,X69,X79] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X69)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X68)
       => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X69,X79) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X68,X79)
        <=> X69 = X68 ) ) ),
    c_0_227 ).

fof(c_0_750,axiom,
    ! [X31,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Relation_OField(X5,X4),c_Relation_OField(X5,X31)) ),
    c_0_228 ).

fof(c_0_751,axiom,
    ! [X33,X34,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X34,X33)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Wellfounded_Oacc(X5,X33),c_Wellfounded_Oacc(X5,X34)) ),
    c_0_229 ).

fof(c_0_752,axiom,
    c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))),
    c_0_230 ).

fof(c_0_753,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60),X62) = c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62)) ),
    c_0_231 ).

fof(c_0_754,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60),X62) = c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62)) ),
    c_0_232 ).

fof(c_0_755,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27),X61) = c_Lattices_Osemilattice__sup__class_Osup(X5,X28,c_Lattices_Osemilattice__sup__class_Osup(X5,X27,X61)) ),
    c_0_233 ).

fof(c_0_756,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X60,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X62)) ),
    c_0_234 ).

fof(c_0_757,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X62)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X60,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X62)) ),
    c_0_235 ).

fof(c_0_758,axiom,
    ! [X61,X28,X27,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X27,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X61)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X28,c_Lattices_Osemilattice__sup__class_Osup(X5,X27,X61)) ),
    c_0_236 ).

fof(c_0_759,axiom,
    ! [X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => ( c_Relation_Oantisym(X5,X4)
       => c_Relation_Otrans(X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) ) ),
    c_0_237 ).

fof(c_0_760,axiom,
    ! [X15,X5,X16] : c_Relation_OImage(X16,X5,X15,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    c_0_238 ).

fof(c_0_761,axiom,
    ! [X12,X13,X14,X5] : c_Set_Oinsert(X5,X14,c_Set_Oinsert(X5,X13,X12)) = c_Set_Oinsert(X5,X13,c_Set_Oinsert(X5,X14,X12)),
    c_0_239 ).

fof(c_0_762,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X54) ) ),
    c_0_240 ).

fof(c_0_763,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X54) ) ),
    c_0_241 ).

fof(c_0_764,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X54) ) ),
    c_0_242 ).

fof(c_0_765,axiom,
    ! [X54,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X54)
       => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X54) ) ),
    c_0_243 ).

fof(c_0_766,axiom,
    ! [X70,X8,X9,X10,X5] :
      ( class_Groups_Oordered__ab__group__add(X5)
     => ( c_Groups_Ominus__class_Ominus(X5,X10,X9) = c_Groups_Ominus__class_Ominus(X5,X8,X70)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X10,X9)
        <=> c_Orderings_Oord__class_Oless__eq(X5,X8,X70) ) ) ),
    c_0_244 ).

fof(c_0_767,axiom,
    ! [X70,X8,X9,X10,X5] :
      ( class_Groups_Oordered__ab__group__add(X5)
     => ( c_Groups_Ominus__class_Ominus(X5,X10,X9) = c_Groups_Ominus__class_Ominus(X5,X8,X70)
       => ( c_Orderings_Oord__class_Oless(X5,X10,X9)
        <=> c_Orderings_Oord__class_Oless(X5,X8,X70) ) ) ),
    c_0_245 ).

fof(c_0_768,plain,
    ! [X59,X27,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27),X59)
       => ~ ( c_Orderings_Oord__class_Oless__eq(X5,X28,X59)
           => ~ c_Orderings_Oord__class_Oless__eq(X5,X27,X59) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_769,axiom,
    ! [X76,X77,X78] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X78,X77),X76) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X78,X76),X77),
    c_0_247 ).

fof(c_0_770,axiom,
    ! [X12,X9,X10,X5] :
      ( c_member(X5,X10,c_Set_Oinsert(X5,X9,X12))
    <=> ( X10 = X9
        | c_member(X5,X10,X12) ) ),
    c_0_248 ).

fof(c_0_771,axiom,
    ! [X12,X9,X10,X5] :
      ( c_member(X5,X10,c_Set_Oinsert(X5,X9,X12))
     => ( X10 != X9
       => c_member(X5,X10,X12) ) ),
    c_0_249 ).

fof(c_0_772,axiom,
    ! [X11,X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),X11) = c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),
    c_0_250 ).

fof(c_0_773,axiom,
    ! [X12,X11,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,X12),X12) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X12),
    c_0_251 ).

fof(c_0_774,axiom,
    ! [X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X11,X12)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),
    c_0_252 ).

fof(c_0_775,axiom,
    ! [X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11),
    c_0_253 ).

fof(c_0_776,axiom,
    ! [X9,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Set_Oinsert(X5,X9,X11)) ),
    c_0_254 ).

fof(c_0_777,axiom,
    ! [X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => c_Relation_Otrans(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) ),
    c_0_255 ).

fof(c_0_778,axiom,
    ! [X4,X5] : c_Relation_OField(X5,X4) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Relation_ODomain(X5,X5,X4),c_Relation_ORange(X5,X5,X4)),
    c_0_256 ).

fof(c_0_779,axiom,
    ! [X4,X5] : c_Transitive__Closure_Ortrancl(X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) = c_Transitive__Closure_Ortrancl(X5,X4),
    c_0_257 ).

fof(c_0_780,axiom,
    ! [X15,X5] : c_Transitive__Closure_Ortrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X15,c_Relation_OId(X5))) = c_Transitive__Closure_Ortrancl(X5,X15),
    c_0_258 ).

fof(c_0_781,axiom,
    ! [X4,X5] : c_Transitive__Closure_Otrancl(X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))) = c_Transitive__Closure_Ortrancl(X5,X4),
    c_0_259 ).

fof(c_0_782,plain,
    ! [X1,X2,X5,X16] :
      ( class_Orderings_Oord(X16)
     => ( c_Orderings_Oord__class_Oless(tc_fun(X5,X16),X2,X1)
      <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X2,X1)
          & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X1,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_783,axiom,
    ! [X12,X11,X8,X5] :
      ( c_member(X5,X8,X11)
     => c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)) ),
    c_0_261 ).

fof(c_0_784,axiom,
    ! [X11,X12,X8,X5] :
      ( c_member(X5,X8,X12)
     => c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)) ),
    c_0_262 ).

fof(c_0_785,plain,
    ! [X12,X11,X8,X5] :
      ( ( ~ c_member(X5,X8,X11)
       => c_member(X5,X8,X12) )
     => c_member(X5,X8,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_786,axiom,
    ! [X14,X11,X12,X16,X5] :
      ( class_Groups_Ominus(X5)
     => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X16,X5),X12,X11),X14) = c_Groups_Ominus__class_Ominus(X5,hAPP(X12,X14),hAPP(X11,X14)) ),
    c_0_264 ).

fof(c_0_787,axiom,
    ! [X14,X1,X2,X16,X5] :
      ( class_Lattices_Olattice(X5)
     => hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,X5),X2,X1),X14) = c_Lattices_Osemilattice__sup__class_Osup(X5,hAPP(X2,X14),hAPP(X1,X14)) ),
    c_0_265 ).

fof(c_0_788,plain,
    ! [X11,X12,X14,X5] :
      ( ~ c_member(X5,X14,X12)
     => ( ~ c_member(X5,X14,X11)
       => ( c_Set_Oinsert(X5,X14,X12) = c_Set_Oinsert(X5,X14,X11)
        <=> X12 = X11 ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_789,axiom,
    ! [X4,X5] : c_Relation_Oirrefl(X5,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,c_Relation_OId(X5))),
    c_0_267 ).

fof(c_0_790,axiom,
    ! [X2,X16,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Owf(X16,hAPP(c_Relation_Oinv__image(X5,X16,X4),X2)) ),
    c_0_268 ).

fof(c_0_791,axiom,
    ! [X2,X16,X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => c_Relation_Otrans(X16,hAPP(c_Relation_Oinv__image(X5,X16,X4),X2)) ),
    c_0_269 ).

fof(c_0_792,axiom,
    ! [X8,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_member(X5,X8,X12)
       => c_member(X5,X8,X11) ) ),
    c_0_270 ).

fof(c_0_793,axiom,
    ! [X14,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_member(X5,X14,X12)
       => c_member(X5,X14,X11) ) ),
    c_0_271 ).

fof(c_0_794,axiom,
    ! [X11,X12,X14,X5] :
      ( c_member(X5,X14,X12)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
       => c_member(X5,X14,X11) ) ),
    c_0_272 ).

fof(c_0_795,axiom,
    ! [X14,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_member(X5,X14,X12)
       => c_member(X5,X14,X11) ) ),
    c_0_273 ).

fof(c_0_796,axiom,
    ! [X8,X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_member(X5,X8,X12)
       => c_member(X5,X8,X11) ) ),
    c_0_274 ).

fof(c_0_797,axiom,
    ! [X5] : c_Order__Relation_Owell__order__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    c_0_275 ).

fof(c_0_798,axiom,
    ! [X5] : c_Order__Relation_Olinear__order__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    c_0_276 ).

fof(c_0_799,axiom,
    ! [X5] : c_Relation_Orefl__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    c_0_277 ).

fof(c_0_800,axiom,
    ! [X5] : c_Order__Relation_Opreorder__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    c_0_278 ).

fof(c_0_801,axiom,
    ! [X5] : c_Order__Relation_Opartial__order__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    c_0_279 ).

fof(c_0_802,axiom,
    ! [X11,X5,X12] :
      ( X12 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))
     => c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X12,X11) ),
    c_0_280 ).

fof(c_0_803,axiom,
    ! [X27,X28,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X28)
       => c_Orderings_Oord__class_Oless(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) ) ),
    c_0_281 ).

fof(c_0_804,axiom,
    ! [X28,X27,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X27)
       => c_Orderings_Oord__class_Oless(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) ) ),
    c_0_282 ).

fof(c_0_805,axiom,
    ! [X27,X28,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X28)
       => c_Orderings_Oord__class_Oless__eq(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) ) ),
    c_0_283 ).

fof(c_0_806,axiom,
    ! [X28,X27,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X27)
       => c_Orderings_Oord__class_Oless__eq(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) ) ),
    c_0_284 ).

fof(c_0_807,axiom,
    ! [X12,X5] : c_Relation_OImage(X5,X5,c_Relation_OId(X5),X12) = X12,
    c_0_285 ).

fof(c_0_808,axiom,
    ! [X5] : c_Transitive__Closure_Otrancl(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool)),
    c_0_286 ).

fof(c_0_809,axiom,
    ! [X9,X11,X10,X5] :
      ( c_member(X5,X10,X11)
     => c_member(X5,X10,c_Set_Oinsert(X5,X9,X11)) ),
    c_0_287 ).

fof(c_0_810,plain,
    ! [X9,X11,X10,X5] :
      ( ( ~ c_member(X5,X10,X11)
       => X10 = X9 )
     => c_member(X5,X10,c_Set_Oinsert(X5,X9,X11)) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_811,axiom,
    ! [X5,X11,X12] :
      ( X12 = X11
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
        & c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12) ) ),
    c_0_289 ).

fof(c_0_812,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12)
       => X12 = X11 ) ),
    c_0_290 ).

fof(c_0_813,axiom,
    c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than),
    c_0_291 ).

fof(c_0_814,axiom,
    ! [X71,X78] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X71)
     => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X71,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X71,X78)) = X78 ),
    c_0_292 ).

fof(c_0_815,axiom,
    ! [X71,X76,X77] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X77,X76)
     => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X77,X71),X76) ),
    c_0_293 ).

fof(c_0_816,axiom,
    ! [X14,X1,X2,X5,X16] :
      ( class_Orderings_Oord(X16)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X2,X1)
       => c_Orderings_Oord__class_Oless__eq(X16,hAPP(X2,X14),hAPP(X1,X14)) ) ),
    c_0_294 ).

fof(c_0_817,axiom,
    ! [X14,X1,X2,X5,X16] :
      ( class_Orderings_Oord(X16)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X16),X2,X1)
       => c_Orderings_Oord__class_Oless__eq(X16,hAPP(X2,X14),hAPP(X1,X14)) ) ),
    c_0_295 ).

fof(c_0_818,axiom,
    ! [X4,X31,X5] :
      ( c_Wellfounded_Oacyclic(X5,X31)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
       => c_Wellfounded_Oacyclic(X5,X4) ) ),
    c_0_296 ).

fof(c_0_819,axiom,
    ! [X31,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X4,X31)
     => ( c_Relation_Oantisym(X5,X31)
       => c_Relation_Oantisym(X5,X4) ) ),
    c_0_297 ).

fof(c_0_820,axiom,
    ! [X40,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),X40,X4)
       => c_Wellfounded_Owf(X5,X40) ) ),
    c_0_298 ).

fof(c_0_821,axiom,
    ! [X5,X16] : c_Relation_ORange(X16,X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X16,X5),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    c_0_299 ).

fof(c_0_822,axiom,
    ! [X16,X5] : c_Relation_ODomain(X5,X16,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X16),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    c_0_300 ).

fof(c_0_823,axiom,
    ! [X40,X4,X5] :
      ( c_Wellfounded_OwfP(X5,X4)
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X5,tc_HOL_Obool)),X40,X4)
       => c_Wellfounded_OwfP(X5,X40) ) ),
    c_0_301 ).

fof(c_0_824,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless(X5,X62,X60)
         => c_Orderings_Oord__class_Oless(X5,X62,X59) ) ) ),
    c_0_302 ).

fof(c_0_825,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless(X5,X60,X62)
         => c_Orderings_Oord__class_Oless(X5,X59,X62) ) ) ),
    c_0_303 ).

fof(c_0_826,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X62,X60)
         => c_Orderings_Oord__class_Oless(X5,X62,X59) ) ) ),
    c_0_304 ).

fof(c_0_827,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X62)
         => c_Orderings_Oord__class_Oless(X5,X59,X62) ) ) ),
    c_0_305 ).

fof(c_0_828,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless(X5,X62,X60)
         => c_Orderings_Oord__class_Oless(X5,X62,X59) ) ) ),
    c_0_306 ).

fof(c_0_829,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless(X5,X60,X62)
         => c_Orderings_Oord__class_Oless(X5,X59,X62) ) ) ),
    c_0_307 ).

fof(c_0_830,axiom,
    ! [X62,X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X62,X60)
         => c_Orderings_Oord__class_Oless__eq(X5,X62,X59) ) ) ),
    c_0_308 ).

fof(c_0_831,axiom,
    ! [X62,X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X62)
         => c_Orderings_Oord__class_Oless__eq(X5,X59,X62) ) ) ),
    c_0_309 ).

fof(c_0_832,axiom,
    ! [X4,X40,X5] :
      ( c_member(tc_prod(X5,X5),X40,X4)
     => c_member(tc_prod(X5,X5),X40,c_Transitive__Closure_Otrancl(X5,X4)) ),
    c_0_310 ).

fof(c_0_833,axiom,
    ! [X4,X40,X5] :
      ( c_member(tc_prod(X5,X5),X40,X4)
     => c_member(tc_prod(X5,X5),X40,c_Transitive__Closure_Ortrancl(X5,X4)) ),
    c_0_311 ).

fof(c_0_834,axiom,
    ! [X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))
    <=> X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    c_0_312 ).

fof(c_0_835,axiom,
    ! [X11,X12,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X11),X12),
    c_0_313 ).

fof(c_0_836,axiom,
    ! [X11,X12,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)),
    c_0_314 ).

fof(c_0_837,axiom,
    ! [X12,X11,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11)),
    c_0_315 ).

fof(c_0_838,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Olinear__order__on(X5,X12,X4)
    <=> ( c_Order__Relation_Opartial__order__on(X5,X12,X4)
        & c_Relation_Ototal__on(X5,X12,X4) ) ),
    c_0_316 ).

fof(c_0_839,axiom,
    ! [X14,X5] : c_Set_Othe__elem(X5,c_Set_Oinsert(X5,X14,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) = X14,
    c_0_317 ).

fof(c_0_840,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) ),
    c_0_318 ).

fof(c_0_841,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) ),
    c_0_319 ).

fof(c_0_842,axiom,
    ! [X27,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X28,c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27)) = c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27) ),
    c_0_320 ).

fof(c_0_843,axiom,
    ! [X76,X77,X78] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X77)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X77,X76)
       => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X76) ) ),
    c_0_321 ).

fof(c_0_844,axiom,
    ! [X12,X14,X5] : c_Set_Oinsert(X5,X14,c_Set_Oinsert(X5,X14,X12)) = c_Set_Oinsert(X5,X14,X12),
    c_0_322 ).

fof(c_0_845,axiom,
    ! [X4,X5,X16] :
      ( c_Relation_ORange(X16,X5,X4) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> X4 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X16,X5),tc_HOL_Obool)) ),
    c_0_323 ).

fof(c_0_846,axiom,
    ! [X4,X16,X5] :
      ( c_Relation_ODomain(X5,X16,X4) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> X4 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X16),tc_HOL_Obool)) ),
    c_0_324 ).

fof(c_0_847,plain,
    ! [X12,X5] : ~ c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_848,plain,
    ! [X13,X14,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X14,X13)
      <=> ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
          & ~ c_Orderings_Oord__class_Oless__eq(X5,X13,X14) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_849,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
    <=> ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
        | X12 = X11 ) ),
    c_0_327 ).

fof(c_0_850,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
        & X12 != X11 ) ),
    c_0_328 ).

fof(c_0_851,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
    <=> c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = X11 ),
    c_0_329 ).

fof(c_0_852,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = X11 ),
    c_0_330 ).

fof(c_0_853,axiom,
    ! [X12,X11,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12)
     => c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = X12 ),
    c_0_331 ).

fof(c_0_854,axiom,
    ! [X14,X56,X18,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X18,X56)
     => ( hBOOL(hAPP(X18,X14))
       => hBOOL(hAPP(X56,X14)) ) ),
    c_0_332 ).

fof(c_0_855,axiom,
    ! [X56,X5,X14,X18] :
      ( hBOOL(hAPP(X18,X14))
     => ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X18,X56)
       => hBOOL(hAPP(X56,X14)) ) ),
    c_0_333 ).

fof(c_0_856,axiom,
    ! [X11,X12,X5] :
      ( c_Orderings_Oord__class_Oless(tc_fun(X5,tc_HOL_Obool),X12,X11)
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ),
    c_0_334 ).

fof(c_0_857,axiom,
    ! [X5] : c_Relation_OField(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    c_0_335 ).

fof(c_0_858,axiom,
    ! [X11,X12,X5] :
      ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
        & X11 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ) ),
    c_0_336 ).

fof(c_0_859,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Ostrict__linear__order__on(X5,X12,X4)
    <=> ( c_Relation_Otrans(X5,X4)
        & c_Relation_Oirrefl(X5,X4)
        & c_Relation_Ototal__on(X5,X12,X4) ) ),
    c_0_337 ).

fof(c_0_860,axiom,
    ! [X10,X11,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,c_Set_Oinsert(X5,X10,X11)),
    c_0_338 ).

fof(c_0_861,axiom,
    ! [X70,X8,X9,X10,X5] :
      ( class_Groups_Oab__group__add(X5)
     => ( c_Groups_Ominus__class_Ominus(X5,X10,X9) = c_Groups_Ominus__class_Ominus(X5,X8,X70)
       => ( X10 = X9
        <=> X8 = X70 ) ) ),
    c_0_339 ).

fof(c_0_862,plain,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
       => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
        <=> X14 = X13 ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_863,axiom,
    ! [X4,X5] :
      ( ! [X3] : c_member(X5,X3,c_Wellfounded_Oacc(X5,X4))
     => c_Wellfounded_Owf(X5,X4) ),
    c_0_341 ).

fof(c_0_864,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
    <=> ! [X3] : c_member(X5,X3,c_Wellfounded_Oacc(X5,X4)) ),
    c_0_342 ).

fof(c_0_865,axiom,
    ! [X59,X60,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
         => X59 = X60 ) ) ),
    c_0_343 ).

fof(c_0_866,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
         => X59 = X60 ) ) ),
    c_0_344 ).

fof(c_0_867,axiom,
    ! [X14,X13,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X13,X14)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
        <=> X14 = X13 ) ) ),
    c_0_345 ).

fof(c_0_868,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X14 = X13
      <=> ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
          & c_Orderings_Oord__class_Oless__eq(X5,X13,X14) ) ) ),
    c_0_346 ).

fof(c_0_869,plain,
    ! [X59,X60,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => ~ c_Orderings_Oord__class_Oless(X5,X59,X60) ) ),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_870,plain,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
      <=> c_Orderings_Oord__class_Oless(X5,X13,X14) ) ),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_871,plain,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
      <=> c_Orderings_Oord__class_Oless__eq(X5,X13,X14) ) ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_872,plain,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ~ c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_873,plain,
    ! [X28,X27,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X27,X28)
       => ~ c_Orderings_Oord__class_Oless(X5,X28,X27) ) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_874,plain,
    ! [X27,X28,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X28,X27)
       => ~ c_Orderings_Oord__class_Oless(X5,X27,X28) ) ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_875,plain,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ~ c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_876,plain,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ~ c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_877,plain,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
      <=> ( c_Orderings_Oord__class_Oless(X5,X13,X14)
          | X14 = X13 ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_878,axiom,
    ! [X15,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X5,X15),c_Relation_OId(X5)) = c_Transitive__Closure_Ortrancl(X5,X15),
    c_0_356 ).

fof(c_0_879,axiom,
    ! [X4,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X5,X5),tc_HOL_Obool),c_Transitive__Closure_Otrancl(X5,X4),c_Relation_OId(X5)) = c_Transitive__Closure_Ortrancl(X5,X4),
    c_0_357 ).

fof(c_0_880,axiom,
    ! [X5] : c_Transitive__Closure_Ortrancl(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))) = c_Relation_OId(X5),
    c_0_358 ).

fof(c_0_881,axiom,
    ! [X5] : c_Relation_Oantisym(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    c_0_359 ).

fof(c_0_882,axiom,
    ! [X5] : c_Wellfounded_Owf(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool))),
    c_0_360 ).

fof(c_0_883,axiom,
    ! [X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
     => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X72)
       => X72 = X71 ) ),
    c_0_361 ).

fof(c_0_884,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) ),
    c_0_362 ).

fof(c_0_885,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X59,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) ),
    c_0_363 ).

fof(c_0_886,axiom,
    ! [X59,X60,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X60,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) ),
    c_0_364 ).

fof(c_0_887,axiom,
    ! [X59,X60,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X60,c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60)) ),
    c_0_365 ).

fof(c_0_888,plain,
    ! [X8,X5] : ~ c_member(X5,X8,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_889,plain,
    ! [X10,X5] : ~ c_member(X5,X10,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_890,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Opartial__order__on(X5,X12,X4)
    <=> ( c_Order__Relation_Opreorder__on(X5,X12,X4)
        & c_Relation_Oantisym(X5,X4) ) ),
    c_0_368 ).

fof(c_0_891,axiom,
    ! [X4,X12,X5] :
      ( c_Order__Relation_Opreorder__on(X5,X12,X4)
    <=> ( c_Relation_Orefl__on(X5,X12,X4)
        & c_Relation_Otrans(X5,X4) ) ),
    c_0_369 ).

fof(c_0_892,axiom,
    ! [X11,X10,X5] : c_member(X5,X10,c_Set_Oinsert(X5,X10,X11)),
    c_0_370 ).

fof(c_0_893,axiom,
    ! [X71,X72] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X72,X71),X72),
    c_0_371 ).

fof(c_0_894,axiom,
    ! [X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X12) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    c_0_372 ).

fof(c_0_895,axiom,
    ! [X11,X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X11) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X11,X12),
    c_0_373 ).

fof(c_0_896,axiom,
    ! [X61,X28,X27,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X27,X28)
       => ( X27 = X61
         => c_Orderings_Oord__class_Oless(X5,X61,X28) ) ) ),
    c_0_374 ).

fof(c_0_897,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oord(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X28,X27)
       => ( X27 = X61
         => c_Orderings_Oord__class_Oless(X5,X28,X61) ) ) ),
    c_0_375 ).

fof(c_0_898,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X28 = X27
       => ( c_Orderings_Oord__class_Oless(X5,X61,X27)
         => c_Orderings_Oord__class_Oless(X5,X61,X28) ) ) ),
    c_0_376 ).

fof(c_0_899,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oord(X5)
     => ( X28 = X27
       => ( c_Orderings_Oord__class_Oless(X5,X27,X61)
         => c_Orderings_Oord__class_Oless(X5,X28,X61) ) ) ),
    c_0_377 ).

fof(c_0_900,plain,
    ! [X14,X13,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X13,X14)
       => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
        <=> X14 = X13 ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_378]) ).

fof(c_0_901,axiom,
    ! [X61,X28,X27,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X28)
       => ( X27 = X61
         => c_Orderings_Oord__class_Oless__eq(X5,X61,X28) ) ) ),
    c_0_379 ).

fof(c_0_902,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oord(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X27)
       => ( X27 = X61
         => c_Orderings_Oord__class_Oless__eq(X5,X28,X61) ) ) ),
    c_0_380 ).

fof(c_0_903,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X28 = X27
       => ( c_Orderings_Oord__class_Oless__eq(X5,X61,X27)
         => c_Orderings_Oord__class_Oless__eq(X5,X61,X28) ) ) ),
    c_0_381 ).

fof(c_0_904,axiom,
    ! [X61,X27,X28,X5] :
      ( class_Orderings_Oord(X5)
     => ( X28 = X27
       => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X61)
         => c_Orderings_Oord__class_Oless__eq(X5,X28,X61) ) ) ),
    c_0_382 ).

fof(c_0_905,axiom,
    ! [X28,X27,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X28)
       => ( X28 != X27
         => c_Orderings_Oord__class_Oless(X5,X27,X28) ) ) ),
    c_0_383 ).

fof(c_0_906,axiom,
    ! [X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X27)
       => ( X28 != X27
         => c_Orderings_Oord__class_Oless(X5,X28,X27) ) ) ),
    c_0_384 ).

fof(c_0_907,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
          | X59 = X60 ) ) ),
    c_0_385 ).

fof(c_0_908,axiom,
    ! [X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X28 != X27
       => ( c_Orderings_Oord__class_Oless__eq(X5,X27,X28)
         => c_Orderings_Oord__class_Oless(X5,X27,X28) ) ) ),
    c_0_386 ).

fof(c_0_909,axiom,
    ! [X27,X28,X5] :
      ( class_Orderings_Oorder(X5)
     => ( X28 != X27
       => ( c_Orderings_Oord__class_Oless__eq(X5,X28,X27)
         => c_Orderings_Oord__class_Oless(X5,X28,X27) ) ) ),
    c_0_387 ).

fof(c_0_910,plain,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X14,X13)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
        <=> X14 = X13 ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_388]) ).

fof(c_0_911,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
      <=> ( c_Orderings_Oord__class_Oless(X5,X14,X13)
          | X14 = X13 ) ) ),
    c_0_389 ).

fof(c_0_912,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X14,X13)
      <=> ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
          & X14 != X13 ) ) ),
    c_0_390 ).

fof(c_0_913,axiom,
    ! [X13,X14,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X13)
      <=> c_Lattices_Osemilattice__sup__class_Osup(X5,X14,X13) = X13 ) ),
    c_0_391 ).

fof(c_0_914,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) = X60 ) ),
    c_0_392 ).

fof(c_0_915,axiom,
    ! [X59,X60,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) = X59 ) ),
    c_0_393 ).

fof(c_0_916,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => c_Orderings_Oord__class_Oless__eq(X5,X59,X60) ) ),
    c_0_394 ).

fof(c_0_917,axiom,
    ! [X5] : c_Relation_OId__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X5,X5),tc_HOL_Obool)),
    c_0_395 ).

fof(c_0_918,axiom,
    ! [X14,X5,X11,X12] :
      ( X12 = X11
     => ( c_member(X5,X14,X12)
      <=> c_member(X5,X14,X11) ) ),
    c_0_396 ).

fof(c_0_919,axiom,
    ! [X12,X5,X13,X14] :
      ( X14 = X13
     => ( c_member(X5,X14,X12)
      <=> c_member(X5,X13,X12) ) ),
    c_0_397 ).

fof(c_0_920,axiom,
    ! [X12,X5,X9,X10] :
      ( X10 = X9
     => ( c_member(X5,X9,X12)
       => c_member(X5,X10,X12) ) ),
    c_0_398 ).

fof(c_0_921,plain,
    ! [X8,X5,X11,X12] :
      ( X12 = X11
     => ( ( c_member(X5,X8,X12)
         => ~ c_member(X5,X8,X11) )
       => ~ ( ~ c_member(X5,X8,X12)
           => c_member(X5,X8,X11) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_922,axiom,
    ! [X2,X15,X5] :
      ( c_Wellfounded_Owf(X5,X15)
     => c_Wellfounded_Owf(X5,c_Wellfounded_Omlex__prod(X5,X2,X15)) ),
    c_0_400 ).

fof(c_0_923,axiom,
    ! [X15,X5] :
      ( c_Wellfounded_Owf(X5,X15)
     => c_Wellfounded_OwfP(X5,c_FunDef_Oin__rel(X5,X5,X15)) ),
    c_0_401 ).

fof(c_0_924,axiom,
    ! [X12,X10,X5] :
      ( c_member(X5,X10,X12)
     => c_Set_Oinsert(X5,X10,X12) = X12 ),
    c_0_402 ).

fof(c_0_925,axiom,
    ! [X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
     => ( X72 != X71
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71) ) ),
    c_0_403 ).

fof(c_0_926,axiom,
    ! [X68,X69] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X69,X68)
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68)
        | X69 = X68 ) ),
    c_0_404 ).

fof(c_0_927,axiom,
    ! [X68,X69] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X69,X68)
        & X69 != X68 ) ),
    c_0_405 ).

fof(c_0_928,axiom,
    ! [X71,X72] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71) ),
    c_0_406 ).

fof(c_0_929,axiom,
    ! [X71,X72] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71)
        | X72 = X71 )
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71) ),
    c_0_407 ).

fof(c_0_930,axiom,
    ! [X60,X59] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X59,X60)
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X59,X60) ),
    c_0_408 ).

fof(c_0_931,axiom,
    ! [X4,X5] : c_Relation_ORange(X5,X5,c_Transitive__Closure_Otrancl(X5,X4)) = c_Relation_ORange(X5,X5,X4),
    c_0_409 ).

fof(c_0_932,axiom,
    ! [X4,X5] : c_Relation_ODomain(X5,X5,c_Transitive__Closure_Otrancl(X5,X4)) = c_Relation_ODomain(X5,X5,X4),
    c_0_410 ).

fof(c_0_933,plain,
    ! [X10,X5,X12] :
      ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
     => ~ c_member(X5,X10,X12) ),
    inference(fof_simplification,[status(thm)],[c_0_411]) ).

fof(c_0_934,axiom,
    ! [X12,X5] :
      ( ? [X3] : c_member(X5,X3,X12)
    <=> X12 != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    c_0_412 ).

fof(c_0_935,plain,
    ! [X12,X5] :
      ( ! [X3] : ~ c_member(X5,X3,X12)
    <=> X12 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    inference(fof_simplification,[status(thm)],[c_0_413]) ).

fof(c_0_936,axiom,
    ! [X11,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X11) = X11,
    c_0_414 ).

fof(c_0_937,axiom,
    ! [X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = X12,
    c_0_415 ).

fof(c_0_938,axiom,
    ! [X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = X12,
    c_0_416 ).

fof(c_0_939,axiom,
    ! [X12,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X12),
    c_0_417 ).

fof(c_0_940,axiom,
    ! [X12,X10,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != c_Set_Oinsert(X5,X10,X12),
    c_0_418 ).

fof(c_0_941,axiom,
    ! [X12,X10,X5] : c_Set_Oinsert(X5,X10,X12) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    c_0_419 ).

fof(c_0_942,axiom,
    ! [X1,X2] :
      ( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
     => X2 = X1 ),
    c_0_420 ).

fof(c_0_943,plain,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X59,X60)
       => ( X59 != X60
         => c_Orderings_Oord__class_Oless(X5,X60,X59) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_421]) ).

fof(c_0_944,plain,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( X59 != X60
       => ( ~ c_Orderings_Oord__class_Oless(X5,X59,X60)
         => c_Orderings_Oord__class_Oless(X5,X60,X59) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_422]) ).

fof(c_0_945,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
        | X59 = X60
        | c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    c_0_423 ).

fof(c_0_946,axiom,
    ! [X13,X14,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( X14 != X13
      <=> ( c_Orderings_Oord__class_Oless(X5,X14,X13)
          | c_Orderings_Oord__class_Oless(X5,X13,X14) ) ) ),
    c_0_424 ).

fof(c_0_947,plain,
    ! [X59,X60,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X5,X60,X59)
       => c_Orderings_Oord__class_Oless(X5,X59,X60) ) ),
    inference(fof_simplification,[status(thm)],[c_0_425]) ).

fof(c_0_948,plain,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless(X5,X59,X60)
       => c_Orderings_Oord__class_Oless__eq(X5,X60,X59) ) ),
    inference(fof_simplification,[status(thm)],[c_0_426]) ).

fof(c_0_949,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
        | c_Orderings_Oord__class_Oless(X5,X60,X59) ) ),
    c_0_427 ).

fof(c_0_950,plain,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
       => c_Orderings_Oord__class_Oless__eq(X5,X60,X59) ) ),
    inference(fof_simplification,[status(thm)],[c_0_428]) ).

fof(c_0_951,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X59,X60)
        | c_Orderings_Oord__class_Oless__eq(X5,X60,X59) ) ),
    c_0_429 ).

fof(c_0_952,axiom,
    ! [X12,X14,X5] :
      ( c_member(X5,X14,X12)
    <=> hBOOL(hAPP(X12,X14)) ),
    c_0_430 ).

fof(c_0_953,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) = c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X59) ),
    c_0_431 ).

fof(c_0_954,axiom,
    ! [X60,X59,X5] :
      ( class_Lattices_Olattice(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X60) = c_Lattices_Osemilattice__sup__class_Osup(X5,X60,X59) ),
    c_0_432 ).

fof(c_0_955,axiom,
    ! [X27,X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X27) = c_Lattices_Osemilattice__sup__class_Osup(X5,X27,X28) ),
    c_0_433 ).

fof(c_0_956,plain,
    ! [X60,X59] :
      ( X59 != X60
     => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X59,X60)
       => c_Orderings_Oord__class_Oless(tc_Nat_Onat,X60,X59) ) ),
    inference(fof_simplification,[status(thm)],[c_0_434]) ).

fof(c_0_957,axiom,
    ! [X68,X69] :
      ( X69 != X68
    <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X69,X68)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X68,X69) ) ),
    c_0_435 ).

fof(c_0_958,axiom,
    ! [X4,X5] : c_Relation_Ototal__on(X5,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X4),
    c_0_436 ).

fof(c_0_959,axiom,
    ! [X71,X72] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X72) ),
    c_0_437 ).

fof(c_0_960,axiom,
    ! [X13,X14,X5] :
      ( class_Lattices_Obounded__lattice__bot(X5)
     => ( c_Lattices_Osemilattice__sup__class_Osup(X5,X14,X13) = c_Orderings_Obot__class_Obot(X5)
      <=> ( X14 = c_Orderings_Obot__class_Obot(X5)
          & X13 = c_Orderings_Obot__class_Obot(X5) ) ) ),
    c_0_438 ).

fof(c_0_961,axiom,
    ! [X12,X5] : c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X12,X12) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
    c_0_439 ).

fof(c_0_962,axiom,
    ! [X14,X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_member(X5,X14,c_Wellfounded_Oacc(X5,X4)) ),
    c_0_440 ).

fof(c_0_963,axiom,
    ! [X13,X14,X5] :
      ( c_member(X5,X14,c_fequal(X13))
    <=> X14 = X13 ),
    c_0_441 ).

fof(c_0_964,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => X60 != X59 ) ),
    c_0_442 ).

fof(c_0_965,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => X59 != X60 ) ),
    c_0_443 ).

fof(c_0_966,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Oorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X59,X60)
       => X59 != X60 ) ),
    c_0_444 ).

fof(c_0_967,plain,
    ! [X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ~ c_Orderings_Oord__class_Oless(X5,X59,X59) ),
    inference(fof_simplification,[status(thm)],[c_0_445]) ).

fof(c_0_968,axiom,
    ! [X73,X74] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X74,X73)
     => X74 != X73 ),
    c_0_446 ).

fof(c_0_969,axiom,
    ! [X72,X71] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X72)
     => X72 != X71 ),
    c_0_447 ).

fof(c_0_970,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Owf(tc_fun(X5,tc_HOL_Obool),c_Wellfounded_Omin__ext(X5,X4)) ),
    c_0_448 ).

fof(c_0_971,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Owf(tc_fun(X5,tc_HOL_Obool),c_Wellfounded_Omax__ext(X5,X4)) ),
    c_0_449 ).

fof(c_0_972,plain,
    ! [X71] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X71),
    inference(fof_simplification,[status(thm)],[c_0_450]) ).

fof(c_0_973,plain,
    ! [X71] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X71),
    inference(fof_simplification,[status(thm)],[c_0_451]) ).

fof(c_0_974,axiom,
    ! [X14,X16,X5] :
      ( class_Orderings_Obot(X5)
     => hAPP(c_Orderings_Obot__class_Obot(tc_fun(X16,X5)),X14) = c_Orderings_Obot__class_Obot(X5) ),
    c_0_452 ).

fof(c_0_975,axiom,
    ! [X12,X5] : c_Relation_ODomain(X5,X5,c_Relation_OId__on(X5,X12)) = X12,
    c_0_453 ).

fof(c_0_976,axiom,
    ! [X12,X5] : c_Relation_ORange(X5,X5,c_Relation_OId__on(X5,X12)) = X12,
    c_0_454 ).

fof(c_0_977,plain,
    ! [X5,X11,X12] :
      ( X12 = X11
     => ~ ( c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11)
         => ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12) ) ),
    inference(fof_simplification,[status(thm)],[c_0_455]) ).

fof(c_0_978,axiom,
    ! [X5,X11,X12] :
      ( X12 = X11
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X11,X12) ),
    c_0_456 ).

fof(c_0_979,axiom,
    ! [X5,X11,X12] :
      ( X12 = X11
     => c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X11) ),
    c_0_457 ).

fof(c_0_980,axiom,
    ! [X12,X5] : c_Relation_Osingle__valued(X5,X5,c_Relation_OId__on(X5,X12)),
    c_0_458 ).

fof(c_0_981,axiom,
    ! [X12,X5] : c_Relation_Orefl__on(X5,X12,c_Relation_OId__on(X5,X12)),
    c_0_459 ).

fof(c_0_982,axiom,
    ! [X12,X5] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X12,X12) = X12,
    c_0_460 ).

fof(c_0_983,axiom,
    ! [X12,X5] : c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X12,X12),
    c_0_461 ).

fof(c_0_984,plain,
    ! [X13,X14] :
      ( ~ hBOOL(hAPP(c_fequal(X14),X13))
      | X14 = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_462]) ).

fof(c_0_985,axiom,
    ! [X59,X5] :
      ( class_Lattices_Obounded__lattice__bot(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,c_Orderings_Obot__class_Obot(X5),X59) = X59 ),
    c_0_463 ).

fof(c_0_986,axiom,
    ! [X59,X5] :
      ( class_Lattices_Obounded__lattice__bot(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,c_Orderings_Obot__class_Obot(X5)) = X59 ),
    c_0_464 ).

fof(c_0_987,axiom,
    ! [X59,X5] :
      ( class_Orderings_Obot(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,c_Orderings_Obot__class_Obot(X5),X59) ),
    c_0_465 ).

fof(c_0_988,axiom,
    ! [X60,X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => ( X59 = X60
       => c_Orderings_Oord__class_Oless__eq(X5,X59,X60) ) ),
    c_0_466 ).

fof(c_0_989,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Owf(X5,c_Transitive__Closure_Otrancl(X5,X4)) ),
    c_0_467 ).

fof(c_0_990,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Oacyclic(X5,X4)
     => c_Relation_Oantisym(X5,c_Transitive__Closure_Ortrancl(X5,X4)) ),
    c_0_468 ).

fof(c_0_991,axiom,
    ! [X59,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X59,X59) = X59 ),
    c_0_469 ).

fof(c_0_992,axiom,
    ! [X28,X5] :
      ( class_Lattices_Osemilattice__sup(X5)
     => c_Lattices_Osemilattice__sup__class_Osup(X5,X28,X28) = X28 ),
    c_0_470 ).

fof(c_0_993,axiom,
    ! [X59,X5] :
      ( class_Orderings_Opreorder(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X59,X59) ),
    c_0_471 ).

fof(c_0_994,axiom,
    ! [X5] : c_Relation_Osingle__valued(X5,X5,c_Relation_OId(X5)),
    c_0_472 ).

fof(c_0_995,axiom,
    ! [X71,X72] :
      ( X72 = X71
     => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X71) ),
    c_0_473 ).

fof(c_0_996,axiom,
    ! [X5] : c_Wellfounded_Omeasure(X5) = c_Relation_Oinv__image(tc_Nat_Onat,X5,c_Wellfounded_Oless__than),
    c_0_474 ).

fof(c_0_997,axiom,
    ! [X15,X5] : c_Transitive__Closure_Otrancl(X5,c_Transitive__Closure_Ortrancl(X5,X15)) = c_Transitive__Closure_Ortrancl(X5,X15),
    c_0_475 ).

fof(c_0_998,axiom,
    ! [X15,X5] : c_Transitive__Closure_Ortrancl(X5,c_Transitive__Closure_Otrancl(X5,X15)) = c_Transitive__Closure_Ortrancl(X5,X15),
    c_0_476 ).

fof(c_0_999,axiom,
    ! [X4,X5] : c_Transitive__Closure_Ortrancl(X5,c_Transitive__Closure_Ortrancl(X5,X4)) = c_Transitive__Closure_Ortrancl(X5,X4),
    c_0_477 ).

fof(c_0_1000,axiom,
    ! [X71] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X71),
    c_0_478 ).

fof(c_0_1001,axiom,
    ! [X2,X5] : c_Wellfounded_Owf(X5,hAPP(c_Wellfounded_Omeasure(X5),X2)),
    c_0_479 ).

fof(c_0_1002,axiom,
    ! [X13,X14] :
      ( X14 != X13
      | hBOOL(hAPP(c_fequal(X14),X13)) ),
    c_0_480 ).

fof(c_0_1003,axiom,
    ! [X12,X5] : c_Relation_Oantisym(X5,c_Relation_OId__on(X5,X12)),
    c_0_481 ).

fof(c_0_1004,axiom,
    ! [X4,X5] : c_Relation_Otrans(X5,c_Transitive__Closure_Otrancl(X5,X4)),
    c_0_482 ).

fof(c_0_1005,axiom,
    ! [X4,X5] : c_Relation_Otrans(X5,c_Transitive__Closure_Ortrancl(X5,X4)),
    c_0_483 ).

fof(c_0_1006,axiom,
    ! [X12,X5] : c_Relation_Otrans(X5,c_Relation_OId__on(X5,X12)),
    c_0_484 ).

fof(c_0_1007,axiom,
    ! [X4,X5] :
      ( c_Relation_Otrans(X5,X4)
     => c_Transitive__Closure_Otrancl(X5,X4) = X4 ),
    c_0_485 ).

fof(c_0_1008,axiom,
    ! [X90,X91] :
      ( class_Groups_Ominus(X91)
     => class_Groups_Ominus(tc_fun(X90,X91)) ),
    c_0_486 ).

fof(c_0_1009,axiom,
    ! [X90,X91] :
      ( class_Orderings_Obot(X91)
     => class_Orderings_Obot(tc_fun(X90,X91)) ),
    c_0_487 ).

fof(c_0_1010,axiom,
    ! [X90,X91] :
      ( class_Orderings_Oord(X91)
     => class_Orderings_Oord(tc_fun(X90,X91)) ),
    c_0_488 ).

fof(c_0_1011,axiom,
    ! [X90,X91] :
      ( class_Orderings_Oorder(X91)
     => class_Orderings_Oorder(tc_fun(X90,X91)) ),
    c_0_489 ).

fof(c_0_1012,axiom,
    ! [X90,X91] :
      ( class_Lattices_Olattice(X91)
     => class_Lattices_Olattice(tc_fun(X90,X91)) ),
    c_0_490 ).

fof(c_0_1013,axiom,
    ! [X90,X91] :
      ( class_Orderings_Opreorder(X91)
     => class_Orderings_Opreorder(tc_fun(X90,X91)) ),
    c_0_491 ).

fof(c_0_1014,axiom,
    ! [X90,X91] :
      ( class_Lattices_Olattice(X91)
     => class_Lattices_Osemilattice__sup(tc_fun(X90,X91)) ),
    c_0_492 ).

fof(c_0_1015,axiom,
    ! [X90,X91] :
      ( class_Lattices_Obounded__lattice(X91)
     => class_Lattices_Obounded__lattice__bot(tc_fun(X90,X91)) ),
    c_0_493 ).

fof(c_0_1016,axiom,
    ! [X90,X91] :
      ( class_Lattices_Obounded__lattice(X91)
     => class_Lattices_Obounded__lattice(tc_fun(X90,X91)) ),
    c_0_494 ).

fof(c_0_1017,axiom,
    ! [X4,X5] :
      ( c_Wellfounded_Owf(X5,X4)
     => c_Wellfounded_Oacyclic(X5,X4) ),
    c_0_495 ).

fof(c_0_1018,axiom,
    c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    c_0_496 ).

fof(c_0_1019,axiom,
    c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    c_0_497 ).

fof(c_0_1020,axiom,
    c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    c_0_498 ).

fof(c_0_1021,axiom,
    ! [X5] : c_Relation_Oantisym(X5,c_Relation_OId(X5)),
    c_0_499 ).

fof(c_0_1022,axiom,
    ! [X5] : c_Relation_Otrans(X5,c_Relation_OId(X5)),
    c_0_500 ).

fof(c_0_1023,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    c_0_501 ).

fof(c_0_1024,axiom,
    c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    c_0_502 ).

fof(c_0_1025,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
    c_0_503 ).

fof(c_0_1026,axiom,
    c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than),
    c_0_504 ).

fof(c_0_1027,axiom,
    class_Groups_Ominus(tc_HOL_Obool),
    c_0_505 ).

fof(c_0_1028,axiom,
    class_Orderings_Obot(tc_HOL_Obool),
    c_0_506 ).

fof(c_0_1029,axiom,
    class_Orderings_Oord(tc_HOL_Obool),
    c_0_507 ).

fof(c_0_1030,axiom,
    class_Orderings_Oorder(tc_HOL_Obool),
    c_0_508 ).

fof(c_0_1031,axiom,
    class_Lattices_Olattice(tc_HOL_Obool),
    c_0_509 ).

fof(c_0_1032,axiom,
    class_Orderings_Opreorder(tc_HOL_Obool),
    c_0_510 ).

fof(c_0_1033,axiom,
    class_Lattices_Osemilattice__sup(tc_HOL_Obool),
    c_0_511 ).

fof(c_0_1034,axiom,
    class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
    c_0_512 ).

fof(c_0_1035,axiom,
    class_Groups_Ominus(tc_Nat_Onat),
    c_0_513 ).

fof(c_0_1036,axiom,
    class_Orderings_Obot(tc_Nat_Onat),
    c_0_514 ).

fof(c_0_1037,axiom,
    class_Orderings_Oord(tc_Nat_Onat),
    c_0_515 ).

fof(c_0_1038,axiom,
    class_Orderings_Oorder(tc_Nat_Onat),
    c_0_516 ).

fof(c_0_1039,axiom,
    class_Lattices_Olattice(tc_Nat_Onat),
    c_0_517 ).

fof(c_0_1040,axiom,
    class_Orderings_Olinorder(tc_Nat_Onat),
    c_0_518 ).

fof(c_0_1041,axiom,
    class_Orderings_Opreorder(tc_Nat_Onat),
    c_0_519 ).

fof(c_0_1042,axiom,
    class_Lattices_Osemilattice__sup(tc_Nat_Onat),
    c_0_520 ).

fof(c_0_1043,axiom,
    class_Lattices_Obounded__lattice(tc_HOL_Obool),
    c_0_521 ).

fof(c_0_1044,plain,
    ! [X47,X48,X49,X50,X51,X52,X53,X54] :
      ( ( c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,esk38_8(X47,X48,X49,X50,X51,X52,X53,X54),esk39_8(X47,X48,X49,X50,X51,X52,X53,X54)),c_Product__Type_OPair(X54,X53,esk40_8(X47,X48,X49,X50,X51,X52,X53,X54),esk41_8(X47,X48,X49,X50,X51,X52,X53,X54))),X48)
        | hBOOL(hAPP(hAPP(X47,X52),X51))
        | ~ hBOOL(hAPP(hAPP(X47,X50),X49))
        | ~ c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48)) )
      & ( c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,esk40_8(X47,X48,X49,X50,X51,X52,X53,X54),esk41_8(X47,X48,X49,X50,X51,X52,X53,X54)),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48))
        | hBOOL(hAPP(hAPP(X47,X52),X51))
        | ~ hBOOL(hAPP(hAPP(X47,X50),X49))
        | ~ c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48)) )
      & ( hBOOL(hAPP(hAPP(X47,esk40_8(X47,X48,X49,X50,X51,X52,X53,X54)),esk41_8(X47,X48,X49,X50,X51,X52,X53,X54)))
        | hBOOL(hAPP(hAPP(X47,X52),X51))
        | ~ hBOOL(hAPP(hAPP(X47,X50),X49))
        | ~ c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48)) )
      & ( ~ hBOOL(hAPP(hAPP(X47,esk38_8(X47,X48,X49,X50,X51,X52,X53,X54)),esk39_8(X47,X48,X49,X50,X51,X52,X53,X54)))
        | hBOOL(hAPP(hAPP(X47,X52),X51))
        | ~ hBOOL(hAPP(hAPP(X47,X50),X49))
        | ~ c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_522])])])]) ).

fof(c_0_1045,plain,
    ! [X47,X48,X49,X50,X51,X52,X53,X54] :
      ( ( c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,esk34_8(X47,X48,X49,X50,X51,X52,X53,X54),esk35_8(X47,X48,X49,X50,X51,X52,X53,X54))),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48))
        | hBOOL(hAPP(hAPP(X47,X50),X49))
        | ~ hBOOL(hAPP(hAPP(X47,X52),X51))
        | ~ c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48)) )
      & ( c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,esk34_8(X47,X48,X49,X50,X51,X52,X53,X54),esk35_8(X47,X48,X49,X50,X51,X52,X53,X54)),c_Product__Type_OPair(X54,X53,esk36_8(X47,X48,X49,X50,X51,X52,X53,X54),esk37_8(X47,X48,X49,X50,X51,X52,X53,X54))),X48)
        | hBOOL(hAPP(hAPP(X47,X50),X49))
        | ~ hBOOL(hAPP(hAPP(X47,X52),X51))
        | ~ c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48)) )
      & ( hBOOL(hAPP(hAPP(X47,esk34_8(X47,X48,X49,X50,X51,X52,X53,X54)),esk35_8(X47,X48,X49,X50,X51,X52,X53,X54)))
        | hBOOL(hAPP(hAPP(X47,X50),X49))
        | ~ hBOOL(hAPP(hAPP(X47,X52),X51))
        | ~ c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48)) )
      & ( ~ hBOOL(hAPP(hAPP(X47,esk36_8(X47,X48,X49,X50,X51,X52,X53,X54)),esk37_8(X47,X48,X49,X50,X51,X52,X53,X54)))
        | hBOOL(hAPP(hAPP(X47,X50),X49))
        | ~ hBOOL(hAPP(hAPP(X47,X52),X51))
        | ~ c_member(tc_prod(tc_prod(X54,X53),tc_prod(X54,X53)),c_Product__Type_OPair(tc_prod(X54,X53),tc_prod(X54,X53),c_Product__Type_OPair(X54,X53,X52,X51),c_Product__Type_OPair(X54,X53,X50,X49)),c_Transitive__Closure_Ortrancl(tc_prod(X54,X53),X48)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_523])])])]) ).

fof(c_0_1046,plain,
    ! [X51,X52,X53,X54,X55,X56,X57] :
      ( ( c_member(tc_prod(tc_prod(X57,X56),tc_prod(X57,X56)),c_Product__Type_OPair(tc_prod(X57,X56),tc_prod(X57,X56),c_Product__Type_OPair(X57,X56,X55,X54),c_Product__Type_OPair(X57,X56,esk42_7(X51,X52,X53,X54,X55,X56,X57),esk43_7(X51,X52,X53,X54,X55,X56,X57))),X51)
        | c_Product__Type_OPair(X57,X56,X55,X54) = c_Product__Type_OPair(X57,X56,X53,X52)
        | ~ c_member(tc_prod(tc_prod(X57,X56),tc_prod(X57,X56)),c_Product__Type_OPair(tc_prod(X57,X56),tc_prod(X57,X56),c_Product__Type_OPair(X57,X56,X55,X54),c_Product__Type_OPair(X57,X56,X53,X52)),c_Transitive__Closure_Ortrancl(tc_prod(X57,X56),X51)) )
      & ( c_member(tc_prod(tc_prod(X57,X56),tc_prod(X57,X56)),c_Product__Type_OPair(tc_prod(X57,X56),tc_prod(X57,X56),c_Product__Type_OPair(X57,X56,esk42_7(X51,X52,X53,X54,X55,X56,X57),esk43_7(X51,X52,X53,X54,X55,X56,X57)),c_Product__Type_OPair(X57,X56,X53,X52)),c_Transitive__Closure_Ortrancl(tc_prod(X57,X56),X51))
        | c_Product__Type_OPair(X57,X56,X55,X54) = c_Product__Type_OPair(X57,X56,X53,X52)
        | ~ c_member(tc_prod(tc_prod(X57,X56),tc_prod(X57,X56)),c_Product__Type_OPair(tc_prod(X57,X56),tc_prod(X57,X56),c_Product__Type_OPair(X57,X56,X55,X54),c_Product__Type_OPair(X57,X56,X53,X52)),c_Transitive__Closure_Ortrancl(tc_prod(X57,X56),X51)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_524])])])]) ).

fof(c_0_1047,plain,
    ! [X90,X91,X92,X93,X94,X95,X96,X99,X100,X101,X102,X103,X104,X105,X106,X107] :
      ( ( hAPP(hAPP(X94,X91),X90) = hAPP(hAPP(X94,esk86_7(X90,X91,X92,X93,X94,X95,X96)),esk87_7(X90,X91,X92,X93,X94,X95,X96))
        | X92 = c_Orderings_Obot__class_Obot(tc_fun(X96,tc_HOL_Obool))
        | ~ c_Nitpick_Ofold__graph_H(X96,X95,X94,X93,X92,hAPP(hAPP(X94,X91),X90)) )
      & ( c_member(X96,esk86_7(X90,X91,X92,X93,X94,X95,X96),X92)
        | X92 = c_Orderings_Obot__class_Obot(tc_fun(X96,tc_HOL_Obool))
        | ~ c_Nitpick_Ofold__graph_H(X96,X95,X94,X93,X92,hAPP(hAPP(X94,X91),X90)) )
      & ( c_Nitpick_Ofold__graph_H(X96,X95,X94,X93,c_Groups_Ominus__class_Ominus(tc_fun(X96,tc_HOL_Obool),X92,c_Set_Oinsert(X96,esk86_7(X90,X91,X92,X93,X94,X95,X96),c_Orderings_Obot__class_Obot(tc_fun(X96,tc_HOL_Obool)))),esk87_7(X90,X91,X92,X93,X94,X95,X96))
        | X92 = c_Orderings_Obot__class_Obot(tc_fun(X96,tc_HOL_Obool))
        | ~ c_Nitpick_Ofold__graph_H(X96,X95,X94,X93,X92,hAPP(hAPP(X94,X91),X90)) )
      & ( hAPP(hAPP(X94,X91),X90) = hAPP(hAPP(X94,esk86_7(X90,X91,X92,X93,X94,X95,X96)),esk87_7(X90,X91,X92,X93,X94,X95,X96))
        | hAPP(hAPP(X94,X91),X90) = X93
        | ~ c_Nitpick_Ofold__graph_H(X96,X95,X94,X93,X92,hAPP(hAPP(X94,X91),X90)) )
      & ( c_member(X96,esk86_7(X90,X91,X92,X93,X94,X95,X96),X92)
        | hAPP(hAPP(X94,X91),X90) = X93
        | ~ c_Nitpick_Ofold__graph_H(X96,X95,X94,X93,X92,hAPP(hAPP(X94,X91),X90)) )
      & ( c_Nitpick_Ofold__graph_H(X96,X95,X94,X93,c_Groups_Ominus__class_Ominus(tc_fun(X96,tc_HOL_Obool),X92,c_Set_Oinsert(X96,esk86_7(X90,X91,X92,X93,X94,X95,X96),c_Orderings_Obot__class_Obot(tc_fun(X96,tc_HOL_Obool)))),esk87_7(X90,X91,X92,X93,X94,X95,X96))
        | hAPP(hAPP(X94,X91),X90) = X93
        | ~ c_Nitpick_Ofold__graph_H(X96,X95,X94,X93,X92,hAPP(hAPP(X94,X91),X90)) )
      & ( X101 != c_Orderings_Obot__class_Obot(tc_fun(X105,tc_HOL_Obool))
        | hAPP(hAPP(X103,X100),X99) != X102
        | c_Nitpick_Ofold__graph_H(X105,X104,X103,X102,X101,hAPP(hAPP(X103,X100),X99)) )
      & ( hAPP(hAPP(X103,X100),X99) != hAPP(hAPP(X103,X106),X107)
        | ~ c_member(X105,X106,X101)
        | ~ c_Nitpick_Ofold__graph_H(X105,X104,X103,X102,c_Groups_Ominus__class_Ominus(tc_fun(X105,tc_HOL_Obool),X101,c_Set_Oinsert(X105,X106,c_Orderings_Obot__class_Obot(tc_fun(X105,tc_HOL_Obool)))),X107)
        | c_Nitpick_Ofold__graph_H(X105,X104,X103,X102,X101,hAPP(hAPP(X103,X100),X99)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_525])])])])])]) ).

fof(c_0_1048,plain,
    ! [X39,X40,X41,X42,X43,X44,X46,X47,X48,X49,X50,X51,X52,X53] :
      ( ( hAPP(hAPP(X41,X39),X40) = hAPP(hAPP(X41,esk21_6(X39,X40,X41,X42,X43,X44)),X40)
        | ~ c_Recdef_Owfrec__rel(X44,X43,X42,X41,X40,hAPP(hAPP(X41,X39),X40)) )
      & ( ~ c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X46,X40),X42)
        | c_Recdef_Owfrec__rel(X44,X43,X42,X41,X46,hAPP(esk21_6(X39,X40,X41,X42,X43,X44),X46))
        | ~ c_Recdef_Owfrec__rel(X44,X43,X42,X41,X40,hAPP(hAPP(X41,X39),X40)) )
      & ( c_member(tc_prod(X52,X52),c_Product__Type_OPair(X52,X52,esk22_7(X47,X48,X49,X50,X51,X52,X53),X48),X50)
        | hAPP(hAPP(X49,X47),X48) != hAPP(hAPP(X49,X53),X48)
        | c_Recdef_Owfrec__rel(X52,X51,X50,X49,X48,hAPP(hAPP(X49,X47),X48)) )
      & ( ~ c_Recdef_Owfrec__rel(X52,X51,X50,X49,esk22_7(X47,X48,X49,X50,X51,X52,X53),hAPP(X53,esk22_7(X47,X48,X49,X50,X51,X52,X53)))
        | hAPP(hAPP(X49,X47),X48) != hAPP(hAPP(X49,X53),X48)
        | c_Recdef_Owfrec__rel(X52,X51,X50,X49,X48,hAPP(hAPP(X49,X47),X48)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_526])])])])])]) ).

fof(c_0_1049,plain,
    ! [X39,X40,X41,X42,X43,X44,X46,X47,X48,X49,X50,X51,X52,X53] :
      ( ( X39 = hAPP(hAPP(X41,esk26_6(X39,X40,X41,X42,X43,X44)),X40)
        | ~ c_Recdef_Owfrec__rel(X44,X43,X42,X41,X40,X39) )
      & ( ~ c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X46,X40),X42)
        | c_Recdef_Owfrec__rel(X44,X43,X42,X41,X46,hAPP(esk26_6(X39,X40,X41,X42,X43,X44),X46))
        | ~ c_Recdef_Owfrec__rel(X44,X43,X42,X41,X40,X39) )
      & ( c_member(tc_prod(X52,X52),c_Product__Type_OPair(X52,X52,esk27_7(X47,X48,X49,X50,X51,X52,X53),X48),X50)
        | X47 != hAPP(hAPP(X49,X53),X48)
        | c_Recdef_Owfrec__rel(X52,X51,X50,X49,X48,X47) )
      & ( ~ c_Recdef_Owfrec__rel(X52,X51,X50,X49,esk27_7(X47,X48,X49,X50,X51,X52,X53),hAPP(X53,esk27_7(X47,X48,X49,X50,X51,X52,X53)))
        | X47 != hAPP(hAPP(X49,X53),X48)
        | c_Recdef_Owfrec__rel(X52,X51,X50,X49,X48,X47) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_527])])])])])]) ).

fof(c_0_1050,plain,
    ! [X38,X39,X40,X41,X42,X43] :
      ( ( c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,esk25_6(X38,X39,X40,X41,X42,X43),X42),X41)
        | c_Recdef_Owfrec__rel(X43,X40,X41,X39,X42,hAPP(hAPP(X39,X38),X42)) )
      & ( ~ c_Recdef_Owfrec__rel(X43,X40,X41,X39,esk25_6(X38,X39,X40,X41,X42,X43),hAPP(X38,esk25_6(X38,X39,X40,X41,X42,X43)))
        | c_Recdef_Owfrec__rel(X43,X40,X41,X39,X42,hAPP(hAPP(X39,X38),X42)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_528])])])]) ).

fof(c_0_1051,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
      ( ( c_Recdef_Ocut(X22,X21,X20,X19,X18) != c_Recdef_Ocut(X22,X21,X17,X19,X18)
        | ~ c_member(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X23,X18),X19)
        | hAPP(X20,X23) = hAPP(X17,X23) )
      & ( c_member(tc_prod(X29,X29),c_Product__Type_OPair(X29,X29,esk50_6(X24,X25,X26,X27,X28,X29),X25),X26)
        | c_Recdef_Ocut(X29,X28,X27,X26,X25) = c_Recdef_Ocut(X29,X28,X24,X26,X25) )
      & ( hAPP(X27,esk50_6(X24,X25,X26,X27,X28,X29)) != hAPP(X24,esk50_6(X24,X25,X26,X27,X28,X29))
        | c_Recdef_Ocut(X29,X28,X27,X26,X25) = c_Recdef_Ocut(X29,X28,X24,X26,X25) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_529])])])])])]) ).

fof(c_0_1052,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ hBOOL(c_Product__Type_Ocurry(X21,X20,tc_HOL_Obool,X19,X18,X17))
      | hBOOL(hAPP(X19,c_Product__Type_OPair(X21,X20,X18,X17))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_530])]) ).

fof(c_0_1053,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ hBOOL(c_Product__Type_Ocurry(X21,X20,tc_HOL_Obool,X19,X18,X17))
      | hBOOL(hAPP(X19,c_Product__Type_OPair(X21,X20,X18,X17))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_531])]) ).

fof(c_0_1054,plain,
    ! [X40,X41,X42,X43,X44,X45,X46] :
      ( ~ c_member(X46,X45,X44)
      | ~ c_Nitpick_Ofold__graph_H(X46,X43,X42,X41,c_Groups_Ominus__class_Ominus(tc_fun(X46,tc_HOL_Obool),X44,c_Set_Oinsert(X46,X45,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_HOL_Obool)))),X40)
      | c_Nitpick_Ofold__graph_H(X46,X43,X42,X41,X44,hAPP(hAPP(X42,X45),X40)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_532])]) ).

fof(c_0_1055,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ hBOOL(hAPP(X21,c_Product__Type_OPair(X20,X19,X18,X17)))
      | hBOOL(c_Product__Type_Ocurry(X20,X19,tc_HOL_Obool,X21,X18,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_533])]) ).

fof(c_0_1056,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ( c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,esk69_5(X57,X58,X59,X60,X61)),c_Transitive__Closure_Ortrancl(X61,X58))
        | c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,X58))
        | ~ c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X61,X61),tc_HOL_Obool),X58,X57))) )
      & ( c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,esk69_5(X57,X58,X59,X60,X61),esk70_5(X57,X58,X59,X60,X61)),X57)
        | c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,X58))
        | ~ c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X61,X61),tc_HOL_Obool),X58,X57))) )
      & ( esk69_5(X57,X58,X59,X60,X61) != esk70_5(X57,X58,X59,X60,X61)
        | c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,X58))
        | ~ c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X61,X61),tc_HOL_Obool),X58,X57))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_534])])])]) ).

fof(c_0_1057,plain,
    ! [X57,X58,X59,X60,X61] :
      ( ( c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,esk67_5(X57,X58,X59,X60,X61),X59),c_Transitive__Closure_Ortrancl(X61,X58))
        | c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,X58))
        | ~ c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X61,X61),tc_HOL_Obool),X58,X57))) )
      & ( c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,esk68_5(X57,X58,X59,X60,X61),esk67_5(X57,X58,X59,X60,X61)),X57)
        | c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,X58))
        | ~ c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X61,X61),tc_HOL_Obool),X58,X57))) )
      & ( esk68_5(X57,X58,X59,X60,X61) != esk67_5(X57,X58,X59,X60,X61)
        | c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,X58))
        | ~ c_member(tc_prod(X61,X61),c_Product__Type_OPair(X61,X61,X60,X59),c_Transitive__Closure_Ortrancl(X61,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X61,X61),tc_HOL_Obool),X58,X57))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_535])])])]) ).

fof(c_0_1058,plain,
    ! [X19,X20,X21,X22,X23] :
      ( ( c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,esk48_5(X19,X20,X21,X22,X23)),c_Transitive__Closure_Ortrancl(X23,X20))
        | hBOOL(hAPP(X19,X21))
        | ~ hBOOL(hAPP(X19,X22))
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) )
      & ( c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,esk48_5(X19,X20,X21,X22,X23),esk49_5(X19,X20,X21,X22,X23)),X20)
        | hBOOL(hAPP(X19,X21))
        | ~ hBOOL(hAPP(X19,X22))
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) )
      & ( hBOOL(hAPP(X19,esk48_5(X19,X20,X21,X22,X23)))
        | hBOOL(hAPP(X19,X21))
        | ~ hBOOL(hAPP(X19,X22))
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) )
      & ( ~ hBOOL(hAPP(X19,esk49_5(X19,X20,X21,X22,X23)))
        | hBOOL(hAPP(X19,X21))
        | ~ hBOOL(hAPP(X19,X22))
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_536])])])]) ).

fof(c_0_1059,plain,
    ! [X19,X20,X21,X22,X23] :
      ( ( c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,esk46_5(X19,X20,X21,X22,X23),esk47_5(X19,X20,X21,X22,X23)),X20)
        | hBOOL(hAPP(X19,X22))
        | ~ hBOOL(hAPP(X19,X21))
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) )
      & ( c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,esk47_5(X19,X20,X21,X22,X23),X21),c_Transitive__Closure_Ortrancl(X23,X20))
        | hBOOL(hAPP(X19,X22))
        | ~ hBOOL(hAPP(X19,X21))
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) )
      & ( hBOOL(hAPP(X19,esk47_5(X19,X20,X21,X22,X23)))
        | hBOOL(hAPP(X19,X22))
        | ~ hBOOL(hAPP(X19,X21))
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) )
      & ( ~ hBOOL(hAPP(X19,esk46_5(X19,X20,X21,X22,X23)))
        | hBOOL(hAPP(X19,X22))
        | ~ hBOOL(hAPP(X19,X21))
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_537])])])]) ).

fof(c_0_1060,plain,
    ! [X38,X39,X40,X41,X42] : c_Nitpick_Owf__wfrec_H(X42,X41,X40,X39,X38) = hAPP(hAPP(X39,c_Recdef_Ocut(X42,X41,c_Nitpick_Owf__wfrec(X42,X41,X40,X39),X40,X38)),X38),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_1061,plain,
    ! [X33,X34,X35,X36,X37,X40] :
      ( ( c_member(X36,esk84_5(X33,X34,X35,X36,X37),X33)
        | ~ c_member(X36,X37,X34)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),c_Relation_OImage(X36,X36,X35,X34),c_Relation_OImage(X36,X36,X35,X33))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),X33,c_Relation_OField(X36,X35))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),X34,c_Relation_OField(X36,X35))
        | ~ c_Order__Relation_Opreorder__on(X36,c_Relation_OField(X36,X35),X35) )
      & ( c_member(tc_prod(X36,X36),c_Product__Type_OPair(X36,X36,esk84_5(X33,X34,X35,X36,X37),X37),X35)
        | ~ c_member(X36,X37,X34)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),c_Relation_OImage(X36,X36,X35,X34),c_Relation_OImage(X36,X36,X35,X33))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),X33,c_Relation_OField(X36,X35))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),X34,c_Relation_OField(X36,X35))
        | ~ c_Order__Relation_Opreorder__on(X36,c_Relation_OField(X36,X35),X35) )
      & ( c_member(X36,esk85_4(X33,X34,X35,X36),X34)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),c_Relation_OImage(X36,X36,X35,X34),c_Relation_OImage(X36,X36,X35,X33))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),X33,c_Relation_OField(X36,X35))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),X34,c_Relation_OField(X36,X35))
        | ~ c_Order__Relation_Opreorder__on(X36,c_Relation_OField(X36,X35),X35) )
      & ( ~ c_member(X36,X40,X33)
        | ~ c_member(tc_prod(X36,X36),c_Product__Type_OPair(X36,X36,X40,esk85_4(X33,X34,X35,X36)),X35)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),c_Relation_OImage(X36,X36,X35,X34),c_Relation_OImage(X36,X36,X35,X33))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),X33,c_Relation_OField(X36,X35))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X36,tc_HOL_Obool),X34,c_Relation_OField(X36,X35))
        | ~ c_Order__Relation_Opreorder__on(X36,c_Relation_OField(X36,X35),X35) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_539])])])])]) ).

fof(c_0_1062,plain,
    ! [X65,X66,X67,X68,X69] :
      ( ~ c_Wellfounded_Owf(X66,X68)
      | hAPP(c_Recdef_Owfrec(X66,X65,X68,X67),X69) = hAPP(hAPP(X67,c_Recdef_Ocut(X66,X65,c_Recdef_Owfrec(X66,X65,X68,X67),X68,X69)),X69) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_540])])]) ).

fof(c_0_1063,plain,
    ! [X64,X65,X66,X67,X68] :
      ( ~ c_Wellfounded_Owf(X68,X67)
      | hAPP(c_Recdef_Owfrec(X68,X66,X67,X65),X64) = hAPP(hAPP(X65,c_Recdef_Ocut(X68,X66,c_Recdef_Owfrec(X68,X66,X67,X65),X67,X64)),X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_541])]) ).

fof(c_0_1064,plain,
    ! [X31,X32,X33,X34,X35,X36] : c_Product__Type_Ocurry(X36,X35,X34,X33,X32,X31) = hAPP(X33,c_Product__Type_OPair(X36,X35,X32,X31)),
    inference(variable_rename,[status(thm)],[c_0_542]) ).

fof(c_0_1065,plain,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47] :
      ( ( X37 = X35
        | c_member(tc_prod(X39,X39),c_Product__Type_OPair(X39,X39,X37,X35),X33)
        | ~ c_member(tc_prod(tc_prod(X39,X38),tc_prod(X39,X38)),c_Product__Type_OPair(tc_prod(X39,X38),tc_prod(X39,X38),c_Product__Type_OPair(X39,X38,X37,X36),c_Product__Type_OPair(X39,X38,X35,X34)),c_Wellfounded_Olex__prod(X39,X38,X33,X32)) )
      & ( c_member(tc_prod(X38,X38),c_Product__Type_OPair(X38,X38,X36,X34),X32)
        | c_member(tc_prod(X39,X39),c_Product__Type_OPair(X39,X39,X37,X35),X33)
        | ~ c_member(tc_prod(tc_prod(X39,X38),tc_prod(X39,X38)),c_Product__Type_OPair(tc_prod(X39,X38),tc_prod(X39,X38),c_Product__Type_OPair(X39,X38,X37,X36),c_Product__Type_OPair(X39,X38,X35,X34)),c_Wellfounded_Olex__prod(X39,X38,X33,X32)) )
      & ( ~ c_member(tc_prod(X47,X47),c_Product__Type_OPair(X47,X47,X45,X43),X41)
        | c_member(tc_prod(tc_prod(X47,X46),tc_prod(X47,X46)),c_Product__Type_OPair(tc_prod(X47,X46),tc_prod(X47,X46),c_Product__Type_OPair(X47,X46,X45,X44),c_Product__Type_OPair(X47,X46,X43,X42)),c_Wellfounded_Olex__prod(X47,X46,X41,X40)) )
      & ( X45 != X43
        | ~ c_member(tc_prod(X46,X46),c_Product__Type_OPair(X46,X46,X44,X42),X40)
        | c_member(tc_prod(tc_prod(X47,X46),tc_prod(X47,X46)),c_Product__Type_OPair(tc_prod(X47,X46),tc_prod(X47,X46),c_Product__Type_OPair(X47,X46,X45,X44),c_Product__Type_OPair(X47,X46,X43,X42)),c_Wellfounded_Olex__prod(X47,X46,X41,X40)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_543])])])])]) ).

fof(c_0_1066,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ( c_member(tc_prod(X19,X21),c_Product__Type_OPair(X19,X21,esk88_5(X17,X18,X19,X20,X21),X20),X18)
        | ~ c_member(X21,X20,c_Relation_OImage(X19,X21,X18,X17)) )
      & ( c_member(X19,esk88_5(X17,X18,X19,X20,X21),X17)
        | ~ c_member(X21,X20,c_Relation_OImage(X19,X21,X18,X17)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_544])])])]) ).

fof(c_0_1067,plain,
    ! [X17,X18,X19,X20,X21,X23,X24,X25,X26,X27,X28] :
      ( ( c_member(X19,esk83_5(X17,X18,X19,X20,X21),X17)
        | ~ c_member(X21,X20,c_Relation_OImage(X19,X21,X18,X17)) )
      & ( c_member(tc_prod(X19,X21),c_Product__Type_OPair(X19,X21,esk83_5(X17,X18,X19,X20,X21),X20),X18)
        | ~ c_member(X21,X20,c_Relation_OImage(X19,X21,X18,X17)) )
      & ( ~ c_member(X25,X28,X23)
        | ~ c_member(tc_prod(X25,X27),c_Product__Type_OPair(X25,X27,X28,X26),X24)
        | c_member(X27,X26,c_Relation_OImage(X25,X27,X24,X23)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_545])])])])])]) ).

fof(c_0_1068,axiom,
    c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    c_0_546 ).

fof(c_0_1069,axiom,
    c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    c_0_547 ).

fof(c_0_1070,plain,
    ! [X37,X38,X39,X40] : c_Nitpick_Ofold__graph_H(X40,X39,X38,X37,c_Orderings_Obot__class_Obot(tc_fun(X40,tc_HOL_Obool)),X37),
    inference(variable_rename,[status(thm)],[c_0_548]) ).

fof(c_0_1071,plain,
    ! [X40,X41,X42,X43] : c_Nitpick_Ofold__graph_H(X43,X42,X41,X40,c_Orderings_Obot__class_Obot(tc_fun(X43,tc_HOL_Obool)),X40),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_1072,plain,
    ! [X55,X56,X57,X58] :
      ( c_Relation_Orel__comp(X58,X58,X58,X57,X56) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X58,X58),tc_HOL_Obool))
      | c_Relation_Orel__comp(X58,X58,X58,X57,X55) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X58,X58),tc_HOL_Obool))
      | c_Relation_Orel__comp(X58,X58,X58,X57,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),X56,X55)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X58,X58),tc_HOL_Obool)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_550])]) ).

fof(c_0_1073,plain,
    ! [X64,X65,X66,X67,X68,X69] :
      ( X69 != c_Recdef_Owfrec(X68,X67,X66,X65)
      | ~ c_Wellfounded_Owf(X68,X66)
      | hAPP(X69,X64) = hAPP(hAPP(X65,c_Recdef_Ocut(X68,X67,X69,X66,X64)),X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_551])]) ).

fof(c_0_1074,plain,
    ! [X56,X57,X58] :
      ( ~ c_Wellfounded_Owf(X58,X57)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),c_Relation_Orel__comp(X58,X58,X58,X57,X56),X57)
      | c_FunDef_Oreduction__pair(X58,c_Product__Type_OPair(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),tc_fun(tc_prod(X58,X58),tc_HOL_Obool),X57,X56)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_552])]) ).

fof(c_0_1075,plain,
    ! [X32,X33,X34,X35,X36,X37,X38,X39] :
      ( ~ c_member(tc_prod(X39,X38),c_Product__Type_OPair(X39,X38,X37,X36),X35)
      | ~ c_member(tc_prod(X38,X34),c_Product__Type_OPair(X38,X34,X36,X33),X32)
      | c_member(tc_prod(X39,X34),c_Product__Type_OPair(X39,X34,X37,X33),c_Relation_Orel__comp(X39,X38,X34,X35,X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_553])]) ).

fof(c_0_1076,plain,
    ! [X85,X86,X87,X88] :
      ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X88,X87)
      | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X88,X86),c_FunDef_Opair__leq)
      | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X87,X85),c_FunDef_Omin__weak)
      | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X87,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X86,X85)),c_FunDef_Omin__weak) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_554])]) ).

fof(c_0_1077,plain,
    ! [X85,X86,X87,X88] :
      ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X88,X87)
      | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X86,X88),c_FunDef_Opair__leq)
      | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X85,X87),c_FunDef_Omax__weak)
      | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X86,X85),X87),c_FunDef_Omax__weak) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_555])]) ).

fof(c_0_1078,plain,
    ! [X85,X86,X87,X88] :
      ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X88,X87)
      | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X88,X86),c_FunDef_Opair__less)
      | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X87,X85),c_FunDef_Omin__strict)
      | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X87,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X86,X85)),c_FunDef_Omin__strict) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_556])]) ).

fof(c_0_1079,plain,
    ! [X83,X84,X85,X86] :
      ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X86,X85)
      | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X84,X86),c_FunDef_Opair__less)
      | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X83,X85),c_FunDef_Omax__strict)
      | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X84,X83),X85),c_FunDef_Omax__strict) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_557])]) ).

fof(c_0_1080,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( ~ hBOOL(hAPP(X25,X24))
      | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),hAPP(X20,X24))
      | c_member(tc_prod(tc_prod(X19,X23),tc_prod(X19,X23)),c_Product__Type_OPair(tc_prod(X19,X23),tc_prod(X19,X23),c_Product__Type_OPair(X19,X23,X24,X22),c_Product__Type_OPair(X19,X23,X24,X21)),c_Recdef_Osame__fst(X19,X23,X25,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_558])]) ).

fof(c_0_1081,plain,
    ! [X11,X12,X13,X14] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))),c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X11,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))))
        | c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X11,X12),X13)
        | ~ c_member(X14,X11,c_Relation_OField(X14,X13))
        | ~ c_member(X14,X12,c_Relation_OField(X14,X13))
        | ~ c_Order__Relation_Opreorder__on(X14,c_Relation_OField(X14,X13),X13) )
      & ( ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X11,X12),X13)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))),c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X11,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))))
        | ~ c_member(X14,X11,c_Relation_OField(X14,X13))
        | ~ c_member(X14,X12,c_Relation_OField(X14,X13))
        | ~ c_Order__Relation_Opreorder__on(X14,c_Relation_OField(X14,X13),X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_559])])]) ).

fof(c_0_1082,plain,
    ! [X67,X68,X69,X70,X71,X72] :
      ( ~ c_member(tc_prod(tc_fun(X72,tc_HOL_Obool),tc_fun(X72,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X72,tc_HOL_Obool),tc_fun(X72,tc_HOL_Obool),X71,X70),c_Wellfounded_Omax__ext(X72,X69))
      | ~ c_member(tc_prod(tc_fun(X72,tc_HOL_Obool),tc_fun(X72,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X72,tc_HOL_Obool),tc_fun(X72,tc_HOL_Obool),X68,X67),c_Wellfounded_Omax__ext(X72,X69))
      | c_member(tc_prod(tc_fun(X72,tc_HOL_Obool),tc_fun(X72,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X72,tc_HOL_Obool),tc_fun(X72,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X72,tc_HOL_Obool),X71,X68),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X72,tc_HOL_Obool),X70,X67)),c_Wellfounded_Omax__ext(X72,X69)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_560])]) ).

fof(c_0_1083,plain,
    ! [X13,X14,X15,X16,X17] :
      ( ~ c_Equiv__Relations_Oequiv(X17,X16,X15)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X17,tc_HOL_Obool),c_Relation_OImage(X17,X17,X15,c_Set_Oinsert(X17,X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool)))),c_Relation_OImage(X17,X17,X15,c_Set_Oinsert(X17,X13,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool)))))
      | ~ c_member(X17,X14,X16)
      | c_member(tc_prod(X17,X17),c_Product__Type_OPair(X17,X17,X13,X14),X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_561])]) ).

fof(c_0_1084,plain,
    ! [X19,X20,X21,X22,X24,X25,X26,X27,X28,X29,X32] :
      ( ( ~ c_member(X22,X24,X21)
        | hBOOL(hAPP(X19,X24))
        | c_member(X22,esk62_4(X19,X20,X21,X22),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X22,tc_HOL_Obool),X21,X20)) )
      & ( ~ c_member(X22,X25,X20)
        | hBOOL(hAPP(X19,X25))
        | c_member(X22,esk62_4(X19,X20,X21,X22),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X22,tc_HOL_Obool),X21,X20)) )
      & ( ~ c_member(X22,X24,X21)
        | hBOOL(hAPP(X19,X24))
        | ~ hBOOL(hAPP(X19,esk62_4(X19,X20,X21,X22))) )
      & ( ~ c_member(X22,X25,X20)
        | hBOOL(hAPP(X19,X25))
        | ~ hBOOL(hAPP(X19,esk62_4(X19,X20,X21,X22))) )
      & ( c_member(X29,esk64_4(X26,X27,X28,X29),X27)
        | c_member(X29,esk63_4(X26,X27,X28,X29),X28)
        | ~ c_member(X29,X32,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X29,tc_HOL_Obool),X28,X27))
        | hBOOL(hAPP(X26,X32)) )
      & ( ~ hBOOL(hAPP(X26,esk64_4(X26,X27,X28,X29)))
        | c_member(X29,esk63_4(X26,X27,X28,X29),X28)
        | ~ c_member(X29,X32,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X29,tc_HOL_Obool),X28,X27))
        | hBOOL(hAPP(X26,X32)) )
      & ( c_member(X29,esk64_4(X26,X27,X28,X29),X27)
        | ~ hBOOL(hAPP(X26,esk63_4(X26,X27,X28,X29)))
        | ~ c_member(X29,X32,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X29,tc_HOL_Obool),X28,X27))
        | hBOOL(hAPP(X26,X32)) )
      & ( ~ hBOOL(hAPP(X26,esk64_4(X26,X27,X28,X29)))
        | ~ hBOOL(hAPP(X26,esk63_4(X26,X27,X28,X29)))
        | ~ c_member(X29,X32,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X29,tc_HOL_Obool),X28,X27))
        | hBOOL(hAPP(X26,X32)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_562])])])])])]) ).

fof(c_0_1085,plain,
    ! [X15,X16,X17,X18] :
      ( c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,esk54_4(X15,X16,X17,X18),esk54_4(X15,X16,X17,X18)),c_Transitive__Closure_Otrancl(X18,X17))
      | ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X16,X15),X17)
      | X16 != X15 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_563])])]) ).

fof(c_0_1086,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X19,X20),X18,X17)
        | c_Orderings_Oord__class_Oless__eq(X20,hAPP(X18,X21),hAPP(X17,X21))
        | ~ class_Orderings_Oord(X20) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X20,hAPP(X18,esk80_4(X17,X18,X19,X20)),hAPP(X17,esk80_4(X17,X18,X19,X20)))
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X19,X20),X18,X17)
        | ~ class_Orderings_Oord(X20) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_564])])])])]) ).

fof(c_0_1087,plain,
    ! [X53,X54,X55,X56,X57,X58] :
      ( ~ c_member(tc_prod(X56,X56),c_Product__Type_OPair(X56,X56,X55,X54),X58)
      | hAPP(c_Recdef_Ocut(X56,X53,X57,X58,X54),X55) = hAPP(X57,X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_565])]) ).

fof(c_0_1088,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( ~ c_member(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X21,X20),X19)
      | hAPP(c_Recdef_Ocut(X22,X18,X17,X19,X20),X21) = hAPP(X17,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_566])]) ).

fof(c_0_1089,plain,
    ! [X40,X41,X42,X43,X44] :
      ( ~ c_Relation_Osingle__valued(X44,X44,X43)
      | ~ c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X42,X41),c_Transitive__Closure_Ortrancl(X44,X43))
      | ~ c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X42,X40),c_Transitive__Closure_Ortrancl(X44,X43))
      | c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X41,X40),c_Transitive__Closure_Ortrancl(X44,X43))
      | c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X40,X41),c_Transitive__Closure_Ortrancl(X44,X43)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_567])]) ).

fof(c_0_1090,plain,
    ! [X54,X55,X56,X57] :
      ( ( c_member(tc_prod(X57,X57),c_Product__Type_OPair(X57,X57,X56,esk56_4(X54,X55,X56,X57)),c_Transitive__Closure_Otrancl(X57,X54))
        | c_member(tc_prod(X57,X57),c_Product__Type_OPair(X57,X57,X56,X55),X54)
        | ~ c_member(tc_prod(X57,X57),c_Product__Type_OPair(X57,X57,X56,X55),c_Transitive__Closure_Otrancl(X57,X54)) )
      & ( c_member(tc_prod(X57,X57),c_Product__Type_OPair(X57,X57,esk56_4(X54,X55,X56,X57),X55),X54)
        | c_member(tc_prod(X57,X57),c_Product__Type_OPair(X57,X57,X56,X55),X54)
        | ~ c_member(tc_prod(X57,X57),c_Product__Type_OPair(X57,X57,X56,X55),c_Transitive__Closure_Otrancl(X57,X54)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_568])])])]) ).

fof(c_0_1091,plain,
    ! [X40,X41,X42,X43] :
      ( ( c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,X42,esk55_4(X40,X41,X42,X43)),X40)
        | c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,X42,X41),X40)
        | ~ c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,X42,X41),c_Transitive__Closure_Otrancl(X43,X40)) )
      & ( c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,esk55_4(X40,X41,X42,X43),X41),c_Transitive__Closure_Otrancl(X43,X40))
        | c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,X42,X41),X40)
        | ~ c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,X42,X41),c_Transitive__Closure_Otrancl(X43,X40)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_569])])])]) ).

fof(c_0_1092,plain,
    ! [X23,X24,X25,X27,X28,X29,X30,X31,X34] :
      ( ( ~ hBOOL(hAPP(X25,esk6_3(X23,X24,X25)))
        | hBOOL(hAPP(X25,c_Product__Type_OPair(X24,X23,X27,X28))) )
      & ( ~ hBOOL(hAPP(X31,c_Product__Type_OPair(X30,X29,esk7_3(X29,X30,X31),esk8_3(X29,X30,X31))))
        | hBOOL(hAPP(X31,X34)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_570])])])])]) ).

fof(c_0_1093,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)),
    c_0_571 ).

fof(c_0_1094,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)),
    c_0_572 ).

fof(c_0_1095,plain,
    ! [X81,X82,X83,X84] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84,X83)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X81)
      | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X84,X82),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X83,X81)),c_FunDef_Opair__leq) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_573])]) ).

fof(c_0_1096,plain,
    ! [X81,X82,X83,X84] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84,X83)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X82,X81)
      | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X84,X82),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X83,X81)),c_FunDef_Opair__less) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_574])]) ).

fof(c_0_1097,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( c_Wellfounded_Owf(X18,X15)
        | ~ c_Wellfounded_Owf(X18,c_Set_Oinsert(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X17,X16),X15)) )
      & ( ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X16,X17),c_Transitive__Closure_Ortrancl(X18,X15))
        | ~ c_Wellfounded_Owf(X18,c_Set_Oinsert(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X17,X16),X15)) )
      & ( ~ c_Wellfounded_Owf(X22,X19)
        | c_member(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X20,X21),c_Transitive__Closure_Ortrancl(X22,X19))
        | c_Wellfounded_Owf(X22,c_Set_Oinsert(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X21,X20),X19)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_575])])])])]) ).

fof(c_0_1098,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( c_Wellfounded_Oacyclic(X18,X15)
        | ~ c_Wellfounded_Oacyclic(X18,c_Set_Oinsert(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X17,X16),X15)) )
      & ( ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X16,X17),c_Transitive__Closure_Ortrancl(X18,X15))
        | ~ c_Wellfounded_Oacyclic(X18,c_Set_Oinsert(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X17,X16),X15)) )
      & ( ~ c_Wellfounded_Oacyclic(X22,X19)
        | c_member(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X20,X21),c_Transitive__Closure_Ortrancl(X22,X19))
        | c_Wellfounded_Oacyclic(X22,c_Set_Oinsert(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X21,X20),X19)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_576])])])])]) ).

fof(c_0_1099,plain,
    ! [X81,X82,X83,X84] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X84,X83)
      | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X84,X82),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X83,X81)),c_FunDef_Opair__leq) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_577])]) ).

fof(c_0_1100,plain,
    ! [X81,X82,X83,X84] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X84,X83)
      | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X84,X82),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X83,X81)),c_FunDef_Opair__less) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_578])]) ).

fof(c_0_1101,plain,
    ! [X6,X7] : c_Transitive__Closure_Ortrancl(X7,X6) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X7,X7),tc_HOL_Obool),c_Relation_OId(X7),c_Relation_Orel__comp(X7,X7,X7,c_Transitive__Closure_Ortrancl(X7,X6),X6)),
    inference(variable_rename,[status(thm)],[c_0_579]) ).

fof(c_0_1102,plain,
    ! [X40,X41,X42,X43] :
      ( ( c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,X42,esk45_4(X40,X41,X42,X43)),X40)
        | X42 = X41
        | ~ c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,X42,X41),c_Transitive__Closure_Ortrancl(X43,X40)) )
      & ( c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,esk45_4(X40,X41,X42,X43),X41),c_Transitive__Closure_Ortrancl(X43,X40))
        | X42 = X41
        | ~ c_member(tc_prod(X43,X43),c_Product__Type_OPair(X43,X43,X42,X41),c_Transitive__Closure_Ortrancl(X43,X40)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_580])])])]) ).

fof(c_0_1103,plain,
    ! [X11,X12,X13,X14] :
      ( ( c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,esk44_4(X11,X12,X13,X14)),c_Transitive__Closure_Ortrancl(X14,X11))
        | X13 = X12
        | ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,X12),c_Transitive__Closure_Ortrancl(X14,X11)) )
      & ( c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,esk44_4(X11,X12,X13,X14),X12),X11)
        | X13 = X12
        | ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,X12),c_Transitive__Closure_Ortrancl(X14,X11)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_581])])])]) ).

fof(c_0_1104,plain,
    ! [X16,X17,X18,X19] :
      ( ( c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,esk52_4(X16,X17,X18,X19)),X16)
        | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Otrancl(X19,X16)) )
      & ( c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,esk52_4(X16,X17,X18,X19),X17),c_Transitive__Closure_Ortrancl(X19,X16))
        | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Otrancl(X19,X16)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_582])])])]) ).

fof(c_0_1105,plain,
    ! [X16,X17,X18,X19] :
      ( ( c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,esk51_4(X16,X17,X18,X19)),c_Transitive__Closure_Ortrancl(X19,X16))
        | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Otrancl(X19,X16)) )
      & ( c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,esk51_4(X16,X17,X18,X19),X17),X16)
        | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Otrancl(X19,X16)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_583])])])]) ).

fof(c_0_1106,plain,
    ! [X40,X41,X42,X43,X44] :
      ( ~ c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X43,X42),c_Transitive__Closure_Ortrancl(X44,X41))
      | ~ c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X42,X40),c_Transitive__Closure_Otrancl(X44,X41))
      | c_member(tc_prod(X44,X44),c_Product__Type_OPair(X44,X44,X43,X40),c_Transitive__Closure_Otrancl(X44,X41)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_584])]) ).

fof(c_0_1107,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),c_Transitive__Closure_Otrancl(X15,X12))
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),c_Transitive__Closure_Ortrancl(X15,X12))
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Otrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_585])]) ).

fof(c_0_1108,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),c_Transitive__Closure_Otrancl(X15,X12))
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),c_Transitive__Closure_Otrancl(X15,X12))
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Otrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_586])]) ).

fof(c_0_1109,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),c_Transitive__Closure_Ortrancl(X15,X12))
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),c_Transitive__Closure_Ortrancl(X15,X12))
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Ortrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_587])]) ).

fof(c_0_1110,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),c_Transitive__Closure_Ortrancl(X15,X12))
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),X12)
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Otrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_588])]) ).

fof(c_0_1111,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),X12)
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),c_Transitive__Closure_Ortrancl(X15,X12))
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Otrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_589])]) ).

fof(c_0_1112,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),c_Transitive__Closure_Otrancl(X15,X12))
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),X12)
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Otrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_590])]) ).

fof(c_0_1113,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),X12)
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),c_Transitive__Closure_Otrancl(X15,X12))
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Otrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_591])]) ).

fof(c_0_1114,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),c_Transitive__Closure_Ortrancl(X15,X12))
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),X12)
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Ortrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_592])]) ).

fof(c_0_1115,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X13),X12)
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),c_Transitive__Closure_Ortrancl(X15,X12))
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X14,X11),c_Transitive__Closure_Ortrancl(X15,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_593])]) ).

fof(c_0_1116,plain,
    ! [X19,X20,X21,X22,X23,X26,X27,X28,X29,X30,X31] :
      ( ( c_member(X22,esk60_4(X19,X20,X21,X22),X20)
        | c_member(X22,esk59_4(X19,X20,X21,X22),X21)
        | ~ c_member(X22,X23,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X22,tc_HOL_Obool),X21,X20))
        | ~ hBOOL(hAPP(X19,X23)) )
      & ( hBOOL(hAPP(X19,esk60_4(X19,X20,X21,X22)))
        | c_member(X22,esk59_4(X19,X20,X21,X22),X21)
        | ~ c_member(X22,X23,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X22,tc_HOL_Obool),X21,X20))
        | ~ hBOOL(hAPP(X19,X23)) )
      & ( c_member(X22,esk60_4(X19,X20,X21,X22),X20)
        | hBOOL(hAPP(X19,esk59_4(X19,X20,X21,X22)))
        | ~ c_member(X22,X23,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X22,tc_HOL_Obool),X21,X20))
        | ~ hBOOL(hAPP(X19,X23)) )
      & ( hBOOL(hAPP(X19,esk60_4(X19,X20,X21,X22)))
        | hBOOL(hAPP(X19,esk59_4(X19,X20,X21,X22)))
        | ~ c_member(X22,X23,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X22,tc_HOL_Obool),X21,X20))
        | ~ hBOOL(hAPP(X19,X23)) )
      & ( c_member(X29,esk61_4(X26,X27,X28,X29),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X29,tc_HOL_Obool),X28,X27))
        | ~ c_member(X29,X30,X28)
        | ~ hBOOL(hAPP(X26,X30)) )
      & ( hBOOL(hAPP(X26,esk61_4(X26,X27,X28,X29)))
        | ~ c_member(X29,X30,X28)
        | ~ hBOOL(hAPP(X26,X30)) )
      & ( c_member(X29,esk61_4(X26,X27,X28,X29),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X29,tc_HOL_Obool),X28,X27))
        | ~ c_member(X29,X31,X27)
        | ~ hBOOL(hAPP(X26,X31)) )
      & ( hBOOL(hAPP(X26,esk61_4(X26,X27,X28,X29)))
        | ~ c_member(X29,X31,X27)
        | ~ hBOOL(hAPP(X26,X31)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_594])])])])])]) ).

fof(c_0_1117,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ c_member(tc_prod(X20,X20),c_Product__Type_OPair(X20,X20,X19,X18),X17)
      | ~ c_member(tc_prod(X20,X20),c_Product__Type_OPair(X20,X20,X18,X16),X17)
      | c_member(tc_prod(X20,X20),c_Product__Type_OPair(X20,X20,X19,X16),c_Transitive__Closure_Otrancl(X20,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_595])]) ).

fof(c_0_1118,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ c_Relation_Otrans(X15,X14)
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X12),X14)
      | ~ c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X12,X11),X14)
      | c_member(tc_prod(X15,X15),c_Product__Type_OPair(X15,X15,X13,X11),X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_596])]) ).

fof(c_0_1119,plain,
    ! [X8,X9,X10,X11,X12,X13,X14] :
      ( ( ~ c_Relation_Otrans(X9,X8)
        | ~ c_member(tc_prod(X9,X9),c_Product__Type_OPair(X9,X9,X10,X11),X8)
        | ~ c_member(tc_prod(X9,X9),c_Product__Type_OPair(X9,X9,X11,X12),X8)
        | c_member(tc_prod(X9,X9),c_Product__Type_OPair(X9,X9,X10,X12),X8) )
      & ( c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,esk2_2(X13,X14),esk3_2(X13,X14)),X13)
        | c_Relation_Otrans(X14,X13) )
      & ( c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,esk3_2(X13,X14),esk4_2(X13,X14)),X13)
        | c_Relation_Otrans(X14,X13) )
      & ( ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,esk2_2(X13,X14),esk4_2(X13,X14)),X13)
        | c_Relation_Otrans(X14,X13) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_597])])])])])]) ).

fof(c_0_1120,plain,
    ! [X19,X20,X21,X22] :
      ( ( hBOOL(hAPP(X22,esk76_4(X19,X20,X21,X22)))
        | c_Wellfounded_Owf(tc_prod(X19,X21),c_Recdef_Osame__fst(X19,X21,X22,X20)) )
      & ( ~ c_Wellfounded_Owf(X21,hAPP(X20,esk76_4(X19,X20,X21,X22)))
        | c_Wellfounded_Owf(tc_prod(X19,X21),c_Recdef_Osame__fst(X19,X21,X22,X20)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_598])])])]) ).

fof(c_0_1121,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( ( ~ c_member(X21,X20,c_Relation_OImage(X19,X21,X18,c_Set_Oinsert(X19,X17,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_HOL_Obool)))))
        | c_member(tc_prod(X19,X21),c_Product__Type_OPair(X19,X21,X17,X20),X18) )
      & ( ~ c_member(tc_prod(X24,X26),c_Product__Type_OPair(X24,X26,X22,X25),X23)
        | c_member(X26,X25,c_Relation_OImage(X24,X26,X23,c_Set_Oinsert(X24,X22,c_Orderings_Obot__class_Obot(tc_fun(X24,tc_HOL_Obool))))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_599])])])]) ).

fof(c_0_1122,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
      ( ( ~ c_member(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X21,X20),hAPP(c_Relation_Oinv__image(X19,X22,X18),X17))
        | c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,hAPP(X17,X21),hAPP(X17,X20)),X18) )
      & ( ~ c_member(tc_prod(X25,X25),c_Product__Type_OPair(X25,X25,hAPP(X23,X27),hAPP(X23,X26)),X24)
        | c_member(tc_prod(X28,X28),c_Product__Type_OPair(X28,X28,X27,X26),hAPP(c_Relation_Oinv__image(X25,X28,X24),X23)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_600])])])]) ).

fof(c_0_1123,plain,
    ! [X20,X21,X22] :
      ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X20),X22)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X20,X21),X22)
        | X21 = X20
        | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X22,c_Arrow__Order__Mirabelle_OLin) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X20,X21),X22)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X20),X22)
        | X21 = X20
        | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X22,c_Arrow__Order__Mirabelle_OLin) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_601])])]) ).

fof(c_0_1124,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24,X25] :
      ( ( ~ c_Relation_Osingle__valued(X19,X18,X17)
        | ~ c_member(tc_prod(X19,X18),c_Product__Type_OPair(X19,X18,X20,X21),X17)
        | ~ c_member(tc_prod(X19,X18),c_Product__Type_OPair(X19,X18,X20,X22),X17)
        | X21 = X22 )
      & ( c_member(tc_prod(X25,X24),c_Product__Type_OPair(X25,X24,esk28_3(X23,X24,X25),esk29_3(X23,X24,X25)),X23)
        | c_Relation_Osingle__valued(X25,X24,X23) )
      & ( c_member(tc_prod(X25,X24),c_Product__Type_OPair(X25,X24,esk28_3(X23,X24,X25),esk30_3(X23,X24,X25)),X23)
        | c_Relation_Osingle__valued(X25,X24,X23) )
      & ( esk29_3(X23,X24,X25) != esk30_3(X23,X24,X25)
        | c_Relation_Osingle__valued(X25,X24,X23) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_602])])])])])]) ).

fof(c_0_1125,plain,
    ! [X40,X41,X42,X43,X44,X45] :
      ( ~ c_Relation_Osingle__valued(X45,X44,X43)
      | ~ c_member(tc_prod(X45,X44),c_Product__Type_OPair(X45,X44,X42,X41),X43)
      | ~ c_member(tc_prod(X45,X44),c_Product__Type_OPair(X45,X44,X42,X40),X43)
      | X41 = X40 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_603])]) ).

fof(c_0_1126,plain,
    ! [X11,X12,X13,X14] :
      ( ( c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))) != c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X11,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))))
        | X12 = X11
        | ~ c_member(X14,X11,c_Relation_OField(X14,X13))
        | ~ c_member(X14,X12,c_Relation_OField(X14,X13))
        | ~ c_Relation_Oantisym(X14,X13)
        | ~ c_Relation_Orefl__on(X14,c_Relation_OField(X14,X13),X13) )
      & ( X12 != X11
        | c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))) = c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X11,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))))
        | ~ c_member(X14,X11,c_Relation_OField(X14,X13))
        | ~ c_member(X14,X12,c_Relation_OField(X14,X13))
        | ~ c_Relation_Oantisym(X14,X13)
        | ~ c_Relation_Orefl__on(X14,c_Relation_OField(X14,X13),X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_604])])]) ).

fof(c_0_1127,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( ~ c_Relation_Oantisym(X8,X7)
        | ~ c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X9,X10),X7)
        | ~ c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,X10,X9),X7)
        | X9 = X10 )
      & ( c_member(tc_prod(X12,X12),c_Product__Type_OPair(X12,X12,esk65_2(X11,X12),esk66_2(X11,X12)),X11)
        | c_Relation_Oantisym(X12,X11) )
      & ( c_member(tc_prod(X12,X12),c_Product__Type_OPair(X12,X12,esk66_2(X11,X12),esk65_2(X11,X12)),X11)
        | c_Relation_Oantisym(X12,X11) )
      & ( esk65_2(X11,X12) != esk66_2(X11,X12)
        | c_Relation_Oantisym(X12,X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_605])])])])])]) ).

fof(c_0_1128,plain,
    ! [X11,X12,X13,X14] :
      ( ~ c_Relation_Oantisym(X14,X13)
      | ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X12,X11),X13)
      | ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X11,X12),X13)
      | X12 = X11 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_606])]) ).

fof(c_0_1129,plain,
    ! [X15,X16,X17,X18] :
      ( ~ c_Wellfounded_Owf(X18,X17)
      | ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X16,X15),X17)
      | ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X15,X16),X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_607])]) ).

fof(c_0_1130,plain,
    ! [X15,X16,X17,X18] :
      ( ~ c_Wellfounded_Owf(X18,X17)
      | ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X16,X15),X17)
      | ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X15,X16),X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_608])]) ).

fof(c_0_1131,plain,
    ! [X11,X12,X13,X14] :
      ( ( c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))) != c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X11,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))))
        | X12 = X11
        | ~ c_member(X14,X11,c_Relation_OField(X14,X13))
        | ~ c_member(X14,X12,c_Relation_OField(X14,X13))
        | ~ c_Order__Relation_Opartial__order__on(X14,c_Relation_OField(X14,X13),X13) )
      & ( X12 != X11
        | c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))) = c_Relation_OImage(X14,X14,X13,c_Set_Oinsert(X14,X11,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))))
        | ~ c_member(X14,X11,c_Relation_OField(X14,X13))
        | ~ c_member(X14,X12,c_Relation_OField(X14,X13))
        | ~ c_Order__Relation_Opartial__order__on(X14,c_Relation_OField(X14,X13),X13) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_609])])]) ).

fof(c_0_1132,plain,
    ! [X17,X18,X19,X20] :
      ( ~ c_member(X20,X19,c_Relation_ODomain(X20,X18,X17))
      | c_member(tc_prod(X20,X18),c_Product__Type_OPair(X20,X18,X19,esk19_4(X17,X18,X19,X20)),X17) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_610])])]) ).

fof(c_0_1133,plain,
    ! [X17,X18,X19,X20] :
      ( ~ c_member(X20,X19,c_Relation_ORange(X18,X20,X17))
      | c_member(tc_prod(X18,X20),c_Product__Type_OPair(X18,X20,esk18_4(X17,X18,X19,X20),X19),X17) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_611])])]) ).

fof(c_0_1134,plain,
    ! [X17,X18,X19,X20,X22,X23,X24,X25,X26] :
      ( ( ~ c_member(X20,X19,c_Relation_ORange(X18,X20,X17))
        | c_member(tc_prod(X18,X20),c_Product__Type_OPair(X18,X20,esk16_4(X17,X18,X19,X20),X19),X17) )
      & ( ~ c_member(tc_prod(X23,X25),c_Product__Type_OPair(X23,X25,X26,X24),X22)
        | c_member(X25,X24,c_Relation_ORange(X23,X25,X22)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_612])])])])]) ).

fof(c_0_1135,plain,
    ! [X17,X18,X19,X20,X22,X23,X24,X25,X26] :
      ( ( ~ c_member(X20,X19,c_Relation_ODomain(X20,X18,X17))
        | c_member(tc_prod(X20,X18),c_Product__Type_OPair(X20,X18,X19,esk15_4(X17,X18,X19,X20)),X17) )
      & ( ~ c_member(tc_prod(X25,X23),c_Product__Type_OPair(X25,X23,X24,X26),X22)
        | c_member(X25,X24,c_Relation_ODomain(X25,X23,X22)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_613])])])])]) ).

fof(c_0_1136,plain,
    ! [X11,X12,X13,X14] : c_Relation_OField(X14,c_Set_Oinsert(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,X12),X11)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X14,tc_HOL_Obool),c_Set_Oinsert(X14,X13,c_Set_Oinsert(X14,X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))),c_Relation_OField(X14,X11)),
    inference(variable_rename,[status(thm)],[c_0_614]) ).

fof(c_0_1137,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X20,X19),hAPP(X20,X18))
      | ~ c_member(tc_prod(X17,X17),c_Product__Type_OPair(X17,X17,X19,X18),X16)
      | c_member(tc_prod(X17,X17),c_Product__Type_OPair(X17,X17,X19,X18),c_Wellfounded_Omlex__prod(X17,X20,X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_615])]) ).

fof(c_0_1138,plain,
    ! [X31,X32,X33,X34,X35,X36] : c_Product__Type_Ointernal__split(X36,X35,X34,X33,c_Product__Type_OPair(X36,X35,X32,X31)) = hAPP(hAPP(X33,X32),X31),
    inference(variable_rename,[status(thm)],[c_0_616]) ).

fof(c_0_1139,plain,
    ! [X31,X32,X33,X34,X35,X36] : c_Product__Type_Oprod_Oprod__rec(X36,X35,X34,X33,c_Product__Type_OPair(X36,X35,X32,X31)) = hAPP(hAPP(X33,X32),X31),
    inference(variable_rename,[status(thm)],[c_0_617]) ).

fof(c_0_1140,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40] :
      ( ( ~ c_Relation_Ototal__on(X35,X34,X33)
        | ~ c_member(X35,X36,X34)
        | ~ c_member(X35,X37,X34)
        | X36 = X37
        | c_member(tc_prod(X35,X35),c_Product__Type_OPair(X35,X35,X36,X37),X33)
        | c_member(tc_prod(X35,X35),c_Product__Type_OPair(X35,X35,X37,X36),X33) )
      & ( c_member(X40,esk13_3(X38,X39,X40),X39)
        | c_Relation_Ototal__on(X40,X39,X38) )
      & ( c_member(X40,esk14_3(X38,X39,X40),X39)
        | c_Relation_Ototal__on(X40,X39,X38) )
      & ( esk13_3(X38,X39,X40) != esk14_3(X38,X39,X40)
        | c_Relation_Ototal__on(X40,X39,X38) )
      & ( ~ c_member(tc_prod(X40,X40),c_Product__Type_OPair(X40,X40,esk13_3(X38,X39,X40),esk14_3(X38,X39,X40)),X38)
        | c_Relation_Ototal__on(X40,X39,X38) )
      & ( ~ c_member(tc_prod(X40,X40),c_Product__Type_OPair(X40,X40,esk14_3(X38,X39,X40),esk13_3(X38,X39,X40)),X38)
        | c_Relation_Ototal__on(X40,X39,X38) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_618])])])])])]) ).

fof(c_0_1141,plain,
    ! [X56,X57,X58,X59,X60] : c_Relation_OImage(X60,X59,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X60,X59),tc_HOL_Obool),X58,X57),X56) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X59,tc_HOL_Obool),c_Relation_OImage(X60,X59,X58,X56),c_Relation_OImage(X60,X59,X57,X56)),
    inference(variable_rename,[status(thm)],[c_0_619]) ).

fof(c_0_1142,plain,
    ! [X16,X17,X18,X19] :
      ( ( X18 != X17
        | X18 = X17
        | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Ortrancl(X19,X16)) )
      & ( c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Otrancl(X19,X16))
        | X18 = X17
        | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Ortrancl(X19,X16)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_620])])]) ).

fof(c_0_1143,plain,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( ( X18 != X17
        | X18 = X17
        | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Ortrancl(X19,X16)) )
      & ( c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Otrancl(X19,X16))
        | X18 = X17
        | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X17),c_Transitive__Closure_Ortrancl(X19,X16)) )
      & ( X22 != X21
        | c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) )
      & ( X22 = X21
        | ~ c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Otrancl(X23,X20))
        | c_member(tc_prod(X23,X23),c_Product__Type_OPair(X23,X23,X22,X21),c_Transitive__Closure_Ortrancl(X23,X20)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_621])])])])]) ).

fof(c_0_1144,plain,
    ! [X11,X12,X13,X14] :
      ( ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,X12),c_Transitive__Closure_Otrancl(X14,X11))
      | c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,X12),c_Transitive__Closure_Ortrancl(X14,X11)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_622])]) ).

fof(c_0_1145,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( ~ c_member(X22,X21,X20)
      | ~ c_member(tc_prod(X22,X19),c_Product__Type_OPair(X22,X19,X21,X18),X17)
      | c_member(X19,X18,c_Relation_OImage(X22,X19,X17,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_623])]) ).

fof(c_0_1146,plain,
    ! [X11,X12,X13,X14] :
      ( ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,X12),X11)
      | c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,X12),c_Transitive__Closure_Otrancl(X14,X11)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_624])]) ).

fof(c_0_1147,plain,
    ! [X17,X18,X19,X20,X21] : c_Relation_OImage(X21,X20,X19,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X21,tc_HOL_Obool),X18,X17)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X20,tc_HOL_Obool),c_Relation_OImage(X21,X20,X19,X18),c_Relation_OImage(X21,X20,X19,X17)),
    inference(variable_rename,[status(thm)],[c_0_625]) ).

fof(c_0_1148,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( ~ c_member(X18,X16,X15)
        | c_Orderings_Oord__class_Oless(tc_fun(X18,tc_HOL_Obool),X17,X15)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,X15)) )
      & ( ~ c_member(X18,X16,X17)
        | c_Orderings_Oord__class_Oless(tc_fun(X18,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)))),X15)
        | c_member(X18,X16,X15)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,X15)) )
      & ( c_member(X18,X16,X17)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,X15)
        | c_member(X18,X16,X15)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,X15)) )
      & ( ~ c_member(X22,X20,X19)
        | c_member(X22,X20,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_member(X22,X20,X21)
        | c_member(X22,X20,X21)
        | c_member(X22,X20,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | c_member(X22,X20,X21)
        | c_member(X22,X20,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_member(X22,X20,X21)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_HOL_Obool)))),X19)
        | c_member(X22,X20,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_HOL_Obool)))),X19)
        | c_member(X22,X20,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_member(X22,X20,X19)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_member(X22,X20,X21)
        | c_member(X22,X20,X21)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | c_member(X22,X20,X21)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_member(X22,X20,X21)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_HOL_Obool)))),X19)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_HOL_Obool)))),X19)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | c_Orderings_Oord__class_Oless(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_626])])])])]) ).

fof(c_0_1149,plain,
    ! [X66,X67,X68,X69,X71,X72,X73,X76] :
      ( ( c_member(X67,esk72_3(X66,X67,X68),X68)
        | ~ c_member(X67,X69,X68)
        | ~ c_Wellfounded_Owf(X67,X66) )
      & ( ~ c_member(tc_prod(X67,X67),c_Product__Type_OPair(X67,X67,X71,esk72_3(X66,X67,X68)),X66)
        | ~ c_member(X67,X71,X68)
        | ~ c_member(X67,X69,X68)
        | ~ c_Wellfounded_Owf(X67,X66) )
      & ( c_member(X73,esk74_2(X72,X73),esk73_2(X72,X73))
        | c_Wellfounded_Owf(X73,X72) )
      & ( c_member(tc_prod(X73,X73),c_Product__Type_OPair(X73,X73,esk75_3(X72,X73,X76),X76),X72)
        | ~ c_member(X73,X76,esk73_2(X72,X73))
        | c_Wellfounded_Owf(X73,X72) )
      & ( c_member(X73,esk75_3(X72,X73,X76),esk73_2(X72,X73))
        | ~ c_member(X73,X76,esk73_2(X72,X73))
        | c_Wellfounded_Owf(X73,X72) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_627])])])])])]) ).

fof(c_0_1150,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( ( ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X21,X20,X19),X18),X17))
        | c_member(tc_prod(X21,X20),c_Product__Type_OPair(X21,X20,X18,X17),X19) )
      & ( ~ c_member(tc_prod(X26,X25),c_Product__Type_OPair(X26,X25,X23,X22),X24)
        | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X26,X25,X24),X23),X22)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_628])])])]) ).

fof(c_0_1151,plain,
    ! [X82] :
      ( X82 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
      | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X82,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_629])]) ).

fof(c_0_1152,plain,
    ! [X87,X88,X89,X90,X91,X92] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X92,X91),tc_HOL_Obool),X90,X89)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X92,tc_HOL_Obool),X88,X87)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X91,tc_HOL_Obool),c_Relation_OImage(X92,X91,X90,X88),c_Relation_OImage(X92,X91,X89,X87)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_630])]) ).

fof(c_0_1153,plain,
    ! [X17,X18,X19,X20,X21] : c_Relation_ORange(X21,X20,c_Set_Oinsert(tc_prod(X21,X20),c_Product__Type_OPair(X21,X20,X19,X18),X17)) = c_Set_Oinsert(X20,X18,c_Relation_ORange(X21,X20,X17)),
    inference(variable_rename,[status(thm)],[c_0_631]) ).

fof(c_0_1154,plain,
    ! [X17,X18,X19,X20,X21] : c_Relation_ODomain(X21,X20,c_Set_Oinsert(tc_prod(X21,X20),c_Product__Type_OPair(X21,X20,X19,X18),X17)) = c_Set_Oinsert(X21,X19,c_Relation_ODomain(X21,X20,X17)),
    inference(variable_rename,[status(thm)],[c_0_632]) ).

fof(c_0_1155,plain,
    ! [X82] : c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X82,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__weak),
    inference(variable_rename,[status(thm)],[c_0_633]) ).

fof(c_0_1156,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( ~ c_member(X18,X16,X17)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)))),X15)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,X15)) )
      & ( c_member(X18,X16,X17)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,X15)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,X15)) )
      & ( ~ c_member(X22,X20,X21)
        | c_member(X22,X20,X21)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | c_member(X22,X20,X21)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_member(X22,X20,X21)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_HOL_Obool)))),X19)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,X19)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_HOL_Obool)))),X19)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X21,c_Set_Oinsert(X22,X20,X19)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_634])])])])]) ).

fof(c_0_1157,plain,
    ! [X15,X16,X17,X18] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)))),X15)
      | ~ c_member(X18,X16,X17)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,c_Set_Oinsert(X18,X16,X15)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_635])]) ).

fof(c_0_1158,plain,
    ! [X17,X18,X19,X20] : c_Orderings_Oord__class_Oless__eq(tc_fun(X20,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X20,tc_HOL_Obool),c_Relation_ODomain(X20,X19,X18),c_Relation_ODomain(X20,X19,X17)),c_Relation_ODomain(X20,X19,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X20,X19),tc_HOL_Obool),X18,X17))),
    inference(variable_rename,[status(thm)],[c_0_636]) ).

fof(c_0_1159,plain,
    ! [X17,X18,X19,X20] : c_Orderings_Oord__class_Oless__eq(tc_fun(X20,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X20,tc_HOL_Obool),c_Relation_ORange(X19,X20,X18),c_Relation_ORange(X19,X20,X17)),c_Relation_ORange(X19,X20,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X19,X20),tc_HOL_Obool),X18,X17))),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_1160,plain,
    ! [X82,X83,X84] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X84,tc_HOL_Obool),c_Relation_OImage(X84,X84,X83,X82),X82)
      | c_Relation_OImage(X84,X84,c_Transitive__Closure_Ortrancl(X84,X83),X82) = X82 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_638])]) ).

fof(c_0_1161,plain,
    ! [X11,X12,X13,X14] :
      ( ~ c_member(X14,X13,c_Wellfounded_Oacc(X14,X12))
      | ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X11,X13),c_Transitive__Closure_Ortrancl(X14,X12))
      | c_member(X14,X11,c_Wellfounded_Oacc(X14,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_639])]) ).

fof(c_0_1162,plain,
    ! [X11,X12,X13,X14] :
      ( ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X13,X12),c_Transitive__Closure_Ortrancl(X14,X11))
      | ~ c_member(X14,X12,c_Wellfounded_Oacc(X14,X11))
      | c_member(X14,X13,c_Wellfounded_Oacc(X14,X11)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_640])]) ).

fof(c_0_1163,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_Equiv__Relations_Oequiv(X16,X15,X14)
      | ~ c_member(X16,X13,X15)
      | c_member(X16,X13,c_Relation_OImage(X16,X16,X14,c_Set_Oinsert(X16,X13,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_641])]) ).

fof(c_0_1164,plain,
    ! [X11,X12,X13,X14] :
      ( ~ c_member(X14,X13,c_Wellfounded_Oacc(X14,X12))
      | ~ c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X11,X13),X12)
      | c_member(X14,X11,c_Wellfounded_Oacc(X14,X12)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_642])]) ).

fof(c_0_1165,plain,
    ! [X11,X12,X13,X14,X15,X16,X17] :
      ( ( ~ c_member(X13,X12,c_Wellfounded_Oacc(X13,X11))
        | ~ c_member(tc_prod(X13,X13),c_Product__Type_OPair(X13,X13,X14,X12),X11)
        | c_member(X13,X14,c_Wellfounded_Oacc(X13,X11)) )
      & ( c_member(tc_prod(X17,X17),c_Product__Type_OPair(X17,X17,esk20_3(X15,X16,X17),X16),X15)
        | c_member(X17,X16,c_Wellfounded_Oacc(X17,X15)) )
      & ( ~ c_member(X17,esk20_3(X15,X16,X17),c_Wellfounded_Oacc(X17,X15))
        | c_member(X17,X16,c_Wellfounded_Oacc(X17,X15)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_643])])])])])]) ).

fof(c_0_1166,plain,
    ! [X16,X17,X18,X19] :
      ( ( ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X16),c_Transitive__Closure_Ortrancl(X19,X17))
        | X18 = X16
        | c_member(X19,X18,c_Relation_ODomain(X19,X19,X17)) )
      & ( X18 != X16
        | c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X18,X16),c_Transitive__Closure_Ortrancl(X19,X17))
        | c_member(X19,X18,c_Relation_ODomain(X19,X19,X17)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_644])])]) ).

fof(c_0_1167,plain,
    ! [X8,X9] :
      ( ( c_member(tc_prod(X9,X9),c_Product__Type_OPair(X9,X9,esk10_2(X8,X9),esk11_2(X8,X9)),X8)
        | c_Relation_Otrans(X9,X8) )
      & ( c_member(tc_prod(X9,X9),c_Product__Type_OPair(X9,X9,esk11_2(X8,X9),esk12_2(X8,X9)),X8)
        | c_Relation_Otrans(X9,X8) )
      & ( ~ c_member(tc_prod(X9,X9),c_Product__Type_OPair(X9,X9,esk10_2(X8,X9),esk12_2(X8,X9)),X8)
        | c_Relation_Otrans(X9,X8) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_645])])])]) ).

fof(c_0_1168,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( ~ c_Nitpick_Orefl_H(X7,X6)
        | c_member(tc_prod(X7,X7),c_Product__Type_OPair(X7,X7,X8,X8),X6) )
      & ( ~ c_member(tc_prod(X10,X10),c_Product__Type_OPair(X10,X10,esk5_2(X9,X10),esk5_2(X9,X10)),X9)
        | c_Nitpick_Orefl_H(X10,X9) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_646])])])])]) ).

fof(c_0_1169,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X17,X16),hAPP(c_Wellfounded_Omeasure(X18),X15))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X15,X17),hAPP(X15,X16)) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X19,X21),hAPP(X19,X20))
        | c_member(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X21,X20),hAPP(c_Wellfounded_Omeasure(X22),X19)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_647])])])]) ).

fof(c_0_1170,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ c_member(tc_prod(X21,X20),c_Product__Type_OPair(X21,X20,X19,X18),X17)
      | c_member(X21,X19,c_Relation_ODomain(X21,X20,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_648])]) ).

fof(c_0_1171,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ c_member(tc_prod(X21,X20),c_Product__Type_OPair(X21,X20,X19,X18),X17)
      | c_member(X20,X18,c_Relation_ORange(X21,X20,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_649])]) ).

fof(c_0_1172,plain,
    ! [X17,X18,X19] :
      ( ( c_member(tc_prod(X19,X18),c_Product__Type_OPair(X19,X18,esk31_3(X17,X18,X19),esk32_3(X17,X18,X19)),X17)
        | c_Relation_Osingle__valued(X19,X18,X17) )
      & ( c_member(tc_prod(X19,X18),c_Product__Type_OPair(X19,X18,esk31_3(X17,X18,X19),esk33_3(X17,X18,X19)),X17)
        | c_Relation_Osingle__valued(X19,X18,X17) )
      & ( esk32_3(X17,X18,X19) != esk33_3(X17,X18,X19)
        | c_Relation_Osingle__valued(X19,X18,X17) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_650])])])]) ).

fof(c_0_1173,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ c_Relation_Orefl__on(X19,X18,X17)
      | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X16,X15),X17)
      | c_member(X19,X15,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_651])]) ).

fof(c_0_1174,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ c_Relation_Orefl__on(X19,X18,X17)
      | ~ c_member(tc_prod(X19,X19),c_Product__Type_OPair(X19,X19,X16,X15),X17)
      | c_member(X19,X16,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_652])]) ).

fof(c_0_1175,plain,
    ! [X56,X57,X58] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X58,X57),c_Transitive__Closure_Ortrancl(X58,X56)),c_Transitive__Closure_Ortrancl(X58,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),X57,X56))),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_1176,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( X17 = X16
        | ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X17,X16),c_Relation_OId__on(X18,X15)) )
      & ( c_member(X18,X17,X15)
        | ~ c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,X17,X16),c_Relation_OId__on(X18,X15)) )
      & ( X21 != X20
        | ~ c_member(X22,X21,X19)
        | c_member(tc_prod(X22,X22),c_Product__Type_OPair(X22,X22,X21,X20),c_Relation_OId__on(X22,X19)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_654])])])])]) ).

fof(c_0_1177,plain,
    ! [X70,X71,X72,X73] :
      ( ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X71,X70),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X70) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X73,X72)
        | c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X73,X72),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_655])])])]) ).

fof(c_0_1178,plain,
    ! [X70,X71,X72,X73] :
      ( ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X71,X70),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X70) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X73,X72)
        | c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X73,X72),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_656])])])]) ).

fof(c_0_1179,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( ~ c_Wellfounded_Oacyclic(X7,X6)
        | ~ c_member(tc_prod(X7,X7),c_Product__Type_OPair(X7,X7,X8,X8),c_Transitive__Closure_Otrancl(X7,X6)) )
      & ( c_member(tc_prod(X10,X10),c_Product__Type_OPair(X10,X10,esk53_2(X9,X10),esk53_2(X9,X10)),c_Transitive__Closure_Otrancl(X10,X9))
        | c_Wellfounded_Oacyclic(X10,X9) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_657])])])])]) ).

fof(c_0_1180,plain,
    ! [X16,X17,X18] :
      ( ~ c_Wellfounded_Owf(X18,X17)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X16,c_Relation_OImage(X18,X18,X17,X16))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_658])]) ).

fof(c_0_1181,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X16,X15),c_Wellfounded_Oless__than)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X16,X15) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X17)
        | c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X18,X17),c_Wellfounded_Oless__than) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_659])])])]) ).

fof(c_0_1182,plain,
    ! [X11,X12,X13] :
      ( ~ c_Wellfounded_Owf(X13,X12)
      | ~ c_member(tc_prod(X13,X13),c_Product__Type_OPair(X13,X13,X11,X11),X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_660])]) ).

fof(c_0_1183,plain,
    ! [X11,X12,X13] :
      ( ~ c_Wellfounded_Owf(X13,X12)
      | ~ c_member(tc_prod(X13,X13),c_Product__Type_OPair(X13,X13,X11,X11),X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_661])]) ).

fof(c_0_1184,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( ~ c_Relation_Oirrefl(X7,X6)
        | ~ c_member(tc_prod(X7,X7),c_Product__Type_OPair(X7,X7,X8,X8),X6) )
      & ( c_member(tc_prod(X10,X10),c_Product__Type_OPair(X10,X10,esk9_2(X9,X10),esk9_2(X9,X10)),X9)
        | c_Relation_Oirrefl(X10,X9) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_662])])])])]) ).

fof(c_0_1185,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ( ~ c_member(tc_prod(X13,X13),c_Product__Type_OPair(X13,X13,X12,X11),c_Relation_OId(X13))
        | X12 = X11 )
      & ( X15 != X14
        | c_member(tc_prod(X16,X16),c_Product__Type_OPair(X16,X16,X15,X14),c_Relation_OId(X16)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_663])])])]) ).

fof(c_0_1186,plain,
    ! [X15,X16,X17] :
      ( ( c_member(tc_prod(X17,X17),c_Product__Type_OPair(X17,X17,esk24_3(X15,X16,X17),X16),X15)
        | c_member(X17,X16,c_Wellfounded_Oacc(X17,X15)) )
      & ( ~ c_member(X17,esk24_3(X15,X16,X17),c_Wellfounded_Oacc(X17,X15))
        | c_member(X17,X16,c_Wellfounded_Oacc(X17,X15)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_664])])])]) ).

fof(c_0_1187,plain,
    ! [X16,X17,X18] :
      ( ( c_member(tc_prod(X18,X18),c_Product__Type_OPair(X18,X18,esk23_3(X16,X17,X18),X17),X16)
        | c_member(X18,X17,c_Wellfounded_Oacc(X18,X16)) )
      & ( ~ c_member(X18,esk23_3(X16,X17,X18),c_Wellfounded_Oacc(X18,X16))
        | c_member(X18,X17,c_Wellfounded_Oacc(X18,X16)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_665])])])]) ).

fof(c_0_1188,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X20,X19),hAPP(X20,X18))
      | c_member(tc_prod(X17,X17),c_Product__Type_OPair(X17,X17,X19,X18),c_Wellfounded_Omlex__prod(X17,X20,X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_666])]) ).

fof(c_0_1189,plain,
    ! [X71,X72,X73,X74,X75,X76,X77,X78,X79,X80] :
      ( ( X74 = X71
        | X74 = X72
        | c_Set_Oinsert(X75,X74,c_Set_Oinsert(X75,X73,c_Orderings_Obot__class_Obot(tc_fun(X75,tc_HOL_Obool)))) != c_Set_Oinsert(X75,X72,c_Set_Oinsert(X75,X71,c_Orderings_Obot__class_Obot(tc_fun(X75,tc_HOL_Obool)))) )
      & ( X73 = X72
        | X74 = X72
        | c_Set_Oinsert(X75,X74,c_Set_Oinsert(X75,X73,c_Orderings_Obot__class_Obot(tc_fun(X75,tc_HOL_Obool)))) != c_Set_Oinsert(X75,X72,c_Set_Oinsert(X75,X71,c_Orderings_Obot__class_Obot(tc_fun(X75,tc_HOL_Obool)))) )
      & ( X74 = X71
        | X73 = X71
        | c_Set_Oinsert(X75,X74,c_Set_Oinsert(X75,X73,c_Orderings_Obot__class_Obot(tc_fun(X75,tc_HOL_Obool)))) != c_Set_Oinsert(X75,X72,c_Set_Oinsert(X75,X71,c_Orderings_Obot__class_Obot(tc_fun(X75,tc_HOL_Obool)))) )
      & ( X73 = X72
        | X73 = X71
        | c_Set_Oinsert(X75,X74,c_Set_Oinsert(X75,X73,c_Orderings_Obot__class_Obot(tc_fun(X75,tc_HOL_Obool)))) != c_Set_Oinsert(X75,X72,c_Set_Oinsert(X75,X71,c_Orderings_Obot__class_Obot(tc_fun(X75,tc_HOL_Obool)))) )
      & ( X79 != X77
        | X78 != X76
        | c_Set_Oinsert(X80,X79,c_Set_Oinsert(X80,X78,c_Orderings_Obot__class_Obot(tc_fun(X80,tc_HOL_Obool)))) = c_Set_Oinsert(X80,X77,c_Set_Oinsert(X80,X76,c_Orderings_Obot__class_Obot(tc_fun(X80,tc_HOL_Obool)))) )
      & ( X79 != X76
        | X78 != X77
        | c_Set_Oinsert(X80,X79,c_Set_Oinsert(X80,X78,c_Orderings_Obot__class_Obot(tc_fun(X80,tc_HOL_Obool)))) = c_Set_Oinsert(X80,X77,c_Set_Oinsert(X80,X76,c_Orderings_Obot__class_Obot(tc_fun(X80,tc_HOL_Obool)))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_667])])])])]) ).

fof(c_0_1190,plain,
    ! [X13,X14,X15,X16] : c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X15,c_Set_Oinsert(X16,X14,X13)) = c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X15,c_Set_Oinsert(X16,X14,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool)))),X13),
    inference(variable_rename,[status(thm)],[c_0_668]) ).

fof(c_0_1191,plain,
    ! [X56,X57,X58,X59] :
      ( ( ~ c_member(tc_prod(X59,X59),X58,c_Transitive__Closure_Ortrancl(X59,X57))
        | c_member(tc_prod(X59,X59),X58,c_Transitive__Closure_Ortrancl(X59,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X59,X59),tc_HOL_Obool),X57,X56))) )
      & ( ~ c_member(tc_prod(X59,X59),X58,c_Transitive__Closure_Ortrancl(X59,X56))
        | c_member(tc_prod(X59,X59),X58,c_Transitive__Closure_Ortrancl(X59,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X59,X59),tc_HOL_Obool),X57,X56))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_669])])]) ).

fof(c_0_1192,plain,
    ! [X29,X30,X31,X32,X33,X34] :
      ( ( X32 = X30
        | c_Product__Type_OPair(X34,X33,X32,X31) != c_Product__Type_OPair(X34,X33,X30,X29) )
      & ( X31 = X29
        | c_Product__Type_OPair(X34,X33,X32,X31) != c_Product__Type_OPair(X34,X33,X30,X29) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_670])])])])]) ).

fof(c_0_1193,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36] :
      ( ( X28 = X26
        | c_Product__Type_OPair(X30,X29,X28,X27) != c_Product__Type_OPair(X30,X29,X26,X25) )
      & ( X27 = X25
        | c_Product__Type_OPair(X30,X29,X28,X27) != c_Product__Type_OPair(X30,X29,X26,X25) )
      & ( X34 != X32
        | X33 != X31
        | c_Product__Type_OPair(X36,X35,X34,X33) = c_Product__Type_OPair(X36,X35,X32,X31) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_671])])])])]) ).

fof(c_0_1194,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_Relation_Orefl__on(X16,X15,X14)
      | ~ c_member(X16,X13,X15)
      | c_member(tc_prod(X16,X16),c_Product__Type_OPair(X16,X16,X13,X13),X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_672])]) ).

fof(c_0_1195,plain,
    ! [X6,X7] :
      ( c_member(tc_prod(X7,X7),c_Product__Type_OPair(X7,X7,esk57_2(X6,X7),esk57_2(X6,X7)),c_Transitive__Closure_Otrancl(X7,X6))
      | c_Wellfounded_Oacyclic(X7,X6) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_673])])]) ).

fof(c_0_1196,plain,
    ! [X13,X14,X15] :
      ( ~ c_member(X15,X14,X13)
      | c_Set_Oinsert(X15,X14,c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),X13,c_Set_Oinsert(X15,X14,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool))))) = X13 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_674])]) ).

fof(c_0_1197,plain,
    ! [X7,X8] :
      ( ( c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,esk77_2(X7,X8),esk78_2(X7,X8)),X7)
        | c_Relation_Oantisym(X8,X7) )
      & ( c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,esk78_2(X7,X8),esk77_2(X7,X8)),X7)
        | c_Relation_Oantisym(X8,X7) )
      & ( esk77_2(X7,X8) != esk78_2(X7,X8)
        | c_Relation_Oantisym(X8,X7) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_675])])])]) ).

fof(c_0_1198,plain,
    ! [X13,X14,X15,X16] :
      ( X16 != X15
      | ~ c_member(X14,X16,X13)
      | c_member(tc_prod(X14,X14),c_Product__Type_OPair(X14,X14,X16,X15),c_Relation_OId__on(X14,X13)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_676])]) ).

fof(c_0_1199,plain,
    ! [X13,X14,X15] : c_Set_Oinsert(X15,X14,c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),X13,c_Set_Oinsert(X15,X14,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool))))) = c_Set_Oinsert(X15,X14,X13),
    inference(variable_rename,[status(thm)],[c_0_677]) ).

fof(c_0_1200,plain,
    ! [X56,X57,X58] : c_Transitive__Closure_Ortrancl(X58,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X58,X57),c_Transitive__Closure_Ortrancl(X58,X56))) = c_Transitive__Closure_Ortrancl(X58,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),X57,X56)),
    inference(variable_rename,[status(thm)],[c_0_678]) ).

fof(c_0_1201,plain,
    ! [X32,X33,X34,X35,X36] :
      ( ~ c_Relation_Orefl__on(X36,X35,X34)
      | ~ c_Relation_Orefl__on(X36,X33,X32)
      | c_Relation_Orefl__on(X36,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X36,tc_HOL_Obool),X35,X33),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X36,X36),tc_HOL_Obool),X34,X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_679])]) ).

fof(c_0_1202,plain,
    ! [X80,X81,X82] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X81,X82),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X80,X82))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X81,X80)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X80)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X81) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X81,X80)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X81,X82),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X80,X82))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X80)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X81) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_680])])]) ).

fof(c_0_1203,plain,
    ! [X80,X81,X82] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X81,X82),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X80,X82))
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X81,X80)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X80)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X81) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X81,X80)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X81,X82),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X80,X82))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X80)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X81) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_681])])]) ).

fof(c_0_1204,plain,
    ! [X13,X14,X15] :
      ( ( c_member(X15,esk17_3(X13,X14,X15),X13)
        | ~ c_member(tc_prod(X15,X15),X14,c_Relation_OId__on(X15,X13)) )
      & ( X14 = c_Product__Type_OPair(X15,X15,esk17_3(X13,X14,X15),esk17_3(X13,X14,X15))
        | ~ c_member(tc_prod(X15,X15),X14,c_Relation_OId__on(X15,X13)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_682])])])]) ).

fof(c_0_1205,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X71,tc_HOL_Obool),X70,X69)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X71,tc_HOL_Obool),X68,X67)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X71,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X71,tc_HOL_Obool),X70,X67),c_Groups_Ominus__class_Ominus(tc_fun(X71,tc_HOL_Obool),X69,X68)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_683])]) ).

fof(c_0_1206,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X71,tc_HOL_Obool),X70,X69)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X71,tc_HOL_Obool),X68,X67)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X71,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X71,tc_HOL_Obool),X70,X68),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X71,tc_HOL_Obool),X69,X67)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_684])]) ).

fof(c_0_1207,plain,
    ! [X13,X14,X15,X16] : c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X15,c_Set_Oinsert(X16,X14,X13)) = c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X15,X13),c_Set_Oinsert(X16,X14,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool)))),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1208,plain,
    ! [X55,X56,X57,X58] : c_Groups_Ominus__class_Ominus(tc_fun(X58,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X57,X56),X55) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X58,tc_HOL_Obool),X57,X55),c_Groups_Ominus__class_Ominus(tc_fun(X58,tc_HOL_Obool),X56,X55)),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1209,plain,
    ! [X17,X18,X19,X20] : c_Relation_ODomain(X20,X19,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X20,X19),tc_HOL_Obool),X18,X17)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X20,tc_HOL_Obool),c_Relation_ODomain(X20,X19,X18),c_Relation_ODomain(X20,X19,X17)),
    inference(variable_rename,[status(thm)],[c_0_687]) ).

fof(c_0_1210,plain,
    ! [X17,X18,X19,X20] : c_Relation_ORange(X20,X19,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X20,X19),tc_HOL_Obool),X18,X17)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X19,tc_HOL_Obool),c_Relation_ORange(X20,X19,X18),c_Relation_ORange(X20,X19,X17)),
    inference(variable_rename,[status(thm)],[c_0_688]) ).

fof(c_0_1211,plain,
    ! [X11,X12,X13] : c_member(tc_prod(X13,X13),c_Product__Type_OPair(X13,X13,X12,X12),c_Transitive__Closure_Ortrancl(X13,X11)),
    inference(variable_rename,[status(thm)],[c_0_689]) ).

fof(c_0_1212,plain,
    ! [X55,X56,X57,X58,X59,X60,X61,X62] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X58,tc_HOL_Obool),X57,X56),X55)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X57,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X56,X55)) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X62,tc_HOL_Obool),X61,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X62,tc_HOL_Obool),X60,X59))
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X62,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X62,tc_HOL_Obool),X61,X60),X59) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_690])])])]) ).

fof(c_0_1213,plain,
    ! [X15,X16,X17] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X17,tc_HOL_Obool),X16,c_Set_Oinsert(X17,X15,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool))))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool))
      | X16 = c_Set_Oinsert(X17,X15,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_691])]) ).

fof(c_0_1214,plain,
    ! [X15,X16,X17,X18] :
      ( ~ hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X18,tc_HOL_Obool),X17,X16),X15))
      | hBOOL(hAPP(X17,X15))
      | hBOOL(hAPP(X16,X15)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_692])])])]) ).

fof(c_0_1215,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( c_Order__Relation_Olinear__order__on(X15,X14,X13)
        | ~ c_Order__Relation_Owell__order__on(X15,X14,X13) )
      & ( c_Wellfounded_Owf(X15,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X15,X15),tc_HOL_Obool),X13,c_Relation_OId(X15)))
        | ~ c_Order__Relation_Owell__order__on(X15,X14,X13) )
      & ( ~ c_Order__Relation_Olinear__order__on(X18,X17,X16)
        | ~ c_Wellfounded_Owf(X18,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X18,X18),tc_HOL_Obool),X16,c_Relation_OId(X18)))
        | c_Order__Relation_Owell__order__on(X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_693])])])])]) ).

fof(c_0_1216,plain,
    ! [X11,X12] : c_member(tc_prod(X12,X12),c_Product__Type_OPair(X12,X12,X11,X11),c_Relation_OId(X12)),
    inference(variable_rename,[status(thm)],[c_0_694]) ).

fof(c_0_1217,plain,
    ! [X59,X60,X61,X62] :
      ( ~ c_Wellfounded_Owf(X62,X61)
      | ~ c_Wellfounded_Owf(X60,X59)
      | c_Wellfounded_Owf(tc_prod(X62,X60),c_Wellfounded_Olex__prod(X62,X60,X61,X59)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_695])]) ).

fof(c_0_1218,plain,
    ! [X35,X36,X37,X38] :
      ( ~ c_Relation_Otrans(X38,X37)
      | ~ c_Relation_Otrans(X36,X35)
      | c_Relation_Otrans(tc_prod(X38,X36),c_Wellfounded_Olex__prod(X38,X36,X37,X35)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_696])]) ).

fof(c_0_1219,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( ~ c_Relation_Ototal__on(X15,X14,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X15,X15),tc_HOL_Obool),X13,c_Relation_OId(X15)))
        | c_Relation_Ototal__on(X15,X14,X13) )
      & ( ~ c_Relation_Ototal__on(X18,X17,X16)
        | c_Relation_Ototal__on(X18,X17,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X18,X18),tc_HOL_Obool),X16,c_Relation_OId(X18))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_697])])])]) ).

fof(c_0_1220,plain,
    ! [X19,X20,X21,X22] :
      ( ~ c_FunDef_Oreduction__pair(X22,X21)
      | c_FunDef_Oreduction__pair(X20,c_FunDef_Orp__inv__image(X22,X20,X21,X19)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_698])]) ).

fof(c_0_1221,plain,
    ! [X32,X33,X34,X35] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),X33,X32)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X35,tc_HOL_Obool),c_Relation_ODomain(X35,X34,X33),c_Relation_ODomain(X35,X34,X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_699])]) ).

fof(c_0_1222,plain,
    ! [X77,X78,X79] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X78)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X79,X77)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X78,X79),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X77,X79)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X78,X77) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_700])]) ).

fof(c_0_1223,plain,
    ! [X41,X42,X43,X44] :
      ( ~ c_member(tc_prod(X44,X44),X43,c_Transitive__Closure_Otrancl(X44,X42))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X44,X44),tc_HOL_Obool),X42,X41)
      | c_member(tc_prod(X44,X44),X43,c_Transitive__Closure_Otrancl(X44,X41)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_701])]) ).

fof(c_0_1224,plain,
    ! [X56,X57,X58] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),X57,X56)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X58,X58),tc_HOL_Obool),X56,c_Transitive__Closure_Ortrancl(X58,X57))
      | c_Transitive__Closure_Ortrancl(X58,X56) = c_Transitive__Closure_Ortrancl(X58,X57) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_702])]) ).

fof(c_0_1225,plain,
    ! [X55,X56,X57,X58] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X57,X56)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X56,X55)
      | c_Groups_Ominus__class_Ominus(tc_fun(X58,tc_HOL_Obool),X56,c_Groups_Ominus__class_Ominus(tc_fun(X58,tc_HOL_Obool),X55,X57)) = X57 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_703])]) ).

fof(c_0_1226,plain,
    ! [X55,X56,X57,X58] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X57,X56)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X55,X56)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X57,X55),X56) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_704])]) ).

fof(c_0_1227,plain,
    ! [X70,X71,X72] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X72)
        | hBOOL(hAPP(hAPP(X70,X71),X72))
        | X72 = X71
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71) )
      & ( ~ hBOOL(hAPP(hAPP(X70,X71),X72))
        | hBOOL(hAPP(hAPP(X70,X71),X72))
        | X72 = X71
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71) )
      & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X72)
        | hBOOL(hAPP(hAPP(X70,X71),X72))
        | ~ hBOOL(hAPP(hAPP(X70,X71),X72))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71) )
      & ( ~ hBOOL(hAPP(hAPP(X70,X71),X72))
        | hBOOL(hAPP(hAPP(X70,X71),X72))
        | ~ hBOOL(hAPP(hAPP(X70,X71),X72))
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X71) )
      & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X72)
        | hBOOL(hAPP(hAPP(X70,X71),X72))
        | X72 = X71
        | ~ hBOOL(hAPP(hAPP(X70,X71),X72)) )
      & ( ~ hBOOL(hAPP(hAPP(X70,X71),X72))
        | hBOOL(hAPP(hAPP(X70,X71),X72))
        | X72 = X71
        | ~ hBOOL(hAPP(hAPP(X70,X71),X72)) )
      & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X72)
        | hBOOL(hAPP(hAPP(X70,X71),X72))
        | ~ hBOOL(hAPP(hAPP(X70,X71),X72))
        | ~ hBOOL(hAPP(hAPP(X70,X71),X72)) )
      & ( ~ hBOOL(hAPP(hAPP(X70,X71),X72))
        | hBOOL(hAPP(hAPP(X70,X71),X72))
        | ~ hBOOL(hAPP(hAPP(X70,X71),X72))
        | ~ hBOOL(hAPP(hAPP(X70,X71),X72)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_705])])]) ).

fof(c_0_1228,plain,
    ! [X55,X56,X57,X58] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X57,X56),X55) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X57,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X56,X55)),
    inference(variable_rename,[status(thm)],[c_0_706]) ).

fof(c_0_1229,plain,
    ! [X55,X56,X57,X58] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X57,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X56,X55)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X56,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X57,X55)),
    inference(variable_rename,[status(thm)],[c_0_707]) ).

fof(c_0_1230,plain,
    ! [X6,X7,X8,X9] :
      ( ( ~ c_Relation_Oantisym(X7,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X7,X7),tc_HOL_Obool),X6,c_Relation_OId(X7)))
        | c_Relation_Oantisym(X7,X6) )
      & ( ~ c_Relation_Oantisym(X9,X8)
        | c_Relation_Oantisym(X9,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X9,X9),tc_HOL_Obool),X8,c_Relation_OId(X9))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_708])])])]) ).

fof(c_0_1231,plain,
    ! [X15,X16,X17] :
      ( c_member(X17,X16,X15)
      | c_Groups_Ominus__class_Ominus(tc_fun(X17,tc_HOL_Obool),c_Set_Oinsert(X17,X16,X15),c_Set_Oinsert(X17,X16,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool)))) = X15 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_709])]) ).

fof(c_0_1232,plain,
    ! [X68,X69,X70,X71,X72] :
      ( ~ class_Lattices_Osemilattice__sup(X72)
      | ~ c_Orderings_Oord__class_Oless__eq(X72,X71,X70)
      | ~ c_Orderings_Oord__class_Oless__eq(X72,X69,X68)
      | c_Orderings_Oord__class_Oless__eq(X72,c_Lattices_Osemilattice__sup__class_Osup(X72,X71,X69),c_Lattices_Osemilattice__sup__class_Osup(X72,X70,X68)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_710])]) ).

fof(c_0_1233,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( ~ c_member(X18,X17,X16)
        | c_Groups_Ominus__class_Ominus(tc_fun(X18,tc_HOL_Obool),c_Set_Oinsert(X18,X17,X15),X16) = c_Groups_Ominus__class_Ominus(tc_fun(X18,tc_HOL_Obool),X15,X16) )
      & ( c_member(X22,X21,X20)
        | c_Groups_Ominus__class_Ominus(tc_fun(X22,tc_HOL_Obool),c_Set_Oinsert(X22,X21,X19),X20) = c_Set_Oinsert(X22,X21,c_Groups_Ominus__class_Ominus(tc_fun(X22,tc_HOL_Obool),X19,X20)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_711])])])]) ).

fof(c_0_1234,plain,
    ! [X41,X42] :
      ( ~ c_member(tc_prod(X42,X42),X41,c_Relation_OId(X42))
      | X41 = c_Product__Type_OPair(X42,X42,esk58_2(X41,X42),esk58_2(X41,X42)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_712])])]) ).

fof(c_0_1235,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ( ~ c_member(X16,X15,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X14,X13))
        | c_member(X16,X15,X14)
        | c_member(X16,X15,X13) )
      & ( ~ c_member(X20,X19,X18)
        | c_member(X20,X19,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X20,tc_HOL_Obool),X18,X17)) )
      & ( ~ c_member(X20,X19,X17)
        | c_member(X20,X19,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X20,tc_HOL_Obool),X18,X17)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_713])])])])]) ).

fof(c_0_1236,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_member(X16,X15,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X14,X13))
      | c_member(X16,X15,X14)
      | c_member(X16,X15,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_714])]) ).

fof(c_0_1237,plain,
    ! [X62,X63,X64] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X64,X63)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X62,X64)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X64,X62),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X63,X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_715])]) ).

fof(c_0_1238,plain,
    ! [X76,X77,X78] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X78,X77)
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X78,X76)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X76,X77),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X76,X78)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_716])]) ).

fof(c_0_1239,plain,
    ! [X32,X33,X34] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),X33,c_Transitive__Closure_Ortrancl(X34,X32))
      | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X34,X33),c_Transitive__Closure_Ortrancl(X34,X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_717])]) ).

fof(c_0_1240,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X16,c_Set_Oinsert(X18,X17,X15))
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X16,X15)
        | c_member(X18,X17,X16) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X16,X15)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X16,c_Set_Oinsert(X18,X17,X15))
        | c_member(X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_718])])]) ).

fof(c_0_1241,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ( ~ c_member(X13,X12,c_Set_Oinsert(X13,X11,c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool))))
        | X12 = X11 )
      & ( X15 != X14
        | c_member(X16,X15,c_Set_Oinsert(X16,X14,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool)))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_719])])])]) ).

fof(c_0_1242,plain,
    ! [X11,X12,X13] :
      ( ~ c_member(X13,X12,c_Set_Oinsert(X13,X11,c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool))))
      | X12 = X11 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_720])])])]) ).

fof(c_0_1243,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( ~ hBOOL(hAPP(c_Set_Oinsert(X18,X17,X16),X15))
        | X17 = X15
        | hBOOL(hAPP(X16,X15)) )
      & ( X21 != X19
        | hBOOL(hAPP(c_Set_Oinsert(X22,X21,X20),X19)) )
      & ( ~ hBOOL(hAPP(X20,X19))
        | hBOOL(hAPP(c_Set_Oinsert(X22,X21,X20),X19)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_721])])])])]) ).

fof(c_0_1244,plain,
    ! [X67,X68,X69,X70] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X70,tc_HOL_Obool),X69,X68)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X70,tc_HOL_Obool),c_Set_Oinsert(X70,X67,X69),c_Set_Oinsert(X70,X67,X68)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_722])]) ).

fof(c_0_1245,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_member(X16,X15,c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X14,X13))
      | ~ c_member(X16,X15,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_723])]) ).

fof(c_0_1246,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ( c_member(X16,X15,X14)
        | ~ c_member(X16,X15,c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X14,X13)) )
      & ( ~ c_member(X16,X15,X13)
        | ~ c_member(X16,X15,c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X14,X13)) )
      & ( ~ c_member(X20,X19,X18)
        | c_member(X20,X19,X17)
        | c_member(X20,X19,c_Groups_Ominus__class_Ominus(tc_fun(X20,tc_HOL_Obool),X18,X17)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_724])])])])]) ).

fof(c_0_1247,plain,
    ! [X13,X14,X15,X16] :
      ( ( c_member(X16,X15,X14)
        | ~ c_member(X16,X15,c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X14,X13)) )
      & ( ~ c_member(X16,X15,X13)
        | ~ c_member(X16,X15,c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X14,X13)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_725])])]) ).

fof(c_0_1248,plain,
    ! [X57,X58,X59,X60,X61,X62] :
      ( ~ hBOOL(hAPP(hAPP(X62,X61),X60))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X59,tc_fun(X58,tc_HOL_Obool)),X62,X57)
      | hBOOL(hAPP(hAPP(X57,X61),X60)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_726])]) ).

fof(c_0_1249,plain,
    ! [X57,X58,X59,X60,X61,X62] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X62,tc_fun(X61,tc_HOL_Obool)),X60,X59)
      | ~ hBOOL(hAPP(hAPP(X60,X58),X57))
      | hBOOL(hAPP(hAPP(X59,X58),X57)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_727])])])]) ).

fof(c_0_1250,plain,
    ! [X13,X14,X15] :
      ( ~ c_Order__Relation_Olinear__order__on(X15,X14,X13)
      | c_Order__Relation_Ostrict__linear__order__on(X15,X14,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X15,X15),tc_HOL_Obool),X13,c_Relation_OId(X15))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_728])]) ).

fof(c_0_1251,plain,
    ! [X32,X33,X34] : c_Relation_OField(X34,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),X33,X32)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X34,tc_HOL_Obool),c_Relation_OField(X34,X33),c_Relation_OField(X34,X32)),
    inference(variable_rename,[status(thm)],[c_0_729]) ).

fof(c_0_1252,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ( c_member(X18,X17,X15)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),c_Set_Oinsert(X18,X17,X16),X15) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X16,X15)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),c_Set_Oinsert(X18,X17,X16),X15) )
      & ( ~ c_member(X22,X21,X19)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),X20,X19)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X22,tc_HOL_Obool),c_Set_Oinsert(X22,X21,X20),X19) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_730])])])])]) ).

fof(c_0_1253,plain,
    ! [X55,X56,X57,X58] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),c_Set_Oinsert(X58,X57,X56),X55) = c_Set_Oinsert(X58,X57,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X58,tc_HOL_Obool),X56,X55)),
    inference(variable_rename,[status(thm)],[c_0_731]) ).

fof(c_0_1254,plain,
    ! [X13,X14,X15,X16] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X15,c_Set_Oinsert(X16,X14,X13)) = c_Set_Oinsert(X16,X14,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X15,X13)),
    inference(variable_rename,[status(thm)],[c_0_732]) ).

fof(c_0_1255,plain,
    ! [X32,X33,X34] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),X33,X32)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X34,X33),c_Transitive__Closure_Ortrancl(X34,X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_733])]) ).

fof(c_0_1256,plain,
    ! [X15,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,X17))
      | hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X15,X18),X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_734])]) ).

fof(c_0_1257,plain,
    ! [X15,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,X17))
      | hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X18,X15),X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_735])]) ).

fof(c_0_1258,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ hBOOL(hAPP(X18,X17))
        | hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X16,X18),X17)) )
      & ( ~ hBOOL(hAPP(X16,X17))
        | hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X16,X18),X17)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_736])])]) ).

fof(c_0_1259,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_member(X16,X15,c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X14,X13))
      | c_member(X16,X15,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_737])]) ).

fof(c_0_1260,plain,
    ! [X13,X14,X15] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,X13)
      | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),X13,X14)) = X13 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_738])]) ).

fof(c_0_1261,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_member(X16,X15,X14)
      | c_member(X16,X15,X13)
      | c_member(X16,X15,c_Groups_Ominus__class_Ominus(tc_fun(X16,tc_HOL_Obool),X14,X13)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_739])]) ).

fof(c_0_1262,plain,
    ! [X15,X16,X17,X18] :
      ( ~ c_member(X18,X17,X16)
      | c_Groups_Ominus__class_Ominus(tc_fun(X18,tc_HOL_Obool),c_Set_Oinsert(X18,X17,X15),X16) = c_Groups_Ominus__class_Ominus(tc_fun(X18,tc_HOL_Obool),X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_740])]) ).

fof(c_0_1263,plain,
    ! [X32,X33,X34,X35] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),X33,X32)
      | ~ c_Relation_Osingle__valued(X35,X34,X32)
      | c_Relation_Osingle__valued(X35,X34,X33) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_741])]) ).

fof(c_0_1264,plain,
    ! [X76,X77,X78] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X77)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X76,X77),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X76,X78)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_742])]) ).

fof(c_0_1265,plain,
    ! [X76,X77,X78] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X78,X77)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X78,X76),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X77,X76)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_743])]) ).

fof(c_0_1266,plain,
    ! [X13,X14,X15] : c_Set_Oinsert(X15,X14,X13) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),c_Set_Oinsert(X15,X14,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool))),X13),
    inference(variable_rename,[status(thm)],[c_0_744]) ).

fof(c_0_1267,plain,
    ! [X40,X41,X42,X43] :
      ( ( c_Orderings_Oord__class_Oless__eq(X43,X42,X40)
        | ~ c_Orderings_Oord__class_Oless__eq(X43,c_Lattices_Osemilattice__sup__class_Osup(X43,X42,X41),X40)
        | ~ class_Lattices_Osemilattice__sup(X43) )
      & ( c_Orderings_Oord__class_Oless__eq(X43,X41,X40)
        | ~ c_Orderings_Oord__class_Oless__eq(X43,c_Lattices_Osemilattice__sup__class_Osup(X43,X42,X41),X40)
        | ~ class_Lattices_Osemilattice__sup(X43) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X43,X42,X40)
        | ~ c_Orderings_Oord__class_Oless__eq(X43,X41,X40)
        | c_Orderings_Oord__class_Oless__eq(X43,c_Lattices_Osemilattice__sup__class_Osup(X43,X42,X41),X40)
        | ~ class_Lattices_Osemilattice__sup(X43) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_745])])]) ).

fof(c_0_1268,plain,
    ! [X60,X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X60,X61)
      | c_Orderings_Oord__class_Oless__eq(X63,c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X60),X61) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_746])]) ).

fof(c_0_1269,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Lattices_Osemilattice__sup(X66)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X63,X64)
      | c_Orderings_Oord__class_Oless__eq(X66,c_Lattices_Osemilattice__sup__class_Osup(X66,X65,X63),X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_747])]) ).

fof(c_0_1270,plain,
    ! [X11,X12,X13] :
      ( c_Set_Oinsert(X13,X12,c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool))) != c_Set_Oinsert(X13,X11,c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool)))
      | X12 = X11 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_748])])])]) ).

fof(c_0_1271,plain,
    ! [X80,X81,X82] :
      ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X81,X82) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X80,X82)
        | X81 = X80
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X80)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X81) )
      & ( X81 != X80
        | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X81,X82) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X80,X82)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X80)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X81) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_749])])]) ).

fof(c_0_1272,plain,
    ! [X32,X33,X34] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),X33,X32)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X34,tc_HOL_Obool),c_Relation_OField(X34,X33),c_Relation_OField(X34,X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_750])]) ).

fof(c_0_1273,plain,
    ! [X35,X36,X37] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X37,X37),tc_HOL_Obool),X36,X35)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X37,tc_HOL_Obool),c_Wellfounded_Oacc(X37,X35),c_Wellfounded_Oacc(X37,X36)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_751])]) ).

fof(c_0_1274,axiom,
    c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))),
    c_0_752 ).

fof(c_0_1275,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Lattices_Osemilattice__sup(X66)
      | c_Lattices_Osemilattice__sup__class_Osup(X66,c_Lattices_Osemilattice__sup__class_Osup(X66,X65,X64),X63) = c_Lattices_Osemilattice__sup__class_Osup(X66,X65,c_Lattices_Osemilattice__sup__class_Osup(X66,X64,X63)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_753])]) ).

fof(c_0_1276,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Lattices_Olattice(X66)
      | c_Lattices_Osemilattice__sup__class_Osup(X66,c_Lattices_Osemilattice__sup__class_Osup(X66,X65,X64),X63) = c_Lattices_Osemilattice__sup__class_Osup(X66,X65,c_Lattices_Osemilattice__sup__class_Osup(X66,X64,X63)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_754])]) ).

fof(c_0_1277,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Lattices_Osemilattice__sup(X65)
      | c_Lattices_Osemilattice__sup__class_Osup(X65,c_Lattices_Osemilattice__sup__class_Osup(X65,X64,X63),X62) = c_Lattices_Osemilattice__sup__class_Osup(X65,X64,c_Lattices_Osemilattice__sup__class_Osup(X65,X63,X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_755])]) ).

fof(c_0_1278,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Lattices_Osemilattice__sup(X66)
      | c_Lattices_Osemilattice__sup__class_Osup(X66,X65,c_Lattices_Osemilattice__sup__class_Osup(X66,X64,X63)) = c_Lattices_Osemilattice__sup__class_Osup(X66,X64,c_Lattices_Osemilattice__sup__class_Osup(X66,X65,X63)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_756])]) ).

fof(c_0_1279,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Lattices_Olattice(X66)
      | c_Lattices_Osemilattice__sup__class_Osup(X66,X65,c_Lattices_Osemilattice__sup__class_Osup(X66,X64,X63)) = c_Lattices_Osemilattice__sup__class_Osup(X66,X64,c_Lattices_Osemilattice__sup__class_Osup(X66,X65,X63)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_757])]) ).

fof(c_0_1280,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Lattices_Osemilattice__sup(X65)
      | c_Lattices_Osemilattice__sup__class_Osup(X65,X64,c_Lattices_Osemilattice__sup__class_Osup(X65,X63,X62)) = c_Lattices_Osemilattice__sup__class_Osup(X65,X63,c_Lattices_Osemilattice__sup__class_Osup(X65,X64,X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_758])]) ).

fof(c_0_1281,plain,
    ! [X6,X7] :
      ( ~ c_Relation_Otrans(X7,X6)
      | ~ c_Relation_Oantisym(X7,X6)
      | c_Relation_Otrans(X7,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X7,X7),tc_HOL_Obool),X6,c_Relation_OId(X7))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_759])]) ).

fof(c_0_1282,plain,
    ! [X17,X18,X19] : c_Relation_OImage(X19,X18,X17,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_760]) ).

fof(c_0_1283,plain,
    ! [X15,X16,X17,X18] : c_Set_Oinsert(X18,X17,c_Set_Oinsert(X18,X16,X15)) = c_Set_Oinsert(X18,X16,c_Set_Oinsert(X18,X17,X15)),
    inference(variable_rename,[status(thm)],[c_0_761]) ).

fof(c_0_1284,plain,
    ! [X55,X56,X57,X58] :
      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X58,tc_HOL_Obool),X57,X56)
      | ~ c_Orderings_Oord__class_Oless(tc_fun(X58,tc_HOL_Obool),X56,X55)
      | c_Orderings_Oord__class_Oless(tc_fun(X58,tc_HOL_Obool),X57,X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_762])]) ).

fof(c_0_1285,plain,
    ! [X55,X56,X57,X58] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X57,X56)
      | ~ c_Orderings_Oord__class_Oless(tc_fun(X58,tc_HOL_Obool),X56,X55)
      | c_Orderings_Oord__class_Oless(tc_fun(X58,tc_HOL_Obool),X57,X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_763])]) ).

fof(c_0_1286,plain,
    ! [X55,X56,X57,X58] :
      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X58,tc_HOL_Obool),X57,X56)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X56,X55)
      | c_Orderings_Oord__class_Oless(tc_fun(X58,tc_HOL_Obool),X57,X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_764])]) ).

fof(c_0_1287,plain,
    ! [X55,X56,X57,X58] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X57,X56)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X56,X55)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X57,X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_765])]) ).

fof(c_0_1288,plain,
    ! [X71,X72,X73,X74,X75] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X75,X74,X73)
        | c_Orderings_Oord__class_Oless__eq(X75,X72,X71)
        | c_Groups_Ominus__class_Ominus(X75,X74,X73) != c_Groups_Ominus__class_Ominus(X75,X72,X71)
        | ~ class_Groups_Oordered__ab__group__add(X75) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X75,X72,X71)
        | c_Orderings_Oord__class_Oless__eq(X75,X74,X73)
        | c_Groups_Ominus__class_Ominus(X75,X74,X73) != c_Groups_Ominus__class_Ominus(X75,X72,X71)
        | ~ class_Groups_Oordered__ab__group__add(X75) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_766])])]) ).

fof(c_0_1289,plain,
    ! [X71,X72,X73,X74,X75] :
      ( ( ~ c_Orderings_Oord__class_Oless(X75,X74,X73)
        | c_Orderings_Oord__class_Oless(X75,X72,X71)
        | c_Groups_Ominus__class_Ominus(X75,X74,X73) != c_Groups_Ominus__class_Ominus(X75,X72,X71)
        | ~ class_Groups_Oordered__ab__group__add(X75) )
      & ( ~ c_Orderings_Oord__class_Oless(X75,X72,X71)
        | c_Orderings_Oord__class_Oless(X75,X74,X73)
        | c_Groups_Ominus__class_Ominus(X75,X74,X73) != c_Groups_Ominus__class_Ominus(X75,X72,X71)
        | ~ class_Groups_Oordered__ab__group__add(X75) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_767])])]) ).

fof(c_0_1290,plain,
    ! [X60,X61,X62,X63] :
      ( ( c_Orderings_Oord__class_Oless__eq(X63,X62,X60)
        | ~ c_Orderings_Oord__class_Oless__eq(X63,c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61),X60)
        | ~ class_Lattices_Osemilattice__sup(X63) )
      & ( c_Orderings_Oord__class_Oless__eq(X63,X61,X60)
        | ~ c_Orderings_Oord__class_Oless__eq(X63,c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61),X60)
        | ~ class_Lattices_Osemilattice__sup(X63) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_768])])]) ).

fof(c_0_1291,plain,
    ! [X79,X80,X81] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X81,X80),X79) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X81,X79),X80),
    inference(variable_rename,[status(thm)],[c_0_769]) ).

fof(c_0_1292,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ( ~ c_member(X16,X15,c_Set_Oinsert(X16,X14,X13))
        | X15 = X14
        | c_member(X16,X15,X13) )
      & ( X19 != X18
        | c_member(X20,X19,c_Set_Oinsert(X20,X18,X17)) )
      & ( ~ c_member(X20,X19,X17)
        | c_member(X20,X19,c_Set_Oinsert(X20,X18,X17)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_770])])])])]) ).

fof(c_0_1293,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_member(X16,X15,c_Set_Oinsert(X16,X14,X13))
      | X15 = X14
      | c_member(X16,X15,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_771])]) ).

fof(c_0_1294,plain,
    ! [X13,X14,X15] : c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),X14,X13),X13) = c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),X14,X13),
    inference(variable_rename,[status(thm)],[c_0_772]) ).

fof(c_0_1295,plain,
    ! [X13,X14,X15] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),X14,X13),X13) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13),
    inference(variable_rename,[status(thm)],[c_0_773]) ).

fof(c_0_1296,plain,
    ! [X13,X14,X15] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),X13,X14)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13),
    inference(variable_rename,[status(thm)],[c_0_774]) ).

fof(c_0_1297,plain,
    ! [X13,X14,X15] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13),
    inference(variable_rename,[status(thm)],[c_0_775]) ).

fof(c_0_1298,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X15,X14)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X15,c_Set_Oinsert(X16,X13,X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_776])]) ).

fof(c_0_1299,plain,
    ! [X6,X7] :
      ( ~ c_Relation_Otrans(X7,X6)
      | c_Relation_Otrans(X7,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X7,X7),tc_HOL_Obool),X6,c_Relation_OId(X7))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_777])]) ).

fof(c_0_1300,plain,
    ! [X6,X7] : c_Relation_OField(X7,X6) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X7,tc_HOL_Obool),c_Relation_ODomain(X7,X7,X6),c_Relation_ORange(X7,X7,X6)),
    inference(variable_rename,[status(thm)],[c_0_778]) ).

fof(c_0_1301,plain,
    ! [X6,X7] : c_Transitive__Closure_Ortrancl(X7,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X7,X7),tc_HOL_Obool),X6,c_Relation_OId(X7))) = c_Transitive__Closure_Ortrancl(X7,X6),
    inference(variable_rename,[status(thm)],[c_0_779]) ).

fof(c_0_1302,plain,
    ! [X16,X17] : c_Transitive__Closure_Ortrancl(X17,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X17,X17),tc_HOL_Obool),X16,c_Relation_OId(X17))) = c_Transitive__Closure_Ortrancl(X17,X16),
    inference(variable_rename,[status(thm)],[c_0_780]) ).

fof(c_0_1303,plain,
    ! [X6,X7] : c_Transitive__Closure_Otrancl(X7,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X7,X7),tc_HOL_Obool),X6,c_Relation_OId(X7))) = c_Transitive__Closure_Ortrancl(X7,X6),
    inference(variable_rename,[status(thm)],[c_0_781]) ).

fof(c_0_1304,plain,
    ! [X17,X18,X19,X20] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X19,X20),X18,X17)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X19,X20),X18,X17)
        | ~ class_Orderings_Oord(X20) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X19,X20),X17,X18)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X19,X20),X18,X17)
        | ~ class_Orderings_Oord(X20) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X19,X20),X18,X17)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X19,X20),X17,X18)
        | c_Orderings_Oord__class_Oless(tc_fun(X19,X20),X18,X17)
        | ~ class_Orderings_Oord(X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_782])])]) ).

fof(c_0_1305,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_member(X16,X15,X14)
      | c_member(X16,X15,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X13,X14)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_783])]) ).

fof(c_0_1306,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_member(X16,X15,X14)
      | c_member(X16,X15,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X14,X13)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_784])]) ).

fof(c_0_1307,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ c_member(X16,X15,X14)
        | c_member(X16,X15,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X13,X14)) )
      & ( ~ c_member(X16,X15,X13)
        | c_member(X16,X15,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X16,tc_HOL_Obool),X13,X14)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_785])])]) ).

fof(c_0_1308,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Groups_Ominus(X21)
      | hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X20,X21),X19,X18),X17) = c_Groups_Ominus__class_Ominus(X21,hAPP(X19,X17),hAPP(X18,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_786])]) ).

fof(c_0_1309,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Lattices_Olattice(X21)
      | hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X20,X21),X19,X18),X17) = c_Lattices_Osemilattice__sup__class_Osup(X21,hAPP(X19,X17),hAPP(X18,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_787])]) ).

fof(c_0_1310,plain,
    ! [X15,X16,X17,X18] :
      ( ( c_Set_Oinsert(X18,X17,X16) != c_Set_Oinsert(X18,X17,X15)
        | X16 = X15
        | c_member(X18,X17,X15)
        | c_member(X18,X17,X16) )
      & ( X16 != X15
        | c_Set_Oinsert(X18,X17,X16) = c_Set_Oinsert(X18,X17,X15)
        | c_member(X18,X17,X15)
        | c_member(X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_788])])]) ).

fof(c_0_1311,plain,
    ! [X6,X7] : c_Relation_Oirrefl(X7,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X7,X7),tc_HOL_Obool),X6,c_Relation_OId(X7))),
    inference(variable_rename,[status(thm)],[c_0_789]) ).

fof(c_0_1312,plain,
    ! [X17,X18,X19,X20] :
      ( ~ c_Wellfounded_Owf(X20,X19)
      | c_Wellfounded_Owf(X18,hAPP(c_Relation_Oinv__image(X20,X18,X19),X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_790])]) ).

fof(c_0_1313,plain,
    ! [X17,X18,X19,X20] :
      ( ~ c_Relation_Otrans(X20,X19)
      | c_Relation_Otrans(X18,hAPP(c_Relation_Oinv__image(X20,X18,X19),X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_791])]) ).

fof(c_0_1314,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X16,tc_HOL_Obool),X15,X14)
      | ~ c_member(X16,X13,X15)
      | c_member(X16,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_792])]) ).

fof(c_0_1315,plain,
    ! [X15,X16,X17,X18] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,X16)
      | ~ c_member(X18,X15,X17)
      | c_member(X18,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_793])]) ).

fof(c_0_1316,plain,
    ! [X15,X16,X17,X18] :
      ( ~ c_member(X18,X17,X16)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X16,X15)
      | c_member(X18,X17,X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_794])]) ).

fof(c_0_1317,plain,
    ! [X15,X16,X17,X18] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,X16)
      | ~ c_member(X18,X15,X17)
      | c_member(X18,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_795])]) ).

fof(c_0_1318,plain,
    ! [X13,X14,X15,X16] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X15,X14)
      | ~ c_member(X16,X13,X15)
      | c_member(X16,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_796])]) ).

fof(c_0_1319,plain,
    ! [X6] : c_Order__Relation_Owell__order__on(X6,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_797]) ).

fof(c_0_1320,plain,
    ! [X6] : c_Order__Relation_Olinear__order__on(X6,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_798]) ).

fof(c_0_1321,plain,
    ! [X6] : c_Relation_Orefl__on(X6,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_799]) ).

fof(c_0_1322,plain,
    ! [X6] : c_Order__Relation_Opreorder__on(X6,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_800]) ).

fof(c_0_1323,plain,
    ! [X6] : c_Order__Relation_Opartial__order__on(X6,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_801]) ).

fof(c_0_1324,plain,
    ! [X13,X14,X15] :
      ( X15 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X14,X14),tc_HOL_Obool))
      | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X14,X14),tc_HOL_Obool),X15,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_802])]) ).

fof(c_0_1325,plain,
    ! [X60,X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | c_Orderings_Oord__class_Oless(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X61,X60)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_803])]) ).

fof(c_0_1326,plain,
    ! [X60,X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | c_Orderings_Oord__class_Oless(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X60,X61)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_804])]) ).

fof(c_0_1327,plain,
    ! [X60,X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X61,X60)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_805])]) ).

fof(c_0_1328,plain,
    ! [X60,X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X60,X61)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_806])]) ).

fof(c_0_1329,plain,
    ! [X13,X14] : c_Relation_OImage(X14,X14,c_Relation_OId(X14),X13) = X13,
    inference(variable_rename,[status(thm)],[c_0_807]) ).

fof(c_0_1330,plain,
    ! [X6] : c_Transitive__Closure_Otrancl(X6,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_808]) ).

fof(c_0_1331,plain,
    ! [X12,X13,X14,X15] :
      ( ~ c_member(X15,X14,X13)
      | c_member(X15,X14,c_Set_Oinsert(X15,X12,X13)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_809])]) ).

fof(c_0_1332,plain,
    ! [X12,X13,X14,X15] :
      ( ( ~ c_member(X15,X14,X13)
        | c_member(X15,X14,c_Set_Oinsert(X15,X12,X13)) )
      & ( X14 != X12
        | c_member(X15,X14,c_Set_Oinsert(X15,X12,X13)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_810])])]) ).

fof(c_0_1333,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool),X15,X14)
        | X15 != X14 )
      & ( c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool),X14,X15)
        | X15 != X14 )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X18,X17)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X17,X18)
        | X18 = X17 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_811])])])])]) ).

fof(c_0_1334,plain,
    ! [X13,X14,X15] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,X13)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X13,X14)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_812])]) ).

fof(c_0_1335,axiom,
    c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than),
    c_0_813 ).

fof(c_0_1336,plain,
    ! [X79,X80] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X80,X79)
      | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X79,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X79,X80)) = X80 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_814])]) ).

fof(c_0_1337,plain,
    ! [X78,X79,X80] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X80,X79)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X80,X78),X79) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_815])]) ).

fof(c_0_1338,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Orderings_Oord(X21)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X20,X21),X19,X18)
      | c_Orderings_Oord__class_Oless__eq(X21,hAPP(X19,X17),hAPP(X18,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_816])]) ).

fof(c_0_1339,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Orderings_Oord(X21)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X20,X21),X19,X18)
      | c_Orderings_Oord__class_Oless__eq(X21,hAPP(X19,X17),hAPP(X18,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_817])]) ).

fof(c_0_1340,plain,
    ! [X32,X33,X34] :
      ( ~ c_Wellfounded_Oacyclic(X34,X33)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),X32,X33)
      | c_Wellfounded_Oacyclic(X34,X32) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_818])]) ).

fof(c_0_1341,plain,
    ! [X32,X33,X34] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),X33,X32)
      | ~ c_Relation_Oantisym(X34,X32)
      | c_Relation_Oantisym(X34,X33) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_819])]) ).

fof(c_0_1342,plain,
    ! [X41,X42,X43] :
      ( ~ c_Wellfounded_Owf(X43,X42)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X43,X43),tc_HOL_Obool),X41,X42)
      | c_Wellfounded_Owf(X43,X41) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_820])]) ).

fof(c_0_1343,plain,
    ! [X17,X18] : c_Relation_ORange(X18,X17,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X18,X17),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_821]) ).

fof(c_0_1344,plain,
    ! [X17,X18] : c_Relation_ODomain(X18,X17,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X18,X17),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_822]) ).

fof(c_0_1345,plain,
    ! [X41,X42,X43] :
      ( ~ c_Wellfounded_OwfP(X43,X42)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X43,tc_fun(X43,tc_HOL_Obool)),X41,X42)
      | c_Wellfounded_OwfP(X43,X41) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_823])]) ).

fof(c_0_1346,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Oorder(X66)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless(X66,X63,X65)
      | c_Orderings_Oord__class_Oless(X66,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_824])]) ).

fof(c_0_1347,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Opreorder(X66)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless(X66,X64,X63)
      | c_Orderings_Oord__class_Oless(X66,X65,X63) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_825])]) ).

fof(c_0_1348,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Oorder(X66)
      | ~ c_Orderings_Oord__class_Oless(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X63,X65)
      | c_Orderings_Oord__class_Oless(X66,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_826])]) ).

fof(c_0_1349,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Opreorder(X66)
      | ~ c_Orderings_Oord__class_Oless(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X64,X63)
      | c_Orderings_Oord__class_Oless(X66,X65,X63) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_827])]) ).

fof(c_0_1350,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Oorder(X66)
      | ~ c_Orderings_Oord__class_Oless(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless(X66,X63,X65)
      | c_Orderings_Oord__class_Oless(X66,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_828])]) ).

fof(c_0_1351,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Opreorder(X66)
      | ~ c_Orderings_Oord__class_Oless(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless(X66,X64,X63)
      | c_Orderings_Oord__class_Oless(X66,X65,X63) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_829])]) ).

fof(c_0_1352,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Oorder(X66)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X63,X65)
      | c_Orderings_Oord__class_Oless__eq(X66,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_830])]) ).

fof(c_0_1353,plain,
    ! [X63,X64,X65,X66] :
      ( ~ class_Orderings_Opreorder(X66)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X65,X64)
      | ~ c_Orderings_Oord__class_Oless__eq(X66,X64,X63)
      | c_Orderings_Oord__class_Oless__eq(X66,X65,X63) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_831])]) ).

fof(c_0_1354,plain,
    ! [X41,X42,X43] :
      ( ~ c_member(tc_prod(X43,X43),X42,X41)
      | c_member(tc_prod(X43,X43),X42,c_Transitive__Closure_Otrancl(X43,X41)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_832])]) ).

fof(c_0_1355,plain,
    ! [X41,X42,X43] :
      ( ~ c_member(tc_prod(X43,X43),X42,X41)
      | c_member(tc_prod(X43,X43),X42,c_Transitive__Closure_Ortrancl(X43,X41)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_833])]) ).

fof(c_0_1356,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X13,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)))
        | X13 = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)) )
      & ( X15 != c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool))
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X15,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_834])])])]) ).

fof(c_0_1357,plain,
    ! [X13,X14,X15] : c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X15,tc_HOL_Obool),X14,X13),X14),
    inference(variable_rename,[status(thm)],[c_0_835]) ).

fof(c_0_1358,plain,
    ! [X13,X14,X15] : c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13)),
    inference(variable_rename,[status(thm)],[c_0_836]) ).

fof(c_0_1359,plain,
    ! [X13,X14,X15] : c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X13,X14)),
    inference(variable_rename,[status(thm)],[c_0_837]) ).

fof(c_0_1360,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( c_Order__Relation_Opartial__order__on(X15,X14,X13)
        | ~ c_Order__Relation_Olinear__order__on(X15,X14,X13) )
      & ( c_Relation_Ototal__on(X15,X14,X13)
        | ~ c_Order__Relation_Olinear__order__on(X15,X14,X13) )
      & ( ~ c_Order__Relation_Opartial__order__on(X18,X17,X16)
        | ~ c_Relation_Ototal__on(X18,X17,X16)
        | c_Order__Relation_Olinear__order__on(X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_838])])])])]) ).

fof(c_0_1361,plain,
    ! [X15,X16] : c_Set_Othe__elem(X16,c_Set_Oinsert(X16,X15,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool)))) = X15,
    inference(variable_rename,[status(thm)],[c_0_839]) ).

fof(c_0_1362,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | c_Lattices_Osemilattice__sup__class_Osup(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61)) = c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_840])]) ).

fof(c_0_1363,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Olattice(X63)
      | c_Lattices_Osemilattice__sup__class_Osup(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61)) = c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_841])]) ).

fof(c_0_1364,plain,
    ! [X29,X30,X31] :
      ( ~ class_Lattices_Osemilattice__sup(X31)
      | c_Lattices_Osemilattice__sup__class_Osup(X31,X30,c_Lattices_Osemilattice__sup__class_Osup(X31,X30,X29)) = c_Lattices_Osemilattice__sup__class_Osup(X31,X30,X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_842])]) ).

fof(c_0_1365,plain,
    ! [X79,X80,X81] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X81,X80)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X80,X79)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X81,X79) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_843])]) ).

fof(c_0_1366,plain,
    ! [X15,X16,X17] : c_Set_Oinsert(X17,X16,c_Set_Oinsert(X17,X16,X15)) = c_Set_Oinsert(X17,X16,X15),
    inference(variable_rename,[status(thm)],[c_0_844]) ).

fof(c_0_1367,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( ( c_Relation_ORange(X19,X18,X17) != c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool))
        | X17 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X19,X18),tc_HOL_Obool)) )
      & ( X20 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X22,X21),tc_HOL_Obool))
        | c_Relation_ORange(X22,X21,X20) = c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_845])])])]) ).

fof(c_0_1368,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( ( c_Relation_ODomain(X19,X18,X17) != c_Orderings_Obot__class_Obot(tc_fun(X19,tc_HOL_Obool))
        | X17 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X19,X18),tc_HOL_Obool)) )
      & ( X20 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X22,X21),tc_HOL_Obool))
        | c_Relation_ODomain(X22,X21,X20) = c_Orderings_Obot__class_Obot(tc_fun(X22,tc_HOL_Obool)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_846])])])]) ).

fof(c_0_1369,plain,
    ! [X13,X14] : ~ c_Orderings_Oord__class_Oless(tc_fun(X14,tc_HOL_Obool),X13,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_847]) ).

fof(c_0_1370,plain,
    ! [X15,X16,X17] :
      ( ( c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Opreorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X17,X15,X16)
        | ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Opreorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | c_Orderings_Oord__class_Oless__eq(X17,X15,X16)
        | c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Opreorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_848])])]) ).

fof(c_0_1371,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,X13)
        | c_Orderings_Oord__class_Oless(tc_fun(X15,tc_HOL_Obool),X14,X13)
        | X14 = X13 )
      & ( ~ c_Orderings_Oord__class_Oless(tc_fun(X18,tc_HOL_Obool),X17,X16)
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,X16) )
      & ( X17 != X16
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_849])])])])]) ).

fof(c_0_1372,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,X13)
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X15,tc_HOL_Obool),X14,X13) )
      & ( X14 != X13
        | ~ c_Orderings_Oord__class_Oless(tc_fun(X15,tc_HOL_Obool),X14,X13) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,X16)
        | X17 = X16
        | c_Orderings_Oord__class_Oless(tc_fun(X18,tc_HOL_Obool),X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_850])])])])]) ).

fof(c_0_1373,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,X13)
        | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13) = X13 )
      & ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X18,tc_HOL_Obool),X17,X16) != X16
        | c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),X17,X16) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_851])])])]) ).

fof(c_0_1374,plain,
    ! [X13,X14,X15] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,X13)
      | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13) = X13 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_852])]) ).

fof(c_0_1375,plain,
    ! [X13,X14,X15] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,X13)
      | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X13,X14) = X13 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_853])]) ).

fof(c_0_1376,plain,
    ! [X57,X58,X59,X60] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X60,tc_HOL_Obool),X59,X58)
      | ~ hBOOL(hAPP(X59,X57))
      | hBOOL(hAPP(X58,X57)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_854])])])]) ).

fof(c_0_1377,plain,
    ! [X57,X58,X59,X60] :
      ( ~ hBOOL(hAPP(X60,X59))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X58,tc_HOL_Obool),X60,X57)
      | hBOOL(hAPP(X57,X59)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_855])]) ).

fof(c_0_1378,plain,
    ! [X13,X14,X15] :
      ( ~ c_Orderings_Oord__class_Oless(tc_fun(X15,tc_HOL_Obool),X14,X13)
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X14,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_856])]) ).

fof(c_0_1379,plain,
    ! [X6] : c_Relation_OField(X6,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_857]) ).

fof(c_0_1380,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( X14 = c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool))
        | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13) != c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool)) )
      & ( X13 = c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool))
        | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13) != c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool)) )
      & ( X17 != c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool))
        | X16 != c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool))
        | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X18,tc_HOL_Obool),X17,X16) = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_858])])])])]) ).

fof(c_0_1381,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( c_Relation_Otrans(X15,X13)
        | ~ c_Order__Relation_Ostrict__linear__order__on(X15,X14,X13) )
      & ( c_Relation_Oirrefl(X15,X13)
        | ~ c_Order__Relation_Ostrict__linear__order__on(X15,X14,X13) )
      & ( c_Relation_Ototal__on(X15,X14,X13)
        | ~ c_Order__Relation_Ostrict__linear__order__on(X15,X14,X13) )
      & ( ~ c_Relation_Otrans(X18,X16)
        | ~ c_Relation_Oirrefl(X18,X16)
        | ~ c_Relation_Ototal__on(X18,X17,X16)
        | c_Order__Relation_Ostrict__linear__order__on(X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_859])])])])]) ).

fof(c_0_1382,plain,
    ! [X12,X13,X14] : c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X13,c_Set_Oinsert(X14,X12,X13)),
    inference(variable_rename,[status(thm)],[c_0_860]) ).

fof(c_0_1383,plain,
    ! [X71,X72,X73,X74,X75] :
      ( ( X74 != X73
        | X72 = X71
        | c_Groups_Ominus__class_Ominus(X75,X74,X73) != c_Groups_Ominus__class_Ominus(X75,X72,X71)
        | ~ class_Groups_Oab__group__add(X75) )
      & ( X72 != X71
        | X74 = X73
        | c_Groups_Ominus__class_Ominus(X75,X74,X73) != c_Groups_Ominus__class_Ominus(X75,X72,X71)
        | ~ class_Groups_Oab__group__add(X75) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_861])])]) ).

fof(c_0_1384,plain,
    ! [X15,X16,X17] :
      ( ( c_Orderings_Oord__class_Oless(X17,X16,X15)
        | X16 = X15
        | ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) )
      & ( X16 != X15
        | ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_862])])]) ).

fof(c_0_1385,plain,
    ! [X6,X7] :
      ( ~ c_member(X7,esk79_2(X6,X7),c_Wellfounded_Oacc(X7,X6))
      | c_Wellfounded_Owf(X7,X6) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_863])])]) ).

fof(c_0_1386,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( ~ c_Wellfounded_Owf(X7,X6)
        | c_member(X7,X8,c_Wellfounded_Oacc(X7,X6)) )
      & ( ~ c_member(X10,esk71_2(X9,X10),c_Wellfounded_Oacc(X10,X9))
        | c_Wellfounded_Owf(X10,X9) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_864])])])])]) ).

fof(c_0_1387,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Oorder(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X61,X62)
      | X61 = X62 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_865])]) ).

fof(c_0_1388,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Oorder(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X61,X62)
      | X62 = X61 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_866])]) ).

fof(c_0_1389,plain,
    ! [X15,X16,X17] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X17,X15,X16)
        | X15 = X16
        | ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ class_Orderings_Oorder(X17) )
      & ( X15 != X16
        | c_Orderings_Oord__class_Oless__eq(X17,X15,X16)
        | ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ class_Orderings_Oorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_867])])]) ).

fof(c_0_1390,plain,
    ! [X15,X16,X17] :
      ( ( c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | X16 != X15
        | ~ class_Orderings_Oorder(X17) )
      & ( c_Orderings_Oord__class_Oless__eq(X17,X15,X16)
        | X16 != X15
        | ~ class_Orderings_Oorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ c_Orderings_Oord__class_Oless__eq(X17,X15,X16)
        | X16 = X15
        | ~ class_Orderings_Oorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_868])])]) ).

fof(c_0_1391,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | ~ c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_869])]) ).

fof(c_0_1392,plain,
    ! [X15,X16,X17] :
      ( ( c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | c_Orderings_Oord__class_Oless(X17,X15,X16)
        | ~ class_Orderings_Olinorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless(X17,X15,X16)
        | ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_870])])]) ).

fof(c_0_1393,plain,
    ! [X15,X16,X17] :
      ( ( c_Orderings_Oord__class_Oless(X17,X16,X15)
        | c_Orderings_Oord__class_Oless__eq(X17,X15,X16)
        | ~ class_Orderings_Olinorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X17,X15,X16)
        | ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_871])])]) ).

fof(c_0_1394,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Opreorder(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | ~ c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_872])]) ).

fof(c_0_1395,plain,
    ! [X29,X30,X31] :
      ( ~ class_Orderings_Oorder(X31)
      | ~ c_Orderings_Oord__class_Oless(X31,X30,X29)
      | ~ c_Orderings_Oord__class_Oless(X31,X29,X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_873])]) ).

fof(c_0_1396,plain,
    ! [X29,X30,X31] :
      ( ~ class_Orderings_Opreorder(X31)
      | ~ c_Orderings_Oord__class_Oless(X31,X30,X29)
      | ~ c_Orderings_Oord__class_Oless(X31,X29,X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_874])]) ).

fof(c_0_1397,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Opreorder(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | ~ c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_875])]) ).

fof(c_0_1398,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Opreorder(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | ~ c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_876])]) ).

fof(c_0_1399,plain,
    ! [X15,X16,X17] :
      ( ( c_Orderings_Oord__class_Oless(X17,X16,X15)
        | c_Orderings_Oord__class_Oless(X17,X15,X16)
        | X16 = X15
        | ~ class_Orderings_Olinorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless(X17,X15,X16)
        | ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) )
      & ( X16 != X15
        | ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_877])])]) ).

fof(c_0_1400,plain,
    ! [X16,X17] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X17,X17),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X17,X16),c_Relation_OId(X17)) = c_Transitive__Closure_Ortrancl(X17,X16),
    inference(variable_rename,[status(thm)],[c_0_878]) ).

fof(c_0_1401,plain,
    ! [X6,X7] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X7,X7),tc_HOL_Obool),c_Transitive__Closure_Otrancl(X7,X6),c_Relation_OId(X7)) = c_Transitive__Closure_Ortrancl(X7,X6),
    inference(variable_rename,[status(thm)],[c_0_879]) ).

fof(c_0_1402,plain,
    ! [X6] : c_Transitive__Closure_Ortrancl(X6,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))) = c_Relation_OId(X6),
    inference(variable_rename,[status(thm)],[c_0_880]) ).

fof(c_0_1403,plain,
    ! [X6] : c_Relation_Oantisym(X6,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_881]) ).

fof(c_0_1404,plain,
    ! [X6] : c_Wellfounded_Owf(X6,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_882]) ).

fof(c_0_1405,plain,
    ! [X73,X74] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X74,X73)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X73,X74)
      | X74 = X73 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_883])]) ).

fof(c_0_1406,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Olattice(X63)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_884])]) ).

fof(c_0_1407,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_885])]) ).

fof(c_0_1408,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Olattice(X63)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X61,X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_886])]) ).

fof(c_0_1409,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,c_Lattices_Osemilattice__sup__class_Osup(X63,X61,X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_887])]) ).

fof(c_0_1410,plain,
    ! [X9,X10] : ~ c_member(X10,X9,c_Orderings_Obot__class_Obot(tc_fun(X10,tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_888]) ).

fof(c_0_1411,plain,
    ! [X11,X12] : ~ c_member(X12,X11,c_Orderings_Obot__class_Obot(tc_fun(X12,tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[c_0_889]) ).

fof(c_0_1412,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( c_Order__Relation_Opreorder__on(X15,X14,X13)
        | ~ c_Order__Relation_Opartial__order__on(X15,X14,X13) )
      & ( c_Relation_Oantisym(X15,X13)
        | ~ c_Order__Relation_Opartial__order__on(X15,X14,X13) )
      & ( ~ c_Order__Relation_Opreorder__on(X18,X17,X16)
        | ~ c_Relation_Oantisym(X18,X16)
        | c_Order__Relation_Opartial__order__on(X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_890])])])])]) ).

fof(c_0_1413,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( c_Relation_Orefl__on(X15,X14,X13)
        | ~ c_Order__Relation_Opreorder__on(X15,X14,X13) )
      & ( c_Relation_Otrans(X15,X13)
        | ~ c_Order__Relation_Opreorder__on(X15,X14,X13) )
      & ( ~ c_Relation_Orefl__on(X18,X17,X16)
        | ~ c_Relation_Otrans(X18,X16)
        | c_Order__Relation_Opreorder__on(X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_891])])])])]) ).

fof(c_0_1414,plain,
    ! [X12,X13,X14] : c_member(X14,X13,c_Set_Oinsert(X14,X13,X12)),
    inference(variable_rename,[status(thm)],[c_0_892]) ).

fof(c_0_1415,plain,
    ! [X73,X74] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X74,X73),X74),
    inference(variable_rename,[status(thm)],[c_0_893]) ).

fof(c_0_1416,plain,
    ! [X13,X14] : c_Groups_Ominus__class_Ominus(tc_fun(X14,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)),X13) = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_894]) ).

fof(c_0_1417,plain,
    ! [X13,X14,X15] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X14,X13) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X15,tc_HOL_Obool),X13,X14),
    inference(variable_rename,[status(thm)],[c_0_895]) ).

fof(c_0_1418,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oorder(X65)
      | ~ c_Orderings_Oord__class_Oless(X65,X64,X63)
      | X64 != X62
      | c_Orderings_Oord__class_Oless(X65,X62,X63) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_896])]) ).

fof(c_0_1419,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oord(X65)
      | ~ c_Orderings_Oord__class_Oless(X65,X64,X63)
      | X63 != X62
      | c_Orderings_Oord__class_Oless(X65,X64,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_897])]) ).

fof(c_0_1420,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oorder(X65)
      | X64 != X63
      | ~ c_Orderings_Oord__class_Oless(X65,X62,X63)
      | c_Orderings_Oord__class_Oless(X65,X62,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_898])]) ).

fof(c_0_1421,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oord(X65)
      | X64 != X63
      | ~ c_Orderings_Oord__class_Oless(X65,X63,X62)
      | c_Orderings_Oord__class_Oless(X65,X64,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_899])]) ).

fof(c_0_1422,plain,
    ! [X15,X16,X17] :
      ( ( c_Orderings_Oord__class_Oless(X17,X15,X16)
        | X15 = X16
        | c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) )
      & ( X15 != X16
        | ~ c_Orderings_Oord__class_Oless(X17,X15,X16)
        | c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_900])])]) ).

fof(c_0_1423,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oorder(X65)
      | ~ c_Orderings_Oord__class_Oless__eq(X65,X64,X63)
      | X64 != X62
      | c_Orderings_Oord__class_Oless__eq(X65,X62,X63) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_901])]) ).

fof(c_0_1424,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oord(X65)
      | ~ c_Orderings_Oord__class_Oless__eq(X65,X64,X63)
      | X63 != X62
      | c_Orderings_Oord__class_Oless__eq(X65,X64,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_902])]) ).

fof(c_0_1425,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oorder(X65)
      | X64 != X63
      | ~ c_Orderings_Oord__class_Oless__eq(X65,X62,X63)
      | c_Orderings_Oord__class_Oless__eq(X65,X62,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_903])]) ).

fof(c_0_1426,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oord(X65)
      | X64 != X63
      | ~ c_Orderings_Oord__class_Oless__eq(X65,X63,X62)
      | c_Orderings_Oord__class_Oless__eq(X65,X64,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_904])]) ).

fof(c_0_1427,plain,
    ! [X29,X30,X31] :
      ( ~ class_Orderings_Oorder(X31)
      | ~ c_Orderings_Oord__class_Oless__eq(X31,X30,X29)
      | X29 = X30
      | c_Orderings_Oord__class_Oless(X31,X30,X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_905])]) ).

fof(c_0_1428,plain,
    ! [X29,X30,X31] :
      ( ~ class_Orderings_Oorder(X31)
      | ~ c_Orderings_Oord__class_Oless__eq(X31,X30,X29)
      | X30 = X29
      | c_Orderings_Oord__class_Oless(X31,X30,X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_906])]) ).

fof(c_0_1429,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Oorder(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Orderings_Oord__class_Oless(X63,X62,X61)
      | X62 = X61 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_907])]) ).

fof(c_0_1430,plain,
    ! [X29,X30,X31] :
      ( ~ class_Orderings_Oorder(X31)
      | X30 = X29
      | ~ c_Orderings_Oord__class_Oless__eq(X31,X29,X30)
      | c_Orderings_Oord__class_Oless(X31,X29,X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_908])]) ).

fof(c_0_1431,plain,
    ! [X29,X30,X31] :
      ( ~ class_Orderings_Oorder(X31)
      | X30 = X29
      | ~ c_Orderings_Oord__class_Oless__eq(X31,X30,X29)
      | c_Orderings_Oord__class_Oless(X31,X30,X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_909])]) ).

fof(c_0_1432,plain,
    ! [X15,X16,X17] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | X16 = X15
        | c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) )
      & ( X16 != X15
        | c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Olinorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_910])])]) ).

fof(c_0_1433,plain,
    ! [X15,X16,X17] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | c_Orderings_Oord__class_Oless(X17,X16,X15)
        | X16 = X15
        | ~ class_Orderings_Oorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ class_Orderings_Oorder(X17) )
      & ( X16 != X15
        | c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ class_Orderings_Oorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_911])])]) ).

fof(c_0_1434,plain,
    ! [X15,X16,X17] :
      ( ( c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Oorder(X17) )
      & ( X16 != X15
        | ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Oorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | X16 = X15
        | c_Orderings_Oord__class_Oless(X17,X16,X15)
        | ~ class_Orderings_Oorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_912])])]) ).

fof(c_0_1435,plain,
    ! [X15,X16,X17] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | c_Lattices_Osemilattice__sup__class_Osup(X17,X16,X15) = X15
        | ~ class_Lattices_Osemilattice__sup(X17) )
      & ( c_Lattices_Osemilattice__sup__class_Osup(X17,X16,X15) != X15
        | c_Orderings_Oord__class_Oless__eq(X17,X16,X15)
        | ~ class_Lattices_Osemilattice__sup(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_913])])]) ).

fof(c_0_1436,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61) = X61 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_914])]) ).

fof(c_0_1437,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | ~ c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Lattices_Osemilattice__sup__class_Osup(X63,X61,X62) = X61 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_915])]) ).

fof(c_0_1438,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Opreorder(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,X61) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_916])]) ).

fof(c_0_1439,plain,
    ! [X6] : c_Relation_OId__on(X6,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X6,X6),tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_917]) ).

fof(c_0_1440,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ c_member(X16,X15,X18)
        | c_member(X16,X15,X17)
        | X18 != X17 )
      & ( ~ c_member(X16,X15,X17)
        | c_member(X16,X15,X18)
        | X18 != X17 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_918])])]) ).

fof(c_0_1441,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ c_member(X16,X18,X15)
        | c_member(X16,X17,X15)
        | X18 != X17 )
      & ( ~ c_member(X16,X17,X15)
        | c_member(X16,X18,X15)
        | X18 != X17 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_919])])]) ).

fof(c_0_1442,plain,
    ! [X13,X14,X15,X16] :
      ( X16 != X15
      | ~ c_member(X14,X15,X13)
      | c_member(X14,X16,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_920])]) ).

fof(c_0_1443,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ c_member(X14,X13,X16)
        | c_member(X14,X13,X16)
        | X16 != X15 )
      & ( ~ c_member(X14,X13,X15)
        | c_member(X14,X13,X16)
        | X16 != X15 )
      & ( ~ c_member(X14,X13,X16)
        | c_member(X14,X13,X15)
        | X16 != X15 )
      & ( ~ c_member(X14,X13,X15)
        | c_member(X14,X13,X15)
        | X16 != X15 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_921])])]) ).

fof(c_0_1444,plain,
    ! [X16,X17,X18] :
      ( ~ c_Wellfounded_Owf(X18,X17)
      | c_Wellfounded_Owf(X18,c_Wellfounded_Omlex__prod(X18,X16,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_922])]) ).

fof(c_0_1445,plain,
    ! [X16,X17] :
      ( ~ c_Wellfounded_Owf(X17,X16)
      | c_Wellfounded_OwfP(X17,c_FunDef_Oin__rel(X17,X17,X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_923])]) ).

fof(c_0_1446,plain,
    ! [X13,X14,X15] :
      ( ~ c_member(X15,X14,X13)
      | c_Set_Oinsert(X15,X14,X13) = X13 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_924])]) ).

fof(c_0_1447,plain,
    ! [X73,X74] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X74,X73)
      | X74 = X73
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X74,X73) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_925])]) ).

fof(c_0_1448,plain,
    ! [X70,X71,X72,X73] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X70)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X70)
        | X71 = X70 )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X73,X72)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X73,X72) )
      & ( X73 != X72
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X73,X72) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_926])])])])]) ).

fof(c_0_1449,plain,
    ! [X70,X71,X72,X73] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X71,X70)
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X70) )
      & ( X71 != X70
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X70) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X73,X72)
        | X73 = X72
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X73,X72) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_927])])])])]) ).

fof(c_0_1450,plain,
    ! [X73,X74] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X74,X73)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X74,X73) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_928])]) ).

fof(c_0_1451,plain,
    ! [X73,X74] :
      ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X74,X73)
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X74,X73) )
      & ( X74 != X73
        | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X74,X73) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_929])])]) ).

fof(c_0_1452,plain,
    ! [X61,X62] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X62,X61)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X62,X61) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_930])]) ).

fof(c_0_1453,plain,
    ! [X6,X7] : c_Relation_ORange(X7,X7,c_Transitive__Closure_Otrancl(X7,X6)) = c_Relation_ORange(X7,X7,X6),
    inference(variable_rename,[status(thm)],[c_0_931]) ).

fof(c_0_1454,plain,
    ! [X6,X7] : c_Relation_ODomain(X7,X7,c_Transitive__Closure_Otrancl(X7,X6)) = c_Relation_ODomain(X7,X7,X6),
    inference(variable_rename,[status(thm)],[c_0_932]) ).

fof(c_0_1455,plain,
    ! [X13,X14,X15] :
      ( X15 != c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))
      | ~ c_member(X14,X13,X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_933])]) ).

fof(c_0_1456,plain,
    ! [X13,X14,X15,X16,X17] :
      ( ( ~ c_member(X14,X15,X13)
        | X13 != c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)) )
      & ( X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool))
        | c_member(X17,esk82_2(X16,X17),X16) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_934])])])])]) ).

fof(c_0_1457,plain,
    ! [X13,X14,X16,X17,X18] :
      ( ( c_member(X14,esk81_2(X13,X14),X13)
        | X13 = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)) )
      & ( X16 != c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool))
        | ~ c_member(X17,X18,X16) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_935])])])])]) ).

fof(c_0_1458,plain,
    ! [X12,X13] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X13,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool)),X12) = X12,
    inference(variable_rename,[status(thm)],[c_0_936]) ).

fof(c_0_1459,plain,
    ! [X13,X14] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X14,tc_HOL_Obool),X13,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))) = X13,
    inference(variable_rename,[status(thm)],[c_0_937]) ).

fof(c_0_1460,plain,
    ! [X13,X14] : c_Groups_Ominus__class_Ominus(tc_fun(X14,tc_HOL_Obool),X13,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))) = X13,
    inference(variable_rename,[status(thm)],[c_0_938]) ).

fof(c_0_1461,plain,
    ! [X13,X14] : c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)),X13),
    inference(variable_rename,[status(thm)],[c_0_939]) ).

fof(c_0_1462,plain,
    ! [X13,X14,X15] : c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool)) != c_Set_Oinsert(X15,X14,X13),
    inference(variable_rename,[status(thm)],[c_0_940]) ).

fof(c_0_1463,plain,
    ! [X13,X14,X15] : c_Set_Oinsert(X15,X14,X13) != c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_941]) ).

fof(c_0_1464,plain,
    ! [X4,X5] :
      ( hAPP(X5,esk1_2(X4,X5)) != hAPP(X4,esk1_2(X4,X5))
      | X5 = X4 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_942])])]) ).

fof(c_0_1465,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | c_Orderings_Oord__class_Oless(X63,X62,X61)
      | X62 = X61
      | c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_943])]) ).

fof(c_0_1466,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | X62 = X61
      | c_Orderings_Oord__class_Oless(X63,X62,X61)
      | c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_944])]) ).

fof(c_0_1467,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | c_Orderings_Oord__class_Oless(X63,X62,X61)
      | X62 = X61
      | c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_945])]) ).

fof(c_0_1468,plain,
    ! [X15,X16,X17] :
      ( ( X16 = X15
        | c_Orderings_Oord__class_Oless(X17,X16,X15)
        | c_Orderings_Oord__class_Oless(X17,X15,X16)
        | ~ class_Orderings_Olinorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless(X17,X16,X15)
        | X16 != X15
        | ~ class_Orderings_Olinorder(X17) )
      & ( ~ c_Orderings_Oord__class_Oless(X17,X15,X16)
        | X16 != X15
        | ~ class_Orderings_Olinorder(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_946])])]) ).

fof(c_0_1469,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_947])]) ).

fof(c_0_1470,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | c_Orderings_Oord__class_Oless(X63,X62,X61)
      | c_Orderings_Oord__class_Oless__eq(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_948])]) ).

fof(c_0_1471,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Orderings_Oord__class_Oless(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_949])]) ).

fof(c_0_1472,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Orderings_Oord__class_Oless__eq(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_950])]) ).

fof(c_0_1473,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Olinorder(X63)
      | c_Orderings_Oord__class_Oless__eq(X63,X62,X61)
      | c_Orderings_Oord__class_Oless__eq(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_951])]) ).

fof(c_0_1474,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( ~ c_member(X17,X16,X15)
        | hBOOL(hAPP(X15,X16)) )
      & ( ~ hBOOL(hAPP(X18,X19))
        | c_member(X20,X19,X18) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_952])])])]) ).

fof(c_0_1475,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Osemilattice__sup(X63)
      | c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61) = c_Lattices_Osemilattice__sup__class_Osup(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_953])]) ).

fof(c_0_1476,plain,
    ! [X61,X62,X63] :
      ( ~ class_Lattices_Olattice(X63)
      | c_Lattices_Osemilattice__sup__class_Osup(X63,X62,X61) = c_Lattices_Osemilattice__sup__class_Osup(X63,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_954])]) ).

fof(c_0_1477,plain,
    ! [X29,X30,X31] :
      ( ~ class_Lattices_Osemilattice__sup(X31)
      | c_Lattices_Osemilattice__sup__class_Osup(X31,X30,X29) = c_Lattices_Osemilattice__sup__class_Osup(X31,X29,X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_955])]) ).

fof(c_0_1478,plain,
    ! [X61,X62] :
      ( X62 = X61
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X62,X61)
      | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_956])]) ).

fof(c_0_1479,plain,
    ! [X70,X71,X72,X73] :
      ( ( X71 = X70
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X70)
        | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X70,X71) )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X73,X72)
        | X73 != X72 )
      & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X73)
        | X73 != X72 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_957])])])])]) ).

fof(c_0_1480,plain,
    ! [X6,X7] : c_Relation_Ototal__on(X7,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool)),X6),
    inference(variable_rename,[status(thm)],[c_0_958]) ).

fof(c_0_1481,plain,
    ! [X73,X74] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X74,X73)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X73,X74) ),
    inference(variable_rename,[status(thm)],[c_0_959]) ).

fof(c_0_1482,plain,
    ! [X15,X16,X17] :
      ( ( X16 = c_Orderings_Obot__class_Obot(X17)
        | c_Lattices_Osemilattice__sup__class_Osup(X17,X16,X15) != c_Orderings_Obot__class_Obot(X17)
        | ~ class_Lattices_Obounded__lattice__bot(X17) )
      & ( X15 = c_Orderings_Obot__class_Obot(X17)
        | c_Lattices_Osemilattice__sup__class_Osup(X17,X16,X15) != c_Orderings_Obot__class_Obot(X17)
        | ~ class_Lattices_Obounded__lattice__bot(X17) )
      & ( X16 != c_Orderings_Obot__class_Obot(X17)
        | X15 != c_Orderings_Obot__class_Obot(X17)
        | c_Lattices_Osemilattice__sup__class_Osup(X17,X16,X15) = c_Orderings_Obot__class_Obot(X17)
        | ~ class_Lattices_Obounded__lattice__bot(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_960])])]) ).

fof(c_0_1483,plain,
    ! [X13,X14] : c_Groups_Ominus__class_Ominus(tc_fun(X14,tc_HOL_Obool),X13,X13) = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)),
    inference(variable_rename,[status(thm)],[c_0_961]) ).

fof(c_0_1484,plain,
    ! [X15,X16,X17] :
      ( ~ c_Wellfounded_Owf(X17,X16)
      | c_member(X17,X15,c_Wellfounded_Oacc(X17,X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_962])]) ).

fof(c_0_1485,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( ~ c_member(X17,X16,c_fequal(X15))
        | X16 = X15 )
      & ( X19 != X18
        | c_member(X20,X19,c_fequal(X18)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_963])])])]) ).

fof(c_0_1486,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Oorder(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | X61 != X62 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_964])]) ).

fof(c_0_1487,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Oorder(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | X62 != X61 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_965])]) ).

fof(c_0_1488,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Oorder(X63)
      | ~ c_Orderings_Oord__class_Oless(X63,X62,X61)
      | X62 != X61 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_966])]) ).

fof(c_0_1489,plain,
    ! [X60,X61] :
      ( ~ class_Orderings_Opreorder(X61)
      | ~ c_Orderings_Oord__class_Oless(X61,X60,X60) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_967])]) ).

fof(c_0_1490,plain,
    ! [X75,X76] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X76,X75)
      | X76 != X75 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_968])]) ).

fof(c_0_1491,plain,
    ! [X73,X74] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X74,X73)
      | X73 != X74 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_969])]) ).

fof(c_0_1492,plain,
    ! [X6,X7] :
      ( ~ c_Wellfounded_Owf(X7,X6)
      | c_Wellfounded_Owf(tc_fun(X7,tc_HOL_Obool),c_Wellfounded_Omin__ext(X7,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_970])]) ).

fof(c_0_1493,plain,
    ! [X6,X7] :
      ( ~ c_Wellfounded_Owf(X7,X6)
      | c_Wellfounded_Owf(tc_fun(X7,tc_HOL_Obool),c_Wellfounded_Omax__ext(X7,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_971])]) ).

fof(c_0_1494,plain,
    ! [X72] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X72),
    inference(variable_rename,[status(thm)],[c_0_972]) ).

fof(c_0_1495,plain,
    ! [X72] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X72,X72),
    inference(variable_rename,[status(thm)],[c_0_973]) ).

fof(c_0_1496,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Obot(X19)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(X18,X19)),X17) = c_Orderings_Obot__class_Obot(X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_974])]) ).

fof(c_0_1497,plain,
    ! [X13,X14] : c_Relation_ODomain(X14,X14,c_Relation_OId__on(X14,X13)) = X13,
    inference(variable_rename,[status(thm)],[c_0_975]) ).

fof(c_0_1498,plain,
    ! [X13,X14] : c_Relation_ORange(X14,X14,c_Relation_OId__on(X14,X13)) = X13,
    inference(variable_rename,[status(thm)],[c_0_976]) ).

fof(c_0_1499,plain,
    ! [X13,X14,X15] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool),X15,X14)
        | X15 != X14 )
      & ( c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool),X14,X15)
        | X15 != X14 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_977])])]) ).

fof(c_0_1500,plain,
    ! [X13,X14,X15] :
      ( X15 != X14
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool),X14,X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_978])]) ).

fof(c_0_1501,plain,
    ! [X13,X14,X15] :
      ( X15 != X14
      | c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool),X15,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_979])]) ).

fof(c_0_1502,plain,
    ! [X13,X14] : c_Relation_Osingle__valued(X14,X14,c_Relation_OId__on(X14,X13)),
    inference(variable_rename,[status(thm)],[c_0_980]) ).

fof(c_0_1503,plain,
    ! [X13,X14] : c_Relation_Orefl__on(X14,X13,c_Relation_OId__on(X14,X13)),
    inference(variable_rename,[status(thm)],[c_0_981]) ).

fof(c_0_1504,plain,
    ! [X13,X14] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X14,tc_HOL_Obool),X13,X13) = X13,
    inference(variable_rename,[status(thm)],[c_0_982]) ).

fof(c_0_1505,plain,
    ! [X13,X14] : c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X13,X13),
    inference(variable_rename,[status(thm)],[c_0_983]) ).

fof(c_0_1506,plain,
    ! [X15,X16] :
      ( ~ hBOOL(hAPP(c_fequal(X16),X15))
      | X16 = X15 ),
    inference(variable_rename,[status(thm)],[c_0_984]) ).

fof(c_0_1507,plain,
    ! [X60,X61] :
      ( ~ class_Lattices_Obounded__lattice__bot(X61)
      | c_Lattices_Osemilattice__sup__class_Osup(X61,c_Orderings_Obot__class_Obot(X61),X60) = X60 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_985])]) ).

fof(c_0_1508,plain,
    ! [X60,X61] :
      ( ~ class_Lattices_Obounded__lattice__bot(X61)
      | c_Lattices_Osemilattice__sup__class_Osup(X61,X60,c_Orderings_Obot__class_Obot(X61)) = X60 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_986])]) ).

fof(c_0_1509,plain,
    ! [X60,X61] :
      ( ~ class_Orderings_Obot(X61)
      | c_Orderings_Oord__class_Oless__eq(X61,c_Orderings_Obot__class_Obot(X61),X60) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_987])]) ).

fof(c_0_1510,plain,
    ! [X61,X62,X63] :
      ( ~ class_Orderings_Opreorder(X63)
      | X62 != X61
      | c_Orderings_Oord__class_Oless__eq(X63,X62,X61) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_988])]) ).

fof(c_0_1511,plain,
    ! [X6,X7] :
      ( ~ c_Wellfounded_Owf(X7,X6)
      | c_Wellfounded_Owf(X7,c_Transitive__Closure_Otrancl(X7,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_989])]) ).

fof(c_0_1512,plain,
    ! [X6,X7] :
      ( ~ c_Wellfounded_Oacyclic(X7,X6)
      | c_Relation_Oantisym(X7,c_Transitive__Closure_Ortrancl(X7,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_990])]) ).

fof(c_0_1513,plain,
    ! [X60,X61] :
      ( ~ class_Lattices_Osemilattice__sup(X61)
      | c_Lattices_Osemilattice__sup__class_Osup(X61,X60,X60) = X60 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_991])]) ).

fof(c_0_1514,plain,
    ! [X29,X30] :
      ( ~ class_Lattices_Osemilattice__sup(X30)
      | c_Lattices_Osemilattice__sup__class_Osup(X30,X29,X29) = X29 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_992])]) ).

fof(c_0_1515,plain,
    ! [X60,X61] :
      ( ~ class_Orderings_Opreorder(X61)
      | c_Orderings_Oord__class_Oless__eq(X61,X60,X60) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_993])]) ).

fof(c_0_1516,plain,
    ! [X6] : c_Relation_Osingle__valued(X6,X6,c_Relation_OId(X6)),
    inference(variable_rename,[status(thm)],[c_0_994]) ).

fof(c_0_1517,plain,
    ! [X73,X74] :
      ( X74 != X73
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X74,X73) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_995])]) ).

fof(c_0_1518,plain,
    ! [X6] : c_Wellfounded_Omeasure(X6) = c_Relation_Oinv__image(tc_Nat_Onat,X6,c_Wellfounded_Oless__than),
    inference(variable_rename,[status(thm)],[c_0_996]) ).

fof(c_0_1519,plain,
    ! [X16,X17] : c_Transitive__Closure_Otrancl(X17,c_Transitive__Closure_Ortrancl(X17,X16)) = c_Transitive__Closure_Ortrancl(X17,X16),
    inference(variable_rename,[status(thm)],[c_0_997]) ).

fof(c_0_1520,plain,
    ! [X16,X17] : c_Transitive__Closure_Ortrancl(X17,c_Transitive__Closure_Otrancl(X17,X16)) = c_Transitive__Closure_Ortrancl(X17,X16),
    inference(variable_rename,[status(thm)],[c_0_998]) ).

fof(c_0_1521,plain,
    ! [X6,X7] : c_Transitive__Closure_Ortrancl(X7,c_Transitive__Closure_Ortrancl(X7,X6)) = c_Transitive__Closure_Ortrancl(X7,X6),
    inference(variable_rename,[status(thm)],[c_0_999]) ).

fof(c_0_1522,plain,
    ! [X72] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X72,X72),
    inference(variable_rename,[status(thm)],[c_0_1000]) ).

fof(c_0_1523,plain,
    ! [X6,X7] : c_Wellfounded_Owf(X7,hAPP(c_Wellfounded_Omeasure(X7),X6)),
    inference(variable_rename,[status(thm)],[c_0_1001]) ).

fof(c_0_1524,plain,
    ! [X15,X16] :
      ( X16 != X15
      | hBOOL(hAPP(c_fequal(X16),X15)) ),
    inference(variable_rename,[status(thm)],[c_0_1002]) ).

fof(c_0_1525,plain,
    ! [X13,X14] : c_Relation_Oantisym(X14,c_Relation_OId__on(X14,X13)),
    inference(variable_rename,[status(thm)],[c_0_1003]) ).

fof(c_0_1526,plain,
    ! [X6,X7] : c_Relation_Otrans(X7,c_Transitive__Closure_Otrancl(X7,X6)),
    inference(variable_rename,[status(thm)],[c_0_1004]) ).

fof(c_0_1527,plain,
    ! [X6,X7] : c_Relation_Otrans(X7,c_Transitive__Closure_Ortrancl(X7,X6)),
    inference(variable_rename,[status(thm)],[c_0_1005]) ).

fof(c_0_1528,plain,
    ! [X13,X14] : c_Relation_Otrans(X14,c_Relation_OId__on(X14,X13)),
    inference(variable_rename,[status(thm)],[c_0_1006]) ).

fof(c_0_1529,plain,
    ! [X6,X7] :
      ( ~ c_Relation_Otrans(X7,X6)
      | c_Transitive__Closure_Otrancl(X7,X6) = X6 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1007])]) ).

fof(c_0_1530,plain,
    ! [X92,X93] :
      ( ~ class_Groups_Ominus(X93)
      | class_Groups_Ominus(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1008])]) ).

fof(c_0_1531,plain,
    ! [X92,X93] :
      ( ~ class_Orderings_Obot(X93)
      | class_Orderings_Obot(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1009])]) ).

fof(c_0_1532,plain,
    ! [X92,X93] :
      ( ~ class_Orderings_Oord(X93)
      | class_Orderings_Oord(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1010])]) ).

fof(c_0_1533,plain,
    ! [X92,X93] :
      ( ~ class_Orderings_Oorder(X93)
      | class_Orderings_Oorder(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1011])]) ).

fof(c_0_1534,plain,
    ! [X92,X93] :
      ( ~ class_Lattices_Olattice(X93)
      | class_Lattices_Olattice(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1012])]) ).

fof(c_0_1535,plain,
    ! [X92,X93] :
      ( ~ class_Orderings_Opreorder(X93)
      | class_Orderings_Opreorder(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1013])]) ).

fof(c_0_1536,plain,
    ! [X92,X93] :
      ( ~ class_Lattices_Olattice(X93)
      | class_Lattices_Osemilattice__sup(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1014])]) ).

fof(c_0_1537,plain,
    ! [X92,X93] :
      ( ~ class_Lattices_Obounded__lattice(X93)
      | class_Lattices_Obounded__lattice__bot(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1015])]) ).

fof(c_0_1538,plain,
    ! [X92,X93] :
      ( ~ class_Lattices_Obounded__lattice(X93)
      | class_Lattices_Obounded__lattice(tc_fun(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1016])]) ).

fof(c_0_1539,plain,
    ! [X6,X7] :
      ( ~ c_Wellfounded_Owf(X7,X6)
      | c_Wellfounded_Oacyclic(X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1017])]) ).

fof(c_0_1540,axiom,
    c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    c_0_1018 ).

fof(c_0_1541,axiom,
    c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    c_0_1019 ).

fof(c_0_1542,axiom,
    c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    c_0_1020 ).

fof(c_0_1543,plain,
    ! [X6] : c_Relation_Oantisym(X6,c_Relation_OId(X6)),
    inference(variable_rename,[status(thm)],[c_0_1021]) ).

fof(c_0_1544,plain,
    ! [X6] : c_Relation_Otrans(X6,c_Relation_OId(X6)),
    inference(variable_rename,[status(thm)],[c_0_1022]) ).

fof(c_0_1545,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    c_0_1023 ).

fof(c_0_1546,axiom,
    c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    c_0_1024 ).

fof(c_0_1547,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
    c_0_1025 ).

fof(c_0_1548,axiom,
    c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than),
    c_0_1026 ).

fof(c_0_1549,axiom,
    class_Groups_Ominus(tc_HOL_Obool),
    c_0_1027 ).

fof(c_0_1550,axiom,
    class_Orderings_Obot(tc_HOL_Obool),
    c_0_1028 ).

fof(c_0_1551,axiom,
    class_Orderings_Oord(tc_HOL_Obool),
    c_0_1029 ).

fof(c_0_1552,axiom,
    class_Orderings_Oorder(tc_HOL_Obool),
    c_0_1030 ).

fof(c_0_1553,axiom,
    class_Lattices_Olattice(tc_HOL_Obool),
    c_0_1031 ).

fof(c_0_1554,axiom,
    class_Orderings_Opreorder(tc_HOL_Obool),
    c_0_1032 ).

fof(c_0_1555,axiom,
    class_Lattices_Osemilattice__sup(tc_HOL_Obool),
    c_0_1033 ).

fof(c_0_1556,axiom,
    class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
    c_0_1034 ).

fof(c_0_1557,axiom,
    class_Groups_Ominus(tc_Nat_Onat),
    c_0_1035 ).

fof(c_0_1558,axiom,
    class_Orderings_Obot(tc_Nat_Onat),
    c_0_1036 ).

fof(c_0_1559,axiom,
    class_Orderings_Oord(tc_Nat_Onat),
    c_0_1037 ).

fof(c_0_1560,axiom,
    class_Orderings_Oorder(tc_Nat_Onat),
    c_0_1038 ).

fof(c_0_1561,axiom,
    class_Lattices_Olattice(tc_Nat_Onat),
    c_0_1039 ).

fof(c_0_1562,axiom,
    class_Orderings_Olinorder(tc_Nat_Onat),
    c_0_1040 ).

fof(c_0_1563,axiom,
    class_Orderings_Opreorder(tc_Nat_Onat),
    c_0_1041 ).

fof(c_0_1564,axiom,
    class_Lattices_Osemilattice__sup(tc_Nat_Onat),
    c_0_1042 ).

fof(c_0_1565,axiom,
    class_Lattices_Obounded__lattice(tc_HOL_Obool),
    c_0_1043 ).

cnf(c_0_1566,plain,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk38_8(X8,X7,X6,X5,X4,X3,X2,X1),esk39_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),esk41_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1567,plain,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,esk36_8(X8,X7,X6,X5,X4,X3,X2,X1),esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1568,plain,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,esk38_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk39_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1569,plain,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,esk36_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1570,plain,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1571,plain,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),esk35_8(X8,X7,X6,X5,X4,X3,X2,X1))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1572,plain,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | hBOOL(hAPP(hAPP(X8,esk40_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1573,plain,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | hBOOL(hAPP(hAPP(X8,esk34_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1574,plain,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk42_7(X7,X6,X5,X4,X3,X2,X1),esk43_7(X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_1046]) ).

cnf(c_0_1575,plain,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,esk42_7(X7,X6,X5,X4,X3,X2,X1),esk43_7(X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_1046]) ).

cnf(c_0_1576,plain,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1577,plain,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1578,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk22_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,esk22_7(X6,X5,X4,X3,X2,X1,X7))) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1579,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | X6 != hAPP(hAPP(X4,X7),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk27_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,esk27_7(X6,X5,X4,X3,X2,X1,X7))) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1580,plain,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | hAPP(hAPP(X3,X6),X7) = hAPP(hAPP(X3,esk86_7(X7,X6,X5,X4,X3,X2,X1)),esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1581,plain,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | hAPP(hAPP(X3,X6),X7) = hAPP(hAPP(X3,esk86_7(X7,X6,X5,X4,X3,X2,X1)),esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1582,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk22_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1583,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk27_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | X6 != hAPP(hAPP(X4,X7),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1584,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk25_6(X6,X4,X2,X3,X5,X1),hAPP(X6,esk25_6(X6,X4,X2,X3,X5,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1050]) ).

cnf(c_0_1585,plain,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | c_member(X1,esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1586,plain,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_member(X1,esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1587,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(esk21_6(X6,X5,X4,X3,X2,X1),X7))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1588,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(esk26_6(X6,X5,X4,X3,X2,X1),X7))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1589,plain,
    ( c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X6,X4,X5)
    | hAPP(X3,esk50_6(X6,X5,X4,X3,X2,X1)) != hAPP(X6,esk50_6(X6,X5,X4,X3,X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1051]) ).

cnf(c_0_1590,plain,
    ( hAPP(hAPP(X4,X6),X5) = hAPP(hAPP(X4,esk21_6(X6,X5,X4,X3,X2,X1)),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1591,plain,
    ( X6 = hAPP(hAPP(X4,esk26_6(X6,X5,X4,X3,X2,X1)),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1592,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk25_6(X6,X4,X2,X3,X5,X1),X5),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1050]) ).

cnf(c_0_1593,plain,
    ( c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X6,X4,X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk50_6(X6,X5,X4,X3,X2,X1),X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1051]) ).

cnf(c_0_1594,plain,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1052]) ).

cnf(c_0_1595,plain,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1053]) ).

cnf(c_0_1596,plain,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X9)
    | ~ c_member(X1,X8,X5)
    | hAPP(hAPP(X3,X6),X7) != hAPP(hAPP(X3,X8),X9) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1597,plain,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X6,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X7)
    | ~ c_member(X1,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1054]) ).

cnf(c_0_1598,plain,
    ( hBOOL(c_Product__Type_Ocurry(X1,X2,tc_HOL_Obool,X3,X4,X5))
    | ~ hBOOL(hAPP(X3,c_Product__Type_OPair(X1,X2,X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1055]) ).

cnf(c_0_1599,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk69_5(X5,X4,X3,X2,X1),esk70_5(X5,X4,X3,X2,X1)),X5)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1056]) ).

cnf(c_0_1600,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk68_5(X5,X4,X3,X2,X1),esk67_5(X5,X4,X3,X2,X1)),X5)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1057]) ).

cnf(c_0_1601,plain,
    ( hBOOL(hAPP(X5,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk48_5(X5,X4,X3,X2,X1),esk49_5(X5,X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1602,plain,
    ( hBOOL(hAPP(X5,X2))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk46_5(X5,X4,X3,X2,X1),esk47_5(X5,X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1603,plain,
    ( hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,esk49_5(X5,X4,X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1604,plain,
    ( hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,esk46_5(X5,X4,X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1605,plain,
    c_Nitpick_Owf__wfrec_H(X1,X2,X3,X4,X5) = hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Nitpick_Owf__wfrec(X1,X2,X3,X4),X3,X5)),X5),
    inference(split_conjunct,[status(thm)],[c_0_1060]) ).

cnf(c_0_1606,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk69_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1056]) ).

cnf(c_0_1607,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk67_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_1057]) ).

cnf(c_0_1608,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk84_5(X4,X3,X2,X1,X5),X5),X2)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1609,plain,
    ( hAPP(c_Recdef_Owfrec(X1,X2,X3,X4),X5) = hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Recdef_Owfrec(X1,X2,X3,X4),X3,X5)),X5)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1062]) ).

cnf(c_0_1610,plain,
    ( hAPP(c_Recdef_Owfrec(X1,X2,X3,X4),X5) = hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Recdef_Owfrec(X1,X2,X3,X4),X3,X5)),X5)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1063]) ).

cnf(c_0_1611,plain,
    c_Product__Type_Ocurry(X1,X2,X3,X4,X5,X6) = hAPP(X4,c_Product__Type_OPair(X1,X2,X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_1064]) ).

cnf(c_0_1612,plain,
    ( hBOOL(hAPP(X5,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk48_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1613,plain,
    ( hBOOL(hAPP(X5,X2))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk47_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1614,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1615,plain,
    ( c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,esk88_5(X5,X4,X3,X2,X1),X2),X4)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1066]) ).

cnf(c_0_1616,plain,
    ( c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,esk83_5(X5,X4,X3,X2,X1),X2),X4)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1067]) ).

cnf(c_0_1617,plain,
    c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_1068]) ).

cnf(c_0_1618,plain,
    c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_1069]) ).

cnf(c_0_1619,plain,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | hAPP(hAPP(X3,X6),X7) != X4
    | X5 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1620,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | esk69_5(X5,X4,X3,X2,X1) != esk70_5(X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1056]) ).

cnf(c_0_1621,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | esk68_5(X5,X4,X3,X2,X1) != esk67_5(X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1057]) ).

cnf(c_0_1622,plain,
    c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4),
    inference(split_conjunct,[status(thm)],[c_0_1070]) ).

cnf(c_0_1623,plain,
    c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4),
    inference(split_conjunct,[status(thm)],[c_0_1071]) ).

cnf(c_0_1624,plain,
    ( hBOOL(hAPP(X5,X3))
    | hBOOL(hAPP(X5,esk48_5(X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1625,plain,
    ( hBOOL(hAPP(X5,X2))
    | hBOOL(hAPP(X5,esk47_5(X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1626,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | X3 = X5
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1627,plain,
    ( c_Relation_Orel__comp(X1,X1,X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1072]) ).

cnf(c_0_1628,plain,
    ( hAPP(X1,X2) = hAPP(hAPP(X3,c_Recdef_Ocut(X4,X5,X1,X6,X2)),X2)
    | ~ c_Wellfounded_Owf(X4,X6)
    | X1 != c_Recdef_Owfrec(X4,X5,X6,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1073]) ).

cnf(c_0_1629,plain,
    ( c_FunDef_Oreduction__pair(X1,c_Product__Type_OPair(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_Orel__comp(X1,X1,X1,X2,X3),X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1074]) ).

cnf(c_0_1630,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Relation_Orel__comp(X1,X5,X2,X6,X7))
    | ~ c_member(tc_prod(X5,X2),c_Product__Type_OPair(X5,X2,X8,X4),X7)
    | ~ c_member(tc_prod(X1,X5),c_Product__Type_OPair(X1,X5,X3,X8),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1075]) ).

cnf(c_0_1631,plain,
    ( hAPP(X1,X2) = hAPP(X3,X2)
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X5),X6)
    | c_Recdef_Ocut(X4,X7,X1,X6,X5) != c_Recdef_Ocut(X4,X7,X3,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1051]) ).

cnf(c_0_1632,plain,
    ( c_member(X1,esk84_5(X4,X3,X2,X1,X5),X4)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1633,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__weak)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__weak)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1076]) ).

cnf(c_0_1634,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__weak)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__weak)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1077]) ).

cnf(c_0_1635,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__strict)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__strict)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1078]) ).

cnf(c_0_1636,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__strict)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__strict)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1079]) ).

cnf(c_0_1637,plain,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X3,X5)),c_Recdef_Osame__fst(X1,X2,X6,X7))
    | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X5),hAPP(X7,X3))
    | ~ hBOOL(hAPP(X6,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1080]) ).

cnf(c_0_1638,plain,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | X3 != X5 ),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1639,plain,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1640,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,esk85_4(X4,X3,X2,X1)),X2)
    | ~ c_member(X1,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1641,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(split_conjunct,[status(thm)],[c_0_1081]) ).

cnf(c_0_1642,plain,
    ( c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)),c_Wellfounded_Omax__ext(X1,X6))
    | ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3,X5),c_Wellfounded_Omax__ext(X1,X6))
    | ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X2,X4),c_Wellfounded_Omax__ext(X1,X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_1082]) ).

cnf(c_0_1643,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(X1,X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_Equiv__Relations_Oequiv(X1,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1083]) ).

cnf(c_0_1644,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,esk63_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,esk64_4(X1,X5,X4,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1645,plain,
    ( c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,esk54_4(X2,X1,X4,X3),esk54_4(X2,X1,X4,X3)),c_Transitive__Closure_Otrancl(X3,X4))
    | X1 != X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1085]) ).

cnf(c_0_1646,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,esk80_4(X4,X3,X2,X1)),hAPP(X4,esk80_4(X4,X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1086]) ).

cnf(c_0_1647,plain,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X3,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1087]) ).

cnf(c_0_1648,plain,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X3,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1088]) ).

cnf(c_0_1649,plain,
    ( c_member(X3,esk88_5(X5,X4,X3,X2,X1),X5)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1066]) ).

cnf(c_0_1650,plain,
    ( c_member(X3,esk83_5(X5,X4,X3,X2,X1),X5)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1067]) ).

cnf(c_0_1651,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1081]) ).

cnf(c_0_1652,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Relation_Osingle__valued(X1,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1089]) ).

cnf(c_0_1653,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk56_4(X4,X3,X2,X1)),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1090]) ).

cnf(c_0_1654,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk55_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1091]) ).

cnf(c_0_1655,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk56_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1090]) ).

cnf(c_0_1656,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk55_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1091]) ).

cnf(c_0_1657,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Product__Type_OPair(X3,X4,esk7_3(X4,X3,X1),esk8_3(X4,X3,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1092]) ).

cnf(c_0_1658,plain,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)),
    inference(split_conjunct,[status(thm)],[c_0_1093]) ).

cnf(c_0_1659,plain,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)),
    inference(split_conjunct,[status(thm)],[c_0_1094]) ).

cnf(c_0_1660,plain,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1095]) ).

cnf(c_0_1661,plain,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1096]) ).

cnf(c_0_1662,plain,
    ( ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1097]) ).

cnf(c_0_1663,plain,
    ( ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1098]) ).

cnf(c_0_1664,plain,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1099]) ).

cnf(c_0_1665,plain,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1100]) ).

cnf(c_0_1666,plain,
    c_Transitive__Closure_Ortrancl(X1,X2) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_OId(X1),c_Relation_Orel__comp(X1,X1,X1,c_Transitive__Closure_Ortrancl(X1,X2),X2)),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1667,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk45_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1102]) ).

cnf(c_0_1668,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk44_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1103]) ).

cnf(c_0_1669,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk52_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1104]) ).

cnf(c_0_1670,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk51_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1105]) ).

cnf(c_0_1671,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk45_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1102]) ).

cnf(c_0_1672,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk44_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1103]) ).

cnf(c_0_1673,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk52_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1104]) ).

cnf(c_0_1674,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk51_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1105]) ).

cnf(c_0_1675,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,esk63_4(X1,X5,X4,X3),X4)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,esk64_4(X1,X5,X4,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1676,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,esk64_4(X1,X5,X4,X3),X5)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,esk63_4(X1,X5,X4,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1677,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1106]) ).

cnf(c_0_1678,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1107]) ).

cnf(c_0_1679,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1108]) ).

cnf(c_0_1680,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1109]) ).

cnf(c_0_1681,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1110]) ).

cnf(c_0_1682,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1111]) ).

cnf(c_0_1683,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1112]) ).

cnf(c_0_1684,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1113]) ).

cnf(c_0_1685,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1114]) ).

cnf(c_0_1686,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1687,plain,
    ( hBOOL(hAPP(X1,esk59_4(X1,X5,X4,X3)))
    | hBOOL(hAPP(X1,esk60_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1688,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1117]) ).

cnf(c_0_1689,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1118]) ).

cnf(c_0_1690,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1119]) ).

cnf(c_0_1691,plain,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))
    | ~ c_Wellfounded_Owf(X2,hAPP(X4,esk76_4(X1,X4,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1120]) ).

cnf(c_0_1692,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)
    | ~ c_member(X2,X4,c_Relation_OImage(X1,X2,X5,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(split_conjunct,[status(thm)],[c_0_1121]) ).

cnf(c_0_1693,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | c_member(X1,esk85_4(X4,X3,X2,X1),X3)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1694,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,hAPP(X2,X3),hAPP(X2,X4)),X5)
    | ~ c_member(tc_prod(X6,X6),c_Product__Type_OPair(X6,X6,X3,X4),hAPP(c_Relation_Oinv__image(X1,X6,X5),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1122]) ).

cnf(c_0_1695,plain,
    ( X2 = X3
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1123]) ).

cnf(c_0_1696,plain,
    ( c_member(X3,esk59_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,esk60_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1697,plain,
    ( hBOOL(hAPP(X1,esk59_4(X1,X5,X4,X3)))
    | c_member(X3,esk60_4(X1,X5,X4,X3),X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1698,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1124]) ).

cnf(c_0_1699,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1125]) ).

cnf(c_0_1700,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),hAPP(c_Relation_Oinv__image(X4,X1,X5),X6))
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,hAPP(X6,X2),hAPP(X6,X3)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1122]) ).

cnf(c_0_1701,plain,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,c_Set_Oinsert(X3,X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1121]) ).

cnf(c_0_1702,plain,
    ( X3 = X4
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1126]) ).

cnf(c_0_1703,plain,
    ( c_Wellfounded_Owf(X1,X4)
    | ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1097]) ).

cnf(c_0_1704,plain,
    ( c_Wellfounded_Oacyclic(X1,X4)
    | ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1098]) ).

cnf(c_0_1705,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Oantisym(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1127]) ).

cnf(c_0_1706,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Oantisym(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1128]) ).

cnf(c_0_1707,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1129]) ).

cnf(c_0_1708,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1130]) ).

cnf(c_0_1709,plain,
    ( X3 = X4
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1131]) ).

cnf(c_0_1710,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,esk19_4(X4,X2,X3,X1)),X4)
    | ~ c_member(X1,X3,c_Relation_ODomain(X1,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1132]) ).

cnf(c_0_1711,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk18_4(X3,X1,X4,X2),X4),X3)
    | ~ c_member(X2,X4,c_Relation_ORange(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1133]) ).

cnf(c_0_1712,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk16_4(X3,X1,X4,X2),X4),X3)
    | ~ c_member(X2,X4,c_Relation_ORange(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1134]) ).

cnf(c_0_1713,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,esk15_4(X4,X2,X3,X1)),X4)
    | ~ c_member(X1,X3,c_Relation_ODomain(X1,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1135]) ).

cnf(c_0_1714,plain,
    c_Relation_OField(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OField(X1,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1136]) ).

cnf(c_0_1715,plain,
    ( c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1097]) ).

cnf(c_0_1716,plain,
    ( c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Wellfounded_Oacyclic(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1098]) ).

cnf(c_0_1717,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1137]) ).

cnf(c_0_1718,plain,
    c_Product__Type_Ointernal__split(X1,X2,X3,X4,c_Product__Type_OPair(X1,X2,X5,X6)) = hAPP(hAPP(X4,X5),X6),
    inference(split_conjunct,[status(thm)],[c_0_1138]) ).

cnf(c_0_1719,plain,
    c_Product__Type_Oprod_Oprod__rec(X1,X2,X3,X4,c_Product__Type_OPair(X1,X2,X5,X6)) = hAPP(hAPP(X4,X5),X6),
    inference(split_conjunct,[status(thm)],[c_0_1139]) ).

cnf(c_0_1720,plain,
    ( hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(X1,esk62_4(X1,X2,X3,X4)))
    | ~ c_member(X4,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1721,plain,
    ( hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(X1,esk62_4(X1,X2,X3,X4)))
    | ~ c_member(X4,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1722,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk13_3(X3,X2,X1),esk14_3(X3,X2,X1)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_1723,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk14_3(X3,X2,X1),esk13_3(X3,X2,X1)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_1724,plain,
    c_Relation_OImage(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4),X5) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_OImage(X1,X2,X3,X5),c_Relation_OImage(X1,X2,X4,X5)),
    inference(split_conjunct,[status(thm)],[c_0_1141]) ).

cnf(c_0_1725,plain,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))
    | hBOOL(hAPP(X3,esk76_4(X1,X4,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1120]) ).

cnf(c_0_1726,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1142]) ).

cnf(c_0_1727,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1143]) ).

cnf(c_0_1728,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1143]) ).

cnf(c_0_1729,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1144]) ).

cnf(c_0_1730,plain,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | ~ c_member(X3,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1145]) ).

cnf(c_0_1731,plain,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | ~ c_member(X3,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1067]) ).

cnf(c_0_1732,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1146]) ).

cnf(c_0_1733,plain,
    ( c_member(X3,esk59_4(X1,X5,X4,X3),X4)
    | c_member(X3,esk60_4(X1,X5,X4,X3),X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1734,plain,
    c_Relation_OImage(X1,X2,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X1,X2,X3,X5)),
    inference(split_conjunct,[status(thm)],[c_0_1147]) ).

cnf(c_0_1735,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1736,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,esk63_4(X1,X5,X4,X3),X4)
    | c_member(X3,esk64_4(X1,X5,X4,X3),X5)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1737,plain,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X3,X4)
    | ~ c_member(X1,X5,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,esk72_3(X2,X1,X4)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1149]) ).

cnf(c_0_1738,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1739,plain,
    ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X3),X4),X5))
    | ~ c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X4,X5),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1150]) ).

cnf(c_0_1740,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | X3 = X2
    | ~ c_member(X1,X2,X5)
    | ~ c_member(X1,X3,X5)
    | ~ c_Relation_Ototal__on(X1,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_1741,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1151]) ).

cnf(c_0_1742,plain,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,esk6_3(X3,X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1092]) ).

cnf(c_0_1743,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X5,X6))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X6)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1152]) ).

cnf(c_0_1744,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1745,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)
    | ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X5),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1150]) ).

cnf(c_0_1746,plain,
    c_Relation_ORange(X1,X2,c_Set_Oinsert(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)) = c_Set_Oinsert(X2,X4,c_Relation_ORange(X1,X2,X5)),
    inference(split_conjunct,[status(thm)],[c_0_1153]) ).

cnf(c_0_1747,plain,
    c_Relation_ODomain(X1,X2,c_Set_Oinsert(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)) = c_Set_Oinsert(X1,X3,c_Relation_ODomain(X1,X2,X5)),
    inference(split_conjunct,[status(thm)],[c_0_1154]) ).

cnf(c_0_1748,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1749,plain,
    c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__weak),
    inference(split_conjunct,[status(thm)],[c_0_1155]) ).

cnf(c_0_1750,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1156]) ).

cnf(c_0_1751,plain,
    ( c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1126]) ).

cnf(c_0_1752,plain,
    ( X2 = X3
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin) ),
    inference(split_conjunct,[status(thm)],[c_0_1123]) ).

cnf(c_0_1753,plain,
    ( c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1131]) ).

cnf(c_0_1754,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1157]) ).

cnf(c_0_1755,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1156]) ).

cnf(c_0_1756,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)),c_Relation_ODomain(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4))),
    inference(split_conjunct,[status(thm)],[c_0_1158]) ).

cnf(c_0_1757,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,X3),c_Relation_ORange(X2,X1,X4)),c_Relation_ORange(X2,X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X4))),
    inference(split_conjunct,[status(thm)],[c_0_1159]) ).

cnf(c_0_1758,plain,
    ( c_Relation_OImage(X1,X1,c_Transitive__Closure_Ortrancl(X1,X2),X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1160]) ).

cnf(c_0_1759,plain,
    ( hBOOL(hAPP(X1,esk61_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1760,plain,
    ( hBOOL(hAPP(X1,esk61_4(X1,X4,X5,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1761,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1161]) ).

cnf(c_0_1762,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1162]) ).

cnf(c_0_1763,plain,
    ( c_member(X1,X2,c_Relation_OImage(X1,X1,X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(X1,X2,X4)
    | ~ c_Equiv__Relations_Oequiv(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1163]) ).

cnf(c_0_1764,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1164]) ).

cnf(c_0_1765,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1165]) ).

cnf(c_0_1766,plain,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X1,X3))
    | X2 = X4
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1166]) ).

cnf(c_0_1767,plain,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1768,plain,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk10_2(X2,X1),esk12_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1167]) ).

cnf(c_0_1769,plain,
    ( c_Nitpick_Orefl_H(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk5_2(X2,X1),esk5_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1168]) ).

cnf(c_0_1770,plain,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk2_2(X2,X1),esk4_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1119]) ).

cnf(c_0_1771,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3))
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X3),hAPP(c_Wellfounded_Omeasure(X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1169]) ).

cnf(c_0_1772,plain,
    ( c_member(X1,X2,c_Relation_ORange(X3,X1,X4))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1134]) ).

cnf(c_0_1773,plain,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X3,X4))
    | ~ c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1135]) ).

cnf(c_0_1774,plain,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X3,X4))
    | ~ c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1170]) ).

cnf(c_0_1775,plain,
    ( c_member(X1,X2,c_Relation_ORange(X3,X1,X4))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1171]) ).

cnf(c_0_1776,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk31_3(X3,X2,X1),esk32_3(X3,X2,X1)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1172]) ).

cnf(c_0_1777,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk31_3(X3,X2,X1),esk33_3(X3,X2,X1)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1172]) ).

cnf(c_0_1778,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk28_3(X3,X2,X1),esk29_3(X3,X2,X1)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1124]) ).

cnf(c_0_1779,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk28_3(X3,X2,X1),esk30_3(X3,X2,X1)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1124]) ).

cnf(c_0_1780,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X2),X5)
    | ~ c_Relation_Orefl__on(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1173]) ).

cnf(c_0_1781,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X5)
    | ~ c_Relation_Orefl__on(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1174]) ).

cnf(c_0_1782,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))),
    inference(split_conjunct,[status(thm)],[c_0_1175]) ).

cnf(c_0_1783,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1156]) ).

cnf(c_0_1784,plain,
    ( c_member(X1,X2,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1176]) ).

cnf(c_0_1785,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_1177]) ).

cnf(c_0_1786,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_1178]) ).

cnf(c_0_1787,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_Wellfounded_Oacyclic(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1179]) ).

cnf(c_0_1788,plain,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1142]) ).

cnf(c_0_1789,plain,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1143]) ).

cnf(c_0_1790,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Relation_OImage(X2,X2,X3,X1))
    | ~ c_Wellfounded_Owf(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1180]) ).

cnf(c_0_1791,plain,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1176]) ).

cnf(c_0_1792,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Wellfounded_Oless__than) ),
    inference(split_conjunct,[status(thm)],[c_0_1181]) ).

cnf(c_0_1793,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk75_3(X2,X1,X3),X3),X2)
    | ~ c_member(X1,X3,esk73_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1149]) ).

cnf(c_0_1794,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1182]) ).

cnf(c_0_1795,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1183]) ).

cnf(c_0_1796,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Relation_Oirrefl(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1184]) ).

cnf(c_0_1797,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Relation_OId(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1185]) ).

cnf(c_0_1798,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk24_3(X3,X2,X1),X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1186]) ).

cnf(c_0_1799,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk23_3(X3,X2,X1),X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1187]) ).

cnf(c_0_1800,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk20_3(X3,X2,X1),X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1165]) ).

cnf(c_0_1801,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1188]) ).

cnf(c_0_1802,plain,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1803,plain,
    ( X2 = X4
    | X3 = X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1804,plain,
    ( X3 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1805,plain,
    ( X3 = X5
    | X3 = X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1806,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4),
    inference(split_conjunct,[status(thm)],[c_0_1190]) ).

cnf(c_0_1807,plain,
    ( c_member(X3,esk61_4(X1,X5,X4,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1808,plain,
    ( c_member(X3,esk61_4(X1,X4,X5,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1809,plain,
    ( c_member(X1,esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | hBOOL(hAPP(X2,X5))
    | ~ c_member(X1,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1810,plain,
    ( c_member(X1,esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | hBOOL(hAPP(X2,X5))
    | ~ c_member(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1811,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)))
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1191]) ).

cnf(c_0_1812,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)))
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1191]) ).

cnf(c_0_1813,plain,
    ( X3 = X5
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1192]) ).

cnf(c_0_1814,plain,
    ( X4 = X6
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1192]) ).

cnf(c_0_1815,plain,
    ( X3 = X5
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1193]) ).

cnf(c_0_1816,plain,
    ( X4 = X6
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1193]) ).

cnf(c_0_1817,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),hAPP(c_Wellfounded_Omeasure(X1),X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1169]) ).

cnf(c_0_1818,plain,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1166]) ).

cnf(c_0_1819,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Relation_Orefl__on(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1194]) ).

cnf(c_0_1820,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk57_2(X2,X1),esk57_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1195]) ).

cnf(c_0_1821,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk53_2(X2,X1),esk53_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1179]) ).

cnf(c_0_1822,plain,
    ( c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) = X3
    | ~ c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1196]) ).

cnf(c_0_1823,plain,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk77_2(X2,X1),esk78_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1197]) ).

cnf(c_0_1824,plain,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk78_2(X2,X1),esk77_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1197]) ).

cnf(c_0_1825,plain,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk65_2(X2,X1),esk66_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1127]) ).

cnf(c_0_1826,plain,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk66_2(X2,X1),esk65_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1127]) ).

cnf(c_0_1827,plain,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk10_2(X2,X1),esk11_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1167]) ).

cnf(c_0_1828,plain,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk11_2(X2,X1),esk12_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1167]) ).

cnf(c_0_1829,plain,
    ( c_Relation_Oirrefl(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk9_2(X2,X1),esk9_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1184]) ).

cnf(c_0_1830,plain,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk2_2(X2,X1),esk3_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1119]) ).

cnf(c_0_1831,plain,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk3_2(X2,X1),esk4_2(X2,X1)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1119]) ).

cnf(c_0_1832,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | ~ c_member(X1,X2,X4)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1198]) ).

cnf(c_0_1833,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | ~ c_member(X1,X2,X4)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1176]) ).

cnf(c_0_1834,plain,
    c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) = c_Set_Oinsert(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1199]) ).

cnf(c_0_1835,plain,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1177]) ).

cnf(c_0_1836,plain,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1178]) ).

cnf(c_0_1837,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))) = c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1200]) ).

cnf(c_0_1838,plain,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Wellfounded_Oless__than)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1181]) ).

cnf(c_0_1839,plain,
    ( c_Relation_Orefl__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))
    | ~ c_Relation_Orefl__on(X1,X3,X5)
    | ~ c_Relation_Orefl__on(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1201]) ).

cnf(c_0_1840,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1202]) ).

cnf(c_0_1841,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1203]) ).

cnf(c_0_1842,plain,
    ( X2 = c_Product__Type_OPair(X1,X1,esk17_3(X3,X2,X1),esk17_3(X3,X2,X1))
    | ~ c_member(tc_prod(X1,X1),X2,c_Relation_OId__on(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1204]) ).

cnf(c_0_1843,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1205]) ).

cnf(c_0_1844,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1206]) ).

cnf(c_0_1845,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X4),c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_1207]) ).

cnf(c_0_1846,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X4),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1208]) ).

cnf(c_0_1847,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1143]) ).

cnf(c_0_1848,plain,
    c_Relation_ODomain(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1209]) ).

cnf(c_0_1849,plain,
    c_Relation_ORange(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_ORange(X1,X2,X3),c_Relation_ORange(X1,X2,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1210]) ).

cnf(c_0_1850,plain,
    c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1211]) ).

cnf(c_0_1851,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Nitpick_Orefl_H(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1168]) ).

cnf(c_0_1852,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1212]) ).

cnf(c_0_1853,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1212]) ).

cnf(c_0_1854,plain,
    ( X1 = c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1213]) ).

cnf(c_0_1855,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X3,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1214]) ).

cnf(c_0_1856,plain,
    ( c_Order__Relation_Owell__order__on(X1,X2,X3)
    | ~ c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1215]) ).

cnf(c_0_1857,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId(X1))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1185]) ).

cnf(c_0_1858,plain,
    c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Relation_OId(X1)),
    inference(split_conjunct,[status(thm)],[c_0_1216]) ).

cnf(c_0_1859,plain,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
    | ~ c_Wellfounded_Owf(X2,X4)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1217]) ).

cnf(c_0_1860,plain,
    ( c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
    | ~ c_Relation_Otrans(X2,X4)
    | ~ c_Relation_Otrans(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1218]) ).

cnf(c_0_1861,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1219]) ).

cnf(c_0_1862,plain,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 != X5
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1863,plain,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 != X4
    | X2 != X5 ),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1864,plain,
    ( c_FunDef_Oreduction__pair(X1,c_FunDef_Orp__inv__image(X2,X1,X3,X4))
    | ~ c_FunDef_Oreduction__pair(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1220]) ).

cnf(c_0_1865,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1202]) ).

cnf(c_0_1866,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1203]) ).

cnf(c_0_1867,plain,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | X4 != X6
    | X3 != X5 ),
    inference(split_conjunct,[status(thm)],[c_0_1193]) ).

cnf(c_0_1868,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1221]) ).

cnf(c_0_1869,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1870,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1222]) ).

cnf(c_0_1871,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X3)
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1223]) ).

cnf(c_0_1872,plain,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1873,plain,
    ( c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1224]) ).

cnf(c_0_1874,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) = X4
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1225]) ).

cnf(c_0_1875,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1226]) ).

cnf(c_0_1876,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_1877,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1228]) ).

cnf(c_0_1878,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1229]) ).

cnf(c_0_1879,plain,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1230]) ).

cnf(c_0_1880,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1881,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = X3
    | c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1231]) ).

cnf(c_0_1882,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1232]) ).

cnf(c_0_1883,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_member(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1884,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1233]) ).

cnf(c_0_1885,plain,
    ( X1 = c_Product__Type_OPair(X2,X2,esk58_2(X1,X2),esk58_2(X1,X2))
    | ~ c_member(tc_prod(X2,X2),X1,c_Relation_OId(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1234]) ).

cnf(c_0_1886,plain,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1235]) ).

cnf(c_0_1887,plain,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1236]) ).

cnf(c_0_1888,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1237]) ).

cnf(c_0_1889,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1238]) ).

cnf(c_0_1890,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1239]) ).

cnf(c_0_1891,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1156]) ).

cnf(c_0_1892,plain,
    ( c_member(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1240]) ).

cnf(c_0_1893,plain,
    ( X1 = X2
    | ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1241]) ).

cnf(c_0_1894,plain,
    ( X1 = X2
    | ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1242]) ).

cnf(c_0_1895,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1896,plain,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X4,X3,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1243]) ).

cnf(c_0_1897,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1244]) ).

cnf(c_0_1898,plain,
    ( ~ c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1245]) ).

cnf(c_0_1899,plain,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1246]) ).

cnf(c_0_1900,plain,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1247]) ).

cnf(c_0_1901,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
    | ~ hBOOL(hAPP(hAPP(X6,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1248]) ).

cnf(c_0_1902,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1249]) ).

cnf(c_0_1903,plain,
    ( c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Relation_Ototal__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1219]) ).

cnf(c_0_1904,plain,
    ( c_Order__Relation_Ostrict__linear__order__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1250]) ).

cnf(c_0_1905,plain,
    c_Relation_OField(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_OField(X1,X2),c_Relation_OField(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1251]) ).

cnf(c_0_1906,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_1907,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_1908,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_member(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1909,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1252]) ).

cnf(c_0_1910,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Set_Oinsert(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1253]) ).

cnf(c_0_1911,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) = c_Set_Oinsert(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1254]) ).

cnf(c_0_1912,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1255]) ).

cnf(c_0_1913,plain,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1256]) ).

cnf(c_0_1914,plain,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1257]) ).

cnf(c_0_1915,plain,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1258]) ).

cnf(c_0_1916,plain,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1258]) ).

cnf(c_0_1917,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1259]) ).

cnf(c_0_1918,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1246]) ).

cnf(c_0_1919,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1247]) ).

cnf(c_0_1920,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | c_member(X1,X3,X2)
    | ~ c_member(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1921,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,esk24_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1186]) ).

cnf(c_0_1922,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,esk23_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1187]) ).

cnf(c_0_1923,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,esk20_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1165]) ).

cnf(c_0_1924,plain,
    ( c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Owell__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1215]) ).

cnf(c_0_1925,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1252]) ).

cnf(c_0_1926,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1156]) ).

cnf(c_0_1927,plain,
    ( c_member(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1240]) ).

cnf(c_0_1928,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2)) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1260]) ).

cnf(c_0_1929,plain,
    ( c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1246]) ).

cnf(c_0_1930,plain,
    ( c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1261]) ).

cnf(c_0_1931,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1233]) ).

cnf(c_0_1932,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1262]) ).

cnf(c_0_1933,plain,
    ( c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1252]) ).

cnf(c_0_1934,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | ~ c_Relation_Osingle__valued(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1263]) ).

cnf(c_0_1935,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1264]) ).

cnf(c_0_1936,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1265]) ).

cnf(c_0_1937,plain,
    ( X3 = X2
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_1938,plain,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3),
    inference(split_conjunct,[status(thm)],[c_0_1266]) ).

cnf(c_0_1939,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1267]) ).

cnf(c_0_1940,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1268]) ).

cnf(c_0_1941,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1269]) ).

cnf(c_0_1942,plain,
    ( X1 = X2
    | c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))) != c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))) ),
    inference(split_conjunct,[status(thm)],[c_0_1270]) ).

cnf(c_0_1943,plain,
    ( X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1271]) ).

cnf(c_0_1944,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OField(X1,X2),c_Relation_OField(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1272]) ).

cnf(c_0_1945,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1273]) ).

cnf(c_0_1946,plain,
    c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))),
    inference(split_conjunct,[status(thm)],[c_0_1274]) ).

cnf(c_0_1947,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1275]) ).

cnf(c_0_1948,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1276]) ).

cnf(c_0_1949,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1277]) ).

cnf(c_0_1950,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1278]) ).

cnf(c_0_1951,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1279]) ).

cnf(c_0_1952,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1280]) ).

cnf(c_0_1953,plain,
    ( c_member(X1,esk17_3(X3,X2,X1),X3)
    | ~ c_member(tc_prod(X1,X1),X2,c_Relation_OId__on(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1204]) ).

cnf(c_0_1954,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(X1,esk75_3(X2,X1,X3),esk73_2(X2,X1))
    | ~ c_member(X1,X3,esk73_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1149]) ).

cnf(c_0_1955,plain,
    ( c_Relation_Otrans(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1281]) ).

cnf(c_0_1956,plain,
    c_Relation_OImage(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1282]) ).

cnf(c_0_1957,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_member(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1958,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_member(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1156]) ).

cnf(c_0_1959,plain,
    c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,X4)) = c_Set_Oinsert(X1,X3,c_Set_Oinsert(X1,X2,X4)),
    inference(split_conjunct,[status(thm)],[c_0_1283]) ).

cnf(c_0_1960,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1284]) ).

cnf(c_0_1961,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1285]) ).

cnf(c_0_1962,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1286]) ).

cnf(c_0_1963,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1287]) ).

cnf(c_0_1964,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1288]) ).

cnf(c_0_1965,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1288]) ).

cnf(c_0_1966,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1289]) ).

cnf(c_0_1967,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1289]) ).

cnf(c_0_1968,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_1969,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1267]) ).

cnf(c_0_1970,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1267]) ).

cnf(c_0_1971,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1290]) ).

cnf(c_0_1972,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1290]) ).

cnf(c_0_1973,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1291]) ).

cnf(c_0_1974,plain,
    ( c_member(X1,X2,X3)
    | X2 = X4
    | ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1292]) ).

cnf(c_0_1975,plain,
    ( c_member(X1,X2,X3)
    | X2 = X4
    | ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1293]) ).

cnf(c_0_1976,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X3) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1294]) ).

cnf(c_0_1977,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X3) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1295]) ).

cnf(c_0_1978,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1296]) ).

cnf(c_0_1979,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1297]) ).

cnf(c_0_1980,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1298]) ).

cnf(c_0_1981,plain,
    ( c_Relation_Otrans(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1299]) ).

cnf(c_0_1982,plain,
    ( c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Oantisym(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1230]) ).

cnf(c_0_1983,plain,
    c_Relation_OField(X1,X2) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1300]) ).

cnf(c_0_1984,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1301]) ).

cnf(c_0_1985,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1302]) ).

cnf(c_0_1986,plain,
    c_Transitive__Closure_Otrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1303]) ).

cnf(c_0_1987,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1304]) ).

cnf(c_0_1988,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1305]) ).

cnf(c_0_1989,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1306]) ).

cnf(c_0_1990,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1235]) ).

cnf(c_0_1991,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1235]) ).

cnf(c_0_1992,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1307]) ).

cnf(c_0_1993,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1307]) ).

cnf(c_0_1994,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1243]) ).

cnf(c_0_1995,plain,
    ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,X2),X3,X4),X5) = c_Groups_Ominus__class_Ominus(X2,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Groups_Ominus(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1308]) ).

cnf(c_0_1996,plain,
    ( hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,X2),X3,X4),X5) = c_Lattices_Osemilattice__sup__class_Osup(X2,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Lattices_Olattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1309]) ).

cnf(c_0_1997,plain,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | X3 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1310]) ).

cnf(c_0_1998,plain,
    c_Relation_Oirrefl(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))),
    inference(split_conjunct,[status(thm)],[c_0_1311]) ).

cnf(c_0_1999,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1271]) ).

cnf(c_0_2000,plain,
    ( c_Wellfounded_Owf(X1,hAPP(c_Relation_Oinv__image(X2,X1,X3),X4))
    | ~ c_Wellfounded_Owf(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1312]) ).

cnf(c_0_2001,plain,
    ( c_Relation_Otrans(X1,hAPP(c_Relation_Oinv__image(X2,X1,X3),X4))
    | ~ c_Relation_Otrans(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1313]) ).

cnf(c_0_2002,plain,
    ( c_member(X1,esk72_3(X2,X1,X4),X4)
    | ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1149]) ).

cnf(c_0_2003,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1241]) ).

cnf(c_0_2004,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_2005,plain,
    ( X3 = X2
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_2006,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1314]) ).

cnf(c_0_2007,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1315]) ).

cnf(c_0_2008,plain,
    ( c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1316]) ).

cnf(c_0_2009,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1317]) ).

cnf(c_0_2010,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1318]) ).

cnf(c_0_2011,plain,
    c_Order__Relation_Owell__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1319]) ).

cnf(c_0_2012,plain,
    c_Order__Relation_Olinear__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1320]) ).

cnf(c_0_2013,plain,
    c_Relation_Orefl__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1321]) ).

cnf(c_0_2014,plain,
    c_Order__Relation_Opreorder__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1322]) ).

cnf(c_0_2015,plain,
    c_Order__Relation_Opartial__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1323]) ).

cnf(c_0_2016,plain,
    ( ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1304]) ).

cnf(c_0_2017,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1324]) ).

cnf(c_0_2018,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1325]) ).

cnf(c_0_2019,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1326]) ).

cnf(c_0_2020,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1327]) ).

cnf(c_0_2021,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1328]) ).

cnf(c_0_2022,plain,
    c_Relation_OImage(X1,X1,c_Relation_OId(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_1329]) ).

cnf(c_0_2023,plain,
    c_Transitive__Closure_Otrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1330]) ).

cnf(c_0_2024,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1331]) ).

cnf(c_0_2025,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1292]) ).

cnf(c_0_2026,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1332]) ).

cnf(c_0_2027,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1243]) ).

cnf(c_0_2028,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1333]) ).

cnf(c_0_2029,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1334]) ).

cnf(c_0_2030,plain,
    c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than),
    inference(split_conjunct,[status(thm)],[c_0_1335]) ).

cnf(c_0_2031,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1336]) ).

cnf(c_0_2032,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1337]) ).

cnf(c_0_2033,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1086]) ).

cnf(c_0_2034,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1338]) ).

cnf(c_0_2035,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1339]) ).

cnf(c_0_2036,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | ~ c_Wellfounded_Oacyclic(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1340]) ).

cnf(c_0_2037,plain,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1341]) ).

cnf(c_0_2038,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1342]) ).

cnf(c_0_2039,plain,
    c_Relation_ORange(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1343]) ).

cnf(c_0_2040,plain,
    c_Relation_ODomain(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1344]) ).

cnf(c_0_2041,plain,
    ( c_Wellfounded_OwfP(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X2,X3)
    | ~ c_Wellfounded_OwfP(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1345]) ).

cnf(c_0_2042,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1346]) ).

cnf(c_0_2043,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1347]) ).

cnf(c_0_2044,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1348]) ).

cnf(c_0_2045,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1349]) ).

cnf(c_0_2046,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1350]) ).

cnf(c_0_2047,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1351]) ).

cnf(c_0_2048,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1352]) ).

cnf(c_0_2049,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1353]) ).

cnf(c_0_2050,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_member(tc_prod(X1,X1),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1354]) ).

cnf(c_0_2051,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_member(tc_prod(X1,X1),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1355]) ).

cnf(c_0_2052,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
    inference(split_conjunct,[status(thm)],[c_0_1356]) ).

cnf(c_0_2053,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_1357]) ).

cnf(c_0_2054,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1358]) ).

cnf(c_0_2055,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1359]) ).

cnf(c_0_2056,plain,
    ( c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1360]) ).

cnf(c_0_2057,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | esk32_3(X3,X2,X1) != esk33_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1172]) ).

cnf(c_0_2058,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | esk29_3(X3,X2,X1) != esk30_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1124]) ).

cnf(c_0_2059,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | esk13_3(X3,X2,X1) != esk14_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_2060,plain,
    c_Set_Othe__elem(X1,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = X2,
    inference(split_conjunct,[status(thm)],[c_0_1361]) ).

cnf(c_0_2061,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1362]) ).

cnf(c_0_2062,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1363]) ).

cnf(c_0_2063,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1364]) ).

cnf(c_0_2064,plain,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,X2,X4)
    | X3 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1310]) ).

cnf(c_0_2065,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1365]) ).

cnf(c_0_2066,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | c_member(X1,esk13_3(X3,X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_2067,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | c_member(X1,esk14_3(X3,X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_2068,plain,
    c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X2,X3)) = c_Set_Oinsert(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1366]) ).

cnf(c_0_2069,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1304]) ).

cnf(c_0_2070,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool))
    | c_Relation_ORange(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1367]) ).

cnf(c_0_2071,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool))
    | c_Relation_ODomain(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1368]) ).

cnf(c_0_2072,plain,
    ( c_Relation_ORange(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1367]) ).

cnf(c_0_2073,plain,
    ( c_Relation_ODomain(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1368]) ).

cnf(c_0_2074,plain,
    ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1369]) ).

cnf(c_0_2075,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1370]) ).

cnf(c_0_2076,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1371]) ).

cnf(c_0_2077,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1372]) ).

cnf(c_0_2078,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1373]) ).

cnf(c_0_2079,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1373]) ).

cnf(c_0_2080,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1374]) ).

cnf(c_0_2081,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1375]) ).

cnf(c_0_2082,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1376]) ).

cnf(c_0_2083,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1377]) ).

cnf(c_0_2084,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1378]) ).

cnf(c_0_2085,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1371]) ).

cnf(c_0_2086,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1372]) ).

cnf(c_0_2087,plain,
    c_Relation_OField(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1379]) ).

cnf(c_0_2088,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1380]) ).

cnf(c_0_2089,plain,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1380]) ).

cnf(c_0_2090,plain,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1380]) ).

cnf(c_0_2091,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_2092,plain,
    ( c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Oirrefl(X1,X3)
    | ~ c_Relation_Otrans(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1381]) ).

cnf(c_0_2093,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1382]) ).

cnf(c_0_2094,plain,
    ( X4 = X5
    | ~ class_Groups_Oab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1383]) ).

cnf(c_0_2095,plain,
    ( X2 = X3
    | ~ class_Groups_Oab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | X4 != X5 ),
    inference(split_conjunct,[status(thm)],[c_0_1383]) ).

cnf(c_0_2096,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1384]) ).

cnf(c_0_2097,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,esk79_2(X2,X1),c_Wellfounded_Oacc(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1385]) ).

cnf(c_0_2098,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,esk71_2(X2,X1),c_Wellfounded_Oacc(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1386]) ).

cnf(c_0_2099,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1387]) ).

cnf(c_0_2100,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1388]) ).

cnf(c_0_2101,plain,
    ( X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1389]) ).

cnf(c_0_2102,plain,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1390]) ).

cnf(c_0_2103,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1391]) ).

cnf(c_0_2104,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1370]) ).

cnf(c_0_2105,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1392]) ).

cnf(c_0_2106,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1393]) ).

cnf(c_0_2107,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1394]) ).

cnf(c_0_2108,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1395]) ).

cnf(c_0_2109,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1396]) ).

cnf(c_0_2110,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1397]) ).

cnf(c_0_2111,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1398]) ).

cnf(c_0_2112,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1399]) ).

cnf(c_0_2113,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Relation_OId(X1)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1400]) ).

cnf(c_0_2114,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId(X1)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1401]) ).

cnf(c_0_2115,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1356]) ).

cnf(c_0_2116,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Relation_OId(X1),
    inference(split_conjunct,[status(thm)],[c_0_1402]) ).

cnf(c_0_2117,plain,
    c_Relation_Oantisym(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1403]) ).

cnf(c_0_2118,plain,
    c_Wellfounded_Owf(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1404]) ).

cnf(c_0_2119,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1405]) ).

cnf(c_0_2120,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1406]) ).

cnf(c_0_2121,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1407]) ).

cnf(c_0_2122,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1408]) ).

cnf(c_0_2123,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1409]) ).

cnf(c_0_2124,plain,
    ~ c_member(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1410]) ).

cnf(c_0_2125,plain,
    ~ c_member(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_1411]) ).

cnf(c_0_2126,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1292]) ).

cnf(c_0_2127,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1332]) ).

cnf(c_0_2128,plain,
    ( c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | ~ c_Relation_Oantisym(X1,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1412]) ).

cnf(c_0_2129,plain,
    ( c_Order__Relation_Opreorder__on(X1,X2,X3)
    | ~ c_Relation_Otrans(X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1413]) ).

cnf(c_0_2130,plain,
    c_member(X1,X2,c_Set_Oinsert(X1,X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_1414]) ).

cnf(c_0_2131,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_1415]) ).

cnf(c_0_2132,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1416]) ).

cnf(c_0_2133,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2),
    inference(split_conjunct,[status(thm)],[c_0_1417]) ).

cnf(c_0_2134,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X4 != X2
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1418]) ).

cnf(c_0_2135,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X4 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1419]) ).

cnf(c_0_2136,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | X3 != X4
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1420]) ).

cnf(c_0_2137,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | X2 != X4
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1421]) ).

cnf(c_0_2138,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1422]) ).

cnf(c_0_2139,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X4 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1423]) ).

cnf(c_0_2140,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X4 != X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1424]) ).

cnf(c_0_2141,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | X3 != X4
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1425]) ).

cnf(c_0_2142,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | X2 != X4
    | ~ class_Orderings_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1426]) ).

cnf(c_0_2143,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1389]) ).

cnf(c_0_2144,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1427]) ).

cnf(c_0_2145,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1428]) ).

cnf(c_0_2146,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1429]) ).

cnf(c_0_2147,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1384]) ).

cnf(c_0_2148,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1430]) ).

cnf(c_0_2149,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1431]) ).

cnf(c_0_2150,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1432]) ).

cnf(c_0_2151,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1433]) ).

cnf(c_0_2152,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1434]) ).

cnf(c_0_2153,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1435]) ).

cnf(c_0_2154,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1435]) ).

cnf(c_0_2155,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1436]) ).

cnf(c_0_2156,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1437]) ).

cnf(c_0_2157,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1438]) ).

cnf(c_0_2158,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1433]) ).

cnf(c_0_2159,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1370]) ).

cnf(c_0_2160,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1434]) ).

cnf(c_0_2161,plain,
    c_Relation_OId__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1439]) ).

cnf(c_0_2162,plain,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1440]) ).

cnf(c_0_2163,plain,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1440]) ).

cnf(c_0_2164,plain,
    ( c_member(X3,X2,X4)
    | X1 != X2
    | ~ c_member(X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1441]) ).

cnf(c_0_2165,plain,
    ( c_member(X3,X1,X4)
    | X1 != X2
    | ~ c_member(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1441]) ).

cnf(c_0_2166,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X4,X3)
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_1442]) ).

cnf(c_0_2167,plain,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1443]) ).

cnf(c_0_2168,plain,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1443]) ).

cnf(c_0_2169,plain,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1443]) ).

cnf(c_0_2170,plain,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1443]) ).

cnf(c_0_2171,plain,
    ( c_Wellfounded_Owf(X1,c_Wellfounded_Omlex__prod(X1,X2,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1444]) ).

cnf(c_0_2172,plain,
    ( c_Wellfounded_OwfP(X1,c_FunDef_Oin__rel(X1,X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1445]) ).

cnf(c_0_2173,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X3
    | ~ c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1446]) ).

cnf(c_0_2174,plain,
    ( c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Owell__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1215]) ).

cnf(c_0_2175,plain,
    ( c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1360]) ).

cnf(c_0_2176,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1360]) ).

cnf(c_0_2177,plain,
    ( c_Order__Relation_Opreorder__on(X1,X2,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1412]) ).

cnf(c_0_2178,plain,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1413]) ).

cnf(c_0_2179,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1381]) ).

cnf(c_0_2180,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1447]) ).

cnf(c_0_2181,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1448]) ).

cnf(c_0_2182,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1449]) ).

cnf(c_0_2183,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1450]) ).

cnf(c_0_2184,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1451]) ).

cnf(c_0_2185,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1448]) ).

cnf(c_0_2186,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1449]) ).

cnf(c_0_2187,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1452]) ).

cnf(c_0_2188,plain,
    c_Relation_ORange(X1,X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Relation_ORange(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1453]) ).

cnf(c_0_2189,plain,
    c_Relation_ODomain(X1,X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Relation_ODomain(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1454]) ).

cnf(c_0_2190,plain,
    ( ~ c_member(X1,X2,X3)
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1455]) ).

cnf(c_0_2191,plain,
    ( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_member(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1456]) ).

cnf(c_0_2192,plain,
    ( ~ c_member(X1,X2,X3)
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1457]) ).

cnf(c_0_2193,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_1458]) ).

cnf(c_0_2194,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = X2,
    inference(split_conjunct,[status(thm)],[c_0_1459]) ).

cnf(c_0_2195,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = X2,
    inference(split_conjunct,[status(thm)],[c_0_1460]) ).

cnf(c_0_2196,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2),
    inference(split_conjunct,[status(thm)],[c_0_1461]) ).

cnf(c_0_2197,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_Set_Oinsert(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_1462]) ).

cnf(c_0_2198,plain,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1463]) ).

cnf(c_0_2199,plain,
    ( X1 = X2
    | hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1464]) ).

cnf(c_0_2200,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1372]) ).

cnf(c_0_2201,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(X1,esk74_2(X2,X1),esk73_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1149]) ).

cnf(c_0_2202,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1432]) ).

cnf(c_0_2203,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1465]) ).

cnf(c_0_2204,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1466]) ).

cnf(c_0_2205,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1422]) ).

cnf(c_0_2206,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1467]) ).

cnf(c_0_2207,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1399]) ).

cnf(c_0_2208,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1468]) ).

cnf(c_0_2209,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1469]) ).

cnf(c_0_2210,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1470]) ).

cnf(c_0_2211,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1471]) ).

cnf(c_0_2212,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1392]) ).

cnf(c_0_2213,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1393]) ).

cnf(c_0_2214,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1472]) ).

cnf(c_0_2215,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1473]) ).

cnf(c_0_2216,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1474]) ).

cnf(c_0_2217,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1475]) ).

cnf(c_0_2218,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1476]) ).

cnf(c_0_2219,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1477]) ).

cnf(c_0_2220,plain,
    ( c_member(X1,esk82_2(X2,X1),X2)
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1456]) ).

cnf(c_0_2221,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | c_member(X2,esk81_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1457]) ).

cnf(c_0_2222,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1478]) ).

cnf(c_0_2223,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_1479]) ).

cnf(c_0_2224,plain,
    c_Relation_Ototal__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2),
    inference(split_conjunct,[status(thm)],[c_0_1480]) ).

cnf(c_0_2225,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1481]) ).

cnf(c_0_2226,plain,
    ( X2 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1482]) ).

cnf(c_0_2227,plain,
    ( X3 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1482]) ).

cnf(c_0_2228,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(split_conjunct,[status(thm)],[c_0_1483]) ).

cnf(c_0_2229,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1386]) ).

cnf(c_0_2230,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1484]) ).

cnf(c_0_2231,plain,
    ( c_member(X1,X2,X3)
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1474]) ).

cnf(c_0_2232,plain,
    ( c_Relation_Oantisym(X1,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1412]) ).

cnf(c_0_2233,plain,
    ( c_Relation_Otrans(X1,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1413]) ).

cnf(c_0_2234,plain,
    ( c_Relation_Otrans(X1,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1381]) ).

cnf(c_0_2235,plain,
    ( c_Relation_Oirrefl(X1,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1381]) ).

cnf(c_0_2236,plain,
    ( X1 = X2
    | ~ c_member(X3,X1,c_fequal(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1485]) ).

cnf(c_0_2237,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1434]) ).

cnf(c_0_2238,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1486]) ).

cnf(c_0_2239,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1487]) ).

cnf(c_0_2240,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1488]) ).

cnf(c_0_2241,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1399]) ).

cnf(c_0_2242,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1468]) ).

cnf(c_0_2243,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1468]) ).

cnf(c_0_2244,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1489]) ).

cnf(c_0_2245,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1490]) ).

cnf(c_0_2246,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1491]) ).

cnf(c_0_2247,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1479]) ).

cnf(c_0_2248,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1479]) ).

cnf(c_0_2249,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1449]) ).

cnf(c_0_2250,plain,
    ( c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omin__ext(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1492]) ).

cnf(c_0_2251,plain,
    ( c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omax__ext(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1493]) ).

cnf(c_0_2252,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_1494]) ).

cnf(c_0_2253,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_1495]) ).

cnf(c_0_2254,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X3) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Orderings_Obot(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1496]) ).

cnf(c_0_2255,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | X3 != c_Orderings_Obot__class_Obot(X1)
    | X2 != c_Orderings_Obot__class_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1482]) ).

cnf(c_0_2256,plain,
    c_Relation_ODomain(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_1497]) ).

cnf(c_0_2257,plain,
    c_Relation_ORange(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_1498]) ).

cnf(c_0_2258,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1371]) ).

cnf(c_0_2259,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1499]) ).

cnf(c_0_2260,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1499]) ).

cnf(c_0_2261,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1500]) ).

cnf(c_0_2262,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1501]) ).

cnf(c_0_2263,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1333]) ).

cnf(c_0_2264,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1333]) ).

cnf(c_0_2265,plain,
    c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1502]) ).

cnf(c_0_2266,plain,
    c_Relation_Orefl__on(X1,X2,c_Relation_OId__on(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1503]) ).

cnf(c_0_2267,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_1504]) ).

cnf(c_0_2268,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X2),
    inference(split_conjunct,[status(thm)],[c_0_1505]) ).

cnf(c_0_2269,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_fequal(X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1506]) ).

cnf(c_0_2270,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Orderings_Obot__class_Obot(X1),X2) = X2
    | ~ class_Lattices_Obounded__lattice__bot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1507]) ).

cnf(c_0_2271,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Orderings_Obot__class_Obot(X1)) = X2
    | ~ class_Lattices_Obounded__lattice__bot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1508]) ).

cnf(c_0_2272,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Orderings_Obot__class_Obot(X1),X2)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1509]) ).

cnf(c_0_2273,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1433]) ).

cnf(c_0_2274,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1510]) ).

cnf(c_0_2275,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1390]) ).

cnf(c_0_2276,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1390]) ).

cnf(c_0_2277,plain,
    ( c_member(X1,X2,c_fequal(X3))
    | X2 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1485]) ).

cnf(c_0_2278,plain,
    ( c_Wellfounded_Owf(X1,c_Transitive__Closure_Otrancl(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1511]) ).

cnf(c_0_2279,plain,
    ( c_Relation_Oantisym(X1,c_Transitive__Closure_Ortrancl(X1,X2))
    | ~ c_Wellfounded_Oacyclic(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1512]) ).

cnf(c_0_2280,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2) = X2
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1513]) ).

cnf(c_0_2281,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2) = X2
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1514]) ).

cnf(c_0_2282,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1515]) ).

cnf(c_0_2283,plain,
    c_Relation_Osingle__valued(X1,X1,c_Relation_OId(X1)),
    inference(split_conjunct,[status(thm)],[c_0_1516]) ).

cnf(c_0_2284,plain,
    ( c_Relation_Oantisym(X1,X2)
    | esk77_2(X2,X1) != esk78_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1197]) ).

cnf(c_0_2285,plain,
    ( c_Relation_Oantisym(X1,X2)
    | esk65_2(X2,X1) != esk66_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1127]) ).

cnf(c_0_2286,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1451]) ).

cnf(c_0_2287,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1517]) ).

cnf(c_0_2288,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1448]) ).

cnf(c_0_2289,plain,
    c_Wellfounded_Omeasure(X1) = c_Relation_Oinv__image(tc_Nat_Onat,X1,c_Wellfounded_Oless__than),
    inference(split_conjunct,[status(thm)],[c_0_1518]) ).

cnf(c_0_2290,plain,
    c_Transitive__Closure_Otrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1519]) ).

cnf(c_0_2291,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1520]) ).

cnf(c_0_2292,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_1521]) ).

cnf(c_0_2293,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_1522]) ).

cnf(c_0_2294,plain,
    c_Wellfounded_Owf(X1,hAPP(c_Wellfounded_Omeasure(X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_1523]) ).

cnf(c_0_2295,plain,
    ( hBOOL(hAPP(c_fequal(X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1524]) ).

cnf(c_0_2296,plain,
    c_Relation_Oantisym(X1,c_Relation_OId__on(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1525]) ).

cnf(c_0_2297,plain,
    c_Relation_Otrans(X1,c_Transitive__Closure_Otrancl(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1526]) ).

cnf(c_0_2298,plain,
    c_Relation_Otrans(X1,c_Transitive__Closure_Ortrancl(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1527]) ).

cnf(c_0_2299,plain,
    c_Relation_Otrans(X1,c_Relation_OId__on(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_1528]) ).

cnf(c_0_2300,plain,
    ( c_Transitive__Closure_Otrancl(X1,X2) = X2
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1529]) ).

cnf(c_0_2301,plain,
    ( class_Groups_Ominus(tc_fun(X1,X2))
    | ~ class_Groups_Ominus(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1530]) ).

cnf(c_0_2302,plain,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1531]) ).

cnf(c_0_2303,plain,
    ( class_Orderings_Oord(tc_fun(X1,X2))
    | ~ class_Orderings_Oord(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1532]) ).

cnf(c_0_2304,plain,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1533]) ).

cnf(c_0_2305,plain,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1534]) ).

cnf(c_0_2306,plain,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1535]) ).

cnf(c_0_2307,plain,
    ( class_Lattices_Osemilattice__sup(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1536]) ).

cnf(c_0_2308,plain,
    ( class_Lattices_Obounded__lattice__bot(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1537]) ).

cnf(c_0_2309,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1538]) ).

cnf(c_0_2310,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1539]) ).

cnf(c_0_2311,plain,
    c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    inference(split_conjunct,[status(thm)],[c_0_1540]) ).

cnf(c_0_2312,plain,
    c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    inference(split_conjunct,[status(thm)],[c_0_1541]) ).

cnf(c_0_2313,plain,
    c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    inference(split_conjunct,[status(thm)],[c_0_1542]) ).

cnf(c_0_2314,plain,
    c_Relation_Oantisym(X1,c_Relation_OId(X1)),
    inference(split_conjunct,[status(thm)],[c_0_1543]) ).

cnf(c_0_2315,plain,
    c_Relation_Otrans(X1,c_Relation_OId(X1)),
    inference(split_conjunct,[status(thm)],[c_0_1544]) ).

cnf(c_0_2316,plain,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    inference(split_conjunct,[status(thm)],[c_0_1545]) ).

cnf(c_0_2317,plain,
    c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    inference(split_conjunct,[status(thm)],[c_0_1546]) ).

cnf(c_0_2318,plain,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
    inference(split_conjunct,[status(thm)],[c_0_1547]) ).

cnf(c_0_2319,plain,
    c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than),
    inference(split_conjunct,[status(thm)],[c_0_1548]) ).

cnf(c_0_2320,plain,
    class_Groups_Ominus(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1549]) ).

cnf(c_0_2321,plain,
    class_Orderings_Obot(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1550]) ).

cnf(c_0_2322,plain,
    class_Orderings_Oord(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1551]) ).

cnf(c_0_2323,plain,
    class_Orderings_Oorder(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1552]) ).

cnf(c_0_2324,plain,
    class_Lattices_Olattice(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1553]) ).

cnf(c_0_2325,plain,
    class_Orderings_Opreorder(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1554]) ).

cnf(c_0_2326,plain,
    class_Lattices_Osemilattice__sup(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1555]) ).

cnf(c_0_2327,plain,
    class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1556]) ).

cnf(c_0_2328,plain,
    class_Groups_Ominus(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[c_0_1557]) ).

cnf(c_0_2329,plain,
    class_Orderings_Obot(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[c_0_1558]) ).

cnf(c_0_2330,plain,
    class_Orderings_Oord(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[c_0_1559]) ).

cnf(c_0_2331,plain,
    class_Orderings_Oorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[c_0_1560]) ).

cnf(c_0_2332,plain,
    class_Lattices_Olattice(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[c_0_1561]) ).

cnf(c_0_2333,plain,
    class_Orderings_Olinorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[c_0_1562]) ).

cnf(c_0_2334,plain,
    class_Orderings_Opreorder(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[c_0_1563]) ).

cnf(c_0_2335,plain,
    class_Lattices_Osemilattice__sup(tc_Nat_Onat),
    inference(split_conjunct,[status(thm)],[c_0_1564]) ).

cnf(c_0_2336,plain,
    class_Lattices_Obounded__lattice(tc_HOL_Obool),
    inference(split_conjunct,[status(thm)],[c_0_1565]) ).

cnf(c_0_2337,plain,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk38_8(X8,X7,X6,X5,X4,X3,X2,X1),esk39_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),esk41_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    c_0_1566,
    [final] ).

cnf(c_0_2338,plain,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,esk36_8(X8,X7,X6,X5,X4,X3,X2,X1),esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    c_0_1567,
    [final] ).

cnf(c_0_2339,plain,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,esk38_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk39_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    c_0_1568,
    [final] ).

cnf(c_0_2340,plain,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,esk36_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    c_0_1569,
    [final] ).

cnf(c_0_2341,plain,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    c_0_1570,
    [final] ).

cnf(c_0_2342,plain,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),esk35_8(X8,X7,X6,X5,X4,X3,X2,X1))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    c_0_1571,
    [final] ).

cnf(c_0_2343,plain,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | hBOOL(hAPP(hAPP(X8,esk40_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    c_0_1572,
    [final] ).

cnf(c_0_2344,plain,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | hBOOL(hAPP(hAPP(X8,esk34_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    c_0_1573,
    [final] ).

cnf(c_0_2345,plain,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk42_7(X7,X6,X5,X4,X3,X2,X1),esk43_7(X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)) ),
    c_0_1574,
    [final] ).

cnf(c_0_2346,plain,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,esk42_7(X7,X6,X5,X4,X3,X2,X1),esk43_7(X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)) ),
    c_0_1575,
    [final] ).

cnf(c_0_2347,plain,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    c_0_1576,
    [final] ).

cnf(c_0_2348,plain,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    c_0_1577,
    [final] ).

cnf(c_0_2349,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk22_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,esk22_7(X6,X5,X4,X3,X2,X1,X7))) ),
    c_0_1578,
    [final] ).

cnf(c_0_2350,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | X6 != hAPP(hAPP(X4,X7),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk27_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,esk27_7(X6,X5,X4,X3,X2,X1,X7))) ),
    c_0_1579,
    [final] ).

cnf(c_0_2351,plain,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | hAPP(hAPP(X3,esk86_7(X7,X6,X5,X4,X3,X2,X1)),esk87_7(X7,X6,X5,X4,X3,X2,X1)) = hAPP(hAPP(X3,X6),X7)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    c_0_1580,
    [final] ).

cnf(c_0_2352,plain,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | hAPP(hAPP(X3,esk86_7(X7,X6,X5,X4,X3,X2,X1)),esk87_7(X7,X6,X5,X4,X3,X2,X1)) = hAPP(hAPP(X3,X6),X7)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    c_0_1581,
    [final] ).

cnf(c_0_2353,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk22_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5) ),
    c_0_1582,
    [final] ).

cnf(c_0_2354,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk27_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | X6 != hAPP(hAPP(X4,X7),X5) ),
    c_0_1583,
    [final] ).

cnf(c_0_2355,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk25_6(X6,X4,X2,X3,X5,X1),hAPP(X6,esk25_6(X6,X4,X2,X3,X5,X1))) ),
    c_0_1584,
    [final] ).

cnf(c_0_2356,plain,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | c_member(X1,esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    c_0_1585,
    [final] ).

cnf(c_0_2357,plain,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_member(X1,esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    c_0_1586,
    [final] ).

cnf(c_0_2358,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(esk21_6(X6,X5,X4,X3,X2,X1),X7))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3) ),
    c_0_1587,
    [final] ).

cnf(c_0_2359,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(esk26_6(X6,X5,X4,X3,X2,X1),X7))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3) ),
    c_0_1588,
    [final] ).

cnf(c_0_2360,plain,
    ( c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X6,X4,X5)
    | hAPP(X3,esk50_6(X6,X5,X4,X3,X2,X1)) != hAPP(X6,esk50_6(X6,X5,X4,X3,X2,X1)) ),
    c_0_1589,
    [final] ).

cnf(c_0_2361,plain,
    ( hAPP(hAPP(X4,esk21_6(X6,X5,X4,X3,X2,X1)),X5) = hAPP(hAPP(X4,X6),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5)) ),
    c_0_1590,
    [final] ).

cnf(c_0_2362,plain,
    ( hAPP(hAPP(X4,esk26_6(X6,X5,X4,X3,X2,X1)),X5) = X6
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6) ),
    c_0_1591,
    [final] ).

cnf(c_0_2363,plain,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk25_6(X6,X4,X2,X3,X5,X1),X5),X3) ),
    c_0_1592,
    [final] ).

cnf(c_0_2364,plain,
    ( c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X6,X4,X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk50_6(X6,X5,X4,X3,X2,X1),X5),X4) ),
    c_0_1593,
    [final] ).

cnf(c_0_2365,plain,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1,X4,X5)) ),
    c_0_1594,
    [final] ).

cnf(c_0_2366,plain,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1,X4,X5)) ),
    c_0_1595,
    [final] ).

cnf(c_0_2367,plain,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X9)
    | ~ c_member(X1,X8,X5)
    | hAPP(hAPP(X3,X6),X7) != hAPP(hAPP(X3,X8),X9) ),
    c_0_1596,
    [final] ).

cnf(c_0_2368,plain,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X6,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X7)
    | ~ c_member(X1,X6,X5) ),
    c_0_1597,
    [final] ).

cnf(c_0_2369,plain,
    ( hBOOL(c_Product__Type_Ocurry(X1,X2,tc_HOL_Obool,X3,X4,X5))
    | ~ hBOOL(hAPP(X3,c_Product__Type_OPair(X1,X2,X4,X5))) ),
    c_0_1598,
    [final] ).

cnf(c_0_2370,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk69_5(X5,X4,X3,X2,X1),esk70_5(X5,X4,X3,X2,X1)),X5)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    c_0_1599,
    [final] ).

cnf(c_0_2371,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk68_5(X5,X4,X3,X2,X1),esk67_5(X5,X4,X3,X2,X1)),X5)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    c_0_1600,
    [final] ).

cnf(c_0_2372,plain,
    ( hBOOL(hAPP(X5,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk48_5(X5,X4,X3,X2,X1),esk49_5(X5,X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    c_0_1601,
    [final] ).

cnf(c_0_2373,plain,
    ( hBOOL(hAPP(X5,X2))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk46_5(X5,X4,X3,X2,X1),esk47_5(X5,X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    c_0_1602,
    [final] ).

cnf(c_0_2374,plain,
    ( hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,esk49_5(X5,X4,X3,X2,X1))) ),
    c_0_1603,
    [final] ).

cnf(c_0_2375,plain,
    ( hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,esk46_5(X5,X4,X3,X2,X1))) ),
    c_0_1604,
    [final] ).

cnf(c_0_2376,plain,
    hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Nitpick_Owf__wfrec(X1,X2,X3,X4),X3,X5)),X5) = c_Nitpick_Owf__wfrec_H(X1,X2,X3,X4,X5),
    c_0_1605,
    [final] ).

cnf(c_0_2377,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk69_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    c_0_1606,
    [final] ).

cnf(c_0_2378,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk67_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    c_0_1607,
    [final] ).

cnf(c_0_2379,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk84_5(X4,X3,X2,X1,X5),X5),X2)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    c_0_1608,
    [final] ).

cnf(c_0_2380,plain,
    ( hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Recdef_Owfrec(X1,X2,X3,X4),X3,X5)),X5) = hAPP(c_Recdef_Owfrec(X1,X2,X3,X4),X5)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_1609,
    [final] ).

cnf(c_0_2381,plain,
    ( hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Recdef_Owfrec(X1,X2,X3,X4),X3,X5)),X5) = hAPP(c_Recdef_Owfrec(X1,X2,X3,X4),X5)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_1610,
    [final] ).

cnf(c_0_2382,plain,
    c_Product__Type_Ocurry(X1,X2,X3,X4,X5,X6) = hAPP(X4,c_Product__Type_OPair(X1,X2,X5,X6)),
    c_0_1611,
    [final] ).

cnf(c_0_2383,plain,
    ( hBOOL(hAPP(X5,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk48_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    c_0_1612,
    [final] ).

cnf(c_0_2384,plain,
    ( hBOOL(hAPP(X5,X2))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk47_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    c_0_1613,
    [final] ).

cnf(c_0_2385,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    c_0_1614,
    [final] ).

cnf(c_0_2386,plain,
    ( c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,esk88_5(X5,X4,X3,X2,X1),X2),X4)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    c_0_1615,
    [final] ).

cnf(c_0_2387,plain,
    ( c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,esk83_5(X5,X4,X3,X2,X1),X2),X4)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    c_0_1616,
    [final] ).

cnf(c_0_2388,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) = c_FunDef_Omax__weak,
    c_0_1617,
    [final] ).

cnf(c_0_2389,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) = c_FunDef_Omin__weak,
    c_0_1618,
    [final] ).

cnf(c_0_2390,plain,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | hAPP(hAPP(X3,X6),X7) != X4
    | X5 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    c_0_1619,
    [final] ).

cnf(c_0_2391,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | esk70_5(X5,X4,X3,X2,X1) != esk69_5(X5,X4,X3,X2,X1) ),
    c_0_1620,
    [final] ).

cnf(c_0_2392,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | esk67_5(X5,X4,X3,X2,X1) != esk68_5(X5,X4,X3,X2,X1) ),
    c_0_1621,
    [final] ).

cnf(c_0_2393,plain,
    c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4),
    c_0_1622,
    [final] ).

cnf(c_0_2394,plain,
    c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4),
    c_0_1623,
    [final] ).

cnf(c_0_2395,plain,
    ( hBOOL(hAPP(X5,X3))
    | hBOOL(hAPP(X5,esk48_5(X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    c_0_1624,
    [final] ).

cnf(c_0_2396,plain,
    ( hBOOL(hAPP(X5,X2))
    | hBOOL(hAPP(X5,esk47_5(X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    c_0_1625,
    [final] ).

cnf(c_0_2397,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | X3 = X5
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    c_0_1626,
    [final] ).

cnf(c_0_2398,plain,
    ( c_Relation_Orel__comp(X1,X1,X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) ),
    c_0_1627,
    [final] ).

cnf(c_0_2399,plain,
    ( hAPP(hAPP(X3,c_Recdef_Ocut(X4,X5,X1,X6,X2)),X2) = hAPP(X1,X2)
    | ~ c_Wellfounded_Owf(X4,X6)
    | X1 != c_Recdef_Owfrec(X4,X5,X6,X3) ),
    c_0_1628,
    [final] ).

cnf(c_0_2400,plain,
    ( c_FunDef_Oreduction__pair(X1,c_Product__Type_OPair(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_Orel__comp(X1,X1,X1,X2,X3),X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    c_0_1629,
    [final] ).

cnf(c_0_2401,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Relation_Orel__comp(X1,X5,X2,X6,X7))
    | ~ c_member(tc_prod(X5,X2),c_Product__Type_OPair(X5,X2,X8,X4),X7)
    | ~ c_member(tc_prod(X1,X5),c_Product__Type_OPair(X1,X5,X3,X8),X6) ),
    c_0_1630,
    [final] ).

cnf(c_0_2402,plain,
    ( hAPP(X1,X2) = hAPP(X3,X2)
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X5),X6)
    | c_Recdef_Ocut(X4,X7,X1,X6,X5) != c_Recdef_Ocut(X4,X7,X3,X6,X5) ),
    c_0_1631,
    [final] ).

cnf(c_0_2403,plain,
    ( c_member(X1,esk84_5(X4,X3,X2,X1,X5),X4)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    c_0_1632,
    [final] ).

cnf(c_0_2404,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__weak)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__weak)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    c_0_1633,
    [final] ).

cnf(c_0_2405,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__weak)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__weak)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    c_0_1634,
    [final] ).

cnf(c_0_2406,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__strict)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__strict)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    c_0_1635,
    [final] ).

cnf(c_0_2407,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__strict)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__strict)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    c_0_1636,
    [final] ).

cnf(c_0_2408,plain,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X3,X5)),c_Recdef_Osame__fst(X1,X2,X6,X7))
    | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X5),hAPP(X7,X3))
    | ~ hBOOL(hAPP(X6,X3)) ),
    c_0_1637,
    [final] ).

cnf(c_0_2409,plain,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | X3 != X5 ),
    c_0_1638,
    [final] ).

cnf(c_0_2410,plain,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7) ),
    c_0_1639,
    [final] ).

cnf(c_0_2411,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,esk85_4(X4,X3,X2,X1)),X2)
    | ~ c_member(X1,X5,X4) ),
    c_0_1640,
    [final] ).

cnf(c_0_2412,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    c_0_1641,
    [final] ).

cnf(c_0_2413,plain,
    ( c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)),c_Wellfounded_Omax__ext(X1,X6))
    | ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3,X5),c_Wellfounded_Omax__ext(X1,X6))
    | ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X2,X4),c_Wellfounded_Omax__ext(X1,X6)) ),
    c_0_1642,
    [final] ).

cnf(c_0_2414,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(X1,X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_Equiv__Relations_Oequiv(X1,X5,X4) ),
    c_0_1643,
    [final] ).

cnf(c_0_2415,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,esk63_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,esk64_4(X1,X5,X4,X3))) ),
    c_0_1644,
    [final] ).

cnf(c_0_2416,plain,
    ( c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,esk54_4(X2,X1,X4,X3),esk54_4(X2,X1,X4,X3)),c_Transitive__Closure_Otrancl(X3,X4))
    | X1 != X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4) ),
    c_0_1645,
    [final] ).

cnf(c_0_2417,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,esk80_4(X4,X3,X2,X1)),hAPP(X4,esk80_4(X4,X3,X2,X1))) ),
    c_0_1646,
    [final] ).

cnf(c_0_2418,plain,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X3,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4) ),
    c_0_1647,
    [final] ).

cnf(c_0_2419,plain,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X3,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4) ),
    c_0_1648,
    [final] ).

cnf(c_0_2420,plain,
    ( c_member(X3,esk88_5(X5,X4,X3,X2,X1),X5)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    c_0_1649,
    [final] ).

cnf(c_0_2421,plain,
    ( c_member(X3,esk83_5(X5,X4,X3,X2,X1),X5)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    c_0_1650,
    [final] ).

cnf(c_0_2422,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2) ),
    c_0_1651,
    [final] ).

cnf(c_0_2423,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Relation_Osingle__valued(X1,X1,X4) ),
    c_0_1652,
    [final] ).

cnf(c_0_2424,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk56_4(X4,X3,X2,X1)),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1653,
    [final] ).

cnf(c_0_2425,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk55_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1654,
    [final] ).

cnf(c_0_2426,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk56_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1655,
    [final] ).

cnf(c_0_2427,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk55_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1656,
    [final] ).

cnf(c_0_2428,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Product__Type_OPair(X3,X4,esk7_3(X4,X3,X1),esk8_3(X4,X3,X1)))) ),
    c_0_1657,
    [final] ).

cnf(c_0_2429,plain,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)),
    c_0_1658,
    [final] ).

cnf(c_0_2430,plain,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)),
    c_0_1659,
    [final] ).

cnf(c_0_2431,plain,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    c_0_1660,
    [final] ).

cnf(c_0_2432,plain,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    c_0_1661,
    [final] ).

cnf(c_0_2433,plain,
    ( ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1662,
    [final] ).

cnf(c_0_2434,plain,
    ( ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1663,
    [final] ).

cnf(c_0_2435,plain,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    c_0_1664,
    [final] ).

cnf(c_0_2436,plain,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    c_0_1665,
    [final] ).

cnf(c_0_2437,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_OId(X1),c_Relation_Orel__comp(X1,X1,X1,c_Transitive__Closure_Ortrancl(X1,X2),X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_1666,
    [final] ).

cnf(c_0_2438,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk45_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1667,
    [final] ).

cnf(c_0_2439,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk44_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1668,
    [final] ).

cnf(c_0_2440,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk52_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1669,
    [final] ).

cnf(c_0_2441,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk51_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1670,
    [final] ).

cnf(c_0_2442,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk45_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1671,
    [final] ).

cnf(c_0_2443,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk44_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1672,
    [final] ).

cnf(c_0_2444,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk52_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1673,
    [final] ).

cnf(c_0_2445,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk51_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1674,
    [final] ).

cnf(c_0_2446,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,esk63_4(X1,X5,X4,X3),X4)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,esk64_4(X1,X5,X4,X3))) ),
    c_0_1675,
    [final] ).

cnf(c_0_2447,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,esk64_4(X1,X5,X4,X3),X5)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,esk63_4(X1,X5,X4,X3))) ),
    c_0_1676,
    [final] ).

cnf(c_0_2448,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1677,
    [final] ).

cnf(c_0_2449,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1678,
    [final] ).

cnf(c_0_2450,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1679,
    [final] ).

cnf(c_0_2451,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1680,
    [final] ).

cnf(c_0_2452,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1681,
    [final] ).

cnf(c_0_2453,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    c_0_1682,
    [final] ).

cnf(c_0_2454,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1683,
    [final] ).

cnf(c_0_2455,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    c_0_1684,
    [final] ).

cnf(c_0_2456,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1685,
    [final] ).

cnf(c_0_2457,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    c_0_1686,
    [final] ).

cnf(c_0_2458,plain,
    ( hBOOL(hAPP(X1,esk59_4(X1,X5,X4,X3)))
    | hBOOL(hAPP(X1,esk60_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    c_0_1687,
    [final] ).

cnf(c_0_2459,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    c_0_1688,
    [final] ).

cnf(c_0_2460,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    c_0_1689,
    [final] ).

cnf(c_0_2461,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    c_0_1690,
    [final] ).

cnf(c_0_2462,plain,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))
    | ~ c_Wellfounded_Owf(X2,hAPP(X4,esk76_4(X1,X4,X2,X3))) ),
    c_0_1691,
    [final] ).

cnf(c_0_2463,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)
    | ~ c_member(X2,X4,c_Relation_OImage(X1,X2,X5,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    c_0_1692,
    [final] ).

cnf(c_0_2464,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | c_member(X1,esk85_4(X4,X3,X2,X1),X3)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2)) ),
    c_0_1693,
    [final] ).

cnf(c_0_2465,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,hAPP(X2,X3),hAPP(X2,X4)),X5)
    | ~ c_member(tc_prod(X6,X6),c_Product__Type_OPair(X6,X6,X3,X4),hAPP(c_Relation_Oinv__image(X1,X6,X5),X2)) ),
    c_0_1694,
    [final] ).

cnf(c_0_2466,plain,
    ( X2 = X3
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1) ),
    c_0_1695,
    [final] ).

cnf(c_0_2467,plain,
    ( c_member(X3,esk59_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,esk60_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    c_0_1696,
    [final] ).

cnf(c_0_2468,plain,
    ( hBOOL(hAPP(X1,esk59_4(X1,X5,X4,X3)))
    | c_member(X3,esk60_4(X1,X5,X4,X3),X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    c_0_1697,
    [final] ).

cnf(c_0_2469,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    c_0_1698,
    [final] ).

cnf(c_0_2470,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    c_0_1699,
    [final] ).

cnf(c_0_2471,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),hAPP(c_Relation_Oinv__image(X4,X1,X5),X6))
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,hAPP(X6,X2),hAPP(X6,X3)),X5) ),
    c_0_1700,
    [final] ).

cnf(c_0_2472,plain,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,c_Set_Oinsert(X3,X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    c_0_1701,
    [final] ).

cnf(c_0_2473,plain,
    ( X3 = X4
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    c_0_1702,
    [final] ).

cnf(c_0_2474,plain,
    ( c_Wellfounded_Owf(X1,X4)
    | ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    c_0_1703,
    [final] ).

cnf(c_0_2475,plain,
    ( c_Wellfounded_Oacyclic(X1,X4)
    | ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    c_0_1704,
    [final] ).

cnf(c_0_2476,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Oantisym(X3,X4) ),
    c_0_1705,
    [final] ).

cnf(c_0_2477,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Oantisym(X3,X4) ),
    c_0_1706,
    [final] ).

cnf(c_0_2478,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_Wellfounded_Owf(X1,X4) ),
    c_0_1707,
    [final] ).

cnf(c_0_2479,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_Wellfounded_Owf(X1,X4) ),
    c_0_1708,
    [final] ).

cnf(c_0_2480,plain,
    ( X3 = X4
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    c_0_1709,
    [final] ).

cnf(c_0_2481,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,esk19_4(X4,X2,X3,X1)),X4)
    | ~ c_member(X1,X3,c_Relation_ODomain(X1,X2,X4)) ),
    c_0_1710,
    [final] ).

cnf(c_0_2482,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk18_4(X3,X1,X4,X2),X4),X3)
    | ~ c_member(X2,X4,c_Relation_ORange(X1,X2,X3)) ),
    c_0_1711,
    [final] ).

cnf(c_0_2483,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk16_4(X3,X1,X4,X2),X4),X3)
    | ~ c_member(X2,X4,c_Relation_ORange(X1,X2,X3)) ),
    c_0_1712,
    [final] ).

cnf(c_0_2484,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,esk15_4(X4,X2,X3,X1)),X4)
    | ~ c_member(X1,X3,c_Relation_ODomain(X1,X2,X4)) ),
    c_0_1713,
    [final] ).

cnf(c_0_2485,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OField(X1,X4)) = c_Relation_OField(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)),
    c_0_1714,
    [final] ).

cnf(c_0_2486,plain,
    ( c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Wellfounded_Owf(X1,X4) ),
    c_0_1715,
    [final] ).

cnf(c_0_2487,plain,
    ( c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Wellfounded_Oacyclic(X1,X4) ),
    c_0_1716,
    [final] ).

cnf(c_0_2488,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    c_0_1717,
    [final] ).

cnf(c_0_2489,plain,
    c_Product__Type_Ointernal__split(X1,X2,X3,X4,c_Product__Type_OPair(X1,X2,X5,X6)) = hAPP(hAPP(X4,X5),X6),
    c_0_1718,
    [final] ).

cnf(c_0_2490,plain,
    c_Product__Type_Oprod_Oprod__rec(X1,X2,X3,X4,c_Product__Type_OPair(X1,X2,X5,X6)) = hAPP(hAPP(X4,X5),X6),
    c_0_1719,
    [final] ).

cnf(c_0_2491,plain,
    ( hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(X1,esk62_4(X1,X2,X3,X4)))
    | ~ c_member(X4,X5,X3) ),
    c_0_1720,
    [final] ).

cnf(c_0_2492,plain,
    ( hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(X1,esk62_4(X1,X2,X3,X4)))
    | ~ c_member(X4,X5,X2) ),
    c_0_1721,
    [final] ).

cnf(c_0_2493,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk13_3(X3,X2,X1),esk14_3(X3,X2,X1)),X3) ),
    c_0_1722,
    [final] ).

cnf(c_0_2494,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk14_3(X3,X2,X1),esk13_3(X3,X2,X1)),X3) ),
    c_0_1723,
    [final] ).

cnf(c_0_2495,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_OImage(X1,X2,X3,X5),c_Relation_OImage(X1,X2,X4,X5)) = c_Relation_OImage(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4),X5),
    c_0_1724,
    [final] ).

cnf(c_0_2496,plain,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))
    | hBOOL(hAPP(X3,esk76_4(X1,X4,X2,X3))) ),
    c_0_1725,
    [final] ).

cnf(c_0_2497,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1726,
    [final] ).

cnf(c_0_2498,plain,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1727,
    [final] ).

cnf(c_0_2499,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1728,
    [final] ).

cnf(c_0_2500,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1729,
    [final] ).

cnf(c_0_2501,plain,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | ~ c_member(X3,X6,X5) ),
    c_0_1730,
    [final] ).

cnf(c_0_2502,plain,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | ~ c_member(X3,X6,X5) ),
    c_0_1731,
    [final] ).

cnf(c_0_2503,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    c_0_1732,
    [final] ).

cnf(c_0_2504,plain,
    ( c_member(X3,esk59_4(X1,X5,X4,X3),X4)
    | c_member(X3,esk60_4(X1,X5,X4,X3),X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    c_0_1733,
    [final] ).

cnf(c_0_2505,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X1,X2,X3,X5)) = c_Relation_OImage(X1,X2,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)),
    c_0_1734,
    [final] ).

cnf(c_0_2506,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1735,
    [final] ).

cnf(c_0_2507,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,esk63_4(X1,X5,X4,X3),X4)
    | c_member(X3,esk64_4(X1,X5,X4,X3),X5)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    c_0_1736,
    [final] ).

cnf(c_0_2508,plain,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X3,X4)
    | ~ c_member(X1,X5,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,esk72_3(X2,X1,X4)),X2) ),
    c_0_1737,
    [final] ).

cnf(c_0_2509,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    c_0_1738,
    [final] ).

cnf(c_0_2510,plain,
    ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X3),X4),X5))
    | ~ c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X4,X5),X3) ),
    c_0_1739,
    [final] ).

cnf(c_0_2511,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | X3 = X2
    | ~ c_member(X1,X2,X5)
    | ~ c_member(X1,X3,X5)
    | ~ c_Relation_Ototal__on(X1,X5,X4) ),
    c_0_1740,
    [final] ).

cnf(c_0_2512,plain,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) ),
    c_0_1741,
    [final] ).

cnf(c_0_2513,plain,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,esk6_3(X3,X2,X1))) ),
    c_0_1742,
    [final] ).

cnf(c_0_2514,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X5,X6))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X6)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X5) ),
    c_0_1743,
    [final] ).

cnf(c_0_2515,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1744,
    [final] ).

cnf(c_0_2516,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)
    | ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X5),X3),X4)) ),
    c_0_1745,
    [final] ).

cnf(c_0_2517,plain,
    c_Relation_ORange(X1,X2,c_Set_Oinsert(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)) = c_Set_Oinsert(X2,X4,c_Relation_ORange(X1,X2,X5)),
    c_0_1746,
    [final] ).

cnf(c_0_2518,plain,
    c_Relation_ODomain(X1,X2,c_Set_Oinsert(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)) = c_Set_Oinsert(X1,X3,c_Relation_ODomain(X1,X2,X5)),
    c_0_1747,
    [final] ).

cnf(c_0_2519,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    c_0_1748,
    [final] ).

cnf(c_0_2520,plain,
    c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__weak),
    c_0_1749,
    [final] ).

cnf(c_0_2521,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1750,
    [final] ).

cnf(c_0_2522,plain,
    ( c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    c_0_1751,
    [final] ).

cnf(c_0_2523,plain,
    ( X2 = X3
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin) ),
    c_0_1752,
    [final] ).

cnf(c_0_2524,plain,
    ( c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    c_0_1753,
    [final] ).

cnf(c_0_2525,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4) ),
    c_0_1754,
    [final] ).

cnf(c_0_2526,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    c_0_1755,
    [final] ).

cnf(c_0_2527,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)),c_Relation_ODomain(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4))),
    c_0_1756,
    [final] ).

cnf(c_0_2528,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,X3),c_Relation_ORange(X2,X1,X4)),c_Relation_ORange(X2,X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X4))),
    c_0_1757,
    [final] ).

cnf(c_0_2529,plain,
    ( c_Relation_OImage(X1,X1,c_Transitive__Closure_Ortrancl(X1,X2),X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),X3) ),
    c_0_1758,
    [final] ).

cnf(c_0_2530,plain,
    ( hBOOL(hAPP(X1,esk61_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    c_0_1759,
    [final] ).

cnf(c_0_2531,plain,
    ( hBOOL(hAPP(X1,esk61_4(X1,X4,X5,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    c_0_1760,
    [final] ).

cnf(c_0_2532,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    c_0_1761,
    [final] ).

cnf(c_0_2533,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    c_0_1762,
    [final] ).

cnf(c_0_2534,plain,
    ( c_member(X1,X2,c_Relation_OImage(X1,X1,X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(X1,X2,X4)
    | ~ c_Equiv__Relations_Oequiv(X1,X4,X3) ),
    c_0_1763,
    [final] ).

cnf(c_0_2535,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    c_0_1764,
    [final] ).

cnf(c_0_2536,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    c_0_1765,
    [final] ).

cnf(c_0_2537,plain,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X1,X3))
    | X2 = X4
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    c_0_1766,
    [final] ).

cnf(c_0_2538,plain,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    c_0_1767,
    [final] ).

cnf(c_0_2539,plain,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk10_2(X2,X1),esk12_2(X2,X1)),X2) ),
    c_0_1768,
    [final] ).

cnf(c_0_2540,plain,
    ( c_Nitpick_Orefl_H(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk5_2(X2,X1),esk5_2(X2,X1)),X2) ),
    c_0_1769,
    [final] ).

cnf(c_0_2541,plain,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk2_2(X2,X1),esk4_2(X2,X1)),X2) ),
    c_0_1770,
    [final] ).

cnf(c_0_2542,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3))
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X3),hAPP(c_Wellfounded_Omeasure(X4),X1)) ),
    c_0_1771,
    [final] ).

cnf(c_0_2543,plain,
    ( c_member(X1,X2,c_Relation_ORange(X3,X1,X4))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    c_0_1772,
    [final] ).

cnf(c_0_2544,plain,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X3,X4))
    | ~ c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4) ),
    c_0_1773,
    [final] ).

cnf(c_0_2545,plain,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X3,X4))
    | ~ c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4) ),
    c_0_1774,
    [final] ).

cnf(c_0_2546,plain,
    ( c_member(X1,X2,c_Relation_ORange(X3,X1,X4))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    c_0_1775,
    [final] ).

cnf(c_0_2547,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk31_3(X3,X2,X1),esk32_3(X3,X2,X1)),X3) ),
    c_0_1776,
    [final] ).

cnf(c_0_2548,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk31_3(X3,X2,X1),esk33_3(X3,X2,X1)),X3) ),
    c_0_1777,
    [final] ).

cnf(c_0_2549,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk28_3(X3,X2,X1),esk29_3(X3,X2,X1)),X3) ),
    c_0_1778,
    [final] ).

cnf(c_0_2550,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk28_3(X3,X2,X1),esk30_3(X3,X2,X1)),X3) ),
    c_0_1779,
    [final] ).

cnf(c_0_2551,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X2),X5)
    | ~ c_Relation_Orefl__on(X1,X3,X5) ),
    c_0_1780,
    [final] ).

cnf(c_0_2552,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X5)
    | ~ c_Relation_Orefl__on(X1,X3,X5) ),
    c_0_1781,
    [final] ).

cnf(c_0_2553,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))),
    c_0_1782,
    [final] ).

cnf(c_0_2554,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    c_0_1783,
    [final] ).

cnf(c_0_2555,plain,
    ( c_member(X1,X2,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4)) ),
    c_0_1784,
    [final] ).

cnf(c_0_2556,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    c_0_1785,
    [final] ).

cnf(c_0_2557,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    c_0_1786,
    [final] ).

cnf(c_0_2558,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_Wellfounded_Oacyclic(X1,X3) ),
    c_0_1787,
    [final] ).

cnf(c_0_2559,plain,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    c_0_1788,
    [final] ).

cnf(c_0_2560,plain,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    c_0_1789,
    [final] ).

cnf(c_0_2561,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Relation_OImage(X2,X2,X3,X1))
    | ~ c_Wellfounded_Owf(X2,X3) ),
    c_0_1790,
    [final] ).

cnf(c_0_2562,plain,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4)) ),
    c_0_1791,
    [final] ).

cnf(c_0_2563,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Wellfounded_Oless__than) ),
    c_0_1792,
    [final] ).

cnf(c_0_2564,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk75_3(X2,X1,X3),X3),X2)
    | ~ c_member(X1,X3,esk73_2(X2,X1)) ),
    c_0_1793,
    [final] ).

cnf(c_0_2565,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_1794,
    [final] ).

cnf(c_0_2566,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_1795,
    [final] ).

cnf(c_0_2567,plain,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Relation_Oirrefl(X1,X3) ),
    c_0_1796,
    [final] ).

cnf(c_0_2568,plain,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Relation_OId(X3)) ),
    c_0_1797,
    [final] ).

cnf(c_0_2569,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk24_3(X3,X2,X1),X2),X3) ),
    c_0_1798,
    [final] ).

cnf(c_0_2570,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk23_3(X3,X2,X1),X2),X3) ),
    c_0_1799,
    [final] ).

cnf(c_0_2571,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk20_3(X3,X2,X1),X2),X3) ),
    c_0_1800,
    [final] ).

cnf(c_0_2572,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    c_0_1801,
    [final] ).

cnf(c_0_2573,plain,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    c_0_1802,
    [final] ).

cnf(c_0_2574,plain,
    ( X2 = X4
    | X3 = X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    c_0_1803,
    [final] ).

cnf(c_0_2575,plain,
    ( X3 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    c_0_1804,
    [final] ).

cnf(c_0_2576,plain,
    ( X3 = X5
    | X3 = X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    c_0_1805,
    [final] ).

cnf(c_0_2577,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)),
    c_0_1806,
    [final] ).

cnf(c_0_2578,plain,
    ( c_member(X3,esk61_4(X1,X5,X4,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    c_0_1807,
    [final] ).

cnf(c_0_2579,plain,
    ( c_member(X3,esk61_4(X1,X4,X5,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    c_0_1808,
    [final] ).

cnf(c_0_2580,plain,
    ( c_member(X1,esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | hBOOL(hAPP(X2,X5))
    | ~ c_member(X1,X5,X4) ),
    c_0_1809,
    [final] ).

cnf(c_0_2581,plain,
    ( c_member(X1,esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | hBOOL(hAPP(X2,X5))
    | ~ c_member(X1,X5,X3) ),
    c_0_1810,
    [final] ).

cnf(c_0_2582,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)))
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
    c_0_1811,
    [final] ).

cnf(c_0_2583,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)))
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X4)) ),
    c_0_1812,
    [final] ).

cnf(c_0_2584,plain,
    ( X3 = X5
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    c_0_1813,
    [final] ).

cnf(c_0_2585,plain,
    ( X4 = X6
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    c_0_1814,
    [final] ).

cnf(c_0_2586,plain,
    ( X3 = X5
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    c_0_1815,
    [final] ).

cnf(c_0_2587,plain,
    ( X4 = X6
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    c_0_1816,
    [final] ).

cnf(c_0_2588,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),hAPP(c_Wellfounded_Omeasure(X1),X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    c_0_1817,
    [final] ).

cnf(c_0_2589,plain,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | X2 != X4 ),
    c_0_1818,
    [final] ).

cnf(c_0_2590,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Relation_Orefl__on(X1,X4,X3) ),
    c_0_1819,
    [final] ).

cnf(c_0_2591,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk57_2(X2,X1),esk57_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)) ),
    c_0_1820,
    [final] ).

cnf(c_0_2592,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk53_2(X2,X1),esk53_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)) ),
    c_0_1821,
    [final] ).

cnf(c_0_2593,plain,
    ( c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) = X3
    | ~ c_member(X1,X2,X3) ),
    c_0_1822,
    [final] ).

cnf(c_0_2594,plain,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk77_2(X2,X1),esk78_2(X2,X1)),X2) ),
    c_0_1823,
    [final] ).

cnf(c_0_2595,plain,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk78_2(X2,X1),esk77_2(X2,X1)),X2) ),
    c_0_1824,
    [final] ).

cnf(c_0_2596,plain,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk65_2(X2,X1),esk66_2(X2,X1)),X2) ),
    c_0_1825,
    [final] ).

cnf(c_0_2597,plain,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk66_2(X2,X1),esk65_2(X2,X1)),X2) ),
    c_0_1826,
    [final] ).

cnf(c_0_2598,plain,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk10_2(X2,X1),esk11_2(X2,X1)),X2) ),
    c_0_1827,
    [final] ).

cnf(c_0_2599,plain,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk11_2(X2,X1),esk12_2(X2,X1)),X2) ),
    c_0_1828,
    [final] ).

cnf(c_0_2600,plain,
    ( c_Relation_Oirrefl(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk9_2(X2,X1),esk9_2(X2,X1)),X2) ),
    c_0_1829,
    [final] ).

cnf(c_0_2601,plain,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk2_2(X2,X1),esk3_2(X2,X1)),X2) ),
    c_0_1830,
    [final] ).

cnf(c_0_2602,plain,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk3_2(X2,X1),esk4_2(X2,X1)),X2) ),
    c_0_1831,
    [final] ).

cnf(c_0_2603,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | ~ c_member(X1,X2,X4)
    | X2 != X3 ),
    c_0_1832,
    [final] ).

cnf(c_0_2604,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | ~ c_member(X1,X2,X4)
    | X2 != X3 ),
    c_0_1833,
    [final] ).

cnf(c_0_2605,plain,
    c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) = c_Set_Oinsert(X1,X2,X3),
    c_0_1834,
    [final] ).

cnf(c_0_2606,plain,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    c_0_1835,
    [final] ).

cnf(c_0_2607,plain,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_1836,
    [final] ).

cnf(c_0_2608,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))) = c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)),
    c_0_1837,
    [final] ).

cnf(c_0_2609,plain,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Wellfounded_Oless__than)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_1838,
    [final] ).

cnf(c_0_2610,plain,
    ( c_Relation_Orefl__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))
    | ~ c_Relation_Orefl__on(X1,X3,X5)
    | ~ c_Relation_Orefl__on(X1,X2,X4) ),
    c_0_1839,
    [final] ).

cnf(c_0_2611,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    c_0_1840,
    [final] ).

cnf(c_0_2612,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    c_0_1841,
    [final] ).

cnf(c_0_2613,plain,
    ( c_Product__Type_OPair(X1,X1,esk17_3(X3,X2,X1),esk17_3(X3,X2,X1)) = X2
    | ~ c_member(tc_prod(X1,X1),X2,c_Relation_OId__on(X1,X3)) ),
    c_0_1842,
    [final] ).

cnf(c_0_2614,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1843,
    [final] ).

cnf(c_0_2615,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1844,
    [final] ).

cnf(c_0_2616,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X4),c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)),
    c_0_1845,
    [final] ).

cnf(c_0_2617,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X4),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4),
    c_0_1846,
    [final] ).

cnf(c_0_2618,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    c_0_1847,
    [final] ).

cnf(c_0_2619,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)) = c_Relation_ODomain(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)),
    c_0_1848,
    [final] ).

cnf(c_0_2620,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_ORange(X1,X2,X3),c_Relation_ORange(X1,X2,X4)) = c_Relation_ORange(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)),
    c_0_1849,
    [final] ).

cnf(c_0_2621,plain,
    c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X3)),
    c_0_1850,
    [final] ).

cnf(c_0_2622,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Nitpick_Orefl_H(X1,X3) ),
    c_0_1851,
    [final] ).

cnf(c_0_2623,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) ),
    c_0_1852,
    [final] ).

cnf(c_0_2624,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    c_0_1853,
    [final] ).

cnf(c_0_2625,plain,
    ( X1 = c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) ),
    c_0_1854,
    [final] ).

cnf(c_0_2626,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X3,X1),X2)) ),
    c_0_1855,
    [final] ).

cnf(c_0_2627,plain,
    ( c_Order__Relation_Owell__order__on(X1,X2,X3)
    | ~ c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    c_0_1856,
    [final] ).

cnf(c_0_2628,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId(X1))
    | X2 != X3 ),
    c_0_1857,
    [final] ).

cnf(c_0_2629,plain,
    c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Relation_OId(X1)),
    c_0_1858,
    [final] ).

cnf(c_0_2630,plain,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
    | ~ c_Wellfounded_Owf(X2,X4)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_1859,
    [final] ).

cnf(c_0_2631,plain,
    ( c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
    | ~ c_Relation_Otrans(X2,X4)
    | ~ c_Relation_Otrans(X1,X3) ),
    c_0_1860,
    [final] ).

cnf(c_0_2632,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1))) ),
    c_0_1861,
    [final] ).

cnf(c_0_2633,plain,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 != X5
    | X2 != X4 ),
    c_0_1862,
    [final] ).

cnf(c_0_2634,plain,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 != X4
    | X2 != X5 ),
    c_0_1863,
    [final] ).

cnf(c_0_2635,plain,
    ( c_FunDef_Oreduction__pair(X1,c_FunDef_Orp__inv__image(X2,X1,X3,X4))
    | ~ c_FunDef_Oreduction__pair(X2,X3) ),
    c_0_1864,
    [final] ).

cnf(c_0_2636,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    c_0_1865,
    [final] ).

cnf(c_0_2637,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    c_0_1866,
    [final] ).

cnf(c_0_2638,plain,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | X4 != X6
    | X3 != X5 ),
    c_0_1867,
    [final] ).

cnf(c_0_2639,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
    c_0_1868,
    [final] ).

cnf(c_0_2640,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1869,
    [final] ).

cnf(c_0_2641,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    c_0_1870,
    [final] ).

cnf(c_0_2642,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X3)
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X4)) ),
    c_0_1871,
    [final] ).

cnf(c_0_2643,plain,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    c_0_1872,
    [final] ).

cnf(c_0_2644,plain,
    ( c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
    c_0_1873,
    [final] ).

cnf(c_0_2645,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) = X4
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X2) ),
    c_0_1874,
    [final] ).

cnf(c_0_2646,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1875,
    [final] ).

cnf(c_0_2647,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    c_0_1876,
    [final] ).

cnf(c_0_2648,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)),
    c_0_1877,
    [final] ).

cnf(c_0_2649,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4)),
    c_0_1878,
    [final] ).

cnf(c_0_2650,plain,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) ),
    c_0_1879,
    [final] ).

cnf(c_0_2651,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X4) ),
    c_0_1880,
    [final] ).

cnf(c_0_2652,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = X3
    | c_member(X1,X2,X3) ),
    c_0_1881,
    [final] ).

cnf(c_0_2653,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_1882,
    [final] ).

cnf(c_0_2654,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_member(X1,X3,X2) ),
    c_0_1883,
    [final] ).

cnf(c_0_2655,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4) ),
    c_0_1884,
    [final] ).

cnf(c_0_2656,plain,
    ( c_Product__Type_OPair(X2,X2,esk58_2(X1,X2),esk58_2(X1,X2)) = X1
    | ~ c_member(tc_prod(X2,X2),X1,c_Relation_OId(X2)) ),
    c_0_1885,
    [final] ).

cnf(c_0_2657,plain,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    c_0_1886,
    [final] ).

cnf(c_0_2658,plain,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    c_0_1887,
    [final] ).

cnf(c_0_2659,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    c_0_1888,
    [final] ).

cnf(c_0_2660,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    c_0_1889,
    [final] ).

cnf(c_0_2661,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
    c_0_1890,
    [final] ).

cnf(c_0_2662,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    c_0_1891,
    [final] ).

cnf(c_0_2663,plain,
    ( c_member(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4)) ),
    c_0_1892,
    [final] ).

cnf(c_0_2664,plain,
    ( X1 = X2
    | ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
    c_0_1893,
    [final] ).

cnf(c_0_2665,plain,
    ( X1 = X2
    | ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
    c_0_1894,
    [final] ).

cnf(c_0_2666,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1895,
    [final] ).

cnf(c_0_2667,plain,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X4,X3,X1),X2)) ),
    c_0_1896,
    [final] ).

cnf(c_0_2668,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    c_0_1897,
    [final] ).

cnf(c_0_2669,plain,
    ( ~ c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    c_0_1898,
    [final] ).

cnf(c_0_2670,plain,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    c_0_1899,
    [final] ).

cnf(c_0_2671,plain,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    c_0_1900,
    [final] ).

cnf(c_0_2672,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
    | ~ hBOOL(hAPP(hAPP(X6,X2),X3)) ),
    c_0_1901,
    [final] ).

cnf(c_0_2673,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1) ),
    c_0_1902,
    [final] ).

cnf(c_0_2674,plain,
    ( c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Relation_Ototal__on(X1,X2,X3) ),
    c_0_1903,
    [final] ).

cnf(c_0_2675,plain,
    ( c_Order__Relation_Ostrict__linear__order__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    c_0_1904,
    [final] ).

cnf(c_0_2676,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_OField(X1,X2),c_Relation_OField(X1,X3)) = c_Relation_OField(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)),
    c_0_1905,
    [final] ).

cnf(c_0_2677,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    c_0_1906,
    [final] ).

cnf(c_0_2678,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    c_0_1907,
    [final] ).

cnf(c_0_2679,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_member(X1,X3,X4) ),
    c_0_1908,
    [final] ).

cnf(c_0_2680,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    c_0_1909,
    [final] ).

cnf(c_0_2681,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Set_Oinsert(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)),
    c_0_1910,
    [final] ).

cnf(c_0_2682,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) = c_Set_Oinsert(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4)),
    c_0_1911,
    [final] ).

cnf(c_0_2683,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    c_0_1912,
    [final] ).

cnf(c_0_2684,plain,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    c_0_1913,
    [final] ).

cnf(c_0_2685,plain,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    c_0_1914,
    [final] ).

cnf(c_0_2686,plain,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    c_0_1915,
    [final] ).

cnf(c_0_2687,plain,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    c_0_1916,
    [final] ).

cnf(c_0_2688,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    c_0_1917,
    [final] ).

cnf(c_0_2689,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    c_0_1918,
    [final] ).

cnf(c_0_2690,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    c_0_1919,
    [final] ).

cnf(c_0_2691,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | c_member(X1,X3,X2)
    | ~ c_member(X1,X3,X2) ),
    c_0_1920,
    [final] ).

cnf(c_0_2692,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,esk24_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    c_0_1921,
    [final] ).

cnf(c_0_2693,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,esk23_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    c_0_1922,
    [final] ).

cnf(c_0_2694,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,esk20_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    c_0_1923,
    [final] ).

cnf(c_0_2695,plain,
    ( c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Owell__order__on(X1,X2,X3) ),
    c_0_1924,
    [final] ).

cnf(c_0_2696,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) ),
    c_0_1925,
    [final] ).

cnf(c_0_2697,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1926,
    [final] ).

cnf(c_0_2698,plain,
    ( c_member(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    c_0_1927,
    [final] ).

cnf(c_0_2699,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2)) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    c_0_1928,
    [final] ).

cnf(c_0_2700,plain,
    ( c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,X3) ),
    c_0_1929,
    [final] ).

cnf(c_0_2701,plain,
    ( c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,X3) ),
    c_0_1930,
    [final] ).

cnf(c_0_2702,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    c_0_1931,
    [final] ).

cnf(c_0_2703,plain,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    c_0_1932,
    [final] ).

cnf(c_0_2704,plain,
    ( c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) ),
    c_0_1933,
    [final] ).

cnf(c_0_2705,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | ~ c_Relation_Osingle__valued(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
    c_0_1934,
    [final] ).

cnf(c_0_2706,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2) ),
    c_0_1935,
    [final] ).

cnf(c_0_2707,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    c_0_1936,
    [final] ).

cnf(c_0_2708,plain,
    ( X3 = X2
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    c_0_1937,
    [final] ).

cnf(c_0_2709,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3) = c_Set_Oinsert(X1,X2,X3),
    c_0_1938,
    [final] ).

cnf(c_0_2710,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    c_0_1939,
    [final] ).

cnf(c_0_2711,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_1940,
    [final] ).

cnf(c_0_2712,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_1941,
    [final] ).

cnf(c_0_2713,plain,
    ( X1 = X2
    | c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))) != c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))) ),
    c_0_1942,
    [final] ).

cnf(c_0_2714,plain,
    ( X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1) ),
    c_0_1943,
    [final] ).

cnf(c_0_2715,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OField(X1,X2),c_Relation_OField(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    c_0_1944,
    [final] ).

cnf(c_0_2716,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
    c_0_1945,
    [final] ).

cnf(c_0_2717,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) = c_FunDef_Opair__leq,
    c_0_1946,
    [final] ).

cnf(c_0_2718,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_1947,
    [final] ).

cnf(c_0_2719,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1948,
    [final] ).

cnf(c_0_2720,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_1949,
    [final] ).

cnf(c_0_2721,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_1950,
    [final] ).

cnf(c_0_2722,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1951,
    [final] ).

cnf(c_0_2723,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_1952,
    [final] ).

cnf(c_0_2724,plain,
    ( c_member(X1,esk17_3(X3,X2,X1),X3)
    | ~ c_member(tc_prod(X1,X1),X2,c_Relation_OId__on(X1,X3)) ),
    c_0_1953,
    [final] ).

cnf(c_0_2725,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(X1,esk75_3(X2,X1,X3),esk73_2(X2,X1))
    | ~ c_member(X1,X3,esk73_2(X2,X1)) ),
    c_0_1954,
    [final] ).

cnf(c_0_2726,plain,
    ( c_Relation_Otrans(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Otrans(X1,X2) ),
    c_0_1955,
    [final] ).

cnf(c_0_2727,plain,
    c_Relation_OImage(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
    c_0_1956,
    [final] ).

cnf(c_0_2728,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_member(X1,X3,X4) ),
    c_0_1957,
    [final] ).

cnf(c_0_2729,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_member(X1,X3,X2) ),
    c_0_1958,
    [final] ).

cnf(c_0_2730,plain,
    c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,X4)) = c_Set_Oinsert(X1,X3,c_Set_Oinsert(X1,X2,X4)),
    c_0_1959,
    [final] ).

cnf(c_0_2731,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1960,
    [final] ).

cnf(c_0_2732,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1961,
    [final] ).

cnf(c_0_2733,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1962,
    [final] ).

cnf(c_0_2734,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1963,
    [final] ).

cnf(c_0_2735,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    c_0_1964,
    [final] ).

cnf(c_0_2736,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    c_0_1965,
    [final] ).

cnf(c_0_2737,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    c_0_1966,
    [final] ).

cnf(c_0_2738,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    c_0_1967,
    [final] ).

cnf(c_0_2739,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    c_0_1968,
    [final] ).

cnf(c_0_2740,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    c_0_1969,
    [final] ).

cnf(c_0_2741,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    c_0_1970,
    [final] ).

cnf(c_0_2742,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    c_0_1971,
    [final] ).

cnf(c_0_2743,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    c_0_1972,
    [final] ).

cnf(c_0_2744,plain,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2),
    c_0_1973,
    [final] ).

cnf(c_0_2745,plain,
    ( c_member(X1,X2,X3)
    | X2 = X4
    | ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3)) ),
    c_0_1974,
    [final] ).

cnf(c_0_2746,plain,
    ( c_member(X1,X2,X3)
    | X2 = X4
    | ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3)) ),
    c_0_1975,
    [final] ).

cnf(c_0_2747,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X3) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),
    c_0_1976,
    [final] ).

cnf(c_0_2748,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X3) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    c_0_1977,
    [final] ).

cnf(c_0_2749,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    c_0_1978,
    [final] ).

cnf(c_0_2750,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    c_0_1979,
    [final] ).

cnf(c_0_2751,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    c_0_1980,
    [final] ).

cnf(c_0_2752,plain,
    ( c_Relation_Otrans(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Otrans(X1,X2) ),
    c_0_1981,
    [final] ).

cnf(c_0_2753,plain,
    ( c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Oantisym(X1,X2) ),
    c_0_1982,
    [final] ).

cnf(c_0_2754,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)) = c_Relation_OField(X1,X2),
    c_0_1983,
    [final] ).

cnf(c_0_2755,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_1984,
    [final] ).

cnf(c_0_2756,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_1985,
    [final] ).

cnf(c_0_2757,plain,
    c_Transitive__Closure_Otrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_1986,
    [final] ).

cnf(c_0_2758,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    c_0_1987,
    [final] ).

cnf(c_0_2759,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    c_0_1988,
    [final] ).

cnf(c_0_2760,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    c_0_1989,
    [final] ).

cnf(c_0_2761,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    c_0_1990,
    [final] ).

cnf(c_0_2762,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    c_0_1991,
    [final] ).

cnf(c_0_2763,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    c_0_1992,
    [final] ).

cnf(c_0_2764,plain,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    c_0_1993,
    [final] ).

cnf(c_0_2765,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    c_0_1994,
    [final] ).

cnf(c_0_2766,plain,
    ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,X2),X3,X4),X5) = c_Groups_Ominus__class_Ominus(X2,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Groups_Ominus(X2) ),
    c_0_1995,
    [final] ).

cnf(c_0_2767,plain,
    ( hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,X2),X3,X4),X5) = c_Lattices_Osemilattice__sup__class_Osup(X2,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Lattices_Olattice(X2) ),
    c_0_1996,
    [final] ).

cnf(c_0_2768,plain,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | X3 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X2,X4) ),
    c_0_1997,
    [final] ).

cnf(c_0_2769,plain,
    c_Relation_Oirrefl(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))),
    c_0_1998,
    [final] ).

cnf(c_0_2770,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | X2 != X3 ),
    c_0_1999,
    [final] ).

cnf(c_0_2771,plain,
    ( c_Wellfounded_Owf(X1,hAPP(c_Relation_Oinv__image(X2,X1,X3),X4))
    | ~ c_Wellfounded_Owf(X2,X3) ),
    c_0_2000,
    [final] ).

cnf(c_0_2772,plain,
    ( c_Relation_Otrans(X1,hAPP(c_Relation_Oinv__image(X2,X1,X3),X4))
    | ~ c_Relation_Otrans(X2,X3) ),
    c_0_2001,
    [final] ).

cnf(c_0_2773,plain,
    ( c_member(X1,esk72_3(X2,X1,X4),X4)
    | ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X3,X4) ),
    c_0_2002,
    [final] ).

cnf(c_0_2774,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X2 != X3 ),
    c_0_2003,
    [final] ).

cnf(c_0_2775,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    c_0_2004,
    [final] ).

cnf(c_0_2776,plain,
    ( X3 = X2
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    c_0_2005,
    [final] ).

cnf(c_0_2777,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    c_0_2006,
    [final] ).

cnf(c_0_2778,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    c_0_2007,
    [final] ).

cnf(c_0_2779,plain,
    ( c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_member(X1,X2,X4) ),
    c_0_2008,
    [final] ).

cnf(c_0_2780,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    c_0_2009,
    [final] ).

cnf(c_0_2781,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    c_0_2010,
    [final] ).

cnf(c_0_2782,plain,
    c_Order__Relation_Owell__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    c_0_2011,
    [final] ).

cnf(c_0_2783,plain,
    c_Order__Relation_Olinear__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    c_0_2012,
    [final] ).

cnf(c_0_2784,plain,
    c_Relation_Orefl__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    c_0_2013,
    [final] ).

cnf(c_0_2785,plain,
    c_Order__Relation_Opreorder__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    c_0_2014,
    [final] ).

cnf(c_0_2786,plain,
    c_Order__Relation_Opartial__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    c_0_2015,
    [final] ).

cnf(c_0_2787,plain,
    ( ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3) ),
    c_0_2016,
    [final] ).

cnf(c_0_2788,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) ),
    c_0_2017,
    [final] ).

cnf(c_0_2789,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2018,
    [final] ).

cnf(c_0_2790,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2019,
    [final] ).

cnf(c_0_2791,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2020,
    [final] ).

cnf(c_0_2792,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2021,
    [final] ).

cnf(c_0_2793,plain,
    c_Relation_OImage(X1,X1,c_Relation_OId(X1),X2) = X2,
    c_0_2022,
    [final] ).

cnf(c_0_2794,plain,
    c_Transitive__Closure_Otrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),
    c_0_2023,
    [final] ).

cnf(c_0_2795,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    c_0_2024,
    [final] ).

cnf(c_0_2796,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    c_0_2025,
    [final] ).

cnf(c_0_2797,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    c_0_2026,
    [final] ).

cnf(c_0_2798,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | X2 != X4 ),
    c_0_2027,
    [final] ).

cnf(c_0_2799,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    c_0_2028,
    [final] ).

cnf(c_0_2800,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    c_0_2029,
    [final] ).

cnf(c_0_2801,plain,
    c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) = c_FunDef_Opair__less,
    c_0_2030,
    [final] ).

cnf(c_0_2802,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    c_0_2031,
    [final] ).

cnf(c_0_2803,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    c_0_2032,
    [final] ).

cnf(c_0_2804,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4) ),
    c_0_2033,
    [final] ).

cnf(c_0_2805,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    c_0_2034,
    [final] ).

cnf(c_0_2806,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    c_0_2035,
    [final] ).

cnf(c_0_2807,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | ~ c_Wellfounded_Oacyclic(X1,X3) ),
    c_0_2036,
    [final] ).

cnf(c_0_2808,plain,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    c_0_2037,
    [final] ).

cnf(c_0_2809,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_2038,
    [final] ).

cnf(c_0_2810,plain,
    c_Relation_ORange(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
    c_0_2039,
    [final] ).

cnf(c_0_2811,plain,
    c_Relation_ODomain(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    c_0_2040,
    [final] ).

cnf(c_0_2812,plain,
    ( c_Wellfounded_OwfP(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X2,X3)
    | ~ c_Wellfounded_OwfP(X1,X3) ),
    c_0_2041,
    [final] ).

cnf(c_0_2813,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2042,
    [final] ).

cnf(c_0_2814,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2043,
    [final] ).

cnf(c_0_2815,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2044,
    [final] ).

cnf(c_0_2816,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2045,
    [final] ).

cnf(c_0_2817,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2046,
    [final] ).

cnf(c_0_2818,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2047,
    [final] ).

cnf(c_0_2819,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2048,
    [final] ).

cnf(c_0_2820,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2049,
    [final] ).

cnf(c_0_2821,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_member(tc_prod(X1,X1),X2,X3) ),
    c_0_2050,
    [final] ).

cnf(c_0_2822,plain,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_member(tc_prod(X1,X1),X2,X3) ),
    c_0_2051,
    [final] ).

cnf(c_0_2823,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
    c_0_2052,
    [final] ).

cnf(c_0_2824,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X2),
    c_0_2053,
    [final] ).

cnf(c_0_2825,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)),
    c_0_2054,
    [final] ).

cnf(c_0_2826,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2)),
    c_0_2055,
    [final] ).

cnf(c_0_2827,plain,
    ( c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    c_0_2056,
    [final] ).

cnf(c_0_2828,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | esk33_3(X3,X2,X1) != esk32_3(X3,X2,X1) ),
    c_0_2057,
    [final] ).

cnf(c_0_2829,plain,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | esk30_3(X3,X2,X1) != esk29_3(X3,X2,X1) ),
    c_0_2058,
    [final] ).

cnf(c_0_2830,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | esk13_3(X3,X2,X1) != esk14_3(X3,X2,X1) ),
    c_0_2059,
    [final] ).

cnf(c_0_2831,plain,
    c_Set_Othe__elem(X1,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = X2,
    c_0_2060,
    [final] ).

cnf(c_0_2832,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2061,
    [final] ).

cnf(c_0_2833,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_2062,
    [final] ).

cnf(c_0_2834,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2063,
    [final] ).

cnf(c_0_2835,plain,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,X2,X4)
    | X3 != X4 ),
    c_0_2064,
    [final] ).

cnf(c_0_2836,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    c_0_2065,
    [final] ).

cnf(c_0_2837,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | c_member(X1,esk13_3(X3,X2,X1),X2) ),
    c_0_2066,
    [final] ).

cnf(c_0_2838,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | c_member(X1,esk14_3(X3,X2,X1),X2) ),
    c_0_2067,
    [final] ).

cnf(c_0_2839,plain,
    c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X2,X3)) = c_Set_Oinsert(X1,X2,X3),
    c_0_2068,
    [final] ).

cnf(c_0_2840,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
    c_0_2069,
    [final] ).

cnf(c_0_2841,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool))
    | c_Relation_ORange(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)) ),
    c_0_2070,
    [final] ).

cnf(c_0_2842,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool))
    | c_Relation_ODomain(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    c_0_2071,
    [final] ).

cnf(c_0_2843,plain,
    ( c_Relation_ORange(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)) ),
    c_0_2072,
    [final] ).

cnf(c_0_2844,plain,
    ( c_Relation_ODomain(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)) ),
    c_0_2073,
    [final] ).

cnf(c_0_2845,plain,
    ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    c_0_2074,
    [final] ).

cnf(c_0_2846,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    c_0_2075,
    [final] ).

cnf(c_0_2847,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    c_0_2076,
    [final] ).

cnf(c_0_2848,plain,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    c_0_2077,
    [final] ).

cnf(c_0_2849,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != X3 ),
    c_0_2078,
    [final] ).

cnf(c_0_2850,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    c_0_2079,
    [final] ).

cnf(c_0_2851,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    c_0_2080,
    [final] ).

cnf(c_0_2852,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2) ),
    c_0_2081,
    [final] ).

cnf(c_0_2853,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1) ),
    c_0_2082,
    [final] ).

cnf(c_0_2854,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
    | ~ hBOOL(hAPP(X4,X2)) ),
    c_0_2083,
    [final] ).

cnf(c_0_2855,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    c_0_2084,
    [final] ).

cnf(c_0_2856,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    c_0_2085,
    [final] ).

cnf(c_0_2857,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    c_0_2086,
    [final] ).

cnf(c_0_2858,plain,
    c_Relation_OField(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    c_0_2087,
    [final] ).

cnf(c_0_2859,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    c_0_2088,
    [final] ).

cnf(c_0_2860,plain,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    c_0_2089,
    [final] ).

cnf(c_0_2861,plain,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    c_0_2090,
    [final] ).

cnf(c_0_2862,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    c_0_2091,
    [final] ).

cnf(c_0_2863,plain,
    ( c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Oirrefl(X1,X3)
    | ~ c_Relation_Otrans(X1,X3) ),
    c_0_2092,
    [final] ).

cnf(c_0_2864,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X2)),
    c_0_2093,
    [final] ).

cnf(c_0_2865,plain,
    ( X4 = X5
    | ~ class_Groups_Oab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | X2 != X3 ),
    c_0_2094,
    [final] ).

cnf(c_0_2866,plain,
    ( X2 = X3
    | ~ class_Groups_Oab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | X4 != X5 ),
    c_0_2095,
    [final] ).

cnf(c_0_2867,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    c_0_2096,
    [final] ).

cnf(c_0_2868,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,esk79_2(X2,X1),c_Wellfounded_Oacc(X1,X2)) ),
    c_0_2097,
    [final] ).

cnf(c_0_2869,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,esk71_2(X2,X1),c_Wellfounded_Oacc(X1,X2)) ),
    c_0_2098,
    [final] ).

cnf(c_0_2870,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2099,
    [final] ).

cnf(c_0_2871,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2100,
    [final] ).

cnf(c_0_2872,plain,
    ( X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    c_0_2101,
    [final] ).

cnf(c_0_2873,plain,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    c_0_2102,
    [final] ).

cnf(c_0_2874,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2103,
    [final] ).

cnf(c_0_2875,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    c_0_2104,
    [final] ).

cnf(c_0_2876,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    c_0_2105,
    [final] ).

cnf(c_0_2877,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    c_0_2106,
    [final] ).

cnf(c_0_2878,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2107,
    [final] ).

cnf(c_0_2879,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2108,
    [final] ).

cnf(c_0_2880,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2109,
    [final] ).

cnf(c_0_2881,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2110,
    [final] ).

cnf(c_0_2882,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2111,
    [final] ).

cnf(c_0_2883,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    c_0_2112,
    [final] ).

cnf(c_0_2884,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Relation_OId(X1)) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_2113,
    [final] ).

cnf(c_0_2885,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId(X1)) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_2114,
    [final] ).

cnf(c_0_2886,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    c_0_2115,
    [final] ).

cnf(c_0_2887,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Relation_OId(X1),
    c_0_2116,
    [final] ).

cnf(c_0_2888,plain,
    c_Relation_Oantisym(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    c_0_2117,
    [final] ).

cnf(c_0_2889,plain,
    c_Wellfounded_Owf(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    c_0_2118,
    [final] ).

cnf(c_0_2890,plain,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    c_0_2119,
    [final] ).

cnf(c_0_2891,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_2120,
    [final] ).

cnf(c_0_2892,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2121,
    [final] ).

cnf(c_0_2893,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_2122,
    [final] ).

cnf(c_0_2894,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2123,
    [final] ).

cnf(c_0_2895,plain,
    ~ c_member(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    c_0_2124,
    [final] ).

cnf(c_0_2896,plain,
    ~ c_member(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    c_0_2125,
    [final] ).

cnf(c_0_2897,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | X2 != X3 ),
    c_0_2126,
    [final] ).

cnf(c_0_2898,plain,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | X2 != X3 ),
    c_0_2127,
    [final] ).

cnf(c_0_2899,plain,
    ( c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | ~ c_Relation_Oantisym(X1,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    c_0_2128,
    [final] ).

cnf(c_0_2900,plain,
    ( c_Order__Relation_Opreorder__on(X1,X2,X3)
    | ~ c_Relation_Otrans(X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3) ),
    c_0_2129,
    [final] ).

cnf(c_0_2901,plain,
    c_member(X1,X2,c_Set_Oinsert(X1,X2,X3)),
    c_0_2130,
    [final] ).

cnf(c_0_2902,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    c_0_2131,
    [final] ).

cnf(c_0_2903,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    c_0_2132,
    [final] ).

cnf(c_0_2904,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2),
    c_0_2133,
    [final] ).

cnf(c_0_2905,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X4 != X2
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2134,
    [final] ).

cnf(c_0_2906,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X4 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    c_0_2135,
    [final] ).

cnf(c_0_2907,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | X3 != X4
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2136,
    [final] ).

cnf(c_0_2908,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | X2 != X4
    | ~ class_Orderings_Oord(X1) ),
    c_0_2137,
    [final] ).

cnf(c_0_2909,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 != X2 ),
    c_0_2138,
    [final] ).

cnf(c_0_2910,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X4 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2139,
    [final] ).

cnf(c_0_2911,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X4 != X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    c_0_2140,
    [final] ).

cnf(c_0_2912,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | X3 != X4
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2141,
    [final] ).

cnf(c_0_2913,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | X2 != X4
    | ~ class_Orderings_Oord(X1) ),
    c_0_2142,
    [final] ).

cnf(c_0_2914,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 != X2 ),
    c_0_2143,
    [final] ).

cnf(c_0_2915,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2144,
    [final] ).

cnf(c_0_2916,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2145,
    [final] ).

cnf(c_0_2917,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2146,
    [final] ).

cnf(c_0_2918,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    c_0_2147,
    [final] ).

cnf(c_0_2919,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2148,
    [final] ).

cnf(c_0_2920,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2149,
    [final] ).

cnf(c_0_2921,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    c_0_2150,
    [final] ).

cnf(c_0_2922,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    c_0_2151,
    [final] ).

cnf(c_0_2923,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    c_0_2152,
    [final] ).

cnf(c_0_2924,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != X3 ),
    c_0_2153,
    [final] ).

cnf(c_0_2925,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    c_0_2154,
    [final] ).

cnf(c_0_2926,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2155,
    [final] ).

cnf(c_0_2927,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2156,
    [final] ).

cnf(c_0_2928,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2157,
    [final] ).

cnf(c_0_2929,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    c_0_2158,
    [final] ).

cnf(c_0_2930,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    c_0_2159,
    [final] ).

cnf(c_0_2931,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    c_0_2160,
    [final] ).

cnf(c_0_2932,plain,
    c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) = c_Relation_OId__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    c_0_2161,
    [final] ).

cnf(c_0_2933,plain,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    c_0_2162,
    [final] ).

cnf(c_0_2934,plain,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    c_0_2163,
    [final] ).

cnf(c_0_2935,plain,
    ( c_member(X3,X2,X4)
    | X1 != X2
    | ~ c_member(X3,X1,X4) ),
    c_0_2164,
    [final] ).

cnf(c_0_2936,plain,
    ( c_member(X3,X1,X4)
    | X1 != X2
    | ~ c_member(X3,X2,X4) ),
    c_0_2165,
    [final] ).

cnf(c_0_2937,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X4,X3)
    | X2 != X4 ),
    c_0_2166,
    [final] ).

cnf(c_0_2938,plain,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    c_0_2167,
    [final] ).

cnf(c_0_2939,plain,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    c_0_2168,
    [final] ).

cnf(c_0_2940,plain,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    c_0_2169,
    [final] ).

cnf(c_0_2941,plain,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    c_0_2170,
    [final] ).

cnf(c_0_2942,plain,
    ( c_Wellfounded_Owf(X1,c_Wellfounded_Omlex__prod(X1,X2,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_2171,
    [final] ).

cnf(c_0_2943,plain,
    ( c_Wellfounded_OwfP(X1,c_FunDef_Oin__rel(X1,X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    c_0_2172,
    [final] ).

cnf(c_0_2944,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X3
    | ~ c_member(X1,X2,X3) ),
    c_0_2173,
    [final] ).

cnf(c_0_2945,plain,
    ( c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Owell__order__on(X1,X2,X3) ),
    c_0_2174,
    [final] ).

cnf(c_0_2946,plain,
    ( c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    c_0_2175,
    [final] ).

cnf(c_0_2947,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    c_0_2176,
    [final] ).

cnf(c_0_2948,plain,
    ( c_Order__Relation_Opreorder__on(X1,X2,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    c_0_2177,
    [final] ).

cnf(c_0_2949,plain,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    c_0_2178,
    [final] ).

cnf(c_0_2950,plain,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    c_0_2179,
    [final] ).

cnf(c_0_2951,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    c_0_2180,
    [final] ).

cnf(c_0_2952,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    c_0_2181,
    [final] ).

cnf(c_0_2953,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    c_0_2182,
    [final] ).

cnf(c_0_2954,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_2183,
    [final] ).

cnf(c_0_2955,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_2184,
    [final] ).

cnf(c_0_2956,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_2185,
    [final] ).

cnf(c_0_2957,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_2186,
    [final] ).

cnf(c_0_2958,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_2187,
    [final] ).

cnf(c_0_2959,plain,
    c_Relation_ORange(X1,X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Relation_ORange(X1,X1,X2),
    c_0_2188,
    [final] ).

cnf(c_0_2960,plain,
    c_Relation_ODomain(X1,X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Relation_ODomain(X1,X1,X2),
    c_0_2189,
    [final] ).

cnf(c_0_2961,plain,
    ( ~ c_member(X1,X2,X3)
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    c_0_2190,
    [final] ).

cnf(c_0_2962,plain,
    ( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_member(X2,X3,X1) ),
    c_0_2191,
    [final] ).

cnf(c_0_2963,plain,
    ( ~ c_member(X1,X2,X3)
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    c_0_2192,
    [final] ).

cnf(c_0_2964,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = X2,
    c_0_2193,
    [final] ).

cnf(c_0_2965,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = X2,
    c_0_2194,
    [final] ).

cnf(c_0_2966,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = X2,
    c_0_2195,
    [final] ).

cnf(c_0_2967,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2),
    c_0_2196,
    [final] ).

cnf(c_0_2968,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_Set_Oinsert(X1,X2,X3),
    c_0_2197,
    [final] ).

cnf(c_0_2969,plain,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    c_0_2198,
    [final] ).

cnf(c_0_2970,plain,
    ( X1 = X2
    | hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
    c_0_2199,
    [final] ).

cnf(c_0_2971,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    c_0_2200,
    [final] ).

cnf(c_0_2972,plain,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(X1,esk74_2(X2,X1),esk73_2(X2,X1)) ),
    c_0_2201,
    [final] ).

cnf(c_0_2973,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 != X3 ),
    c_0_2202,
    [final] ).

cnf(c_0_2974,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2203,
    [final] ).

cnf(c_0_2975,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2204,
    [final] ).

cnf(c_0_2976,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2205,
    [final] ).

cnf(c_0_2977,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2206,
    [final] ).

cnf(c_0_2978,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2207,
    [final] ).

cnf(c_0_2979,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2208,
    [final] ).

cnf(c_0_2980,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2209,
    [final] ).

cnf(c_0_2981,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2210,
    [final] ).

cnf(c_0_2982,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2211,
    [final] ).

cnf(c_0_2983,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2212,
    [final] ).

cnf(c_0_2984,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2213,
    [final] ).

cnf(c_0_2985,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2214,
    [final] ).

cnf(c_0_2986,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_2215,
    [final] ).

cnf(c_0_2987,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X1) ),
    c_0_2216,
    [final] ).

cnf(c_0_2988,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2217,
    [final] ).

cnf(c_0_2989,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_2218,
    [final] ).

cnf(c_0_2990,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2219,
    [final] ).

cnf(c_0_2991,plain,
    ( c_member(X1,esk82_2(X2,X1),X2)
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    c_0_2220,
    [final] ).

cnf(c_0_2992,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | c_member(X2,esk81_2(X1,X2),X1) ),
    c_0_2221,
    [final] ).

cnf(c_0_2993,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X2 = X1 ),
    c_0_2222,
    [final] ).

cnf(c_0_2994,plain,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X2 = X1 ),
    c_0_2223,
    [final] ).

cnf(c_0_2995,plain,
    c_Relation_Ototal__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2),
    c_0_2224,
    [final] ).

cnf(c_0_2996,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    c_0_2225,
    [final] ).

cnf(c_0_2997,plain,
    ( X2 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1) ),
    c_0_2226,
    [final] ).

cnf(c_0_2998,plain,
    ( X3 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1) ),
    c_0_2227,
    [final] ).

cnf(c_0_2999,plain,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    c_0_2228,
    [final] ).

cnf(c_0_3000,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_2229,
    [final] ).

cnf(c_0_3001,plain,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    c_0_2230,
    [final] ).

cnf(c_0_3002,plain,
    ( c_member(X1,X2,X3)
    | ~ hBOOL(hAPP(X3,X2)) ),
    c_0_2231,
    [final] ).

cnf(c_0_3003,plain,
    ( c_Relation_Oantisym(X1,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    c_0_2232,
    [final] ).

cnf(c_0_3004,plain,
    ( c_Relation_Otrans(X1,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    c_0_2233,
    [final] ).

cnf(c_0_3005,plain,
    ( c_Relation_Otrans(X1,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    c_0_2234,
    [final] ).

cnf(c_0_3006,plain,
    ( c_Relation_Oirrefl(X1,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    c_0_2235,
    [final] ).

cnf(c_0_3007,plain,
    ( X1 = X2
    | ~ c_member(X3,X1,c_fequal(X2)) ),
    c_0_2236,
    [final] ).

cnf(c_0_3008,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    c_0_2237,
    [final] ).

cnf(c_0_3009,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2238,
    [final] ).

cnf(c_0_3010,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2239,
    [final] ).

cnf(c_0_3011,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2240,
    [final] ).

cnf(c_0_3012,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    c_0_2241,
    [final] ).

cnf(c_0_3013,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    c_0_2242,
    [final] ).

cnf(c_0_3014,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    c_0_2243,
    [final] ).

cnf(c_0_3015,plain,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2244,
    [final] ).

cnf(c_0_3016,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_2245,
    [final] ).

cnf(c_0_3017,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    c_0_2246,
    [final] ).

cnf(c_0_3018,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    c_0_2247,
    [final] ).

cnf(c_0_3019,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    c_0_2248,
    [final] ).

cnf(c_0_3020,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    c_0_2249,
    [final] ).

cnf(c_0_3021,plain,
    ( c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omin__ext(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    c_0_2250,
    [final] ).

cnf(c_0_3022,plain,
    ( c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omax__ext(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    c_0_2251,
    [final] ).

cnf(c_0_3023,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    c_0_2252,
    [final] ).

cnf(c_0_3024,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    c_0_2253,
    [final] ).

cnf(c_0_3025,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X3) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Orderings_Obot(X2) ),
    c_0_2254,
    [final] ).

cnf(c_0_3026,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | X3 != c_Orderings_Obot__class_Obot(X1)
    | X2 != c_Orderings_Obot__class_Obot(X1) ),
    c_0_2255,
    [final] ).

cnf(c_0_3027,plain,
    c_Relation_ODomain(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
    c_0_2256,
    [final] ).

cnf(c_0_3028,plain,
    c_Relation_ORange(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
    c_0_2257,
    [final] ).

cnf(c_0_3029,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    c_0_2258,
    [final] ).

cnf(c_0_3030,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | X1 != X2 ),
    c_0_2259,
    [final] ).

cnf(c_0_3031,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 != X2 ),
    c_0_2260,
    [final] ).

cnf(c_0_3032,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X3 != X2 ),
    c_0_2261,
    [final] ).

cnf(c_0_3033,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    c_0_2262,
    [final] ).

cnf(c_0_3034,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | X1 != X2 ),
    c_0_2263,
    [final] ).

cnf(c_0_3035,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 != X2 ),
    c_0_2264,
    [final] ).

cnf(c_0_3036,plain,
    c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)),
    c_0_2265,
    [final] ).

cnf(c_0_3037,plain,
    c_Relation_Orefl__on(X1,X2,c_Relation_OId__on(X1,X2)),
    c_0_2266,
    [final] ).

cnf(c_0_3038,plain,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X2) = X2,
    c_0_2267,
    [final] ).

cnf(c_0_3039,plain,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X2),
    c_0_2268,
    [final] ).

cnf(c_0_3040,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_fequal(X1),X2)) ),
    c_0_2269,
    [final] ).

cnf(c_0_3041,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Orderings_Obot__class_Obot(X1),X2) = X2
    | ~ class_Lattices_Obounded__lattice__bot(X1) ),
    c_0_2270,
    [final] ).

cnf(c_0_3042,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Orderings_Obot__class_Obot(X1)) = X2
    | ~ class_Lattices_Obounded__lattice__bot(X1) ),
    c_0_2271,
    [final] ).

cnf(c_0_3043,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Orderings_Obot__class_Obot(X1),X2)
    | ~ class_Orderings_Obot(X1) ),
    c_0_2272,
    [final] ).

cnf(c_0_3044,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    c_0_2273,
    [final] ).

cnf(c_0_3045,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2274,
    [final] ).

cnf(c_0_3046,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    c_0_2275,
    [final] ).

cnf(c_0_3047,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    c_0_2276,
    [final] ).

cnf(c_0_3048,plain,
    ( c_member(X1,X2,c_fequal(X3))
    | X2 != X3 ),
    c_0_2277,
    [final] ).

cnf(c_0_3049,plain,
    ( c_Wellfounded_Owf(X1,c_Transitive__Closure_Otrancl(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    c_0_2278,
    [final] ).

cnf(c_0_3050,plain,
    ( c_Relation_Oantisym(X1,c_Transitive__Closure_Ortrancl(X1,X2))
    | ~ c_Wellfounded_Oacyclic(X1,X2) ),
    c_0_2279,
    [final] ).

cnf(c_0_3051,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2) = X2
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2280,
    [final] ).

cnf(c_0_3052,plain,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2) = X2
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    c_0_2281,
    [final] ).

cnf(c_0_3053,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2282,
    [final] ).

cnf(c_0_3054,plain,
    c_Relation_Osingle__valued(X1,X1,c_Relation_OId(X1)),
    c_0_2283,
    [final] ).

cnf(c_0_3055,plain,
    ( c_Relation_Oantisym(X1,X2)
    | esk78_2(X2,X1) != esk77_2(X2,X1) ),
    c_0_2284,
    [final] ).

cnf(c_0_3056,plain,
    ( c_Relation_Oantisym(X1,X2)
    | esk66_2(X2,X1) != esk65_2(X2,X1) ),
    c_0_2285,
    [final] ).

cnf(c_0_3057,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    c_0_2286,
    [final] ).

cnf(c_0_3058,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    c_0_2287,
    [final] ).

cnf(c_0_3059,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    c_0_2288,
    [final] ).

cnf(c_0_3060,plain,
    c_Relation_Oinv__image(tc_Nat_Onat,X1,c_Wellfounded_Oless__than) = c_Wellfounded_Omeasure(X1),
    c_0_2289,
    [final] ).

cnf(c_0_3061,plain,
    c_Transitive__Closure_Otrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_2290,
    [final] ).

cnf(c_0_3062,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_2291,
    [final] ).

cnf(c_0_3063,plain,
    c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    c_0_2292,
    [final] ).

cnf(c_0_3064,plain,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    c_0_2293,
    [final] ).

cnf(c_0_3065,plain,
    c_Wellfounded_Owf(X1,hAPP(c_Wellfounded_Omeasure(X1),X2)),
    c_0_2294,
    [final] ).

cnf(c_0_3066,plain,
    ( hBOOL(hAPP(c_fequal(X1),X2))
    | X1 != X2 ),
    c_0_2295,
    [final] ).

cnf(c_0_3067,plain,
    c_Relation_Oantisym(X1,c_Relation_OId__on(X1,X2)),
    c_0_2296,
    [final] ).

cnf(c_0_3068,plain,
    c_Relation_Otrans(X1,c_Transitive__Closure_Otrancl(X1,X2)),
    c_0_2297,
    [final] ).

cnf(c_0_3069,plain,
    c_Relation_Otrans(X1,c_Transitive__Closure_Ortrancl(X1,X2)),
    c_0_2298,
    [final] ).

cnf(c_0_3070,plain,
    c_Relation_Otrans(X1,c_Relation_OId__on(X1,X2)),
    c_0_2299,
    [final] ).

cnf(c_0_3071,plain,
    ( c_Transitive__Closure_Otrancl(X1,X2) = X2
    | ~ c_Relation_Otrans(X1,X2) ),
    c_0_2300,
    [final] ).

cnf(c_0_3072,plain,
    ( class_Groups_Ominus(tc_fun(X1,X2))
    | ~ class_Groups_Ominus(X2) ),
    c_0_2301,
    [final] ).

cnf(c_0_3073,plain,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    c_0_2302,
    [final] ).

cnf(c_0_3074,plain,
    ( class_Orderings_Oord(tc_fun(X1,X2))
    | ~ class_Orderings_Oord(X2) ),
    c_0_2303,
    [final] ).

cnf(c_0_3075,plain,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    c_0_2304,
    [final] ).

cnf(c_0_3076,plain,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    c_0_2305,
    [final] ).

cnf(c_0_3077,plain,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_2306,
    [final] ).

cnf(c_0_3078,plain,
    ( class_Lattices_Osemilattice__sup(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    c_0_2307,
    [final] ).

cnf(c_0_3079,plain,
    ( class_Lattices_Obounded__lattice__bot(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2308,
    [final] ).

cnf(c_0_3080,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2309,
    [final] ).

cnf(c_0_3081,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    c_0_2310,
    [final] ).

cnf(c_0_3082,plain,
    c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) = c_FunDef_Omin__strict,
    c_0_2311,
    [final] ).

cnf(c_0_3083,plain,
    c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) = c_FunDef_Omax__strict,
    c_0_2312,
    [final] ).

cnf(c_0_3084,plain,
    c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    c_0_2313,
    [final] ).

cnf(c_0_3085,plain,
    c_Relation_Oantisym(X1,c_Relation_OId(X1)),
    c_0_2314,
    [final] ).

cnf(c_0_3086,plain,
    c_Relation_Otrans(X1,c_Relation_OId(X1)),
    c_0_2315,
    [final] ).

cnf(c_0_3087,plain,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    c_0_2316,
    [final] ).

cnf(c_0_3088,plain,
    c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) = c_Wellfounded_Oless__than,
    c_0_2317,
    [final] ).

cnf(c_0_3089,plain,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
    c_0_2318,
    [final] ).

cnf(c_0_3090,plain,
    c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than),
    c_0_2319,
    [final] ).

cnf(c_0_3091,plain,
    class_Groups_Ominus(tc_HOL_Obool),
    c_0_2320,
    [final] ).

cnf(c_0_3092,plain,
    class_Orderings_Obot(tc_HOL_Obool),
    c_0_2321,
    [final] ).

cnf(c_0_3093,plain,
    class_Orderings_Oord(tc_HOL_Obool),
    c_0_2322,
    [final] ).

cnf(c_0_3094,plain,
    class_Orderings_Oorder(tc_HOL_Obool),
    c_0_2323,
    [final] ).

cnf(c_0_3095,plain,
    class_Lattices_Olattice(tc_HOL_Obool),
    c_0_2324,
    [final] ).

cnf(c_0_3096,plain,
    class_Orderings_Opreorder(tc_HOL_Obool),
    c_0_2325,
    [final] ).

cnf(c_0_3097,plain,
    class_Lattices_Osemilattice__sup(tc_HOL_Obool),
    c_0_2326,
    [final] ).

cnf(c_0_3098,plain,
    class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
    c_0_2327,
    [final] ).

cnf(c_0_3099,plain,
    class_Groups_Ominus(tc_Nat_Onat),
    c_0_2328,
    [final] ).

cnf(c_0_3100,plain,
    class_Orderings_Obot(tc_Nat_Onat),
    c_0_2329,
    [final] ).

cnf(c_0_3101,plain,
    class_Orderings_Oord(tc_Nat_Onat),
    c_0_2330,
    [final] ).

cnf(c_0_3102,plain,
    class_Orderings_Oorder(tc_Nat_Onat),
    c_0_2331,
    [final] ).

cnf(c_0_3103,plain,
    class_Lattices_Olattice(tc_Nat_Onat),
    c_0_2332,
    [final] ).

cnf(c_0_3104,plain,
    class_Orderings_Olinorder(tc_Nat_Onat),
    c_0_2333,
    [final] ).

cnf(c_0_3105,plain,
    class_Orderings_Opreorder(tc_Nat_Onat),
    c_0_2334,
    [final] ).

cnf(c_0_3106,plain,
    class_Lattices_Osemilattice__sup(tc_Nat_Onat),
    c_0_2335,
    [final] ).

cnf(c_0_3107,plain,
    class_Lattices_Obounded__lattice(tc_HOL_Obool),
    c_0_2336,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_2337_0,axiom,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk38_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk39_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2337]) ).

cnf(c_0_2337_1,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk38_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk39_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2337]) ).

cnf(c_0_2337_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk38_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk39_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2337]) ).

cnf(c_0_2337_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk38_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk39_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2337]) ).

cnf(c_0_2338_0,axiom,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,sk1_esk36_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2338]) ).

cnf(c_0_2338_1,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,sk1_esk36_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2338]) ).

cnf(c_0_2338_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,sk1_esk36_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2338]) ).

cnf(c_0_2338_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,sk1_esk36_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))),X7)
    | hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2338]) ).

cnf(c_0_2339_0,axiom,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,sk1_esk38_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk39_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

cnf(c_0_2339_1,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,sk1_esk38_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk39_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

cnf(c_0_2339_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,sk1_esk38_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk39_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

cnf(c_0_2339_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,sk1_esk38_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk39_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

cnf(c_0_2340_0,axiom,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,sk1_esk36_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2340]) ).

cnf(c_0_2340_1,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,sk1_esk36_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2340]) ).

cnf(c_0_2340_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,sk1_esk36_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk37_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2340]) ).

cnf(c_0_2340_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,sk1_esk36_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk37_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2340]) ).

cnf(c_0_2341_0,axiom,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2341]) ).

cnf(c_0_2341_1,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2341]) ).

cnf(c_0_2341_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2341]) ).

cnf(c_0_2341_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2341]) ).

cnf(c_0_2342_0,axiom,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2342]) ).

cnf(c_0_2342_1,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2342]) ).

cnf(c_0_2342_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2342]) ).

cnf(c_0_2342_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2342]) ).

cnf(c_0_2343_0,axiom,
    ( hBOOL(hAPP(hAPP(X8,X3),X4))
    | hBOOL(hAPP(hAPP(X8,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2343]) ).

cnf(c_0_2343_1,axiom,
    ( hBOOL(hAPP(hAPP(X8,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2343]) ).

cnf(c_0_2343_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2343]) ).

cnf(c_0_2343_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,sk1_esk40_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk41_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2343]) ).

cnf(c_0_2344_0,axiom,
    ( hBOOL(hAPP(hAPP(X8,X5),X6))
    | hBOOL(hAPP(hAPP(X8,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2344]) ).

cnf(c_0_2344_1,axiom,
    ( hBOOL(hAPP(hAPP(X8,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2344]) ).

cnf(c_0_2344_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(hAPP(X8,X5),X6))
    | ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2344]) ).

cnf(c_0_2344_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X8,X3),X4))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | hBOOL(hAPP(hAPP(X8,sk1_esk34_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk35_8(X8,X7,X6,X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(hAPP(X8,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2344]) ).

cnf(c_0_2345_0,axiom,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk42_7(X7,X6,X5,X4,X3,X2,X1),sk1_esk43_7(X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2345]) ).

cnf(c_0_2345_1,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk42_7(X7,X6,X5,X4,X3,X2,X1),sk1_esk43_7(X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2345]) ).

cnf(c_0_2345_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk42_7(X7,X6,X5,X4,X3,X2,X1),sk1_esk43_7(X7,X6,X5,X4,X3,X2,X1)),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2345]) ).

cnf(c_0_2346_0,axiom,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,sk1_esk42_7(X7,X6,X5,X4,X3,X2,X1),sk1_esk43_7(X7,X6,X5,X4,X3,X2,X1))),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2346]) ).

cnf(c_0_2346_1,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,sk1_esk42_7(X7,X6,X5,X4,X3,X2,X1),sk1_esk43_7(X7,X6,X5,X4,X3,X2,X1))),X7)
    | c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2346]) ).

cnf(c_0_2346_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,sk1_esk42_7(X7,X6,X5,X4,X3,X2,X1),sk1_esk43_7(X7,X6,X5,X4,X3,X2,X1))),X7)
    | c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2346]) ).

cnf(c_0_2347_0,axiom,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2347]) ).

cnf(c_0_2347_1,axiom,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | hAPP(hAPP(X3,X6),X7) = X4
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2347]) ).

cnf(c_0_2347_2,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | hAPP(hAPP(X3,X6),X7) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2347]) ).

cnf(c_0_2348_0,axiom,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2348]) ).

cnf(c_0_2348_1,axiom,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2348]) ).

cnf(c_0_2348_2,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1))
    | X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2348]) ).

cnf(c_0_2349_0,axiom,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_2349]) ).

cnf(c_0_2349_1,axiom,
    ( hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_2349]) ).

cnf(c_0_2349_2,axiom,
    ( ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7)))
    | hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2349]) ).

cnf(c_0_2350_0,axiom,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | X6 != hAPP(hAPP(X4,X7),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_2350]) ).

cnf(c_0_2350_1,axiom,
    ( X6 != hAPP(hAPP(X4,X7),X5)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_2350]) ).

cnf(c_0_2350_2,axiom,
    ( ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7)))
    | X6 != hAPP(hAPP(X4,X7),X5)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2350]) ).

cnf(c_0_2351_0,axiom,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | hAPP(hAPP(X3,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1)) = hAPP(hAPP(X3,X6),X7)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2351]) ).

cnf(c_0_2351_1,axiom,
    ( hAPP(hAPP(X3,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1)) = hAPP(hAPP(X3,X6),X7)
    | hAPP(hAPP(X3,X6),X7) = X4
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2351]) ).

cnf(c_0_2351_2,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | hAPP(hAPP(X3,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1)) = hAPP(hAPP(X3,X6),X7)
    | hAPP(hAPP(X3,X6),X7) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2351]) ).

cnf(c_0_2352_0,axiom,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | hAPP(hAPP(X3,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1)) = hAPP(hAPP(X3,X6),X7)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2352]) ).

cnf(c_0_2352_1,axiom,
    ( hAPP(hAPP(X3,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1)) = hAPP(hAPP(X3,X6),X7)
    | X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2352]) ).

cnf(c_0_2352_2,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | hAPP(hAPP(X3,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk87_7(X7,X6,X5,X4,X3,X2,X1)) = hAPP(hAPP(X3,X6),X7)
    | X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2352]) ).

cnf(c_0_2353_0,axiom,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2353]) ).

cnf(c_0_2353_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2353]) ).

cnf(c_0_2353_2,axiom,
    ( hAPP(hAPP(X4,X6),X5) != hAPP(hAPP(X4,X7),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk22_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2353]) ).

cnf(c_0_2354_0,axiom,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | X6 != hAPP(hAPP(X4,X7),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2354]) ).

cnf(c_0_2354_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | X6 != hAPP(hAPP(X4,X7),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2354]) ).

cnf(c_0_2354_2,axiom,
    ( X6 != hAPP(hAPP(X4,X7),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk27_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2354]) ).

cnf(c_0_2355_0,axiom,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,sk1_esk25_6(X6,X4,X2,X3,X5,X1),hAPP(X6,sk1_esk25_6(X6,X4,X2,X3,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2355]) ).

cnf(c_0_2355_1,axiom,
    ( ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,sk1_esk25_6(X6,X4,X2,X3,X5,X1),hAPP(X6,sk1_esk25_6(X6,X4,X2,X3,X5,X1)))
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2355]) ).

cnf(c_0_2356_0,axiom,
    ( hAPP(hAPP(X3,X6),X7) = X4
    | c_member(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2356]) ).

cnf(c_0_2356_1,axiom,
    ( c_member(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | hAPP(hAPP(X3,X6),X7) = X4
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2356]) ).

cnf(c_0_2356_2,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | c_member(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | hAPP(hAPP(X3,X6),X7) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2356]) ).

cnf(c_0_2357_0,axiom,
    ( X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_member(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2357]) ).

cnf(c_0_2357_1,axiom,
    ( c_member(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2357]) ).

cnf(c_0_2357_2,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | c_member(X1,sk1_esk86_7(X7,X6,X5,X4,X3,X2,X1),X5)
    | X5 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2357]) ).

cnf(c_0_2358_0,axiom,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(sk1_esk21_6(X6,X5,X4,X3,X2,X1),X7))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2358]) ).

cnf(c_0_2358_1,axiom,
    ( ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(sk1_esk21_6(X6,X5,X4,X3,X2,X1),X7))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2358]) ).

cnf(c_0_2358_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(sk1_esk21_6(X6,X5,X4,X3,X2,X1),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2358]) ).

cnf(c_0_2359_0,axiom,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(sk1_esk26_6(X6,X5,X4,X3,X2,X1),X7))
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2359]) ).

cnf(c_0_2359_1,axiom,
    ( ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(sk1_esk26_6(X6,X5,X4,X3,X2,X1),X7))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2359]) ).

cnf(c_0_2359_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X7,X5),X3)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(sk1_esk26_6(X6,X5,X4,X3,X2,X1),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2359]) ).

cnf(c_0_2360_0,axiom,
    ( c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X6,X4,X5)
    | hAPP(X3,sk1_esk50_6(X6,X5,X4,X3,X2,X1)) != hAPP(X6,sk1_esk50_6(X6,X5,X4,X3,X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2360]) ).

cnf(c_0_2360_1,axiom,
    ( hAPP(X3,sk1_esk50_6(X6,X5,X4,X3,X2,X1)) != hAPP(X6,sk1_esk50_6(X6,X5,X4,X3,X2,X1))
    | c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2360]) ).

cnf(c_0_2361_0,axiom,
    ( hAPP(hAPP(X4,sk1_esk21_6(X6,X5,X4,X3,X2,X1)),X5) = hAPP(hAPP(X4,X6),X5)
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2361]) ).

cnf(c_0_2361_1,axiom,
    ( ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | hAPP(hAPP(X4,sk1_esk21_6(X6,X5,X4,X3,X2,X1)),X5) = hAPP(hAPP(X4,X6),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2361]) ).

cnf(c_0_2362_0,axiom,
    ( hAPP(hAPP(X4,sk1_esk26_6(X6,X5,X4,X3,X2,X1)),X5) = X6
    | ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2362]) ).

cnf(c_0_2362_1,axiom,
    ( ~ c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,X6)
    | hAPP(hAPP(X4,sk1_esk26_6(X6,X5,X4,X3,X2,X1)),X5) = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_2362]) ).

cnf(c_0_2363_0,axiom,
    ( c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk25_6(X6,X4,X2,X3,X5,X1),X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2363]) ).

cnf(c_0_2363_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk25_6(X6,X4,X2,X3,X5,X1),X5),X3)
    | c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2363]) ).

cnf(c_0_2364_0,axiom,
    ( c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X6,X4,X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk50_6(X6,X5,X4,X3,X2,X1),X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2364]) ).

cnf(c_0_2364_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk50_6(X6,X5,X4,X3,X2,X1),X5),X4)
    | c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2364]) ).

cnf(c_0_2365_0,axiom,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2365]) ).

cnf(c_0_2365_1,axiom,
    ( ~ hBOOL(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1,X4,X5))
    | hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2365]) ).

cnf(c_0_2366_0,axiom,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2366]) ).

cnf(c_0_2366_1,axiom,
    ( ~ hBOOL(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1,X4,X5))
    | hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2366]) ).

cnf(c_0_2367_0,axiom,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X9)
    | ~ c_member(X1,X8,X5)
    | hAPP(hAPP(X3,X6),X7) != hAPP(hAPP(X3,X8),X9) ),
    inference(literals_permutation,[status(thm)],[c_0_2367]) ).

cnf(c_0_2367_1,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X9)
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | ~ c_member(X1,X8,X5)
    | hAPP(hAPP(X3,X6),X7) != hAPP(hAPP(X3,X8),X9) ),
    inference(literals_permutation,[status(thm)],[c_0_2367]) ).

cnf(c_0_2367_2,axiom,
    ( ~ c_member(X1,X8,X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X9)
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | hAPP(hAPP(X3,X6),X7) != hAPP(hAPP(X3,X8),X9) ),
    inference(literals_permutation,[status(thm)],[c_0_2367]) ).

cnf(c_0_2367_3,axiom,
    ( hAPP(hAPP(X3,X6),X7) != hAPP(hAPP(X3,X8),X9)
    | ~ c_member(X1,X8,X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X9)
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2367]) ).

cnf(c_0_2368_0,axiom,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X6,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X7)
    | ~ c_member(X1,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2368]) ).

cnf(c_0_2368_1,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X6,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X7)
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | ~ c_member(X1,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2368]) ).

cnf(c_0_2368_2,axiom,
    ( ~ c_member(X1,X6,X5)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X6,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X7)
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2368]) ).

cnf(c_0_2369_0,axiom,
    ( hBOOL(c_Product__Type_Ocurry(X1,X2,tc_HOL_Obool,X3,X4,X5))
    | ~ hBOOL(hAPP(X3,c_Product__Type_OPair(X1,X2,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2369]) ).

cnf(c_0_2369_1,axiom,
    ( ~ hBOOL(hAPP(X3,c_Product__Type_OPair(X1,X2,X4,X5)))
    | hBOOL(c_Product__Type_Ocurry(X1,X2,tc_HOL_Obool,X3,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2369]) ).

cnf(c_0_2370_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk69_5(X5,X4,X3,X2,X1),sk1_esk70_5(X5,X4,X3,X2,X1)),X5)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2370]) ).

cnf(c_0_2370_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk69_5(X5,X4,X3,X2,X1),sk1_esk70_5(X5,X4,X3,X2,X1)),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2370]) ).

cnf(c_0_2370_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk69_5(X5,X4,X3,X2,X1),sk1_esk70_5(X5,X4,X3,X2,X1)),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2370]) ).

cnf(c_0_2371_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk68_5(X5,X4,X3,X2,X1),sk1_esk67_5(X5,X4,X3,X2,X1)),X5)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2371]) ).

cnf(c_0_2371_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk68_5(X5,X4,X3,X2,X1),sk1_esk67_5(X5,X4,X3,X2,X1)),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2371]) ).

cnf(c_0_2371_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk68_5(X5,X4,X3,X2,X1),sk1_esk67_5(X5,X4,X3,X2,X1)),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2371]) ).

cnf(c_0_2372_0,axiom,
    ( hBOOL(hAPP(X5,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk48_5(X5,X4,X3,X2,X1),sk1_esk49_5(X5,X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2372]) ).

cnf(c_0_2372_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk48_5(X5,X4,X3,X2,X1),sk1_esk49_5(X5,X4,X3,X2,X1)),X4)
    | hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2372]) ).

cnf(c_0_2372_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk48_5(X5,X4,X3,X2,X1),sk1_esk49_5(X5,X4,X3,X2,X1)),X4)
    | hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2372]) ).

cnf(c_0_2372_3,axiom,
    ( ~ hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk48_5(X5,X4,X3,X2,X1),sk1_esk49_5(X5,X4,X3,X2,X1)),X4)
    | hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2372]) ).

cnf(c_0_2373_0,axiom,
    ( hBOOL(hAPP(X5,X2))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk46_5(X5,X4,X3,X2,X1),sk1_esk47_5(X5,X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2373]) ).

cnf(c_0_2373_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk46_5(X5,X4,X3,X2,X1),sk1_esk47_5(X5,X4,X3,X2,X1)),X4)
    | hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2373]) ).

cnf(c_0_2373_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk46_5(X5,X4,X3,X2,X1),sk1_esk47_5(X5,X4,X3,X2,X1)),X4)
    | hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2373]) ).

cnf(c_0_2373_3,axiom,
    ( ~ hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk46_5(X5,X4,X3,X2,X1),sk1_esk47_5(X5,X4,X3,X2,X1)),X4)
    | hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2373]) ).

cnf(c_0_2374_0,axiom,
    ( hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,sk1_esk49_5(X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2374]) ).

cnf(c_0_2374_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,sk1_esk49_5(X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2374]) ).

cnf(c_0_2374_2,axiom,
    ( ~ hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,sk1_esk49_5(X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2374]) ).

cnf(c_0_2374_3,axiom,
    ( ~ hBOOL(hAPP(X5,sk1_esk49_5(X5,X4,X3,X2,X1)))
    | ~ hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2374]) ).

cnf(c_0_2375_0,axiom,
    ( hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,sk1_esk46_5(X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2375]) ).

cnf(c_0_2375_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,sk1_esk46_5(X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2375]) ).

cnf(c_0_2375_2,axiom,
    ( ~ hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,sk1_esk46_5(X5,X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2375]) ).

cnf(c_0_2375_3,axiom,
    ( ~ hBOOL(hAPP(X5,sk1_esk46_5(X5,X4,X3,X2,X1)))
    | ~ hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2375]) ).

cnf(c_0_2377_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk69_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2377]) ).

cnf(c_0_2377_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk69_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2377]) ).

cnf(c_0_2377_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk69_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2377]) ).

cnf(c_0_2378_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk67_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2378]) ).

cnf(c_0_2378_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk67_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2378]) ).

cnf(c_0_2378_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk67_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2378]) ).

cnf(c_0_2379_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk84_5(X4,X3,X2,X1,X5),X5),X2)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2379]) ).

cnf(c_0_2379_1,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk84_5(X4,X3,X2,X1,X5),X5),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2379]) ).

cnf(c_0_2379_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk84_5(X4,X3,X2,X1,X5),X5),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2379]) ).

cnf(c_0_2379_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk84_5(X4,X3,X2,X1,X5),X5),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2379]) ).

cnf(c_0_2379_4,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk84_5(X4,X3,X2,X1,X5),X5),X2)
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2379]) ).

cnf(c_0_2379_5,axiom,
    ( ~ c_member(X1,X5,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk84_5(X4,X3,X2,X1,X5),X5),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2379]) ).

cnf(c_0_2380_0,axiom,
    ( hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Recdef_Owfrec(X1,X2,X3,X4),X3,X5)),X5) = hAPP(c_Recdef_Owfrec(X1,X2,X3,X4),X5)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2380]) ).

cnf(c_0_2380_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Recdef_Owfrec(X1,X2,X3,X4),X3,X5)),X5) = hAPP(c_Recdef_Owfrec(X1,X2,X3,X4),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2380]) ).

cnf(c_0_2381_0,axiom,
    ( hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Recdef_Owfrec(X1,X2,X3,X4),X3,X5)),X5) = hAPP(c_Recdef_Owfrec(X1,X2,X3,X4),X5)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2381]) ).

cnf(c_0_2381_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Recdef_Owfrec(X1,X2,X3,X4),X3,X5)),X5) = hAPP(c_Recdef_Owfrec(X1,X2,X3,X4),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2381]) ).

cnf(c_0_2383_0,axiom,
    ( hBOOL(hAPP(X5,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk48_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2383]) ).

cnf(c_0_2383_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk48_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2383]) ).

cnf(c_0_2383_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk48_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2383]) ).

cnf(c_0_2383_3,axiom,
    ( ~ hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk48_5(X5,X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2383]) ).

cnf(c_0_2384_0,axiom,
    ( hBOOL(hAPP(X5,X2))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk47_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2384]) ).

cnf(c_0_2384_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk47_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2384]) ).

cnf(c_0_2384_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk47_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2384]) ).

cnf(c_0_2384_3,axiom,
    ( ~ hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk47_5(X5,X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2384]) ).

cnf(c_0_2385_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_2385]) ).

cnf(c_0_2385_1,axiom,
    ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_2385]) ).

cnf(c_0_2385_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_2385]) ).

cnf(c_0_2386_0,axiom,
    ( c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,sk1_esk88_5(X5,X4,X3,X2,X1),X2),X4)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2386]) ).

cnf(c_0_2386_1,axiom,
    ( ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,sk1_esk88_5(X5,X4,X3,X2,X1),X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2386]) ).

cnf(c_0_2387_0,axiom,
    ( c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,sk1_esk83_5(X5,X4,X3,X2,X1),X2),X4)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2387]) ).

cnf(c_0_2387_1,axiom,
    ( ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,sk1_esk83_5(X5,X4,X3,X2,X1),X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2387]) ).

cnf(c_0_2390_0,axiom,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | hAPP(hAPP(X3,X6),X7) != X4
    | X5 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2390]) ).

cnf(c_0_2390_1,axiom,
    ( hAPP(hAPP(X3,X6),X7) != X4
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))
    | X5 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2390]) ).

cnf(c_0_2390_2,axiom,
    ( X5 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | hAPP(hAPP(X3,X6),X7) != X4
    | c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2390]) ).

cnf(c_0_2391_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | sk1_esk70_5(X5,X4,X3,X2,X1) != sk1_esk69_5(X5,X4,X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2391]) ).

cnf(c_0_2391_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | sk1_esk70_5(X5,X4,X3,X2,X1) != sk1_esk69_5(X5,X4,X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2391]) ).

cnf(c_0_2391_2,axiom,
    ( sk1_esk70_5(X5,X4,X3,X2,X1) != sk1_esk69_5(X5,X4,X3,X2,X1)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2391]) ).

cnf(c_0_2392_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | sk1_esk67_5(X5,X4,X3,X2,X1) != sk1_esk68_5(X5,X4,X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2392]) ).

cnf(c_0_2392_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | sk1_esk67_5(X5,X4,X3,X2,X1) != sk1_esk68_5(X5,X4,X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2392]) ).

cnf(c_0_2392_2,axiom,
    ( sk1_esk67_5(X5,X4,X3,X2,X1) != sk1_esk68_5(X5,X4,X3,X2,X1)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2392]) ).

cnf(c_0_2395_0,axiom,
    ( hBOOL(hAPP(X5,X3))
    | hBOOL(hAPP(X5,sk1_esk48_5(X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2395]) ).

cnf(c_0_2395_1,axiom,
    ( hBOOL(hAPP(X5,sk1_esk48_5(X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2395]) ).

cnf(c_0_2395_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,sk1_esk48_5(X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(X5,X3))
    | ~ hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2395]) ).

cnf(c_0_2395_3,axiom,
    ( ~ hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,sk1_esk48_5(X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2395]) ).

cnf(c_0_2396_0,axiom,
    ( hBOOL(hAPP(X5,X2))
    | hBOOL(hAPP(X5,sk1_esk47_5(X5,X4,X3,X2,X1)))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2396]) ).

cnf(c_0_2396_1,axiom,
    ( hBOOL(hAPP(X5,sk1_esk47_5(X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(X5,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2396]) ).

cnf(c_0_2396_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,sk1_esk47_5(X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(X5,X2))
    | ~ hBOOL(hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2396]) ).

cnf(c_0_2396_3,axiom,
    ( ~ hBOOL(hAPP(X5,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | hBOOL(hAPP(X5,sk1_esk47_5(X5,X4,X3,X2,X1)))
    | hBOOL(hAPP(X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2396]) ).

cnf(c_0_2397_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | X3 = X5
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_2397]) ).

cnf(c_0_2397_1,axiom,
    ( X3 = X5
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_2397]) ).

cnf(c_0_2397_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | X3 = X5
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_2397]) ).

cnf(c_0_2398_0,axiom,
    ( c_Relation_Orel__comp(X1,X1,X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2398]) ).

cnf(c_0_2398_1,axiom,
    ( c_Relation_Orel__comp(X1,X1,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2398]) ).

cnf(c_0_2398_2,axiom,
    ( c_Relation_Orel__comp(X1,X1,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Relation_Orel__comp(X1,X1,X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2398]) ).

cnf(c_0_2399_0,axiom,
    ( hAPP(hAPP(X3,c_Recdef_Ocut(X4,X5,X1,X6,X2)),X2) = hAPP(X1,X2)
    | ~ c_Wellfounded_Owf(X4,X6)
    | X1 != c_Recdef_Owfrec(X4,X5,X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2399]) ).

cnf(c_0_2399_1,axiom,
    ( ~ c_Wellfounded_Owf(X4,X6)
    | hAPP(hAPP(X3,c_Recdef_Ocut(X4,X5,X1,X6,X2)),X2) = hAPP(X1,X2)
    | X1 != c_Recdef_Owfrec(X4,X5,X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2399]) ).

cnf(c_0_2399_2,axiom,
    ( X1 != c_Recdef_Owfrec(X4,X5,X6,X3)
    | ~ c_Wellfounded_Owf(X4,X6)
    | hAPP(hAPP(X3,c_Recdef_Ocut(X4,X5,X1,X6,X2)),X2) = hAPP(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2399]) ).

cnf(c_0_2400_0,axiom,
    ( c_FunDef_Oreduction__pair(X1,c_Product__Type_OPair(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_Orel__comp(X1,X1,X1,X2,X3),X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2400]) ).

cnf(c_0_2400_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_Orel__comp(X1,X1,X1,X2,X3),X2)
    | c_FunDef_Oreduction__pair(X1,c_Product__Type_OPair(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2400]) ).

cnf(c_0_2400_2,axiom,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_Orel__comp(X1,X1,X1,X2,X3),X2)
    | c_FunDef_Oreduction__pair(X1,c_Product__Type_OPair(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2400]) ).

cnf(c_0_2401_0,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Relation_Orel__comp(X1,X5,X2,X6,X7))
    | ~ c_member(tc_prod(X5,X2),c_Product__Type_OPair(X5,X2,X8,X4),X7)
    | ~ c_member(tc_prod(X1,X5),c_Product__Type_OPair(X1,X5,X3,X8),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2401]) ).

cnf(c_0_2401_1,axiom,
    ( ~ c_member(tc_prod(X5,X2),c_Product__Type_OPair(X5,X2,X8,X4),X7)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Relation_Orel__comp(X1,X5,X2,X6,X7))
    | ~ c_member(tc_prod(X1,X5),c_Product__Type_OPair(X1,X5,X3,X8),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2401]) ).

cnf(c_0_2401_2,axiom,
    ( ~ c_member(tc_prod(X1,X5),c_Product__Type_OPair(X1,X5,X3,X8),X6)
    | ~ c_member(tc_prod(X5,X2),c_Product__Type_OPair(X5,X2,X8,X4),X7)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Relation_Orel__comp(X1,X5,X2,X6,X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2401]) ).

cnf(c_0_2402_0,axiom,
    ( hAPP(X1,X2) = hAPP(X3,X2)
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X5),X6)
    | c_Recdef_Ocut(X4,X7,X1,X6,X5) != c_Recdef_Ocut(X4,X7,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2402]) ).

cnf(c_0_2402_1,axiom,
    ( ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X5),X6)
    | hAPP(X1,X2) = hAPP(X3,X2)
    | c_Recdef_Ocut(X4,X7,X1,X6,X5) != c_Recdef_Ocut(X4,X7,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2402]) ).

cnf(c_0_2402_2,axiom,
    ( c_Recdef_Ocut(X4,X7,X1,X6,X5) != c_Recdef_Ocut(X4,X7,X3,X6,X5)
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X5),X6)
    | hAPP(X1,X2) = hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2402]) ).

cnf(c_0_2403_0,axiom,
    ( c_member(X1,sk1_esk84_5(X4,X3,X2,X1,X5),X4)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2403]) ).

cnf(c_0_2403_1,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(X1,sk1_esk84_5(X4,X3,X2,X1,X5),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2403]) ).

cnf(c_0_2403_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(X1,sk1_esk84_5(X4,X3,X2,X1,X5),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2403]) ).

cnf(c_0_2403_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(X1,sk1_esk84_5(X4,X3,X2,X1,X5),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2403]) ).

cnf(c_0_2403_4,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(X1,sk1_esk84_5(X4,X3,X2,X1,X5),X4)
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2403]) ).

cnf(c_0_2403_5,axiom,
    ( ~ c_member(X1,X5,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(X1,sk1_esk84_5(X4,X3,X2,X1,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2403]) ).

cnf(c_0_2404_0,axiom,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__weak)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__weak)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2404]) ).

cnf(c_0_2404_1,axiom,
    ( ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__weak)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__weak)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2404]) ).

cnf(c_0_2404_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__weak)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__weak)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2404]) ).

cnf(c_0_2404_3,axiom,
    ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__weak)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__weak) ),
    inference(literals_permutation,[status(thm)],[c_0_2404]) ).

cnf(c_0_2405_0,axiom,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__weak)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__weak)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2405]) ).

cnf(c_0_2405_1,axiom,
    ( ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__weak)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__weak)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2405]) ).

cnf(c_0_2405_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__weak)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__weak)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2405]) ).

cnf(c_0_2405_3,axiom,
    ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__leq)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__weak)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__weak) ),
    inference(literals_permutation,[status(thm)],[c_0_2405]) ).

cnf(c_0_2406_0,axiom,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__strict)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__strict)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2406]) ).

cnf(c_0_2406_1,axiom,
    ( ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__strict)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__strict)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2406]) ).

cnf(c_0_2406_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__strict)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__strict)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2406]) ).

cnf(c_0_2406_3,axiom,
    ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X1)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X2),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,X3),c_FunDef_Omin__strict)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X2,X3)),c_FunDef_Omin__strict) ),
    inference(literals_permutation,[status(thm)],[c_0_2406]) ).

cnf(c_0_2407_0,axiom,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__strict)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__strict)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2407]) ).

cnf(c_0_2407_1,axiom,
    ( ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__strict)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__strict)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2407]) ).

cnf(c_0_2407_2,axiom,
    ( ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__strict)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__strict)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2407]) ).

cnf(c_0_2407_3,axiom,
    ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X4,X3)
    | ~ c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X4),c_FunDef_Opair__less)
    | ~ c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X2,X3),c_FunDef_Omax__strict)
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),X1,X2),X3),c_FunDef_Omax__strict) ),
    inference(literals_permutation,[status(thm)],[c_0_2407]) ).

cnf(c_0_2408_0,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X3,X5)),c_Recdef_Osame__fst(X1,X2,X6,X7))
    | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X5),hAPP(X7,X3))
    | ~ hBOOL(hAPP(X6,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2408]) ).

cnf(c_0_2408_1,axiom,
    ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X5),hAPP(X7,X3))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X3,X5)),c_Recdef_Osame__fst(X1,X2,X6,X7))
    | ~ hBOOL(hAPP(X6,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2408]) ).

cnf(c_0_2408_2,axiom,
    ( ~ hBOOL(hAPP(X6,X3))
    | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X5),hAPP(X7,X3))
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X3,X5)),c_Recdef_Osame__fst(X1,X2,X6,X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_2408]) ).

cnf(c_0_2409_0,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | X3 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2409]) ).

cnf(c_0_2409_1,axiom,
    ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | X3 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2409]) ).

cnf(c_0_2409_2,axiom,
    ( X3 != X5
    | ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X6),X8)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_2409]) ).

cnf(c_0_2410_0,axiom,
    ( c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_2410]) ).

cnf(c_0_2410_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7)
    | c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_2410]) ).

cnf(c_0_2411_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk85_4(X4,X3,X2,X1)),X2)
    | ~ c_member(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2411]) ).

cnf(c_0_2411_1,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk85_4(X4,X3,X2,X1)),X2)
    | ~ c_member(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2411]) ).

cnf(c_0_2411_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk85_4(X4,X3,X2,X1)),X2)
    | ~ c_member(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2411]) ).

cnf(c_0_2411_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk85_4(X4,X3,X2,X1)),X2)
    | ~ c_member(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2411]) ).

cnf(c_0_2411_4,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk85_4(X4,X3,X2,X1)),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_member(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2411]) ).

cnf(c_0_2411_5,axiom,
    ( ~ c_member(X1,X5,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk85_4(X4,X3,X2,X1)),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2411]) ).

cnf(c_0_2412_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(literals_permutation,[status(thm)],[c_0_2412]) ).

cnf(c_0_2412_1,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(literals_permutation,[status(thm)],[c_0_2412]) ).

cnf(c_0_2412_2,axiom,
    ( ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(literals_permutation,[status(thm)],[c_0_2412]) ).

cnf(c_0_2412_3,axiom,
    ( ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(literals_permutation,[status(thm)],[c_0_2412]) ).

cnf(c_0_2412_4,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2412]) ).

cnf(c_0_2413_0,axiom,
    ( c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)),c_Wellfounded_Omax__ext(X1,X6))
    | ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3,X5),c_Wellfounded_Omax__ext(X1,X6))
    | ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X2,X4),c_Wellfounded_Omax__ext(X1,X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2413]) ).

cnf(c_0_2413_1,axiom,
    ( ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3,X5),c_Wellfounded_Omax__ext(X1,X6))
    | c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)),c_Wellfounded_Omax__ext(X1,X6))
    | ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X2,X4),c_Wellfounded_Omax__ext(X1,X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2413]) ).

cnf(c_0_2413_2,axiom,
    ( ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X2,X4),c_Wellfounded_Omax__ext(X1,X6))
    | ~ c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),X3,X5),c_Wellfounded_Omax__ext(X1,X6))
    | c_member(tc_prod(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)),c_Wellfounded_Omax__ext(X1,X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2413]) ).

cnf(c_0_2414_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(X1,X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_Equiv__Relations_Oequiv(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2414]) ).

cnf(c_0_2414_1,axiom,
    ( ~ c_member(X1,X3,X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_Equiv__Relations_Oequiv(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2414]) ).

cnf(c_0_2414_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(X1,X3,X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Equiv__Relations_Oequiv(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2414]) ).

cnf(c_0_2414_3,axiom,
    ( ~ c_Equiv__Relations_Oequiv(X1,X5,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(X1,X3,X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2414]) ).

cnf(c_0_2415_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,sk1_esk63_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,sk1_esk64_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2415]) ).

cnf(c_0_2415_1,axiom,
    ( ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,sk1_esk63_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,sk1_esk64_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2415]) ).

cnf(c_0_2415_2,axiom,
    ( ~ hBOOL(hAPP(X1,sk1_esk63_4(X1,X5,X4,X3)))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,sk1_esk64_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2415]) ).

cnf(c_0_2415_3,axiom,
    ( ~ hBOOL(hAPP(X1,sk1_esk64_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,sk1_esk63_4(X1,X5,X4,X3)))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2415]) ).

cnf(c_0_2416_0,axiom,
    ( c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,sk1_esk54_4(X2,X1,X4,X3),sk1_esk54_4(X2,X1,X4,X3)),c_Transitive__Closure_Otrancl(X3,X4))
    | X1 != X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2416]) ).

cnf(c_0_2416_1,axiom,
    ( X1 != X2
    | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,sk1_esk54_4(X2,X1,X4,X3),sk1_esk54_4(X2,X1,X4,X3)),c_Transitive__Closure_Otrancl(X3,X4))
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2416]) ).

cnf(c_0_2416_2,axiom,
    ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | X1 != X2
    | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,sk1_esk54_4(X2,X1,X4,X3),sk1_esk54_4(X2,X1,X4,X3)),c_Transitive__Closure_Otrancl(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2416]) ).

cnf(c_0_2417_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,sk1_esk80_4(X4,X3,X2,X1)),hAPP(X4,sk1_esk80_4(X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2417]) ).

cnf(c_0_2417_1,axiom,
    ( ~ class_Orderings_Oord(X1)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,sk1_esk80_4(X4,X3,X2,X1)),hAPP(X4,sk1_esk80_4(X4,X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2417]) ).

cnf(c_0_2417_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,sk1_esk80_4(X4,X3,X2,X1)),hAPP(X4,sk1_esk80_4(X4,X3,X2,X1)))
    | ~ class_Orderings_Oord(X1)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2417]) ).

cnf(c_0_2418_0,axiom,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X3,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2418]) ).

cnf(c_0_2418_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4)
    | hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2418]) ).

cnf(c_0_2419_0,axiom,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X3,X6)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2419]) ).

cnf(c_0_2419_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4)
    | hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2419]) ).

cnf(c_0_2420_0,axiom,
    ( c_member(X3,sk1_esk88_5(X5,X4,X3,X2,X1),X5)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2420]) ).

cnf(c_0_2420_1,axiom,
    ( ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | c_member(X3,sk1_esk88_5(X5,X4,X3,X2,X1),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2420]) ).

cnf(c_0_2421_0,axiom,
    ( c_member(X3,sk1_esk83_5(X5,X4,X3,X2,X1),X5)
    | ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2421]) ).

cnf(c_0_2421_1,axiom,
    ( ~ c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | c_member(X3,sk1_esk83_5(X5,X4,X3,X2,X1),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2421]) ).

cnf(c_0_2422_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2422]) ).

cnf(c_0_2422_1,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2422]) ).

cnf(c_0_2422_2,axiom,
    ( ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2422]) ).

cnf(c_0_2422_3,axiom,
    ( ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2422]) ).

cnf(c_0_2422_4,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(literals_permutation,[status(thm)],[c_0_2422]) ).

cnf(c_0_2423_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Relation_Osingle__valued(X1,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2423]) ).

cnf(c_0_2423_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Relation_Osingle__valued(X1,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2423]) ).

cnf(c_0_2423_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Relation_Osingle__valued(X1,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2423]) ).

cnf(c_0_2423_3,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Relation_Osingle__valued(X1,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2423]) ).

cnf(c_0_2423_4,axiom,
    ( ~ c_Relation_Osingle__valued(X1,X1,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2423]) ).

cnf(c_0_2424_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk56_4(X4,X3,X2,X1)),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2424]) ).

cnf(c_0_2424_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk56_4(X4,X3,X2,X1)),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2424]) ).

cnf(c_0_2424_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk56_4(X4,X3,X2,X1)),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2424]) ).

cnf(c_0_2425_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk55_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2425]) ).

cnf(c_0_2425_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk55_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2425]) ).

cnf(c_0_2425_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk55_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2425]) ).

cnf(c_0_2426_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk56_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2426]) ).

cnf(c_0_2426_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk56_4(X4,X3,X2,X1),X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2426]) ).

cnf(c_0_2426_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk56_4(X4,X3,X2,X1),X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2426]) ).

cnf(c_0_2427_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk55_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2427]) ).

cnf(c_0_2427_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk55_4(X4,X3,X2,X1)),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2427]) ).

cnf(c_0_2427_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk55_4(X4,X3,X2,X1)),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2427]) ).

cnf(c_0_2428_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Product__Type_OPair(X3,X4,sk1_esk7_3(X4,X3,X1),sk1_esk8_3(X4,X3,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2428]) ).

cnf(c_0_2428_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Product__Type_OPair(X3,X4,sk1_esk7_3(X4,X3,X1),sk1_esk8_3(X4,X3,X1))))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2428]) ).

cnf(c_0_2431_0,axiom,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2431]) ).

cnf(c_0_2431_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4)
    | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2431]) ).

cnf(c_0_2431_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4)
    | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq) ),
    inference(literals_permutation,[status(thm)],[c_0_2431]) ).

cnf(c_0_2432_0,axiom,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2432]) ).

cnf(c_0_2432_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4)
    | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2432]) ).

cnf(c_0_2432_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4)
    | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less) ),
    inference(literals_permutation,[status(thm)],[c_0_2432]) ).

cnf(c_0_2433_0,axiom,
    ( ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2433]) ).

cnf(c_0_2433_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2433]) ).

cnf(c_0_2434_0,axiom,
    ( ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2434]) ).

cnf(c_0_2434_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2434]) ).

cnf(c_0_2435_0,axiom,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2435]) ).

cnf(c_0_2435_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__leq) ),
    inference(literals_permutation,[status(thm)],[c_0_2435]) ).

cnf(c_0_2436_0,axiom,
    ( c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2436]) ).

cnf(c_0_2436_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X3,X4)),c_FunDef_Opair__less) ),
    inference(literals_permutation,[status(thm)],[c_0_2436]) ).

cnf(c_0_2438_0,axiom,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk45_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2438]) ).

cnf(c_0_2438_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk45_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2438]) ).

cnf(c_0_2438_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk45_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2438]) ).

cnf(c_0_2439_0,axiom,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk44_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2439]) ).

cnf(c_0_2439_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk44_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2439]) ).

cnf(c_0_2439_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk44_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2439]) ).

cnf(c_0_2440_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk52_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2440]) ).

cnf(c_0_2440_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk52_4(X4,X3,X2,X1),X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2440]) ).

cnf(c_0_2441_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk51_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2441]) ).

cnf(c_0_2441_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk51_4(X4,X3,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2441]) ).

cnf(c_0_2442_0,axiom,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk45_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2442]) ).

cnf(c_0_2442_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk45_4(X4,X3,X2,X1)),X4)
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2442]) ).

cnf(c_0_2442_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk45_4(X4,X3,X2,X1)),X4)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2442]) ).

cnf(c_0_2443_0,axiom,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk44_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2443]) ).

cnf(c_0_2443_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk44_4(X4,X3,X2,X1),X3),X4)
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2443]) ).

cnf(c_0_2443_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk44_4(X4,X3,X2,X1),X3),X4)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2443]) ).

cnf(c_0_2444_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk52_4(X4,X3,X2,X1)),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2444]) ).

cnf(c_0_2444_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,sk1_esk52_4(X4,X3,X2,X1)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2444]) ).

cnf(c_0_2445_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk51_4(X4,X3,X2,X1),X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2445]) ).

cnf(c_0_2445_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk51_4(X4,X3,X2,X1),X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2445]) ).

cnf(c_0_2446_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk63_4(X1,X5,X4,X3),X4)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,sk1_esk64_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2446]) ).

cnf(c_0_2446_1,axiom,
    ( c_member(X3,sk1_esk63_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,sk1_esk64_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2446]) ).

cnf(c_0_2446_2,axiom,
    ( ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | c_member(X3,sk1_esk63_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,sk1_esk64_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2446]) ).

cnf(c_0_2446_3,axiom,
    ( ~ hBOOL(hAPP(X1,sk1_esk64_4(X1,X5,X4,X3)))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | c_member(X3,sk1_esk63_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2446]) ).

cnf(c_0_2447_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk64_4(X1,X5,X4,X3),X5)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,sk1_esk63_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2447]) ).

cnf(c_0_2447_1,axiom,
    ( c_member(X3,sk1_esk64_4(X1,X5,X4,X3),X5)
    | hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,sk1_esk63_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2447]) ).

cnf(c_0_2447_2,axiom,
    ( ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | c_member(X3,sk1_esk64_4(X1,X5,X4,X3),X5)
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,sk1_esk63_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2447]) ).

cnf(c_0_2447_3,axiom,
    ( ~ hBOOL(hAPP(X1,sk1_esk63_4(X1,X5,X4,X3)))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | c_member(X3,sk1_esk64_4(X1,X5,X4,X3),X5)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2447]) ).

cnf(c_0_2448_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2448]) ).

cnf(c_0_2448_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2448]) ).

cnf(c_0_2448_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2448]) ).

cnf(c_0_2449_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2449]) ).

cnf(c_0_2449_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2449]) ).

cnf(c_0_2449_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2449]) ).

cnf(c_0_2450_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2450]) ).

cnf(c_0_2450_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2450]) ).

cnf(c_0_2450_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2450]) ).

cnf(c_0_2451_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2451]) ).

cnf(c_0_2451_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2451]) ).

cnf(c_0_2451_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2451]) ).

cnf(c_0_2452_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2452]) ).

cnf(c_0_2452_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2452]) ).

cnf(c_0_2452_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2452]) ).

cnf(c_0_2453_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2453]) ).

cnf(c_0_2453_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2453]) ).

cnf(c_0_2453_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2453]) ).

cnf(c_0_2454_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2454]) ).

cnf(c_0_2454_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2454]) ).

cnf(c_0_2454_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2454]) ).

cnf(c_0_2455_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2455]) ).

cnf(c_0_2455_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2455]) ).

cnf(c_0_2455_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2455]) ).

cnf(c_0_2456_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2456]) ).

cnf(c_0_2456_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2456]) ).

cnf(c_0_2456_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2456]) ).

cnf(c_0_2457_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2457]) ).

cnf(c_0_2457_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2457]) ).

cnf(c_0_2457_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2457]) ).

cnf(c_0_2458_0,axiom,
    ( hBOOL(hAPP(X1,sk1_esk59_4(X1,X5,X4,X3)))
    | hBOOL(hAPP(X1,sk1_esk60_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2458]) ).

cnf(c_0_2458_1,axiom,
    ( hBOOL(hAPP(X1,sk1_esk60_4(X1,X5,X4,X3)))
    | hBOOL(hAPP(X1,sk1_esk59_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2458]) ).

cnf(c_0_2458_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,sk1_esk60_4(X1,X5,X4,X3)))
    | hBOOL(hAPP(X1,sk1_esk59_4(X1,X5,X4,X3)))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2458]) ).

cnf(c_0_2458_3,axiom,
    ( ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,sk1_esk60_4(X1,X5,X4,X3)))
    | hBOOL(hAPP(X1,sk1_esk59_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2458]) ).

cnf(c_0_2459_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2459]) ).

cnf(c_0_2459_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2459]) ).

cnf(c_0_2459_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2459]) ).

cnf(c_0_2460_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2460]) ).

cnf(c_0_2460_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2460]) ).

cnf(c_0_2460_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2460]) ).

cnf(c_0_2460_3,axiom,
    ( ~ c_Relation_Otrans(X1,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2460]) ).

cnf(c_0_2461_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2461]) ).

cnf(c_0_2461_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2461]) ).

cnf(c_0_2461_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Relation_Otrans(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2461]) ).

cnf(c_0_2461_3,axiom,
    ( ~ c_Relation_Otrans(X1,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2461]) ).

cnf(c_0_2462_0,axiom,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))
    | ~ c_Wellfounded_Owf(X2,hAPP(X4,sk1_esk76_4(X1,X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2462]) ).

cnf(c_0_2462_1,axiom,
    ( ~ c_Wellfounded_Owf(X2,hAPP(X4,sk1_esk76_4(X1,X4,X2,X3)))
    | c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2462]) ).

cnf(c_0_2463_0,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)
    | ~ c_member(X2,X4,c_Relation_OImage(X1,X2,X5,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(literals_permutation,[status(thm)],[c_0_2463]) ).

cnf(c_0_2463_1,axiom,
    ( ~ c_member(X2,X4,c_Relation_OImage(X1,X2,X5,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2463]) ).

cnf(c_0_2464_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | c_member(X1,sk1_esk85_4(X4,X3,X2,X1),X3)
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2464]) ).

cnf(c_0_2464_1,axiom,
    ( c_member(X1,sk1_esk85_4(X4,X3,X2,X1),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2464]) ).

cnf(c_0_2464_2,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(X1,sk1_esk85_4(X4,X3,X2,X1),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2464]) ).

cnf(c_0_2464_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(X1,sk1_esk85_4(X4,X3,X2,X1),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2464]) ).

cnf(c_0_2464_4,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Relation_OField(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opreorder__on(X1,c_Relation_OField(X1,X2),X2)
    | c_member(X1,sk1_esk85_4(X4,X3,X2,X1),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2464]) ).

cnf(c_0_2465_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,hAPP(X2,X3),hAPP(X2,X4)),X5)
    | ~ c_member(tc_prod(X6,X6),c_Product__Type_OPair(X6,X6,X3,X4),hAPP(c_Relation_Oinv__image(X1,X6,X5),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2465]) ).

cnf(c_0_2465_1,axiom,
    ( ~ c_member(tc_prod(X6,X6),c_Product__Type_OPair(X6,X6,X3,X4),hAPP(c_Relation_Oinv__image(X1,X6,X5),X2))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,hAPP(X2,X3),hAPP(X2,X4)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2465]) ).

cnf(c_0_2466_0,axiom,
    ( X2 = X3
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2466]) ).

cnf(c_0_2466_1,axiom,
    ( ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin)
    | X2 = X3
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2466]) ).

cnf(c_0_2466_2,axiom,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin)
    | X2 = X3
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2466]) ).

cnf(c_0_2466_3,axiom,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2466]) ).

cnf(c_0_2467_0,axiom,
    ( c_member(X3,sk1_esk59_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,sk1_esk60_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2467]) ).

cnf(c_0_2467_1,axiom,
    ( hBOOL(hAPP(X1,sk1_esk60_4(X1,X5,X4,X3)))
    | c_member(X3,sk1_esk59_4(X1,X5,X4,X3),X4)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2467]) ).

cnf(c_0_2467_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,sk1_esk60_4(X1,X5,X4,X3)))
    | c_member(X3,sk1_esk59_4(X1,X5,X4,X3),X4)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2467]) ).

cnf(c_0_2467_3,axiom,
    ( ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,sk1_esk60_4(X1,X5,X4,X3)))
    | c_member(X3,sk1_esk59_4(X1,X5,X4,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2467]) ).

cnf(c_0_2468_0,axiom,
    ( hBOOL(hAPP(X1,sk1_esk59_4(X1,X5,X4,X3)))
    | c_member(X3,sk1_esk60_4(X1,X5,X4,X3),X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2468]) ).

cnf(c_0_2468_1,axiom,
    ( c_member(X3,sk1_esk60_4(X1,X5,X4,X3),X5)
    | hBOOL(hAPP(X1,sk1_esk59_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2468]) ).

cnf(c_0_2468_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk60_4(X1,X5,X4,X3),X5)
    | hBOOL(hAPP(X1,sk1_esk59_4(X1,X5,X4,X3)))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2468]) ).

cnf(c_0_2468_3,axiom,
    ( ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk60_4(X1,X5,X4,X3),X5)
    | hBOOL(hAPP(X1,sk1_esk59_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2468]) ).

cnf(c_0_2469_0,axiom,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2469]) ).

cnf(c_0_2469_1,axiom,
    ( ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | X1 = X2
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2469]) ).

cnf(c_0_2469_2,axiom,
    ( ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | X1 = X2
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2469]) ).

cnf(c_0_2469_3,axiom,
    ( ~ c_Relation_Osingle__valued(X3,X4,X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2469]) ).

cnf(c_0_2470_0,axiom,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2470]) ).

cnf(c_0_2470_1,axiom,
    ( ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | X1 = X2
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2470]) ).

cnf(c_0_2470_2,axiom,
    ( ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | X1 = X2
    | ~ c_Relation_Osingle__valued(X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2470]) ).

cnf(c_0_2470_3,axiom,
    ( ~ c_Relation_Osingle__valued(X3,X4,X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X1),X6)
    | ~ c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X5,X2),X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2470]) ).

cnf(c_0_2471_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),hAPP(c_Relation_Oinv__image(X4,X1,X5),X6))
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,hAPP(X6,X2),hAPP(X6,X3)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2471]) ).

cnf(c_0_2471_1,axiom,
    ( ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,hAPP(X6,X2),hAPP(X6,X3)),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),hAPP(c_Relation_Oinv__image(X4,X1,X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2471]) ).

cnf(c_0_2472_0,axiom,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,c_Set_Oinsert(X3,X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2472]) ).

cnf(c_0_2472_1,axiom,
    ( ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4)
    | c_member(X1,X2,c_Relation_OImage(X3,X1,X4,c_Set_Oinsert(X3,X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))) ),
    inference(literals_permutation,[status(thm)],[c_0_2472]) ).

cnf(c_0_2473_0,axiom,
    ( X3 = X4
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2473]) ).

cnf(c_0_2473_1,axiom,
    ( ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2473]) ).

cnf(c_0_2473_2,axiom,
    ( ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2473]) ).

cnf(c_0_2473_3,axiom,
    ( ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2473]) ).

cnf(c_0_2473_4,axiom,
    ( ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2473]) ).

cnf(c_0_2473_5,axiom,
    ( c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2473]) ).

cnf(c_0_2474_0,axiom,
    ( c_Wellfounded_Owf(X1,X4)
    | ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2474]) ).

cnf(c_0_2474_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | c_Wellfounded_Owf(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2474]) ).

cnf(c_0_2475_0,axiom,
    ( c_Wellfounded_Oacyclic(X1,X4)
    | ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2475]) ).

cnf(c_0_2475_1,axiom,
    ( ~ c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | c_Wellfounded_Oacyclic(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2475]) ).

cnf(c_0_2476_0,axiom,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Oantisym(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2476]) ).

cnf(c_0_2476_1,axiom,
    ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Oantisym(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2476]) ).

cnf(c_0_2476_2,axiom,
    ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | X1 = X2
    | ~ c_Relation_Oantisym(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2476]) ).

cnf(c_0_2476_3,axiom,
    ( ~ c_Relation_Oantisym(X3,X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2476]) ).

cnf(c_0_2477_0,axiom,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Oantisym(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2477]) ).

cnf(c_0_2477_1,axiom,
    ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_Relation_Oantisym(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2477]) ).

cnf(c_0_2477_2,axiom,
    ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | X1 = X2
    | ~ c_Relation_Oantisym(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2477]) ).

cnf(c_0_2477_3,axiom,
    ( ~ c_Relation_Oantisym(X3,X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2477]) ).

cnf(c_0_2478_0,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2478]) ).

cnf(c_0_2478_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2478]) ).

cnf(c_0_2478_2,axiom,
    ( ~ c_Wellfounded_Owf(X1,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2478]) ).

cnf(c_0_2479_0,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2479]) ).

cnf(c_0_2479_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2479]) ).

cnf(c_0_2479_2,axiom,
    ( ~ c_Wellfounded_Owf(X1,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2479]) ).

cnf(c_0_2480_0,axiom,
    ( X3 = X4
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2480]) ).

cnf(c_0_2480_1,axiom,
    ( ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2480]) ).

cnf(c_0_2480_2,axiom,
    ( ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2480]) ).

cnf(c_0_2480_3,axiom,
    ( ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2480]) ).

cnf(c_0_2480_4,axiom,
    ( c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | X3 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2480]) ).

cnf(c_0_2481_0,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,sk1_esk19_4(X4,X2,X3,X1)),X4)
    | ~ c_member(X1,X3,c_Relation_ODomain(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2481]) ).

cnf(c_0_2481_1,axiom,
    ( ~ c_member(X1,X3,c_Relation_ODomain(X1,X2,X4))
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,sk1_esk19_4(X4,X2,X3,X1)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2481]) ).

cnf(c_0_2482_0,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk18_4(X3,X1,X4,X2),X4),X3)
    | ~ c_member(X2,X4,c_Relation_ORange(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2482]) ).

cnf(c_0_2482_1,axiom,
    ( ~ c_member(X2,X4,c_Relation_ORange(X1,X2,X3))
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk18_4(X3,X1,X4,X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2482]) ).

cnf(c_0_2483_0,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk16_4(X3,X1,X4,X2),X4),X3)
    | ~ c_member(X2,X4,c_Relation_ORange(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2483]) ).

cnf(c_0_2483_1,axiom,
    ( ~ c_member(X2,X4,c_Relation_ORange(X1,X2,X3))
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk16_4(X3,X1,X4,X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2483]) ).

cnf(c_0_2484_0,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,sk1_esk15_4(X4,X2,X3,X1)),X4)
    | ~ c_member(X1,X3,c_Relation_ODomain(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2484]) ).

cnf(c_0_2484_1,axiom,
    ( ~ c_member(X1,X3,c_Relation_ODomain(X1,X2,X4))
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,sk1_esk15_4(X4,X2,X3,X1)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2484]) ).

cnf(c_0_2486_0,axiom,
    ( c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2486]) ).

cnf(c_0_2486_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | ~ c_Wellfounded_Owf(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2486]) ).

cnf(c_0_2486_2,axiom,
    ( ~ c_Wellfounded_Owf(X1,X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2486]) ).

cnf(c_0_2487_0,axiom,
    ( c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_Wellfounded_Oacyclic(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2487]) ).

cnf(c_0_2487_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))
    | ~ c_Wellfounded_Oacyclic(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2487]) ).

cnf(c_0_2487_2,axiom,
    ( ~ c_Wellfounded_Oacyclic(X1,X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2487]) ).

cnf(c_0_2488_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2488]) ).

cnf(c_0_2488_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2488]) ).

cnf(c_0_2488_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X5)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2488]) ).

cnf(c_0_2491_0,axiom,
    ( hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(X1,sk1_esk62_4(X1,X2,X3,X4)))
    | ~ c_member(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2491]) ).

cnf(c_0_2491_1,axiom,
    ( ~ hBOOL(hAPP(X1,sk1_esk62_4(X1,X2,X3,X4)))
    | hBOOL(hAPP(X1,X5))
    | ~ c_member(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2491]) ).

cnf(c_0_2491_2,axiom,
    ( ~ c_member(X4,X5,X3)
    | ~ hBOOL(hAPP(X1,sk1_esk62_4(X1,X2,X3,X4)))
    | hBOOL(hAPP(X1,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2491]) ).

cnf(c_0_2492_0,axiom,
    ( hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(X1,sk1_esk62_4(X1,X2,X3,X4)))
    | ~ c_member(X4,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2492]) ).

cnf(c_0_2492_1,axiom,
    ( ~ hBOOL(hAPP(X1,sk1_esk62_4(X1,X2,X3,X4)))
    | hBOOL(hAPP(X1,X5))
    | ~ c_member(X4,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2492]) ).

cnf(c_0_2492_2,axiom,
    ( ~ c_member(X4,X5,X2)
    | ~ hBOOL(hAPP(X1,sk1_esk62_4(X1,X2,X3,X4)))
    | hBOOL(hAPP(X1,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2492]) ).

cnf(c_0_2493_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk13_3(X3,X2,X1),sk1_esk14_3(X3,X2,X1)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2493]) ).

cnf(c_0_2493_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk13_3(X3,X2,X1),sk1_esk14_3(X3,X2,X1)),X3)
    | c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2493]) ).

cnf(c_0_2494_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk14_3(X3,X2,X1),sk1_esk13_3(X3,X2,X1)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2494]) ).

cnf(c_0_2494_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk14_3(X3,X2,X1),sk1_esk13_3(X3,X2,X1)),X3)
    | c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2494]) ).

cnf(c_0_2496_0,axiom,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))
    | hBOOL(hAPP(X3,sk1_esk76_4(X1,X4,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2496]) ).

cnf(c_0_2496_1,axiom,
    ( hBOOL(hAPP(X3,sk1_esk76_4(X1,X4,X2,X3)))
    | c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2496]) ).

cnf(c_0_2497_0,axiom,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2497]) ).

cnf(c_0_2497_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2497]) ).

cnf(c_0_2497_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2497]) ).

cnf(c_0_2498_0,axiom,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2498]) ).

cnf(c_0_2498_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2498]) ).

cnf(c_0_2498_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2498]) ).

cnf(c_0_2499_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2499]) ).

cnf(c_0_2499_1,axiom,
    ( X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2499]) ).

cnf(c_0_2499_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | X2 = X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2499]) ).

cnf(c_0_2500_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2500]) ).

cnf(c_0_2500_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2500]) ).

cnf(c_0_2501_0,axiom,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | ~ c_member(X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2501]) ).

cnf(c_0_2501_1,axiom,
    ( ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | ~ c_member(X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2501]) ).

cnf(c_0_2501_2,axiom,
    ( ~ c_member(X3,X6,X5)
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2501]) ).

cnf(c_0_2502_0,axiom,
    ( c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | ~ c_member(X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2502]) ).

cnf(c_0_2502_1,axiom,
    ( ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))
    | ~ c_member(X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2502]) ).

cnf(c_0_2502_2,axiom,
    ( ~ c_member(X3,X6,X5)
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)
    | c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2502]) ).

cnf(c_0_2503_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2503]) ).

cnf(c_0_2503_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2503]) ).

cnf(c_0_2504_0,axiom,
    ( c_member(X3,sk1_esk59_4(X1,X5,X4,X3),X4)
    | c_member(X3,sk1_esk60_4(X1,X5,X4,X3),X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2504]) ).

cnf(c_0_2504_1,axiom,
    ( c_member(X3,sk1_esk60_4(X1,X5,X4,X3),X5)
    | c_member(X3,sk1_esk59_4(X1,X5,X4,X3),X4)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2504]) ).

cnf(c_0_2504_2,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk60_4(X1,X5,X4,X3),X5)
    | c_member(X3,sk1_esk59_4(X1,X5,X4,X3),X4)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2504]) ).

cnf(c_0_2504_3,axiom,
    ( ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk60_4(X1,X5,X4,X3),X5)
    | c_member(X3,sk1_esk59_4(X1,X5,X4,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2504]) ).

cnf(c_0_2506_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2506]) ).

cnf(c_0_2506_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2506]) ).

cnf(c_0_2506_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2506]) ).

cnf(c_0_2506_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2506]) ).

cnf(c_0_2507_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk63_4(X1,X5,X4,X3),X4)
    | c_member(X3,sk1_esk64_4(X1,X5,X4,X3),X5)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2507]) ).

cnf(c_0_2507_1,axiom,
    ( c_member(X3,sk1_esk63_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk64_4(X1,X5,X4,X3),X5)
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2507]) ).

cnf(c_0_2507_2,axiom,
    ( c_member(X3,sk1_esk64_4(X1,X5,X4,X3),X5)
    | c_member(X3,sk1_esk63_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2507]) ).

cnf(c_0_2507_3,axiom,
    ( ~ c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | c_member(X3,sk1_esk64_4(X1,X5,X4,X3),X5)
    | c_member(X3,sk1_esk63_4(X1,X5,X4,X3),X4)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2507]) ).

cnf(c_0_2508_0,axiom,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X3,X4)
    | ~ c_member(X1,X5,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk72_3(X2,X1,X4)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2508]) ).

cnf(c_0_2508_1,axiom,
    ( ~ c_member(X1,X3,X4)
    | ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X5,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk72_3(X2,X1,X4)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2508]) ).

cnf(c_0_2508_2,axiom,
    ( ~ c_member(X1,X5,X4)
    | ~ c_member(X1,X3,X4)
    | ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk72_3(X2,X1,X4)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2508]) ).

cnf(c_0_2508_3,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,sk1_esk72_3(X2,X1,X4)),X2)
    | ~ c_member(X1,X5,X4)
    | ~ c_member(X1,X3,X4)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2508]) ).

cnf(c_0_2509_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2509]) ).

cnf(c_0_2509_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2509]) ).

cnf(c_0_2509_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2509]) ).

cnf(c_0_2509_3,axiom,
    ( ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2509]) ).

cnf(c_0_2510_0,axiom,
    ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X3),X4),X5))
    | ~ c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X4,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2510]) ).

cnf(c_0_2510_1,axiom,
    ( ~ c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X4,X5),X3)
    | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X3),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2510]) ).

cnf(c_0_2511_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | X3 = X2
    | ~ c_member(X1,X2,X5)
    | ~ c_member(X1,X3,X5)
    | ~ c_Relation_Ototal__on(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2511]) ).

cnf(c_0_2511_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | X3 = X2
    | ~ c_member(X1,X2,X5)
    | ~ c_member(X1,X3,X5)
    | ~ c_Relation_Ototal__on(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2511]) ).

cnf(c_0_2511_2,axiom,
    ( X3 = X2
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(X1,X2,X5)
    | ~ c_member(X1,X3,X5)
    | ~ c_Relation_Ototal__on(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2511]) ).

cnf(c_0_2511_3,axiom,
    ( ~ c_member(X1,X2,X5)
    | X3 = X2
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(X1,X3,X5)
    | ~ c_Relation_Ototal__on(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2511]) ).

cnf(c_0_2511_4,axiom,
    ( ~ c_member(X1,X3,X5)
    | ~ c_member(X1,X2,X5)
    | X3 = X2
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_Relation_Ototal__on(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2511]) ).

cnf(c_0_2511_5,axiom,
    ( ~ c_Relation_Ototal__on(X1,X5,X4)
    | ~ c_member(X1,X3,X5)
    | ~ c_member(X1,X2,X5)
    | X3 = X2
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2511]) ).

cnf(c_0_2512_0,axiom,
    ( c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2512]) ).

cnf(c_0_2512_1,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
    | c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict) ),
    inference(literals_permutation,[status(thm)],[c_0_2512]) ).

cnf(c_0_2513_0,axiom,
    ( hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,sk1_esk6_3(X3,X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2513]) ).

cnf(c_0_2513_1,axiom,
    ( ~ hBOOL(hAPP(X1,sk1_esk6_3(X3,X2,X1)))
    | hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2513]) ).

cnf(c_0_2514_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X5,X6))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X6)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2514]) ).

cnf(c_0_2514_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X6)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X5,X6))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2514]) ).

cnf(c_0_2514_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X6)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X5,X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2514]) ).

cnf(c_0_2515_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2515]) ).

cnf(c_0_2515_1,axiom,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2515]) ).

cnf(c_0_2515_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2515]) ).

cnf(c_0_2515_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2515]) ).

cnf(c_0_2516_0,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)
    | ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X5),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2516]) ).

cnf(c_0_2516_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X1,X2,X5),X3),X4))
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2516]) ).

cnf(c_0_2519_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2519]) ).

cnf(c_0_2519_1,axiom,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2519]) ).

cnf(c_0_2519_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2519]) ).

cnf(c_0_2519_3,axiom,
    ( ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2519]) ).

cnf(c_0_2521_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2521]) ).

cnf(c_0_2521_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2521]) ).

cnf(c_0_2521_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2521]) ).

cnf(c_0_2522_0,axiom,
    ( c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2522]) ).

cnf(c_0_2522_1,axiom,
    ( ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2522]) ).

cnf(c_0_2522_2,axiom,
    ( ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2522]) ).

cnf(c_0_2522_3,axiom,
    ( ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2522]) ).

cnf(c_0_2522_4,axiom,
    ( ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2522]) ).

cnf(c_0_2522_5,axiom,
    ( X3 != X4
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Orefl__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2522]) ).

cnf(c_0_2523_0,axiom,
    ( X2 = X3
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin) ),
    inference(literals_permutation,[status(thm)],[c_0_2523]) ).

cnf(c_0_2523_1,axiom,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1)
    | X2 = X3
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin) ),
    inference(literals_permutation,[status(thm)],[c_0_2523]) ).

cnf(c_0_2523_2,axiom,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1)
    | X2 = X3
    | ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin) ),
    inference(literals_permutation,[status(thm)],[c_0_2523]) ).

cnf(c_0_2523_3,axiom,
    ( ~ c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X1)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2523]) ).

cnf(c_0_2524_0,axiom,
    ( c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2524]) ).

cnf(c_0_2524_1,axiom,
    ( ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2524]) ).

cnf(c_0_2524_2,axiom,
    ( ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2524]) ).

cnf(c_0_2524_3,axiom,
    ( ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2524]) ).

cnf(c_0_2524_4,axiom,
    ( X3 != X4
    | ~ c_member(X1,X4,c_Relation_OField(X1,X2))
    | ~ c_member(X1,X3,c_Relation_OField(X1,X2))
    | ~ c_Order__Relation_Opartial__order__on(X1,c_Relation_OField(X1,X2),X2)
    | c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2524]) ).

cnf(c_0_2525_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2525]) ).

cnf(c_0_2525_1,axiom,
    ( ~ c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2525]) ).

cnf(c_0_2525_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2525]) ).

cnf(c_0_2526_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2526]) ).

cnf(c_0_2526_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2526]) ).

cnf(c_0_2526_2,axiom,
    ( ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2526]) ).

cnf(c_0_2529_0,axiom,
    ( c_Relation_OImage(X1,X1,c_Transitive__Closure_Ortrancl(X1,X2),X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2529]) ).

cnf(c_0_2529_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),X3)
    | c_Relation_OImage(X1,X1,c_Transitive__Closure_Ortrancl(X1,X2),X3) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2529]) ).

cnf(c_0_2530_0,axiom,
    ( hBOOL(hAPP(X1,sk1_esk61_4(X1,X5,X4,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2530]) ).

cnf(c_0_2530_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,sk1_esk61_4(X1,X5,X4,X3)))
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2530]) ).

cnf(c_0_2530_2,axiom,
    ( ~ c_member(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,sk1_esk61_4(X1,X5,X4,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2530]) ).

cnf(c_0_2531_0,axiom,
    ( hBOOL(hAPP(X1,sk1_esk61_4(X1,X4,X5,X3)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2531]) ).

cnf(c_0_2531_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,sk1_esk61_4(X1,X4,X5,X3)))
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2531]) ).

cnf(c_0_2531_2,axiom,
    ( ~ c_member(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,sk1_esk61_4(X1,X4,X5,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2531]) ).

cnf(c_0_2532_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2532]) ).

cnf(c_0_2532_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2532]) ).

cnf(c_0_2532_2,axiom,
    ( ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2532]) ).

cnf(c_0_2533_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2533]) ).

cnf(c_0_2533_1,axiom,
    ( ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3))
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2533]) ).

cnf(c_0_2533_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3))
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2533]) ).

cnf(c_0_2534_0,axiom,
    ( c_member(X1,X2,c_Relation_OImage(X1,X1,X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_member(X1,X2,X4)
    | ~ c_Equiv__Relations_Oequiv(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2534]) ).

cnf(c_0_2534_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,c_Relation_OImage(X1,X1,X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))
    | ~ c_Equiv__Relations_Oequiv(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2534]) ).

cnf(c_0_2534_2,axiom,
    ( ~ c_Equiv__Relations_Oequiv(X1,X4,X3)
    | ~ c_member(X1,X2,X4)
    | c_member(X1,X2,c_Relation_OImage(X1,X1,X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) ),
    inference(literals_permutation,[status(thm)],[c_0_2534]) ).

cnf(c_0_2535_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2535]) ).

cnf(c_0_2535_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2535]) ).

cnf(c_0_2535_2,axiom,
    ( ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2535]) ).

cnf(c_0_2536_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2536]) ).

cnf(c_0_2536_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2536]) ).

cnf(c_0_2536_2,axiom,
    ( ~ c_member(X1,X4,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2536]) ).

cnf(c_0_2537_0,axiom,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X1,X3))
    | X2 = X4
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2537]) ).

cnf(c_0_2537_1,axiom,
    ( X2 = X4
    | c_member(X1,X2,c_Relation_ODomain(X1,X1,X3))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2537]) ).

cnf(c_0_2537_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | X2 = X4
    | c_member(X1,X2,c_Relation_ODomain(X1,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2537]) ).

cnf(c_0_2538_0,axiom,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2538]) ).

cnf(c_0_2538_1,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2538]) ).

cnf(c_0_2538_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_member(X1,X3,X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2538]) ).

cnf(c_0_2538_3,axiom,
    ( ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2538]) ).

cnf(c_0_2539_0,axiom,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk10_2(X2,X1),sk1_esk12_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2539]) ).

cnf(c_0_2539_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk10_2(X2,X1),sk1_esk12_2(X2,X1)),X2)
    | c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2539]) ).

cnf(c_0_2540_0,axiom,
    ( c_Nitpick_Orefl_H(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk5_2(X2,X1),sk1_esk5_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2540]) ).

cnf(c_0_2540_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk5_2(X2,X1),sk1_esk5_2(X2,X1)),X2)
    | c_Nitpick_Orefl_H(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2540]) ).

cnf(c_0_2541_0,axiom,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk2_2(X2,X1),sk1_esk4_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2541]) ).

cnf(c_0_2541_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk2_2(X2,X1),sk1_esk4_2(X2,X1)),X2)
    | c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2541]) ).

cnf(c_0_2542_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3))
    | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X3),hAPP(c_Wellfounded_Omeasure(X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2542]) ).

cnf(c_0_2542_1,axiom,
    ( ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X3),hAPP(c_Wellfounded_Omeasure(X4),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2542]) ).

cnf(c_0_2543_0,axiom,
    ( c_member(X1,X2,c_Relation_ORange(X3,X1,X4))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2543]) ).

cnf(c_0_2543_1,axiom,
    ( ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4)
    | c_member(X1,X2,c_Relation_ORange(X3,X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2543]) ).

cnf(c_0_2544_0,axiom,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X3,X4))
    | ~ c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2544]) ).

cnf(c_0_2544_1,axiom,
    ( ~ c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4)
    | c_member(X1,X2,c_Relation_ODomain(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2544]) ).

cnf(c_0_2545_0,axiom,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X3,X4))
    | ~ c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2545]) ).

cnf(c_0_2545_1,axiom,
    ( ~ c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4)
    | c_member(X1,X2,c_Relation_ODomain(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2545]) ).

cnf(c_0_2546_0,axiom,
    ( c_member(X1,X2,c_Relation_ORange(X3,X1,X4))
    | ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2546]) ).

cnf(c_0_2546_1,axiom,
    ( ~ c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4)
    | c_member(X1,X2,c_Relation_ORange(X3,X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2546]) ).

cnf(c_0_2547_0,axiom,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk31_3(X3,X2,X1),sk1_esk32_3(X3,X2,X1)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2547]) ).

cnf(c_0_2547_1,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk31_3(X3,X2,X1),sk1_esk32_3(X3,X2,X1)),X3)
    | c_Relation_Osingle__valued(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2547]) ).

cnf(c_0_2548_0,axiom,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk31_3(X3,X2,X1),sk1_esk33_3(X3,X2,X1)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2548]) ).

cnf(c_0_2548_1,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk31_3(X3,X2,X1),sk1_esk33_3(X3,X2,X1)),X3)
    | c_Relation_Osingle__valued(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2548]) ).

cnf(c_0_2549_0,axiom,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk28_3(X3,X2,X1),sk1_esk29_3(X3,X2,X1)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2549]) ).

cnf(c_0_2549_1,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk28_3(X3,X2,X1),sk1_esk29_3(X3,X2,X1)),X3)
    | c_Relation_Osingle__valued(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2549]) ).

cnf(c_0_2550_0,axiom,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk28_3(X3,X2,X1),sk1_esk30_3(X3,X2,X1)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2550]) ).

cnf(c_0_2550_1,axiom,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,sk1_esk28_3(X3,X2,X1),sk1_esk30_3(X3,X2,X1)),X3)
    | c_Relation_Osingle__valued(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2550]) ).

cnf(c_0_2551_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X2),X5)
    | ~ c_Relation_Orefl__on(X1,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2551]) ).

cnf(c_0_2551_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X2),X5)
    | c_member(X1,X2,X3)
    | ~ c_Relation_Orefl__on(X1,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2551]) ).

cnf(c_0_2551_2,axiom,
    ( ~ c_Relation_Orefl__on(X1,X3,X5)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X2),X5)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2551]) ).

cnf(c_0_2552_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X5)
    | ~ c_Relation_Orefl__on(X1,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2552]) ).

cnf(c_0_2552_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X5)
    | c_member(X1,X2,X3)
    | ~ c_Relation_Orefl__on(X1,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2552]) ).

cnf(c_0_2552_2,axiom,
    ( ~ c_Relation_Orefl__on(X1,X3,X5)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X5)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2552]) ).

cnf(c_0_2554_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2554]) ).

cnf(c_0_2554_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2554]) ).

cnf(c_0_2554_2,axiom,
    ( ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2554]) ).

cnf(c_0_2555_0,axiom,
    ( c_member(X1,X2,X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2555]) ).

cnf(c_0_2555_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2555]) ).

cnf(c_0_2556_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2556]) ).

cnf(c_0_2556_1,axiom,
    ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2556]) ).

cnf(c_0_2557_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2557]) ).

cnf(c_0_2557_1,axiom,
    ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2557]) ).

cnf(c_0_2558_0,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_Wellfounded_Oacyclic(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2558]) ).

cnf(c_0_2558_1,axiom,
    ( ~ c_Wellfounded_Oacyclic(X1,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2558]) ).

cnf(c_0_2559_0,axiom,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2559]) ).

cnf(c_0_2559_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2559]) ).

cnf(c_0_2559_2,axiom,
    ( X2 != X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2559]) ).

cnf(c_0_2560_0,axiom,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2560]) ).

cnf(c_0_2560_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2560]) ).

cnf(c_0_2560_2,axiom,
    ( X2 != X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2560]) ).

cnf(c_0_2561_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Relation_OImage(X2,X2,X3,X1))
    | ~ c_Wellfounded_Owf(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2561]) ).

cnf(c_0_2561_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Relation_OImage(X2,X2,X3,X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Wellfounded_Owf(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2561]) ).

cnf(c_0_2561_2,axiom,
    ( ~ c_Wellfounded_Owf(X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Relation_OImage(X2,X2,X3,X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2561]) ).

cnf(c_0_2562_0,axiom,
    ( X2 = X3
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2562]) ).

cnf(c_0_2562_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2562]) ).

cnf(c_0_2563_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Wellfounded_Oless__than) ),
    inference(literals_permutation,[status(thm)],[c_0_2563]) ).

cnf(c_0_2563_1,axiom,
    ( ~ c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Wellfounded_Oless__than)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2563]) ).

cnf(c_0_2564_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk75_3(X2,X1,X3),X3),X2)
    | ~ c_member(X1,X3,sk1_esk73_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2564]) ).

cnf(c_0_2564_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk75_3(X2,X1,X3),X3),X2)
    | c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X3,sk1_esk73_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2564]) ).

cnf(c_0_2564_2,axiom,
    ( ~ c_member(X1,X3,sk1_esk73_2(X2,X1))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk75_3(X2,X1,X3),X3),X2)
    | c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2564]) ).

cnf(c_0_2565_0,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2565]) ).

cnf(c_0_2565_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2565]) ).

cnf(c_0_2566_0,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2566]) ).

cnf(c_0_2566_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2566]) ).

cnf(c_0_2567_0,axiom,
    ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Relation_Oirrefl(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2567]) ).

cnf(c_0_2567_1,axiom,
    ( ~ c_Relation_Oirrefl(X1,X3)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2567]) ).

cnf(c_0_2568_0,axiom,
    ( X1 = X2
    | ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Relation_OId(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2568]) ).

cnf(c_0_2568_1,axiom,
    ( ~ c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Relation_OId(X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2568]) ).

cnf(c_0_2569_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk24_3(X3,X2,X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2569]) ).

cnf(c_0_2569_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk24_3(X3,X2,X1),X2),X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2569]) ).

cnf(c_0_2570_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk23_3(X3,X2,X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2570]) ).

cnf(c_0_2570_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk23_3(X3,X2,X1),X2),X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2570]) ).

cnf(c_0_2571_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk20_3(X3,X2,X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2571]) ).

cnf(c_0_2571_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk20_3(X3,X2,X1),X2),X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2571]) ).

cnf(c_0_2572_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2572]) ).

cnf(c_0_2572_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Wellfounded_Omlex__prod(X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2572]) ).

cnf(c_0_2573_0,axiom,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2573]) ).

cnf(c_0_2573_1,axiom,
    ( X2 = X5
    | X2 = X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2573]) ).

cnf(c_0_2573_2,axiom,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X2 = X5
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2573]) ).

cnf(c_0_2574_0,axiom,
    ( X2 = X4
    | X3 = X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2574]) ).

cnf(c_0_2574_1,axiom,
    ( X3 = X4
    | X2 = X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2574]) ).

cnf(c_0_2574_2,axiom,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 = X4
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2574]) ).

cnf(c_0_2575_0,axiom,
    ( X3 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2575]) ).

cnf(c_0_2575_1,axiom,
    ( X2 = X5
    | X3 = X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2575]) ).

cnf(c_0_2575_2,axiom,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X2 = X5
    | X3 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2575]) ).

cnf(c_0_2576_0,axiom,
    ( X3 = X5
    | X3 = X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2576]) ).

cnf(c_0_2576_1,axiom,
    ( X3 = X4
    | X3 = X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2576]) ).

cnf(c_0_2576_2,axiom,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) != c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 = X4
    | X3 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2576]) ).

cnf(c_0_2578_0,axiom,
    ( c_member(X3,sk1_esk61_4(X1,X5,X4,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2578]) ).

cnf(c_0_2578_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk61_4(X1,X5,X4,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5))
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2578]) ).

cnf(c_0_2578_2,axiom,
    ( ~ c_member(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk61_4(X1,X5,X4,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2578]) ).

cnf(c_0_2579_0,axiom,
    ( c_member(X3,sk1_esk61_4(X1,X4,X5,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2579]) ).

cnf(c_0_2579_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk61_4(X1,X4,X5,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4))
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2579]) ).

cnf(c_0_2579_2,axiom,
    ( ~ c_member(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2))
    | c_member(X3,sk1_esk61_4(X1,X4,X5,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2579]) ).

cnf(c_0_2580_0,axiom,
    ( c_member(X1,sk1_esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | hBOOL(hAPP(X2,X5))
    | ~ c_member(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2580]) ).

cnf(c_0_2580_1,axiom,
    ( hBOOL(hAPP(X2,X5))
    | c_member(X1,sk1_esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | ~ c_member(X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2580]) ).

cnf(c_0_2580_2,axiom,
    ( ~ c_member(X1,X5,X4)
    | hBOOL(hAPP(X2,X5))
    | c_member(X1,sk1_esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2580]) ).

cnf(c_0_2581_0,axiom,
    ( c_member(X1,sk1_esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | hBOOL(hAPP(X2,X5))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2581]) ).

cnf(c_0_2581_1,axiom,
    ( hBOOL(hAPP(X2,X5))
    | c_member(X1,sk1_esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | ~ c_member(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2581]) ).

cnf(c_0_2581_2,axiom,
    ( ~ c_member(X1,X5,X3)
    | hBOOL(hAPP(X2,X5))
    | c_member(X1,sk1_esk62_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2581]) ).

cnf(c_0_2582_0,axiom,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)))
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2582]) ).

cnf(c_0_2582_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_2582]) ).

cnf(c_0_2583_0,axiom,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)))
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2583]) ).

cnf(c_0_2583_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X4))
    | c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_2583]) ).

cnf(c_0_2584_0,axiom,
    ( X3 = X5
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2584]) ).

cnf(c_0_2584_1,axiom,
    ( c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6)
    | X3 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2584]) ).

cnf(c_0_2585_0,axiom,
    ( X4 = X6
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2585]) ).

cnf(c_0_2585_1,axiom,
    ( c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6)
    | X4 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_2585]) ).

cnf(c_0_2586_0,axiom,
    ( X3 = X5
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2586]) ).

cnf(c_0_2586_1,axiom,
    ( c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6)
    | X3 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2586]) ).

cnf(c_0_2587_0,axiom,
    ( X4 = X6
    | c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2587]) ).

cnf(c_0_2587_1,axiom,
    ( c_Product__Type_OPair(X1,X2,X3,X4) != c_Product__Type_OPair(X1,X2,X5,X6)
    | X4 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_2587]) ).

cnf(c_0_2588_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),hAPP(c_Wellfounded_Omeasure(X1),X4))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2588]) ).

cnf(c_0_2588_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),hAPP(c_Wellfounded_Omeasure(X1),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2588]) ).

cnf(c_0_2589_0,axiom,
    ( c_member(X1,X2,c_Relation_ODomain(X1,X1,X3))
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | X2 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2589]) ).

cnf(c_0_2589_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | c_member(X1,X2,c_Relation_ODomain(X1,X1,X3))
    | X2 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2589]) ).

cnf(c_0_2589_2,axiom,
    ( X2 != X4
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))
    | c_member(X1,X2,c_Relation_ODomain(X1,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2589]) ).

cnf(c_0_2590_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Relation_Orefl__on(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2590]) ).

cnf(c_0_2590_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Relation_Orefl__on(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2590]) ).

cnf(c_0_2590_2,axiom,
    ( ~ c_Relation_Orefl__on(X1,X4,X3)
    | ~ c_member(X1,X2,X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2590]) ).

cnf(c_0_2591_0,axiom,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk57_2(X2,X1),sk1_esk57_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2591]) ).

cnf(c_0_2591_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk57_2(X2,X1),sk1_esk57_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2))
    | c_Wellfounded_Oacyclic(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2591]) ).

cnf(c_0_2592_0,axiom,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk53_2(X2,X1),sk1_esk53_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2592]) ).

cnf(c_0_2592_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk53_2(X2,X1),sk1_esk53_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2))
    | c_Wellfounded_Oacyclic(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2592]) ).

cnf(c_0_2593_0,axiom,
    ( c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) = X3
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2593]) ).

cnf(c_0_2593_1,axiom,
    ( ~ c_member(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2593]) ).

cnf(c_0_2594_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk77_2(X2,X1),sk1_esk78_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2594_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk77_2(X2,X1),sk1_esk78_2(X2,X1)),X2)
    | c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2595_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk78_2(X2,X1),sk1_esk77_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2595]) ).

cnf(c_0_2595_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk78_2(X2,X1),sk1_esk77_2(X2,X1)),X2)
    | c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2595]) ).

cnf(c_0_2596_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk65_2(X2,X1),sk1_esk66_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2596]) ).

cnf(c_0_2596_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk65_2(X2,X1),sk1_esk66_2(X2,X1)),X2)
    | c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2596]) ).

cnf(c_0_2597_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk66_2(X2,X1),sk1_esk65_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2597]) ).

cnf(c_0_2597_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk66_2(X2,X1),sk1_esk65_2(X2,X1)),X2)
    | c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2597]) ).

cnf(c_0_2598_0,axiom,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk10_2(X2,X1),sk1_esk11_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2598]) ).

cnf(c_0_2598_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk10_2(X2,X1),sk1_esk11_2(X2,X1)),X2)
    | c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2598]) ).

cnf(c_0_2599_0,axiom,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk11_2(X2,X1),sk1_esk12_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2599]) ).

cnf(c_0_2599_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk11_2(X2,X1),sk1_esk12_2(X2,X1)),X2)
    | c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2599]) ).

cnf(c_0_2600_0,axiom,
    ( c_Relation_Oirrefl(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk9_2(X2,X1),sk1_esk9_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2600]) ).

cnf(c_0_2600_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk9_2(X2,X1),sk1_esk9_2(X2,X1)),X2)
    | c_Relation_Oirrefl(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2600]) ).

cnf(c_0_2601_0,axiom,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk2_2(X2,X1),sk1_esk3_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2601]) ).

cnf(c_0_2601_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk2_2(X2,X1),sk1_esk3_2(X2,X1)),X2)
    | c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2601]) ).

cnf(c_0_2602_0,axiom,
    ( c_Relation_Otrans(X1,X2)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk3_2(X2,X1),sk1_esk4_2(X2,X1)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2602]) ).

cnf(c_0_2602_1,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sk1_esk3_2(X2,X1),sk1_esk4_2(X2,X1)),X2)
    | c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2602]) ).

cnf(c_0_2603_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | ~ c_member(X1,X2,X4)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2603]) ).

cnf(c_0_2603_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2603]) ).

cnf(c_0_2603_2,axiom,
    ( X2 != X3
    | ~ c_member(X1,X2,X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2603]) ).

cnf(c_0_2604_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | ~ c_member(X1,X2,X4)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2604]) ).

cnf(c_0_2604_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2604]) ).

cnf(c_0_2604_2,axiom,
    ( X2 != X3
    | ~ c_member(X1,X2,X4)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId__on(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2604]) ).

cnf(c_0_2606_0,axiom,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2606]) ).

cnf(c_0_2606_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2606]) ).

cnf(c_0_2607_0,axiom,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2607]) ).

cnf(c_0_2607_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2607]) ).

cnf(c_0_2609_0,axiom,
    ( c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Wellfounded_Oless__than)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2609]) ).

cnf(c_0_2609_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,X1,X2),c_Wellfounded_Oless__than) ),
    inference(literals_permutation,[status(thm)],[c_0_2609]) ).

cnf(c_0_2610_0,axiom,
    ( c_Relation_Orefl__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))
    | ~ c_Relation_Orefl__on(X1,X3,X5)
    | ~ c_Relation_Orefl__on(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2610]) ).

cnf(c_0_2610_1,axiom,
    ( ~ c_Relation_Orefl__on(X1,X3,X5)
    | c_Relation_Orefl__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))
    | ~ c_Relation_Orefl__on(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2610]) ).

cnf(c_0_2610_2,axiom,
    ( ~ c_Relation_Orefl__on(X1,X2,X4)
    | ~ c_Relation_Orefl__on(X1,X3,X5)
    | c_Relation_Orefl__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2610]) ).

cnf(c_0_2611_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2611]) ).

cnf(c_0_2611_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2611]) ).

cnf(c_0_2611_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2611]) ).

cnf(c_0_2611_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2611]) ).

cnf(c_0_2612_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2612]) ).

cnf(c_0_2612_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2612]) ).

cnf(c_0_2612_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2612]) ).

cnf(c_0_2612_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2612]) ).

cnf(c_0_2613_0,axiom,
    ( c_Product__Type_OPair(X1,X1,sk1_esk17_3(X3,X2,X1),sk1_esk17_3(X3,X2,X1)) = X2
    | ~ c_member(tc_prod(X1,X1),X2,c_Relation_OId__on(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2613]) ).

cnf(c_0_2613_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),X2,c_Relation_OId__on(X1,X3))
    | c_Product__Type_OPair(X1,X1,sk1_esk17_3(X3,X2,X1),sk1_esk17_3(X3,X2,X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2613]) ).

cnf(c_0_2614_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2614]) ).

cnf(c_0_2614_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2614]) ).

cnf(c_0_2614_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2614]) ).

cnf(c_0_2615_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2615]) ).

cnf(c_0_2615_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2615]) ).

cnf(c_0_2615_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2615]) ).

cnf(c_0_2618_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2618]) ).

cnf(c_0_2618_1,axiom,
    ( X2 != X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2618]) ).

cnf(c_0_2622_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)
    | ~ c_Nitpick_Orefl_H(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2622]) ).

cnf(c_0_2622_1,axiom,
    ( ~ c_Nitpick_Orefl_H(X1,X3)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2622]) ).

cnf(c_0_2623_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2623]) ).

cnf(c_0_2623_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2623]) ).

cnf(c_0_2624_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2624]) ).

cnf(c_0_2624_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2624]) ).

cnf(c_0_2625_0,axiom,
    ( X1 = c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2625]) ).

cnf(c_0_2625_1,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | X1 = c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2625]) ).

cnf(c_0_2625_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | X1 = c_Set_Oinsert(X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2625]) ).

cnf(c_0_2626_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X3,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2626]) ).

cnf(c_0_2626_1,axiom,
    ( hBOOL(hAPP(X3,X2))
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X3,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2626]) ).

cnf(c_0_2626_2,axiom,
    ( ~ hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X3,X1),X2))
    | hBOOL(hAPP(X3,X2))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2626]) ).

cnf(c_0_2627_0,axiom,
    ( c_Order__Relation_Owell__order__on(X1,X2,X3)
    | ~ c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2627]) ).

cnf(c_0_2627_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | c_Order__Relation_Owell__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2627]) ).

cnf(c_0_2627_2,axiom,
    ( ~ c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | ~ c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | c_Order__Relation_Owell__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2627]) ).

cnf(c_0_2628_0,axiom,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId(X1))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2628]) ).

cnf(c_0_2628_1,axiom,
    ( X2 != X3
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_OId(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2628]) ).

cnf(c_0_2630_0,axiom,
    ( c_Wellfounded_Owf(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
    | ~ c_Wellfounded_Owf(X2,X4)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2630]) ).

cnf(c_0_2630_1,axiom,
    ( ~ c_Wellfounded_Owf(X2,X4)
    | c_Wellfounded_Owf(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2630]) ).

cnf(c_0_2630_2,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | ~ c_Wellfounded_Owf(X2,X4)
    | c_Wellfounded_Owf(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2630]) ).

cnf(c_0_2631_0,axiom,
    ( c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
    | ~ c_Relation_Otrans(X2,X4)
    | ~ c_Relation_Otrans(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2631]) ).

cnf(c_0_2631_1,axiom,
    ( ~ c_Relation_Otrans(X2,X4)
    | c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
    | ~ c_Relation_Otrans(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2631]) ).

cnf(c_0_2631_2,axiom,
    ( ~ c_Relation_Otrans(X1,X3)
    | ~ c_Relation_Otrans(X2,X4)
    | c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2631]) ).

cnf(c_0_2632_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2632]) ).

cnf(c_0_2632_1,axiom,
    ( ~ c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2632]) ).

cnf(c_0_2633_0,axiom,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 != X5
    | X2 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2633]) ).

cnf(c_0_2633_1,axiom,
    ( X3 != X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X2 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2633]) ).

cnf(c_0_2633_2,axiom,
    ( X2 != X4
    | X3 != X5
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2633]) ).

cnf(c_0_2634_0,axiom,
    ( c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X3 != X4
    | X2 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2634]) ).

cnf(c_0_2634_1,axiom,
    ( X3 != X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X2 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2634]) ).

cnf(c_0_2634_2,axiom,
    ( X2 != X5
    | X3 != X4
    | c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Set_Oinsert(X1,X4,c_Set_Oinsert(X1,X5,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2634]) ).

cnf(c_0_2635_0,axiom,
    ( c_FunDef_Oreduction__pair(X1,c_FunDef_Orp__inv__image(X2,X1,X3,X4))
    | ~ c_FunDef_Oreduction__pair(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2635]) ).

cnf(c_0_2635_1,axiom,
    ( ~ c_FunDef_Oreduction__pair(X2,X3)
    | c_FunDef_Oreduction__pair(X1,c_FunDef_Orp__inv__image(X2,X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2635]) ).

cnf(c_0_2636_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2636]) ).

cnf(c_0_2636_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2636]) ).

cnf(c_0_2636_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2636]) ).

cnf(c_0_2636_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2636]) ).

cnf(c_0_2637_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2637]) ).

cnf(c_0_2637_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2637]) ).

cnf(c_0_2637_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2637]) ).

cnf(c_0_2637_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2637]) ).

cnf(c_0_2638_0,axiom,
    ( c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | X4 != X6
    | X3 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2638]) ).

cnf(c_0_2638_1,axiom,
    ( X4 != X6
    | c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6)
    | X3 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2638]) ).

cnf(c_0_2638_2,axiom,
    ( X3 != X5
    | X4 != X6
    | c_Product__Type_OPair(X1,X2,X3,X4) = c_Product__Type_OPair(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2638]) ).

cnf(c_0_2639_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2639]) ).

cnf(c_0_2639_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2639]) ).

cnf(c_0_2640_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2640]) ).

cnf(c_0_2640_1,axiom,
    ( c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2640]) ).

cnf(c_0_2640_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2640]) ).

cnf(c_0_2640_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2640]) ).

cnf(c_0_2641_0,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2641]) ).

cnf(c_0_2641_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2641]) ).

cnf(c_0_2641_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2641]) ).

cnf(c_0_2642_0,axiom,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X3)
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2642]) ).

cnf(c_0_2642_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X3)
    | c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2642]) ).

cnf(c_0_2642_2,axiom,
    ( ~ c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X3)
    | c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2642]) ).

cnf(c_0_2643_0,axiom,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2643]) ).

cnf(c_0_2643_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2643]) ).

cnf(c_0_2643_2,axiom,
    ( c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2643]) ).

cnf(c_0_2643_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2643]) ).

cnf(c_0_2644_0,axiom,
    ( c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2644]) ).

cnf(c_0_2644_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2644]) ).

cnf(c_0_2644_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2644]) ).

cnf(c_0_2645_0,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) = X4
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2645]) ).

cnf(c_0_2645_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) = X4
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2645]) ).

cnf(c_0_2645_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2645]) ).

cnf(c_0_2646_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2646]) ).

cnf(c_0_2646_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2646]) ).

cnf(c_0_2646_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2646]) ).

cnf(c_0_2647_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2647]) ).

cnf(c_0_2647_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2647]) ).

cnf(c_0_2647_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2647]) ).

cnf(c_0_2647_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2647]) ).

cnf(c_0_2650_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2650]) ).

cnf(c_0_2650_1,axiom,
    ( ~ c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2650]) ).

cnf(c_0_2651_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2651]) ).

cnf(c_0_2651_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2651]) ).

cnf(c_0_2651_2,axiom,
    ( ~ c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2651]) ).

cnf(c_0_2652_0,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = X3
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2652]) ).

cnf(c_0_2652_1,axiom,
    ( c_member(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2652]) ).

cnf(c_0_2653_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2653]) ).

cnf(c_0_2653_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X5))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2653]) ).

cnf(c_0_2653_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X5))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2653]) ).

cnf(c_0_2653_3,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2653]) ).

cnf(c_0_2654_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2654]) ).

cnf(c_0_2654_1,axiom,
    ( c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2654]) ).

cnf(c_0_2654_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2654]) ).

cnf(c_0_2654_3,axiom,
    ( ~ c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2654]) ).

cnf(c_0_2655_0,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2655]) ).

cnf(c_0_2655_1,axiom,
    ( c_member(X1,X2,X4)
    | c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2655]) ).

cnf(c_0_2656_0,axiom,
    ( c_Product__Type_OPair(X2,X2,sk1_esk58_2(X1,X2),sk1_esk58_2(X1,X2)) = X1
    | ~ c_member(tc_prod(X2,X2),X1,c_Relation_OId(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2656]) ).

cnf(c_0_2656_1,axiom,
    ( ~ c_member(tc_prod(X2,X2),X1,c_Relation_OId(X2))
    | c_Product__Type_OPair(X2,X2,sk1_esk58_2(X1,X2),sk1_esk58_2(X1,X2)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2656]) ).

cnf(c_0_2657_0,axiom,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2657]) ).

cnf(c_0_2657_1,axiom,
    ( c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2657]) ).

cnf(c_0_2657_2,axiom,
    ( ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | c_member(X1,X2,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2657]) ).

cnf(c_0_2658_0,axiom,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2658]) ).

cnf(c_0_2658_1,axiom,
    ( c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2658]) ).

cnf(c_0_2658_2,axiom,
    ( ~ c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | c_member(X1,X2,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2658]) ).

cnf(c_0_2659_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2659]) ).

cnf(c_0_2659_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2659]) ).

cnf(c_0_2659_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2659]) ).

cnf(c_0_2660_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2660]) ).

cnf(c_0_2660_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2660]) ).

cnf(c_0_2660_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2660]) ).

cnf(c_0_2661_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2661]) ).

cnf(c_0_2661_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2661]) ).

cnf(c_0_2662_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2662]) ).

cnf(c_0_2662_1,axiom,
    ( c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2662]) ).

cnf(c_0_2662_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2662]) ).

cnf(c_0_2663_0,axiom,
    ( c_member(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2663]) ).

cnf(c_0_2663_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2663]) ).

cnf(c_0_2663_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2663]) ).

cnf(c_0_2664_0,axiom,
    ( X1 = X2
    | ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2664]) ).

cnf(c_0_2664_1,axiom,
    ( ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2664]) ).

cnf(c_0_2665_0,axiom,
    ( X1 = X2
    | ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2665]) ).

cnf(c_0_2665_1,axiom,
    ( ~ c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2665]) ).

cnf(c_0_2666_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2666]) ).

cnf(c_0_2666_1,axiom,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2666]) ).

cnf(c_0_2666_2,axiom,
    ( c_member(X1,X3,X2)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2666]) ).

cnf(c_0_2666_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2666]) ).

cnf(c_0_2667_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X4,X3,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2667]) ).

cnf(c_0_2667_1,axiom,
    ( X3 = X2
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X4,X3,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2667]) ).

cnf(c_0_2667_2,axiom,
    ( ~ hBOOL(hAPP(c_Set_Oinsert(X4,X3,X1),X2))
    | X3 = X2
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2667]) ).

cnf(c_0_2668_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2668]) ).

cnf(c_0_2668_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2668]) ).

cnf(c_0_2669_0,axiom,
    ( ~ c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2669]) ).

cnf(c_0_2669_1,axiom,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X3))
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2669]) ).

cnf(c_0_2670_0,axiom,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2670]) ).

cnf(c_0_2670_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2670]) ).

cnf(c_0_2671_0,axiom,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2671]) ).

cnf(c_0_2671_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2671]) ).

cnf(c_0_2672_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
    | ~ hBOOL(hAPP(hAPP(X6,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2672]) ).

cnf(c_0_2672_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X6,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2672]) ).

cnf(c_0_2672_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X6,X2),X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
    | hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2672]) ).

cnf(c_0_2673_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2673]) ).

cnf(c_0_2673_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(X4,X2),X3))
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2673]) ).

cnf(c_0_2673_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1)
    | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
    | hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2673]) ).

cnf(c_0_2674_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2674]) ).

cnf(c_0_2674_1,axiom,
    ( ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2674]) ).

cnf(c_0_2675_0,axiom,
    ( c_Order__Relation_Ostrict__linear__order__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2675]) ).

cnf(c_0_2675_1,axiom,
    ( ~ c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | c_Order__Relation_Ostrict__linear__order__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2675]) ).

cnf(c_0_2677_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2677]) ).

cnf(c_0_2677_1,axiom,
    ( hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2677]) ).

cnf(c_0_2677_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2677]) ).

cnf(c_0_2677_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2677]) ).

cnf(c_0_2678_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2678]) ).

cnf(c_0_2678_1,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2678]) ).

cnf(c_0_2678_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2678]) ).

cnf(c_0_2678_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2678]) ).

cnf(c_0_2679_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2679]) ).

cnf(c_0_2679_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2679]) ).

cnf(c_0_2679_2,axiom,
    ( ~ c_member(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2679]) ).

cnf(c_0_2680_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2680]) ).

cnf(c_0_2680_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2680]) ).

cnf(c_0_2680_2,axiom,
    ( ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2680]) ).

cnf(c_0_2683_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2683]) ).

cnf(c_0_2683_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2683]) ).

cnf(c_0_2684_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2684]) ).

cnf(c_0_2684_1,axiom,
    ( ~ hBOOL(hAPP(X3,X4))
    | hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2684]) ).

cnf(c_0_2685_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2685]) ).

cnf(c_0_2685_1,axiom,
    ( ~ hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2685]) ).

cnf(c_0_2686_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2686]) ).

cnf(c_0_2686_1,axiom,
    ( ~ hBOOL(hAPP(X3,X4))
    | hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2686]) ).

cnf(c_0_2687_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2687]) ).

cnf(c_0_2687_1,axiom,
    ( ~ hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2687]) ).

cnf(c_0_2688_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2688]) ).

cnf(c_0_2688_1,axiom,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2688]) ).

cnf(c_0_2689_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2689]) ).

cnf(c_0_2689_1,axiom,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2689]) ).

cnf(c_0_2690_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2690]) ).

cnf(c_0_2690_1,axiom,
    ( ~ c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2690]) ).

cnf(c_0_2691_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | c_member(X1,X3,X2)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2691]) ).

cnf(c_0_2691_1,axiom,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2691]) ).

cnf(c_0_2691_2,axiom,
    ( c_member(X1,X3,X2)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2691]) ).

cnf(c_0_2691_3,axiom,
    ( ~ c_member(X1,X3,X2)
    | c_member(X1,X3,X2)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2691]) ).

cnf(c_0_2692_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,sk1_esk24_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2692]) ).

cnf(c_0_2692_1,axiom,
    ( ~ c_member(X1,sk1_esk24_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3))
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2692]) ).

cnf(c_0_2693_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,sk1_esk23_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2693]) ).

cnf(c_0_2693_1,axiom,
    ( ~ c_member(X1,sk1_esk23_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3))
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2693]) ).

cnf(c_0_2694_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_member(X1,sk1_esk20_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2694]) ).

cnf(c_0_2694_1,axiom,
    ( ~ c_member(X1,sk1_esk20_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3))
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2694]) ).

cnf(c_0_2695_0,axiom,
    ( c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1)))
    | ~ c_Order__Relation_Owell__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2695]) ).

cnf(c_0_2695_1,axiom,
    ( ~ c_Order__Relation_Owell__order__on(X1,X2,X3)
    | c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Relation_OId(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2695]) ).

cnf(c_0_2696_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2696]) ).

cnf(c_0_2696_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2696]) ).

cnf(c_0_2697_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2697]) ).

cnf(c_0_2697_1,axiom,
    ( c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2697]) ).

cnf(c_0_2697_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2697]) ).

cnf(c_0_2698_0,axiom,
    ( c_member(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2698]) ).

cnf(c_0_2698_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4))
    | c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2698]) ).

cnf(c_0_2698_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4))
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2698]) ).

cnf(c_0_2699_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2)) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2699]) ).

cnf(c_0_2699_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2699]) ).

cnf(c_0_2700_0,axiom,
    ( c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2700]) ).

cnf(c_0_2700_1,axiom,
    ( c_member(X1,X2,X4)
    | c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2700]) ).

cnf(c_0_2700_2,axiom,
    ( ~ c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2700]) ).

cnf(c_0_2701_0,axiom,
    ( c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | c_member(X1,X2,X4)
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2701]) ).

cnf(c_0_2701_1,axiom,
    ( c_member(X1,X2,X4)
    | c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2701]) ).

cnf(c_0_2701_2,axiom,
    ( ~ c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2701]) ).

cnf(c_0_2702_0,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2702]) ).

cnf(c_0_2702_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2702]) ).

cnf(c_0_2703_0,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2703]) ).

cnf(c_0_2703_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2703]) ).

cnf(c_0_2704_0,axiom,
    ( c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2704]) ).

cnf(c_0_2704_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)
    | c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2704]) ).

cnf(c_0_2705_0,axiom,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | ~ c_Relation_Osingle__valued(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2705]) ).

cnf(c_0_2705_1,axiom,
    ( ~ c_Relation_Osingle__valued(X1,X2,X4)
    | c_Relation_Osingle__valued(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2705]) ).

cnf(c_0_2705_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)
    | ~ c_Relation_Osingle__valued(X1,X2,X4)
    | c_Relation_Osingle__valued(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2705]) ).

cnf(c_0_2706_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2706]) ).

cnf(c_0_2706_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2706]) ).

cnf(c_0_2707_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2707]) ).

cnf(c_0_2707_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2707]) ).

cnf(c_0_2708_0,axiom,
    ( X3 = X2
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2708]) ).

cnf(c_0_2708_1,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | X3 = X2
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2708]) ).

cnf(c_0_2708_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | X3 = X2
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2708]) ).

cnf(c_0_2708_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | X3 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2708]) ).

cnf(c_0_2710_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2710]) ).

cnf(c_0_2710_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2710]) ).

cnf(c_0_2710_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2710]) ).

cnf(c_0_2710_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2710]) ).

cnf(c_0_2711_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2711]) ).

cnf(c_0_2711_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2711]) ).

cnf(c_0_2711_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2711]) ).

cnf(c_0_2711_3,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2711]) ).

cnf(c_0_2712_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2712]) ).

cnf(c_0_2712_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2712]) ).

cnf(c_0_2712_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2712]) ).

cnf(c_0_2712_3,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2712]) ).

cnf(c_0_2713_0,axiom,
    ( X1 = X2
    | c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))) != c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2713]) ).

cnf(c_0_2713_1,axiom,
    ( c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))) != c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2713]) ).

cnf(c_0_2714_0,axiom,
    ( X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2714_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2714_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X2 = X3
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2714_3,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2715_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OField(X1,X2),c_Relation_OField(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2715]) ).

cnf(c_0_2715_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OField(X1,X2),c_Relation_OField(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2715]) ).

cnf(c_0_2716_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2716]) ).

cnf(c_0_2716_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2716]) ).

cnf(c_0_2718_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2718]) ).

cnf(c_0_2718_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2718]) ).

cnf(c_0_2719_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2719]) ).

cnf(c_0_2719_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2719]) ).

cnf(c_0_2720_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2720]) ).

cnf(c_0_2720_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2720]) ).

cnf(c_0_2721_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2721]) ).

cnf(c_0_2721_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2721]) ).

cnf(c_0_2722_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2722]) ).

cnf(c_0_2722_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2722]) ).

cnf(c_0_2723_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2723]) ).

cnf(c_0_2723_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2723]) ).

cnf(c_0_2724_0,axiom,
    ( c_member(X1,sk1_esk17_3(X3,X2,X1),X3)
    | ~ c_member(tc_prod(X1,X1),X2,c_Relation_OId__on(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2724]) ).

cnf(c_0_2724_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),X2,c_Relation_OId__on(X1,X3))
    | c_member(X1,sk1_esk17_3(X3,X2,X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2724]) ).

cnf(c_0_2725_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(X1,sk1_esk75_3(X2,X1,X3),sk1_esk73_2(X2,X1))
    | ~ c_member(X1,X3,sk1_esk73_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2725]) ).

cnf(c_0_2725_1,axiom,
    ( c_member(X1,sk1_esk75_3(X2,X1,X3),sk1_esk73_2(X2,X1))
    | c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X3,sk1_esk73_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2725]) ).

cnf(c_0_2725_2,axiom,
    ( ~ c_member(X1,X3,sk1_esk73_2(X2,X1))
    | c_member(X1,sk1_esk75_3(X2,X1,X3),sk1_esk73_2(X2,X1))
    | c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2725]) ).

cnf(c_0_2726_0,axiom,
    ( c_Relation_Otrans(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2726]) ).

cnf(c_0_2726_1,axiom,
    ( ~ c_Relation_Oantisym(X1,X2)
    | c_Relation_Otrans(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2726]) ).

cnf(c_0_2726_2,axiom,
    ( ~ c_Relation_Otrans(X1,X2)
    | ~ c_Relation_Oantisym(X1,X2)
    | c_Relation_Otrans(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2726]) ).

cnf(c_0_2728_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X4)
    | ~ c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2728]) ).

cnf(c_0_2728_1,axiom,
    ( c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2728]) ).

cnf(c_0_2728_2,axiom,
    ( ~ c_member(X1,X3,X4)
    | c_member(X1,X3,X4)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2728]) ).

cnf(c_0_2729_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | c_member(X1,X3,X2)
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2729]) ).

cnf(c_0_2729_1,axiom,
    ( c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2729]) ).

cnf(c_0_2729_2,axiom,
    ( ~ c_member(X1,X3,X2)
    | c_member(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2729]) ).

cnf(c_0_2731_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2731]) ).

cnf(c_0_2731_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2731]) ).

cnf(c_0_2731_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2731]) ).

cnf(c_0_2732_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2732]) ).

cnf(c_0_2732_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2732]) ).

cnf(c_0_2732_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2732]) ).

cnf(c_0_2733_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2733]) ).

cnf(c_0_2733_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2733]) ).

cnf(c_0_2733_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2733]) ).

cnf(c_0_2734_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2734]) ).

cnf(c_0_2734_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2734]) ).

cnf(c_0_2734_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2734]) ).

cnf(c_0_2735_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2735]) ).

cnf(c_0_2735_1,axiom,
    ( ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2735]) ).

cnf(c_0_2735_2,axiom,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2735]) ).

cnf(c_0_2735_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2735]) ).

cnf(c_0_2736_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2736]) ).

cnf(c_0_2736_1,axiom,
    ( ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2736]) ).

cnf(c_0_2736_2,axiom,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2736]) ).

cnf(c_0_2736_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X5)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2736]) ).

cnf(c_0_2737_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2737]) ).

cnf(c_0_2737_1,axiom,
    ( ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X5)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2737]) ).

cnf(c_0_2737_2,axiom,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2737]) ).

cnf(c_0_2737_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2737]) ).

cnf(c_0_2738_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2738]) ).

cnf(c_0_2738_1,axiom,
    ( ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2738]) ).

cnf(c_0_2738_2,axiom,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2738]) ).

cnf(c_0_2738_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X4,X5)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oordered__ab__group__add(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2738]) ).

cnf(c_0_2739_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2739]) ).

cnf(c_0_2739_1,axiom,
    ( hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2739]) ).

cnf(c_0_2739_2,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2739]) ).

cnf(c_0_2739_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2739]) ).

cnf(c_0_2740_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2740]) ).

cnf(c_0_2740_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2740]) ).

cnf(c_0_2740_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2740]) ).

cnf(c_0_2741_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2741]) ).

cnf(c_0_2741_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2741]) ).

cnf(c_0_2741_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2741]) ).

cnf(c_0_2742_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2742]) ).

cnf(c_0_2742_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2742]) ).

cnf(c_0_2742_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2742]) ).

cnf(c_0_2743_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2743]) ).

cnf(c_0_2743_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2743]) ).

cnf(c_0_2743_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2743]) ).

cnf(c_0_2745_0,axiom,
    ( c_member(X1,X2,X3)
    | X2 = X4
    | ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2745]) ).

cnf(c_0_2745_1,axiom,
    ( X2 = X4
    | c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2745]) ).

cnf(c_0_2745_2,axiom,
    ( ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3))
    | X2 = X4
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2745]) ).

cnf(c_0_2746_0,axiom,
    ( c_member(X1,X2,X3)
    | X2 = X4
    | ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2746]) ).

cnf(c_0_2746_1,axiom,
    ( X2 = X4
    | c_member(X1,X2,X3)
    | ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2746]) ).

cnf(c_0_2746_2,axiom,
    ( ~ c_member(X1,X2,c_Set_Oinsert(X1,X4,X3))
    | X2 = X4
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2746]) ).

cnf(c_0_2751_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2751]) ).

cnf(c_0_2751_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2751]) ).

cnf(c_0_2752_0,axiom,
    ( c_Relation_Otrans(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2752]) ).

cnf(c_0_2752_1,axiom,
    ( ~ c_Relation_Otrans(X1,X2)
    | c_Relation_Otrans(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2752]) ).

cnf(c_0_2753_0,axiom,
    ( c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1)))
    | ~ c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2753]) ).

cnf(c_0_2753_1,axiom,
    ( ~ c_Relation_Oantisym(X1,X2)
    | c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2753]) ).

cnf(c_0_2758_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2758]) ).

cnf(c_0_2758_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2758]) ).

cnf(c_0_2758_2,axiom,
    ( ~ class_Orderings_Oord(X1)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2758]) ).

cnf(c_0_2758_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
    | c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2758]) ).

cnf(c_0_2759_0,axiom,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2759]) ).

cnf(c_0_2759_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2759]) ).

cnf(c_0_2760_0,axiom,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2760]) ).

cnf(c_0_2760_1,axiom,
    ( ~ c_member(X1,X2,X3)
    | c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2760]) ).

cnf(c_0_2761_0,axiom,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2761]) ).

cnf(c_0_2761_1,axiom,
    ( ~ c_member(X1,X2,X3)
    | c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2761]) ).

cnf(c_0_2762_0,axiom,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2762]) ).

cnf(c_0_2762_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2762]) ).

cnf(c_0_2763_0,axiom,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2763]) ).

cnf(c_0_2763_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2763]) ).

cnf(c_0_2764_0,axiom,
    ( c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2764]) ).

cnf(c_0_2764_1,axiom,
    ( ~ c_member(X1,X2,X3)
    | c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2764]) ).

cnf(c_0_2765_0,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2765]) ).

cnf(c_0_2765_1,axiom,
    ( ~ hBOOL(hAPP(X3,X4))
    | hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2765]) ).

cnf(c_0_2766_0,axiom,
    ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,X2),X3,X4),X5) = c_Groups_Ominus__class_Ominus(X2,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Groups_Ominus(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2766]) ).

cnf(c_0_2766_1,axiom,
    ( ~ class_Groups_Ominus(X2)
    | hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,X2),X3,X4),X5) = c_Groups_Ominus__class_Ominus(X2,hAPP(X3,X5),hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2766]) ).

cnf(c_0_2767_0,axiom,
    ( hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,X2),X3,X4),X5) = c_Lattices_Osemilattice__sup__class_Osup(X2,hAPP(X3,X5),hAPP(X4,X5))
    | ~ class_Lattices_Olattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2767]) ).

cnf(c_0_2767_1,axiom,
    ( ~ class_Lattices_Olattice(X2)
    | hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,X2),X3,X4),X5) = c_Lattices_Osemilattice__sup__class_Osup(X2,hAPP(X3,X5),hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2767]) ).

cnf(c_0_2768_0,axiom,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | X3 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2768]) ).

cnf(c_0_2768_1,axiom,
    ( c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | X3 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2768]) ).

cnf(c_0_2768_2,axiom,
    ( X3 = X4
    | c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2768]) ).

cnf(c_0_2768_3,axiom,
    ( c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X2,X4)
    | X3 = X4
    | c_member(X1,X2,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2768]) ).

cnf(c_0_2770_0,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2770]) ).

cnf(c_0_2770_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2770]) ).

cnf(c_0_2770_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2770]) ).

cnf(c_0_2770_3,axiom,
    ( X2 != X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2770]) ).

cnf(c_0_2771_0,axiom,
    ( c_Wellfounded_Owf(X1,hAPP(c_Relation_Oinv__image(X2,X1,X3),X4))
    | ~ c_Wellfounded_Owf(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2771]) ).

cnf(c_0_2771_1,axiom,
    ( ~ c_Wellfounded_Owf(X2,X3)
    | c_Wellfounded_Owf(X1,hAPP(c_Relation_Oinv__image(X2,X1,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2771]) ).

cnf(c_0_2772_0,axiom,
    ( c_Relation_Otrans(X1,hAPP(c_Relation_Oinv__image(X2,X1,X3),X4))
    | ~ c_Relation_Otrans(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2772]) ).

cnf(c_0_2772_1,axiom,
    ( ~ c_Relation_Otrans(X2,X3)
    | c_Relation_Otrans(X1,hAPP(c_Relation_Oinv__image(X2,X1,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2772]) ).

cnf(c_0_2773_0,axiom,
    ( c_member(X1,sk1_esk72_3(X2,X1,X4),X4)
    | ~ c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2773]) ).

cnf(c_0_2773_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | c_member(X1,sk1_esk72_3(X2,X1,X4),X4)
    | ~ c_member(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2773]) ).

cnf(c_0_2773_2,axiom,
    ( ~ c_member(X1,X3,X4)
    | ~ c_Wellfounded_Owf(X1,X2)
    | c_member(X1,sk1_esk72_3(X2,X1,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2773]) ).

cnf(c_0_2774_0,axiom,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2774]) ).

cnf(c_0_2774_1,axiom,
    ( X2 != X3
    | c_member(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2774]) ).

cnf(c_0_2775_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2775]) ).

cnf(c_0_2775_1,axiom,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2775]) ).

cnf(c_0_2775_2,axiom,
    ( hBOOL(hAPP(hAPP(X3,X2),X1))
    | X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2775]) ).

cnf(c_0_2775_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X3,X2),X1))
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2775]) ).

cnf(c_0_2776_0,axiom,
    ( X3 = X2
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2776]) ).

cnf(c_0_2776_1,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | X3 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2776]) ).

cnf(c_0_2776_2,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | X3 = X2
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2776]) ).

cnf(c_0_2776_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
    | hBOOL(hAPP(hAPP(X1,X2),X3))
    | X3 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2776]) ).

cnf(c_0_2777_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2777]) ).

cnf(c_0_2777_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2777]) ).

cnf(c_0_2777_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_member(X1,X2,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2777]) ).

cnf(c_0_2778_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2778]) ).

cnf(c_0_2778_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2778]) ).

cnf(c_0_2778_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_member(X1,X2,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2778]) ).

cnf(c_0_2779_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2779]) ).

cnf(c_0_2779_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2779]) ).

cnf(c_0_2779_2,axiom,
    ( ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2779]) ).

cnf(c_0_2780_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2780]) ).

cnf(c_0_2780_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2780]) ).

cnf(c_0_2780_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_member(X1,X2,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2780]) ).

cnf(c_0_2781_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2781]) ).

cnf(c_0_2781_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2781]) ).

cnf(c_0_2781_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
    | ~ c_member(X1,X2,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2781]) ).

cnf(c_0_2787_0,axiom,
    ( ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2787]) ).

cnf(c_0_2787_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2787]) ).

cnf(c_0_2787_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2787]) ).

cnf(c_0_2788_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2788]) ).

cnf(c_0_2788_1,axiom,
    ( X2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2788]) ).

cnf(c_0_2789_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2789]) ).

cnf(c_0_2789_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2789]) ).

cnf(c_0_2789_2,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2789]) ).

cnf(c_0_2790_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2790]) ).

cnf(c_0_2790_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2790]) ).

cnf(c_0_2790_2,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2790]) ).

cnf(c_0_2791_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2791]) ).

cnf(c_0_2791_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2791]) ).

cnf(c_0_2791_2,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2791]) ).

cnf(c_0_2792_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2792]) ).

cnf(c_0_2792_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2792]) ).

cnf(c_0_2792_2,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2792]) ).

cnf(c_0_2795_0,axiom,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2795]) ).

cnf(c_0_2795_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2795]) ).

cnf(c_0_2796_0,axiom,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2796]) ).

cnf(c_0_2796_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2796]) ).

cnf(c_0_2797_0,axiom,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | ~ c_member(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2797]) ).

cnf(c_0_2797_1,axiom,
    ( ~ c_member(X1,X2,X4)
    | c_member(X1,X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2797]) ).

cnf(c_0_2798_0,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | X2 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2798]) ).

cnf(c_0_2798_1,axiom,
    ( X2 != X4
    | hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2798]) ).

cnf(c_0_2799_0,axiom,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2799]) ).

cnf(c_0_2799_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2799]) ).

cnf(c_0_2799_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2799]) ).

cnf(c_0_2800_0,axiom,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2800]) ).

cnf(c_0_2800_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2800]) ).

cnf(c_0_2800_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2800]) ).

cnf(c_0_2802_0,axiom,
    ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2802]) ).

cnf(c_0_2802_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2802]) ).

cnf(c_0_2803_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2803]) ).

cnf(c_0_2803_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2803]) ).

cnf(c_0_2804_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2804]) ).

cnf(c_0_2804_1,axiom,
    ( ~ class_Orderings_Oord(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2804]) ).

cnf(c_0_2804_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | ~ class_Orderings_Oord(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2804]) ).

cnf(c_0_2805_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2805]) ).

cnf(c_0_2805_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2805]) ).

cnf(c_0_2805_2,axiom,
    ( ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2805]) ).

cnf(c_0_2806_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2806]) ).

cnf(c_0_2806_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2806]) ).

cnf(c_0_2806_2,axiom,
    ( ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2806]) ).

cnf(c_0_2807_0,axiom,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | ~ c_Wellfounded_Oacyclic(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2807]) ).

cnf(c_0_2807_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Wellfounded_Oacyclic(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2807]) ).

cnf(c_0_2807_2,axiom,
    ( ~ c_Wellfounded_Oacyclic(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | c_Wellfounded_Oacyclic(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2807]) ).

cnf(c_0_2808_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2808]) ).

cnf(c_0_2808_1,axiom,
    ( ~ c_Relation_Oantisym(X1,X3)
    | c_Relation_Oantisym(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2808]) ).

cnf(c_0_2808_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | ~ c_Relation_Oantisym(X1,X3)
    | c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2808]) ).

cnf(c_0_2809_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2809]) ).

cnf(c_0_2809_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | c_Wellfounded_Owf(X1,X2)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2809]) ).

cnf(c_0_2809_2,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
    | c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2809]) ).

cnf(c_0_2812_0,axiom,
    ( c_Wellfounded_OwfP(X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X2,X3)
    | ~ c_Wellfounded_OwfP(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2812]) ).

cnf(c_0_2812_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X2,X3)
    | c_Wellfounded_OwfP(X1,X2)
    | ~ c_Wellfounded_OwfP(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2812]) ).

cnf(c_0_2812_2,axiom,
    ( ~ c_Wellfounded_OwfP(X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X2,X3)
    | c_Wellfounded_OwfP(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2812]) ).

cnf(c_0_2813_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2813]) ).

cnf(c_0_2813_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2813]) ).

cnf(c_0_2813_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2813]) ).

cnf(c_0_2813_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2813]) ).

cnf(c_0_2814_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2814]) ).

cnf(c_0_2814_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2814]) ).

cnf(c_0_2814_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2814]) ).

cnf(c_0_2814_3,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2814]) ).

cnf(c_0_2815_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2815]) ).

cnf(c_0_2815_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2815]) ).

cnf(c_0_2815_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2815]) ).

cnf(c_0_2815_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2815]) ).

cnf(c_0_2816_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2816]) ).

cnf(c_0_2816_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2816]) ).

cnf(c_0_2816_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2816]) ).

cnf(c_0_2816_3,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2816]) ).

cnf(c_0_2817_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2817_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2817_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2817_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2818_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2818]) ).

cnf(c_0_2818_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2818]) ).

cnf(c_0_2818_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2818]) ).

cnf(c_0_2818_3,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2818]) ).

cnf(c_0_2819_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2819]) ).

cnf(c_0_2819_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2819]) ).

cnf(c_0_2819_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2819]) ).

cnf(c_0_2819_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2819]) ).

cnf(c_0_2820_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2820]) ).

cnf(c_0_2820_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2820]) ).

cnf(c_0_2820_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2820]) ).

cnf(c_0_2820_3,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2820]) ).

cnf(c_0_2821_0,axiom,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))
    | ~ c_member(tc_prod(X1,X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2821]) ).

cnf(c_0_2821_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),X2,X3)
    | c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2821]) ).

cnf(c_0_2822_0,axiom,
    ( c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3))
    | ~ c_member(tc_prod(X1,X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2822]) ).

cnf(c_0_2822_1,axiom,
    ( ~ c_member(tc_prod(X1,X1),X2,X3)
    | c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2822]) ).

cnf(c_0_2823_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2823]) ).

cnf(c_0_2823_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2823]) ).

cnf(c_0_2827_0,axiom,
    ( c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2827]) ).

cnf(c_0_2827_1,axiom,
    ( ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2827]) ).

cnf(c_0_2827_2,axiom,
    ( ~ c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2827]) ).

cnf(c_0_2828_0,axiom,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | sk1_esk33_3(X3,X2,X1) != sk1_esk32_3(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2828]) ).

cnf(c_0_2828_1,axiom,
    ( sk1_esk33_3(X3,X2,X1) != sk1_esk32_3(X3,X2,X1)
    | c_Relation_Osingle__valued(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2828]) ).

cnf(c_0_2829_0,axiom,
    ( c_Relation_Osingle__valued(X1,X2,X3)
    | sk1_esk30_3(X3,X2,X1) != sk1_esk29_3(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2829]) ).

cnf(c_0_2829_1,axiom,
    ( sk1_esk30_3(X3,X2,X1) != sk1_esk29_3(X3,X2,X1)
    | c_Relation_Osingle__valued(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2829]) ).

cnf(c_0_2830_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | sk1_esk13_3(X3,X2,X1) != sk1_esk14_3(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2830]) ).

cnf(c_0_2830_1,axiom,
    ( sk1_esk13_3(X3,X2,X1) != sk1_esk14_3(X3,X2,X1)
    | c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2830]) ).

cnf(c_0_2832_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2832]) ).

cnf(c_0_2832_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2832]) ).

cnf(c_0_2833_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2833]) ).

cnf(c_0_2833_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2833]) ).

cnf(c_0_2834_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2834]) ).

cnf(c_0_2834_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2834]) ).

cnf(c_0_2835_0,axiom,
    ( c_member(X1,X2,X3)
    | c_member(X1,X2,X4)
    | c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,X2,X4)
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2835]) ).

cnf(c_0_2835_1,axiom,
    ( c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,X2,X4)
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2835]) ).

cnf(c_0_2835_2,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,X2,X4)
    | c_member(X1,X2,X4)
    | c_member(X1,X2,X3)
    | X3 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2835]) ).

cnf(c_0_2835_3,axiom,
    ( X3 != X4
    | c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,X2,X4)
    | c_member(X1,X2,X4)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2835]) ).

cnf(c_0_2836_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2836]) ).

cnf(c_0_2836_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2836]) ).

cnf(c_0_2836_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2836]) ).

cnf(c_0_2837_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | c_member(X1,sk1_esk13_3(X3,X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2837]) ).

cnf(c_0_2837_1,axiom,
    ( c_member(X1,sk1_esk13_3(X3,X2,X1),X2)
    | c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2837]) ).

cnf(c_0_2838_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | c_member(X1,sk1_esk14_3(X3,X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2838]) ).

cnf(c_0_2838_1,axiom,
    ( c_member(X1,sk1_esk14_3(X3,X2,X1),X2)
    | c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2838]) ).

cnf(c_0_2840_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2840]) ).

cnf(c_0_2840_1,axiom,
    ( ~ class_Orderings_Oord(X1)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2840]) ).

cnf(c_0_2840_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
    | ~ class_Orderings_Oord(X1)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2840]) ).

cnf(c_0_2841_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool))
    | c_Relation_ORange(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2841]) ).

cnf(c_0_2841_1,axiom,
    ( c_Relation_ORange(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2841]) ).

cnf(c_0_2842_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool))
    | c_Relation_ODomain(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2842]) ).

cnf(c_0_2842_1,axiom,
    ( c_Relation_ODomain(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2842]) ).

cnf(c_0_2843_0,axiom,
    ( c_Relation_ORange(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2843]) ).

cnf(c_0_2843_1,axiom,
    ( X3 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))
    | c_Relation_ORange(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2843]) ).

cnf(c_0_2844_0,axiom,
    ( c_Relation_ODomain(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2844]) ).

cnf(c_0_2844_1,axiom,
    ( X3 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))
    | c_Relation_ODomain(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2844]) ).

cnf(c_0_2846_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2846]) ).

cnf(c_0_2846_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2846]) ).

cnf(c_0_2846_2,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2846]) ).

cnf(c_0_2846_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2846]) ).

cnf(c_0_2847_0,axiom,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2847]) ).

cnf(c_0_2847_1,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2847]) ).

cnf(c_0_2847_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2847]) ).

cnf(c_0_2848_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2848]) ).

cnf(c_0_2848_1,axiom,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2848]) ).

cnf(c_0_2848_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2848]) ).

cnf(c_0_2849_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2849]) ).

cnf(c_0_2849_1,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != X3
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2849]) ).

cnf(c_0_2850_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2850]) ).

cnf(c_0_2850_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2850]) ).

cnf(c_0_2851_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2851]) ).

cnf(c_0_2851_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2851]) ).

cnf(c_0_2852_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2852]) ).

cnf(c_0_2852_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2)
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2852]) ).

cnf(c_0_2853_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2853]) ).

cnf(c_0_2853_1,axiom,
    ( ~ hBOOL(hAPP(X3,X2))
    | hBOOL(hAPP(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2853]) ).

cnf(c_0_2853_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1)
    | ~ hBOOL(hAPP(X3,X2))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2853]) ).

cnf(c_0_2854_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2854]) ).

cnf(c_0_2854_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2854]) ).

cnf(c_0_2854_2,axiom,
    ( ~ hBOOL(hAPP(X4,X2))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2854]) ).

cnf(c_0_2855_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2855]) ).

cnf(c_0_2855_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2855]) ).

cnf(c_0_2856_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2856]) ).

cnf(c_0_2856_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2856]) ).

cnf(c_0_2857_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2857]) ).

cnf(c_0_2857_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2857]) ).

cnf(c_0_2859_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2859]) ).

cnf(c_0_2859_1,axiom,
    ( X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2859]) ).

cnf(c_0_2859_2,axiom,
    ( X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2859]) ).

cnf(c_0_2860_0,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2860]) ).

cnf(c_0_2860_1,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2860]) ).

cnf(c_0_2861_0,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2861]) ).

cnf(c_0_2861_1,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2861]) ).

cnf(c_0_2862_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2862]) ).

cnf(c_0_2862_1,axiom,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2862]) ).

cnf(c_0_2862_2,axiom,
    ( hBOOL(hAPP(hAPP(X3,X2),X1))
    | X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2862]) ).

cnf(c_0_2862_3,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | hBOOL(hAPP(hAPP(X3,X2),X1))
    | X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2862]) ).

cnf(c_0_2863_0,axiom,
    ( c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Oirrefl(X1,X3)
    | ~ c_Relation_Otrans(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2863]) ).

cnf(c_0_2863_1,axiom,
    ( ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)
    | ~ c_Relation_Oirrefl(X1,X3)
    | ~ c_Relation_Otrans(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2863]) ).

cnf(c_0_2863_2,axiom,
    ( ~ c_Relation_Oirrefl(X1,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)
    | ~ c_Relation_Otrans(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2863]) ).

cnf(c_0_2863_3,axiom,
    ( ~ c_Relation_Otrans(X1,X3)
    | ~ c_Relation_Oirrefl(X1,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2863]) ).

cnf(c_0_2865_0,axiom,
    ( X4 = X5
    | ~ class_Groups_Oab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2865]) ).

cnf(c_0_2865_1,axiom,
    ( ~ class_Groups_Oab__group__add(X1)
    | X4 = X5
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2865]) ).

cnf(c_0_2865_2,axiom,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X4 = X5
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2865]) ).

cnf(c_0_2865_3,axiom,
    ( X2 != X3
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X4 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2865]) ).

cnf(c_0_2866_0,axiom,
    ( X2 = X3
    | ~ class_Groups_Oab__group__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | X4 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2866]) ).

cnf(c_0_2866_1,axiom,
    ( ~ class_Groups_Oab__group__add(X1)
    | X2 = X3
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | X4 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2866]) ).

cnf(c_0_2866_2,axiom,
    ( c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X2 = X3
    | X4 != X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2866]) ).

cnf(c_0_2866_3,axiom,
    ( X4 != X5
    | c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ominus__class_Ominus(X1,X4,X5)
    | ~ class_Groups_Oab__group__add(X1)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2866]) ).

cnf(c_0_2867_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2867]) ).

cnf(c_0_2867_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2867]) ).

cnf(c_0_2867_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2867]) ).

cnf(c_0_2867_3,axiom,
    ( X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2867]) ).

cnf(c_0_2868_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,sk1_esk79_2(X2,X1),c_Wellfounded_Oacc(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2868]) ).

cnf(c_0_2868_1,axiom,
    ( ~ c_member(X1,sk1_esk79_2(X2,X1),c_Wellfounded_Oacc(X1,X2))
    | c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2868]) ).

cnf(c_0_2869_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_member(X1,sk1_esk71_2(X2,X1),c_Wellfounded_Oacc(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2869]) ).

cnf(c_0_2869_1,axiom,
    ( ~ c_member(X1,sk1_esk71_2(X2,X1),c_Wellfounded_Oacc(X1,X2))
    | c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2869]) ).

cnf(c_0_2870_0,axiom,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2870]) ).

cnf(c_0_2870_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2870]) ).

cnf(c_0_2870_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2870]) ).

cnf(c_0_2870_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2870]) ).

cnf(c_0_2871_0,axiom,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2871]) ).

cnf(c_0_2871_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2871]) ).

cnf(c_0_2871_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2871]) ).

cnf(c_0_2871_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2871]) ).

cnf(c_0_2872_0,axiom,
    ( X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2872]) ).

cnf(c_0_2872_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | X3 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2872]) ).

cnf(c_0_2872_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X3 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2872]) ).

cnf(c_0_2872_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X3 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2872]) ).

cnf(c_0_2873_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2873]) ).

cnf(c_0_2873_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2873]) ).

cnf(c_0_2873_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2873]) ).

cnf(c_0_2873_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2873]) ).

cnf(c_0_2874_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2874]) ).

cnf(c_0_2874_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2874]) ).

cnf(c_0_2874_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2874]) ).

cnf(c_0_2875_0,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2875]) ).

cnf(c_0_2875_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2875]) ).

cnf(c_0_2875_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2875]) ).

cnf(c_0_2876_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2876]) ).

cnf(c_0_2876_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2876]) ).

cnf(c_0_2876_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2876]) ).

cnf(c_0_2877_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2877]) ).

cnf(c_0_2877_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2877]) ).

cnf(c_0_2877_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2877]) ).

cnf(c_0_2878_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2878]) ).

cnf(c_0_2878_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2878]) ).

cnf(c_0_2878_2,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2878]) ).

cnf(c_0_2879_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2879]) ).

cnf(c_0_2879_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2879]) ).

cnf(c_0_2879_2,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2879]) ).

cnf(c_0_2880_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2880]) ).

cnf(c_0_2880_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2880]) ).

cnf(c_0_2880_2,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2880]) ).

cnf(c_0_2881_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2881]) ).

cnf(c_0_2881_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2881]) ).

cnf(c_0_2881_2,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2881]) ).

cnf(c_0_2882_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2882]) ).

cnf(c_0_2882_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2882]) ).

cnf(c_0_2882_2,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2882]) ).

cnf(c_0_2883_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2883]) ).

cnf(c_0_2883_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2883]) ).

cnf(c_0_2883_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2883]) ).

cnf(c_0_2886_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))
    | X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2886]) ).

cnf(c_0_2886_1,axiom,
    ( X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) ),
    inference(literals_permutation,[status(thm)],[c_0_2886]) ).

cnf(c_0_2890_0,axiom,
    ( X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2890]) ).

cnf(c_0_2890_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2890]) ).

cnf(c_0_2890_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2890]) ).

cnf(c_0_2891_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2891]) ).

cnf(c_0_2891_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2891]) ).

cnf(c_0_2892_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2892]) ).

cnf(c_0_2892_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2892]) ).

cnf(c_0_2893_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2893]) ).

cnf(c_0_2893_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2893]) ).

cnf(c_0_2894_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2))
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2894]) ).

cnf(c_0_2894_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2894]) ).

cnf(c_0_2897_0,axiom,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2897]) ).

cnf(c_0_2897_1,axiom,
    ( X2 != X3
    | c_member(X1,X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2897]) ).

cnf(c_0_2898_0,axiom,
    ( c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2898]) ).

cnf(c_0_2898_1,axiom,
    ( X2 != X3
    | c_member(X1,X2,c_Set_Oinsert(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2898]) ).

cnf(c_0_2899_0,axiom,
    ( c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | ~ c_Relation_Oantisym(X1,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2899]) ).

cnf(c_0_2899_1,axiom,
    ( ~ c_Relation_Oantisym(X1,X3)
    | c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2899]) ).

cnf(c_0_2899_2,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,X2,X3)
    | ~ c_Relation_Oantisym(X1,X3)
    | c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2899]) ).

cnf(c_0_2900_0,axiom,
    ( c_Order__Relation_Opreorder__on(X1,X2,X3)
    | ~ c_Relation_Otrans(X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2900]) ).

cnf(c_0_2900_1,axiom,
    ( ~ c_Relation_Otrans(X1,X3)
    | c_Order__Relation_Opreorder__on(X1,X2,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2900]) ).

cnf(c_0_2900_2,axiom,
    ( ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Relation_Otrans(X1,X3)
    | c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2900]) ).

cnf(c_0_2905_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X4 != X2
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2905]) ).

cnf(c_0_2905_1,axiom,
    ( X4 != X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2905]) ).

cnf(c_0_2905_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | X4 != X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2905]) ).

cnf(c_0_2905_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | X4 != X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2905]) ).

cnf(c_0_2906_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X4 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2906]) ).

cnf(c_0_2906_1,axiom,
    ( X4 != X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2906]) ).

cnf(c_0_2906_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | X4 != X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2906]) ).

cnf(c_0_2906_3,axiom,
    ( ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | X4 != X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2906]) ).

cnf(c_0_2907_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | X3 != X4
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2907]) ).

cnf(c_0_2907_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 != X4
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2907]) ).

cnf(c_0_2907_2,axiom,
    ( X3 != X4
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2907]) ).

cnf(c_0_2907_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | X3 != X4
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2907]) ).

cnf(c_0_2908_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | X2 != X4
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2908]) ).

cnf(c_0_2908_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X4
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2908]) ).

cnf(c_0_2908_2,axiom,
    ( X2 != X4
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2908]) ).

cnf(c_0_2908_3,axiom,
    ( ~ class_Orderings_Oord(X1)
    | X2 != X4
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2908]) ).

cnf(c_0_2909_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2909]) ).

cnf(c_0_2909_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2909]) ).

cnf(c_0_2909_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2909]) ).

cnf(c_0_2909_3,axiom,
    ( X3 != X2
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2909]) ).

cnf(c_0_2910_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X4 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2910]) ).

cnf(c_0_2910_1,axiom,
    ( X4 != X2
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2910]) ).

cnf(c_0_2910_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | X4 != X2
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2910]) ).

cnf(c_0_2910_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | X4 != X2
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2910]) ).

cnf(c_0_2911_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X4 != X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2911]) ).

cnf(c_0_2911_1,axiom,
    ( X4 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2911]) ).

cnf(c_0_2911_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | X4 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2911]) ).

cnf(c_0_2911_3,axiom,
    ( ~ class_Orderings_Oord(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | X4 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2911]) ).

cnf(c_0_2912_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | X3 != X4
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2912]) ).

cnf(c_0_2912_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 != X4
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2912]) ).

cnf(c_0_2912_2,axiom,
    ( X3 != X4
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2912]) ).

cnf(c_0_2912_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | X3 != X4
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2912]) ).

cnf(c_0_2913_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | X2 != X4
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2913]) ).

cnf(c_0_2913_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 != X4
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2913]) ).

cnf(c_0_2913_2,axiom,
    ( X2 != X4
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2913]) ).

cnf(c_0_2913_3,axiom,
    ( ~ class_Orderings_Oord(X1)
    | X2 != X4
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2913]) ).

cnf(c_0_2914_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2914]) ).

cnf(c_0_2914_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2914]) ).

cnf(c_0_2914_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2914]) ).

cnf(c_0_2914_3,axiom,
    ( X3 != X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2914]) ).

cnf(c_0_2915_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2915]) ).

cnf(c_0_2915_1,axiom,
    ( X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2915]) ).

cnf(c_0_2915_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2915]) ).

cnf(c_0_2915_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2915]) ).

cnf(c_0_2916_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2916]) ).

cnf(c_0_2916_1,axiom,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2916]) ).

cnf(c_0_2916_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2916]) ).

cnf(c_0_2916_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2916]) ).

cnf(c_0_2917_0,axiom,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2917]) ).

cnf(c_0_2917_1,axiom,
    ( c_Orderings_Oord__class_Oless(X3,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2917]) ).

cnf(c_0_2917_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | c_Orderings_Oord__class_Oless(X3,X1,X2)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2917]) ).

cnf(c_0_2917_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
    | c_Orderings_Oord__class_Oless(X3,X1,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2917]) ).

cnf(c_0_2918_0,axiom,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2918]) ).

cnf(c_0_2918_1,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2918]) ).

cnf(c_0_2918_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2918]) ).

cnf(c_0_2918_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2918]) ).

cnf(c_0_2919_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2919]) ).

cnf(c_0_2919_1,axiom,
    ( X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2919]) ).

cnf(c_0_2919_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2919]) ).

cnf(c_0_2919_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2919]) ).

cnf(c_0_2920_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2920]) ).

cnf(c_0_2920_1,axiom,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2920]) ).

cnf(c_0_2920_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2920]) ).

cnf(c_0_2920_3,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2920]) ).

cnf(c_0_2921_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2921]) ).

cnf(c_0_2921_1,axiom,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2921]) ).

cnf(c_0_2921_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2921]) ).

cnf(c_0_2921_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2921]) ).

cnf(c_0_2922_0,axiom,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2922]) ).

cnf(c_0_2922_1,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2922]) ).

cnf(c_0_2922_2,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2922]) ).

cnf(c_0_2922_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2922]) ).

cnf(c_0_2923_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2923]) ).

cnf(c_0_2923_1,axiom,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2923]) ).

cnf(c_0_2923_2,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2923]) ).

cnf(c_0_2923_3,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2923]) ).

cnf(c_0_2924_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2924]) ).

cnf(c_0_2924_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2924]) ).

cnf(c_0_2924_2,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != X3
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2924]) ).

cnf(c_0_2925_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3
    | ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2925]) ).

cnf(c_0_2925_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2925]) ).

cnf(c_0_2925_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2925]) ).

cnf(c_0_2926_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2926]) ).

cnf(c_0_2926_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2926]) ).

cnf(c_0_2926_2,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2926]) ).

cnf(c_0_2927_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X2
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2927]) ).

cnf(c_0_2927_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X2
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2927]) ).

cnf(c_0_2927_2,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2927]) ).

cnf(c_0_2928_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2928]) ).

cnf(c_0_2928_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2928]) ).

cnf(c_0_2928_2,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2928]) ).

cnf(c_0_2929_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2929]) ).

cnf(c_0_2929_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2929]) ).

cnf(c_0_2929_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2929]) ).

cnf(c_0_2930_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2930]) ).

cnf(c_0_2930_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2930]) ).

cnf(c_0_2930_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2930]) ).

cnf(c_0_2931_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2931]) ).

cnf(c_0_2931_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2931]) ).

cnf(c_0_2931_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2931]) ).

cnf(c_0_2933_0,axiom,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2933]) ).

cnf(c_0_2933_1,axiom,
    ( X1 != X2
    | c_member(X3,X4,X2)
    | ~ c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2933]) ).

cnf(c_0_2933_2,axiom,
    ( ~ c_member(X3,X4,X1)
    | X1 != X2
    | c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2933]) ).

cnf(c_0_2934_0,axiom,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2934]) ).

cnf(c_0_2934_1,axiom,
    ( X1 != X2
    | c_member(X3,X4,X1)
    | ~ c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2934]) ).

cnf(c_0_2934_2,axiom,
    ( ~ c_member(X3,X4,X2)
    | X1 != X2
    | c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2934]) ).

cnf(c_0_2935_0,axiom,
    ( c_member(X3,X2,X4)
    | X1 != X2
    | ~ c_member(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2935]) ).

cnf(c_0_2935_1,axiom,
    ( X1 != X2
    | c_member(X3,X2,X4)
    | ~ c_member(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2935]) ).

cnf(c_0_2935_2,axiom,
    ( ~ c_member(X3,X1,X4)
    | X1 != X2
    | c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2935]) ).

cnf(c_0_2936_0,axiom,
    ( c_member(X3,X1,X4)
    | X1 != X2
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2936]) ).

cnf(c_0_2936_1,axiom,
    ( X1 != X2
    | c_member(X3,X1,X4)
    | ~ c_member(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2936]) ).

cnf(c_0_2936_2,axiom,
    ( ~ c_member(X3,X2,X4)
    | X1 != X2
    | c_member(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2936]) ).

cnf(c_0_2937_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ c_member(X1,X4,X3)
    | X2 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2937]) ).

cnf(c_0_2937_1,axiom,
    ( ~ c_member(X1,X4,X3)
    | c_member(X1,X2,X3)
    | X2 != X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2937]) ).

cnf(c_0_2937_2,axiom,
    ( X2 != X4
    | ~ c_member(X1,X4,X3)
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2937]) ).

cnf(c_0_2938_0,axiom,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2938]) ).

cnf(c_0_2938_1,axiom,
    ( X1 != X2
    | c_member(X3,X4,X1)
    | ~ c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2938]) ).

cnf(c_0_2938_2,axiom,
    ( ~ c_member(X3,X4,X1)
    | X1 != X2
    | c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2938]) ).

cnf(c_0_2939_0,axiom,
    ( c_member(X3,X4,X1)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2939]) ).

cnf(c_0_2939_1,axiom,
    ( X1 != X2
    | c_member(X3,X4,X1)
    | ~ c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2939]) ).

cnf(c_0_2939_2,axiom,
    ( ~ c_member(X3,X4,X2)
    | X1 != X2
    | c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2939]) ).

cnf(c_0_2940_0,axiom,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2940]) ).

cnf(c_0_2940_1,axiom,
    ( X1 != X2
    | c_member(X3,X4,X2)
    | ~ c_member(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2940]) ).

cnf(c_0_2940_2,axiom,
    ( ~ c_member(X3,X4,X1)
    | X1 != X2
    | c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2940]) ).

cnf(c_0_2941_0,axiom,
    ( c_member(X3,X4,X2)
    | X1 != X2
    | ~ c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2941]) ).

cnf(c_0_2941_1,axiom,
    ( X1 != X2
    | c_member(X3,X4,X2)
    | ~ c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2941]) ).

cnf(c_0_2941_2,axiom,
    ( ~ c_member(X3,X4,X2)
    | X1 != X2
    | c_member(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2941]) ).

cnf(c_0_2942_0,axiom,
    ( c_Wellfounded_Owf(X1,c_Wellfounded_Omlex__prod(X1,X2,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2942]) ).

cnf(c_0_2942_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | c_Wellfounded_Owf(X1,c_Wellfounded_Omlex__prod(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2942]) ).

cnf(c_0_2943_0,axiom,
    ( c_Wellfounded_OwfP(X1,c_FunDef_Oin__rel(X1,X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2943]) ).

cnf(c_0_2943_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | c_Wellfounded_OwfP(X1,c_FunDef_Oin__rel(X1,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2943]) ).

cnf(c_0_2944_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X3
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2944]) ).

cnf(c_0_2944_1,axiom,
    ( ~ c_member(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2944]) ).

cnf(c_0_2945_0,axiom,
    ( c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Owell__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2945]) ).

cnf(c_0_2945_1,axiom,
    ( ~ c_Order__Relation_Owell__order__on(X1,X2,X3)
    | c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2945]) ).

cnf(c_0_2946_0,axiom,
    ( c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2946]) ).

cnf(c_0_2946_1,axiom,
    ( ~ c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2946]) ).

cnf(c_0_2947_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Olinear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2947]) ).

cnf(c_0_2947_1,axiom,
    ( ~ c_Order__Relation_Olinear__order__on(X1,X2,X3)
    | c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2947]) ).

cnf(c_0_2948_0,axiom,
    ( c_Order__Relation_Opreorder__on(X1,X2,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2948]) ).

cnf(c_0_2948_1,axiom,
    ( ~ c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2948]) ).

cnf(c_0_2949_0,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2949]) ).

cnf(c_0_2949_1,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,X2,X3)
    | c_Relation_Orefl__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2949]) ).

cnf(c_0_2950_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2950]) ).

cnf(c_0_2950_1,axiom,
    ( ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)
    | c_Relation_Ototal__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2950]) ).

cnf(c_0_2951_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2951]) ).

cnf(c_0_2951_1,axiom,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2951]) ).

cnf(c_0_2951_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2951]) ).

cnf(c_0_2952_0,axiom,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2952]) ).

cnf(c_0_2952_1,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2952]) ).

cnf(c_0_2952_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2952]) ).

cnf(c_0_2953_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2953]) ).

cnf(c_0_2953_1,axiom,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2953]) ).

cnf(c_0_2953_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 = X2
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2953]) ).

cnf(c_0_2954_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2954]) ).

cnf(c_0_2954_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2954]) ).

cnf(c_0_2955_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2955]) ).

cnf(c_0_2955_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2955]) ).

cnf(c_0_2956_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2956]) ).

cnf(c_0_2956_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2956]) ).

cnf(c_0_2957_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2957]) ).

cnf(c_0_2957_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2957]) ).

cnf(c_0_2958_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2958]) ).

cnf(c_0_2958_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2958]) ).

cnf(c_0_2961_0,axiom,
    ( ~ c_member(X1,X2,X3)
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2961]) ).

cnf(c_0_2961_1,axiom,
    ( X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2961]) ).

cnf(c_0_2962_0,axiom,
    ( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | ~ c_member(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2962]) ).

cnf(c_0_2962_1,axiom,
    ( ~ c_member(X2,X3,X1)
    | X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2962]) ).

cnf(c_0_2963_0,axiom,
    ( ~ c_member(X1,X2,X3)
    | X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2963]) ).

cnf(c_0_2963_1,axiom,
    ( X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | ~ c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2963]) ).

cnf(c_0_2970_0,axiom,
    ( X1 = X2
    | hAPP(X1,sk1_esk1_2(X2,X1)) != hAPP(X2,sk1_esk1_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2970]) ).

cnf(c_0_2970_1,axiom,
    ( hAPP(X1,sk1_esk1_2(X2,X1)) != hAPP(X2,sk1_esk1_2(X2,X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2970]) ).

cnf(c_0_2971_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2971]) ).

cnf(c_0_2971_1,axiom,
    ( X2 != X3
    | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2971]) ).

cnf(c_0_2972_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_member(X1,sk1_esk74_2(X2,X1),sk1_esk73_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2972]) ).

cnf(c_0_2972_1,axiom,
    ( c_member(X1,sk1_esk74_2(X2,X1),sk1_esk73_2(X2,X1))
    | c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2972]) ).

cnf(c_0_2973_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2973]) ).

cnf(c_0_2973_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2973]) ).

cnf(c_0_2973_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2973]) ).

cnf(c_0_2973_3,axiom,
    ( X2 != X3
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2973]) ).

cnf(c_0_2974_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2974]) ).

cnf(c_0_2974_1,axiom,
    ( X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2974]) ).

cnf(c_0_2974_2,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2974]) ).

cnf(c_0_2974_3,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2974]) ).

cnf(c_0_2975_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2975]) ).

cnf(c_0_2975_1,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2975]) ).

cnf(c_0_2975_2,axiom,
    ( X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2975]) ).

cnf(c_0_2975_3,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2975]) ).

cnf(c_0_2976_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2976]) ).

cnf(c_0_2976_1,axiom,
    ( X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2976]) ).

cnf(c_0_2976_2,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2976]) ).

cnf(c_0_2976_3,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2976]) ).

cnf(c_0_2977_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2977]) ).

cnf(c_0_2977_1,axiom,
    ( X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2977]) ).

cnf(c_0_2977_2,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2977]) ).

cnf(c_0_2977_3,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2977]) ).

cnf(c_0_2978_0,axiom,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2978]) ).

cnf(c_0_2978_1,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2978]) ).

cnf(c_0_2978_2,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X2 = X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2978]) ).

cnf(c_0_2978_3,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2978]) ).

cnf(c_0_2979_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2979]) ).

cnf(c_0_2979_1,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2979]) ).

cnf(c_0_2979_2,axiom,
    ( X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2979]) ).

cnf(c_0_2979_3,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | X3 = X2
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2979]) ).

cnf(c_0_2980_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2980]) ).

cnf(c_0_2980_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2980]) ).

cnf(c_0_2980_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2980]) ).

cnf(c_0_2981_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2981]) ).

cnf(c_0_2981_1,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2981]) ).

cnf(c_0_2981_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2981]) ).

cnf(c_0_2982_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2982]) ).

cnf(c_0_2982_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2982]) ).

cnf(c_0_2982_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2982]) ).

cnf(c_0_2983_0,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2983]) ).

cnf(c_0_2983_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2983]) ).

cnf(c_0_2983_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2983]) ).

cnf(c_0_2984_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2984]) ).

cnf(c_0_2984_1,axiom,
    ( c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2984]) ).

cnf(c_0_2984_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2984]) ).

cnf(c_0_2985_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2985]) ).

cnf(c_0_2985_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2985]) ).

cnf(c_0_2985_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2985]) ).

cnf(c_0_2986_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2986]) ).

cnf(c_0_2986_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2986]) ).

cnf(c_0_2986_2,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2986]) ).

cnf(c_0_2987_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2987]) ).

cnf(c_0_2987_1,axiom,
    ( ~ c_member(X3,X2,X1)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2987]) ).

cnf(c_0_2988_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2988]) ).

cnf(c_0_2988_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2988]) ).

cnf(c_0_2989_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2989]) ).

cnf(c_0_2989_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2989]) ).

cnf(c_0_2990_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2990]) ).

cnf(c_0_2990_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2990]) ).

cnf(c_0_2991_0,axiom,
    ( c_member(X1,sk1_esk82_2(X2,X1),X2)
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2991]) ).

cnf(c_0_2991_1,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    | c_member(X1,sk1_esk82_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2991]) ).

cnf(c_0_2992_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | c_member(X2,sk1_esk81_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2992]) ).

cnf(c_0_2992_1,axiom,
    ( c_member(X2,sk1_esk81_2(X1,X2),X1)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2992]) ).

cnf(c_0_2993_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2993]) ).

cnf(c_0_2993_1,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2993]) ).

cnf(c_0_2993_2,axiom,
    ( X2 = X1
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2993]) ).

cnf(c_0_2994_0,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2994]) ).

cnf(c_0_2994_1,axiom,
    ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2994]) ).

cnf(c_0_2994_2,axiom,
    ( X2 = X1
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2994]) ).

cnf(c_0_2996_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2996]) ).

cnf(c_0_2996_1,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2996]) ).

cnf(c_0_2997_0,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2997]) ).

cnf(c_0_2997_1,axiom,
    ( ~ class_Lattices_Obounded__lattice__bot(X1)
    | X2 = c_Orderings_Obot__class_Obot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2997]) ).

cnf(c_0_2997_2,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | X2 = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2997]) ).

cnf(c_0_2998_0,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2998]) ).

cnf(c_0_2998_1,axiom,
    ( ~ class_Lattices_Obounded__lattice__bot(X1)
    | X3 = c_Orderings_Obot__class_Obot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2998]) ).

cnf(c_0_2998_2,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) != c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | X3 = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2998]) ).

cnf(c_0_3000_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3000]) ).

cnf(c_0_3000_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_3000]) ).

cnf(c_0_3001_0,axiom,
    ( c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))
    | ~ c_Wellfounded_Owf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3001]) ).

cnf(c_0_3001_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X3)
    | c_member(X1,X2,c_Wellfounded_Oacc(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_3001]) ).

cnf(c_0_3002_0,axiom,
    ( c_member(X1,X2,X3)
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3002]) ).

cnf(c_0_3002_1,axiom,
    ( ~ hBOOL(hAPP(X3,X2))
    | c_member(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3002]) ).

cnf(c_0_3003_0,axiom,
    ( c_Relation_Oantisym(X1,X3)
    | ~ c_Order__Relation_Opartial__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3003]) ).

cnf(c_0_3003_1,axiom,
    ( ~ c_Order__Relation_Opartial__order__on(X1,X2,X3)
    | c_Relation_Oantisym(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3003]) ).

cnf(c_0_3004_0,axiom,
    ( c_Relation_Otrans(X1,X3)
    | ~ c_Order__Relation_Opreorder__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3004]) ).

cnf(c_0_3004_1,axiom,
    ( ~ c_Order__Relation_Opreorder__on(X1,X2,X3)
    | c_Relation_Otrans(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3004]) ).

cnf(c_0_3005_0,axiom,
    ( c_Relation_Otrans(X1,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3005]) ).

cnf(c_0_3005_1,axiom,
    ( ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)
    | c_Relation_Otrans(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3005]) ).

cnf(c_0_3006_0,axiom,
    ( c_Relation_Oirrefl(X1,X3)
    | ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3006]) ).

cnf(c_0_3006_1,axiom,
    ( ~ c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)
    | c_Relation_Oirrefl(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3006]) ).

cnf(c_0_3007_0,axiom,
    ( X1 = X2
    | ~ c_member(X3,X1,c_fequal(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3007]) ).

cnf(c_0_3007_1,axiom,
    ( ~ c_member(X3,X1,c_fequal(X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3007]) ).

cnf(c_0_3008_0,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3008]) ).

cnf(c_0_3008_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3008]) ).

cnf(c_0_3008_2,axiom,
    ( X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3008]) ).

cnf(c_0_3009_0,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3009]) ).

cnf(c_0_3009_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
    | X1 != X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3009]) ).

cnf(c_0_3009_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3009]) ).

cnf(c_0_3010_0,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3010]) ).

cnf(c_0_3010_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | X1 != X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3010]) ).

cnf(c_0_3010_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3010]) ).

cnf(c_0_3011_0,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3011]) ).

cnf(c_0_3011_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | X1 != X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3011]) ).

cnf(c_0_3011_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3011]) ).

cnf(c_0_3012_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3012]) ).

cnf(c_0_3012_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3012]) ).

cnf(c_0_3012_2,axiom,
    ( X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3012]) ).

cnf(c_0_3013_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3013]) ).

cnf(c_0_3013_1,axiom,
    ( X2 != X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3013]) ).

cnf(c_0_3013_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3013]) ).

cnf(c_0_3014_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | X2 != X3
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3014]) ).

cnf(c_0_3014_1,axiom,
    ( X2 != X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3014]) ).

cnf(c_0_3014_2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
    | X2 != X3
    | ~ class_Orderings_Olinorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3014]) ).

cnf(c_0_3015_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(X1,X2,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3015]) ).

cnf(c_0_3015_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3015]) ).

cnf(c_0_3016_0,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3016]) ).

cnf(c_0_3016_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3016]) ).

cnf(c_0_3017_0,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3017]) ).

cnf(c_0_3017_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3017]) ).

cnf(c_0_3018_0,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3018]) ).

cnf(c_0_3018_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3018]) ).

cnf(c_0_3019_0,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3019]) ).

cnf(c_0_3019_1,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3019]) ).

cnf(c_0_3020_0,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3020]) ).

cnf(c_0_3020_1,axiom,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3020]) ).

cnf(c_0_3021_0,axiom,
    ( c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omin__ext(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3021]) ).

cnf(c_0_3021_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omin__ext(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3021]) ).

cnf(c_0_3022_0,axiom,
    ( c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omax__ext(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3022]) ).

cnf(c_0_3022_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | c_Wellfounded_Owf(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Omax__ext(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3022]) ).

cnf(c_0_3025_0,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X3) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Orderings_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3025]) ).

cnf(c_0_3025_1,axiom,
    ( ~ class_Orderings_Obot(X2)
    | hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X3) = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3025]) ).

cnf(c_0_3026_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | X3 != c_Orderings_Obot__class_Obot(X1)
    | X2 != c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3026]) ).

cnf(c_0_3026_1,axiom,
    ( ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Orderings_Obot__class_Obot(X1)
    | X3 != c_Orderings_Obot__class_Obot(X1)
    | X2 != c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3026]) ).

cnf(c_0_3026_2,axiom,
    ( X3 != c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Orderings_Obot__class_Obot(X1)
    | X2 != c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3026]) ).

cnf(c_0_3026_3,axiom,
    ( X2 != c_Orderings_Obot__class_Obot(X1)
    | X3 != c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3026]) ).

cnf(c_0_3029_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3029]) ).

cnf(c_0_3029_1,axiom,
    ( X2 != X3
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3029]) ).

cnf(c_0_3030_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3030]) ).

cnf(c_0_3030_1,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3030]) ).

cnf(c_0_3031_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3031]) ).

cnf(c_0_3031_1,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3031]) ).

cnf(c_0_3032_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3032]) ).

cnf(c_0_3032_1,axiom,
    ( X3 != X2
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3032]) ).

cnf(c_0_3033_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3033]) ).

cnf(c_0_3033_1,axiom,
    ( X2 != X3
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3033]) ).

cnf(c_0_3034_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3034]) ).

cnf(c_0_3034_1,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3034]) ).

cnf(c_0_3035_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3035]) ).

cnf(c_0_3035_1,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3035]) ).

cnf(c_0_3040_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_fequal(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3040]) ).

cnf(c_0_3040_1,axiom,
    ( ~ hBOOL(hAPP(c_fequal(X1),X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3040]) ).

cnf(c_0_3041_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,c_Orderings_Obot__class_Obot(X1),X2) = X2
    | ~ class_Lattices_Obounded__lattice__bot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3041]) ).

cnf(c_0_3041_1,axiom,
    ( ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,c_Orderings_Obot__class_Obot(X1),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3041]) ).

cnf(c_0_3042_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Orderings_Obot__class_Obot(X1)) = X2
    | ~ class_Lattices_Obounded__lattice__bot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3042]) ).

cnf(c_0_3042_1,axiom,
    ( ~ class_Lattices_Obounded__lattice__bot(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Orderings_Obot__class_Obot(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3042]) ).

cnf(c_0_3043_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,c_Orderings_Obot__class_Obot(X1),X2)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3043]) ).

cnf(c_0_3043_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,c_Orderings_Obot__class_Obot(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3043]) ).

cnf(c_0_3044_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3044]) ).

cnf(c_0_3044_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3044]) ).

cnf(c_0_3044_2,axiom,
    ( X2 != X3
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3044]) ).

cnf(c_0_3045_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 != X3
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3045]) ).

cnf(c_0_3045_1,axiom,
    ( X2 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3045]) ).

cnf(c_0_3045_2,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | X2 != X3
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3045]) ).

cnf(c_0_3046_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3046]) ).

cnf(c_0_3046_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3046]) ).

cnf(c_0_3046_2,axiom,
    ( X2 != X3
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3046]) ).

cnf(c_0_3047_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Oorder(X1)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3047]) ).

cnf(c_0_3047_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3047]) ).

cnf(c_0_3047_2,axiom,
    ( X2 != X3
    | ~ class_Orderings_Oorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3047]) ).

cnf(c_0_3048_0,axiom,
    ( c_member(X1,X2,c_fequal(X3))
    | X2 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_3048]) ).

cnf(c_0_3048_1,axiom,
    ( X2 != X3
    | c_member(X1,X2,c_fequal(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_3048]) ).

cnf(c_0_3049_0,axiom,
    ( c_Wellfounded_Owf(X1,c_Transitive__Closure_Otrancl(X1,X2))
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3049]) ).

cnf(c_0_3049_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | c_Wellfounded_Owf(X1,c_Transitive__Closure_Otrancl(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3049]) ).

cnf(c_0_3050_0,axiom,
    ( c_Relation_Oantisym(X1,c_Transitive__Closure_Ortrancl(X1,X2))
    | ~ c_Wellfounded_Oacyclic(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3050]) ).

cnf(c_0_3050_1,axiom,
    ( ~ c_Wellfounded_Oacyclic(X1,X2)
    | c_Relation_Oantisym(X1,c_Transitive__Closure_Ortrancl(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3050]) ).

cnf(c_0_3051_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2) = X2
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3051]) ).

cnf(c_0_3051_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3051]) ).

cnf(c_0_3052_0,axiom,
    ( c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2) = X2
    | ~ class_Lattices_Osemilattice__sup(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3052]) ).

cnf(c_0_3052_1,axiom,
    ( ~ class_Lattices_Osemilattice__sup(X1)
    | c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3052]) ).

cnf(c_0_3053_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X2)
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3053]) ).

cnf(c_0_3053_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3053]) ).

cnf(c_0_3055_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | sk1_esk78_2(X2,X1) != sk1_esk77_2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3055]) ).

cnf(c_0_3055_1,axiom,
    ( sk1_esk78_2(X2,X1) != sk1_esk77_2(X2,X1)
    | c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3055]) ).

cnf(c_0_3056_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | sk1_esk66_2(X2,X1) != sk1_esk65_2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3056]) ).

cnf(c_0_3056_1,axiom,
    ( sk1_esk66_2(X2,X1) != sk1_esk65_2(X2,X1)
    | c_Relation_Oantisym(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3056]) ).

cnf(c_0_3057_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3057]) ).

cnf(c_0_3057_1,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3057]) ).

cnf(c_0_3058_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3058]) ).

cnf(c_0_3058_1,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3058]) ).

cnf(c_0_3059_0,axiom,
    ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3059]) ).

cnf(c_0_3059_1,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3059]) ).

cnf(c_0_3066_0,axiom,
    ( hBOOL(hAPP(c_fequal(X1),X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3066]) ).

cnf(c_0_3066_1,axiom,
    ( X1 != X2
    | hBOOL(hAPP(c_fequal(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3066]) ).

cnf(c_0_3071_0,axiom,
    ( c_Transitive__Closure_Otrancl(X1,X2) = X2
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3071]) ).

cnf(c_0_3071_1,axiom,
    ( ~ c_Relation_Otrans(X1,X2)
    | c_Transitive__Closure_Otrancl(X1,X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3071]) ).

cnf(c_0_3072_0,axiom,
    ( class_Groups_Ominus(tc_fun(X1,X2))
    | ~ class_Groups_Ominus(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3072]) ).

cnf(c_0_3072_1,axiom,
    ( ~ class_Groups_Ominus(X2)
    | class_Groups_Ominus(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3072]) ).

cnf(c_0_3073_0,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3073]) ).

cnf(c_0_3073_1,axiom,
    ( ~ class_Orderings_Obot(X2)
    | class_Orderings_Obot(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3073]) ).

cnf(c_0_3074_0,axiom,
    ( class_Orderings_Oord(tc_fun(X1,X2))
    | ~ class_Orderings_Oord(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3074]) ).

cnf(c_0_3074_1,axiom,
    ( ~ class_Orderings_Oord(X2)
    | class_Orderings_Oord(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3074]) ).

cnf(c_0_3075_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3075]) ).

cnf(c_0_3075_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | class_Orderings_Oorder(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3075]) ).

cnf(c_0_3076_0,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3076]) ).

cnf(c_0_3076_1,axiom,
    ( ~ class_Lattices_Olattice(X2)
    | class_Lattices_Olattice(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3076]) ).

cnf(c_0_3077_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3077]) ).

cnf(c_0_3077_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | class_Orderings_Opreorder(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3077]) ).

cnf(c_0_3078_0,axiom,
    ( class_Lattices_Osemilattice__sup(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3078]) ).

cnf(c_0_3078_1,axiom,
    ( ~ class_Lattices_Olattice(X2)
    | class_Lattices_Osemilattice__sup(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3078]) ).

cnf(c_0_3079_0,axiom,
    ( class_Lattices_Obounded__lattice__bot(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3079]) ).

cnf(c_0_3079_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | class_Lattices_Obounded__lattice__bot(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3079]) ).

cnf(c_0_3080_0,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3080]) ).

cnf(c_0_3080_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | class_Lattices_Obounded__lattice(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3080]) ).

cnf(c_0_3081_0,axiom,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3081]) ).

cnf(c_0_3081_1,axiom,
    ( ~ c_Wellfounded_Owf(X1,X2)
    | c_Wellfounded_Oacyclic(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3081]) ).

cnf(c_0_2845_0,axiom,
    ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2845]) ).

cnf(c_0_2895_0,axiom,
    ~ c_member(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2895]) ).

cnf(c_0_2896_0,axiom,
    ~ c_member(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2896]) ).

cnf(c_0_2968_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_Set_Oinsert(X1,X2,X3),
    inference(literals_permutation,[status(thm)],[c_0_2968]) ).

cnf(c_0_2969_0,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(literals_permutation,[status(thm)],[c_0_2969]) ).

cnf(c_0_3023_0,axiom,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_3023]) ).

cnf(c_0_3024_0,axiom,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_3024]) ).

cnf(c_0_2376_0,axiom,
    hAPP(hAPP(X4,c_Recdef_Ocut(X1,X2,c_Nitpick_Owf__wfrec(X1,X2,X3,X4),X3,X5)),X5) = c_Nitpick_Owf__wfrec_H(X1,X2,X3,X4,X5),
    inference(literals_permutation,[status(thm)],[c_0_2376]) ).

cnf(c_0_2382_0,axiom,
    c_Product__Type_Ocurry(X1,X2,X3,X4,X5,X6) = hAPP(X4,c_Product__Type_OPair(X1,X2,X5,X6)),
    inference(literals_permutation,[status(thm)],[c_0_2382]) ).

cnf(c_0_2388_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) = c_FunDef_Omax__weak,
    inference(literals_permutation,[status(thm)],[c_0_2388]) ).

cnf(c_0_2389_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) = c_FunDef_Omin__weak,
    inference(literals_permutation,[status(thm)],[c_0_2389]) ).

cnf(c_0_2393_0,axiom,
    c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4),
    inference(literals_permutation,[status(thm)],[c_0_2393]) ).

cnf(c_0_2394_0,axiom,
    c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4),
    inference(literals_permutation,[status(thm)],[c_0_2394]) ).

cnf(c_0_2429_0,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)),
    inference(literals_permutation,[status(thm)],[c_0_2429]) ).

cnf(c_0_2430_0,axiom,
    c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)),
    inference(literals_permutation,[status(thm)],[c_0_2430]) ).

cnf(c_0_2437_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_OId(X1),c_Relation_Orel__comp(X1,X1,X1,c_Transitive__Closure_Ortrancl(X1,X2),X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2437]) ).

cnf(c_0_2485_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OField(X1,X4)) = c_Relation_OField(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)),
    inference(literals_permutation,[status(thm)],[c_0_2485]) ).

cnf(c_0_2489_0,axiom,
    c_Product__Type_Ointernal__split(X1,X2,X3,X4,c_Product__Type_OPair(X1,X2,X5,X6)) = hAPP(hAPP(X4,X5),X6),
    inference(literals_permutation,[status(thm)],[c_0_2489]) ).

cnf(c_0_2490_0,axiom,
    c_Product__Type_Oprod_Oprod__rec(X1,X2,X3,X4,c_Product__Type_OPair(X1,X2,X5,X6)) = hAPP(hAPP(X4,X5),X6),
    inference(literals_permutation,[status(thm)],[c_0_2490]) ).

cnf(c_0_2495_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_OImage(X1,X2,X3,X5),c_Relation_OImage(X1,X2,X4,X5)) = c_Relation_OImage(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4),X5),
    inference(literals_permutation,[status(thm)],[c_0_2495]) ).

cnf(c_0_2505_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X1,X2,X3,X5)) = c_Relation_OImage(X1,X2,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5)),
    inference(literals_permutation,[status(thm)],[c_0_2505]) ).

cnf(c_0_2517_0,axiom,
    c_Relation_ORange(X1,X2,c_Set_Oinsert(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)) = c_Set_Oinsert(X2,X4,c_Relation_ORange(X1,X2,X5)),
    inference(literals_permutation,[status(thm)],[c_0_2517]) ).

cnf(c_0_2518_0,axiom,
    c_Relation_ODomain(X1,X2,c_Set_Oinsert(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)) = c_Set_Oinsert(X1,X3,c_Relation_ODomain(X1,X2,X5)),
    inference(literals_permutation,[status(thm)],[c_0_2518]) ).

cnf(c_0_2520_0,axiom,
    c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__weak),
    inference(literals_permutation,[status(thm)],[c_0_2520]) ).

cnf(c_0_2527_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)),c_Relation_ODomain(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4))),
    inference(literals_permutation,[status(thm)],[c_0_2527]) ).

cnf(c_0_2528_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,X3),c_Relation_ORange(X2,X1,X4)),c_Relation_ORange(X2,X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X4))),
    inference(literals_permutation,[status(thm)],[c_0_2528]) ).

cnf(c_0_2553_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))),
    inference(literals_permutation,[status(thm)],[c_0_2553]) ).

cnf(c_0_2577_0,axiom,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2577]) ).

cnf(c_0_2605_0,axiom,
    c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) = c_Set_Oinsert(X1,X2,X3),
    inference(literals_permutation,[status(thm)],[c_0_2605]) ).

cnf(c_0_2608_0,axiom,
    c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))) = c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2608]) ).

cnf(c_0_2616_0,axiom,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X4),c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2616]) ).

cnf(c_0_2617_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X4),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4),
    inference(literals_permutation,[status(thm)],[c_0_2617]) ).

cnf(c_0_2619_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)) = c_Relation_ODomain(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2619]) ).

cnf(c_0_2620_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),c_Relation_ORange(X1,X2,X3),c_Relation_ORange(X1,X2,X4)) = c_Relation_ORange(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2620]) ).

cnf(c_0_2621_0,axiom,
    c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2621]) ).

cnf(c_0_2629_0,axiom,
    c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Relation_OId(X1)),
    inference(literals_permutation,[status(thm)],[c_0_2629]) ).

cnf(c_0_2648_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2648]) ).

cnf(c_0_2649_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2649]) ).

cnf(c_0_2676_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_OField(X1,X2),c_Relation_OField(X1,X3)) = c_Relation_OField(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2676]) ).

cnf(c_0_2681_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4) = c_Set_Oinsert(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2681]) ).

cnf(c_0_2682_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)) = c_Set_Oinsert(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2682]) ).

cnf(c_0_2709_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(literals_permutation,[status(thm)],[c_0_2709]) ).

cnf(c_0_2717_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) = c_FunDef_Opair__leq,
    inference(literals_permutation,[status(thm)],[c_0_2717]) ).

cnf(c_0_2727_0,axiom,
    c_Relation_OImage(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
    inference(literals_permutation,[status(thm)],[c_0_2727]) ).

cnf(c_0_2730_0,axiom,
    c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,X4)) = c_Set_Oinsert(X1,X3,c_Set_Oinsert(X1,X2,X4)),
    inference(literals_permutation,[status(thm)],[c_0_2730]) ).

cnf(c_0_2744_0,axiom,
    c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2744]) ).

cnf(c_0_2747_0,axiom,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X3) = c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),
    inference(literals_permutation,[status(thm)],[c_0_2747]) ).

cnf(c_0_2748_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X3) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    inference(literals_permutation,[status(thm)],[c_0_2748]) ).

cnf(c_0_2749_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    inference(literals_permutation,[status(thm)],[c_0_2749]) ).

cnf(c_0_2750_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),
    inference(literals_permutation,[status(thm)],[c_0_2750]) ).

cnf(c_0_2754_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)) = c_Relation_OField(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2754]) ).

cnf(c_0_2755_0,axiom,
    c_Transitive__Closure_Ortrancl(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2755]) ).

cnf(c_0_2756_0,axiom,
    c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2756]) ).

cnf(c_0_2757_0,axiom,
    c_Transitive__Closure_Otrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2757]) ).

cnf(c_0_2769_0,axiom,
    c_Relation_Oirrefl(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Relation_OId(X1))),
    inference(literals_permutation,[status(thm)],[c_0_2769]) ).

cnf(c_0_2782_0,axiom,
    c_Order__Relation_Owell__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2782]) ).

cnf(c_0_2783_0,axiom,
    c_Order__Relation_Olinear__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2783]) ).

cnf(c_0_2784_0,axiom,
    c_Relation_Orefl__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2784]) ).

cnf(c_0_2785_0,axiom,
    c_Order__Relation_Opreorder__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2785]) ).

cnf(c_0_2786_0,axiom,
    c_Order__Relation_Opartial__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2786]) ).

cnf(c_0_2793_0,axiom,
    c_Relation_OImage(X1,X1,c_Relation_OId(X1),X2) = X2,
    inference(literals_permutation,[status(thm)],[c_0_2793]) ).

cnf(c_0_2794_0,axiom,
    c_Transitive__Closure_Otrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),
    inference(literals_permutation,[status(thm)],[c_0_2794]) ).

cnf(c_0_2801_0,axiom,
    c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) = c_FunDef_Opair__less,
    inference(literals_permutation,[status(thm)],[c_0_2801]) ).

cnf(c_0_2810_0,axiom,
    c_Relation_ORange(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
    inference(literals_permutation,[status(thm)],[c_0_2810]) ).

cnf(c_0_2811_0,axiom,
    c_Relation_ODomain(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(literals_permutation,[status(thm)],[c_0_2811]) ).

cnf(c_0_2824_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_2824]) ).

cnf(c_0_2825_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2825]) ).

cnf(c_0_2826_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2826]) ).

cnf(c_0_2831_0,axiom,
    c_Set_Othe__elem(X1,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = X2,
    inference(literals_permutation,[status(thm)],[c_0_2831]) ).

cnf(c_0_2839_0,axiom,
    c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X2,X3)) = c_Set_Oinsert(X1,X2,X3),
    inference(literals_permutation,[status(thm)],[c_0_2839]) ).

cnf(c_0_2858_0,axiom,
    c_Relation_OField(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(literals_permutation,[status(thm)],[c_0_2858]) ).

cnf(c_0_2864_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X2)),
    inference(literals_permutation,[status(thm)],[c_0_2864]) ).

cnf(c_0_2884_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Relation_OId(X1)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2884]) ).

cnf(c_0_2885_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId(X1)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2885]) ).

cnf(c_0_2887_0,axiom,
    c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))) = c_Relation_OId(X1),
    inference(literals_permutation,[status(thm)],[c_0_2887]) ).

cnf(c_0_2888_0,axiom,
    c_Relation_Oantisym(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2888]) ).

cnf(c_0_2889_0,axiom,
    c_Wellfounded_Owf(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2889]) ).

cnf(c_0_2901_0,axiom,
    c_member(X1,X2,c_Set_Oinsert(X1,X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_2901]) ).

cnf(c_0_2902_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1),
    inference(literals_permutation,[status(thm)],[c_0_2902]) ).

cnf(c_0_2903_0,axiom,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(literals_permutation,[status(thm)],[c_0_2903]) ).

cnf(c_0_2904_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2),
    inference(literals_permutation,[status(thm)],[c_0_2904]) ).

cnf(c_0_2932_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)) = c_Relation_OId__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(literals_permutation,[status(thm)],[c_0_2932]) ).

cnf(c_0_2959_0,axiom,
    c_Relation_ORange(X1,X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Relation_ORange(X1,X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2959]) ).

cnf(c_0_2960_0,axiom,
    c_Relation_ODomain(X1,X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Relation_ODomain(X1,X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_2960]) ).

cnf(c_0_2964_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = X2,
    inference(literals_permutation,[status(thm)],[c_0_2964]) ).

cnf(c_0_2965_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = X2,
    inference(literals_permutation,[status(thm)],[c_0_2965]) ).

cnf(c_0_2966_0,axiom,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = X2,
    inference(literals_permutation,[status(thm)],[c_0_2966]) ).

cnf(c_0_2967_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2),
    inference(literals_permutation,[status(thm)],[c_0_2967]) ).

cnf(c_0_2995_0,axiom,
    c_Relation_Ototal__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2),
    inference(literals_permutation,[status(thm)],[c_0_2995]) ).

cnf(c_0_2999_0,axiom,
    c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
    inference(literals_permutation,[status(thm)],[c_0_2999]) ).

cnf(c_0_3027_0,axiom,
    c_Relation_ODomain(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
    inference(literals_permutation,[status(thm)],[c_0_3027]) ).

cnf(c_0_3028_0,axiom,
    c_Relation_ORange(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
    inference(literals_permutation,[status(thm)],[c_0_3028]) ).

cnf(c_0_3036_0,axiom,
    c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_3036]) ).

cnf(c_0_3037_0,axiom,
    c_Relation_Orefl__on(X1,X2,c_Relation_OId__on(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_3037]) ).

cnf(c_0_3038_0,axiom,
    c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X2) = X2,
    inference(literals_permutation,[status(thm)],[c_0_3038]) ).

cnf(c_0_3039_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X2),
    inference(literals_permutation,[status(thm)],[c_0_3039]) ).

cnf(c_0_3054_0,axiom,
    c_Relation_Osingle__valued(X1,X1,c_Relation_OId(X1)),
    inference(literals_permutation,[status(thm)],[c_0_3054]) ).

cnf(c_0_3060_0,axiom,
    c_Relation_Oinv__image(tc_Nat_Onat,X1,c_Wellfounded_Oless__than) = c_Wellfounded_Omeasure(X1),
    inference(literals_permutation,[status(thm)],[c_0_3060]) ).

cnf(c_0_3061_0,axiom,
    c_Transitive__Closure_Otrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_3061]) ).

cnf(c_0_3062_0,axiom,
    c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Otrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_3062]) ).

cnf(c_0_3063_0,axiom,
    c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_3063]) ).

cnf(c_0_3064_0,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_3064]) ).

cnf(c_0_3065_0,axiom,
    c_Wellfounded_Owf(X1,hAPP(c_Wellfounded_Omeasure(X1),X2)),
    inference(literals_permutation,[status(thm)],[c_0_3065]) ).

cnf(c_0_3067_0,axiom,
    c_Relation_Oantisym(X1,c_Relation_OId__on(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_3067]) ).

cnf(c_0_3068_0,axiom,
    c_Relation_Otrans(X1,c_Transitive__Closure_Otrancl(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_3068]) ).

cnf(c_0_3069_0,axiom,
    c_Relation_Otrans(X1,c_Transitive__Closure_Ortrancl(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_3069]) ).

cnf(c_0_3070_0,axiom,
    c_Relation_Otrans(X1,c_Relation_OId__on(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_3070]) ).

cnf(c_0_3082_0,axiom,
    c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) = c_FunDef_Omin__strict,
    inference(literals_permutation,[status(thm)],[c_0_3082]) ).

cnf(c_0_3083_0,axiom,
    c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) = c_FunDef_Omax__strict,
    inference(literals_permutation,[status(thm)],[c_0_3083]) ).

cnf(c_0_3084_0,axiom,
    c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less),
    inference(literals_permutation,[status(thm)],[c_0_3084]) ).

cnf(c_0_3085_0,axiom,
    c_Relation_Oantisym(X1,c_Relation_OId(X1)),
    inference(literals_permutation,[status(thm)],[c_0_3085]) ).

cnf(c_0_3086_0,axiom,
    c_Relation_Otrans(X1,c_Relation_OId(X1)),
    inference(literals_permutation,[status(thm)],[c_0_3086]) ).

cnf(c_0_3087_0,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat),
    inference(literals_permutation,[status(thm)],[c_0_3087]) ).

cnf(c_0_3088_0,axiom,
    c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) = c_Wellfounded_Oless__than,
    inference(literals_permutation,[status(thm)],[c_0_3088]) ).

cnf(c_0_3089_0,axiom,
    c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than),
    inference(literals_permutation,[status(thm)],[c_0_3089]) ).

cnf(c_0_3090_0,axiom,
    c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than),
    inference(literals_permutation,[status(thm)],[c_0_3090]) ).

cnf(c_0_3091_0,axiom,
    class_Groups_Ominus(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3091]) ).

cnf(c_0_3092_0,axiom,
    class_Orderings_Obot(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3092]) ).

cnf(c_0_3093_0,axiom,
    class_Orderings_Oord(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3093]) ).

cnf(c_0_3094_0,axiom,
    class_Orderings_Oorder(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3094]) ).

cnf(c_0_3095_0,axiom,
    class_Lattices_Olattice(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3095]) ).

cnf(c_0_3096_0,axiom,
    class_Orderings_Opreorder(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3096]) ).

cnf(c_0_3097_0,axiom,
    class_Lattices_Osemilattice__sup(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3097]) ).

cnf(c_0_3098_0,axiom,
    class_Lattices_Obounded__lattice__bot(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3098]) ).

cnf(c_0_3099_0,axiom,
    class_Groups_Ominus(tc_Nat_Onat),
    inference(literals_permutation,[status(thm)],[c_0_3099]) ).

cnf(c_0_3100_0,axiom,
    class_Orderings_Obot(tc_Nat_Onat),
    inference(literals_permutation,[status(thm)],[c_0_3100]) ).

cnf(c_0_3101_0,axiom,
    class_Orderings_Oord(tc_Nat_Onat),
    inference(literals_permutation,[status(thm)],[c_0_3101]) ).

cnf(c_0_3102_0,axiom,
    class_Orderings_Oorder(tc_Nat_Onat),
    inference(literals_permutation,[status(thm)],[c_0_3102]) ).

cnf(c_0_3103_0,axiom,
    class_Lattices_Olattice(tc_Nat_Onat),
    inference(literals_permutation,[status(thm)],[c_0_3103]) ).

cnf(c_0_3104_0,axiom,
    class_Orderings_Olinorder(tc_Nat_Onat),
    inference(literals_permutation,[status(thm)],[c_0_3104]) ).

cnf(c_0_3105_0,axiom,
    class_Orderings_Opreorder(tc_Nat_Onat),
    inference(literals_permutation,[status(thm)],[c_0_3105]) ).

cnf(c_0_3106_0,axiom,
    class_Lattices_Osemilattice__sup(tc_Nat_Onat),
    inference(literals_permutation,[status(thm)],[c_0_3106]) ).

cnf(c_0_3107_0,axiom,
    class_Lattices_Obounded__lattice(tc_HOL_Obool),
    inference(literals_permutation,[status(thm)],[c_0_3107]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
      & ! [X1] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
      & ! [X1,X2] :
          ( X1 != X2
         => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L) ) ) )
  <=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
      & ! [X1] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
      & ! [X1,X2] :
          ( X1 != X2
         => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L) ) ) ) ),
    file('<stdin>',conj_0) ).

fof(c_0_1_002,negated_conjecture,
    ~ ( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        & ! [X1] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
        & ! [X1,X2] :
            ( X1 != X2
           => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
              | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L) ) ) )
    <=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        & ! [X1] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
        & ! [X1,X2] :
            ( X1 != X2
           => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
              | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2_003,negated_conjecture,
    ! [X9,X10,X11,X12,X13,X14] :
      ( ( esk5_0 != esk6_0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | esk2_0 != esk3_0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | esk2_0 != esk3_0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | esk2_0 != esk3_0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( esk5_0 != esk6_0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( esk5_0 != esk6_0
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X12),v_L)
        | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( X13 = X14
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X14,X13),v_L)
        | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X9),v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X12),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X9),v_L) )
      & ( X13 = X14
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X14,X13),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,X9),v_L) )
      & ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,X10),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),v_L) )
      & ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,X12),v_L)
        | X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,X10),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),v_L) )
      & ( X13 = X14
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X13,X14),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X14,X13),v_L)
        | X10 = X11
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,X10),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),v_L) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_008,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X1 = X2
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)
    | X4 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_009,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9_010,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10_011,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk5_0 != esk6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11_012,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk5_0 != esk6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12_013,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)
    | X3 = X2
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13_014,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X1 = X2
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14_015,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15_016,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk5_0 != esk6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16_017,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17_018,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X1 = X2
    | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18_019,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19_020,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_20_021,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_21_022,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    c_0_3,
    [final] ).

cnf(c_0_22_023,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    c_0_4,
    [final] ).

cnf(c_0_23_024,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    c_0_5,
    [final] ).

cnf(c_0_24_025,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    c_0_6,
    [final] ).

cnf(c_0_25_026,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X1 = X2
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)
    | X4 = X3 ),
    c_0_7,
    [final] ).

cnf(c_0_26_027,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk3_0 != esk2_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk6_0),v_L) ),
    c_0_8,
    [final] ).

cnf(c_0_27_028,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk3_0 != esk2_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    c_0_9,
    [final] ).

cnf(c_0_28_029,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk5_0 != esk6_0 ),
    c_0_10,
    [final] ).

cnf(c_0_29_030,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk5_0 != esk6_0 ),
    c_0_11,
    [final] ).

cnf(c_0_30_031,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)
    | X3 = X2
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L) ),
    c_0_12,
    [final] ).

cnf(c_0_31_032,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X1 = X2
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L) ),
    c_0_13,
    [final] ).

cnf(c_0_32_033,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) ),
    c_0_14,
    [final] ).

cnf(c_0_33_034,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk3_0 != esk2_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk5_0 != esk6_0 ),
    c_0_15,
    [final] ).

cnf(c_0_34_035,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X2 = X1 ),
    c_0_16,
    [final] ).

cnf(c_0_35_036,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X1 = X2
    | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    c_0_17,
    [final] ).

cnf(c_0_36_037,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L) ),
    c_0_18,
    [final] ).

cnf(c_0_37_038,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L) ),
    c_0_19,
    [final] ).

cnf(c_0_38_039,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    c_0_20,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_1918,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_24) ).

cnf(c_1932,negated_conjecture,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_38) ).

cnf(c_2486,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(global_propositional_subsumption,[status(thm)],[c_1918,c_1932]) ).

cnf(c_2496,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2486]) ).

cnf(c_2607,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2496]) ).

cnf(c_2618,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2607]) ).

cnf(c_2636,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2618]) ).

cnf(c_8347,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2636]) ).

cnf(c_1926,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_32) ).

cnf(c_2425,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_1926]) ).

cnf(c_2444,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_2425]) ).

cnf(c_2427,negated_conjecture,
    sP0_iProver_split,
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split,sP0_iProver_split])],[c_1926]) ).

cnf(c_2426,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_2425]) ).

cnf(c_2479,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L),
    inference(global_propositional_subsumption,[status(thm)],[c_2444,c_2427,c_2426]) ).

cnf(c_2514,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L),
    inference(copy,[status(esa)],[c_2479]) ).

cnf(c_2601,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L),
    inference(copy,[status(esa)],[c_2514]) ).

cnf(c_2624,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L),
    inference(copy,[status(esa)],[c_2601]) ).

cnf(c_2644,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L),
    inference(copy,[status(esa)],[c_2624]) ).

cnf(c_8363,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L),
    inference(copy,[status(esa)],[c_2644]) ).

cnf(c_8895,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8347,c_8363,c_8363]) ).

cnf(c_8896,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(rewriting,[status(thm)],[c_8895]) ).

cnf(c_1929,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | X1 = X0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_35) ).

cnf(c_1924,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X1 = X2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_30) ).

cnf(c_2431,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | ~ sP2_iProver_split
    | X1 = X0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_1924]) ).

cnf(c_2435,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | ~ sP2_iProver_split
    | X1 = X0 ),
    inference(copy,[status(esa)],[c_2431]) ).

cnf(c_2464,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | X1 = X0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_2435,c_2464]) ).

cnf(c_2471,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | X1 = X0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1929,c_2464]) ).

cnf(c_2534,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | X1 = X0 ),
    inference(copy,[status(esa)],[c_2471]) ).

cnf(c_2611,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | X1 = X0 ),
    inference(copy,[status(esa)],[c_2534]) ).

cnf(c_2614,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | X1 = X0 ),
    inference(copy,[status(esa)],[c_2611]) ).

cnf(c_2640,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | X1 = X0 ),
    inference(copy,[status(esa)],[c_2614]) ).

cnf(c_8355,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
    | X1 = X0 ),
    inference(copy,[status(esa)],[c_2640]) ).

cnf(c_8927,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk5_0 = sk2_esk6_0 ),
    inference(resolution,[status(thm)],[c_8896,c_8355]) ).

cnf(c_8928,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk5_0 = sk2_esk6_0 ),
    inference(rewriting,[status(thm)],[c_8927]) ).

cnf(c_1922,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_28) ).

cnf(c_2461,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1922,c_2461]) ).

cnf(c_2482,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1922,c_2461]) ).

cnf(c_2508,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2482]) ).

cnf(c_2603,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2508]) ).

cnf(c_2622,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2603]) ).

cnf(c_2633,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2622]) ).

cnf(c_8341,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2633]) ).

cnf(c_8735,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8341,c_8363,c_8363]) ).

cnf(c_8736,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(rewriting,[status(thm)],[c_8735]) ).

cnf(c_8769,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk3_0 = sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(resolution,[status(thm)],[c_8736,c_8355]) ).

cnf(c_8770,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk3_0 = sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(rewriting,[status(thm)],[c_8769]) ).

cnf(c_1927,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_33) ).

cnf(c_2473,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1927,c_1932]) ).

cnf(c_2530,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2473]) ).

cnf(c_2600,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2530]) ).

cnf(c_2625,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2600]) ).

cnf(c_2643,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2625]) ).

cnf(c_8361,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2643]) ).

cnf(c_8717,negated_conjecture,
    ( sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8361,c_8363,c_8363]) ).

cnf(c_8718,plain,
    ( sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(rewriting,[status(thm)],[c_8717]) ).

cnf(c_1923,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_29) ).

cnf(c_2460,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1923,c_2460]) ).

cnf(c_2481,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1923,c_2460]) ).

cnf(c_2510,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2481]) ).

cnf(c_2602,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2510]) ).

cnf(c_2623,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2602]) ).

cnf(c_2645,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2623]) ).

cnf(c_8365,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(copy,[status(esa)],[c_2645]) ).

cnf(c_8855,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8365,c_8363,c_8363]) ).

cnf(c_8856,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | sk2_esk5_0 != sk2_esk6_0 ),
    inference(rewriting,[status(thm)],[c_8855]) ).

cnf(c_9496,plain,
    sk2_esk5_0 != sk2_esk6_0,
    inference(forward_subsumption_resolution,[status(thm)],[c_8770,c_8718,c_8856]) ).

cnf(c_9497,plain,
    sk2_esk5_0 != sk2_esk6_0,
    inference(rewriting,[status(thm)],[c_9496]) ).

cnf(c_1917,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_23) ).

cnf(c_2487,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(global_propositional_subsumption,[status(thm)],[c_1917,c_1932]) ).

cnf(c_2494,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2487]) ).

cnf(c_2608,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2494]) ).

cnf(c_2617,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2608]) ).

cnf(c_2637,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2617]) ).

cnf(c_8349,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2637]) ).

cnf(c_8935,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8349,c_8363,c_8363]) ).

cnf(c_8936,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(rewriting,[status(thm)],[c_8935]) ).

cnf(c_9592,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L),
    inference(forward_subsumption_resolution,[status(thm)],[c_8928,c_9497,c_8936]) ).

cnf(c_9593,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk2_0,sk2_esk3_0),v_L),
    inference(rewriting,[status(thm)],[c_9592]) ).

cnf(c_9623,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk3_0 = sk2_esk2_0 ),
    inference(resolution,[status(thm)],[c_9593,c_8355]) ).

cnf(c_9624,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | sk2_esk3_0 = sk2_esk2_0 ),
    inference(rewriting,[status(thm)],[c_9623]) ).

cnf(c_1921,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_27) ).

cnf(c_2462,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1921,c_2462]) ).

cnf(c_2483,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1921,c_2462]) ).

cnf(c_2506,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2483]) ).

cnf(c_2604,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2506]) ).

cnf(c_2621,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2604]) ).

cnf(c_2634,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2621]) ).

cnf(c_8343,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2634]) ).

cnf(c_8775,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8343,c_8363,c_8363]) ).

cnf(c_8776,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(rewriting,[status(thm)],[c_8775]) ).

cnf(c_8807,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 = sk2_esk6_0 ),
    inference(resolution,[status(thm)],[c_8776,c_8355]) ).

cnf(c_8808,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0
    | sk2_esk5_0 = sk2_esk6_0 ),
    inference(rewriting,[status(thm)],[c_8807]) ).

cnf(c_1920,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_26) ).

cnf(c_2463,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1920,c_2463]) ).

cnf(c_2484,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(global_propositional_subsumption,[status(thm)],[c_1920,c_2463]) ).

cnf(c_2504,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2484]) ).

cnf(c_2605,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2504]) ).

cnf(c_2620,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2605]) ).

cnf(c_2635,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2620]) ).

cnf(c_8345,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(copy,[status(esa)],[c_2635]) ).

cnf(c_8815,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8345,c_8363,c_8363]) ).

cnf(c_8816,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk3_0 != sk2_esk2_0 ),
    inference(rewriting,[status(thm)],[c_8815]) ).

cnf(c_9512,plain,
    sk2_esk3_0 != sk2_esk2_0,
    inference(forward_subsumption_resolution,[status(thm)],[c_8808,c_9497,c_8816]) ).

cnf(c_9513,plain,
    sk2_esk3_0 != sk2_esk2_0,
    inference(rewriting,[status(thm)],[c_9512]) ).

cnf(c_1916,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_22) ).

cnf(c_2488,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(global_propositional_subsumption,[status(thm)],[c_1916,c_1932]) ).

cnf(c_2492,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2488]) ).

cnf(c_2609,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2492]) ).

cnf(c_2616,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2609]) ).

cnf(c_2638,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2616]) ).

cnf(c_8351,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(copy,[status(esa)],[c_2638]) ).

cnf(c_8975,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8351,c_8363,c_8363]) ).

cnf(c_8976,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk6_0,sk2_esk5_0),v_L) ),
    inference(rewriting,[status(thm)],[c_8975]) ).

cnf(c_9007,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk5_0 = sk2_esk6_0 ),
    inference(resolution,[status(thm)],[c_8976,c_8355]) ).

cnf(c_9008,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L)
    | sk2_esk5_0 = sk2_esk6_0 ),
    inference(rewriting,[status(thm)],[c_9007]) ).

cnf(c_1915,negated_conjecture,
    ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p',c_0_21) ).

cnf(c_2489,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(global_propositional_subsumption,[status(thm)],[c_1915,c_1932]) ).

cnf(c_2490,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2489]) ).

cnf(c_2610,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2490]) ).

cnf(c_2615,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2610]) ).

cnf(c_2639,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2615]) ).

cnf(c_8353,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk1_0,sk2_esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk4_0,sk2_esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(copy,[status(esa)],[c_2639]) ).

cnf(c_9015,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8353,c_8363,c_8363]) ).

cnf(c_9016,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk5_0,sk2_esk6_0),v_L) ),
    inference(rewriting,[status(thm)],[c_9015]) ).

cnf(c_10024,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L),
    inference(forward_subsumption_resolution,[status(thm)],[c_9008,c_9497,c_9016]) ).

cnf(c_10025,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk2_esk3_0,sk2_esk2_0),v_L),
    inference(rewriting,[status(thm)],[c_10024]) ).

cnf(c_26595,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9624,c_9513,c_10025]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jul  2 02:31:35 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running in mono-core mode
% 0.36/0.57  % Orienting using strategy Equiv(ClausalAll)
% 0.36/0.57  % FOF problem with conjecture
% 0.36/0.57  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e1a0a9.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_b89360 | grep -v "SZS"
% 0.36/0.59  
% 0.36/0.59  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.36/0.59  
% 0.36/0.59  % 
% 0.36/0.59  % ------  iProver source info 
% 0.36/0.59  
% 0.36/0.59  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.36/0.59  % git: non_committed_changes: true
% 0.36/0.59  % git: last_make_outside_of_git: true
% 0.36/0.59  
% 0.36/0.59  % 
% 0.36/0.59  % ------ Input Options
% 0.36/0.59  
% 0.36/0.59  % --out_options                         all
% 0.36/0.59  % --tptp_safe_out                       true
% 0.36/0.59  % --problem_path                        ""
% 0.36/0.59  % --include_path                        ""
% 0.36/0.59  % --clausifier                          .//eprover
% 0.36/0.59  % --clausifier_options                  --tstp-format  
% 0.36/0.59  % --stdin                               false
% 0.36/0.59  % --dbg_backtrace                       false
% 0.36/0.59  % --dbg_dump_prop_clauses               false
% 0.36/0.59  % --dbg_dump_prop_clauses_file          -
% 0.36/0.59  % --dbg_out_stat                        false
% 0.36/0.59  
% 0.36/0.59  % ------ General Options
% 0.36/0.59  
% 0.36/0.59  % --fof                                 false
% 0.36/0.59  % --time_out_real                       150.
% 0.36/0.59  % --time_out_prep_mult                  0.2
% 0.36/0.59  % --time_out_virtual                    -1.
% 0.36/0.59  % --schedule                            none
% 0.36/0.59  % --ground_splitting                    input
% 0.36/0.59  % --splitting_nvd                       16
% 0.36/0.59  % --non_eq_to_eq                        false
% 0.36/0.59  % --prep_gs_sim                         true
% 0.36/0.59  % --prep_unflatten                      false
% 0.36/0.59  % --prep_res_sim                        true
% 0.36/0.59  % --prep_upred                          true
% 0.36/0.59  % --res_sim_input                       true
% 0.36/0.59  % --clause_weak_htbl                    true
% 0.36/0.59  % --gc_record_bc_elim                   false
% 0.36/0.59  % --symbol_type_check                   false
% 0.36/0.59  % --clausify_out                        false
% 0.36/0.59  % --large_theory_mode                   false
% 0.36/0.59  % --prep_sem_filter                     none
% 0.36/0.59  % --prep_sem_filter_out                 false
% 0.36/0.59  % --preprocessed_out                    false
% 0.36/0.59  % --sub_typing                          false
% 0.36/0.59  % --brand_transform                     false
% 0.36/0.59  % --pure_diseq_elim                     true
% 0.36/0.59  % --min_unsat_core                      false
% 0.36/0.59  % --pred_elim                           true
% 0.36/0.59  % --add_important_lit                   false
% 0.36/0.59  % --soft_assumptions                    false
% 0.36/0.59  % --reset_solvers                       false
% 0.36/0.59  % --bc_imp_inh                          []
% 0.36/0.59  % --conj_cone_tolerance                 1.5
% 0.36/0.59  % --prolific_symb_bound                 500
% 0.36/0.59  % --lt_threshold                        2000
% 0.36/0.59  
% 0.36/0.59  % ------ SAT Options
% 0.36/0.59  
% 0.36/0.59  % --sat_mode                            false
% 0.36/0.59  % --sat_fm_restart_options              ""
% 0.36/0.59  % --sat_gr_def                          false
% 0.36/0.59  % --sat_epr_types                       true
% 0.36/0.59  % --sat_non_cyclic_types                false
% 0.36/0.59  % --sat_finite_models                   false
% 0.36/0.59  % --sat_fm_lemmas                       false
% 0.36/0.59  % --sat_fm_prep                         false
% 0.36/0.59  % --sat_fm_uc_incr                      true
% 0.36/0.59  % --sat_out_model                       small
% 0.36/0.59  % --sat_out_clauses                     false
% 0.36/0.59  
% 0.36/0.59  % ------ QBF Options
% 0.36/0.59  
% 0.36/0.59  % --qbf_mode                            false
% 0.36/0.59  % --qbf_elim_univ                       true
% 0.36/0.59  % --qbf_sk_in                           true
% 0.36/0.59  % --qbf_pred_elim                       true
% 0.36/0.59  % --qbf_split                           32
% 0.36/0.59  
% 0.36/0.59  % ------ BMC1 Options
% 0.36/0.59  
% 0.36/0.59  % --bmc1_incremental                    false
% 0.36/0.59  % --bmc1_axioms                         reachable_all
% 0.36/0.59  % --bmc1_min_bound                      0
% 0.36/0.59  % --bmc1_max_bound                      -1
% 0.36/0.59  % --bmc1_max_bound_default              -1
% 0.36/0.59  % --bmc1_symbol_reachability            true
% 0.36/0.59  % --bmc1_property_lemmas                false
% 0.36/0.59  % --bmc1_k_induction                    false
% 0.36/0.59  % --bmc1_non_equiv_states               false
% 0.36/0.59  % --bmc1_deadlock                       false
% 0.36/0.59  % --bmc1_ucm                            false
% 0.36/0.59  % --bmc1_add_unsat_core                 none
% 0.36/0.59  % --bmc1_unsat_core_children            false
% 0.36/0.59  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.36/0.59  % --bmc1_out_stat                       full
% 0.36/0.59  % --bmc1_ground_init                    false
% 0.36/0.59  % --bmc1_pre_inst_next_state            false
% 0.36/0.59  % --bmc1_pre_inst_state                 false
% 0.36/0.59  % --bmc1_pre_inst_reach_state           false
% 0.36/0.59  % --bmc1_out_unsat_core                 false
% 0.36/0.59  % --bmc1_aig_witness_out                false
% 0.36/0.59  % --bmc1_verbose                        false
% 0.36/0.59  % --bmc1_dump_clauses_tptp              false
% 0.36/0.61  % --bmc1_dump_unsat_core_tptp           false
% 0.36/0.61  % --bmc1_dump_file                      -
% 0.36/0.61  % --bmc1_ucm_expand_uc_limit            128
% 0.36/0.61  % --bmc1_ucm_n_expand_iterations        6
% 0.36/0.61  % --bmc1_ucm_extend_mode                1
% 0.36/0.61  % --bmc1_ucm_init_mode                  2
% 0.36/0.61  % --bmc1_ucm_cone_mode                  none
% 0.36/0.61  % --bmc1_ucm_reduced_relation_type      0
% 0.36/0.61  % --bmc1_ucm_relax_model                4
% 0.36/0.61  % --bmc1_ucm_full_tr_after_sat          true
% 0.36/0.61  % --bmc1_ucm_expand_neg_assumptions     false
% 0.36/0.61  % --bmc1_ucm_layered_model              none
% 0.36/0.61  % --bmc1_ucm_max_lemma_size             10
% 0.36/0.61  
% 0.36/0.61  % ------ AIG Options
% 0.36/0.61  
% 0.36/0.61  % --aig_mode                            false
% 0.36/0.61  
% 0.36/0.61  % ------ Instantiation Options
% 0.36/0.61  
% 0.36/0.61  % --instantiation_flag                  true
% 0.36/0.61  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.36/0.61  % --inst_solver_per_active              750
% 0.36/0.61  % --inst_solver_calls_frac              0.5
% 0.36/0.61  % --inst_passive_queue_type             priority_queues
% 0.36/0.61  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.36/0.61  % --inst_passive_queues_freq            [25;2]
% 0.36/0.61  % --inst_dismatching                    true
% 0.36/0.61  % --inst_eager_unprocessed_to_passive   true
% 0.36/0.61  % --inst_prop_sim_given                 true
% 0.36/0.61  % --inst_prop_sim_new                   false
% 0.36/0.61  % --inst_orphan_elimination             true
% 0.36/0.61  % --inst_learning_loop_flag             true
% 0.36/0.61  % --inst_learning_start                 3000
% 0.36/0.61  % --inst_learning_factor                2
% 0.36/0.61  % --inst_start_prop_sim_after_learn     3
% 0.36/0.61  % --inst_sel_renew                      solver
% 0.36/0.61  % --inst_lit_activity_flag              true
% 0.36/0.61  % --inst_out_proof                      true
% 0.36/0.61  
% 0.36/0.61  % ------ Resolution Options
% 0.36/0.61  
% 0.36/0.61  % --resolution_flag                     true
% 0.36/0.61  % --res_lit_sel                         kbo_max
% 0.36/0.61  % --res_to_prop_solver                  none
% 0.36/0.61  % --res_prop_simpl_new                  false
% 0.36/0.61  % --res_prop_simpl_given                false
% 0.36/0.61  % --res_passive_queue_type              priority_queues
% 0.36/0.61  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.36/0.61  % --res_passive_queues_freq             [15;5]
% 0.36/0.61  % --res_forward_subs                    full
% 0.36/0.61  % --res_backward_subs                   full
% 0.36/0.61  % --res_forward_subs_resolution         true
% 0.36/0.61  % --res_backward_subs_resolution        true
% 0.36/0.61  % --res_orphan_elimination              false
% 0.36/0.61  % --res_time_limit                      1000.
% 0.36/0.61  % --res_out_proof                       true
% 0.36/0.61  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e1a0a9.s
% 0.36/0.61  % --modulo                              true
% 0.36/0.61  
% 0.36/0.61  % ------ Combination Options
% 0.36/0.61  
% 0.36/0.61  % --comb_res_mult                       1000
% 0.36/0.61  % --comb_inst_mult                      300
% 0.36/0.61  % ------ 
% 0.36/0.61  
% 0.36/0.61  % ------ Parsing...% 
% 0.36/0.61  
% 0.36/0.61  
% 0.36/0.61  % ------                             Statistics
% 0.36/0.61  
% 0.36/0.61  % ------ General
% 0.36/0.61  
% 0.36/0.61  % num_of_input_clauses:                 316
% 0.36/0.61  % num_of_input_neg_conjectures:         0
% 0.36/0.61  % num_of_splits:                        0
% 0.36/0.61  % num_of_split_atoms:                   0
% 0.36/0.61  % num_of_sem_filtered_clauses:          0
% 0.36/0.61  % num_of_subtypes:                      0
% 0.36/0.61  % monotx_restored_types:                0
% 0.36/0.61  % sat_num_of_epr_types:                 0
% 0.36/0.61  % sat_num_of_non_cyclic_types:          0
% 0.36/0.61  % sat_guarded_non_collapsed_types:      0
% 0.36/0.61  % is_epr:                               0
% 0.36/0.61  % is_horn:                              0
% 0.36/0.61  % has_eq:                               0
% 0.36/0.61  % num_pure_diseq_elim:                  0
% 0.36/0.61  % simp_replaced_by:                     0
% 0.36/0.61  % res_preprocessed:                     0
% 0.36/0.61  % prep_upred:                           0
% 0.36/0.61  % prep_unflattend:                      0
% 0.36/0.61  % pred_elim_cands:                      0
% 0.36/0.61  % pred_elim:                            0
% 0.36/0.61  % pred_elim_cl:                         0
% 0.36/0.61  % pred_elim_cycles:                     0
% 0.36/0.61  % forced_gc_time:                       0
% 0.36/0.61  % gc_basic_clause_elim:                 0
% 0.36/0.61  % parsing_time:                         0.
% 0.36/0.61  % sem_filter_time:                      0.
% 0.36/0.61  % pred_elim_time:                       0.
% 0.36/0.61  % out_proof_time:                       0.
% 0.36/0.61  % monotx_time:                          0.
% 0.36/0.61  % subtype_inf_time:                     0.
% 0.36/0.61  % unif_index_cands_time:                0.
% 0.36/0.61  % uFatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p line: 319 near token: '!='")
% 0.36/0.61  nif_index_add_time:                  0.
% 0.36/0.61  % total_time:                           0.033
% 0.36/0.61  % num_of_symbols:                       110
% 0.36/0.61  % num_of_terms:                         930
% 0.36/0.61  
% 0.36/0.61  % ------ Propositional Solver
% 0.36/0.61  
% 0.36/0.61  % prop_solver_calls:                    0
% 0.36/0.61  % prop_fast_solver_calls:               0
% 0.36/0.61  % prop_num_of_clauses:                  0
% 0.36/0.61  % prop_preprocess_simplified:           0
% 0.36/0.61  % prop_fo_subsumed:                     0
% 0.36/0.61  % prop_solver_time:                     0.
% 0.36/0.61  % prop_fast_solver_time:                0.
% 0.36/0.61  % prop_unsat_core_time:                 0.
% 0.36/0.61  
% 0.36/0.61  % ------ QBF 
% 0.36/0.61  
% 0.36/0.61  % qbf_q_res:                            0
% 0.36/0.61  % qbf_num_tautologies:                  0
% 0.36/0.61  % qbf_prep_cycles:                      0
% 0.36/0.61  
% 0.36/0.61  % ------ BMC1
% 0.36/0.61  
% 0.36/0.61  % bmc1_current_bound:                   -1
% 0.36/0.61  % bmc1_last_solved_bound:               -1
% 0.36/0.61  % bmc1_unsat_core_size:                 -1
% 0.36/0.61  % bmc1_unsat_core_parents_size:         -1
% 0.36/0.61  % bmc1_merge_next_fun:                  0
% 0.36/0.61  % bmc1_unsat_core_clauses_time:         0.
% 0.36/0.61  
% 0.36/0.61  % ------ Instantiation
% 0.36/0.61  
% 0.36/0.61  % inst_num_of_clauses:                  undef
% 0.36/0.61  % inst_num_in_passive:                  undef
% 0.36/0.61  % inst_num_in_active:                   0
% 0.36/0.61  % inst_num_in_unprocessed:              0
% 0.36/0.61  % inst_num_of_loops:                    0
% 0.36/0.61  % inst_num_of_learning_restarts:        0
% 0.36/0.61  % inst_num_moves_active_passive:        0
% 0.36/0.61  % inst_lit_activity:                    0
% 0.36/0.61  % inst_lit_activity_moves:              0
% 0.36/0.61  % inst_num_tautologies:                 0
% 0.36/0.61  % inst_num_prop_implied:                0
% 0.36/0.61  % inst_num_existing_simplified:         0
% 0.36/0.61  % inst_num_eq_res_simplified:           0
% 0.36/0.61  % inst_num_child_elim:                  0
% 0.36/0.61  % inst_num_of_dismatching_blockings:    0
% 0.36/0.61  % inst_num_of_non_proper_insts:         0
% 0.36/0.61  % inst_num_of_duplicates:               0
% 0.36/0.61  % inst_inst_num_from_inst_to_res:       0
% 0.36/0.61  % inst_dismatching_checking_time:       0.
% 0.36/0.61  
% 0.36/0.61  % ------ Resolution
% 0.36/0.61  
% 0.36/0.61  % res_num_of_clauses:                   undef
% 0.36/0.61  % res_num_in_passive:                   undef
% 0.36/0.61  % res_num_in_active:                    0
% 0.36/0.61  % res_num_of_loops:                     0
% 0.36/0.61  % res_forward_subset_subsumed:          0
% 0.36/0.61  % res_backward_subset_subsumed:         0
% 0.36/0.61  % res_forward_subsumed:                 0
% 0.36/0.61  % res_backward_subsumed:                0
% 0.36/0.61  % res_forward_subsumption_resolution:   0
% 0.36/0.61  % res_backward_subsumption_resolution:  0
% 0.36/0.61  % res_clause_to_clause_subsumption:     0
% 0.36/0.61  % res_orphan_elimination:               0
% 0.36/0.61  % res_tautology_del:                    0
% 0.36/0.61  % res_num_eq_res_simplified:            0
% 0.36/0.61  % res_num_sel_changes:                  0
% 0.36/0.61  % res_moves_from_active_to_pass:        0
% 0.36/0.61  
% 0.36/0.61  % Status Unknown
% 0.48/0.79  % Orienting using strategy ClausalAll
% 0.48/0.79  % FOF problem with conjecture
% 0.48/0.79  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e1a0a9.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_68f5ba.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_40932e | grep -v "SZS"
% 0.66/0.82  
% 0.66/0.82  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.66/0.82  
% 0.66/0.82  % 
% 0.66/0.82  % ------  iProver source info 
% 0.66/0.82  
% 0.66/0.82  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.66/0.82  % git: non_committed_changes: true
% 0.66/0.82  % git: last_make_outside_of_git: true
% 0.66/0.82  
% 0.66/0.82  % 
% 0.66/0.82  % ------ Input Options
% 0.66/0.82  
% 0.66/0.82  % --out_options                         all
% 0.66/0.82  % --tptp_safe_out                       true
% 0.66/0.82  % --problem_path                        ""
% 0.66/0.82  % --include_path                        ""
% 0.66/0.82  % --clausifier                          .//eprover
% 0.66/0.82  % --clausifier_options                  --tstp-format  
% 0.66/0.82  % --stdin                               false
% 0.66/0.82  % --dbg_backtrace                       false
% 0.66/0.82  % --dbg_dump_prop_clauses               false
% 0.66/0.82  % --dbg_dump_prop_clauses_file          -
% 0.66/0.82  % --dbg_out_stat                        false
% 0.66/0.82  
% 0.66/0.82  % ------ General Options
% 0.66/0.82  
% 0.66/0.82  % --fof                                 false
% 0.66/0.82  % --time_out_real                       150.
% 0.66/0.82  % --time_out_prep_mult                  0.2
% 0.66/0.82  % --time_out_virtual                    -1.
% 0.66/0.82  % --schedule                            none
% 0.66/0.82  % --ground_splitting                    input
% 0.66/0.82  % --splitting_nvd                       16
% 0.66/0.82  % --non_eq_to_eq                        false
% 0.66/0.82  % --prep_gs_sim                         true
% 0.66/0.82  % --prep_unflatten                      false
% 0.66/0.82  % --prep_res_sim                        true
% 0.66/0.82  % --prep_upred                          true
% 0.66/0.82  % --res_sim_input                       true
% 0.66/0.82  % --clause_weak_htbl                    true
% 0.66/0.82  % --gc_record_bc_elim                   false
% 0.66/0.82  % --symbol_type_check                   false
% 0.66/0.82  % --clausify_out                        false
% 0.66/0.82  % --large_theory_mode                   false
% 0.66/0.82  % --prep_sem_filter                     none
% 0.66/0.82  % --prep_sem_filter_out                 false
% 0.66/0.82  % --preprocessed_out                    false
% 0.66/0.82  % --sub_typing                          false
% 0.66/0.82  % --brand_transform                     false
% 0.66/0.82  % --pure_diseq_elim                     true
% 0.66/0.82  % --min_unsat_core                      false
% 0.66/0.82  % --pred_elim                           true
% 0.66/0.82  % --add_important_lit                   false
% 0.66/0.82  % --soft_assumptions                    false
% 0.66/0.82  % --reset_solvers                       false
% 0.66/0.82  % --bc_imp_inh                          []
% 0.66/0.82  % --conj_cone_tolerance                 1.5
% 0.66/0.82  % --prolific_symb_bound                 500
% 0.66/0.82  % --lt_threshold                        2000
% 0.66/0.82  
% 0.66/0.82  % ------ SAT Options
% 0.66/0.82  
% 0.66/0.82  % --sat_mode                            false
% 0.66/0.82  % --sat_fm_restart_options              ""
% 0.66/0.82  % --sat_gr_def                          false
% 0.66/0.82  % --sat_epr_types                       true
% 0.66/0.82  % --sat_non_cyclic_types                false
% 0.66/0.82  % --sat_finite_models                   false
% 0.66/0.82  % --sat_fm_lemmas                       false
% 0.66/0.82  % --sat_fm_prep                         false
% 0.66/0.82  % --sat_fm_uc_incr                      true
% 0.66/0.82  % --sat_out_model                       small
% 0.66/0.82  % --sat_out_clauses                     false
% 0.66/0.82  
% 0.66/0.82  % ------ QBF Options
% 0.66/0.82  
% 0.66/0.82  % --qbf_mode                            false
% 0.66/0.82  % --qbf_elim_univ                       true
% 0.66/0.82  % --qbf_sk_in                           true
% 0.66/0.82  % --qbf_pred_elim                       true
% 0.66/0.82  % --qbf_split                           32
% 0.66/0.82  
% 0.66/0.82  % ------ BMC1 Options
% 0.66/0.82  
% 0.66/0.82  % --bmc1_incremental                    false
% 0.66/0.82  % --bmc1_axioms                         reachable_all
% 0.66/0.82  % --bmc1_min_bound                      0
% 0.66/0.82  % --bmc1_max_bound                      -1
% 0.66/0.82  % --bmc1_max_bound_default              -1
% 0.66/0.82  % --bmc1_symbol_reachability            true
% 0.66/0.82  % --bmc1_property_lemmas                false
% 0.66/0.82  % --bmc1_k_induction                    false
% 0.66/0.82  % --bmc1_non_equiv_states               false
% 0.66/0.82  % --bmc1_deadlock                       false
% 0.66/0.82  % --bmc1_ucm                            false
% 0.66/0.82  % --bmc1_add_unsat_core                 none
% 0.66/0.82  % --bmc1_unsat_core_children            false
% 0.66/0.82  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.66/0.82  % --bmc1_out_stat                       full
% 0.66/0.82  % --bmc1_ground_init                    false
% 0.66/0.82  % --bmc1_pre_inst_next_state            false
% 0.66/0.82  % --bmc1_pre_inst_state                 false
% 0.66/0.82  % --bmc1_pre_inst_reach_state           false
% 0.66/0.82  % --bmc1_out_unsat_core                 false
% 0.66/0.82  % --bmc1_aig_witness_out                false
% 0.66/0.82  % --bmc1_verbose                        false
% 0.66/0.82  % --bmc1_dump_clauses_tptp              false
% 4.04/4.28  % --bmc1_dump_unsat_core_tptp           false
% 4.04/4.28  % --bmc1_dump_file                      -
% 4.04/4.28  % --bmc1_ucm_expand_uc_limit            128
% 4.04/4.28  % --bmc1_ucm_n_expand_iterations        6
% 4.04/4.28  % --bmc1_ucm_extend_mode                1
% 4.04/4.28  % --bmc1_ucm_init_mode                  2
% 4.04/4.28  % --bmc1_ucm_cone_mode                  none
% 4.04/4.28  % --bmc1_ucm_reduced_relation_type      0
% 4.04/4.28  % --bmc1_ucm_relax_model                4
% 4.04/4.28  % --bmc1_ucm_full_tr_after_sat          true
% 4.04/4.28  % --bmc1_ucm_expand_neg_assumptions     false
% 4.04/4.28  % --bmc1_ucm_layered_model              none
% 4.04/4.28  % --bmc1_ucm_max_lemma_size             10
% 4.04/4.28  
% 4.04/4.28  % ------ AIG Options
% 4.04/4.28  
% 4.04/4.28  % --aig_mode                            false
% 4.04/4.28  
% 4.04/4.28  % ------ Instantiation Options
% 4.04/4.28  
% 4.04/4.28  % --instantiation_flag                  true
% 4.04/4.28  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 4.04/4.28  % --inst_solver_per_active              750
% 4.04/4.28  % --inst_solver_calls_frac              0.5
% 4.04/4.28  % --inst_passive_queue_type             priority_queues
% 4.04/4.28  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.04/4.28  % --inst_passive_queues_freq            [25;2]
% 4.04/4.28  % --inst_dismatching                    true
% 4.04/4.28  % --inst_eager_unprocessed_to_passive   true
% 4.04/4.28  % --inst_prop_sim_given                 true
% 4.04/4.28  % --inst_prop_sim_new                   false
% 4.04/4.28  % --inst_orphan_elimination             true
% 4.04/4.28  % --inst_learning_loop_flag             true
% 4.04/4.28  % --inst_learning_start                 3000
% 4.04/4.28  % --inst_learning_factor                2
% 4.04/4.28  % --inst_start_prop_sim_after_learn     3
% 4.04/4.28  % --inst_sel_renew                      solver
% 4.04/4.28  % --inst_lit_activity_flag              true
% 4.04/4.28  % --inst_out_proof                      true
% 4.04/4.28  
% 4.04/4.28  % ------ Resolution Options
% 4.04/4.28  
% 4.04/4.28  % --resolution_flag                     true
% 4.04/4.28  % --res_lit_sel                         kbo_max
% 4.04/4.28  % --res_to_prop_solver                  none
% 4.04/4.28  % --res_prop_simpl_new                  false
% 4.04/4.28  % --res_prop_simpl_given                false
% 4.04/4.28  % --res_passive_queue_type              priority_queues
% 4.04/4.28  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.04/4.28  % --res_passive_queues_freq             [15;5]
% 4.04/4.28  % --res_forward_subs                    full
% 4.04/4.28  % --res_backward_subs                   full
% 4.04/4.28  % --res_forward_subs_resolution         true
% 4.04/4.28  % --res_backward_subs_resolution        true
% 4.04/4.28  % --res_orphan_elimination              false
% 4.04/4.28  % --res_time_limit                      1000.
% 4.04/4.28  % --res_out_proof                       true
% 4.04/4.28  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e1a0a9.s
% 4.04/4.28  % --modulo                              true
% 4.04/4.28  
% 4.04/4.28  % ------ Combination Options
% 4.04/4.28  
% 4.04/4.28  % --comb_res_mult                       1000
% 4.04/4.28  % --comb_inst_mult                      300
% 4.04/4.28  % ------ 
% 4.04/4.28  
% 4.04/4.28  % ------ Parsing...% successful
% 4.04/4.28  
% 4.04/4.28  % ------ Preprocessing... gs_s  sp: 16 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe:2:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 4.04/4.28  
% 4.04/4.28  % ------ Proving...
% 4.04/4.28  % ------ Problem Properties 
% 4.04/4.28  
% 4.04/4.28  % 
% 4.04/4.28  % EPR                                   false
% 4.04/4.28  % Horn                                  false
% 4.04/4.28  % Has equality                          true
% 4.04/4.28  
% 4.04/4.28  % % ------ Input Options Time Limit: Unbounded
% 4.04/4.28  
% 4.04/4.28  
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  Compiling...
% 4.04/4.28  Loading plugin: done.
% 4.04/4.28  % % ------ Current options:
% 4.04/4.28  
% 4.04/4.28  % ------ Input Options
% 4.04/4.28  
% 4.04/4.28  % --out_options                         all
% 4.04/4.28  % --tptp_safe_out                       true
% 4.04/4.28  % --problem_path                        ""
% 4.04/4.28  % --include_path                        ""
% 4.04/4.28  % --clausifier                          .//eprover
% 4.04/4.28  % --clausifier_options                  --tstp-format  
% 4.04/4.28  % --stdin                               false
% 4.04/4.28  % --dbg_backtrace                       false
% 4.04/4.28  % --dbg_dump_prop_clauses               false
% 4.04/4.28  % --dbg_dump_prop_clauses_file          -
% 4.04/4.28  % --dbg_out_stat                        false
% 4.04/4.28  
% 4.04/4.28  % ------ General Options
% 4.04/4.28  
% 4.04/4.28  % --fof                                 false
% 4.04/4.28  % --time_out_real                       150.
% 4.04/4.28  % --time_out_prep_mult                  0.2
% 4.04/4.28  % --time_out_virtual                    -1.
% 4.04/4.28  % --schedule                            none
% 4.04/4.28  % --ground_splitting                    input
% 4.04/4.28  % --splitting_nvd                       16
% 4.04/4.28  % --non_eq_to_eq                        false
% 4.04/4.28  % --prep_gs_sim                         true
% 4.04/4.28  % --prep_unflatten                      false
% 4.04/4.28  % --prep_res_sim                        true
% 4.04/4.28  % --prep_upred                          true
% 4.04/4.28  % --res_sim_input                       true
% 4.04/4.28  % --clause_weak_htbl                    true
% 4.04/4.28  % --gc_record_bc_elim                   false
% 4.04/4.28  % --symbol_type_check                   false
% 4.04/4.28  % --clausify_out                        false
% 4.04/4.28  % --large_theory_mode                   false
% 4.04/4.28  % --prep_sem_filter                     none
% 4.04/4.28  % --prep_sem_filter_out                 false
% 4.04/4.28  % --preprocessed_out                    false
% 4.04/4.28  % --sub_typing                          false
% 4.04/4.28  % --brand_transform                     false
% 4.04/4.28  % --pure_diseq_elim                     true
% 4.04/4.28  % --min_unsat_core                      false
% 4.04/4.28  % --pred_elim                           true
% 4.04/4.28  % --add_important_lit                   false
% 4.04/4.28  % --soft_assumptions                    false
% 4.04/4.28  % --reset_solvers                       false
% 4.04/4.28  % --bc_imp_inh                          []
% 4.04/4.28  % --conj_cone_tolerance                 1.5
% 4.04/4.28  % --prolific_symb_bound                 500
% 4.04/4.28  % --lt_threshold                        2000
% 4.04/4.28  
% 4.04/4.28  % ------ SAT Options
% 4.04/4.28  
% 4.04/4.28  % --sat_mode                            false
% 4.04/4.28  % --sat_fm_restart_options              ""
% 4.04/4.28  % --sat_gr_def                          false
% 4.04/4.28  % --sat_epr_types                       true
% 4.04/4.28  % --sat_non_cyclic_types                false
% 4.04/4.28  % --sat_finite_models                   false
% 4.04/4.28  % --sat_fm_lemmas                       false
% 4.04/4.28  % --sat_fm_prep                         false
% 4.04/4.28  % --sat_fm_uc_incr                      true
% 4.04/4.28  % --sat_out_model                       small
% 4.04/4.28  % --sat_out_clauses                     false
% 4.04/4.28  
% 4.04/4.28  % ------ QBF Options
% 4.04/4.28  
% 4.04/4.28  % --qbf_mode                            false
% 4.04/4.28  % --qbf_elim_univ                       true
% 4.04/4.28  % --qbf_sk_in                           true
% 4.04/4.28  % --qbf_pred_elim                       true
% 4.04/4.28  % --qbf_split                           32
% 4.04/4.28  
% 4.04/4.28  % ------ BMC1 Options
% 4.04/4.28  
% 4.04/4.28  % --bmc1_incremental                    false
% 4.04/4.28  % --bmc1_axioms                         reachable_all
% 4.04/4.28  % --bmc1_min_bound                      0
% 4.04/4.28  % --bmc1_max_bound                      -1
% 4.04/4.28  % --bmc1_max_bound_default              -1
% 4.04/4.28  % --bmc1_symbol_reachability            true
% 4.04/4.28  % --bmc1_property_lemmas                false
% 4.04/4.28  % --bmc1_k_induction                    false
% 4.04/4.28  % --bmc1_non_equiv_states               false
% 4.04/4.28  % --bmc1_deadlock                       false
% 4.04/4.28  % --bmc1_ucm                            false
% 4.04/4.28  % --bmc1_add_unsat_core                 none
% 4.04/4.28  % --bmc1_unsat_core_children            false
% 4.04/4.28  % --bmc1_unsat_core_extrapolate_axioms  false
% 4.04/4.28  % --bmc1_out_stat                       full
% 4.04/4.28  % --bmc1_ground_init                    false
% 4.04/4.28  % --bmc1_pre_inst_next_state            false
% 4.04/4.28  % --bmc1_pre_inst_state                 false
% 4.04/4.28  % --bmc1_pre_inst_reach_state           false
% 4.04/4.28  % --bmc1_out_unsat_core                 false
% 4.04/4.28  % --bmc1_aig_witness_out                false
% 4.04/4.28  % --bmc1_verbose                        false
% 4.04/4.28  % --bmc1_dump_clauses_tptp              false
% 4.04/4.28  % --bmc1_dump_unsat_core_tptp           false
% 4.04/4.28  % --bmc1_dump_file                      -
% 4.04/4.28  % --bmc1_ucm_expand_uc_limit            128
% 4.04/4.28  % --bmc1_ucm_n_expand_iterations        6
% 4.04/4.28  % --bmc1_ucm_extend_mode                1
% 4.04/4.28  % --bmc1_ucm_init_mode                  2
% 4.04/4.28  % --bmc1_ucm_cone_mode                  none
% 4.04/4.28  % --bmc1_ucm_reduced_relation_type      0
% 4.04/4.28  % --bmc1_ucm_relax_model                4
% 4.04/4.28  % --bmc1_ucm_full_tr_after_sat          true
% 4.04/4.28  % --bmc1_ucm_expand_neg_assumptions     false
% 4.04/4.28  % --bmc1_ucm_layered_model              none
% 4.04/4.28  % --bmc1_ucm_max_lemma_size             10
% 4.04/4.28  
% 4.04/4.28  % ------ AIG Options
% 4.04/4.28  
% 4.04/4.28  % --aig_mode                            false
% 4.88/5.11  
% 4.88/5.11  % ------ Instantiation Options
% 4.88/5.11  
% 4.88/5.11  % --instantiation_flag                  true
% 4.88/5.11  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 4.88/5.11  % --inst_solver_per_active              750
% 4.88/5.11  % --inst_solver_calls_frac              0.5
% 4.88/5.11  % --inst_passive_queue_type             priority_queues
% 4.88/5.11  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.88/5.11  % --inst_passive_queues_freq            [25;2]
% 4.88/5.11  % --inst_dismatching                    true
% 4.88/5.11  % --inst_eager_unprocessed_to_passive   true
% 4.88/5.11  % --inst_prop_sim_given                 true
% 4.88/5.11  % --inst_prop_sim_new                   false
% 4.88/5.11  % --inst_orphan_elimination             true
% 4.88/5.11  % --inst_learning_loop_flag             true
% 4.88/5.11  % --inst_learning_start                 3000
% 4.88/5.11  % --inst_learning_factor                2
% 4.88/5.11  % --inst_start_prop_sim_after_learn     3
% 4.88/5.11  % --inst_sel_renew                      solver
% 4.88/5.11  % --inst_lit_activity_flag              true
% 4.88/5.11  % --inst_out_proof                      true
% 4.88/5.11  
% 4.88/5.11  % ------ Resolution Options
% 4.88/5.11  
% 4.88/5.11  % --resolution_flag                     true
% 4.88/5.11  % --res_lit_sel                         kbo_max
% 4.88/5.11  % --res_to_prop_solver                  none
% 4.88/5.11  % --res_prop_simpl_new                  false
% 4.88/5.11  % --res_prop_simpl_given                false
% 4.88/5.11  % --res_passive_queue_type              priority_queues
% 4.88/5.11  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.88/5.11  % --res_passive_queues_freq             [15;5]
% 4.88/5.11  % --res_forward_subs                    full
% 4.88/5.11  % --res_backward_subs                   full
% 4.88/5.11  % --res_forward_subs_resolution         true
% 4.88/5.11  % --res_backward_subs_resolution        true
% 4.88/5.11  % --res_orphan_elimination              false
% 4.88/5.11  % --res_time_limit                      1000.
% 4.88/5.11  % --res_out_proof                       true
% 4.88/5.11  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e1a0a9.s
% 4.88/5.11  % --modulo                              true
% 4.88/5.11  
% 4.88/5.11  % ------ Combination Options
% 4.88/5.11  
% 4.88/5.11  % --comb_res_mult                       1000
% 4.88/5.11  % --comb_inst_mult                      300
% 4.88/5.11  % ------ 
% 4.88/5.11  
% 4.88/5.11  
% 4.88/5.11  
% 4.88/5.11  % ------ Proving...
% 4.88/5.11  % 
% 4.88/5.11  
% 4.88/5.11  
% 4.88/5.11  %  Resolution empty clause
% 4.88/5.11  
% 4.88/5.11  % ------                             Statistics
% 4.88/5.11  
% 4.88/5.11  % ------ General
% 4.88/5.11  
% 4.88/5.11  % num_of_input_clauses:                 1933
% 4.88/5.11  % num_of_input_neg_conjectures:         18
% 4.88/5.11  % num_of_splits:                        16
% 4.88/5.11  % num_of_split_atoms:                   3
% 4.88/5.11  % num_of_sem_filtered_clauses:          0
% 4.88/5.11  % num_of_subtypes:                      0
% 4.88/5.11  % monotx_restored_types:                0
% 4.88/5.11  % sat_num_of_epr_types:                 0
% 4.88/5.11  % sat_num_of_non_cyclic_types:          0
% 4.88/5.11  % sat_guarded_non_collapsed_types:      0
% 4.88/5.11  % is_epr:                               0
% 4.88/5.11  % is_horn:                              0
% 4.88/5.11  % has_eq:                               1
% 4.88/5.11  % num_pure_diseq_elim:                  0
% 4.88/5.11  % simp_replaced_by:                     0
% 4.88/5.11  % res_preprocessed:                     52
% 4.88/5.11  % prep_upred:                           0
% 4.88/5.11  % prep_unflattend:                      0
% 4.88/5.11  % pred_elim_cands:                      3
% 4.88/5.11  % pred_elim:                            3
% 4.88/5.11  % pred_elim_cl:                         5
% 4.88/5.11  % pred_elim_cycles:                     4
% 4.88/5.11  % forced_gc_time:                       0
% 4.88/5.11  % gc_basic_clause_elim:                 0
% 4.88/5.11  % parsing_time:                         0.112
% 4.88/5.11  % sem_filter_time:                      0.
% 4.88/5.11  % pred_elim_time:                       0.
% 4.88/5.11  % out_proof_time:                       0.006
% 4.88/5.11  % monotx_time:                          0.
% 4.88/5.11  % subtype_inf_time:                     0.
% 4.88/5.11  % unif_index_cands_time:                0.002
% 4.88/5.11  % unif_index_add_time:                  0.002
% 4.88/5.11  % total_time:                           4.312
% 4.88/5.11  % num_of_symbols:                       206
% 4.88/5.11  % num_of_terms:                         23108
% 4.88/5.11  
% 4.88/5.11  % ------ Propositional Solver
% 4.88/5.11  
% 4.88/5.11  % prop_solver_calls:                    1
% 4.88/5.11  % prop_fast_solver_calls:               346
% 4.88/5.11  % prop_num_of_clauses:                  1590
% 4.88/5.11  % prop_preprocess_simplified:           6420
% 4.88/5.11  % prop_fo_subsumed:                     49
% 4.88/5.11  % prop_solver_time:                     0.001
% 4.88/5.11  % prop_fast_solver_time:                0.
% 4.88/5.11  % prop_unsat_core_time:                 0.
% 4.88/5.11  
% 4.88/5.11  % ------ QBF 
% 4.88/5.11  
% 4.88/5.11  % qbf_q_res:                            0
% 4.88/5.11  % qbf_num_tautologies:                  0
% 4.88/5.11  % qbf_prep_cycles:                      0
% 4.88/5.11  
% 4.88/5.11  % ------ BMC1
% 4.88/5.11  
% 4.88/5.11  % bmc1_current_bound:                   -1
% 4.88/5.11  % bmc1_last_solved_bound:               -1
% 4.88/5.11  % bmc1_unsat_core_size:                 -1
% 4.88/5.11  % bmc1_unsat_core_parents_size:         -1
% 4.88/5.11  % bmc1_merge_next_fun:                  0
% 4.88/5.11  % bmc1_unsat_core_clauses_time:         0.
% 4.88/5.11  
% 4.88/5.11  % ------ Instantiation
% 4.88/5.11  
% 4.88/5.11  % inst_num_of_clauses:                  1670
% 4.88/5.11  % inst_num_in_passive:                  0
% 4.88/5.11  % inst_num_in_active:                   0
% 4.88/5.11  % inst_num_in_unprocessed:              1928
% 4.88/5.11  % inst_num_of_loops:                    0
% 4.88/5.11  % inst_num_of_learning_restarts:        0
% 4.88/5.11  % inst_num_moves_active_passive:        0
% 4.88/5.11  % inst_lit_activity:                    0
% 4.88/5.11  % inst_lit_activity_moves:              0
% 4.88/5.11  % inst_num_tautologies:                 0
% 4.88/5.11  % inst_num_prop_implied:                0
% 4.88/5.11  % inst_num_existing_simplified:         0
% 4.88/5.11  % inst_num_eq_res_simplified:           0
% 4.88/5.11  % inst_num_child_elim:                  0
% 4.88/5.11  % inst_num_of_dismatching_blockings:    0
% 4.88/5.11  % inst_num_of_non_proper_insts:         0
% 4.88/5.11  % inst_num_of_duplicates:               0
% 4.88/5.11  % inst_inst_num_from_inst_to_res:       0
% 4.88/5.11  % inst_dismatching_checking_time:       0.
% 4.88/5.11  
% 4.88/5.11  % ------ Resolution
% 4.88/5.11  
% 4.88/5.11  % res_num_of_clauses:                   9632
% 4.88/5.11  % res_num_in_passive:                   7743
% 4.88/5.11  % res_num_in_active:                    886
% 4.88/5.11  % res_num_of_loops:                     211
% 4.88/5.11  % res_forward_subset_subsumed:          1502
% 4.88/5.11  % res_backward_subset_subsumed:         187
% 4.88/5.11  % res_forward_subsumed:                 31
% 4.88/5.11  % res_backward_subsumed:                6
% 4.88/5.11  % res_forward_subsumption_resolution:   42
% 4.88/5.11  % res_backward_subsumption_resolution:  0
% 4.88/5.11  % res_clause_to_clause_subsumption:     2839
% 4.88/5.11  % res_orphan_elimination:               0
% 4.88/5.11  % res_tautology_del:                    157
% 4.88/5.11  % res_num_eq_res_simplified:            58
% 4.88/5.11  % res_num_sel_changes:                  0
% 4.88/5.11  % res_moves_from_active_to_pass:        0
% 4.88/5.11  
% 4.88/5.11  % Status Unsatisfiable
% 4.88/5.11  % SZS status Theorem
% 4.88/5.11  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------