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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT376+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 : n012.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 0.39s 0.79s
% Output   : Refutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   90 (   5 unt;   0 def)
%            Number of atoms       :  616 (   5 equ)
%            Maximal formula atoms :   24 (   6 avg)
%            Number of connectives :  867 ( 341   ~; 388   |; 109   &)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  21 usr;   1 prp; 0-5 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :   88 (  87   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_waybel34) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ~ v2_setfam_1(X0)
       => r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_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(f51,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(f52,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(f53,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(f55,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(f56,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(f95,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(f118,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(f123,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(f124,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_waybel34) ).

fof(f135,plain,
    ! [X0] :
      ( ~ v2_setfam_1(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)) ) ),
    inference(pure_predicate_removal,[],[f95]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ v2_setfam_1(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))
        & 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)) ) ),
    inference(pure_predicate_removal,[],[f135]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_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)) ) ),
    inference(pure_predicate_removal,[],[f138]) ).

fof(f149,plain,
    ! [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))
        & l2_altcat_1(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f52]) ).

fof(f150,plain,
    ! [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))
        & l2_altcat_1(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f51]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v11_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)) ) ),
    inference(pure_predicate_removal,[],[f148]) ).

fof(f157,plain,
    ! [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)) ) ),
    inference(pure_predicate_removal,[],[f53]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ v1_xboole_0(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))
        & l2_altcat_1(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f150]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k9_waybel34(X0))
        & v2_altcat_1(k9_waybel34(X0))
        & v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
        & m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f56]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ v1_xboole_0(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))
        & l2_altcat_1(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f149]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( ~ v3_struct_0(k8_waybel34(X0))
        & v2_altcat_1(k8_waybel34(X0))
        & v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
        & m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f55]) ).

fof(f164,plain,
    ? [X0] :
      ( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
      & ~ v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f166,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f167,plain,
    ! [X0] :
      ( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f168,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,[],[f123]) ).

fof(f169,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,[],[f168]) ).

fof(f171,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k9_waybel34(X0))
        & v2_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,[],[f161]) ).

fof(f172,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k8_waybel34(X0))
        & v2_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,[],[f163]) ).

fof(f173,plain,
    ! [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,[],[f157]) ).

fof(f174,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,[],[f118]) ).

fof(f184,plain,
    ! [X0] :
      ( ( v11_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,[],[f153]) ).

fof(f187,plain,
    ! [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))
        & l2_altcat_1(k5_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f162]) ).

fof(f188,plain,
    ! [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))
        & l2_altcat_1(k4_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f205,plain,
    ( ~ r3_yellow20(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0),k9_waybel34(sK0),k8_waybel34(sK0))
    & ~ v2_setfam_1(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f164]) ).

fof(f218,plain,
    ~ v2_setfam_1(sK0),
    inference(cnf_transformation,[],[f205]) ).

fof(f219,plain,
    ~ r3_yellow20(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0),k9_waybel34(sK0),k8_waybel34(sK0)),
    inference(cnf_transformation,[],[f205]) ).

fof(f222,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ~ v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f223,plain,
    ! [X0] :
      ( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f224,plain,
    ! [X2,X3,X0,X1,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(cnf_transformation,[],[f169]) ).

fof(f227,plain,
    ! [X0] :
      ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f228,plain,
    ! [X0] :
      ( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f229,plain,
    ! [X0] :
      ( v2_altcat_1(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f230,plain,
    ! [X0] :
      ( ~ v3_struct_0(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f231,plain,
    ! [X0] :
      ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f232,plain,
    ! [X0] :
      ( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f233,plain,
    ! [X0] :
      ( v2_altcat_1(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ v3_struct_0(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f235,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f236,plain,
    ! [X0] :
      ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f239,plain,
    ! [X0] :
      ( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f249,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f254,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f255,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f256,plain,
    ! [X0] :
      ( v11_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f257,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f259,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f260,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f261,plain,
    ! [X0] :
      ( v11_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f262,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f282,plain,
    ~ v1_xboole_0(sK0),
    inference(resolution,[],[f222,f218]) ).

fof(f292,plain,
    ! [X2,X0,X1] :
      ( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,X2)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X2,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v21_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))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_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))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(superposition,[],[f224,f239]) ).

fof(f293,plain,
    ! [X2,X0,X1] :
      ( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,X2)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X2,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),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))
      | ~ l2_altcat_1(k5_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))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f292,f249]) ).

fof(f295,plain,
    ! [X2,X0,X1] :
      ( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,X2)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X2,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v3_altcat_2(X2,k4_waybel34(X0))
      | ~ m1_altcat_2(X2,k4_waybel34(X0))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),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))
      | ~ l2_altcat_1(k5_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))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f293,f236]) ).

fof(f297,plain,
    ! [X2,X0,X1] :
      ( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,X2)
      | ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X2,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v3_altcat_2(X1,k5_waybel34(X0))
      | ~ m1_altcat_2(X1,k5_waybel34(X0))
      | 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(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v11_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_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))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f295,f235]) ).

fof(f299,plain,
    ( ~ r3_yellow20(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0),k8_waybel34(sK0),k9_waybel34(sK0))
    | v3_struct_0(k9_waybel34(sK0))
    | ~ v2_altcat_1(k9_waybel34(sK0))
    | ~ v3_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | ~ m1_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | v3_struct_0(k8_waybel34(sK0))
    | ~ v2_altcat_1(k8_waybel34(sK0))
    | ~ v3_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v2_setfam_1(sK0) ),
    inference(resolution,[],[f297,f219]) ).

fof(f300,plain,
    ( v3_struct_0(k9_waybel34(sK0))
    | ~ v2_altcat_1(k9_waybel34(sK0))
    | ~ v3_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | ~ m1_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | v3_struct_0(k8_waybel34(sK0))
    | ~ v2_altcat_1(k8_waybel34(sK0))
    | ~ v3_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v2_setfam_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f299,f223]) ).

fof(f301,plain,
    ( ~ v2_altcat_1(k9_waybel34(sK0))
    | ~ v3_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | ~ m1_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | v3_struct_0(k8_waybel34(sK0))
    | ~ v2_altcat_1(k8_waybel34(sK0))
    | ~ v3_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v2_setfam_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f300,f230]) ).

fof(f302,plain,
    ( ~ v3_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | ~ m1_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | v3_struct_0(k8_waybel34(sK0))
    | ~ v2_altcat_1(k8_waybel34(sK0))
    | ~ v3_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v2_setfam_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f301,f229]) ).

fof(f303,plain,
    ( ~ m1_altcat_2(k9_waybel34(sK0),k5_waybel34(sK0))
    | v3_struct_0(k8_waybel34(sK0))
    | ~ v2_altcat_1(k8_waybel34(sK0))
    | ~ v3_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v2_setfam_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f302,f228]) ).

fof(f304,plain,
    ( v3_struct_0(k8_waybel34(sK0))
    | ~ v2_altcat_1(k8_waybel34(sK0))
    | ~ v3_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v2_setfam_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f303,f227]) ).

fof(f305,plain,
    ( ~ v3_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | ~ v2_altcat_1(k8_waybel34(sK0))
    | v3_struct_0(k8_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0)) ),
    inference(forward_subsumption_resolution,[],[f304,f218]) ).

fof(f306,plain,
    ( ~ v2_altcat_1(k8_waybel34(sK0))
    | v3_struct_0(k8_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(resolution,[],[f305,f232]) ).

fof(f307,plain,
    ( v3_struct_0(k8_waybel34(sK0))
    | ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f306,f233]) ).

fof(f308,plain,
    ( ~ m1_altcat_2(k8_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f307,f234]) ).

fof(f309,plain,
    ( v3_struct_0(k5_waybel34(sK0))
    | ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f308,f231]) ).

fof(f310,plain,
    ( ~ v2_altcat_1(k5_waybel34(sK0))
    | ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f309,f258]) ).

fof(f311,plain,
    ( ~ v11_altcat_1(k5_waybel34(sK0))
    | ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f310,f257]) ).

fof(f312,plain,
    ( ~ v12_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f311,f256]) ).

fof(f313,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f312,f255]) ).

fof(f314,plain,
    ( v3_struct_0(k4_waybel34(sK0))
    | ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f313,f254]) ).

fof(f315,plain,
    ( ~ v2_altcat_1(k4_waybel34(sK0))
    | ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f314,f263]) ).

fof(f316,plain,
    ( ~ v11_altcat_1(k4_waybel34(sK0))
    | ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f315,f262]) ).

fof(f317,plain,
    ( ~ v12_altcat_1(k4_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f316,f261]) ).

fof(f318,plain,
    ( ~ l2_altcat_1(k4_waybel34(sK0))
    | v1_xboole_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f317,f260]) ).

fof(f319,plain,
    v1_xboole_0(sK0),
    inference(forward_subsumption_resolution,[],[f318,f259]) ).

fof(f320,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f319,f282]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LAT376+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.31  % Computer : n012.cluster.edu
% 0.03/0.31  % Model    : x86_64 x86_64
% 0.03/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31  % Memory   : 8046.5625MB
% 0.03/0.31  % OS       : Linux 6.8.0-71-generic
% 0.03/0.31  % CPULimit : 300
% 0.03/0.31  % WCLimit  : 300
% 0.03/0.31  % DateTime : Sun Sep 27 15:08:49 UTC 2026
% 0.03/0.31  % CPUTime  : 
% 0.03/0.31  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33  Running first-order theorem proving
% 0.07/0.33  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
% 0.39/0.79  % (2479245)Detected formulas, will run a generic FOF schedule.
% 0.39/0.79  % (2479253)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2724892692:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.39/0.79  % (2479251)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=330893376:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.39/0.79  % (2479254)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2494283185:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.39/0.79  % (2479256)dis-21_1_sil=8000:lcm=predicate:random_seed=2521095485: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)
% 0.39/0.79  % (2479255)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3763207710:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.39/0.79  % (2479250)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=3198025595:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.39/0.79  % (2479252)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=921320110:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.39/0.79  % (2479253)Refutation not found, incomplete strategy
% 0.39/0.79  % (2479253)------------------------------
% 0.39/0.79  % (2479253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.39/0.79  % (2479253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.79  % (2479253)CaDiCaL version: 2.1.3
% 0.39/0.79  % (2479253)Termination reason: Refutation not found, incomplete strategy
% 0.39/0.79  % (2479253)Time elapsed: 0.001 s
% 0.39/0.79  % (2479253)Peak memory usage: 87 MB
% 0.39/0.79  % (2479253)Instructions burned: 1 (million)
% 0.39/0.79  % (2479254)First to succeed.
% 0.39/0.79  % (2479254)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2479245"
% 0.39/0.79  % (2479255)Also succeeded, but the first one will report.
% 0.39/0.79  % (2479256)Instruction limit reached! 
% 0.39/0.79  % (2479256)------------------------------
% 0.39/0.79  % (2479256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.39/0.79  % (2479256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.79  % (2479256)CaDiCaL version: 2.1.3
% 0.39/0.79  % (2479256)Termination reason: Instruction limit
% 0.39/0.79  % (2479256)Termination phase: Saturation
% 0.39/0.79  % (2479256)Time elapsed: 0.037 s
% 0.39/0.79  % (2479256)Peak memory usage: 90 MB
% 0.39/0.79  % (2479256)Instructions burned: 132 (million)
% 0.39/0.79  % (2479264)lrs+10_1_sil=8000:sp=occurrence:random_seed=3162495364:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.39/0.79  % (2479253)------------------------------
% 0.39/0.79  % (2479253)------------------------------
% 0.39/0.79  % (2479254)Refutation found. Thanks to Tanya!
% 0.39/0.79  % SZS status Theorem for theBenchmark
% 0.39/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 2.01/0.88  % (2479254)------------------------------
% 2.01/0.88  % (2479254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.01/0.88  % (2479254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.88  % (2479254)CaDiCaL version: 2.1.3
% 2.01/0.88  % (2479254)Termination reason: Refutation
% 2.01/0.88  % (2479254)Time elapsed: 0.004 s
% 2.01/0.88  % (2479254)Peak memory usage: 88 MB
% 2.01/0.88  % (2479254)Instructions burned: 11 (million)
% 2.01/0.88  % (2479254)------------------------------
% 2.01/0.88  % (2479254)------------------------------
% 2.01/0.88  % (2479245)Success in time 0.262 s
% 2.01/0.88  % Vampire exiting
%------------------------------------------------------------------------------