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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT377+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:47:29 AM UTC 2026

% Result   : Theorem 4.45s 1.54s
% Output   : Refutation 5.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  161 (   5 unt;   0 def)
%            Number of atoms       : 1213 (   6 equ)
%            Maximal formula atoms :   23 (   7 avg)
%            Number of connectives : 1680 ( 628   ~; 884   |; 144   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (  10 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   31 (  29 usr;   1 prp; 0-5 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-3 aty)
%            Number of variables   :  300 ( 299   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_waybel34) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ~ v2_setfam_1(X0)
       => r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0)) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f29,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ~ v1_xboole_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).

fof(f44,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k10_waybel34(X0))
        & v2_altcat_1(k10_waybel34(X0))
        & v6_altcat_1(k10_waybel34(X0))
        & v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_waybel34) ).

fof(f45,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k11_waybel34(X0))
        & v2_altcat_1(k11_waybel34(X0))
        & v6_altcat_1(k11_waybel34(X0))
        & v2_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
        & v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
        & m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_waybel34) ).

fof(f53,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).

fof(f54,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).

fof(f55,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).

fof(f57,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( ~ v3_struct_0(k8_waybel34(X0))
        & v2_altcat_1(k8_waybel34(X0))
        & v6_altcat_1(k8_waybel34(X0))
        & v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).

fof(f58,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k9_waybel34(X0))
        & v2_altcat_1(k9_waybel34(X0))
        & v6_altcat_1(k9_waybel34(X0))
        & v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).

fof(f90,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k10_waybel34(X0))
        & v2_altcat_1(k10_waybel34(X0))
        & v6_altcat_1(k10_waybel34(X0))
        & v9_altcat_1(k10_waybel34(X0))
        & v11_altcat_1(k10_waybel34(X0))
        & v12_altcat_1(k10_waybel34(X0))
        & v1_altcat_2(k10_waybel34(X0))
        & v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v2_yellow18(k10_waybel34(X0))
        & v3_yellow18(k10_waybel34(X0))
        & v4_yellow18(k10_waybel34(X0))
        & v1_yellow21(k10_waybel34(X0))
        & v2_yellow21(k10_waybel34(X0))
        & v3_yellow21(k10_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_waybel34) ).

fof(f98,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).

fof(f122,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
        & k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).

fof(f125,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v11_altcat_1(X0)
        & v12_altcat_1(X0)
        & l2_altcat_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v2_altcat_1(X1)
            & v3_altcat_2(X1,X0)
            & m1_altcat_2(X1,X0) )
         => ! [X2] :
              ( ( ~ v3_struct_0(X2)
                & v2_altcat_1(X2)
                & v3_altcat_2(X2,X1)
                & m1_altcat_2(X2,X1) )
             => ( ~ v3_struct_0(X2)
                & v2_altcat_1(X2)
                & v3_altcat_2(X2,X0)
                & m1_altcat_2(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_altcat_4) ).

fof(f128,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v11_altcat_1(X0)
        & v12_altcat_1(X0)
        & l2_altcat_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v2_altcat_1(X1)
            & v11_altcat_1(X1)
            & v12_altcat_1(X1)
            & l2_altcat_1(X1) )
         => ! [X2] :
              ( ( v16_functor0(X2,X0,X1)
                & m2_functor0(X2,X0,X1) )
             => ( v21_functor0(X2,X0,X1)
               => ! [X3] :
                    ( ( ~ v3_struct_0(X3)
                      & v2_altcat_1(X3)
                      & v3_altcat_2(X3,X0)
                      & m1_altcat_2(X3,X0) )
                   => ! [X4] :
                        ( ( ~ v3_struct_0(X4)
                          & v2_altcat_1(X4)
                          & v3_altcat_2(X4,X1)
                          & m1_altcat_2(X4,X1) )
                       => ( r3_yellow20(X0,X1,X2,X3,X4)
                         => r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_yellow20) ).

fof(f129,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),k11_waybel34(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_waybel34) ).

fof(f135,plain,
    ? [X0] :
      ( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0))
      & ~ v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f197,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k10_waybel34(X0))
        & v2_altcat_1(k10_waybel34(X0))
        & v6_altcat_1(k10_waybel34(X0))
        & v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f198,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_waybel34(X0))
        & v2_altcat_1(k11_waybel34(X0))
        & v6_altcat_1(k11_waybel34(X0))
        & v2_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
        & v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
        & m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f204,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f205,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f206,plain,
    ! [X0] :
      ( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f208,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k8_waybel34(X0))
        & v2_altcat_1(k8_waybel34(X0))
        & v6_altcat_1(k8_waybel34(X0))
        & v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f209,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k9_waybel34(X0))
        & v2_altcat_1(k9_waybel34(X0))
        & v6_altcat_1(k9_waybel34(X0))
        & v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f240,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k10_waybel34(X0))
        & v2_altcat_1(k10_waybel34(X0))
        & v6_altcat_1(k10_waybel34(X0))
        & v9_altcat_1(k10_waybel34(X0))
        & v11_altcat_1(k10_waybel34(X0))
        & v12_altcat_1(k10_waybel34(X0))
        & v1_altcat_2(k10_waybel34(X0))
        & v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v2_yellow18(k10_waybel34(X0))
        & v3_yellow18(k10_waybel34(X0))
        & v4_yellow18(k10_waybel34(X0))
        & v1_yellow21(k10_waybel34(X0))
        & v2_yellow21(k10_waybel34(X0))
        & v3_yellow21(k10_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f251,plain,
    ! [X0] :
      ( ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f272,plain,
    ! [X0] :
      ( ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
        & k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f276,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ~ v3_struct_0(X2)
                & v2_altcat_1(X2)
                & v3_altcat_2(X2,X0)
                & m1_altcat_2(X2,X0) )
              | v3_struct_0(X2)
              | ~ v2_altcat_1(X2)
              | ~ v3_altcat_2(X2,X1)
              | ~ m1_altcat_2(X2,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v3_altcat_2(X1,X0)
          | ~ m1_altcat_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v11_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f277,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ~ v3_struct_0(X2)
                & v2_altcat_1(X2)
                & v3_altcat_2(X2,X0)
                & m1_altcat_2(X2,X0) )
              | v3_struct_0(X2)
              | ~ v2_altcat_1(X2)
              | ~ v3_altcat_2(X2,X1)
              | ~ m1_altcat_2(X2,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v3_altcat_2(X1,X0)
          | ~ m1_altcat_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v11_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f276]) ).

fof(f280,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
                      | ~ r3_yellow20(X0,X1,X2,X3,X4)
                      | v3_struct_0(X4)
                      | ~ v2_altcat_1(X4)
                      | ~ v3_altcat_2(X4,X1)
                      | ~ m1_altcat_2(X4,X1) )
                  | v3_struct_0(X3)
                  | ~ v2_altcat_1(X3)
                  | ~ v3_altcat_2(X3,X0)
                  | ~ m1_altcat_2(X3,X0) )
              | ~ v21_functor0(X2,X0,X1)
              | ~ v16_functor0(X2,X0,X1)
              | ~ m2_functor0(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v11_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ l2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v11_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f281,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
                      | ~ r3_yellow20(X0,X1,X2,X3,X4)
                      | v3_struct_0(X4)
                      | ~ v2_altcat_1(X4)
                      | ~ v3_altcat_2(X4,X1)
                      | ~ m1_altcat_2(X4,X1) )
                  | v3_struct_0(X3)
                  | ~ v2_altcat_1(X3)
                  | ~ v3_altcat_2(X3,X0)
                  | ~ m1_altcat_2(X3,X0) )
              | ~ v21_functor0(X2,X0,X1)
              | ~ v16_functor0(X2,X0,X1)
              | ~ m2_functor0(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v11_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ l2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v11_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f280]) ).

fof(f282,plain,
    ! [X0] :
      ( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),k11_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f287,plain,
    ( ~ r3_yellow20(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0),k11_waybel34(sK0),k10_waybel34(sK0))
    & ~ v2_setfam_1(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f135]) ).

fof(f321,plain,
    ~ v2_setfam_1(sK0),
    inference(cnf_transformation,[],[f287]) ).

fof(f322,plain,
    ~ r3_yellow20(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0),k11_waybel34(sK0),k10_waybel34(sK0)),
    inference(cnf_transformation,[],[f287]) ).

fof(f394,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f459,plain,
    ! [X0] :
      ( m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f465,plain,
    ! [X0] :
      ( m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f466,plain,
    ! [X0] :
      ( v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f469,plain,
    ! [X0] :
      ( v2_altcat_1(k11_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f470,plain,
    ! [X0] :
      ( ~ v3_struct_0(k11_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f475,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f477,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f478,plain,
    ! [X0] :
      ( v11_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f480,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f481,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f482,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f484,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f485,plain,
    ! [X0] :
      ( v11_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f487,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f488,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f489,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f495,plain,
    ! [X0] :
      ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f496,plain,
    ! [X0] :
      ( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f498,plain,
    ! [X0] :
      ( v2_altcat_1(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f499,plain,
    ! [X0] :
      ( ~ v3_struct_0(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f500,plain,
    ! [X0] :
      ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f501,plain,
    ! [X0] :
      ( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f503,plain,
    ! [X0] :
      ( v2_altcat_1(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ v3_struct_0(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f540,plain,
    ! [X0] :
      ( v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f547,plain,
    ! [X0] :
      ( v2_altcat_1(k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f548,plain,
    ! [X0] :
      ( ~ v3_struct_0(k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f587,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f588,plain,
    ! [X0] :
      ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f681,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f684,plain,
    ! [X2,X0,X1] :
      ( ~ l2_altcat_1(X0)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,X1)
      | ~ m1_altcat_2(X2,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X0)
      | ~ m1_altcat_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v11_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | m1_altcat_2(X2,X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f685,plain,
    ! [X2,X0,X1] :
      ( ~ l2_altcat_1(X0)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,X1)
      | ~ m1_altcat_2(X2,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X0)
      | ~ m1_altcat_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v11_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | v3_altcat_2(X2,X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f691,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ v12_altcat_1(X0)
      | ~ r3_yellow20(X0,X1,X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,X1)
      | ~ m1_altcat_2(X4,X1)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,X0)
      | ~ m1_altcat_2(X3,X0)
      | ~ v21_functor0(X2,X0,X1)
      | ~ v16_functor0(X2,X0,X1)
      | ~ m2_functor0(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v11_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v11_altcat_1(X0)
      | r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f692,plain,
    ! [X0] :
      ( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),k11_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f282]) ).

fof(f697,plain,
    k7_waybel34(sK0) = k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),
    inference(resolution,[],[f681,f321]) ).

fof(f716,plain,
    ! [X2,X3,X0,X1,X4] :
      ( v1_xboole_0(X0)
      | ~ r3_yellow20(k4_waybel34(X0),X1,X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,X1)
      | ~ m1_altcat_2(X4,X1)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X0))
      | ~ m1_altcat_2(X3,k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | ~ v16_functor0(X2,k4_waybel34(X0),X1)
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v11_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
      | ~ l2_altcat_1(k4_waybel34(X0)) ),
    inference(resolution,[],[f477,f691]) ).

fof(f717,plain,
    ! [X2,X3,X0,X1,X4] :
      ( v1_xboole_0(X0)
      | ~ r3_yellow20(k4_waybel34(X0),X1,X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,X1)
      | ~ m1_altcat_2(X4,X1)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X0))
      | ~ m1_altcat_2(X3,k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | ~ v16_functor0(X2,k4_waybel34(X0),X1)
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v11_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
      | ~ l2_altcat_1(k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f716,f481]) ).

fof(f718,plain,
    ! [X2,X3,X0,X1,X4] :
      ( v1_xboole_0(X0)
      | ~ r3_yellow20(k4_waybel34(X0),X1,X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,X1)
      | ~ m1_altcat_2(X4,X1)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X0))
      | ~ m1_altcat_2(X3,k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | ~ v16_functor0(X2,k4_waybel34(X0),X1)
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v11_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v11_altcat_1(k4_waybel34(X0))
      | r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
      | ~ l2_altcat_1(k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f717,f480]) ).

fof(f719,plain,
    ! [X2,X3,X0,X1,X4] :
      ( v1_xboole_0(X0)
      | ~ r3_yellow20(k4_waybel34(X0),X1,X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,X1)
      | ~ m1_altcat_2(X4,X1)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X0))
      | ~ m1_altcat_2(X3,k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | ~ v16_functor0(X2,k4_waybel34(X0),X1)
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v11_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
      | ~ l2_altcat_1(k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f718,f478]) ).

fof(f720,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ l2_altcat_1(X1)
      | ~ r3_yellow20(k4_waybel34(X0),X1,X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,X1)
      | ~ m1_altcat_2(X4,X1)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X0))
      | ~ m1_altcat_2(X3,k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | ~ v16_functor0(X2,k4_waybel34(X0),X1)
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v11_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | v1_xboole_0(X0)
      | r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3) ),
    inference(forward_subsumption_resolution,[],[f719,f475]) ).

fof(f722,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v3_altcat_2(X1,k5_waybel34(X0)) ),
    inference(resolution,[],[f482,f685]) ).

fof(f723,plain,
    ! [X2,X3,X0,X1,X4] :
      ( v1_xboole_0(X0)
      | ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X0),X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,k5_waybel34(X0))
      | ~ m1_altcat_2(X4,k5_waybel34(X0))
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X1))
      | ~ m1_altcat_2(X3,k4_waybel34(X1))
      | ~ v21_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ v16_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ m2_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X1)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X0),X2),X4,X3) ),
    inference(resolution,[],[f482,f720]) ).

fof(f725,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | m1_altcat_2(X1,k5_waybel34(X0)) ),
    inference(resolution,[],[f482,f684]) ).

fof(f726,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | m1_altcat_2(X1,k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f725,f488]) ).

fof(f728,plain,
    ! [X2,X3,X0,X1,X4] :
      ( v1_xboole_0(X0)
      | ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X0),X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,k5_waybel34(X0))
      | ~ m1_altcat_2(X4,k5_waybel34(X0))
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X1))
      | ~ m1_altcat_2(X3,k4_waybel34(X1))
      | ~ v21_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ v16_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ m2_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X1)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X0),X2),X4,X3) ),
    inference(forward_subsumption_resolution,[],[f723,f488]) ).

fof(f729,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v3_altcat_2(X1,k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f722,f488]) ).

fof(f730,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | m1_altcat_2(X1,k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f726,f487]) ).

fof(f732,plain,
    ! [X2,X3,X0,X1,X4] :
      ( v1_xboole_0(X0)
      | ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X0),X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,k5_waybel34(X0))
      | ~ m1_altcat_2(X4,k5_waybel34(X0))
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X1))
      | ~ m1_altcat_2(X3,k4_waybel34(X1))
      | ~ v21_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ v16_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ m2_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X1)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X0),X2),X4,X3) ),
    inference(forward_subsumption_resolution,[],[f728,f487]) ).

fof(f733,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v3_altcat_2(X1,k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f729,f487]) ).

fof(f734,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | m1_altcat_2(X1,k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f730,f485]) ).

fof(f736,plain,
    ! [X2,X3,X0,X1,X4] :
      ( v1_xboole_0(X0)
      | ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X0),X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,k5_waybel34(X0))
      | ~ m1_altcat_2(X4,k5_waybel34(X0))
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k4_waybel34(X1))
      | ~ m1_altcat_2(X3,k4_waybel34(X1))
      | ~ v21_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ v16_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ m2_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X1)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X0),X2),X4,X3) ),
    inference(forward_subsumption_resolution,[],[f732,f485]) ).

fof(f737,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k5_waybel34(X0))
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | v3_altcat_2(X1,k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f733,f485]) ).

fof(f738,plain,
    ! [X2,X0,X1] :
      ( ~ v3_altcat_2(X2,k5_waybel34(X0))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | v1_xboole_0(X0)
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | m1_altcat_2(X1,k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f734,f484]) ).

fof(f740,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ v3_altcat_2(X3,k4_waybel34(X1))
      | ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X0),X2,X3,X4)
      | v3_struct_0(X4)
      | ~ v2_altcat_1(X4)
      | ~ v3_altcat_2(X4,k5_waybel34(X0))
      | ~ m1_altcat_2(X4,k5_waybel34(X0))
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | v1_xboole_0(X0)
      | ~ m1_altcat_2(X3,k4_waybel34(X1))
      | ~ v21_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ v16_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | ~ m2_functor0(X2,k4_waybel34(X1),k5_waybel34(X0))
      | v1_xboole_0(X1)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X0),X2),X4,X3) ),
    inference(forward_subsumption_resolution,[],[f736,f484]) ).

fof(f741,plain,
    ! [X2,X0,X1] :
      ( ~ v3_altcat_2(X2,k5_waybel34(X0))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | v1_xboole_0(X0)
      | ~ m1_altcat_2(X2,k5_waybel34(X0))
      | v3_altcat_2(X1,k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f737,f484]) ).

fof(f742,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | v3_struct_0(k9_waybel34(X1))
      | ~ v2_altcat_1(k9_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
      | m1_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(resolution,[],[f738,f501]) ).

fof(f743,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | ~ v2_altcat_1(k9_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
      | m1_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(forward_subsumption_resolution,[],[f742,f504]) ).

fof(f744,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
      | m1_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(forward_subsumption_resolution,[],[f743,f503]) ).

fof(f745,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
      | m1_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(forward_subsumption_resolution,[],[f744,f394]) ).

fof(f746,plain,
    ! [X0,X1] :
      ( ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ v2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | m1_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(forward_subsumption_resolution,[],[f745,f500]) ).

fof(f747,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k11_waybel34(X0))
      | v3_struct_0(k11_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0)
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f746,f466]) ).

fof(f748,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k11_waybel34(X0))
      | v3_struct_0(k11_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(duplicate_literal_removal,[],[f747]) ).

fof(f749,plain,
    ! [X0] :
      ( v3_struct_0(k11_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f748,f469]) ).

fof(f750,plain,
    ! [X0] :
      ( ~ m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f749,f470]) ).

fof(f751,plain,
    ! [X0] :
      ( m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f750,f465]) ).

fof(f752,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | v3_struct_0(k9_waybel34(X1))
      | ~ v2_altcat_1(k9_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
      | v3_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(resolution,[],[f741,f501]) ).

fof(f753,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | ~ v2_altcat_1(k9_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
      | v3_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(forward_subsumption_resolution,[],[f752,f504]) ).

fof(f754,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
      | v3_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(forward_subsumption_resolution,[],[f753,f503]) ).

fof(f755,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
      | v3_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(forward_subsumption_resolution,[],[f754,f394]) ).

fof(f756,plain,
    ! [X0,X1] :
      ( ~ v3_altcat_2(X0,k9_waybel34(X1))
      | ~ v2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ m1_altcat_2(X0,k9_waybel34(X1))
      | v3_altcat_2(X0,k5_waybel34(X1))
      | v2_setfam_1(X1) ),
    inference(forward_subsumption_resolution,[],[f755,f500]) ).

fof(f757,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k11_waybel34(X0))
      | v3_struct_0(k11_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0)
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f756,f466]) ).

fof(f758,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k11_waybel34(X0))
      | v3_struct_0(k11_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(duplicate_literal_removal,[],[f757]) ).

fof(f759,plain,
    ! [X0] :
      ( v3_struct_0(k11_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f758,f469]) ).

fof(f760,plain,
    ! [X0] :
      ( ~ m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f759,f470]) ).

fof(f761,plain,
    ! [X0] :
      ( v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f760,f465]) ).

fof(f778,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | v3_altcat_2(X1,k4_waybel34(X0)) ),
    inference(resolution,[],[f475,f685]) ).

fof(f781,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | m1_altcat_2(X1,k4_waybel34(X0)) ),
    inference(resolution,[],[f475,f684]) ).

fof(f782,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | m1_altcat_2(X1,k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f781,f481]) ).

fof(f785,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | v3_altcat_2(X1,k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f778,f481]) ).

fof(f786,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | m1_altcat_2(X1,k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f782,f480]) ).

fof(f789,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v11_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | v3_altcat_2(X1,k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f785,f480]) ).

fof(f790,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | m1_altcat_2(X1,k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f786,f478]) ).

fof(f793,plain,
    ! [X2,X0,X1] :
      ( v1_xboole_0(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | v3_altcat_2(X1,k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f789,f478]) ).

fof(f794,plain,
    ! [X2,X0,X1] :
      ( ~ v3_altcat_2(X2,k4_waybel34(X0))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | v1_xboole_0(X0)
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | m1_altcat_2(X1,k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f790,f477]) ).

fof(f797,plain,
    ! [X2,X0,X1] :
      ( ~ v3_altcat_2(X2,k4_waybel34(X0))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,X2)
      | ~ m1_altcat_2(X1,X2)
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | v1_xboole_0(X0)
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | v3_altcat_2(X1,k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f793,f477]) ).

fof(f798,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | v3_struct_0(k8_waybel34(X1))
      | ~ v2_altcat_1(k8_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
      | m1_altcat_2(X0,k4_waybel34(X1))
      | v1_xboole_0(X1) ),
    inference(resolution,[],[f794,f496]) ).

fof(f799,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | v3_struct_0(k8_waybel34(X1))
      | ~ v2_altcat_1(k8_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
      | m1_altcat_2(X0,k4_waybel34(X1)) ),
    inference(duplicate_literal_removal,[],[f798]) ).

fof(f800,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | ~ v2_altcat_1(k8_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
      | m1_altcat_2(X0,k4_waybel34(X1)) ),
    inference(forward_subsumption_resolution,[],[f799,f499]) ).

fof(f801,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
      | m1_altcat_2(X0,k4_waybel34(X1)) ),
    inference(forward_subsumption_resolution,[],[f800,f498]) ).

fof(f802,plain,
    ! [X0,X1] :
      ( ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ v2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | v1_xboole_0(X1)
      | m1_altcat_2(X0,k4_waybel34(X1)) ),
    inference(forward_subsumption_resolution,[],[f801,f495]) ).

fof(f803,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k10_waybel34(X0))
      | v3_struct_0(k10_waybel34(X0))
      | ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v1_xboole_0(X0)
      | m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f802,f540]) ).

fof(f804,plain,
    ! [X0] :
      ( v3_struct_0(k10_waybel34(X0))
      | ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v1_xboole_0(X0)
      | m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f803,f547]) ).

fof(f805,plain,
    ! [X0] :
      ( ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v1_xboole_0(X0)
      | m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f804,f548]) ).

fof(f806,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f805,f459]) ).

fof(f807,plain,
    ! [X0] :
      ( m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f806,f394]) ).

fof(f808,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | v3_struct_0(k8_waybel34(X1))
      | ~ v2_altcat_1(k8_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
      | v3_altcat_2(X0,k4_waybel34(X1))
      | v1_xboole_0(X1) ),
    inference(resolution,[],[f797,f496]) ).

fof(f809,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | v3_struct_0(k8_waybel34(X1))
      | ~ v2_altcat_1(k8_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
      | v3_altcat_2(X0,k4_waybel34(X1)) ),
    inference(duplicate_literal_removal,[],[f808]) ).

fof(f810,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | ~ v2_altcat_1(k8_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
      | v3_altcat_2(X0,k4_waybel34(X1)) ),
    inference(forward_subsumption_resolution,[],[f809,f499]) ).

fof(f811,plain,
    ! [X0,X1] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
      | v3_altcat_2(X0,k4_waybel34(X1)) ),
    inference(forward_subsumption_resolution,[],[f810,f498]) ).

fof(f812,plain,
    ! [X0,X1] :
      ( ~ v3_altcat_2(X0,k8_waybel34(X1))
      | ~ v2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ m1_altcat_2(X0,k8_waybel34(X1))
      | v1_xboole_0(X1)
      | v3_altcat_2(X0,k4_waybel34(X1)) ),
    inference(forward_subsumption_resolution,[],[f811,f495]) ).

fof(f813,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k10_waybel34(X0))
      | v3_struct_0(k10_waybel34(X0))
      | ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v1_xboole_0(X0)
      | v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f812,f540]) ).

fof(f814,plain,
    ! [X0] :
      ( v3_struct_0(k10_waybel34(X0))
      | ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v1_xboole_0(X0)
      | v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f813,f547]) ).

fof(f815,plain,
    ! [X0] :
      ( ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v1_xboole_0(X0)
      | v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f814,f548]) ).

fof(f816,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f815,f459]) ).

fof(f817,plain,
    ! [X0] :
      ( v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f816,f394]) ).

fof(f820,plain,
    ! [X2,X3,X0,X1] :
      ( v2_setfam_1(X0)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X1),X2,k10_waybel34(X0),X3)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k5_waybel34(X1))
      | ~ m1_altcat_2(X3,k5_waybel34(X1))
      | v3_struct_0(k10_waybel34(X0))
      | ~ v2_altcat_1(k10_waybel34(X0))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ v16_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ m2_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | v1_xboole_0(X0)
      | r3_yellow20(k5_waybel34(X1),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X1),X2),X3,k10_waybel34(X0)) ),
    inference(resolution,[],[f817,f740]) ).

fof(f821,plain,
    ! [X2,X3,X0,X1] :
      ( v2_setfam_1(X0)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X1),X2,k10_waybel34(X0),X3)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k5_waybel34(X1))
      | ~ m1_altcat_2(X3,k5_waybel34(X1))
      | ~ v2_altcat_1(k10_waybel34(X0))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ v16_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ m2_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | v1_xboole_0(X0)
      | r3_yellow20(k5_waybel34(X1),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X1),X2),X3,k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f820,f548]) ).

fof(f824,plain,
    ! [X2,X3,X0,X1] :
      ( v2_setfam_1(X0)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X1),X2,k10_waybel34(X0),X3)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k5_waybel34(X1))
      | ~ m1_altcat_2(X3,k5_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ v16_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ m2_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | v1_xboole_0(X0)
      | r3_yellow20(k5_waybel34(X1),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X1),X2),X3,k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f821,f547]) ).

fof(f827,plain,
    ! [X2,X3,X0,X1] :
      ( v2_setfam_1(X0)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X1),X2,k10_waybel34(X0),X3)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k5_waybel34(X1))
      | ~ m1_altcat_2(X3,k5_waybel34(X1))
      | v1_xboole_0(X1)
      | ~ m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ v16_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ m2_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | r3_yellow20(k5_waybel34(X1),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X1),X2),X3,k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f824,f394]) ).

fof(f830,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v21_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X1),X2,k10_waybel34(X0),X3)
      | v3_struct_0(X3)
      | ~ v2_altcat_1(X3)
      | ~ v3_altcat_2(X3,k5_waybel34(X1))
      | ~ m1_altcat_2(X3,k5_waybel34(X1))
      | v1_xboole_0(X1)
      | v2_setfam_1(X0)
      | ~ v16_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | ~ m2_functor0(X2,k4_waybel34(X0),k5_waybel34(X1))
      | r3_yellow20(k5_waybel34(X1),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X1),X2),X3,k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f827,f807]) ).

fof(f833,plain,
    ! [X0,X1] :
      ( ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0)
      | ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),X1,k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f830,f587]) ).

fof(f834,plain,
    ! [X0,X1] :
      ( ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0)
      | ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),X1,k10_waybel34(X0)) ),
    inference(duplicate_literal_removal,[],[f833]) ).

fof(f835,plain,
    ! [X0,X1] :
      ( ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),X1,k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f834,f394]) ).

fof(f836,plain,
    ! [X0,X1] :
      ( ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),X1,k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f835,f588]) ).

fof(f837,plain,
    ! [X0,X1] :
      ( ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | v2_setfam_1(X0)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),X1,k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f836,f489]) ).

fof(f838,plain,
    ! [X0] :
      ( v3_struct_0(k11_waybel34(X0))
      | ~ v2_altcat_1(k11_waybel34(X0))
      | ~ v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k11_waybel34(X0),k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f837,f692]) ).

fof(f839,plain,
    ! [X0] :
      ( v3_struct_0(k11_waybel34(X0))
      | ~ v2_altcat_1(k11_waybel34(X0))
      | ~ v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k11_waybel34(X0),k10_waybel34(X0)) ),
    inference(duplicate_literal_removal,[],[f838]) ).

fof(f840,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k11_waybel34(X0))
      | ~ v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k11_waybel34(X0),k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f839,f470]) ).

fof(f841,plain,
    ! [X0] :
      ( ~ v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k11_waybel34(X0),k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f840,f469]) ).

fof(f842,plain,
    ! [X0] :
      ( ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0)
      | r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k11_waybel34(X0),k10_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f841,f761]) ).

fof(f843,plain,
    ! [X0] :
      ( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k11_waybel34(X0),k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f842,f751]) ).

fof(f845,plain,
    ( r3_yellow20(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0),k11_waybel34(sK0),k10_waybel34(sK0))
    | v2_setfam_1(sK0) ),
    inference(superposition,[],[f843,f697]) ).

fof(f847,plain,
    v2_setfam_1(sK0),
    inference(forward_subsumption_resolution,[],[f845,f322]) ).

fof(f849,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f847,f321]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT377+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n026.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 15:12:42 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.45/1.54  % (2967862)Detected formulas, will run a generic FOF schedule.
% 4.45/1.54  % (2967993)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=502702515:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.45/1.54  % (2967999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1247471433:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.45/1.54  % (2967998)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1784500922:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.45/1.54  % (2967996)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4110500333:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.45/1.54  % (2967992)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4171106186:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.45/1.54  % (2967996)Refutation not found, incomplete strategy
% 4.45/1.54  % (2967996)------------------------------
% 4.45/1.54  % (2967996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54  % (2967996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54  % (2967996)CaDiCaL version: 2.1.3
% 4.45/1.54  % (2967996)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.54  % (2967996)Time elapsed: 0.001 s
% 4.45/1.54  % (2967996)Peak memory usage: 88 MB
% 4.45/1.54  % (2967996)Instructions burned: 1 (million)
% 4.45/1.54  % (2967995)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=620235816:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.45/1.54  % (2968001)dis-21_1_sil=8000:lcm=predicate:random_seed=3028257604:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.45/1.54  % (2967998)Instruction limit reached! 
% 4.45/1.54  % (2967998)------------------------------
% 4.45/1.54  % (2967998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54  % (2967998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54  % (2967998)CaDiCaL version: 2.1.3
% 4.45/1.54  % (2967998)Termination reason: Instruction limit
% 4.45/1.54  % (2967998)Termination phase: Saturation
% 4.45/1.54  % (2967998)Time elapsed: 0.056 s
% 4.45/1.54  % (2967998)Peak memory usage: 88 MB
% 4.45/1.54  % (2967998)Instructions burned: 120 (million)
% 4.45/1.54  % (2968001)Instruction limit reached! 
% 4.45/1.54  % (2968001)------------------------------
% 4.45/1.54  % (2968001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54  % (2968001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54  % (2968001)CaDiCaL version: 2.1.3
% 4.45/1.54  % (2968001)Termination reason: Instruction limit
% 4.45/1.54  % (2968001)Termination phase: Saturation
% 4.45/1.54  % (2968001)Time elapsed: 0.069 s
% 4.45/1.54  % (2968001)Peak memory usage: 91 MB
% 4.45/1.54  % (2968001)Instructions burned: 129 (million)
% 4.45/1.54  % (2967999)Instruction limit reached! 
% 4.45/1.54  % (2967999)------------------------------
% 4.45/1.54  % (2967999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54  % (2967999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54  % (2967999)CaDiCaL version: 2.1.3
% 4.45/1.54  % (2967999)Termination reason: Instruction limit
% 4.45/1.54  % (2967999)Termination phase: Saturation
% 4.45/1.54  % (2967999)Time elapsed: 0.092 s
% 4.45/1.54  % (2967999)Peak memory usage: 90 MB
% 4.45/1.54  % (2967999)Instructions burned: 140 (million)
% 4.45/1.54  % (2968062)lrs+10_1_sil=8000:sp=occurrence:random_seed=1671884603:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.45/1.54  % (2968073)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2400660087:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.45/1.54  % (2968074)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1258048964:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.45/1.54  % (2968074)Refutation not found, incomplete strategy
% 4.45/1.54  % (2968074)------------------------------
% 4.45/1.54  % (2968074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54  % (2968074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54  % (2968074)CaDiCaL version: 2.1.3
% 4.45/1.54  % (2968074)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.54  % (2968074)Time elapsed: 0.004 s
% 4.45/1.54  % (2968074)Peak memory usage: 89 MB
% 4.45/1.54  % (2968074)Instructions burned: 5 (million)
% 4.45/1.54  % (2968073)Refutation not found, incomplete strategy
% 4.45/1.54  % (2968073)------------------------------
% 4.45/1.54  % (2968073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54  % (2968073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54  % (2968073)CaDiCaL version: 2.1.3
% 4.45/1.54  % (2968073)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.54  % (2968073)Time elapsed: 0.008 s
% 4.45/1.54  % (2968073)Peak memory usage: 89 MB
% 4.45/1.54  % (2968073)Instructions burned: 12 (million)
% 4.45/1.54  % (2967996)------------------------------
% 4.45/1.54  % (2967996)------------------------------
% 4.45/1.54  % (2968062)Instruction limit reached! 
% 4.45/1.54  % (2968062)------------------------------
% 4.45/1.54  % (2968062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54  % (2968062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54  % (2968062)CaDiCaL version: 2.1.3
% 4.45/1.54  % (2968062)Termination reason: Instruction limit
% 4.45/1.54  % (2968062)Termination phase: Saturation
% 4.45/1.54  % (2968062)Time elapsed: 0.161 s
% 4.45/1.54  % (2968062)Peak memory usage: 92 MB
% 4.45/1.54  % (2968062)Instructions burned: 286 (million)
% 4.45/1.54  % (2967993)First to succeed.
% 4.45/1.54  % (2967993)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2967862"
% 4.45/1.54  % (2968124)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4141751310:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.45/1.54  % (2968073)------------------------------
% 4.45/1.54  % (2968073)------------------------------
% 4.45/1.54  % (2968074)------------------------------
% 4.45/1.54  % (2968074)------------------------------
% 4.45/1.54  % (2968124)Also succeeded, but the first one will report.
% 4.45/1.54  % (2968150)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1617766028:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.45/1.54  % (2968150)Refutation not found, incomplete strategy
% 4.45/1.54  % (2968150)------------------------------
% 4.45/1.54  % (2968150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54  % (2968150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54  % (2968150)CaDiCaL version: 2.1.3
% 4.45/1.54  % (2968150)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.54  % (2968150)Time elapsed: 0.005 s
% 4.45/1.54  % (2968150)Peak memory usage: 88 MB
% 4.45/1.54  % (2968150)Instructions burned: 7 (million)
% 4.45/1.54  % (2967993)Refutation found. Thanks to Tanya!
% 4.45/1.54  % SZS status Theorem for theBenchmark
% 4.45/1.54  % SZS output start Proof for theBenchmark
% See solution above
% 5.34/1.74  % (2967993)------------------------------
% 5.34/1.74  % (2967993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.74  % (2967993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.74  % (2967993)CaDiCaL version: 2.1.3
% 5.34/1.74  % (2967993)Termination reason: Refutation
% 5.34/1.74  % (2967993)Time elapsed: 0.392 s
% 5.34/1.74  % (2967993)Peak memory usage: 131 MB
% 5.34/1.74  % (2967993)Instructions burned: 1046 (million)
% 5.34/1.74  % (2967993)------------------------------
% 5.34/1.74  % (2967993)------------------------------
% 5.34/1.74  % (2967862)Success in time 0.685 s
% 5.34/1.74  % Vampire exiting
%------------------------------------------------------------------------------