TSTP Solution File: LAT361+1 by E---3.1

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%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:08:54 EDT 2023

% Result   : Theorem 1.58s 0.67s
% Output   : CNFRefutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   88 (   3 unt;   0 def)
%            Number of atoms       :  575 (  36 equ)
%            Maximal formula atoms :   26 (   6 avg)
%            Number of connectives :  685 ( 198   ~; 235   |; 207   &)
%                                         (   0 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   29 (  27 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-5 aty)
%            Number of variables   :  109 (   0 sgn;  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t21_functor1,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_altcat_1(X1)
        & v12_altcat_1(X1)
        & v1_altcat_2(X1)
        & l2_altcat_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_altcat_1(X2)
            & v12_altcat_1(X2)
            & v1_altcat_2(X2)
            & l2_altcat_1(X2) )
         => ! [X3] :
              ( ( v8_functor0(X3,X1,X2)
                & l2_functor0(X3,X1,X2) )
             => ( v21_functor0(X3,X1,X2)
               => ! [X4] :
                    ( ( v8_functor0(X4,X2,X1)
                      & l2_functor0(X4,X2,X1) )
                   => ( g2_functor0(X2,X1,u1_functor0(X2,X1,X4),u2_functor0(X2,X1,X4)) = k15_functor0(X1,X2,X3)
                     => k13_functor0(X2,X1,X2,X4,X3) = k12_functor0(X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',t21_functor1) ).

fof(cc2_functor0,axiom,
    ! [X1] :
      ( l2_altcat_1(X1)
     => ( ( ~ v3_struct_0(X1)
          & v12_altcat_1(X1) )
       => ( ~ v3_struct_0(X1)
          & v1_altcat_2(X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',cc2_functor0) ).

fof(dt_m2_functor0,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v2_altcat_1(X1)
        & v12_altcat_1(X1)
        & l2_altcat_1(X1)
        & ~ v3_struct_0(X2)
        & v12_altcat_1(X2)
        & l2_altcat_1(X2) )
     => ! [X3] :
          ( m2_functor0(X3,X1,X2)
         => l2_functor0(X3,X1,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',dt_m2_functor0) ).

fof(dt_k7_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v16_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & m2_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',dt_k7_waybel34) ).

fof(fc6_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( ~ v3_struct_0(k5_waybel34(X1))
        & v2_altcat_1(k5_waybel34(X1))
        & v6_altcat_1(k5_waybel34(X1))
        & v9_altcat_1(k5_waybel34(X1))
        & v11_altcat_1(k5_waybel34(X1))
        & v12_altcat_1(k5_waybel34(X1))
        & v1_altcat_2(k5_waybel34(X1))
        & v2_yellow18(k5_waybel34(X1))
        & v3_yellow18(k5_waybel34(X1))
        & v4_yellow18(k5_waybel34(X1))
        & v1_yellow21(k5_waybel34(X1))
        & v2_yellow21(k5_waybel34(X1))
        & v3_yellow21(k5_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',fc6_waybel34) ).

fof(fc5_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( ~ v3_struct_0(k4_waybel34(X1))
        & v2_altcat_1(k4_waybel34(X1))
        & v6_altcat_1(k4_waybel34(X1))
        & v9_altcat_1(k4_waybel34(X1))
        & v11_altcat_1(k4_waybel34(X1))
        & v12_altcat_1(k4_waybel34(X1))
        & v1_altcat_2(k4_waybel34(X1))
        & v2_yellow18(k4_waybel34(X1))
        & v3_yellow18(k4_waybel34(X1))
        & v4_yellow18(k4_waybel34(X1))
        & v1_yellow21(k4_waybel34(X1))
        & v2_yellow21(k4_waybel34(X1))
        & v3_yellow21(k4_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',fc5_waybel34) ).

fof(abstractness_v9_functor0,axiom,
    ! [X1,X2,X3] :
      ( ( l1_altcat_1(X1)
        & l1_altcat_1(X2)
        & l2_functor0(X3,X1,X2) )
     => ( v9_functor0(X3,X1,X2)
       => X3 = g2_functor0(X1,X2,u1_functor0(X1,X2,X3),u2_functor0(X1,X2,X3)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',abstractness_v9_functor0) ).

fof(dt_l2_altcat_1,axiom,
    ! [X1] :
      ( l2_altcat_1(X1)
     => l1_altcat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',dt_l2_altcat_1) ).

fof(t18_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
        & k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',t18_waybel34) ).

fof(fc8_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( v6_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v8_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v11_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v12_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v14_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v16_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v21_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',fc8_waybel34) ).

fof(dt_k6_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',dt_k6_waybel34) ).

fof(t19_waybel34,conjecture,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( k13_functor0(k5_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1),k7_waybel34(X1),k6_waybel34(X1)) = k12_functor0(k5_waybel34(X1))
        & k13_functor0(k4_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1),k6_waybel34(X1),k7_waybel34(X1)) = k12_functor0(k4_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',t19_waybel34) ).

fof(fc7_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',fc7_waybel34) ).

fof(dt_k4_waybel34,axiom,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ( ~ v3_struct_0(k4_waybel34(X1))
        & v2_altcat_1(k4_waybel34(X1))
        & v6_altcat_1(k4_waybel34(X1))
        & v11_altcat_1(k4_waybel34(X1))
        & v12_altcat_1(k4_waybel34(X1))
        & v2_yellow21(k4_waybel34(X1))
        & l2_altcat_1(k4_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',dt_k4_waybel34) ).

fof(dt_k5_waybel34,axiom,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ( ~ v3_struct_0(k5_waybel34(X1))
        & v2_altcat_1(k5_waybel34(X1))
        & v6_altcat_1(k5_waybel34(X1))
        & v11_altcat_1(k5_waybel34(X1))
        & v12_altcat_1(k5_waybel34(X1))
        & v2_yellow21(k5_waybel34(X1))
        & l2_altcat_1(k5_waybel34(X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',dt_k5_waybel34) ).

fof(cc2_setfam_1,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p',cc2_setfam_1) ).

fof(c_0_16,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_altcat_1(X1)
        & v12_altcat_1(X1)
        & v1_altcat_2(X1)
        & l2_altcat_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_altcat_1(X2)
            & v12_altcat_1(X2)
            & v1_altcat_2(X2)
            & l2_altcat_1(X2) )
         => ! [X3] :
              ( ( v8_functor0(X3,X1,X2)
                & l2_functor0(X3,X1,X2) )
             => ( v21_functor0(X3,X1,X2)
               => ! [X4] :
                    ( ( v8_functor0(X4,X2,X1)
                      & l2_functor0(X4,X2,X1) )
                   => ( g2_functor0(X2,X1,u1_functor0(X2,X1,X4),u2_functor0(X2,X1,X4)) = k15_functor0(X1,X2,X3)
                     => k13_functor0(X2,X1,X2,X4,X3) = k12_functor0(X2) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t21_functor1]) ).

fof(c_0_17,plain,
    ! [X1] :
      ( l2_altcat_1(X1)
     => ( ( ~ v3_struct_0(X1)
          & v12_altcat_1(X1) )
       => ( ~ v3_struct_0(X1)
          & v1_altcat_2(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc2_functor0]) ).

fof(c_0_18,plain,
    ! [X12,X13,X14,X15] :
      ( v3_struct_0(X12)
      | ~ v2_altcat_1(X12)
      | ~ v12_altcat_1(X12)
      | ~ v1_altcat_2(X12)
      | ~ l2_altcat_1(X12)
      | v3_struct_0(X13)
      | ~ v2_altcat_1(X13)
      | ~ v12_altcat_1(X13)
      | ~ v1_altcat_2(X13)
      | ~ l2_altcat_1(X13)
      | ~ v8_functor0(X14,X12,X13)
      | ~ l2_functor0(X14,X12,X13)
      | ~ v21_functor0(X14,X12,X13)
      | ~ v8_functor0(X15,X13,X12)
      | ~ l2_functor0(X15,X13,X12)
      | g2_functor0(X13,X12,u1_functor0(X13,X12,X15),u2_functor0(X13,X12,X15)) != k15_functor0(X12,X13,X14)
      | k13_functor0(X13,X12,X13,X15,X14) = k12_functor0(X13) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

fof(c_0_19,plain,
    ! [X102] :
      ( ( ~ v3_struct_0(X102)
        | v3_struct_0(X102)
        | ~ v12_altcat_1(X102)
        | ~ l2_altcat_1(X102) )
      & ( v1_altcat_2(X102)
        | v3_struct_0(X102)
        | ~ v12_altcat_1(X102)
        | ~ l2_altcat_1(X102) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).

fof(c_0_20,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v2_altcat_1(X1)
        & v12_altcat_1(X1)
        & l2_altcat_1(X1)
        & ~ v3_struct_0(X2)
        & v12_altcat_1(X2)
        & l2_altcat_1(X2) )
     => ! [X3] :
          ( m2_functor0(X3,X1,X2)
         => l2_functor0(X3,X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[dt_m2_functor0]) ).

fof(c_0_21,plain,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v16_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & m2_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k7_waybel34]) ).

fof(c_0_22,plain,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( ~ v3_struct_0(k5_waybel34(X1))
        & v2_altcat_1(k5_waybel34(X1))
        & v6_altcat_1(k5_waybel34(X1))
        & v9_altcat_1(k5_waybel34(X1))
        & v11_altcat_1(k5_waybel34(X1))
        & v12_altcat_1(k5_waybel34(X1))
        & v1_altcat_2(k5_waybel34(X1))
        & v2_yellow18(k5_waybel34(X1))
        & v3_yellow18(k5_waybel34(X1))
        & v4_yellow18(k5_waybel34(X1))
        & v1_yellow21(k5_waybel34(X1))
        & v2_yellow21(k5_waybel34(X1))
        & v3_yellow21(k5_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc6_waybel34]) ).

fof(c_0_23,plain,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( ~ v3_struct_0(k4_waybel34(X1))
        & v2_altcat_1(k4_waybel34(X1))
        & v6_altcat_1(k4_waybel34(X1))
        & v9_altcat_1(k4_waybel34(X1))
        & v11_altcat_1(k4_waybel34(X1))
        & v12_altcat_1(k4_waybel34(X1))
        & v1_altcat_2(k4_waybel34(X1))
        & v2_yellow18(k4_waybel34(X1))
        & v3_yellow18(k4_waybel34(X1))
        & v4_yellow18(k4_waybel34(X1))
        & v1_yellow21(k4_waybel34(X1))
        & v2_yellow21(k4_waybel34(X1))
        & v3_yellow21(k4_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc5_waybel34]) ).

cnf(c_0_24,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | k13_functor0(X2,X1,X2,X4,X3) = k12_functor0(X2)
    | ~ v2_altcat_1(X1)
    | ~ v12_altcat_1(X1)
    | ~ v1_altcat_2(X1)
    | ~ l2_altcat_1(X1)
    | ~ v2_altcat_1(X2)
    | ~ v12_altcat_1(X2)
    | ~ v1_altcat_2(X2)
    | ~ l2_altcat_1(X2)
    | ~ v8_functor0(X3,X1,X2)
    | ~ l2_functor0(X3,X1,X2)
    | ~ v21_functor0(X3,X1,X2)
    | ~ v8_functor0(X4,X2,X1)
    | ~ l2_functor0(X4,X2,X1)
    | g2_functor0(X2,X1,u1_functor0(X2,X1,X4),u2_functor0(X2,X1,X4)) != k15_functor0(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ( v1_altcat_2(X1)
    | v3_struct_0(X1)
    | ~ v12_altcat_1(X1)
    | ~ l2_altcat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_26,plain,
    ! [X123,X124,X125] :
      ( ~ l1_altcat_1(X123)
      | ~ l1_altcat_1(X124)
      | ~ l2_functor0(X125,X123,X124)
      | ~ v9_functor0(X125,X123,X124)
      | X125 = g2_functor0(X123,X124,u1_functor0(X123,X124,X125),u2_functor0(X123,X124,X125)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v9_functor0])]) ).

fof(c_0_27,plain,
    ! [X103] :
      ( ~ l2_altcat_1(X103)
      | l1_altcat_1(X103) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).

fof(c_0_28,plain,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
        & k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
    inference(fof_simplification,[status(thm)],[t18_waybel34]) ).

fof(c_0_29,plain,
    ! [X85,X86,X87] :
      ( v3_struct_0(X85)
      | ~ v2_altcat_1(X85)
      | ~ v12_altcat_1(X85)
      | ~ l2_altcat_1(X85)
      | v3_struct_0(X86)
      | ~ v12_altcat_1(X86)
      | ~ l2_altcat_1(X86)
      | ~ m2_functor0(X87,X85,X86)
      | l2_functor0(X87,X85,X86) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).

fof(c_0_30,plain,
    ! [X18] :
      ( ( v9_functor0(k7_waybel34(X18),k5_waybel34(X18),k4_waybel34(X18))
        | v2_setfam_1(X18) )
      & ( v16_functor0(k7_waybel34(X18),k5_waybel34(X18),k4_waybel34(X18))
        | v2_setfam_1(X18) )
      & ( m2_functor0(k7_waybel34(X18),k5_waybel34(X18),k4_waybel34(X18))
        | v2_setfam_1(X18) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

fof(c_0_31,plain,
    ! [X59] :
      ( ( ~ v3_struct_0(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v2_altcat_1(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v6_altcat_1(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v9_altcat_1(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v11_altcat_1(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v12_altcat_1(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v1_altcat_2(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v2_yellow18(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v3_yellow18(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v4_yellow18(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v1_yellow21(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v2_yellow21(k5_waybel34(X59))
        | v2_setfam_1(X59) )
      & ( v3_yellow21(k5_waybel34(X59))
        | v2_setfam_1(X59) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).

fof(c_0_32,plain,
    ! [X19] :
      ( ( ~ v3_struct_0(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v2_altcat_1(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v6_altcat_1(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v9_altcat_1(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v11_altcat_1(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v12_altcat_1(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v1_altcat_2(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v2_yellow18(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v3_yellow18(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v4_yellow18(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v1_yellow21(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v2_yellow21(k4_waybel34(X19))
        | v2_setfam_1(X19) )
      & ( v3_yellow21(k4_waybel34(X19))
        | v2_setfam_1(X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

fof(c_0_33,plain,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( v6_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v8_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v11_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v12_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v14_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v16_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
        & v21_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc8_waybel34]) ).

fof(c_0_34,plain,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k6_waybel34]) ).

fof(c_0_35,negated_conjecture,
    ~ ! [X1] :
        ( ~ v2_setfam_1(X1)
       => ( k13_functor0(k5_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1),k7_waybel34(X1),k6_waybel34(X1)) = k12_functor0(k5_waybel34(X1))
          & k13_functor0(k4_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1),k6_waybel34(X1),k7_waybel34(X1)) = k12_functor0(k4_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t19_waybel34])]) ).

cnf(c_0_36,plain,
    ( k13_functor0(X1,X2,X1,X3,X4) = k12_functor0(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | g2_functor0(X1,X2,u1_functor0(X1,X2,X3),u2_functor0(X1,X2,X3)) != k15_functor0(X2,X1,X4)
    | ~ v21_functor0(X4,X2,X1)
    | ~ v8_functor0(X3,X1,X2)
    | ~ v8_functor0(X4,X2,X1)
    | ~ v12_altcat_1(X1)
    | ~ v12_altcat_1(X2)
    | ~ v2_altcat_1(X1)
    | ~ v2_altcat_1(X2)
    | ~ l2_functor0(X3,X1,X2)
    | ~ l2_functor0(X4,X2,X1)
    | ~ l2_altcat_1(X1)
    | ~ l2_altcat_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).

cnf(c_0_37,plain,
    ( X3 = g2_functor0(X1,X2,u1_functor0(X1,X2,X3),u2_functor0(X1,X2,X3))
    | ~ l1_altcat_1(X1)
    | ~ l1_altcat_1(X2)
    | ~ l2_functor0(X3,X1,X2)
    | ~ v9_functor0(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    ( l1_altcat_1(X1)
    | ~ l2_altcat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_39,plain,
    ! [X22] :
      ( ( k15_functor0(k4_waybel34(X22),k5_waybel34(X22),k6_waybel34(X22)) = k7_waybel34(X22)
        | v2_setfam_1(X22) )
      & ( k15_functor0(k5_waybel34(X22),k4_waybel34(X22),k7_waybel34(X22)) = k6_waybel34(X22)
        | v2_setfam_1(X22) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).

cnf(c_0_40,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | l2_functor0(X3,X1,X2)
    | ~ v2_altcat_1(X1)
    | ~ v12_altcat_1(X1)
    | ~ l2_altcat_1(X1)
    | ~ v12_altcat_1(X2)
    | ~ l2_altcat_1(X2)
    | ~ m2_functor0(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_41,plain,
    ( m2_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_42,plain,
    ( v2_altcat_1(k5_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_43,plain,
    ( v12_altcat_1(k5_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_44,plain,
    ( v12_altcat_1(k4_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_45,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k4_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_46,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k5_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_47,plain,
    ! [X21] :
      ( ( v6_functor0(k7_waybel34(X21),k5_waybel34(X21),k4_waybel34(X21))
        | v2_setfam_1(X21) )
      & ( v8_functor0(k7_waybel34(X21),k5_waybel34(X21),k4_waybel34(X21))
        | v2_setfam_1(X21) )
      & ( v9_functor0(k7_waybel34(X21),k5_waybel34(X21),k4_waybel34(X21))
        | v2_setfam_1(X21) )
      & ( v11_functor0(k7_waybel34(X21),k5_waybel34(X21),k4_waybel34(X21))
        | v2_setfam_1(X21) )
      & ( v12_functor0(k7_waybel34(X21),k5_waybel34(X21),k4_waybel34(X21))
        | v2_setfam_1(X21) )
      & ( v14_functor0(k7_waybel34(X21),k5_waybel34(X21),k4_waybel34(X21))
        | v2_setfam_1(X21) )
      & ( v16_functor0(k7_waybel34(X21),k5_waybel34(X21),k4_waybel34(X21))
        | v2_setfam_1(X21) )
      & ( v21_functor0(k7_waybel34(X21),k5_waybel34(X21),k4_waybel34(X21))
        | v2_setfam_1(X21) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).

fof(c_0_48,plain,
    ! [X17] :
      ( ( v9_functor0(k6_waybel34(X17),k4_waybel34(X17),k5_waybel34(X17))
        | v2_setfam_1(X17) )
      & ( v16_functor0(k6_waybel34(X17),k4_waybel34(X17),k5_waybel34(X17))
        | v2_setfam_1(X17) )
      & ( m2_functor0(k6_waybel34(X17),k4_waybel34(X17),k5_waybel34(X17))
        | v2_setfam_1(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).

fof(c_0_49,plain,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
        & v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc7_waybel34]) ).

fof(c_0_50,negated_conjecture,
    ( ~ v2_setfam_1(esk1_0)
    & ( k13_functor0(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0),k7_waybel34(esk1_0),k6_waybel34(esk1_0)) != k12_functor0(k5_waybel34(esk1_0))
      | k13_functor0(k4_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0),k6_waybel34(esk1_0),k7_waybel34(esk1_0)) != k12_functor0(k4_waybel34(esk1_0)) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

cnf(c_0_51,plain,
    ( k13_functor0(X1,X2,X1,X3,X4) = k12_functor0(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | X3 != k15_functor0(X2,X1,X4)
    | ~ v21_functor0(X4,X2,X1)
    | ~ v8_functor0(X3,X1,X2)
    | ~ v8_functor0(X4,X2,X1)
    | ~ v12_altcat_1(X1)
    | ~ v12_altcat_1(X2)
    | ~ v2_altcat_1(X1)
    | ~ v2_altcat_1(X2)
    | ~ v9_functor0(X3,X1,X2)
    | ~ l2_functor0(X3,X1,X2)
    | ~ l2_functor0(X4,X2,X1)
    | ~ l2_altcat_1(X1)
    | ~ l2_altcat_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_38]) ).

cnf(c_0_52,plain,
    ( k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1)
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_53,plain,
    ( l2_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
    | v2_setfam_1(X1)
    | ~ l2_altcat_1(k4_waybel34(X1))
    | ~ l2_altcat_1(k5_waybel34(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]) ).

cnf(c_0_54,plain,
    ( v2_altcat_1(k4_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_55,plain,
    ( v8_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_56,plain,
    ( v21_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,plain,
    ( m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

fof(c_0_58,plain,
    ! [X20] :
      ( ( v6_functor0(k6_waybel34(X20),k4_waybel34(X20),k5_waybel34(X20))
        | v2_setfam_1(X20) )
      & ( v8_functor0(k6_waybel34(X20),k4_waybel34(X20),k5_waybel34(X20))
        | v2_setfam_1(X20) )
      & ( v9_functor0(k6_waybel34(X20),k4_waybel34(X20),k5_waybel34(X20))
        | v2_setfam_1(X20) )
      & ( v11_functor0(k6_waybel34(X20),k4_waybel34(X20),k5_waybel34(X20))
        | v2_setfam_1(X20) )
      & ( v12_functor0(k6_waybel34(X20),k4_waybel34(X20),k5_waybel34(X20))
        | v2_setfam_1(X20) )
      & ( v14_functor0(k6_waybel34(X20),k4_waybel34(X20),k5_waybel34(X20))
        | v2_setfam_1(X20) )
      & ( v16_functor0(k6_waybel34(X20),k4_waybel34(X20),k5_waybel34(X20))
        | v2_setfam_1(X20) )
      & ( v21_functor0(k6_waybel34(X20),k4_waybel34(X20),k5_waybel34(X20))
        | v2_setfam_1(X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).

cnf(c_0_59,negated_conjecture,
    ( k13_functor0(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0),k7_waybel34(esk1_0),k6_waybel34(esk1_0)) != k12_functor0(k5_waybel34(esk1_0))
    | k13_functor0(k4_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0),k6_waybel34(esk1_0),k7_waybel34(esk1_0)) != k12_functor0(k4_waybel34(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_60,plain,
    ( k13_functor0(k4_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1),X2,k7_waybel34(X1)) = k12_functor0(k4_waybel34(X1))
    | v2_setfam_1(X1)
    | X2 != k6_waybel34(X1)
    | ~ v8_functor0(X2,k4_waybel34(X1),k5_waybel34(X1))
    | ~ v9_functor0(X2,k4_waybel34(X1),k5_waybel34(X1))
    | ~ l2_functor0(X2,k4_waybel34(X1),k5_waybel34(X1))
    | ~ l2_altcat_1(k4_waybel34(X1))
    | ~ l2_altcat_1(k5_waybel34(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_42]),c_0_54]),c_0_43]),c_0_44]),c_0_55]),c_0_56]),c_0_46]),c_0_45]) ).

cnf(c_0_61,negated_conjecture,
    ~ v2_setfam_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_62,plain,
    ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_63,plain,
    ( l2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
    | v2_setfam_1(X1)
    | ~ l2_altcat_1(k5_waybel34(X1))
    | ~ l2_altcat_1(k4_waybel34(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_57]),c_0_54]),c_0_44]),c_0_43]),c_0_46]),c_0_45]) ).

cnf(c_0_64,plain,
    ( v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_65,plain,
    ( v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    ( k13_functor0(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0),k7_waybel34(esk1_0),k6_waybel34(esk1_0)) != k12_functor0(k5_waybel34(esk1_0))
    | ~ v8_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ v9_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ l2_altcat_1(k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_67,plain,
    ( k13_functor0(k5_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1),X2,k6_waybel34(X1)) = k12_functor0(k5_waybel34(X1))
    | v2_setfam_1(X1)
    | X2 != k7_waybel34(X1)
    | ~ v8_functor0(X2,k5_waybel34(X1),k4_waybel34(X1))
    | ~ v9_functor0(X2,k5_waybel34(X1),k4_waybel34(X1))
    | ~ l2_functor0(X2,k5_waybel34(X1),k4_waybel34(X1))
    | ~ l2_altcat_1(k5_waybel34(X1))
    | ~ l2_altcat_1(k4_waybel34(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_62]),c_0_63]),c_0_54]),c_0_42]),c_0_44]),c_0_43]),c_0_64]),c_0_65]),c_0_45]),c_0_46]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ v8_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ v8_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ v9_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ v9_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_61]) ).

cnf(c_0_69,plain,
    ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ v8_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ v8_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ v9_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_61]) ).

cnf(c_0_71,plain,
    ( v9_functor0(k7_waybel34(X1),k5_waybel34(X1),k4_waybel34(X1))
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ v8_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ v8_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_61]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ v8_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_64]),c_0_61]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ l2_functor0(k6_waybel34(esk1_0),k4_waybel34(esk1_0),k5_waybel34(esk1_0))
    | ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_55]),c_0_61]) ).

fof(c_0_75,plain,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ( ~ v3_struct_0(k4_waybel34(X1))
        & v2_altcat_1(k4_waybel34(X1))
        & v6_altcat_1(k4_waybel34(X1))
        & v11_altcat_1(k4_waybel34(X1))
        & v12_altcat_1(k4_waybel34(X1))
        & v2_yellow21(k4_waybel34(X1))
        & l2_altcat_1(k4_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k4_waybel34]) ).

fof(c_0_76,plain,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ( ~ v3_struct_0(k5_waybel34(X1))
        & v2_altcat_1(k5_waybel34(X1))
        & v6_altcat_1(k5_waybel34(X1))
        & v11_altcat_1(k5_waybel34(X1))
        & v12_altcat_1(k5_waybel34(X1))
        & v2_yellow21(k5_waybel34(X1))
        & l2_altcat_1(k5_waybel34(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k5_waybel34]) ).

fof(c_0_77,plain,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ~ v1_xboole_0(X1) ),
    inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ l2_functor0(k7_waybel34(esk1_0),k5_waybel34(esk1_0),k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_63]),c_0_61]) ).

fof(c_0_79,plain,
    ! [X16] :
      ( ( ~ v3_struct_0(k4_waybel34(X16))
        | v1_xboole_0(X16) )
      & ( v2_altcat_1(k4_waybel34(X16))
        | v1_xboole_0(X16) )
      & ( v6_altcat_1(k4_waybel34(X16))
        | v1_xboole_0(X16) )
      & ( v11_altcat_1(k4_waybel34(X16))
        | v1_xboole_0(X16) )
      & ( v12_altcat_1(k4_waybel34(X16))
        | v1_xboole_0(X16) )
      & ( v2_yellow21(k4_waybel34(X16))
        | v1_xboole_0(X16) )
      & ( l2_altcat_1(k4_waybel34(X16))
        | v1_xboole_0(X16) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).

fof(c_0_80,plain,
    ! [X58] :
      ( ( ~ v3_struct_0(k5_waybel34(X58))
        | v1_xboole_0(X58) )
      & ( v2_altcat_1(k5_waybel34(X58))
        | v1_xboole_0(X58) )
      & ( v6_altcat_1(k5_waybel34(X58))
        | v1_xboole_0(X58) )
      & ( v11_altcat_1(k5_waybel34(X58))
        | v1_xboole_0(X58) )
      & ( v12_altcat_1(k5_waybel34(X58))
        | v1_xboole_0(X58) )
      & ( v2_yellow21(k5_waybel34(X58))
        | v1_xboole_0(X58) )
      & ( l2_altcat_1(k5_waybel34(X58))
        | v1_xboole_0(X58) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).

fof(c_0_81,plain,
    ! [X60] :
      ( v2_setfam_1(X60)
      | ~ v1_xboole_0(X60) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ l2_altcat_1(k4_waybel34(esk1_0))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_53]),c_0_61]) ).

cnf(c_0_83,plain,
    ( l2_altcat_1(k4_waybel34(X1))
    | v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_84,plain,
    ( l2_altcat_1(k5_waybel34(X1))
    | v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_85,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_86,negated_conjecture,
    v1_xboole_0(esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_61]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 10:49:06 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.xJFzpNcFZt/E---3.1_7872.p
% 1.58/0.67  # Version: 3.1pre001
% 1.58/0.67  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.58/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.67  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.58/0.67  # Starting new_bool_3 with 300s (1) cores
% 1.58/0.67  # Starting new_bool_1 with 300s (1) cores
% 1.58/0.67  # Starting sh5l with 300s (1) cores
% 1.58/0.67  # sh5l with pid 7953 completed with status 0
% 1.58/0.67  # Result found by sh5l
% 1.58/0.67  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.58/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.67  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.58/0.67  # Starting new_bool_3 with 300s (1) cores
% 1.58/0.67  # Starting new_bool_1 with 300s (1) cores
% 1.58/0.67  # Starting sh5l with 300s (1) cores
% 1.58/0.67  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.58/0.67  # Search class: FGHSM-FSLM31-SFFFFFNN
% 1.58/0.67  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.58/0.67  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 1.58/0.67  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 7959 completed with status 0
% 1.58/0.67  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 1.58/0.67  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.58/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.67  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.58/0.67  # Starting new_bool_3 with 300s (1) cores
% 1.58/0.67  # Starting new_bool_1 with 300s (1) cores
% 1.58/0.67  # Starting sh5l with 300s (1) cores
% 1.58/0.67  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.58/0.67  # Search class: FGHSM-FSLM31-SFFFFFNN
% 1.58/0.67  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.58/0.67  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 1.58/0.67  # Preprocessing time       : 0.015 s
% 1.58/0.67  
% 1.58/0.67  # Proof found!
% 1.58/0.67  # SZS status Theorem
% 1.58/0.67  # SZS output start CNFRefutation
% See solution above
% 1.58/0.67  # Parsed axioms                        : 137
% 1.58/0.67  # Removed by relevancy pruning/SinE    : 11
% 1.58/0.67  # Initial clauses                      : 325
% 1.58/0.67  # Removed in clause preprocessing      : 11
% 1.58/0.67  # Initial clauses in saturation        : 314
% 1.58/0.67  # Processed clauses                    : 1782
% 1.58/0.67  # ...of these trivial                  : 0
% 1.58/0.67  # ...subsumed                          : 699
% 1.58/0.67  # ...remaining for further processing  : 1083
% 1.58/0.67  # Other redundant clauses eliminated   : 8
% 1.58/0.67  # Clauses deleted for lack of memory   : 0
% 1.58/0.67  # Backward-subsumed                    : 76
% 1.58/0.67  # Backward-rewritten                   : 4
% 1.58/0.67  # Generated clauses                    : 2468
% 1.58/0.67  # ...of the previous two non-redundant : 2298
% 1.58/0.67  # ...aggressively subsumed             : 0
% 1.58/0.67  # Contextual simplify-reflections      : 114
% 1.58/0.67  # Paramodulations                      : 2425
% 1.58/0.67  # Factorizations                       : 0
% 1.58/0.67  # NegExts                              : 0
% 1.58/0.67  # Equation resolutions                 : 43
% 1.58/0.67  # Total rewrite steps                  : 132
% 1.58/0.67  # Propositional unsat checks           : 0
% 1.58/0.67  #    Propositional check models        : 0
% 1.58/0.67  #    Propositional check unsatisfiable : 0
% 1.58/0.67  #    Propositional clauses             : 0
% 1.58/0.67  #    Propositional clauses after purity: 0
% 1.58/0.67  #    Propositional unsat core size     : 0
% 1.58/0.67  #    Propositional preprocessing time  : 0.000
% 1.58/0.67  #    Propositional encoding time       : 0.000
% 1.58/0.67  #    Propositional solver time         : 0.000
% 1.58/0.67  #    Success case prop preproc time    : 0.000
% 1.58/0.67  #    Success case prop encoding time   : 0.000
% 1.58/0.67  #    Success case prop solver time     : 0.000
% 1.58/0.67  # Current number of processed clauses  : 1003
% 1.58/0.67  #    Positive orientable unit clauses  : 57
% 1.58/0.67  #    Positive unorientable unit clauses: 0
% 1.58/0.67  #    Negative unit clauses             : 14
% 1.58/0.67  #    Non-unit-clauses                  : 932
% 1.58/0.67  # Current number of unprocessed clauses: 752
% 1.58/0.67  # ...number of literals in the above   : 5881
% 1.58/0.67  # Current number of archived formulas  : 0
% 1.58/0.67  # Current number of archived clauses   : 80
% 1.58/0.67  # Clause-clause subsumption calls (NU) : 324153
% 1.58/0.67  # Rec. Clause-clause subsumption calls : 117753
% 1.58/0.67  # Non-unit clause-clause subsumptions  : 889
% 1.58/0.67  # Unit Clause-clause subsumption calls : 2589
% 1.58/0.67  # Rewrite failures with RHS unbound    : 0
% 1.58/0.67  # BW rewrite match attempts            : 2
% 1.58/0.67  # BW rewrite match successes           : 2
% 1.58/0.67  # Condensation attempts                : 0
% 1.58/0.67  # Condensation successes               : 0
% 1.58/0.67  # Termbank termtop insertions          : 92999
% 1.58/0.67  
% 1.58/0.67  # -------------------------------------------------
% 1.58/0.67  # User time                : 0.208 s
% 1.58/0.67  # System time              : 0.008 s
% 1.58/0.67  # Total time               : 0.216 s
% 1.58/0.67  # Maximum resident set size: 2996 pages
% 1.58/0.67  
% 1.58/0.67  # -------------------------------------------------
% 1.58/0.67  # User time                : 0.214 s
% 1.58/0.67  # System time              : 0.008 s
% 1.58/0.67  # Total time               : 0.222 s
% 1.58/0.67  # Maximum resident set size: 1864 pages
% 1.58/0.67  % E---3.1 exiting
% 1.58/0.68  % E---3.1 exiting
%------------------------------------------------------------------------------