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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT377+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 11:47:30 AM UTC 2026

% Result   : Theorem 12.20s 2.69s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  327 (  66 unt;  32 def)
%            Number of atoms       : 1237 (   5 equ)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives : 1500 ( 590   ~; 732   |; 117   &)
%                                         (  32 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   56 (  54 usr;  33 prp; 0-5 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-3 aty)
%            Number of variables   :  131 (   0 sgn 130   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f451,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ~ v1_xboole_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).

fof(f7580,axiom,
    ! [X0] :
      ( l2_altcat_1(X0)
     => ! [X1] :
          ( l2_altcat_1(X1)
         => ! [X2] :
              ( l2_altcat_1(X2)
             => ( ( m1_altcat_2(X0,X1)
                  & m1_altcat_2(X1,X2) )
               => m1_altcat_2(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_altcat_2) ).

fof(f7597,axiom,
    ! [X0] :
      ( l2_altcat_1(X0)
     => ! [X1] :
          ( m1_altcat_2(X1,X0)
         => l2_altcat_1(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_altcat_2) ).

fof(f9489,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/sandbox2/benchmark/theBenchmark.p',t36_altcat_4) ).

fof(f10217,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/sandbox2/benchmark/theBenchmark.p',t52_yellow20) ).

fof(f10317,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/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).

fof(f10318,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/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).

fof(f10319,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/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).

fof(f10321,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/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel34) ).

fof(f10322,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/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).

fof(f10323,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/sandbox2/benchmark/theBenchmark.p',dt_k10_waybel34) ).

fof(f10324,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/sandbox2/benchmark/theBenchmark.p',dt_k11_waybel34) ).

fof(f10360,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/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).

fof(f10362,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/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).

fof(f10415,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/sandbox2/benchmark/theBenchmark.p',t58_waybel34) ).

fof(f10416,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/sandbox2/benchmark/theBenchmark.p',t59_waybel34) ).

fof(f10417,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)],[f10416]) ).

fof(f10495,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,[],[f10417]) ).

fof(f10509,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f451]) ).

fof(f10510,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,[],[f10415]) ).

fof(f10513,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,[],[f10217]) ).

fof(f10514,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,[],[f10513]) ).

fof(f10530,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,[],[f10362]) ).

fof(f10532,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,[],[f10360]) ).

fof(f10540,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,[],[f10321]) ).

fof(f10542,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,[],[f10319]) ).

fof(f10543,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,[],[f10317]) ).

fof(f10549,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,[],[f10322]) ).

fof(f10550,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,[],[f10318]) ).

fof(f10557,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,[],[f10323]) ).

fof(f10563,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,[],[f10324]) ).

fof(f10929,plain,
    ! [X0] :
      ( ! [X1] :
          ( l2_altcat_1(X1)
          | ~ m1_altcat_2(X1,X0) )
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f7597]) ).

fof(f10932,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( m1_altcat_2(X0,X2)
              | ~ m1_altcat_2(X0,X1)
              | ~ m1_altcat_2(X1,X2)
              | ~ l2_altcat_1(X2) )
          | ~ l2_altcat_1(X1) )
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f7580]) ).

fof(f10933,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( m1_altcat_2(X0,X2)
              | ~ m1_altcat_2(X0,X1)
              | ~ m1_altcat_2(X1,X2)
              | ~ l2_altcat_1(X2) )
          | ~ l2_altcat_1(X1) )
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f10932]) ).

fof(f10941,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,[],[f9489]) ).

fof(f10942,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,[],[f10941]) ).

fof(f11643,plain,
    ( ~ r3_yellow20(k5_waybel34(sK76),k4_waybel34(sK76),k7_waybel34(sK76),k11_waybel34(sK76),k10_waybel34(sK76))
    & ~ v2_setfam_1(sK76) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(X0,sK76)],[f10495]) ).

fof(f12139,plain,
    ~ v2_setfam_1(sK76),
    inference(cnf_transformation,[],[f11643]) ).

fof(f12140,plain,
    ~ r3_yellow20(k5_waybel34(sK76),k4_waybel34(sK76),k7_waybel34(sK76),k11_waybel34(sK76),k10_waybel34(sK76)),
    inference(cnf_transformation,[],[f11643]) ).

fof(f12177,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ~ v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10509]) ).

fof(f12179,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,[],[f10510]) ).

fof(f12182,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,[],[f10514]) ).

fof(f12239,plain,
    ! [X0] :
      ( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10530]) ).

fof(f12248,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10532]) ).

fof(f12320,plain,
    ! [X0] :
      ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10540]) ).

fof(f12321,plain,
    ! [X0] :
      ( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10540]) ).

fof(f12323,plain,
    ! [X0] :
      ( v2_altcat_1(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10540]) ).

fof(f12324,plain,
    ! [X0] :
      ( ~ v3_struct_0(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10540]) ).

fof(f12328,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10542]) ).

fof(f12329,plain,
    ! [X0] :
      ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10542]) ).

fof(f12331,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10543]) ).

fof(f12333,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10543]) ).

fof(f12334,plain,
    ! [X0] :
      ( v11_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10543]) ).

fof(f12336,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10543]) ).

fof(f12337,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10543]) ).

fof(f12400,plain,
    ! [X0] :
      ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10549]) ).

fof(f12401,plain,
    ! [X0] :
      ( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10549]) ).

fof(f12403,plain,
    ! [X0] :
      ( v2_altcat_1(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10549]) ).

fof(f12404,plain,
    ! [X0] :
      ( ~ v3_struct_0(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10549]) ).

fof(f12405,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10550]) ).

fof(f12407,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10550]) ).

fof(f12408,plain,
    ! [X0] :
      ( v11_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10550]) ).

fof(f12410,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10550]) ).

fof(f12411,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f10550]) ).

fof(f12443,plain,
    ! [X0] :
      ( m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10557]) ).

fof(f12444,plain,
    ! [X0] :
      ( v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10557]) ).

fof(f12447,plain,
    ! [X0] :
      ( v2_altcat_1(k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10557]) ).

fof(f12448,plain,
    ! [X0] :
      ( ~ v3_struct_0(k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10557]) ).

fof(f12465,plain,
    ! [X0] :
      ( m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10563]) ).

fof(f12466,plain,
    ! [X0] :
      ( v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10563]) ).

fof(f12469,plain,
    ! [X0] :
      ( v2_altcat_1(k11_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10563]) ).

fof(f12470,plain,
    ! [X0] :
      ( ~ v3_struct_0(k11_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f10563]) ).

fof(f13160,plain,
    ! [X0,X1] :
      ( ~ m1_altcat_2(X1,X0)
      | l2_altcat_1(X1)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f10929]) ).

fof(f13162,plain,
    ! [X2,X0,X1] :
      ( m1_altcat_2(X0,X2)
      | ~ m1_altcat_2(X0,X1)
      | ~ m1_altcat_2(X1,X2)
      | ~ l2_altcat_1(X2)
      | ~ l2_altcat_1(X1)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f10933]) ).

fof(f13179,plain,
    ! [X2,X0,X1] :
      ( v3_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(cnf_transformation,[],[f10942]) ).

fof(f14528,plain,
    ~ v1_xboole_0(sK76),
    inference(resolution,[],[f12139,f12177]) ).

fof(f14531,plain,
    ( ~ r3_yellow20(k5_waybel34(sK76),k4_waybel34(sK76),k15_functor0(k4_waybel34(sK76),k5_waybel34(sK76),k6_waybel34(sK76)),k11_waybel34(sK76),k10_waybel34(sK76))
    | v2_setfam_1(sK76) ),
    inference(superposition,[],[f12140,f12239]) ).

fof(f14532,plain,
    ~ r3_yellow20(k5_waybel34(sK76),k4_waybel34(sK76),k15_functor0(k4_waybel34(sK76),k5_waybel34(sK76),k6_waybel34(sK76)),k11_waybel34(sK76),k10_waybel34(sK76)),
    inference(forward_subsumption_resolution,[],[f14531,f12139]) ).

fof(f14539,plain,
    ( ~ r3_yellow20(k4_waybel34(sK76),k5_waybel34(sK76),k6_waybel34(sK76),k10_waybel34(sK76),k11_waybel34(sK76))
    | v3_struct_0(k11_waybel34(sK76))
    | ~ v2_altcat_1(k11_waybel34(sK76))
    | ~ v3_altcat_2(k11_waybel34(sK76),k5_waybel34(sK76))
    | ~ m1_altcat_2(k11_waybel34(sK76),k5_waybel34(sK76))
    | v3_struct_0(k10_waybel34(sK76))
    | ~ v2_altcat_1(k10_waybel34(sK76))
    | ~ v3_altcat_2(k10_waybel34(sK76),k4_waybel34(sK76))
    | ~ m1_altcat_2(k10_waybel34(sK76),k4_waybel34(sK76))
    | ~ v21_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76))
    | ~ v16_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76))
    | ~ m2_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76))
    | v3_struct_0(k5_waybel34(sK76))
    | ~ v2_altcat_1(k5_waybel34(sK76))
    | ~ v11_altcat_1(k5_waybel34(sK76))
    | ~ v12_altcat_1(k5_waybel34(sK76))
    | ~ l2_altcat_1(k5_waybel34(sK76))
    | v3_struct_0(k4_waybel34(sK76))
    | ~ v2_altcat_1(k4_waybel34(sK76))
    | ~ v11_altcat_1(k4_waybel34(sK76))
    | ~ v12_altcat_1(k4_waybel34(sK76))
    | ~ l2_altcat_1(k4_waybel34(sK76)) ),
    inference(resolution,[],[f14532,f12182]) ).

fof(f14543,definition,
    ( spl375_1
  <=> l2_altcat_1(k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_1])],[avatar_definition]) ).

fof(f14544,plain,
    ( l2_altcat_1(k4_waybel34(sK76))
    | ~ spl375_1 ),
    inference(avatar_component_clause,[],[f14543]) ).

fof(f14545,plain,
    ( ~ l2_altcat_1(k4_waybel34(sK76))
    | spl375_1 ),
    inference(avatar_component_clause,[],[f14543]) ).

fof(f14547,definition,
    ( spl375_2
  <=> v12_altcat_1(k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_2])],[avatar_definition]) ).

fof(f14548,plain,
    ( v12_altcat_1(k4_waybel34(sK76))
    | ~ spl375_2 ),
    inference(avatar_component_clause,[],[f14547]) ).

fof(f14549,plain,
    ( ~ v12_altcat_1(k4_waybel34(sK76))
    | spl375_2 ),
    inference(avatar_component_clause,[],[f14547]) ).

fof(f14551,definition,
    ( spl375_3
  <=> v11_altcat_1(k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_3])],[avatar_definition]) ).

fof(f14552,plain,
    ( v11_altcat_1(k4_waybel34(sK76))
    | ~ spl375_3 ),
    inference(avatar_component_clause,[],[f14551]) ).

fof(f14553,plain,
    ( ~ v11_altcat_1(k4_waybel34(sK76))
    | spl375_3 ),
    inference(avatar_component_clause,[],[f14551]) ).

fof(f14555,definition,
    ( spl375_4
  <=> v2_altcat_1(k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_4])],[avatar_definition]) ).

fof(f14556,plain,
    ( v2_altcat_1(k4_waybel34(sK76))
    | ~ spl375_4 ),
    inference(avatar_component_clause,[],[f14555]) ).

fof(f14557,plain,
    ( ~ v2_altcat_1(k4_waybel34(sK76))
    | spl375_4 ),
    inference(avatar_component_clause,[],[f14555]) ).

fof(f14559,definition,
    ( spl375_5
  <=> v3_struct_0(k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_5])],[avatar_definition]) ).

fof(f14560,plain,
    ( ~ v3_struct_0(k4_waybel34(sK76))
    | spl375_5 ),
    inference(avatar_component_clause,[],[f14559]) ).

fof(f14561,plain,
    ( v3_struct_0(k4_waybel34(sK76))
    | ~ spl375_5 ),
    inference(avatar_component_clause,[],[f14559]) ).

fof(f14563,definition,
    ( spl375_6
  <=> l2_altcat_1(k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_6])],[avatar_definition]) ).

fof(f14564,plain,
    ( l2_altcat_1(k5_waybel34(sK76))
    | ~ spl375_6 ),
    inference(avatar_component_clause,[],[f14563]) ).

fof(f14565,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK76))
    | spl375_6 ),
    inference(avatar_component_clause,[],[f14563]) ).

fof(f14567,definition,
    ( spl375_7
  <=> v12_altcat_1(k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_7])],[avatar_definition]) ).

fof(f14568,plain,
    ( v12_altcat_1(k5_waybel34(sK76))
    | ~ spl375_7 ),
    inference(avatar_component_clause,[],[f14567]) ).

fof(f14569,plain,
    ( ~ v12_altcat_1(k5_waybel34(sK76))
    | spl375_7 ),
    inference(avatar_component_clause,[],[f14567]) ).

fof(f14571,definition,
    ( spl375_8
  <=> v11_altcat_1(k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_8])],[avatar_definition]) ).

fof(f14572,plain,
    ( v11_altcat_1(k5_waybel34(sK76))
    | ~ spl375_8 ),
    inference(avatar_component_clause,[],[f14571]) ).

fof(f14573,plain,
    ( ~ v11_altcat_1(k5_waybel34(sK76))
    | spl375_8 ),
    inference(avatar_component_clause,[],[f14571]) ).

fof(f14575,definition,
    ( spl375_9
  <=> v2_altcat_1(k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_9])],[avatar_definition]) ).

fof(f14576,plain,
    ( v2_altcat_1(k5_waybel34(sK76))
    | ~ spl375_9 ),
    inference(avatar_component_clause,[],[f14575]) ).

fof(f14577,plain,
    ( ~ v2_altcat_1(k5_waybel34(sK76))
    | spl375_9 ),
    inference(avatar_component_clause,[],[f14575]) ).

fof(f14579,definition,
    ( spl375_10
  <=> v3_struct_0(k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_10])],[avatar_definition]) ).

fof(f14580,plain,
    ( ~ v3_struct_0(k5_waybel34(sK76))
    | spl375_10 ),
    inference(avatar_component_clause,[],[f14579]) ).

fof(f14581,plain,
    ( v3_struct_0(k5_waybel34(sK76))
    | ~ spl375_10 ),
    inference(avatar_component_clause,[],[f14579]) ).

fof(f14583,definition,
    ( spl375_11
  <=> m2_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_11])],[avatar_definition]) ).

fof(f14585,plain,
    ( ~ m2_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76))
    | spl375_11 ),
    inference(avatar_component_clause,[],[f14583]) ).

fof(f14587,definition,
    ( spl375_12
  <=> v16_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_12])],[avatar_definition]) ).

fof(f14589,plain,
    ( ~ v16_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76))
    | spl375_12 ),
    inference(avatar_component_clause,[],[f14587]) ).

fof(f14591,definition,
    ( spl375_13
  <=> v21_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_13])],[avatar_definition]) ).

fof(f14593,plain,
    ( ~ v21_functor0(k6_waybel34(sK76),k4_waybel34(sK76),k5_waybel34(sK76))
    | spl375_13 ),
    inference(avatar_component_clause,[],[f14591]) ).

fof(f14595,definition,
    ( spl375_14
  <=> m1_altcat_2(k10_waybel34(sK76),k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_14])],[avatar_definition]) ).

fof(f14597,plain,
    ( ~ m1_altcat_2(k10_waybel34(sK76),k4_waybel34(sK76))
    | spl375_14 ),
    inference(avatar_component_clause,[],[f14595]) ).

fof(f14599,definition,
    ( spl375_15
  <=> v3_altcat_2(k10_waybel34(sK76),k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_15])],[avatar_definition]) ).

fof(f14601,plain,
    ( ~ v3_altcat_2(k10_waybel34(sK76),k4_waybel34(sK76))
    | spl375_15 ),
    inference(avatar_component_clause,[],[f14599]) ).

fof(f14603,definition,
    ( spl375_16
  <=> v2_altcat_1(k10_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_16])],[avatar_definition]) ).

fof(f14604,plain,
    ( v2_altcat_1(k10_waybel34(sK76))
    | ~ spl375_16 ),
    inference(avatar_component_clause,[],[f14603]) ).

fof(f14605,plain,
    ( ~ v2_altcat_1(k10_waybel34(sK76))
    | spl375_16 ),
    inference(avatar_component_clause,[],[f14603]) ).

fof(f14607,definition,
    ( spl375_17
  <=> v3_struct_0(k10_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_17])],[avatar_definition]) ).

fof(f14608,plain,
    ( ~ v3_struct_0(k10_waybel34(sK76))
    | spl375_17 ),
    inference(avatar_component_clause,[],[f14607]) ).

fof(f14609,plain,
    ( v3_struct_0(k10_waybel34(sK76))
    | ~ spl375_17 ),
    inference(avatar_component_clause,[],[f14607]) ).

fof(f14611,definition,
    ( spl375_18
  <=> m1_altcat_2(k11_waybel34(sK76),k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_18])],[avatar_definition]) ).

fof(f14613,plain,
    ( ~ m1_altcat_2(k11_waybel34(sK76),k5_waybel34(sK76))
    | spl375_18 ),
    inference(avatar_component_clause,[],[f14611]) ).

fof(f14615,definition,
    ( spl375_19
  <=> v3_altcat_2(k11_waybel34(sK76),k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_19])],[avatar_definition]) ).

fof(f14617,plain,
    ( ~ v3_altcat_2(k11_waybel34(sK76),k5_waybel34(sK76))
    | spl375_19 ),
    inference(avatar_component_clause,[],[f14615]) ).

fof(f14619,definition,
    ( spl375_20
  <=> v2_altcat_1(k11_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_20])],[avatar_definition]) ).

fof(f14620,plain,
    ( v2_altcat_1(k11_waybel34(sK76))
    | ~ spl375_20 ),
    inference(avatar_component_clause,[],[f14619]) ).

fof(f14621,plain,
    ( ~ v2_altcat_1(k11_waybel34(sK76))
    | spl375_20 ),
    inference(avatar_component_clause,[],[f14619]) ).

fof(f14623,definition,
    ( spl375_21
  <=> v3_struct_0(k11_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_21])],[avatar_definition]) ).

fof(f14624,plain,
    ( ~ v3_struct_0(k11_waybel34(sK76))
    | spl375_21 ),
    inference(avatar_component_clause,[],[f14623]) ).

fof(f14625,plain,
    ( v3_struct_0(k11_waybel34(sK76))
    | ~ spl375_21 ),
    inference(avatar_component_clause,[],[f14623]) ).

fof(f14627,definition,
    ( spl375_22
  <=> r3_yellow20(k4_waybel34(sK76),k5_waybel34(sK76),k6_waybel34(sK76),k10_waybel34(sK76),k11_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_22])],[avatar_definition]) ).

fof(f14629,plain,
    ( ~ r3_yellow20(k4_waybel34(sK76),k5_waybel34(sK76),k6_waybel34(sK76),k10_waybel34(sK76),k11_waybel34(sK76))
    | spl375_22 ),
    inference(avatar_component_clause,[],[f14627]) ).

fof(f14630,plain,
    ( ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | ~ spl375_6
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | ~ spl375_11
    | ~ spl375_12
    | ~ spl375_13
    | ~ spl375_14
    | ~ spl375_15
    | ~ spl375_16
    | spl375_17
    | ~ spl375_18
    | ~ spl375_19
    | ~ spl375_20
    | spl375_21
    | ~ spl375_22 ),
    inference(avatar_split_clause,[],[f14539,f14627,f14623,f14619,f14615,f14611,f14607,f14603,f14599,f14595,f14591,f14587,f14583,f14579,f14575,f14571,f14567,f14563,f14559,f14555,f14551,f14547,f14543]) ).

fof(f14631,plain,
    ( v1_xboole_0(sK76)
    | spl375_1 ),
    inference(resolution,[],[f14545,f12331]) ).

fof(f14633,plain,
    ( $false
    | spl375_1 ),
    inference(forward_subsumption_resolution,[],[f14631,f14528]) ).

fof(f14634,plain,
    spl375_1,
    inference(avatar_contradiction_clause,[],[f14633]) ).

fof(f14636,plain,
    ( v1_xboole_0(sK76)
    | spl375_2 ),
    inference(resolution,[],[f14549,f12333]) ).

fof(f14639,plain,
    ( $false
    | spl375_2 ),
    inference(forward_subsumption_resolution,[],[f14636,f14528]) ).

fof(f14640,plain,
    spl375_2,
    inference(avatar_contradiction_clause,[],[f14639]) ).

fof(f14642,plain,
    ( v1_xboole_0(sK76)
    | spl375_3 ),
    inference(resolution,[],[f14553,f12334]) ).

fof(f14645,plain,
    ( $false
    | spl375_3 ),
    inference(forward_subsumption_resolution,[],[f14642,f14528]) ).

fof(f14646,plain,
    spl375_3,
    inference(avatar_contradiction_clause,[],[f14645]) ).

fof(f14648,plain,
    ( v1_xboole_0(sK76)
    | spl375_4 ),
    inference(resolution,[],[f14557,f12336]) ).

fof(f14651,plain,
    ( $false
    | spl375_4 ),
    inference(forward_subsumption_resolution,[],[f14648,f14528]) ).

fof(f14652,plain,
    spl375_4,
    inference(avatar_contradiction_clause,[],[f14651]) ).

fof(f14655,plain,
    ( v1_xboole_0(sK76)
    | spl375_6 ),
    inference(resolution,[],[f14565,f12405]) ).

fof(f14657,plain,
    ( $false
    | spl375_6 ),
    inference(forward_subsumption_resolution,[],[f14655,f14528]) ).

fof(f14658,plain,
    spl375_6,
    inference(avatar_contradiction_clause,[],[f14657]) ).

fof(f14660,plain,
    ( v1_xboole_0(sK76)
    | spl375_7 ),
    inference(resolution,[],[f14569,f12407]) ).

fof(f14663,plain,
    ( $false
    | spl375_7 ),
    inference(forward_subsumption_resolution,[],[f14660,f14528]) ).

fof(f14664,plain,
    spl375_7,
    inference(avatar_contradiction_clause,[],[f14663]) ).

fof(f14666,plain,
    ( v1_xboole_0(sK76)
    | spl375_8 ),
    inference(resolution,[],[f14573,f12408]) ).

fof(f14669,plain,
    ( $false
    | spl375_8 ),
    inference(forward_subsumption_resolution,[],[f14666,f14528]) ).

fof(f14670,plain,
    spl375_8,
    inference(avatar_contradiction_clause,[],[f14669]) ).

fof(f14672,plain,
    ( v1_xboole_0(sK76)
    | spl375_9 ),
    inference(resolution,[],[f14577,f12410]) ).

fof(f14675,plain,
    ( $false
    | spl375_9 ),
    inference(forward_subsumption_resolution,[],[f14672,f14528]) ).

fof(f14676,plain,
    spl375_9,
    inference(avatar_contradiction_clause,[],[f14675]) ).

fof(f14679,plain,
    ( v2_setfam_1(sK76)
    | spl375_16 ),
    inference(resolution,[],[f14605,f12447]) ).

fof(f14681,plain,
    ( $false
    | spl375_16 ),
    inference(forward_subsumption_resolution,[],[f14679,f12139]) ).

fof(f14682,plain,
    spl375_16,
    inference(avatar_contradiction_clause,[],[f14681]) ).

fof(f14683,plain,
    ( v2_setfam_1(sK76)
    | spl375_20 ),
    inference(resolution,[],[f14621,f12469]) ).

fof(f14684,plain,
    ( $false
    | spl375_20 ),
    inference(forward_subsumption_resolution,[],[f14683,f12139]) ).

fof(f14685,plain,
    spl375_20,
    inference(avatar_contradiction_clause,[],[f14684]) ).

fof(f14686,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76))
        | ~ l2_altcat_1(X0)
        | ~ l2_altcat_1(k10_waybel34(sK76)) )
    | spl375_14 ),
    inference(resolution,[],[f14597,f13162]) ).

fof(f14688,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76))
        | ~ l2_altcat_1(X0) )
    | spl375_14 ),
    inference(forward_subsumption_resolution,[],[f14686,f13160]) ).

fof(f14689,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76)) )
    | spl375_14 ),
    inference(forward_subsumption_resolution,[],[f14688,f13160]) ).

fof(f14690,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK76)) )
    | ~ spl375_1
    | spl375_14 ),
    inference(forward_subsumption_resolution,[],[f14689,f14544]) ).

fof(f14692,plain,
    ( ! [X0] :
        ( v3_struct_0(k10_waybel34(sK76))
        | ~ v2_altcat_1(k10_waybel34(sK76))
        | ~ v3_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK76))
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | v3_struct_0(k4_waybel34(sK76))
        | ~ v2_altcat_1(k4_waybel34(sK76))
        | ~ v11_altcat_1(k4_waybel34(sK76))
        | ~ v12_altcat_1(k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76)) )
    | spl375_15 ),
    inference(resolution,[],[f14601,f13179]) ).

fof(f14694,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76))
        | ~ l2_altcat_1(X0)
        | ~ l2_altcat_1(k11_waybel34(sK76)) )
    | spl375_18 ),
    inference(resolution,[],[f14613,f13162]) ).

fof(f14696,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76))
        | ~ l2_altcat_1(X0) )
    | spl375_18 ),
    inference(forward_subsumption_resolution,[],[f14694,f13160]) ).

fof(f14697,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76)) )
    | spl375_18 ),
    inference(forward_subsumption_resolution,[],[f14696,f13160]) ).

fof(f14698,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK76)) )
    | ~ spl375_6
    | spl375_18 ),
    inference(forward_subsumption_resolution,[],[f14697,f14564]) ).

fof(f14700,plain,
    ( ! [X0] :
        ( v3_struct_0(k11_waybel34(sK76))
        | ~ v2_altcat_1(k11_waybel34(sK76))
        | ~ v3_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK76))
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | v3_struct_0(k5_waybel34(sK76))
        | ~ v2_altcat_1(k5_waybel34(sK76))
        | ~ v11_altcat_1(k5_waybel34(sK76))
        | ~ v12_altcat_1(k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76)) )
    | spl375_19 ),
    inference(resolution,[],[f14617,f13179]) ).

fof(f14702,plain,
    ( v2_setfam_1(sK76)
    | spl375_11 ),
    inference(resolution,[],[f14585,f12328]) ).

fof(f14709,plain,
    ( $false
    | spl375_11 ),
    inference(forward_subsumption_resolution,[],[f14702,f12139]) ).

fof(f14710,plain,
    spl375_11,
    inference(avatar_contradiction_clause,[],[f14709]) ).

fof(f14797,plain,
    ( v1_xboole_0(sK76)
    | ~ spl375_10 ),
    inference(resolution,[],[f14581,f12411]) ).

fof(f14800,plain,
    ( $false
    | ~ spl375_10 ),
    inference(forward_subsumption_resolution,[],[f14797,f14528]) ).

fof(f14801,plain,
    ~ spl375_10,
    inference(avatar_contradiction_clause,[],[f14800]) ).

fof(f14856,plain,
    ( v2_setfam_1(sK76)
    | spl375_12 ),
    inference(resolution,[],[f14589,f12329]) ).

fof(f14864,plain,
    ( $false
    | spl375_12 ),
    inference(forward_subsumption_resolution,[],[f14856,f12139]) ).

fof(f14865,plain,
    spl375_12,
    inference(avatar_contradiction_clause,[],[f14864]) ).

fof(f14928,plain,
    ( v2_setfam_1(sK76)
    | spl375_13 ),
    inference(resolution,[],[f14593,f12248]) ).

fof(f14931,plain,
    ( $false
    | spl375_13 ),
    inference(forward_subsumption_resolution,[],[f14928,f12139]) ).

fof(f14932,plain,
    spl375_13,
    inference(avatar_contradiction_clause,[],[f14931]) ).

fof(f14946,plain,
    ( v2_setfam_1(sK76)
    | spl375_22 ),
    inference(resolution,[],[f14629,f12179]) ).

fof(f14949,plain,
    ( $false
    | spl375_22 ),
    inference(forward_subsumption_resolution,[],[f14946,f12139]) ).

fof(f14950,plain,
    spl375_22,
    inference(avatar_contradiction_clause,[],[f14949]) ).

fof(f15129,plain,
    ( ~ m1_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | v2_setfam_1(sK76)
    | ~ spl375_1
    | spl375_14 ),
    inference(resolution,[],[f14690,f12443]) ).

fof(f15132,plain,
    ( ~ m1_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | ~ spl375_1
    | spl375_14 ),
    inference(forward_subsumption_resolution,[],[f15129,f12139]) ).

fof(f15133,plain,
    ( ~ m1_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76))
    | v2_setfam_1(sK76)
    | ~ spl375_6
    | spl375_18 ),
    inference(resolution,[],[f14698,f12465]) ).

fof(f15136,plain,
    ( ~ m1_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76))
    | ~ spl375_6
    | spl375_18 ),
    inference(forward_subsumption_resolution,[],[f15133,f12139]) ).

fof(f15137,plain,
    ( v1_xboole_0(sK76)
    | ~ spl375_1
    | spl375_14 ),
    inference(resolution,[],[f15132,f12320]) ).

fof(f15141,plain,
    ( $false
    | ~ spl375_1
    | spl375_14 ),
    inference(forward_subsumption_resolution,[],[f15137,f14528]) ).

fof(f15142,plain,
    ( ~ spl375_1
    | spl375_14 ),
    inference(avatar_contradiction_clause,[],[f15141]) ).

fof(f15181,plain,
    ( v1_xboole_0(sK76)
    | ~ spl375_5 ),
    inference(resolution,[],[f14561,f12337]) ).

fof(f15184,plain,
    ( $false
    | ~ spl375_5 ),
    inference(forward_subsumption_resolution,[],[f15181,f14528]) ).

fof(f15185,plain,
    ~ spl375_5,
    inference(avatar_contradiction_clause,[],[f15184]) ).

fof(f15192,plain,
    ( ! [X0] :
        ( ~ v2_altcat_1(k10_waybel34(sK76))
        | ~ v3_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK76))
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | v3_struct_0(k4_waybel34(sK76))
        | ~ v2_altcat_1(k4_waybel34(sK76))
        | ~ v11_altcat_1(k4_waybel34(sK76))
        | ~ v12_altcat_1(k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76)) )
    | spl375_15
    | spl375_17 ),
    inference(forward_subsumption_resolution,[],[f14692,f14608]) ).

fof(f15193,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK76))
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | v3_struct_0(k4_waybel34(sK76))
        | ~ v2_altcat_1(k4_waybel34(sK76))
        | ~ v11_altcat_1(k4_waybel34(sK76))
        | ~ v12_altcat_1(k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76)) )
    | spl375_15
    | ~ spl375_16
    | spl375_17 ),
    inference(forward_subsumption_resolution,[],[f15192,f14604]) ).

fof(f15194,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK76))
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | ~ v2_altcat_1(k4_waybel34(sK76))
        | ~ v11_altcat_1(k4_waybel34(sK76))
        | ~ v12_altcat_1(k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76)) )
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17 ),
    inference(forward_subsumption_resolution,[],[f15193,f14560]) ).

fof(f15195,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK76))
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | ~ v11_altcat_1(k4_waybel34(sK76))
        | ~ v12_altcat_1(k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76)) )
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17 ),
    inference(forward_subsumption_resolution,[],[f15194,f14556]) ).

fof(f15196,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK76))
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | ~ v12_altcat_1(k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76)) )
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17 ),
    inference(forward_subsumption_resolution,[],[f15195,f14552]) ).

fof(f15197,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK76))
        | ~ m1_altcat_2(X0,k4_waybel34(sK76))
        | ~ l2_altcat_1(k4_waybel34(sK76)) )
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17 ),
    inference(forward_subsumption_resolution,[],[f15196,f14548]) ).

fof(f15198,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK76),X0)
        | ~ m1_altcat_2(k10_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK76))
        | ~ m1_altcat_2(X0,k4_waybel34(sK76)) )
    | ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17 ),
    inference(forward_subsumption_resolution,[],[f15197,f14544]) ).

fof(f15205,plain,
    ( v2_setfam_1(sK76)
    | ~ spl375_6
    | spl375_18 ),
    inference(resolution,[],[f15136,f12400]) ).

fof(f15209,plain,
    ( $false
    | ~ spl375_6
    | spl375_18 ),
    inference(forward_subsumption_resolution,[],[f15205,f12139]) ).

fof(f15210,plain,
    ( ~ spl375_6
    | spl375_18 ),
    inference(avatar_contradiction_clause,[],[f15209]) ).

fof(f15213,plain,
    ( ! [X0] :
        ( ~ v2_altcat_1(k11_waybel34(sK76))
        | ~ v3_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK76))
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | v3_struct_0(k5_waybel34(sK76))
        | ~ v2_altcat_1(k5_waybel34(sK76))
        | ~ v11_altcat_1(k5_waybel34(sK76))
        | ~ v12_altcat_1(k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76)) )
    | spl375_19
    | spl375_21 ),
    inference(forward_subsumption_resolution,[],[f14700,f14624]) ).

fof(f15214,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK76))
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | v3_struct_0(k5_waybel34(sK76))
        | ~ v2_altcat_1(k5_waybel34(sK76))
        | ~ v11_altcat_1(k5_waybel34(sK76))
        | ~ v12_altcat_1(k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76)) )
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(forward_subsumption_resolution,[],[f15213,f14620]) ).

fof(f15215,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK76))
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | ~ v2_altcat_1(k5_waybel34(sK76))
        | ~ v11_altcat_1(k5_waybel34(sK76))
        | ~ v12_altcat_1(k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76)) )
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(forward_subsumption_resolution,[],[f15214,f14580]) ).

fof(f15216,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK76))
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | ~ v11_altcat_1(k5_waybel34(sK76))
        | ~ v12_altcat_1(k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76)) )
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(forward_subsumption_resolution,[],[f15215,f14576]) ).

fof(f15217,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK76))
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | ~ v12_altcat_1(k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76)) )
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(forward_subsumption_resolution,[],[f15216,f14572]) ).

fof(f15218,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK76))
        | ~ m1_altcat_2(X0,k5_waybel34(sK76))
        | ~ l2_altcat_1(k5_waybel34(sK76)) )
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(forward_subsumption_resolution,[],[f15217,f14568]) ).

fof(f15219,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK76),X0)
        | ~ m1_altcat_2(k11_waybel34(sK76),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK76))
        | ~ m1_altcat_2(X0,k5_waybel34(sK76)) )
    | ~ spl375_6
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(forward_subsumption_resolution,[],[f15218,f14564]) ).

fof(f15348,definition,
    ( spl375_54
  <=> v2_altcat_1(k8_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_54])],[avatar_definition]) ).

fof(f15349,plain,
    ( v2_altcat_1(k8_waybel34(sK76))
    | ~ spl375_54 ),
    inference(avatar_component_clause,[],[f15348]) ).

fof(f15350,plain,
    ( ~ v2_altcat_1(k8_waybel34(sK76))
    | spl375_54 ),
    inference(avatar_component_clause,[],[f15348]) ).

fof(f15352,definition,
    ( spl375_55
  <=> v3_struct_0(k8_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_55])],[avatar_definition]) ).

fof(f15353,plain,
    ( ~ v3_struct_0(k8_waybel34(sK76))
    | spl375_55 ),
    inference(avatar_component_clause,[],[f15352]) ).

fof(f15354,plain,
    ( v3_struct_0(k8_waybel34(sK76))
    | ~ spl375_55 ),
    inference(avatar_component_clause,[],[f15352]) ).

fof(f15468,plain,
    ( v1_xboole_0(sK76)
    | spl375_54 ),
    inference(resolution,[],[f15350,f12323]) ).

fof(f15469,plain,
    ( $false
    | spl375_54 ),
    inference(forward_subsumption_resolution,[],[f15468,f14528]) ).

fof(f15470,plain,
    spl375_54,
    inference(avatar_contradiction_clause,[],[f15469]) ).

fof(f15483,plain,
    ( ~ m1_altcat_2(k10_waybel34(sK76),k8_waybel34(sK76))
    | v3_struct_0(k8_waybel34(sK76))
    | ~ v2_altcat_1(k8_waybel34(sK76))
    | ~ v3_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | ~ m1_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | v2_setfam_1(sK76)
    | ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17 ),
    inference(resolution,[],[f15198,f12444]) ).

fof(f15491,plain,
    ( ~ m1_altcat_2(k10_waybel34(sK76),k8_waybel34(sK76))
    | ~ v2_altcat_1(k8_waybel34(sK76))
    | ~ v3_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | ~ m1_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | v2_setfam_1(sK76)
    | ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17
    | spl375_55 ),
    inference(forward_subsumption_resolution,[],[f15483,f15353]) ).

fof(f15494,plain,
    ( ~ m1_altcat_2(k10_waybel34(sK76),k8_waybel34(sK76))
    | ~ v3_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | ~ m1_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | v2_setfam_1(sK76)
    | ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17
    | ~ spl375_54
    | spl375_55 ),
    inference(forward_subsumption_resolution,[],[f15491,f15349]) ).

fof(f15497,plain,
    ( ~ m1_altcat_2(k10_waybel34(sK76),k8_waybel34(sK76))
    | ~ v3_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | ~ m1_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17
    | ~ spl375_54
    | spl375_55 ),
    inference(forward_subsumption_resolution,[],[f15494,f12139]) ).

fof(f15499,definition,
    ( spl375_56
  <=> m1_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_56])],[avatar_definition]) ).

fof(f15501,plain,
    ( ~ m1_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | spl375_56 ),
    inference(avatar_component_clause,[],[f15499]) ).

fof(f15503,definition,
    ( spl375_57
  <=> v3_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_57])],[avatar_definition]) ).

fof(f15505,plain,
    ( ~ v3_altcat_2(k8_waybel34(sK76),k4_waybel34(sK76))
    | spl375_57 ),
    inference(avatar_component_clause,[],[f15503]) ).

fof(f15507,definition,
    ( spl375_58
  <=> m1_altcat_2(k10_waybel34(sK76),k8_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_58])],[avatar_definition]) ).

fof(f15509,plain,
    ( ~ m1_altcat_2(k10_waybel34(sK76),k8_waybel34(sK76))
    | spl375_58 ),
    inference(avatar_component_clause,[],[f15507]) ).

fof(f15511,plain,
    ( ~ spl375_56
    | ~ spl375_57
    | ~ spl375_58
    | ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17
    | ~ spl375_54
    | spl375_55 ),
    inference(avatar_split_clause,[],[f15497,f15352,f15348,f14607,f14603,f14599,f14559,f14555,f14551,f14547,f14543,f15507,f15503,f15499]) ).

fof(f15512,plain,
    ( ~ m1_altcat_2(k11_waybel34(sK76),k9_waybel34(sK76))
    | v3_struct_0(k9_waybel34(sK76))
    | ~ v2_altcat_1(k9_waybel34(sK76))
    | ~ v3_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76))
    | ~ m1_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76))
    | v2_setfam_1(sK76)
    | ~ spl375_6
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(resolution,[],[f15219,f12466]) ).

fof(f15518,plain,
    ( ~ m1_altcat_2(k11_waybel34(sK76),k9_waybel34(sK76))
    | v3_struct_0(k9_waybel34(sK76))
    | ~ v2_altcat_1(k9_waybel34(sK76))
    | ~ v3_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76))
    | ~ m1_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76))
    | ~ spl375_6
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(forward_subsumption_resolution,[],[f15512,f12139]) ).

fof(f15521,definition,
    ( spl375_59
  <=> m1_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_59])],[avatar_definition]) ).

fof(f15523,plain,
    ( ~ m1_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76))
    | spl375_59 ),
    inference(avatar_component_clause,[],[f15521]) ).

fof(f15525,definition,
    ( spl375_60
  <=> v3_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_60])],[avatar_definition]) ).

fof(f15527,plain,
    ( ~ v3_altcat_2(k9_waybel34(sK76),k5_waybel34(sK76))
    | spl375_60 ),
    inference(avatar_component_clause,[],[f15525]) ).

fof(f15529,definition,
    ( spl375_61
  <=> v2_altcat_1(k9_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_61])],[avatar_definition]) ).

fof(f15531,plain,
    ( ~ v2_altcat_1(k9_waybel34(sK76))
    | spl375_61 ),
    inference(avatar_component_clause,[],[f15529]) ).

fof(f15533,definition,
    ( spl375_62
  <=> v3_struct_0(k9_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_62])],[avatar_definition]) ).

fof(f15535,plain,
    ( v3_struct_0(k9_waybel34(sK76))
    | ~ spl375_62 ),
    inference(avatar_component_clause,[],[f15533]) ).

fof(f15537,definition,
    ( spl375_63
  <=> m1_altcat_2(k11_waybel34(sK76),k9_waybel34(sK76)) ),
    introduced(definition,[new_symbols(definition,[spl375_63])],[avatar_definition]) ).

fof(f15539,plain,
    ( ~ m1_altcat_2(k11_waybel34(sK76),k9_waybel34(sK76))
    | spl375_63 ),
    inference(avatar_component_clause,[],[f15537]) ).

fof(f15540,plain,
    ( ~ spl375_59
    | ~ spl375_60
    | ~ spl375_61
    | spl375_62
    | ~ spl375_63
    | ~ spl375_6
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21 ),
    inference(avatar_split_clause,[],[f15518,f14623,f14619,f14615,f14579,f14575,f14571,f14567,f14563,f15537,f15533,f15529,f15525,f15521]) ).

fof(f15542,plain,
    ( v2_setfam_1(sK76)
    | spl375_61 ),
    inference(resolution,[],[f15531,f12403]) ).

fof(f15543,plain,
    ( $false
    | spl375_61 ),
    inference(forward_subsumption_resolution,[],[f15542,f12139]) ).

fof(f15544,plain,
    spl375_61,
    inference(avatar_contradiction_clause,[],[f15543]) ).

fof(f15670,plain,
    ( v1_xboole_0(sK76)
    | spl375_56 ),
    inference(resolution,[],[f15501,f12320]) ).

fof(f15673,plain,
    ( $false
    | spl375_56 ),
    inference(forward_subsumption_resolution,[],[f15670,f14528]) ).

fof(f15674,plain,
    spl375_56,
    inference(avatar_contradiction_clause,[],[f15673]) ).

fof(f15712,plain,
    ( v1_xboole_0(sK76)
    | spl375_57 ),
    inference(resolution,[],[f15505,f12321]) ).

fof(f15717,plain,
    ( $false
    | spl375_57 ),
    inference(forward_subsumption_resolution,[],[f15712,f14528]) ).

fof(f15718,plain,
    spl375_57,
    inference(avatar_contradiction_clause,[],[f15717]) ).

fof(f15886,plain,
    ( v2_setfam_1(sK76)
    | spl375_58 ),
    inference(resolution,[],[f15509,f12443]) ).

fof(f15890,plain,
    ( $false
    | spl375_58 ),
    inference(forward_subsumption_resolution,[],[f15886,f12139]) ).

fof(f15891,plain,
    spl375_58,
    inference(avatar_contradiction_clause,[],[f15890]) ).

fof(f15894,plain,
    ( v1_xboole_0(sK76)
    | ~ spl375_55 ),
    inference(resolution,[],[f15354,f12324]) ).

fof(f15895,plain,
    ( $false
    | ~ spl375_55 ),
    inference(forward_subsumption_resolution,[],[f15894,f14528]) ).

fof(f15896,plain,
    ~ spl375_55,
    inference(avatar_contradiction_clause,[],[f15895]) ).

fof(f16030,plain,
    ( v2_setfam_1(sK76)
    | spl375_59 ),
    inference(resolution,[],[f15523,f12400]) ).

fof(f16033,plain,
    ( $false
    | spl375_59 ),
    inference(forward_subsumption_resolution,[],[f16030,f12139]) ).

fof(f16034,plain,
    spl375_59,
    inference(avatar_contradiction_clause,[],[f16033]) ).

fof(f16069,plain,
    ( v2_setfam_1(sK76)
    | ~ spl375_62 ),
    inference(resolution,[],[f15535,f12404]) ).

fof(f16070,plain,
    ( $false
    | ~ spl375_62 ),
    inference(forward_subsumption_resolution,[],[f16069,f12139]) ).

fof(f16071,plain,
    ~ spl375_62,
    inference(avatar_contradiction_clause,[],[f16070]) ).

fof(f16072,plain,
    ( v2_setfam_1(sK76)
    | spl375_60 ),
    inference(resolution,[],[f15527,f12401]) ).

fof(f16077,plain,
    ( $false
    | spl375_60 ),
    inference(forward_subsumption_resolution,[],[f16072,f12139]) ).

fof(f16078,plain,
    spl375_60,
    inference(avatar_contradiction_clause,[],[f16077]) ).

fof(f16246,plain,
    ( v2_setfam_1(sK76)
    | spl375_63 ),
    inference(resolution,[],[f15539,f12465]) ).

fof(f16250,plain,
    ( $false
    | spl375_63 ),
    inference(forward_subsumption_resolution,[],[f16246,f12139]) ).

fof(f16251,plain,
    spl375_63,
    inference(avatar_contradiction_clause,[],[f16250]) ).

fof(f16265,plain,
    ( v2_setfam_1(sK76)
    | ~ spl375_21 ),
    inference(resolution,[],[f14625,f12470]) ).

fof(f16266,plain,
    ( $false
    | ~ spl375_21 ),
    inference(forward_subsumption_resolution,[],[f16265,f12139]) ).

fof(f16267,plain,
    ~ spl375_21,
    inference(avatar_contradiction_clause,[],[f16266]) ).

fof(f16268,plain,
    ( v2_setfam_1(sK76)
    | ~ spl375_17 ),
    inference(resolution,[],[f14609,f12448]) ).

fof(f16272,plain,
    ( $false
    | ~ spl375_17 ),
    inference(forward_subsumption_resolution,[],[f16268,f12139]) ).

fof(f16273,plain,
    ~ spl375_17,
    inference(avatar_contradiction_clause,[],[f16272]) ).

cnf(s1,plain,
    ( ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | ~ spl375_6
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | ~ spl375_11
    | ~ spl375_12
    | ~ spl375_13
    | ~ spl375_14
    | ~ spl375_15
    | ~ spl375_16
    | spl375_17
    | ~ spl375_18
    | ~ spl375_19
    | ~ spl375_20
    | spl375_21
    | ~ spl375_22 ),
    inference(sat_conversion,[],[f14630]) ).

cnf(s2,plain,
    spl375_1,
    inference(sat_conversion,[],[f14634]) ).

cnf(s3,plain,
    spl375_2,
    inference(sat_conversion,[],[f14640]) ).

cnf(s4,plain,
    spl375_3,
    inference(sat_conversion,[],[f14646]) ).

cnf(s5,plain,
    spl375_4,
    inference(sat_conversion,[],[f14652]) ).

cnf(s6,plain,
    spl375_6,
    inference(sat_conversion,[],[f14658]) ).

cnf(s7,plain,
    spl375_7,
    inference(sat_conversion,[],[f14664]) ).

cnf(s8,plain,
    spl375_8,
    inference(sat_conversion,[],[f14670]) ).

cnf(s9,plain,
    spl375_9,
    inference(sat_conversion,[],[f14676]) ).

cnf(s10,plain,
    spl375_16,
    inference(sat_conversion,[],[f14682]) ).

cnf(s11,plain,
    spl375_20,
    inference(sat_conversion,[],[f14685]) ).

cnf(s12,plain,
    spl375_11,
    inference(sat_conversion,[],[f14710]) ).

cnf(s18,plain,
    ~ spl375_10,
    inference(sat_conversion,[],[f14801]) ).

cnf(s24,plain,
    spl375_12,
    inference(sat_conversion,[],[f14865]) ).

cnf(s30,plain,
    spl375_13,
    inference(sat_conversion,[],[f14932]) ).

cnf(s31,plain,
    spl375_22,
    inference(sat_conversion,[],[f14950]) ).

cnf(s41,plain,
    ( ~ spl375_1
    | spl375_14 ),
    inference(sat_conversion,[],[f15142]) ).

cnf(s45,plain,
    ~ spl375_5,
    inference(sat_conversion,[],[f15185]) ).

cnf(s47,plain,
    ( ~ spl375_6
    | spl375_18 ),
    inference(sat_conversion,[],[f15210]) ).

cnf(s59,plain,
    spl375_54,
    inference(sat_conversion,[],[f15470]) ).

cnf(s61,plain,
    ( ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | spl375_17
    | ~ spl375_54
    | spl375_55
    | ~ spl375_56
    | ~ spl375_57
    | ~ spl375_58 ),
    inference(sat_conversion,[],[f15511]) ).

cnf(s62,plain,
    ( ~ spl375_6
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20
    | spl375_21
    | ~ spl375_59
    | ~ spl375_60
    | ~ spl375_61
    | spl375_62
    | ~ spl375_63 ),
    inference(sat_conversion,[],[f15540]) ).

cnf(s63,plain,
    spl375_61,
    inference(sat_conversion,[],[f15544]) ).

cnf(s65,plain,
    spl375_56,
    inference(sat_conversion,[],[f15674]) ).

cnf(s70,plain,
    spl375_57,
    inference(sat_conversion,[],[f15718]) ).

cnf(s78,plain,
    spl375_58,
    inference(sat_conversion,[],[f15891]) ).

cnf(s79,plain,
    ~ spl375_55,
    inference(sat_conversion,[],[f15896]) ).

cnf(s83,plain,
    spl375_59,
    inference(sat_conversion,[],[f16034]) ).

cnf(s87,plain,
    ~ spl375_62,
    inference(sat_conversion,[],[f16071]) ).

cnf(s88,plain,
    spl375_60,
    inference(sat_conversion,[],[f16078]) ).

cnf(s96,plain,
    spl375_63,
    inference(sat_conversion,[],[f16251]) ).

cnf(s98,plain,
    ~ spl375_21,
    inference(sat_conversion,[],[f16267]) ).

cnf(s100,plain,
    ~ spl375_17,
    inference(sat_conversion,[],[f16273]) ).

cnf(s116,plain,
    ( ~ spl375_6
    | ~ spl375_7
    | ~ spl375_8
    | ~ spl375_9
    | spl375_10
    | spl375_19
    | ~ spl375_20 ),
    inference(rat,[],[s62,s96,s87,s63,s88,s83,s98]) ).

cnf(s117,plain,
    ( ~ spl375_1
    | ~ spl375_2
    | ~ spl375_3
    | ~ spl375_4
    | spl375_5
    | spl375_15
    | ~ spl375_16
    | ~ spl375_54 ),
    inference(rat,[],[s61,s78,s70,s65,s79,s100]) ).

cnf(s148,plain,
    spl375_19,
    inference(rat,[],[s116,s11,s7,s18,s9,s8,s6]) ).

cnf(s149,plain,
    spl375_18,
    inference(rat,[],[s47,s6]) ).

cnf(s156,plain,
    spl375_15,
    inference(rat,[],[s117,s59,s10,s3,s45,s5,s4,s2]) ).

cnf(s157,plain,
    spl375_14,
    inference(rat,[],[s41,s2]) ).

cnf(s165,plain,
    $false,
    inference(rat,[],[s1,s31,s98,s11,s148,s149,s100,s10,s156,s157,s30,s24,s12,s18,s9,s8,s7,s6,s45,s5,s4,s3,s2]) ).

fof(f16274,plain,
    $false,
    inference(avatar_sat_refutation,[],[s165]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT377+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n017.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 15:05:22 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.20/2.69  % (2698714)Detected formulas, will run a generic FOF schedule.
% 12.20/2.69  % (2698725)dis-21_1_sil=8000:lcm=predicate:random_seed=421384097:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 12.20/2.69  % (2698720)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=3366375296:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 12.20/2.69  % (2698721)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=367718566:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 12.20/2.69  % (2698719)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=1535901878:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 12.20/2.69  % (2698723)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3437319974:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 12.20/2.69  % (2698725)Instruction limit reached! 
% 12.20/2.69  % (2698725)------------------------------
% 12.20/2.69  % (2698725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698725)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698725)Termination reason: Instruction limit
% 12.20/2.69  % (2698725)Termination phase: Preprocessing 1
% 12.20/2.69  % (2698725)Time elapsed: 0.089 s
% 12.20/2.69  % (2698725)Peak memory usage: 100 MB
% 12.20/2.69  % (2698725)Instructions burned: 129 (million)
% 12.20/2.69  % (2698722)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2549455162:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 12.20/2.69  % (2698724)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=561747294:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 12.20/2.69  % (2698723)Instruction limit reached! 
% 12.20/2.69  % (2698723)------------------------------
% 12.20/2.69  % (2698723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698723)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698723)Termination reason: Instruction limit
% 12.20/2.69  % (2698723)Termination phase: Preprocessing 3
% 12.20/2.69  % (2698723)Time elapsed: 0.149 s
% 12.20/2.69  % (2698723)Peak memory usage: 103 MB
% 12.20/2.69  % (2698723)Instructions burned: 119 (million)
% 12.20/2.69  % (2698722)Refutation not found, incomplete strategy
% 12.20/2.69  % (2698722)------------------------------
% 12.20/2.69  % (2698722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698722)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698722)Termination reason: Refutation not found, incomplete strategy
% 12.20/2.69  % (2698722)Time elapsed: 0.105 s
% 12.20/2.69  % (2698722)Peak memory usage: 104 MB
% 12.20/2.69  % (2698722)Instructions burned: 88 (million)
% 12.20/2.69  % (2698724)Instruction limit reached! 
% 12.20/2.69  % (2698724)------------------------------
% 12.20/2.69  % (2698724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698724)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698724)Termination reason: Instruction limit
% 12.20/2.69  % (2698724)Termination phase: Property scanning
% 12.20/2.69  % (2698724)Time elapsed: 0.114 s
% 12.20/2.69  % (2698724)Peak memory usage: 99 MB
% 12.20/2.69  % (2698724)Instructions burned: 139 (million)
% 12.20/2.69  % (2698754)lrs+10_1_sil=8000:sp=occurrence:random_seed=3175979307:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 12.20/2.69  % (2698754)Instruction limit reached! 
% 12.20/2.69  % (2698754)------------------------------
% 12.20/2.69  % (2698754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698754)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698754)Termination reason: Instruction limit
% 12.20/2.69  % (2698754)Termination phase: Saturation
% 12.20/2.69  % (2698754)Time elapsed: 0.158 s
% 12.20/2.69  % (2698754)Peak memory usage: 107 MB
% 12.20/2.69  % (2698754)Instructions burned: 286 (million)
% 12.20/2.69  % (2698756)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3062379664:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 12.20/2.69  % (2698758)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2832640013:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 12.20/2.69  % (2698722)------------------------------
% 12.20/2.69  % (2698722)------------------------------
% 12.20/2.69  % (2698756)Instruction limit reached! 
% 12.20/2.69  % (2698756)------------------------------
% 12.20/2.69  % (2698756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698756)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698756)Termination reason: Instruction limit
% 12.20/2.69  % (2698756)Termination phase: SInE selection
% 12.20/2.69  % (2698756)Time elapsed: 0.133 s
% 12.20/2.69  % (2698756)Peak memory usage: 99 MB
% 12.20/2.69  % (2698756)Instructions burned: 157 (million)
% 12.20/2.69  % (2698763)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=397540411:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 12.20/2.69  % (2698763)Instruction limit reached! 
% 12.20/2.69  % (2698763)------------------------------
% 12.20/2.69  % (2698763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698763)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698763)Termination reason: Instruction limit
% 12.20/2.69  % (2698763)Termination phase: Preprocessing 1
% 12.20/2.69  % (2698763)Time elapsed: 0.134 s
% 12.20/2.69  % (2698763)Peak memory usage: 100 MB
% 12.20/2.69  % (2698763)Instructions burned: 248 (million)
% 12.20/2.69  % (2698758)Instruction limit reached! 
% 12.20/2.69  % (2698758)------------------------------
% 12.20/2.69  % (2698758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698758)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698758)Termination reason: Instruction limit
% 12.20/2.69  % (2698758)Termination phase: Saturation
% 12.20/2.69  % (2698758)Time elapsed: 0.351 s
% 12.20/2.69  % (2698758)Peak memory usage: 106 MB
% 12.20/2.69  % (2698758)Instructions burned: 326 (million)
% 12.20/2.69  % (2698766)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1917529706:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 12.20/2.69  % (2698767)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1715472998:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 12.20/2.69  % (2698775)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3512700969:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 12.20/2.69  % (2698775)Instruction limit reached! 
% 12.20/2.69  % (2698775)------------------------------
% 12.20/2.69  % (2698775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698775)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698775)Termination reason: Instruction limit
% 12.20/2.69  % (2698775)Termination phase: Naming
% 12.20/2.69  % (2698775)Time elapsed: 0.088 s
% 12.20/2.69  % (2698775)Peak memory usage: 103 MB
% 12.20/2.69  % (2698775)Instructions burned: 114 (million)
% 12.20/2.69  % (2698776)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2598245767:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 12.20/2.69  % (2698766)First to succeed.
% 12.20/2.69  % (2698766)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2698714"
% 12.20/2.69  % (2698776)Instruction limit reached! 
% 12.20/2.69  % (2698776)------------------------------
% 12.20/2.69  % (2698776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698776)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698776)Termination reason: Instruction limit
% 12.20/2.69  % (2698776)Termination phase: Preprocessing 2
% 12.20/2.69  % (2698776)Time elapsed: 0.163 s
% 12.20/2.69  % (2698776)Peak memory usage: 107 MB
% 12.20/2.69  % (2698776)Instructions burned: 127 (million)
% 12.20/2.69  % (2698781)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3802747012:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 12.20/2.69  % (2698781)Instruction limit reached! 
% 12.20/2.69  % (2698781)------------------------------
% 12.20/2.69  % (2698781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.20/2.69  % (2698781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/2.69  % (2698781)CaDiCaL version: 2.1.3
% 12.20/2.69  % (2698781)Termination reason: Instruction limit
% 12.20/2.69  % (2698781)Termination phase: Property scanning
% 12.20/2.69  % (2698781)Time elapsed: 0.050 s
% 12.20/2.69  % (2698781)Peak memory usage: 99 MB
% 12.20/2.69  % (2698781)Instructions burned: 117 (million)
% 12.20/2.69  % (2698784)lrs+10_1_sil=8000:sp=occurrence:random_seed=3627248360:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 12.20/2.69  % (2698766)Refutation found. Thanks to Tanya!
% 12.20/2.69  % SZS status Theorem for theBenchmark
% 12.20/2.69  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.91  % (2698766)------------------------------
% 0.17/2.91  % (2698766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.91  % (2698766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.91  % (2698766)CaDiCaL version: 2.1.3
% 0.17/2.91  % (2698766)Termination reason: Refutation
% 0.17/2.91  % (2698766)Time elapsed: 0.309 s
% 0.17/2.91  % (2698766)Peak memory usage: 108 MB
% 0.17/2.91  % (2698766)Instructions burned: 301 (million)
% 0.17/2.91  % (2698766)------------------------------
% 0.17/2.91  % (2698766)------------------------------
% 0.17/2.91  % (2698714)Success in time 2.058 s
% 0.17/2.91  % Vampire exiting
%------------------------------------------------------------------------------