TSTP Solution File: ITP018+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n021.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 : Sat Jul 16 23:15:40 EDT 2022

% Result   : Theorem 1.01s 1.28s
% Output   : CNFRefutation 1.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  314 ( 116 unt;   0 def)
%            Number of atoms       :  614 ( 170 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  514 ( 214   ~; 240   |;  24   &)
%                                         (  28 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   48 (  48 usr;  24 con; 0-4 aty)
%            Number of variables   :  685 (  59 sgn 255   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2,X11,X3,X4,X5] : s(X11,app_2E2(s(tyop_2Emin_2Efun(X1,X11),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X2),tyop_2Emin_2Efun(X1,X11)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X11)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X2),tyop_2Emin_2Efun(X1,X11))),combin_s_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X11)),X3))),s(tyop_2Emin_2Efun(X1,X2),X4))),s(X1,X5))) = s(X11,app_2E2(s(tyop_2Emin_2Efun(X2,X11),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X11)),X3),s(X1,X5))),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X5))))),
    file('<stdin>',reserved_2Eho_2Es__thm) ).

fof(c_0_1,axiom,
    ! [X1,X2,X3,X4] :
      ( ! [X5] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X5))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X5)))
     => s(tyop_2Emin_2Efun(X1,X2),X3) = s(tyop_2Emin_2Efun(X1,X2),X4) ),
    file('<stdin>',reserved_2Eho_2Eeq__ext) ).

fof(c_0_2,axiom,
    ! [X1,X13,X14] :
      ( s(X1,X13) = s(X1,X14)
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X13))),s(X1,X14)))) ),
    file('<stdin>',arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a) ).

fof(c_0_3,axiom,
    ! [X13,X14] :
      ( ( p(s(tyop_2Emin_2Ebool,X13))
       => p(s(tyop_2Emin_2Ebool,X14)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X13))),s(tyop_2Emin_2Ebool,X14)))) ),
    file('<stdin>',arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2) ).

fof(c_0_4,axiom,
    ! [X13,X14] :
      ( ( p(s(tyop_2Emin_2Ebool,X13))
        | p(s(tyop_2Emin_2Ebool,X14)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X13))),s(tyop_2Emin_2Ebool,X14)))) ),
    file('<stdin>',arityeq2_2Ec_2Ebool_2E_5C_2F_2E2) ).

fof(c_0_5,axiom,
    ! [X13,X14] :
      ( ( p(s(tyop_2Emin_2Ebool,X13))
        & p(s(tyop_2Emin_2Ebool,X14)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X13))),s(tyop_2Emin_2Ebool,X14)))) ),
    file('<stdin>',arityeq2_2Ec_2Ebool_2E_2F_5C_2E2) ).

fof(c_0_6,axiom,
    ! [X1,X2,X9,X10] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X1)),combin_k_2E0),s(X1,X9))),s(X2,X10))) = s(X1,X9),
    file('<stdin>',reserved_2Eho_2Ek__thm) ).

fof(c_0_7,axiom,
    ! [X15,X16] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))),
    file('<stdin>',thm_2Ebinary__ieee_2Eulp) ).

fof(c_0_8,axiom,
    ! [X1,X2,X9] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))),
    file('<stdin>',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).

fof(c_0_9,axiom,
    ! [X15,X16,X13] : s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),X13))) = s(tyop_2Ebinary__ieee_2Efloat(X15,X16),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),tyop_2Ebinary__ieee_2Efloat(X15,X16)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),X13))),
    file('<stdin>',arityeq1_2Ec_2Ebinary__ieee_2Efloat__plus__min_2E1_2Emono_2EA_27t_20mono_2EA_27w) ).

fof(c_0_10,axiom,
    ! [X1,X3] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
    <=> ! [X12] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X12)))) ),
    file('<stdin>',reserved_2Equant_2E_21) ).

fof(c_0_11,axiom,
    ! [X15,X16,X13] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),X13))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),X13))),
    file('<stdin>',arityeq1_2Ec_2Ebinary__ieee_2Eulp_2E1_2Emono_2EA_27t_20mono_2EA_27w) ).

fof(c_0_12,axiom,
    ! [X1,X3] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
    <=> ? [X12] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X12)))) ),
    file('<stdin>',reserved_2Equant_2E_3F) ).

fof(c_0_13,axiom,
    ! [X15,X16,X13] : s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),X13))) = s(tyop_2Ebinary__ieee_2Efloat(X15,X16),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X15,X16),tyop_2Ebinary__ieee_2Efloat(X15,X16)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X15,X16),X13))),
    file('<stdin>',arityeq1_2Ec_2Ebinary__ieee_2Efloat__negate_2E1_2Emono_2EA_27t_20mono_2EA_27w) ).

fof(c_0_14,axiom,
    ! [X1,X2,X13] : s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X13))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X13))),
    file('<stdin>',arityeq1_2Ec_2Ebinary__ieee_2Efloat__negate_2E1_2Emono_2EA_27a_20mono_2EA_27b) ).

fof(c_0_15,axiom,
    ! [X15,X16,X13] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),X13))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X15,X16),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X15,X16),X13))),
    file('<stdin>',arityeq1_2Ec_2Ebinary__ieee_2Efloat__to__real_2E1_2Emono_2EA_27t_20mono_2EA_27w) ).

fof(c_0_16,axiom,
    ! [X1,X2,X13] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X13))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X13))),
    file('<stdin>',arityeq1_2Ec_2Ebinary__ieee_2Efloat__to__real_2E1_2Emono_2EA_27a_20mono_2EA_27b) ).

fof(c_0_17,axiom,
    ! [X13] :
      ( ~ p(s(tyop_2Emin_2Ebool,X13))
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X13)))) ),
    file('<stdin>',arityeq1_2Ec_2Ebool_2E_7E_2E1) ).

fof(c_0_18,axiom,
    ! [X1,X13] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))),
    file('<stdin>',arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a) ).

fof(c_0_19,axiom,
    ! [X1,X13] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))),
    file('<stdin>',arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a) ).

fof(c_0_20,axiom,
    ! [X6,X7] :
      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X6),s(tyop_2Emin_2Ebool,X7))))
    <=> ( p(s(tyop_2Emin_2Ebool,X6))
       => p(s(tyop_2Emin_2Ebool,X7)) ) ),
    file('<stdin>',reserved_2Elogic_2E_3D_3D_3E) ).

fof(c_0_21,axiom,
    ! [X1,X6,X7] :
      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X6),s(X1,X7))))
    <=> s(X1,X6) = s(X1,X7) ),
    file('<stdin>',reserved_2Elogic_2E_3D) ).

fof(c_0_22,axiom,
    ! [X6,X7] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X6),s(tyop_2Emin_2Ebool,X7))))
    <=> ( p(s(tyop_2Emin_2Ebool,X6))
        | p(s(tyop_2Emin_2Ebool,X7)) ) ),
    file('<stdin>',reserved_2Elogic_2E_5C_2F) ).

fof(c_0_23,axiom,
    ! [X6,X7] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X6),s(tyop_2Emin_2Ebool,X7))))
    <=> ( p(s(tyop_2Emin_2Ebool,X6))
        & p(s(tyop_2Emin_2Ebool,X7)) ) ),
    file('<stdin>',reserved_2Elogic_2E_2F_5C) ).

fof(c_0_24,axiom,
    ! [X13] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X13))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X13))),
    file('<stdin>',arityeq1_2Ec_2Erealax_2Ereal__neg_2E1) ).

fof(c_0_25,axiom,
    ! [X1,X9] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),combin_i_2E0),s(X1,X9))) = s(X1,X9),
    file('<stdin>',reserved_2Eho_2Ei__thm) ).

fof(c_0_26,axiom,
    ! [X6] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X6))))
    <=> ~ p(s(tyop_2Emin_2Ebool,X6)) ),
    file('<stdin>',reserved_2Elogic_2E_7E) ).

fof(c_0_27,axiom,
    ! [X6,X7] :
      ( ( p(s(tyop_2Emin_2Ebool,X6))
      <=> p(s(tyop_2Emin_2Ebool,X7)) )
     => s(tyop_2Emin_2Ebool,X6) = s(tyop_2Emin_2Ebool,X7) ),
    file('<stdin>',reserved_2Eho_2Eboolext) ).

fof(c_0_28,axiom,
    ! [X1,X9] :
      ( s(X1,X9) = s(X1,X9)
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    file('<stdin>',thm_2Ebool_2EREFL__CLAUSE) ).

fof(c_0_29,axiom,
    ! [X8] :
      ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      | s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    file('<stdin>',reserved_2Eho_2Ebool__cases__ax) ).

fof(c_0_30,axiom,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    file('<stdin>',reserved_2Eho_2Enotfalse) ).

fof(c_0_31,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    file('<stdin>',thm_2Ebool_2ETRUTH) ).

fof(c_0_32,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    file('<stdin>',reserved_2Eho_2Etruth) ).

fof(c_0_33,axiom,
    ! [X1,X2,X11,X3,X4,X5] : s(X11,app_2E2(s(tyop_2Emin_2Efun(X1,X11),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X2),tyop_2Emin_2Efun(X1,X11)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X11)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X2),tyop_2Emin_2Efun(X1,X11))),combin_s_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X11)),X3))),s(tyop_2Emin_2Efun(X1,X2),X4))),s(X1,X5))) = s(X11,app_2E2(s(tyop_2Emin_2Efun(X2,X11),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X11)),X3),s(X1,X5))),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X5))))),
    c_0_0 ).

fof(c_0_34,axiom,
    ! [X1,X2,X3,X4] :
      ( ! [X5] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X5))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X5)))
     => s(tyop_2Emin_2Efun(X1,X2),X3) = s(tyop_2Emin_2Efun(X1,X2),X4) ),
    c_0_1 ).

fof(c_0_35,axiom,
    ! [X1,X13,X14] :
      ( s(X1,X13) = s(X1,X14)
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X13))),s(X1,X14)))) ),
    c_0_2 ).

fof(c_0_36,axiom,
    ! [X13,X14] :
      ( ( p(s(tyop_2Emin_2Ebool,X13))
       => p(s(tyop_2Emin_2Ebool,X14)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X13))),s(tyop_2Emin_2Ebool,X14)))) ),
    c_0_3 ).

fof(c_0_37,axiom,
    ! [X13,X14] :
      ( ( p(s(tyop_2Emin_2Ebool,X13))
        | p(s(tyop_2Emin_2Ebool,X14)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X13))),s(tyop_2Emin_2Ebool,X14)))) ),
    c_0_4 ).

fof(c_0_38,axiom,
    ! [X13,X14] :
      ( ( p(s(tyop_2Emin_2Ebool,X13))
        & p(s(tyop_2Emin_2Ebool,X14)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X13))),s(tyop_2Emin_2Ebool,X14)))) ),
    c_0_5 ).

fof(c_0_39,axiom,
    ! [X1,X2,X9,X10] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X1)),combin_k_2E0),s(X1,X9))),s(X2,X10))) = s(X1,X9),
    c_0_6 ).

fof(c_0_40,axiom,
    ! [X15,X16] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))),
    c_0_7 ).

fof(c_0_41,axiom,
    ! [X1,X2,X9] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))),
    c_0_8 ).

fof(c_0_42,axiom,
    ! [X15,X16,X13] : s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),X13))) = s(tyop_2Ebinary__ieee_2Efloat(X15,X16),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),tyop_2Ebinary__ieee_2Efloat(X15,X16)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),X13))),
    c_0_9 ).

fof(c_0_43,axiom,
    ! [X1,X3] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
    <=> ! [X12] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X12)))) ),
    c_0_10 ).

fof(c_0_44,axiom,
    ! [X15,X16,X13] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),X13))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),X13))),
    c_0_11 ).

fof(c_0_45,axiom,
    ! [X1,X3] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
    <=> ? [X12] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X12)))) ),
    c_0_12 ).

fof(c_0_46,axiom,
    ! [X15,X16,X13] : s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),X13))) = s(tyop_2Ebinary__ieee_2Efloat(X15,X16),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X15,X16),tyop_2Ebinary__ieee_2Efloat(X15,X16)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X15,X16),X13))),
    c_0_13 ).

fof(c_0_47,axiom,
    ! [X1,X2,X13] : s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X13))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X13))),
    c_0_14 ).

fof(c_0_48,axiom,
    ! [X15,X16,X13] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),X13))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X15,X16),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X15,X16),X13))),
    c_0_15 ).

fof(c_0_49,axiom,
    ! [X1,X2,X13] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X13))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X13))),
    c_0_16 ).

fof(c_0_50,plain,
    ! [X13] :
      ( ~ p(s(tyop_2Emin_2Ebool,X13))
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X13)))) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_51,axiom,
    ! [X1,X13] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))),
    c_0_18 ).

fof(c_0_52,axiom,
    ! [X1,X13] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))),
    c_0_19 ).

fof(c_0_53,axiom,
    ! [X6,X7] :
      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X6),s(tyop_2Emin_2Ebool,X7))))
    <=> ( p(s(tyop_2Emin_2Ebool,X6))
       => p(s(tyop_2Emin_2Ebool,X7)) ) ),
    c_0_20 ).

fof(c_0_54,axiom,
    ! [X1,X6,X7] :
      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X6),s(X1,X7))))
    <=> s(X1,X6) = s(X1,X7) ),
    c_0_21 ).

fof(c_0_55,axiom,
    ! [X6,X7] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X6),s(tyop_2Emin_2Ebool,X7))))
    <=> ( p(s(tyop_2Emin_2Ebool,X6))
        | p(s(tyop_2Emin_2Ebool,X7)) ) ),
    c_0_22 ).

fof(c_0_56,axiom,
    ! [X6,X7] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X6),s(tyop_2Emin_2Ebool,X7))))
    <=> ( p(s(tyop_2Emin_2Ebool,X6))
        & p(s(tyop_2Emin_2Ebool,X7)) ) ),
    c_0_23 ).

fof(c_0_57,axiom,
    ! [X13] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X13))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X13))),
    c_0_24 ).

fof(c_0_58,axiom,
    ! [X1,X9] : s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),combin_i_2E0),s(X1,X9))) = s(X1,X9),
    c_0_25 ).

fof(c_0_59,plain,
    ! [X6] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X6))))
    <=> ~ p(s(tyop_2Emin_2Ebool,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_60,axiom,
    ! [X6,X7] :
      ( ( p(s(tyop_2Emin_2Ebool,X6))
      <=> p(s(tyop_2Emin_2Ebool,X7)) )
     => s(tyop_2Emin_2Ebool,X6) = s(tyop_2Emin_2Ebool,X7) ),
    c_0_27 ).

fof(c_0_61,axiom,
    ! [X1,X9] :
      ( s(X1,X9) = s(X1,X9)
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    c_0_28 ).

fof(c_0_62,axiom,
    ! [X8] :
      ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      | s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    c_0_29 ).

fof(c_0_63,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_64,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    c_0_31 ).

fof(c_0_65,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    c_0_32 ).

fof(c_0_66,plain,
    ! [X12,X13,X14,X15,X16,X17] : s(X14,app_2E2(s(tyop_2Emin_2Efun(X12,X14),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X12,X13),tyop_2Emin_2Efun(X12,X14)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X12,tyop_2Emin_2Efun(X13,X14)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X12,X13),tyop_2Emin_2Efun(X12,X14))),combin_s_2E0),s(tyop_2Emin_2Efun(X12,tyop_2Emin_2Efun(X13,X14)),X15))),s(tyop_2Emin_2Efun(X12,X13),X16))),s(X12,X17))) = s(X14,app_2E2(s(tyop_2Emin_2Efun(X13,X14),app_2E2(s(tyop_2Emin_2Efun(X12,tyop_2Emin_2Efun(X13,X14)),X15),s(X12,X17))),s(X13,app_2E2(s(tyop_2Emin_2Efun(X12,X13),X16),s(X12,X17))))),
    inference(variable_rename,[status(thm)],[c_0_33]) ).

fof(c_0_67,plain,
    ! [X6,X7,X8,X9] :
      ( s(X7,app_2E2(s(tyop_2Emin_2Efun(X6,X7),X8),s(X6,esk1_4(X6,X7,X8,X9)))) != s(X7,app_2E2(s(tyop_2Emin_2Efun(X6,X7),X9),s(X6,esk1_4(X6,X7,X8,X9))))
      | s(tyop_2Emin_2Efun(X6,X7),X8) = s(tyop_2Emin_2Efun(X6,X7),X9) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).

fof(c_0_68,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ( s(X15,X16) != s(X15,X17)
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X15,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X15,tyop_2Emin_2Efun(X15,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X15,X16))),s(X15,X17)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X18,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X18,tyop_2Emin_2Efun(X18,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X18,X19))),s(X18,X20))))
        | s(X18,X19) = s(X18,X20) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).

fof(c_0_69,plain,
    ! [X15,X16,X17,X18] :
      ( ( p(s(tyop_2Emin_2Ebool,X15))
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X15))),s(tyop_2Emin_2Ebool,X16)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X16))
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X15))),s(tyop_2Emin_2Ebool,X16)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X17))),s(tyop_2Emin_2Ebool,X18))))
        | ~ p(s(tyop_2Emin_2Ebool,X17))
        | p(s(tyop_2Emin_2Ebool,X18)) ) ),
    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_36])])])])]) ).

fof(c_0_70,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,X15))
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X15))),s(tyop_2Emin_2Ebool,X16)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X16))
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X15))),s(tyop_2Emin_2Ebool,X16)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X17))),s(tyop_2Emin_2Ebool,X18))))
        | p(s(tyop_2Emin_2Ebool,X17))
        | p(s(tyop_2Emin_2Ebool,X18)) ) ),
    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_37])])])])]) ).

fof(c_0_71,plain,
    ! [X15,X16,X17,X18] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,X15))
        | ~ p(s(tyop_2Emin_2Ebool,X16))
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X15))),s(tyop_2Emin_2Ebool,X16)))) )
      & ( p(s(tyop_2Emin_2Ebool,X17))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X17))),s(tyop_2Emin_2Ebool,X18)))) )
      & ( p(s(tyop_2Emin_2Ebool,X18))
        | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X17))),s(tyop_2Emin_2Ebool,X18)))) ) ),
    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_38])])])])]) ).

fof(c_0_72,plain,
    ! [X11,X12,X13,X14] : s(X11,app_2E2(s(tyop_2Emin_2Efun(X12,X11),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X12,X11)),combin_k_2E0),s(X11,X13))),s(X12,X14))) = s(X11,X13),
    inference(variable_rename,[status(thm)],[c_0_39]) ).

fof(c_0_73,plain,
    ! [X17,X18] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X17,X18),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),c_2Ebool_2Ethe__value_2E0))))),
    inference(variable_rename,[status(thm)],[c_0_40]) ).

fof(c_0_74,plain,
    ! [X10,X11,X12] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X10,X11),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X10,X11),X12))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X10,X11),X12))))),
    inference(variable_rename,[status(thm)],[c_0_41]) ).

fof(c_0_75,plain,
    ! [X17,X18,X19] : s(tyop_2Ebinary__ieee_2Efloat(X17,X18),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),X19))) = s(tyop_2Ebinary__ieee_2Efloat(X17,X18),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),tyop_2Ebinary__ieee_2Efloat(X17,X18)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),X19))),
    inference(variable_rename,[status(thm)],[c_0_42]) ).

fof(c_0_76,plain,
    ! [X13,X14,X15,X16,X17] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X14))))
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X14),s(X13,X15)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),X17),s(X16,esk2_2(X16,X17)))))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),X17)))) ) ),
    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_43])])])])]) ).

fof(c_0_77,plain,
    ! [X17,X18,X19] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),X19))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X17,X18)),X19))),
    inference(variable_rename,[status(thm)],[c_0_44]) ).

fof(c_0_78,plain,
    ! [X13,X14,X16,X17,X18] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X14))))
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X14),s(X13,esk3_2(X13,X14))))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),X17),s(X16,X18))))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),X17)))) ) ),
    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_45])])])])]) ).

fof(c_0_79,plain,
    ! [X17,X18,X19] : s(tyop_2Ebinary__ieee_2Efloat(X17,X18),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X17,X18),X19))) = s(tyop_2Ebinary__ieee_2Efloat(X17,X18),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X17,X18),tyop_2Ebinary__ieee_2Efloat(X17,X18)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X17,X18),X19))),
    inference(variable_rename,[status(thm)],[c_0_46]) ).

fof(c_0_80,plain,
    ! [X14,X15,X16] : s(tyop_2Ebinary__ieee_2Efloat(X14,X15),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14,X15),X16))) = s(tyop_2Ebinary__ieee_2Efloat(X14,X15),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X14,X15),tyop_2Ebinary__ieee_2Efloat(X14,X15)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X14,X15),X16))),
    inference(variable_rename,[status(thm)],[c_0_47]) ).

fof(c_0_81,plain,
    ! [X17,X18,X19] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X17,X18),X19))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X17,X18),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X17,X18),X19))),
    inference(variable_rename,[status(thm)],[c_0_48]) ).

fof(c_0_82,plain,
    ! [X14,X15,X16] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14,X15),X16))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X14,X15),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X14,X15),X16))),
    inference(variable_rename,[status(thm)],[c_0_49]) ).

fof(c_0_83,plain,
    ! [X14,X15] :
      ( ( p(s(tyop_2Emin_2Ebool,X14))
        | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X14)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X15))))
        | ~ p(s(tyop_2Emin_2Ebool,X15)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).

fof(c_0_84,plain,
    ! [X14,X15] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X14,tyop_2Emin_2Ebool),X15))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X14,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X14,tyop_2Emin_2Ebool),X15))),
    inference(variable_rename,[status(thm)],[c_0_51]) ).

fof(c_0_85,plain,
    ! [X14,X15] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X14,tyop_2Emin_2Ebool),X15))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X14,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X14,tyop_2Emin_2Ebool),X15))),
    inference(variable_rename,[status(thm)],[c_0_52]) ).

fof(c_0_86,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X8),s(tyop_2Emin_2Ebool,X9))))
        | ~ p(s(tyop_2Emin_2Ebool,X8))
        | p(s(tyop_2Emin_2Ebool,X9)) )
      & ( p(s(tyop_2Emin_2Ebool,X10))
        | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X10),s(tyop_2Emin_2Ebool,X11)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X11))
        | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X10),s(tyop_2Emin_2Ebool,X11)))) ) ),
    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_53])])])])]) ).

fof(c_0_87,plain,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X8,X9),s(X8,X10))))
        | s(X8,X9) = s(X8,X10) )
      & ( s(X11,X12) != s(X11,X13)
        | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X11,X12),s(X11,X13)))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])]) ).

fof(c_0_88,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X8),s(tyop_2Emin_2Ebool,X9))))
        | p(s(tyop_2Emin_2Ebool,X8))
        | p(s(tyop_2Emin_2Ebool,X9)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X10))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X10),s(tyop_2Emin_2Ebool,X11)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X11))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X10),s(tyop_2Emin_2Ebool,X11)))) ) ),
    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_55])])])])]) ).

fof(c_0_89,plain,
    ! [X8,X9,X10,X11] :
      ( ( p(s(tyop_2Emin_2Ebool,X8))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X8),s(tyop_2Emin_2Ebool,X9)))) )
      & ( p(s(tyop_2Emin_2Ebool,X9))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X8),s(tyop_2Emin_2Ebool,X9)))) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X10))
        | ~ p(s(tyop_2Emin_2Ebool,X11))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X10),s(tyop_2Emin_2Ebool,X11)))) ) ),
    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_56])])])])]) ).

fof(c_0_90,plain,
    ! [X14] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X14))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X14))),
    inference(variable_rename,[status(thm)],[c_0_57]) ).

fof(c_0_91,plain,
    ! [X10,X11] : s(X10,app_2E2(s(tyop_2Emin_2Efun(X10,X10),combin_i_2E0),s(X10,X11))) = s(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_58]) ).

fof(c_0_92,plain,
    ! [X7,X8] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X7))))
        | ~ p(s(tyop_2Emin_2Ebool,X7)) )
      & ( p(s(tyop_2Emin_2Ebool,X8))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X8)))) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).

fof(c_0_93,plain,
    ! [X8,X9] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,X8))
        | ~ p(s(tyop_2Emin_2Ebool,X9))
        | s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X9) )
      & ( p(s(tyop_2Emin_2Ebool,X8))
        | p(s(tyop_2Emin_2Ebool,X9))
        | s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])]) ).

fof(c_0_94,plain,
    ! [X10,X11,X12,X13] :
      ( ( s(X10,X11) != s(X10,X11)
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | s(X12,X13) = s(X12,X13) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).

fof(c_0_95,plain,
    ! [X9] :
      ( s(tyop_2Emin_2Ebool,X9) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      | s(tyop_2Emin_2Ebool,X9) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(variable_rename,[status(thm)],[c_0_62]) ).

fof(c_0_96,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    c_0_63 ).

fof(c_0_97,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    c_0_64 ).

fof(c_0_98,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    c_0_65 ).

cnf(c_0_99,plain,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1))),combin_s_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4))),s(tyop_2Emin_2Efun(X2,X3),X5))),s(X2,X6))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4),s(X2,X6))),s(X3,app_2E2(s(tyop_2Emin_2Efun(X2,X3),X5),s(X2,X6))))),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_100,plain,
    ( s(tyop_2Emin_2Efun(X1,X2),X3) = s(tyop_2Emin_2Efun(X1,X2),X4)
    | s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,esk1_4(X1,X2,X3,X4)))) != s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,esk1_4(X1,X2,X3,X4)))) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_101,plain,
    ( s(X1,X2) = s(X1,X3)
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_102,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_103,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_104,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_105,plain,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_106,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
    | s(X1,X2) != s(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_107,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_108,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_109,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_110,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_111,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_112,plain,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X1)),combin_k_2E0),s(X1,X3))),s(X2,X4))) = s(X1,X3),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_113,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_114,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_115,plain,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_116,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk2_2(X1,X2))))) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_117,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_118,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk3_2(X1,X2)))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_119,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_120,plain,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_121,plain,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_122,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_123,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_124,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_125,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_126,plain,
    s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_127,plain,
    s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_128,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_129,plain,
    ( s(X1,X2) = s(X1,X3)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_130,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_131,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_132,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_133,plain,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_134,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_135,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
    | s(X1,X2) != s(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_136,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_137,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_138,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_139,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_140,plain,
    s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X1))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X1))),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_141,plain,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),combin_i_2E0),s(X1,X2))) = s(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_142,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_143,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_144,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_145,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_146,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_147,plain,
    ( s(X1,X2) = s(X1,X2)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_148,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_149,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_150,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_151,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_152,plain,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1))),combin_s_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4))),s(tyop_2Emin_2Efun(X2,X3),X5))),s(X2,X6))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4),s(X2,X6))),s(X3,app_2E2(s(tyop_2Emin_2Efun(X2,X3),X5),s(X2,X6))))),
    c_0_99,
    [final] ).

cnf(c_0_153,plain,
    ( s(tyop_2Emin_2Efun(X1,X2),X3) = s(tyop_2Emin_2Efun(X1,X2),X4)
    | s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,esk1_4(X1,X2,X3,X4)))) != s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,esk1_4(X1,X2,X3,X4)))) ),
    c_0_100,
    [final] ).

cnf(c_0_154,plain,
    ( s(X1,X2) = s(X1,X3)
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
    c_0_101,
    [final] ).

cnf(c_0_155,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))) ),
    c_0_102,
    [final] ).

cnf(c_0_156,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))) ),
    c_0_103,
    [final] ).

cnf(c_0_157,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    c_0_104,
    [final] ).

cnf(c_0_158,plain,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    c_0_105,
    [final] ).

cnf(c_0_159,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
    | s(X1,X2) != s(X1,X3) ),
    c_0_106,
    [final] ).

cnf(c_0_160,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_107,
    [final] ).

cnf(c_0_161,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    c_0_108,
    [final] ).

cnf(c_0_162,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_109,
    [final] ).

cnf(c_0_163,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    c_0_110,
    [final] ).

cnf(c_0_164,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_111,
    [final] ).

cnf(c_0_165,plain,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X1)),combin_k_2E0),s(X1,X3))),s(X2,X4))) = s(X1,X3),
    c_0_112,
    [final] ).

cnf(c_0_166,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))),
    c_0_113,
    [final] ).

cnf(c_0_167,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))),
    c_0_114,
    [final] ).

cnf(c_0_168,plain,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))),
    c_0_115,
    [final] ).

cnf(c_0_169,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk2_2(X1,X2))))) ),
    c_0_116,
    [final] ).

cnf(c_0_170,plain,
    s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))),
    c_0_117,
    [final] ).

cnf(c_0_171,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk3_2(X1,X2)))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
    c_0_118,
    [final] ).

cnf(c_0_172,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
    c_0_119,
    [final] ).

cnf(c_0_173,plain,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    c_0_120,
    [final] ).

cnf(c_0_174,plain,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    c_0_121,
    [final] ).

cnf(c_0_175,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
    c_0_122,
    [final] ).

cnf(c_0_176,plain,
    s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    c_0_123,
    [final] ).

cnf(c_0_177,plain,
    s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    c_0_124,
    [final] ).

cnf(c_0_178,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1)))) ),
    c_0_125,
    [final] ).

cnf(c_0_179,plain,
    s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),
    c_0_126,
    [final] ).

cnf(c_0_180,plain,
    s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),
    c_0_127,
    [final] ).

cnf(c_0_181,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))) ),
    c_0_128,
    [final] ).

cnf(c_0_182,plain,
    ( s(X1,X2) = s(X1,X3)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3)))) ),
    c_0_129,
    [final] ).

cnf(c_0_183,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))) ),
    c_0_130,
    [final] ).

cnf(c_0_184,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_131,
    [final] ).

cnf(c_0_185,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    c_0_132,
    [final] ).

cnf(c_0_186,plain,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    c_0_133,
    [final] ).

cnf(c_0_187,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_134,
    [final] ).

cnf(c_0_188,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
    | s(X1,X2) != s(X1,X3) ),
    c_0_135,
    [final] ).

cnf(c_0_189,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    c_0_136,
    [final] ).

cnf(c_0_190,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_137,
    [final] ).

cnf(c_0_191,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    c_0_138,
    [final] ).

cnf(c_0_192,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_139,
    [final] ).

cnf(c_0_193,plain,
    s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X1))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X1))),
    c_0_140,
    [final] ).

cnf(c_0_194,plain,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),combin_i_2E0),s(X1,X2))) = s(X1,X2),
    c_0_141,
    [final] ).

cnf(c_0_195,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1)))) ),
    c_0_142,
    [final] ).

cnf(c_0_196,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_143,
    [final] ).

cnf(c_0_197,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_144,
    [final] ).

cnf(c_0_198,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    c_0_145,
    [final] ).

cnf(c_0_199,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | $false ),
    c_0_146,
    [final] ).

cnf(c_0_200,plain,
    ( s(X1,X2) = s(X1,X2)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    c_0_147,
    [final] ).

cnf(c_0_201,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    c_0_148,
    [final] ).

cnf(c_0_202,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    c_0_149,
    [final] ).

cnf(c_0_203,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    c_0_150,
    [final] ).

cnf(c_0_204,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    c_0_151,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_153_0,axiom,
    ( s(tyop_2Emin_2Efun(X1,X2),X3) = s(tyop_2Emin_2Efun(X1,X2),X4)
    | s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,sk1_esk1_4(X1,X2,X3,X4)))) != s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,sk1_esk1_4(X1,X2,X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_1,axiom,
    ( s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,sk1_esk1_4(X1,X2,X3,X4)))) != s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,sk1_esk1_4(X1,X2,X3,X4))))
    | s(tyop_2Emin_2Efun(X1,X2),X3) = s(tyop_2Emin_2Efun(X1,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_154_0,axiom,
    ( s(X1,X2) = s(X1,X3)
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
    | s(X1,X2) = s(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_155_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_2,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_156_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_1,axiom,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_2,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
    | p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_157_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_158_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_158_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_159_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
    | s(X1,X2) != s(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_159_1,axiom,
    ( s(X1,X2) != s(X1,X3)
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_160_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_2,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_161_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_161]) ).

cnf(c_0_161_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_161]) ).

cnf(c_0_162_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_162_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_163_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_163]) ).

cnf(c_0_163_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_163]) ).

cnf(c_0_164_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_1,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_169_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk2_2(X1,X2))))) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk2_2(X1,X2)))))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_171_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk3_2(X1,X2)))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_171_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk3_2(X1,X2))))) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_172_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_172]) ).

cnf(c_0_172_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_172]) ).

cnf(c_0_175_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_178_0,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_181_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_2,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_182_0,axiom,
    ( s(X1,X2) = s(X1,X3)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
    | s(X1,X2) = s(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_183_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_1,axiom,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_2,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
    | p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_184_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_1,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_185_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_186_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_187_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_2,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_188_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
    | s(X1,X2) != s(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_1,axiom,
    ( s(X1,X2) != s(X1,X3)
    | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_189_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_190_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_191_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_192_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_1,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_195_0,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_196_0,axiom,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_1,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_197_0,axiom,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X2))
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_2,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2))
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_198_0,axiom,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | p(s(tyop_2Emin_2Ebool,X2))
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_1,axiom,
    ( p(s(tyop_2Emin_2Ebool,X2))
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_2,axiom,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | p(s(tyop_2Emin_2Ebool,X2))
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_199_0,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_200_0,axiom,
    ( s(X1,X2) = s(X1,X2)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_1,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | s(X1,X2) = s(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_201_0,axiom,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_1,axiom,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_202_0,axiom,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_152_0,axiom,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1))),combin_s_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4))),s(tyop_2Emin_2Efun(X2,X3),X5))),s(X2,X6))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4),s(X2,X6))),s(X3,app_2E2(s(tyop_2Emin_2Efun(X2,X3),X5),s(X2,X6))))),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_165_0,axiom,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X1)),combin_k_2E0),s(X1,X3))),s(X2,X4))) = s(X1,X3),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_166_0,axiom,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_167_0,axiom,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_168_0,axiom,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_170_0,axiom,
    s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Eulp_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),X3))),
    inference(literals_permutation,[status(thm)],[c_0_170]) ).

cnf(c_0_173_0,axiom,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    inference(literals_permutation,[status(thm)],[c_0_173]) ).

cnf(c_0_174_0,axiom,
    s(tyop_2Ebinary__ieee_2Efloat(X1,X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Ebinary__ieee_2Efloat(X1,X2)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_176_0,axiom,
    s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_177_0,axiom,
    s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X1,X2),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_179_0,axiom,
    s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_180_0,axiom,
    s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_193_0,axiom,
    s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X1))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X1))),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_194_0,axiom,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),combin_i_2E0),s(X1,X2))) = s(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_203_0,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_204_0,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))))),
    file('<stdin>',thm_2Ebinary__ieee_2Eneg__ulp) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))))),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_004,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))))),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk1_0,esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk1_0,esk2_0)),c_2Ebool_2Ethe__value_2E0))))),
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_96,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p',c_0_4) ).

cnf(c_138,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))),
    inference(copy,[status(esa)],[c_96]) ).

cnf(c_142,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))),
    inference(copy,[status(esa)],[c_138]) ).

cnf(c_143,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))),
    inference(copy,[status(esa)],[c_142]) ).

cnf(c_144,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))),
    inference(copy,[status(esa)],[c_143]) ).

cnf(c_420,negated_conjecture,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk2_esk1_0,sk2_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))),
    inference(copy,[status(esa)],[c_144]) ).

cnf(c_421,plain,
    s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk2_esk1_0,sk2_esk2_0)),c_2Ebool_2Ethe__value_2E0))))),
    inference(rewriting,[status(thm)],[c_420]) ).

cnf(c_422,plain,
    $false,
    inference(equality_resolution_simp,[status(esa)],[c_421]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun  3 23:18:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % FOF problem with conjecture
% 0.20/0.41  % 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/sandbox2/tmp/iprover_proof_31b257.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_7c5236 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.66/0.84  % --bmc1_dump_unsat_core_tptp           false
% 0.66/0.84  % --bmc1_dump_file                      -
% 0.66/0.84  % --bmc1_ucm_expand_uc_limit            128
% 0.66/0.84  % --bmc1_ucm_n_expand_iterations        6
% 0.66/0.84  % --bmc1_ucm_extend_mode                1
% 0.66/0.84  % --bmc1_ucm_init_mode                  2
% 0.66/0.84  % --bmc1_ucm_cone_mode                  none
% 0.66/0.84  % --bmc1_ucm_reduced_relation_type      0
% 0.66/0.84  % --bmc1_ucm_relax_model                4
% 0.66/0.84  % --bmc1_ucm_full_tr_after_sat          true
% 0.66/0.84  % --bmc1_ucm_expand_neg_assumptions     false
% 0.66/0.84  % --bmc1_ucm_layered_model              none
% 0.66/0.84  % --bmc1_ucm_max_lemma_size             10
% 0.66/0.84  
% 0.66/0.84  % ------ AIG Options
% 0.66/0.84  
% 0.66/0.84  % --aig_mode                            false
% 0.66/0.84  
% 0.66/0.84  % ------ Instantiation Options
% 0.66/0.84  
% 0.66/0.84  % --instantiation_flag                  true
% 0.66/0.84  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.66/0.84  % --inst_solver_per_active              750
% 0.66/0.84  % --inst_solver_calls_frac              0.5
% 0.66/0.84  % --inst_passive_queue_type             priority_queues
% 0.66/0.84  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.66/0.84  % --inst_passive_queues_freq            [25;2]
% 0.66/0.84  % --inst_dismatching                    true
% 0.66/0.84  % --inst_eager_unprocessed_to_passive   true
% 0.66/0.84  % --inst_prop_sim_given                 true
% 0.66/0.84  % --inst_prop_sim_new                   false
% 0.66/0.84  % --inst_orphan_elimination             true
% 0.66/0.84  % --inst_learning_loop_flag             true
% 0.66/0.84  % --inst_learning_start                 3000
% 0.66/0.84  % --inst_learning_factor                2
% 0.66/0.84  % --inst_start_prop_sim_after_learn     3
% 0.66/0.84  % --inst_sel_renew                      solver
% 0.66/0.84  % --inst_lit_activity_flag              true
% 0.66/0.84  % --inst_out_proof                      true
% 0.66/0.84  
% 0.66/0.84  % ------ Resolution Options
% 0.66/0.84  
% 0.66/0.84  % --resolution_flag                     true
% 0.66/0.84  % --res_lit_sel                         kbo_max
% 0.66/0.84  % --res_to_prop_solver                  none
% 0.66/0.84  % --res_prop_simpl_new                  false
% 0.66/0.84  % --res_prop_simpl_given                false
% 0.66/0.84  % --res_passive_queue_type              priority_queues
% 0.66/0.84  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.66/0.84  % --res_passive_queues_freq             [15;5]
% 0.66/0.84  % --res_forward_subs                    full
% 0.66/0.84  % --res_backward_subs                   full
% 0.66/0.84  % --res_forward_subs_resolution         true
% 0.66/0.84  % --res_backward_subs_resolution        true
% 0.66/0.84  % --res_orphan_elimination              false
% 0.66/0.84  % --res_time_limit                      1000.
% 0.66/0.84  % --res_out_proof                       true
% 0.66/0.84  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_31b257.s
% 0.66/0.84  % --modulo                              true
% 0.66/0.84  
% 0.66/0.84  % ------ Combination Options
% 0.66/0.84  
% 0.66/0.84  % --comb_res_mult                       1000
% 0.66/0.84  % --comb_inst_mult                      300
% 0.66/0.84  % ------ 
% 0.66/0.84  
% 0.66/0.84  % ------ Parsing...% successful
% 0.66/0.84  
% 0.66/0.84  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.66/0.84  
% 0.66/0.84  % ------ Proving...
% 0.66/0.84  % ------ Problem Properties 
% 0.66/0.84  
% 0.66/0.84  % 
% 0.66/0.84  % EPR                                   false
% 0.66/0.84  % Horn                                  false
% 0.66/0.84  % Has equality                          true
% 0.66/0.84  
% 0.66/0.84  % % ------ Input Options Time Limit: Unbounded
% 0.66/0.84  
% 0.66/0.84  
% 0.66/0.84  Compiling...
% 0.66/0.84  Loading plugin: done.
% 0.66/0.84  % % ------ Current options:
% 0.66/0.84  
% 0.66/0.84  % ------ Input Options
% 0.66/0.84  
% 0.66/0.84  % --out_options                         all
% 0.66/0.84  % --tptp_safe_out                       true
% 0.66/0.84  % --problem_path                        ""
% 0.66/0.84  % --include_path                        ""
% 0.66/0.84  % --clausifier                          .//eprover
% 0.66/0.84  % --clausifier_options                  --tstp-format  
% 0.66/0.84  % --stdin                               false
% 0.66/0.84  % --dbg_backtrace                       false
% 0.66/0.84  % --dbg_dump_prop_clauses               false
% 0.66/0.84  % --dbg_dump_prop_clauses_file          -
% 0.66/0.84  % --dbg_out_stat                        false
% 0.66/0.84  
% 0.66/0.84  % ------ General Options
% 0.66/0.84  
% 0.66/0.84  % --fof                                 false
% 0.66/0.84  % --time_out_real                       150.
% 0.66/0.84  % --time_out_prep_mult                  0.2
% 0.66/0.84  % --time_out_virtual                    -1.
% 0.66/0.84  % --schedule                            none
% 0.66/0.84  % --ground_splitting                    input
% 0.66/0.84  % --splitting_nvd                       16
% 0.66/0.84  % --non_eq_to_eq                        false
% 0.66/0.84  % --prep_gs_sim                         true
% 0.66/0.84  % --prep_unflatten                      false
% 0.66/0.84  % --prep_res_sim                        true
% 0.66/0.84  % --prep_upred                          true
% 0.66/0.84  % --res_sim_input                       true
% 0.66/0.84  % --clause_weak_htbl                    true
% 0.66/0.84  % --gc_record_bc_elim                   false
% 0.66/0.84  % --symbol_type_check                   false
% 0.66/0.84  % --clausify_out                        false
% 0.66/0.84  % --large_theory_mode                   false
% 0.66/0.84  % --prep_sem_filter                     none
% 0.66/0.84  % --prep_sem_filter_out                 false
% 0.66/0.84  % --preprocessed_out                    false
% 0.66/0.84  % --sub_typing                          false
% 0.66/0.84  % --brand_transform                     false
% 0.66/0.84  % --pure_diseq_elim                     true
% 0.66/0.84  % --min_unsat_core                      false
% 0.66/0.84  % --pred_elim                           true
% 0.66/0.84  % --add_important_lit                   false
% 0.66/0.84  % --soft_assumptions                    false
% 0.66/0.84  % --reset_solvers                       false
% 0.66/0.84  % --bc_imp_inh                          []
% 0.66/0.84  % --conj_cone_tolerance                 1.5
% 0.66/0.84  % --prolific_symb_bound                 500
% 0.66/0.84  % --lt_threshold                        2000
% 0.66/0.84  
% 0.66/0.84  % ------ SAT Options
% 0.66/0.84  
% 0.66/0.84  % --sat_mode                            false
% 0.66/0.84  % --sat_fm_restart_options              ""
% 0.66/0.84  % --sat_gr_def                          false
% 0.66/0.84  % --sat_epr_types                       true
% 0.66/0.84  % --sat_non_cyclic_types                false
% 0.66/0.84  % --sat_finite_models                   false
% 0.66/0.84  % --sat_fm_lemmas                       false
% 0.66/0.84  % --sat_fm_prep                         false
% 0.66/0.84  % --sat_fm_uc_incr                      true
% 0.66/0.84  % --sat_out_model                       small
% 0.66/0.84  % --sat_out_clauses                     false
% 0.66/0.84  
% 0.66/0.84  % ------ QBF Options
% 0.66/0.84  
% 0.66/0.84  % --qbf_mode                            false
% 0.66/0.84  % --qbf_elim_univ                       true
% 0.66/0.84  % --qbf_sk_in                           true
% 0.66/0.84  % --qbf_pred_elim                       true
% 0.66/0.84  % --qbf_split                           32
% 0.66/0.84  
% 0.66/0.84  % ------ BMC1 Options
% 0.66/0.84  
% 0.66/0.84  % --bmc1_incremental                    false
% 0.66/0.84  % --bmc1_axioms                         reachable_all
% 0.66/0.84  % --bmc1_min_bound                      0
% 0.66/0.84  % --bmc1_max_bound                      -1
% 0.66/0.84  % --bmc1_max_bound_default              -1
% 0.66/0.84  % --bmc1_symbol_reachability            true
% 0.66/0.84  % --bmc1_property_lemmas                false
% 0.66/0.84  % --bmc1_k_induction                    false
% 0.66/0.84  % --bmc1_non_equiv_states               false
% 0.66/0.84  % --bmc1_deadlock                       false
% 0.66/0.84  % --bmc1_ucm                            false
% 0.66/0.84  % --bmc1_add_unsat_core                 none
% 0.66/0.84  % --bmc1_unsat_core_children            false
% 0.66/0.84  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.66/0.84  % --bmc1_out_stat                       full
% 0.66/0.84  % --bmc1_ground_init                    false
% 0.66/0.84  % --bmc1_pre_inst_next_state            false
% 0.66/0.84  % --bmc1_pre_inst_state                 false
% 0.66/0.84  % --bmc1_pre_inst_reach_state           false
% 0.66/0.84  % --bmc1_out_unsat_core                 false
% 0.66/0.84  % --bmc1_aig_witness_out                false
% 0.66/0.84  % --bmc1_verbose                        false
% 0.66/0.84  % --bmc1_dump_clauses_tptp              false
% 0.66/0.84  % --bmc1_dump_unsat_core_tptp           false
% 0.66/0.84  % --bmc1_dump_file                      -
% 0.66/0.84  % --bmc1_ucm_expand_uc_limit            128
% 0.66/0.84  % --bmc1_ucm_n_expand_iterations        6
% 0.66/0.84  % --bmc1_ucm_extend_mode                1
% 0.66/0.84  % --bmc1_ucm_init_mode                  2
% 0.66/0.84  % --bmc1_ucm_cone_mode                  none
% 0.66/0.84  % --bmc1_ucm_reduced_relation_type      0
% 0.66/0.84  % --bmc1_ucm_relax_model                4
% 0.66/0.84  % --bmc1_ucm_full_tr_after_sat          true
% 0.66/0.84  % --bmc1_ucm_expand_neg_assumptions     false
% 0.66/0.84  % --bmc1_ucm_layered_model              none
% 0.66/0.84  % --bmc1_ucm_max_lemma_size             10
% 0.66/0.84  
% 0.66/0.84  % ------ AIG Options
% 0.66/0.84  
% 0.66/0.84  % --aig_mode                            false
% 0.66/0.84  
% 0.66/0.84  % ------ Instantiation Options
% 0.66/0.84  
% 0.66/0.84  % --instantiation_flag                  true
% 0.66/0.84  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.66/0.84  % --inst_solver_per_active              750
% 0.66/0.84  % --inst_solver_calls_frac              0.5
% 0.66/0.84  % --inst_passive_queue_type             priority_queues
% 0.66/0.84  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.66/0.84  % --inst_passive_queues_freq            [25;2]
% 0.66/0.84  % --inst_dismatching                    true
% 0.66/0.84  % --inst_eager_unprocessed_to_passive   true
% 0.66/0.84  % --inst_prop_sim_given                 true
% 0.66/0.84  % --inst_prop_sim_new                   false
% 0.66/0.84  % --inst_orphan_elimination             true
% 0.66/0.84  % --inst_learning_loop_flag             true
% 0.66/0.84  % --inst_learning_start                 3000
% 0.66/0.84  % --inst_learning_factor                2
% 0.66/0.84  % --inst_start_prop_sim_after_learn     3
% 0.66/0.84  % --inst_sel_renew                      solver
% 0.66/0.84  % --inst_lit_activity_flag              true
% 0.66/0.84  % --inst_out_proof                      true
% 0.66/0.84  
% 0.66/0.84  % ------ Resolution Options
% 0.66/0.84  
% 0.66/0.84  % --resolution_flag                     true
% 0.66/0.84  % --res_lit_sel                         kbo_max
% 0.66/0.84  % --res_to_prop_solver                  none
% 0.66/0.84  % --res_prop_simpl_new                  false
% 0.66/0.84  % --res_prop_simpl_given                false
% 0.66/0.84  % --res_passive_queue_type              priority_queues
% 0.66/0.84  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.66/0.84  % --res_passive_queues_freq             [15;5]
% 0.66/0.84  % --res_forward_subs                    full
% 0.66/0.84  % --res_backward_subs                   full
% 0.66/0.84  % --res_forward_subs_resolution         true
% 0.66/0.84  % --res_backward_subs_resolution        true
% 0.66/0.84  % --res_orphan_elimination              false
% 0.66/0.84  % --res_time_limit                      1000.
% 0.66/0.84  % --res_out_proof                       true
% 0.66/0.84  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_31b257.s
% 0.66/0.84  % --modulo                              true
% 0.66/0.84  
% 0.66/0.84  % ------ Combination Options
% 0.66/0.84  
% 0.66/0.84  % --comb_res_mult                       1000
% 0.66/0.84  % --comb_inst_mult                      300
% 0.66/0.84  % ------ 
% 0.66/0.84  
% 0.66/0.84  
% 0.66/0.84  
% 0.66/0.84  % ------ Proving...
% 0.66/0.84  % warning:  shown sat in sat incomplete mode 
% 0.66/0.84  % 
% 0.66/0.84  
% 0.66/0.84  
% 0.66/0.84  
% 0.66/0.84  
% 0.66/0.84  cnf(c_54,negated_conjecture,
% 0.66/0.84      ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_4) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_97,negated_conjecture,
% 0.66/0.84      ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_54]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_101,negated_conjecture,
% 0.66/0.84      ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_97]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_102,negated_conjecture,
% 0.66/0.84      ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_101]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_103,negated_conjecture,
% 0.66/0.84      ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_102]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_254,negated_conjecture,
% 0.66/0.84      ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_103]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_255,plain,
% 0.66/0.84      ( s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_254]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_52,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2))))
% 0.66/0.84      | s(X0,X1) = s(X0,X2) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_189_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_250,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2))))
% 0.66/0.84      | s(X0,X1) = s(X0,X2) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_52]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_258,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))))),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0)))))))))) ),
% 0.66/0.84      inference(resolution,[status(thm)],[c_255,c_250]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_259,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__negate_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0))))))))),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),tyop_2Ebinary__ieee_2Efloat(sk3_esk1_0,sk3_esk2_0)),c_2Ebinary__ieee_2Efloat__plus__min_2E0),s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sk3_esk1_0,sk3_esk2_0)),c_2Ebool_2Ethe__value_2E0)))))))))) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_258]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_53,plain,
% 0.66/0.84      ( s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,sk1_esk1_4(X3,X2,X0,X1)))) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(X1,sk1_esk1_4(X3,X2,X0,X1))))
% 0.66/0.84      | s(tyop_2Emin_2Efun(X1,X0),X2) = s(tyop_2Emin_2Efun(X1,X0),X3) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_187_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_252,plain,
% 0.66/0.84      ( s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,sk1_esk1_4(X3,X2,X0,X1)))) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(X1,sk1_esk1_4(X3,X2,X0,X1))))
% 0.66/0.84      | s(tyop_2Emin_2Efun(X1,X0),X2) = s(tyop_2Emin_2Efun(X1,X0),X3) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_53]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_253,plain,
% 0.66/0.84      ( s(tyop_2Emin_2Efun(X0,X1),X2) = s(tyop_2Emin_2Efun(X0,X1),X3)
% 0.66/0.84      | s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sk1_esk1_4(X3,X2,X1,X0)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sk1_esk1_4(X3,X2,X1,X0)))) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_252]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_50,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sk1_esk2_2(X1,X0)))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_191_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_246,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sk1_esk2_2(X1,X0)))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_50]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_247,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sk1_esk2_2(X1,X0))))) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_246]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_49,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_192_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_244,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_49]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_245,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_244]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_48,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sk1_esk3_2(X1,X0)))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_193_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_242,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sk1_esk3_2(X1,X0)))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_48]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_243,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sk1_esk3_2(X1,X0))))) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_242]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_47,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_194_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_240,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_47]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_241,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_240]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_46,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_196_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_238,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_46]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_239,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_238]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_45,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_197_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_236,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_45]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_237,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_236]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_43,plain,
% 0.66/0.84      ( s(X0,X1) != s(X0,X2)
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_199_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_232,plain,
% 0.66/0.84      ( s(X0,X1) != s(X0,X2)
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_43]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_233,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))
% 0.66/0.84      | s(X0,X1) != s(X0,X2) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_232]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_42,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_200_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_230,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_42]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_231,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_230]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_41,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_201_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_228,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_41]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_229,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_228]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_40,plain,
% 0.66/0.84      ( s(X0,X1) = s(X0,X2)
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_202_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_226,plain,
% 0.66/0.84      ( s(X0,X1) = s(X0,X2)
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_40]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_227,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))
% 0.66/0.84      | s(X0,X1) = s(X0,X2) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_226]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_39,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_203_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_224,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_39]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_225,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_224]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_38,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_204_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_222,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_38]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_223,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_222]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_36,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_206_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_218,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_36]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_219,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_218]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_35,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_207_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_216,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_35]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_217,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_216]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_34,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_208_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_214,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_34]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_215,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_214]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_33,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_209_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_212,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_33]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_213,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_212]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_32,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_210_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_210,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_32]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_211,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_210]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_31,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_211_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_208,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_31]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_209,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_208]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_29,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_220_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_204,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_29]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_205,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_204]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_28,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_221_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_202,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_28]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_203,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_202]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_27,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_222_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_200,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_27]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_201,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_200]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_26,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_223_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_198,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_26]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_199,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_198]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_25,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_224_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_196,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.84      inference(copy,[status(esa)],[c_25]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_197,plain,
% 0.66/0.84      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0))),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.84      inference(rewriting,[status(thm)],[c_196]) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_24,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.84      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_225_0) ).
% 0.66/0.84  
% 0.66/0.84  cnf(c_194,plain,
% 0.66/0.84      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.84      | p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_24]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_195,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.85      inference(rewriting,[status(thm)],[c_194]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_23,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_226_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_192,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1)))) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_23]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_193,plain,
% 0.66/0.85      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.85      inference(rewriting,[status(thm)],[c_192]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_22,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_227_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_190,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_22]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_191,plain,
% 0.66/0.85      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X0),s(tyop_2Emin_2Ebool,X1))))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,X1)) ),
% 0.66/0.85      inference(rewriting,[status(thm)],[c_190]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_20,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_229_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_185,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_20]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_186,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0))))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.85      inference(rewriting,[status(thm)],[c_185]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_19,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_230_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_183,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0)))) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_19]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_184,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X0))))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,X0)) ),
% 0.66/0.85      inference(rewriting,[status(thm)],[c_183]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_51,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2))))
% 0.66/0.85      | s(X0,X1) != s(X0,X2) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_190_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_248,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X0,X1))),s(X0,X2))))
% 0.66/0.85      | s(X0,X1) != s(X0,X2) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_51]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_44,plain,
% 0.66/0.85      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | ~ p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.85      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_198_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_234,plain,
% 0.66/0.85      ( ~ p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | ~ p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.85      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_44]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_37,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.85      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_205_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_220,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,X0))
% 0.66/0.85      | p(s(tyop_2Emin_2Ebool,X1))
% 0.66/0.85      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_37]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_30,plain,
% 0.66/0.85      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) | s(X0,X1) = s(X0,X1) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_219_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_206,plain,
% 0.66/0.85      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) | s(X0,X1) = s(X0,X1) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_30]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_3,plain,
% 0.66/0.85      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_237_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_165,plain,
% 0.66/0.85      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_3]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_2,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_238_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_163,plain,
% 0.66/0.85      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_2]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_0,plain,
% 0.66/0.85      ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
% 0.66/0.85      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
% 0.66/0.85      file('/export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p', c_0_4_0) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_159,plain,
% 0.66/0.85      ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
% 0.66/0.85      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
% 0.66/0.85      inference(copy,[status(esa)],[c_0]) ).
% 0.66/0.85  
% 0.66/0.85  cnf(c_160,plain,
% 0.66/0.85      ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
% 0.66/0.85      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
% 0.66/0.85      inference(rewriting,[status(thm)],[c_159]) ).
% 0.66/0.85  
% 0.66/0.85  
% 0.66/0.85  
% 0.66/0.85  % ------                             Statistics
% 0.66/0.85  
% 0.66/0.85  % ------ General
% 0.66/0.85  
% 0.66/0.85  % num_of_input_clauses:                 55
% 0.66/0.85  % num_of_input_neg_conjectures:         1
% 0.66/0.85  % num_of_splits:                        0
% 0.66/0.85  % num_of_split_atoms:                   0
% 0.66/0.85  % num_of_sem_filtered_clauses:          0
% 0.66/0.85  % num_of_subtypes:                      0
% 0.66/0.85  % monotx_restored_types:                0
% 0.66/0.85  % sat_num_of_epr_types:                 0
% 0.66/0.85  % sat_num_of_non_cyclic_types:          0
% 0.66/0.85  % sat_guarded_non_collapsed_types:      0
% 0.66/0.85  % is_epr:                               0
% 0.66/0.85  % is_horn:                              0
% 0.66/0.85  % has_eq:                               1
% 0.66/0.85  % num_pure_diseq_elim:                  0
% 0.66/0.85  % simp_replaced_by:                     0
% 0.66/0.85  % res_preprocessed:                     2
% 0.66/0.85  % prep_upred:                           0
% 0.66/0.85  % prep_unflattend:                      0
% 0.66/0.85  % pred_elim_cands:                      0
% 0.66/0.85  % pred_elim:                            0
% 0.66/0.85  % pred_elim_cl:                         0
% 0.66/0.85  % pred_elim_cycles:                     0
% 0.66/0.85  % forced_gc_time:                       0
% 0.66/0.85  % gc_basic_clause_elim:                 0
% 0.66/0.85  % parsing_time:                         0.004
% 0.66/0.85  % sem_filter_time:                      0.
% 0.66/0.85  % pred_elim_time:                       0.
% 0.66/0.85  % out_proof_time:                       0.
% 0.66/0.85  % monotx_time:                          0.
% 0.66/0.85  % subtype_inf_time:                     0.
% 0.66/0.85  % unif_index_cands_time:                0.
% 0.66/0.85  % unif_index_add_time:                  0.
% 0.66/0.85  % total_time:                           0.43
% 0.66/0.85  % num_of_symbols:                       69
% 0.66/0.85  % num_of_terms:                         616
% 0.66/0.85  
% 0.66/0.85  % ------ Propositional Solver
% 0.66/0.85  
% 0.66/0.85  % prop_solver_calls:                    1
% 0.66/0.85  % prop_fast_solver_calls:               3
% 0.66/0.85  % prop_num_of_clauses:                  93
% 0.66/0.85  % prop_preprocess_simplified:           127
% 0.66/0.85  % prop_fo_subsumed:                     0
% 0.66/0.85  % prop_solver_time:                     0.
% 0.66/0.85  % prop_fast_solver_time:                0.
% 0.66/0.85  % prop_unsat_core_time:                 0.
% 0.66/0.85  
% 0.66/0.85  % ------ QBF 
% 0.66/0.85  
% 0.66/0.85  % qbf_q_res:                            0
% 0.66/0.85  % qbf_num_tautologies:                  0
% 0.66/0.85  % qbf_prep_cycles:                      0
% 0.66/0.85  
% 0.66/0.85  % ------ BMC1
% 0.66/0.85  
% 0.66/0.85  % bmc1_current_bound:                   -1
% 0.66/0.85  % bmc1_last_solved_bound:               -1
% 0.66/0.85  % bmc1_unsat_core_size:                 -1
% 0.66/0.85  % bmc1_unsat_core_parents_size:         -1
% 0.66/0.85  % bmc1_merge_next_fun:                  0
% 0.66/0.85  % bmc1_unsat_core_clauses_time:         0.
% 0.66/0.85  
% 0.66/0.85  % ------ Instantiation
% 0.66/0.85  
% 0.66/0.85  % inst_num_of_clauses:                  52
% 0.66/0.85  % inst_num_in_passive:                  0
% 0.66/0.85  % inst_num_in_active:                   0
% 0.66/0.85  % inst_num_in_unprocessed:              55
% 0.66/0.85  % inst_num_of_loops:                    0
% 0.66/0.85  % inst_num_of_learning_restarts:        0
% 0.66/0.85  % inst_num_moves_active_passive:        0
% 0.66/0.85  % inst_lit_activity:                    0
% 0.66/0.85  % inst_lit_activity_moves:              0
% 0.66/0.85  % inst_num_tautologies:                 0
% 0.66/0.85  % inst_num_prop_implied:                0
% 0.66/0.85  % inst_num_existing_simplified:         0
% 0.66/0.85  % inst_num_eq_res_simplified:           0
% 0.66/0.85  % inst_num_child_elim:                  0
% 0.66/0.85  % inst_num_of_dismatching_blockings:    0
% 0.66/0.85  % inst_num_of_non_proper_insts:         0
% 0.66/0.85  % inst_num_of_duplicates:               0
% 0.66/0.85  % inst_inst_num_from_inst_to_res:       0
% 0.66/0.85  % inst_dismatching_checking_time:       0.
% 0.66/0.85  
% 0.66/0.85  % ------ Resolution
% 0.66/0.85  
% 0.66/0.85  % res_num_of_clauses:                   83
% 0.66/0.85  % res_num_in_passive:                   0
% 0.66/0.85  % res_num_in_active:                    39
% 0.66/0.85  % res_num_of_loops:                     3
% 0.66/0.85  % res_forward_subset_subsumed:          3
% 0.66/0.85  % res_backward_subset_subsumed:         0
% 0.66/0.85  % res_forward_subsumed:                 0
% 0.66/0.85  % res_backward_subsumed:                0
% 0.66/0.85  % res_forward_subsumption_resolution:   0
% 0.66/0.85  % res_backward_subsumption_resolution:  0
% 0.66/0.85  % res_clause_to_clause_subsumption:     0
% 0.66/0.85  % res_orphan_elimination:               0
% 0.66/0.85  % res_tautology_del:                    0
% 0.66/0.85  % res_num_eq_res_simplified:            1
% 0.66/0.85  % res_num_sel_changes:                  0
% 0.66/0.85  % res_moves_from_active_to_pass:        0
% 0.66/0.85  
% 0.66/0.85  % Status Unknown
% 0.70/0.90  % Orienting using strategy ClausalAll
% 0.70/0.90  % FOF problem with conjecture
% 0.70/0.90  % 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/sandbox2/tmp/iprover_proof_31b257.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_a9b78c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_210df3 | grep -v "SZS"
% 0.70/0.92  
% 0.70/0.92  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.70/0.92  
% 0.70/0.92  % 
% 0.70/0.92  % ------  iProver source info 
% 0.70/0.92  
% 0.70/0.92  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.70/0.92  % git: non_committed_changes: true
% 0.70/0.92  % git: last_make_outside_of_git: true
% 0.70/0.92  
% 0.70/0.92  % 
% 0.70/0.92  % ------ Input Options
% 0.70/0.92  
% 0.70/0.92  % --out_options                         all
% 0.70/0.92  % --tptp_safe_out                       true
% 0.70/0.92  % --problem_path                        ""
% 0.70/0.92  % --include_path                        ""
% 0.70/0.92  % --clausifier                          .//eprover
% 0.70/0.92  % --clausifier_options                  --tstp-format  
% 0.70/0.92  % --stdin                               false
% 0.70/0.92  % --dbg_backtrace                       false
% 0.70/0.92  % --dbg_dump_prop_clauses               false
% 0.70/0.92  % --dbg_dump_prop_clauses_file          -
% 0.70/0.92  % --dbg_out_stat                        false
% 0.70/0.92  
% 0.70/0.92  % ------ General Options
% 0.70/0.92  
% 0.70/0.92  % --fof                                 false
% 0.70/0.92  % --time_out_real                       150.
% 0.70/0.92  % --time_out_prep_mult                  0.2
% 0.70/0.92  % --time_out_virtual                    -1.
% 0.70/0.92  % --schedule                            none
% 0.70/0.92  % --ground_splitting                    input
% 0.70/0.92  % --splitting_nvd                       16
% 0.70/0.92  % --non_eq_to_eq                        false
% 0.70/0.92  % --prep_gs_sim                         true
% 0.70/0.92  % --prep_unflatten                      false
% 0.70/0.92  % --prep_res_sim                        true
% 0.70/0.92  % --prep_upred                          true
% 0.70/0.92  % --res_sim_input                       true
% 0.70/0.92  % --clause_weak_htbl                    true
% 0.70/0.92  % --gc_record_bc_elim                   false
% 0.70/0.92  % --symbol_type_check                   false
% 0.70/0.92  % --clausify_out                        false
% 0.70/0.92  % --large_theory_mode                   false
% 0.70/0.92  % --prep_sem_filter                     none
% 0.70/0.92  % --prep_sem_filter_out                 false
% 0.70/0.92  % --preprocessed_out                    false
% 0.70/0.92  % --sub_typing                          false
% 0.70/0.92  % --brand_transform                     false
% 0.70/0.92  % --pure_diseq_elim                     true
% 0.70/0.92  % --min_unsat_core                      false
% 0.70/0.92  % --pred_elim                           true
% 0.70/0.92  % --add_important_lit                   false
% 0.70/0.92  % --soft_assumptions                    false
% 0.70/0.92  % --reset_solvers                       false
% 0.70/0.92  % --bc_imp_inh                          []
% 0.70/0.92  % --conj_cone_tolerance                 1.5
% 0.70/0.92  % --prolific_symb_bound                 500
% 0.70/0.92  % --lt_threshold                        2000
% 0.70/0.92  
% 0.70/0.92  % ------ SAT Options
% 0.70/0.92  
% 0.70/0.92  % --sat_mode                            false
% 0.70/0.92  % --sat_fm_restart_options              ""
% 0.70/0.92  % --sat_gr_def                          false
% 0.70/0.92  % --sat_epr_types                       true
% 0.70/0.92  % --sat_non_cyclic_types                false
% 0.70/0.92  % --sat_finite_models                   false
% 0.70/0.92  % --sat_fm_lemmas                       false
% 0.70/0.92  % --sat_fm_prep                         false
% 0.70/0.92  % --sat_fm_uc_incr                      true
% 0.70/0.92  % --sat_out_model                       small
% 0.70/0.92  % --sat_out_clauses                     false
% 0.70/0.92  
% 0.70/0.92  % ------ QBF Options
% 0.70/0.92  
% 0.70/0.92  % --qbf_mode                            false
% 0.70/0.92  % --qbf_elim_univ                       true
% 0.70/0.92  % --qbf_sk_in                           true
% 0.70/0.92  % --qbf_pred_elim                       true
% 0.70/0.92  % --qbf_split                           32
% 0.70/0.92  
% 0.70/0.92  % ------ BMC1 Options
% 0.70/0.92  
% 0.70/0.92  % --bmc1_incremental                    false
% 0.70/0.92  % --bmc1_axioms                         reachable_all
% 0.70/0.92  % --bmc1_min_bound                      0
% 0.70/0.92  % --bmc1_max_bound                      -1
% 0.70/0.92  % --bmc1_max_bound_default              -1
% 0.70/0.92  % --bmc1_symbol_reachability            true
% 0.70/0.92  % --bmc1_property_lemmas                false
% 0.70/0.92  % --bmc1_k_induction                    false
% 0.70/0.92  % --bmc1_non_equiv_states               false
% 0.70/0.92  % --bmc1_deadlock                       false
% 0.70/0.92  % --bmc1_ucm                            false
% 0.70/0.92  % --bmc1_add_unsat_core                 none
% 0.70/0.92  % --bmc1_unsat_core_children            false
% 0.70/0.92  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.70/0.92  % --bmc1_out_stat                       full
% 0.70/0.92  % --bmc1_ground_init                    false
% 0.70/0.92  % --bmc1_pre_inst_next_state            false
% 0.70/0.92  % --bmc1_pre_inst_state                 false
% 0.70/0.92  % --bmc1_pre_inst_reach_state           false
% 0.70/0.92  % --bmc1_out_unsat_core                 false
% 0.70/0.92  % --bmc1_aig_witness_out                false
% 0.70/0.92  % --bmc1_verbose                        false
% 0.70/0.92  % --bmc1_dump_clauses_tptp              false
% 1.01/1.28  % --bmc1_dump_unsat_core_tptp           false
% 1.01/1.28  % --bmc1_dump_file                      -
% 1.01/1.28  % --bmc1_ucm_expand_uc_limit            128
% 1.01/1.28  % --bmc1_ucm_n_expand_iterations        6
% 1.01/1.28  % --bmc1_ucm_extend_mode                1
% 1.01/1.28  % --bmc1_ucm_init_mode                  2
% 1.01/1.28  % --bmc1_ucm_cone_mode                  none
% 1.01/1.28  % --bmc1_ucm_reduced_relation_type      0
% 1.01/1.28  % --bmc1_ucm_relax_model                4
% 1.01/1.28  % --bmc1_ucm_full_tr_after_sat          true
% 1.01/1.28  % --bmc1_ucm_expand_neg_assumptions     false
% 1.01/1.28  % --bmc1_ucm_layered_model              none
% 1.01/1.28  % --bmc1_ucm_max_lemma_size             10
% 1.01/1.28  
% 1.01/1.28  % ------ AIG Options
% 1.01/1.28  
% 1.01/1.28  % --aig_mode                            false
% 1.01/1.28  
% 1.01/1.28  % ------ Instantiation Options
% 1.01/1.28  
% 1.01/1.28  % --instantiation_flag                  true
% 1.01/1.28  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.01/1.28  % --inst_solver_per_active              750
% 1.01/1.28  % --inst_solver_calls_frac              0.5
% 1.01/1.28  % --inst_passive_queue_type             priority_queues
% 1.01/1.28  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.01/1.28  % --inst_passive_queues_freq            [25;2]
% 1.01/1.28  % --inst_dismatching                    true
% 1.01/1.28  % --inst_eager_unprocessed_to_passive   true
% 1.01/1.28  % --inst_prop_sim_given                 true
% 1.01/1.28  % --inst_prop_sim_new                   false
% 1.01/1.28  % --inst_orphan_elimination             true
% 1.01/1.28  % --inst_learning_loop_flag             true
% 1.01/1.28  % --inst_learning_start                 3000
% 1.01/1.28  % --inst_learning_factor                2
% 1.01/1.28  % --inst_start_prop_sim_after_learn     3
% 1.01/1.28  % --inst_sel_renew                      solver
% 1.01/1.28  % --inst_lit_activity_flag              true
% 1.01/1.28  % --inst_out_proof                      true
% 1.01/1.28  
% 1.01/1.28  % ------ Resolution Options
% 1.01/1.28  
% 1.01/1.28  % --resolution_flag                     true
% 1.01/1.28  % --res_lit_sel                         kbo_max
% 1.01/1.28  % --res_to_prop_solver                  none
% 1.01/1.28  % --res_prop_simpl_new                  false
% 1.01/1.28  % --res_prop_simpl_given                false
% 1.01/1.28  % --res_passive_queue_type              priority_queues
% 1.01/1.28  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.01/1.28  % --res_passive_queues_freq             [15;5]
% 1.01/1.28  % --res_forward_subs                    full
% 1.01/1.28  % --res_backward_subs                   full
% 1.01/1.28  % --res_forward_subs_resolution         true
% 1.01/1.28  % --res_backward_subs_resolution        true
% 1.01/1.28  % --res_orphan_elimination              false
% 1.01/1.28  % --res_time_limit                      1000.
% 1.01/1.28  % --res_out_proof                       true
% 1.01/1.28  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_31b257.s
% 1.01/1.28  % --modulo                              true
% 1.01/1.28  
% 1.01/1.28  % ------ Combination Options
% 1.01/1.28  
% 1.01/1.28  % --comb_res_mult                       1000
% 1.01/1.28  % --comb_inst_mult                      300
% 1.01/1.28  % ------ 
% 1.01/1.28  
% 1.01/1.28  % ------ Parsing...% successful
% 1.01/1.28  
% 1.01/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 1.01/1.28  
% 1.01/1.28  % ------ Proving...
% 1.01/1.28  % ------ Problem Properties 
% 1.01/1.28  
% 1.01/1.28  % 
% 1.01/1.28  % EPR                                   false
% 1.01/1.28  % Horn                                  false
% 1.01/1.28  % Has equality                          true
% 1.01/1.28  
% 1.01/1.28  % % ------ Input Options Time Limit: Unbounded
% 1.01/1.28  
% 1.01/1.28  
% 1.01/1.28  Compiling...
% 1.01/1.28  Loading plugin: done.
% 1.01/1.28  % 
% 1.01/1.28  
% 1.01/1.28  
% 1.01/1.28  %  Resolution empty clause
% 1.01/1.28  
% 1.01/1.28  % ------                             Statistics
% 1.01/1.28  
% 1.01/1.28  % ------ General
% 1.01/1.28  
% 1.01/1.28  % num_of_input_clauses:                 97
% 1.01/1.28  % num_of_input_neg_conjectures:         1
% 1.01/1.28  % num_of_splits:                        0
% 1.01/1.28  % num_of_split_atoms:                   0
% 1.01/1.28  % num_of_sem_filtered_clauses:          0
% 1.01/1.28  % num_of_subtypes:                      0
% 1.01/1.28  % monotx_restored_types:                0
% 1.01/1.28  % sat_num_of_epr_types:                 0
% 1.01/1.28  % sat_num_of_non_cyclic_types:          0
% 1.01/1.28  % sat_guarded_non_collapsed_types:      0
% 1.01/1.28  % is_epr:                               0
% 1.01/1.28  % is_horn:                              0
% 1.01/1.28  % has_eq:                               1
% 1.01/1.28  % num_pure_diseq_elim:                  0
% 1.01/1.28  % simp_replaced_by:                     0
% 1.01/1.28  % res_preprocessed:                     2
% 1.01/1.28  % prep_upred:                           0
% 1.01/1.28  % prep_unflattend:                      0
% 1.01/1.28  % pred_elim_cands:                      0
% 1.01/1.28  % pred_elim:                            0
% 1.01/1.28  % pred_elim_cl:                         0
% 1.01/1.28  % pred_elim_cycles:                     0
% 1.01/1.28  % forced_gc_time:                       0
% 1.01/1.28  % gc_basic_clause_elim:                 0
% 1.01/1.28  % parsing_time:                         0.007
% 1.01/1.28  % sem_filter_time:                      0.
% 1.01/1.28  % pred_elim_time:                       0.
% 1.01/1.28  % out_proof_time:                       0.
% 1.01/1.28  % monotx_time:                          0.
% 1.01/1.28  % subtype_inf_time:                     0.
% 1.01/1.28  % unif_index_cands_time:                0.
% 1.01/1.28  % unif_index_add_time:                  0.
% 1.01/1.28  % total_time:                           0.378
% 1.01/1.28  % num_of_symbols:                       69
% 1.01/1.28  % num_of_terms:                         481
% 1.01/1.28  
% 1.01/1.28  % ------ Propositional Solver
% 1.01/1.28  
% 1.01/1.28  % prop_solver_calls:                    1
% 1.01/1.28  % prop_fast_solver_calls:               3
% 1.01/1.28  % prop_num_of_clauses:                  102
% 1.01/1.28  % prop_preprocess_simplified:           284
% 1.01/1.28  % prop_fo_subsumed:                     0
% 1.01/1.28  % prop_solver_time:                     0.
% 1.01/1.28  % prop_fast_solver_time:                0.
% 1.01/1.28  % prop_unsat_core_time:                 0.
% 1.01/1.28  
% 1.01/1.28  % ------ QBF 
% 1.01/1.28  
% 1.01/1.28  % qbf_q_res:                            0
% 1.01/1.28  % qbf_num_tautologies:                  0
% 1.01/1.28  % qbf_prep_cycles:                      0
% 1.01/1.28  
% 1.01/1.28  % ------ BMC1
% 1.01/1.28  
% 1.01/1.28  % bmc1_current_bound:                   -1
% 1.01/1.28  % bmc1_last_solved_bound:               -1
% 1.01/1.28  % bmc1_unsat_core_size:                 -1
% 1.01/1.28  % bmc1_unsat_core_parents_size:         -1
% 1.01/1.28  % bmc1_merge_next_fun:                  0
% 1.01/1.28  % bmc1_unsat_core_clauses_time:         0.
% 1.01/1.28  
% 1.01/1.28  % ------ Instantiation
% 1.01/1.28  
% 1.01/1.28  % inst_num_of_clauses:                  93
% 1.01/1.28  % inst_num_in_passive:                  0
% 1.01/1.28  % inst_num_in_active:                   0
% 1.01/1.28  % inst_num_in_unprocessed:              97
% 1.01/1.28  % inst_num_of_loops:                    0
% 1.01/1.28  % inst_num_of_learning_restarts:        0
% 1.01/1.28  % inst_num_moves_active_passive:        0
% 1.01/1.28  % inst_lit_activity:                    0
% 1.01/1.28  % inst_lit_activity_moves:              0
% 1.01/1.28  % inst_num_tautologies:                 0
% 1.01/1.28  % inst_num_prop_implied:                0
% 1.01/1.28  % inst_num_existing_simplified:         0
% 1.01/1.28  % inst_num_eq_res_simplified:           0
% 1.01/1.28  % inst_num_child_elim:                  0
% 1.01/1.28  % inst_num_of_dismatching_blockings:    0
% 1.01/1.28  % inst_num_of_non_proper_insts:         0
% 1.01/1.28  % inst_num_of_duplicates:               0
% 1.01/1.28  % inst_inst_num_from_inst_to_res:       0
% 1.01/1.28  % inst_dismatching_checking_time:       0.
% 1.01/1.28  
% 1.01/1.28  % ------ Resolution
% 1.01/1.28  
% 1.01/1.28  % res_num_of_clauses:                   97
% 1.01/1.28  % res_num_in_passive:                   0
% 1.01/1.28  % res_num_in_active:                    45
% 1.01/1.28  % res_num_of_loops:                     0
% 1.01/1.28  % res_forward_subset_subsumed:          37
% 1.01/1.28  % res_backward_subset_subsumed:         0
% 1.01/1.28  % res_forward_subsumed:                 0
% 1.01/1.28  % res_backward_subsumed:                0
% 1.01/1.28  % res_forward_subsumption_resolution:   0
% 1.01/1.28  % res_backward_subsumption_resolution:  0
% 1.01/1.28  % res_clause_to_clause_subsumption:     0
% 1.01/1.28  % res_orphan_elimination:               0
% 1.01/1.28  % res_tautology_del:                    0
% 1.01/1.28  % res_num_eq_res_simplified:            0
% 1.01/1.28  % res_num_sel_changes:                  0
% 1.01/1.28  % res_moves_from_active_to_pass:        0
% 1.01/1.28  
% 1.01/1.28  % Status Unsatisfiable
% 1.01/1.28  % SZS status Theorem
% 1.01/1.28  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------