↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT377+3 : 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 34.07s 12.21s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  252 (  22 unt;  15 def)
%            Number of atoms       : 1337 (   6 equ)
%            Maximal formula atoms :   23 (   5 avg)
%            Number of connectives : 1795 ( 710   ~; 845   |; 193   &)
%                                         (  15 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   46 (  44 usr;  16 prp; 0-5 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-3 aty)
%            Number of variables   :  145 (   0 sgn 144   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f588,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ~ v1_xboole_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).

fof(f14281,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(f14298,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(f17070,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(f18796,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(f18896,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(f18897,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(f18898,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(f18900,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(f18901,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(f18902,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(f18903,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(f18930,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v3_yellow18(k4_waybel34(X0))
        & v4_yellow18(k4_waybel34(X0))
        & v1_yellow21(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).

fof(f18931,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v9_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow18(k5_waybel34(X0))
        & v3_yellow18(k5_waybel34(X0))
        & v4_yellow18(k5_waybel34(X0))
        & v1_yellow21(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).

fof(f18939,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(f18941,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(f18986,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k10_waybel34(X0))
        & v2_altcat_1(k10_waybel34(X0))
        & v6_altcat_1(k10_waybel34(X0))
        & v9_altcat_1(k10_waybel34(X0))
        & v11_altcat_1(k10_waybel34(X0))
        & v12_altcat_1(k10_waybel34(X0))
        & v1_altcat_2(k10_waybel34(X0))
        & v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v2_yellow18(k10_waybel34(X0))
        & v3_yellow18(k10_waybel34(X0))
        & v4_yellow18(k10_waybel34(X0))
        & v1_yellow21(k10_waybel34(X0))
        & v2_yellow21(k10_waybel34(X0))
        & v3_yellow21(k10_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_waybel34) ).

fof(f18994,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(f18995,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(f18996,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)],[f18995]) ).

fof(f19047,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,[],[f18896]) ).

fof(f19048,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,[],[f18897]) ).

fof(f19049,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,[],[f18898]) ).

fof(f19051,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,[],[f18900]) ).

fof(f19052,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,[],[f18901]) ).

fof(f19053,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,[],[f18902]) ).

fof(f19054,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,[],[f18903]) ).

fof(f19107,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v3_yellow18(k4_waybel34(X0))
        & v4_yellow18(k4_waybel34(X0))
        & v1_yellow21(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f18930]) ).

fof(f19108,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v9_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow18(k5_waybel34(X0))
        & v3_yellow18(k5_waybel34(X0))
        & v4_yellow18(k5_waybel34(X0))
        & v1_yellow21(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f18931]) ).

fof(f19120,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,[],[f18939]) ).

fof(f19122,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,[],[f18941]) ).

fof(f19201,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k10_waybel34(X0))
        & v2_altcat_1(k10_waybel34(X0))
        & v6_altcat_1(k10_waybel34(X0))
        & v9_altcat_1(k10_waybel34(X0))
        & v11_altcat_1(k10_waybel34(X0))
        & v12_altcat_1(k10_waybel34(X0))
        & v1_altcat_2(k10_waybel34(X0))
        & v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
        & v2_yellow18(k10_waybel34(X0))
        & v3_yellow18(k10_waybel34(X0))
        & v4_yellow18(k10_waybel34(X0))
        & v1_yellow21(k10_waybel34(X0))
        & v2_yellow21(k10_waybel34(X0))
        & v3_yellow21(k10_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f18986]) ).

fof(f19212,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,[],[f18994]) ).

fof(f19213,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,[],[f18996]) ).

fof(f19275,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f588]) ).

fof(f19283,plain,
    ! [X0] :
      ( ! [X1] :
          ( l2_altcat_1(X1)
          | ~ m1_altcat_2(X1,X0) )
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f14298]) ).

fof(f19290,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,[],[f14281]) ).

fof(f19291,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,[],[f19290]) ).

fof(f19295,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,[],[f17070]) ).

fof(f19296,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,[],[f19295]) ).

fof(f20475,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,[],[f18796]) ).

fof(f20476,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,[],[f20475]) ).

fof(f20592,plain,
    ( ~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58))
    & ~ v2_setfam_1(sK58) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X0,sK58)],[f19213]) ).

fof(f20971,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19047]) ).

fof(f20978,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19048]) ).

fof(f20985,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19049]) ).

fof(f20991,plain,
    ! [X0] :
      ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19051]) ).

fof(f20992,plain,
    ! [X0] :
      ( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19051]) ).

fof(f20994,plain,
    ! [X0] :
      ( v2_altcat_1(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19051]) ).

fof(f20995,plain,
    ! [X0] :
      ( ~ v3_struct_0(k8_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19051]) ).

fof(f20996,plain,
    ! [X0] :
      ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19052]) ).

fof(f20997,plain,
    ! [X0] :
      ( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19052]) ).

fof(f20999,plain,
    ! [X0] :
      ( v2_altcat_1(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19052]) ).

fof(f21000,plain,
    ! [X0] :
      ( ~ v3_struct_0(k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19052]) ).

fof(f21001,plain,
    ! [X0] :
      ( m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19053]) ).

fof(f21002,plain,
    ! [X0] :
      ( v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19053]) ).

fof(f21007,plain,
    ! [X0] :
      ( m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19054]) ).

fof(f21008,plain,
    ! [X0] :
      ( v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19054]) ).

fof(f21011,plain,
    ! [X0] :
      ( v2_altcat_1(k11_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19054]) ).

fof(f21012,plain,
    ! [X0] :
      ( ~ v3_struct_0(k11_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19054]) ).

fof(f21153,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19107]) ).

fof(f21154,plain,
    ! [X0] :
      ( v11_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19107]) ).

fof(f21157,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19107]) ).

fof(f21158,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19107]) ).

fof(f21166,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19108]) ).

fof(f21167,plain,
    ! [X0] :
      ( v11_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19108]) ).

fof(f21170,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19108]) ).

fof(f21171,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19108]) ).

fof(f21215,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19120]) ).

fof(f21216,plain,
    ! [X0] :
      ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19120]) ).

fof(f21232,plain,
    ! [X0] :
      ( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19122]) ).

fof(f21461,plain,
    ! [X0] :
      ( v2_altcat_1(k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19201]) ).

fof(f21462,plain,
    ! [X0] :
      ( ~ v3_struct_0(k10_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19201]) ).

fof(f21491,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,[],[f19212]) ).

fof(f21492,plain,
    ~ v2_setfam_1(sK58),
    inference(cnf_transformation,[],[f20592]) ).

fof(f21493,plain,
    ~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58)),
    inference(cnf_transformation,[],[f20592]) ).

fof(f21651,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19275]) ).

fof(f21662,plain,
    ! [X0,X1] :
      ( l2_altcat_1(X1)
      | ~ m1_altcat_2(X1,X0)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f19283]) ).

fof(f21666,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,[],[f19291]) ).

fof(f21671,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,[],[f19296]) ).

fof(f23558,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,[],[f20476]) ).

fof(f23934,definition,
    ( spl386_1
  <=> r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_1])],[avatar_definition]) ).

fof(f23936,plain,
    ( ~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58))
    | spl386_1 ),
    inference(avatar_component_clause,[],[f23934]) ).

fof(f23937,plain,
    ~ spl386_1,
    inference(avatar_split_clause,[],[f21493,f23934]) ).

fof(f23939,definition,
    ( spl386_2
  <=> v2_setfam_1(sK58) ),
    introduced(definition,[new_symbols(definition,[spl386_2])],[avatar_definition]) ).

fof(f23941,plain,
    ( ~ v2_setfam_1(sK58)
    | spl386_2 ),
    inference(avatar_component_clause,[],[f23939]) ).

fof(f23942,plain,
    ~ spl386_2,
    inference(avatar_split_clause,[],[f21492,f23939]) ).

fof(f24019,plain,
    ( m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f20985]) ).

fof(f24040,plain,
    ( v2_altcat_1(k11_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21011]) ).

fof(f24041,plain,
    ( ~ v3_struct_0(k11_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21012]) ).

fof(f24061,plain,
    ( v12_altcat_1(k4_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21153]) ).

fof(f24062,plain,
    ( v11_altcat_1(k4_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21154]) ).

fof(f24065,plain,
    ( v2_altcat_1(k4_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21157]) ).

fof(f24066,plain,
    ( ~ v3_struct_0(k4_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21158]) ).

fof(f24074,plain,
    ( v12_altcat_1(k5_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21166]) ).

fof(f24075,plain,
    ( v11_altcat_1(k5_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21167]) ).

fof(f24078,plain,
    ( v2_altcat_1(k5_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21170]) ).

fof(f24079,plain,
    ( ~ v3_struct_0(k5_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21171]) ).

fof(f24119,plain,
    ( v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21215]) ).

fof(f24120,plain,
    ( v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21216]) ).

fof(f24136,plain,
    ( k7_waybel34(sK58) = k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21232]) ).

fof(f24197,plain,
    ( v2_altcat_1(k10_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21461]) ).

fof(f24198,plain,
    ( ~ v3_struct_0(k10_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21462]) ).

fof(f24224,plain,
    ( r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k10_waybel34(sK58),k11_waybel34(sK58))
    | spl386_2 ),
    inference(resolution,[],[f23941,f21491]) ).

fof(f24232,plain,
    ( ~ v1_xboole_0(sK58)
    | spl386_2 ),
    inference(resolution,[],[f23941,f21651]) ).

fof(f24380,definition,
    ( spl386_3
  <=> r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k10_waybel34(sK58),k11_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_3])],[avatar_definition]) ).

fof(f24382,plain,
    ( r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k10_waybel34(sK58),k11_waybel34(sK58))
    | ~ spl386_3 ),
    inference(avatar_component_clause,[],[f24380]) ).

fof(f24383,plain,
    ( spl386_3
    | spl386_2 ),
    inference(avatar_split_clause,[],[f24224,f23939,f24380]) ).

fof(f24385,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | v3_struct_0(k11_waybel34(sK58))
    | ~ v2_altcat_1(k11_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k10_waybel34(sK58))
    | ~ v2_altcat_1(k10_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k5_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | ~ spl386_3 ),
    inference(resolution,[],[f24382,f23558]) ).

fof(f24452,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v2_altcat_1(k11_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k10_waybel34(sK58))
    | ~ v2_altcat_1(k10_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k5_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24385,f24041]) ).

fof(f24470,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k10_waybel34(sK58))
    | ~ v2_altcat_1(k10_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k5_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24452,f24040]) ).

fof(f24483,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v2_altcat_1(k10_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k5_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24470,f24198]) ).

fof(f24494,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k5_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24483,f24197]) ).

fof(f24505,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k5_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24494,f24119]) ).

fof(f24516,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
    | v3_struct_0(k5_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24505,f24120]) ).

fof(f24527,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | v3_struct_0(k5_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24516,f24019]) ).

fof(f24538,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24527,f24079]) ).

fof(f24549,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v11_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24538,f24078]) ).

fof(f24560,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ v12_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24549,f24075]) ).

fof(f24571,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | v3_struct_0(k4_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24560,f24074]) ).

fof(f24582,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | ~ v2_altcat_1(k4_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24571,f24066]) ).

fof(f24593,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | ~ v11_altcat_1(k4_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24582,f24065]) ).

fof(f24604,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | ~ v12_altcat_1(k4_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24593,f24062]) ).

fof(f24607,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24604,f24061]) ).

fof(f24608,plain,
    ( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58))
    | ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_demodulation,[],[f24607,f24136]) ).

fof(f24609,plain,
    ( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_1
    | spl386_2
    | ~ spl386_3 ),
    inference(forward_subsumption_resolution,[],[f24608,f23936]) ).

fof(f24611,definition,
    ( spl386_4
  <=> l2_altcat_1(k4_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_4])],[avatar_definition]) ).

fof(f24612,plain,
    ( l2_altcat_1(k4_waybel34(sK58))
    | ~ spl386_4 ),
    inference(avatar_component_clause,[],[f24611]) ).

fof(f24613,plain,
    ( ~ l2_altcat_1(k4_waybel34(sK58))
    | spl386_4 ),
    inference(avatar_component_clause,[],[f24611]) ).

fof(f24615,definition,
    ( spl386_5
  <=> l2_altcat_1(k5_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_5])],[avatar_definition]) ).

fof(f24616,plain,
    ( l2_altcat_1(k5_waybel34(sK58))
    | ~ spl386_5 ),
    inference(avatar_component_clause,[],[f24615]) ).

fof(f24617,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK58))
    | spl386_5 ),
    inference(avatar_component_clause,[],[f24615]) ).

fof(f24639,definition,
    ( spl386_11
  <=> v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_11])],[avatar_definition]) ).

fof(f24640,plain,
    ( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | spl386_11 ),
    inference(avatar_component_clause,[],[f24639]) ).

fof(f24644,definition,
    ( spl386_12
  <=> v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_12])],[avatar_definition]) ).

fof(f24645,plain,
    ( ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | spl386_12 ),
    inference(avatar_component_clause,[],[f24644]) ).

fof(f24648,plain,
    ( v1_xboole_0(sK58)
    | spl386_4 ),
    inference(resolution,[],[f24613,f20971]) ).

fof(f24666,plain,
    ( $false
    | spl386_2
    | spl386_4 ),
    inference(forward_subsumption_resolution,[],[f24648,f24232]) ).

fof(f24667,plain,
    ( spl386_2
    | spl386_4 ),
    inference(avatar_contradiction_clause,[],[f24666]) ).

fof(f24680,plain,
    ( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ l2_altcat_1(k5_waybel34(sK58))
    | spl386_1
    | spl386_2
    | ~ spl386_3
    | ~ spl386_4 ),
    inference(backward_subsumption_resolution,[],[f24609,f24612]) ).

fof(f24681,plain,
    ( v1_xboole_0(sK58)
    | spl386_5 ),
    inference(resolution,[],[f24617,f20978]) ).

fof(f24699,plain,
    ( $false
    | spl386_2
    | spl386_5 ),
    inference(forward_subsumption_resolution,[],[f24681,f24232]) ).

fof(f24700,plain,
    ( spl386_2
    | spl386_5 ),
    inference(avatar_contradiction_clause,[],[f24699]) ).

fof(f24705,plain,
    ( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | spl386_1
    | spl386_2
    | ~ spl386_3
    | ~ spl386_4
    | ~ spl386_5 ),
    inference(forward_subsumption_resolution,[],[f24680,f24616]) ).

fof(f29567,definition,
    ( spl386_37
  <=> m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_37])],[avatar_definition]) ).

fof(f29568,plain,
    ( ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | spl386_37 ),
    inference(avatar_component_clause,[],[f29567]) ).

fof(f29569,plain,
    ( m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | ~ spl386_37 ),
    inference(avatar_component_clause,[],[f29567]) ).

fof(f32473,definition,
    ( spl386_80
  <=> m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_80])],[avatar_definition]) ).

fof(f32475,plain,
    ( ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
    | spl386_80 ),
    inference(avatar_component_clause,[],[f32473]) ).

fof(f32477,definition,
    ( spl386_81
  <=> m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl386_81])],[avatar_definition]) ).

fof(f32479,plain,
    ( ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
    | spl386_81 ),
    inference(avatar_component_clause,[],[f32477]) ).

fof(f32480,plain,
    ( ~ spl386_80
    | ~ spl386_12
    | ~ spl386_81
    | ~ spl386_11
    | spl386_1
    | spl386_2
    | ~ spl386_3
    | ~ spl386_4
    | ~ spl386_5 ),
    inference(avatar_split_clause,[],[f24705,f24615,f24611,f24380,f23939,f23934,f24639,f32477,f24644,f32473]) ).

fof(f32484,plain,
    ( ! [X0] :
        ( v3_struct_0(k11_waybel34(sK58))
        | ~ v2_altcat_1(k11_waybel34(sK58))
        | ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | v3_struct_0(k5_waybel34(sK58))
        | ~ v2_altcat_1(k5_waybel34(sK58))
        | ~ v11_altcat_1(k5_waybel34(sK58))
        | ~ v12_altcat_1(k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58)) )
    | spl386_11 ),
    inference(resolution,[],[f24640,f21671]) ).

fof(f32499,plain,
    ( ! [X0] :
        ( ~ v2_altcat_1(k11_waybel34(sK58))
        | ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | v3_struct_0(k5_waybel34(sK58))
        | ~ v2_altcat_1(k5_waybel34(sK58))
        | ~ v11_altcat_1(k5_waybel34(sK58))
        | ~ v12_altcat_1(k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58)) )
    | spl386_2
    | spl386_11 ),
    inference(forward_subsumption_resolution,[],[f32484,f24041]) ).

fof(f32506,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | v3_struct_0(k5_waybel34(sK58))
        | ~ v2_altcat_1(k5_waybel34(sK58))
        | ~ v11_altcat_1(k5_waybel34(sK58))
        | ~ v12_altcat_1(k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58)) )
    | spl386_2
    | spl386_11 ),
    inference(forward_subsumption_resolution,[],[f32499,f24040]) ).

fof(f32510,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | ~ v2_altcat_1(k5_waybel34(sK58))
        | ~ v11_altcat_1(k5_waybel34(sK58))
        | ~ v12_altcat_1(k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58)) )
    | spl386_2
    | spl386_11 ),
    inference(forward_subsumption_resolution,[],[f32506,f24079]) ).

fof(f32514,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | ~ v11_altcat_1(k5_waybel34(sK58))
        | ~ v12_altcat_1(k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58)) )
    | spl386_2
    | spl386_11 ),
    inference(forward_subsumption_resolution,[],[f32510,f24078]) ).

fof(f32517,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | ~ v12_altcat_1(k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58)) )
    | spl386_2
    | spl386_11 ),
    inference(forward_subsumption_resolution,[],[f32514,f24075]) ).

fof(f32520,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58)) )
    | spl386_2
    | spl386_11 ),
    inference(forward_subsumption_resolution,[],[f32517,f24074]) ).

fof(f32523,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58)) )
    | spl386_2
    | ~ spl386_5
    | spl386_11 ),
    inference(forward_subsumption_resolution,[],[f32520,f24616]) ).

fof(f32527,definition,
    ( spl386_82
  <=> ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58)) ) ),
    introduced(definition,[new_symbols(definition,[spl386_82])],[avatar_definition]) ).

fof(f32528,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k5_waybel34(sK58))
        | ~ m1_altcat_2(X0,k5_waybel34(sK58)) )
    | ~ spl386_82 ),
    inference(avatar_component_clause,[],[f32527]) ).

fof(f32529,plain,
    ( spl386_82
    | spl386_2
    | ~ spl386_5
    | spl386_11 ),
    inference(avatar_split_clause,[],[f32523,f24639,f24615,f23939,f32527]) ).

fof(f32537,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58))
        | ~ l2_altcat_1(X0)
        | ~ l2_altcat_1(k11_waybel34(sK58)) )
    | spl386_81 ),
    inference(resolution,[],[f32479,f21666]) ).

fof(f32552,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58))
        | ~ l2_altcat_1(X0) )
    | spl386_81 ),
    inference(forward_subsumption_resolution,[],[f32537,f21662]) ).

fof(f32559,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK58))
        | ~ l2_altcat_1(k5_waybel34(sK58)) )
    | spl386_81 ),
    inference(forward_subsumption_resolution,[],[f32552,f21662]) ).

fof(f32563,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK58)) )
    | ~ spl386_5
    | spl386_81 ),
    inference(forward_subsumption_resolution,[],[f32559,f24616]) ).

fof(f32576,definition,
    ( spl386_83
  <=> ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK58)) ) ),
    introduced(definition,[new_symbols(definition,[spl386_83])],[avatar_definition]) ).

fof(f32577,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k11_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k5_waybel34(sK58)) )
    | ~ spl386_83 ),
    inference(avatar_component_clause,[],[f32576]) ).

fof(f32578,plain,
    ( spl386_83
    | ~ spl386_5
    | spl386_81 ),
    inference(avatar_split_clause,[],[f32563,f32477,f24615,f32576]) ).

fof(f32582,plain,
    ( ! [X0] :
        ( v3_struct_0(k10_waybel34(sK58))
        | ~ v2_altcat_1(k10_waybel34(sK58))
        | ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | v3_struct_0(k4_waybel34(sK58))
        | ~ v2_altcat_1(k4_waybel34(sK58))
        | ~ v11_altcat_1(k4_waybel34(sK58))
        | ~ v12_altcat_1(k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58)) )
    | spl386_12 ),
    inference(resolution,[],[f24645,f21671]) ).

fof(f32597,plain,
    ( ! [X0] :
        ( ~ v2_altcat_1(k10_waybel34(sK58))
        | ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | v3_struct_0(k4_waybel34(sK58))
        | ~ v2_altcat_1(k4_waybel34(sK58))
        | ~ v11_altcat_1(k4_waybel34(sK58))
        | ~ v12_altcat_1(k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58)) )
    | spl386_2
    | spl386_12 ),
    inference(forward_subsumption_resolution,[],[f32582,f24198]) ).

fof(f32604,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | v3_struct_0(k4_waybel34(sK58))
        | ~ v2_altcat_1(k4_waybel34(sK58))
        | ~ v11_altcat_1(k4_waybel34(sK58))
        | ~ v12_altcat_1(k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58)) )
    | spl386_2
    | spl386_12 ),
    inference(forward_subsumption_resolution,[],[f32597,f24197]) ).

fof(f32608,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | ~ v2_altcat_1(k4_waybel34(sK58))
        | ~ v11_altcat_1(k4_waybel34(sK58))
        | ~ v12_altcat_1(k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58)) )
    | spl386_2
    | spl386_12 ),
    inference(forward_subsumption_resolution,[],[f32604,f24066]) ).

fof(f32612,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | ~ v11_altcat_1(k4_waybel34(sK58))
        | ~ v12_altcat_1(k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58)) )
    | spl386_2
    | spl386_12 ),
    inference(forward_subsumption_resolution,[],[f32608,f24065]) ).

fof(f32616,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | ~ v12_altcat_1(k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58)) )
    | spl386_2
    | spl386_12 ),
    inference(forward_subsumption_resolution,[],[f32612,f24062]) ).

fof(f32619,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58)) )
    | spl386_2
    | spl386_12 ),
    inference(forward_subsumption_resolution,[],[f32616,f24061]) ).

fof(f32622,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58)) )
    | spl386_2
    | ~ spl386_4
    | spl386_12 ),
    inference(forward_subsumption_resolution,[],[f32619,f24612]) ).

fof(f32630,definition,
    ( spl386_84
  <=> ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58)) ) ),
    introduced(definition,[new_symbols(definition,[spl386_84])],[avatar_definition]) ).

fof(f32631,plain,
    ( ! [X0] :
        ( ~ v3_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | v3_struct_0(X0)
        | ~ v2_altcat_1(X0)
        | ~ v3_altcat_2(X0,k4_waybel34(sK58))
        | ~ m1_altcat_2(X0,k4_waybel34(sK58)) )
    | ~ spl386_84 ),
    inference(avatar_component_clause,[],[f32630]) ).

fof(f32632,plain,
    ( spl386_84
    | spl386_2
    | ~ spl386_4
    | spl386_12 ),
    inference(avatar_split_clause,[],[f32622,f24644,f24611,f23939,f32630]) ).

fof(f32636,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58))
        | ~ l2_altcat_1(X0)
        | ~ l2_altcat_1(k10_waybel34(sK58)) )
    | spl386_80 ),
    inference(resolution,[],[f32475,f21666]) ).

fof(f32651,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58))
        | ~ l2_altcat_1(X0) )
    | spl386_80 ),
    inference(forward_subsumption_resolution,[],[f32636,f21662]) ).

fof(f32658,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK58))
        | ~ l2_altcat_1(k4_waybel34(sK58)) )
    | spl386_80 ),
    inference(forward_subsumption_resolution,[],[f32651,f21662]) ).

fof(f32662,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK58)) )
    | ~ spl386_4
    | spl386_80 ),
    inference(forward_subsumption_resolution,[],[f32658,f24612]) ).

fof(f32679,definition,
    ( spl386_85
  <=> ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK58)) ) ),
    introduced(definition,[new_symbols(definition,[spl386_85])],[avatar_definition]) ).

fof(f32680,plain,
    ( ! [X0] :
        ( ~ m1_altcat_2(k10_waybel34(sK58),X0)
        | ~ m1_altcat_2(X0,k4_waybel34(sK58)) )
    | ~ spl386_85 ),
    inference(avatar_component_clause,[],[f32679]) ).

fof(f32681,plain,
    ( spl386_85
    | ~ spl386_4
    | spl386_80 ),
    inference(avatar_split_clause,[],[f32662,f32473,f24611,f32679]) ).

fof(f32720,plain,
    ( ~ m1_altcat_2(k11_waybel34(sK58),k9_waybel34(sK58))
    | v3_struct_0(k9_waybel34(sK58))
    | ~ v2_altcat_1(k9_waybel34(sK58))
    | ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_82 ),
    inference(resolution,[],[f32528,f21008]) ).

fof(f32736,plain,
    ( v3_struct_0(k9_waybel34(sK58))
    | ~ v2_altcat_1(k9_waybel34(sK58))
    | ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_82 ),
    inference(forward_subsumption_resolution,[],[f32720,f21007]) ).

fof(f32741,plain,
    ( ~ v2_altcat_1(k9_waybel34(sK58))
    | ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_82 ),
    inference(forward_subsumption_resolution,[],[f32736,f21000]) ).

fof(f32745,plain,
    ( ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_82 ),
    inference(forward_subsumption_resolution,[],[f32741,f20999]) ).

fof(f32749,plain,
    ( ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_82 ),
    inference(forward_subsumption_resolution,[],[f32745,f20997]) ).

fof(f32753,plain,
    ( v2_setfam_1(sK58)
    | ~ spl386_82 ),
    inference(forward_subsumption_resolution,[],[f32749,f20996]) ).

fof(f32757,plain,
    ( $false
    | spl386_2
    | ~ spl386_82 ),
    inference(forward_subsumption_resolution,[],[f32753,f23941]) ).

fof(f32758,plain,
    ( spl386_2
    | ~ spl386_82 ),
    inference(avatar_contradiction_clause,[],[f32757]) ).

fof(f32796,plain,
    ( ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_83 ),
    inference(resolution,[],[f32577,f21007]) ).

fof(f32810,plain,
    ( v2_setfam_1(sK58)
    | ~ spl386_83 ),
    inference(forward_subsumption_resolution,[],[f32796,f20996]) ).

fof(f32815,plain,
    ( $false
    | spl386_2
    | ~ spl386_83 ),
    inference(forward_subsumption_resolution,[],[f32810,f23941]) ).

fof(f32816,plain,
    ( spl386_2
    | ~ spl386_83 ),
    inference(avatar_contradiction_clause,[],[f32815]) ).

fof(f32867,plain,
    ( ~ m1_altcat_2(k10_waybel34(sK58),k8_waybel34(sK58))
    | v3_struct_0(k8_waybel34(sK58))
    | ~ v2_altcat_1(k8_waybel34(sK58))
    | ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_84 ),
    inference(resolution,[],[f32631,f21002]) ).

fof(f32883,plain,
    ( v3_struct_0(k8_waybel34(sK58))
    | ~ v2_altcat_1(k8_waybel34(sK58))
    | ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_84 ),
    inference(forward_subsumption_resolution,[],[f32867,f21001]) ).

fof(f32889,plain,
    ( v3_struct_0(k8_waybel34(sK58))
    | ~ v2_altcat_1(k8_waybel34(sK58))
    | ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_84 ),
    inference(forward_subsumption_resolution,[],[f32883,f23941]) ).

fof(f38254,plain,
    ( ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | v2_setfam_1(sK58)
    | ~ spl386_85 ),
    inference(resolution,[],[f32680,f21001]) ).

fof(f38268,plain,
    ( ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_85 ),
    inference(forward_subsumption_resolution,[],[f38254,f23941]) ).

fof(f54443,definition,
    ( spl386_219
  <=> v1_xboole_0(sK58) ),
    introduced(definition,[new_symbols(definition,[spl386_219])],[avatar_definition]) ).

fof(f54445,plain,
    ( ~ v1_xboole_0(sK58)
    | spl386_219 ),
    inference(avatar_component_clause,[],[f54443]) ).

fof(f54446,plain,
    ( ~ spl386_219
    | spl386_2 ),
    inference(avatar_split_clause,[],[f24232,f23939,f54443]) ).

fof(f66712,plain,
    ( ~ spl386_37
    | spl386_2
    | ~ spl386_85 ),
    inference(avatar_split_clause,[],[f38268,f32679,f23939,f29567]) ).

fof(f66713,plain,
    ( v1_xboole_0(sK58)
    | spl386_37 ),
    inference(resolution,[],[f29568,f20991]) ).

fof(f66782,plain,
    ( $false
    | spl386_37
    | spl386_219 ),
    inference(forward_subsumption_resolution,[],[f66713,f54445]) ).

fof(f66783,plain,
    ( spl386_37
    | spl386_219 ),
    inference(avatar_contradiction_clause,[],[f66782]) ).

fof(f66812,plain,
    ( v3_struct_0(k8_waybel34(sK58))
    | ~ v2_altcat_1(k8_waybel34(sK58))
    | ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_37
    | ~ spl386_84 ),
    inference(backward_subsumption_resolution,[],[f32889,f29569]) ).

fof(f78836,plain,
    ( v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | spl386_219 ),
    inference(resolution,[],[f54445,f20992]) ).

fof(f78838,plain,
    ( v2_altcat_1(k8_waybel34(sK58))
    | spl386_219 ),
    inference(resolution,[],[f54445,f20994]) ).

fof(f78839,plain,
    ( ~ v3_struct_0(k8_waybel34(sK58))
    | spl386_219 ),
    inference(resolution,[],[f54445,f20995]) ).

fof(f79123,plain,
    ( ~ v2_altcat_1(k8_waybel34(sK58))
    | ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_37
    | ~ spl386_84
    | spl386_219 ),
    inference(backward_subsumption_resolution,[],[f66812,f78839]) ).

fof(f79160,plain,
    ( ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
    | spl386_2
    | ~ spl386_37
    | ~ spl386_84
    | spl386_219 ),
    inference(forward_subsumption_resolution,[],[f79123,f78838]) ).

fof(f79179,plain,
    ( $false
    | spl386_2
    | ~ spl386_37
    | ~ spl386_84
    | spl386_219 ),
    inference(forward_subsumption_resolution,[],[f79160,f78836]) ).

fof(f79180,plain,
    ( spl386_2
    | ~ spl386_37
    | ~ spl386_84
    | spl386_219 ),
    inference(avatar_contradiction_clause,[],[f79179]) ).

cnf(s1,plain,
    ~ spl386_1,
    inference(sat_conversion,[],[f23937]) ).

cnf(s2,plain,
    ~ spl386_2,
    inference(sat_conversion,[],[f23942]) ).

cnf(s3,plain,
    ( spl386_2
    | spl386_3 ),
    inference(sat_conversion,[],[f24383]) ).

cnf(s6,plain,
    ( spl386_2
    | spl386_4 ),
    inference(sat_conversion,[],[f24667]) ).

cnf(s7,plain,
    ( spl386_2
    | spl386_5 ),
    inference(sat_conversion,[],[f24700]) ).

cnf(s66,plain,
    ( spl386_1
    | spl386_2
    | ~ spl386_3
    | ~ spl386_4
    | ~ spl386_5
    | ~ spl386_11
    | ~ spl386_12
    | ~ spl386_80
    | ~ spl386_81 ),
    inference(sat_conversion,[],[f32480]) ).

cnf(s67,plain,
    ( spl386_2
    | ~ spl386_5
    | spl386_11
    | spl386_82 ),
    inference(sat_conversion,[],[f32529]) ).

cnf(s68,plain,
    ( ~ spl386_5
    | spl386_81
    | spl386_83 ),
    inference(sat_conversion,[],[f32578]) ).

cnf(s69,plain,
    ( spl386_2
    | ~ spl386_4
    | spl386_12
    | spl386_84 ),
    inference(sat_conversion,[],[f32632]) ).

cnf(s70,plain,
    ( ~ spl386_4
    | spl386_80
    | spl386_85 ),
    inference(sat_conversion,[],[f32681]) ).

cnf(s71,plain,
    ( spl386_2
    | ~ spl386_82 ),
    inference(sat_conversion,[],[f32758]) ).

cnf(s72,plain,
    ( spl386_2
    | ~ spl386_83 ),
    inference(sat_conversion,[],[f32816]) ).

cnf(s210,plain,
    ( spl386_2
    | ~ spl386_219 ),
    inference(sat_conversion,[],[f54446]) ).

cnf(s248,plain,
    ( spl386_2
    | ~ spl386_37
    | ~ spl386_85 ),
    inference(sat_conversion,[],[f66712]) ).

cnf(s249,plain,
    ( spl386_37
    | spl386_219 ),
    inference(sat_conversion,[],[f66783]) ).

cnf(s317,plain,
    ( spl386_2
    | ~ spl386_37
    | ~ spl386_84
    | spl386_219 ),
    inference(sat_conversion,[],[f79180]) ).

cnf(s332,plain,
    ~ spl386_219,
    inference(rat,[],[s210,s2]) ).

cnf(s357,plain,
    ~ spl386_83,
    inference(rat,[],[s72,s2]) ).

cnf(s358,plain,
    ~ spl386_82,
    inference(rat,[],[s71,s2]) ).

cnf(s376,plain,
    spl386_5,
    inference(rat,[],[s7,s2]) ).

cnf(s377,plain,
    spl386_4,
    inference(rat,[],[s6,s2]) ).

cnf(s378,plain,
    spl386_3,
    inference(rat,[],[s3,s2]) ).

cnf(s379,plain,
    spl386_37,
    inference(rat,[],[s249,s332]) ).

cnf(s416,plain,
    spl386_81,
    inference(rat,[],[s68,s357,s376]) ).

cnf(s417,plain,
    spl386_11,
    inference(rat,[],[s67,s358,s2,s376]) ).

cnf(s483,plain,
    ~ spl386_84,
    inference(rat,[],[s317,s332,s2,s379]) ).

cnf(s484,plain,
    ~ spl386_85,
    inference(rat,[],[s248,s2,s379]) ).

cnf(s537,plain,
    spl386_12,
    inference(rat,[],[s69,s377,s2,s483]) ).

cnf(s538,plain,
    spl386_80,
    inference(rat,[],[s70,s377,s484]) ).

cnf(s588,plain,
    spl386_1,
    inference(rat,[],[s66,s416,s538,s378,s417,s376,s377,s2,s537]) ).

cnf(s612,plain,
    $false,
    inference(rat,[],[s1,s588]) ).

fof(f79218,plain,
    $false,
    inference(avatar_sat_refutation,[],[s612]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT377+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41  % Computer : n017.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Sun Sep 27 15:05:38 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48  Running first-order theorem proving
% 0.23/0.48  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
% 25.90/5.93  % (2700412)Detected formulas, will run a generic FOF schedule.
% 25.90/5.93  % (2700419)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=4199181825:i=141695:sd=1:nm=32:gsp=on:ss=included_2986 on theBenchmark for (2986ds/141695Mi)
% 25.90/5.93  % (2700423)dis-21_1_sil=8000:lcm=predicate:random_seed=3300138600:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2986 on theBenchmark for (2986ds/129Mi)
% 25.90/5.93  % (2700417)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=93468880:i=141193_2986 on theBenchmark for (2986ds/141193Mi)
% 25.90/5.93  % (2700420)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1125220482:i=109:sd=1:ins=1:gsp=on:ss=axioms_2986 on theBenchmark for (2986ds/109Mi)
% 25.90/5.93  % (2700418)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=2233713454:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2986 on theBenchmark for (2986ds/134677Mi)
% 25.90/5.93  % (2700423)Instruction limit reached! 
% 25.90/5.93  % (2700423)------------------------------
% 25.90/5.93  % (2700423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.90/5.93  % (2700423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/5.93  % (2700423)CaDiCaL version: 2.1.3
% 25.90/5.93  % (2700423)Termination reason: Instruction limit
% 25.90/5.93  % (2700423)Termination phase: SInE selection
% 25.90/5.93  % (2700423)Time elapsed: 0.077 s
% 25.90/5.93  % (2700423)Peak memory usage: 112 MB
% 25.90/5.93  % (2700423)Instructions burned: 131 (million)
% 25.90/5.93  % (2700422)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=978247433:s2a=on:i=139:gtg=position_2986 on theBenchmark for (2986ds/139Mi)
% 25.90/5.93  % (2700421)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3760137977:i=119:av=off:ss=axioms_2986 on theBenchmark for (2986ds/119Mi)
% 25.90/5.93  % (2700422)Instruction limit reached! 
% 25.90/5.93  % (2700422)------------------------------
% 25.90/5.93  % (2700422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.90/5.93  % (2700422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/5.93  % (2700422)CaDiCaL version: 2.1.3
% 25.90/5.93  % (2700422)Termination reason: Instruction limit
% 25.90/5.93  % (2700422)Termination phase: Property scanning
% 25.90/5.93  % (2700422)Time elapsed: 0.110 s
% 25.90/5.93  % (2700422)Peak memory usage: 112 MB
% 25.90/5.93  % (2700422)Instructions burned: 140 (million)
% 25.90/5.93  % (2700420)Instruction limit reached! 
% 25.90/5.93  % (2700420)------------------------------
% 25.90/5.93  % (2700420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.90/5.93  % (2700420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/5.93  % (2700420)CaDiCaL version: 2.1.3
% 25.90/5.93  % (2700420)Termination reason: Instruction limit
% 25.90/5.93  % (2700420)Termination phase: SInE selection
% 25.90/5.93  % (2700420)Time elapsed: 0.130 s
% 25.90/5.93  % (2700420)Peak memory usage: 112 MB
% 25.90/5.93  % (2700420)Instructions burned: 109 (million)
% 25.90/5.93  % (2700421)Instruction limit reached! 
% 25.90/5.93  % (2700421)------------------------------
% 25.90/5.93  % (2700421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.90/5.93  % (2700421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/5.93  % (2700421)CaDiCaL version: 2.1.3
% 25.90/5.93  % (2700421)Termination reason: Instruction limit
% 25.90/5.93  % (2700421)Termination phase: SInE selection
% 25.90/5.93  % (2700421)Time elapsed: 0.140 s
% 25.90/5.93  % (2700421)Peak memory usage: 112 MB
% 25.90/5.93  % (2700421)Instructions burned: 119 (million)
% 25.90/5.93  % (2700431)lrs+10_1_sil=8000:sp=occurrence:random_seed=2677718669:i=285:sd=3:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/285Mi)
% 25.90/5.93  % (2700434)lrs+10_1_sil=32000:urr=on:br=off:random_seed=463275584:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/157Mi)
% 25.90/5.93  % (2700436)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=1162835743:s2a=on:i=248:s2at=1.23:gtg=position_2981 on theBenchmark for (2981ds/248Mi)
% 25.90/5.93  % (2700434)Instruction limit reached! 
% 25.90/5.93  % (2700434)------------------------------
% 25.90/5.93  % (2700434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.44/7.59  % (2700434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.44/7.59  % (2700434)CaDiCaL version: 2.1.3
% 37.44/7.59  % (2700434)Termination reason: Instruction limit
% 37.44/7.59  % (2700434)Termination phase: Property scanning
% 37.44/7.59  % (2700434)Time elapsed: 0.071 s
% 37.44/7.59  % (2700434)Peak memory usage: 112 MB
% 37.44/7.59  % (2700434)Instructions burned: 159 (million)
% 37.44/7.59  % (2700435)lrs+1011_1_sil=32000:sp=occurrence:random_seed=382181965:i=325:sd=1:ss=axioms:sgt=32_2981 on theBenchmark for (2981ds/325Mi)
% 37.44/7.59  % (2700431)Instruction limit reached! 
% 37.44/7.59  % (2700431)------------------------------
% 37.44/7.59  % (2700431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.44/7.59  % (2700431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.44/7.59  % (2700431)CaDiCaL version: 2.1.3
% 37.44/7.59  % (2700431)Termination reason: Instruction limit
% 37.44/7.59  % (2700431)Termination phase: Saturation
% 37.44/7.59  % (2700431)Time elapsed: 0.317 s
% 37.44/7.59  % (2700431)Peak memory usage: 119 MB
% 37.44/7.59  % (2700431)Instructions burned: 286 (million)
% 37.44/7.59  % (2700436)Instruction limit reached! 
% 37.44/7.59  % (2700436)------------------------------
% 37.44/7.59  % (2700436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.44/7.59  % (2700436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.44/7.59  % (2700436)CaDiCaL version: 2.1.3
% 37.44/7.59  % (2700436)Termination reason: Instruction limit
% 37.44/7.59  % (2700436)Termination phase: Property scanning
% 37.44/7.59  % (2700436)Time elapsed: 0.205 s
% 37.44/7.59  % (2700436)Peak memory usage: 112 MB
% 37.44/7.59  % (2700436)Instructions burned: 249 (million)
% 37.44/7.59  % (2700440)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1795387263:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2979 on theBenchmark for (2979ds/294Mi)
% 37.44/7.59  % (2700440)Instruction limit reached! 
% 37.44/7.59  % (2700440)------------------------------
% 37.44/7.59  % (2700440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.44/7.59  % (2700440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.44/7.59  % (2700440)CaDiCaL version: 2.1.3
% 37.44/7.59  % (2700440)Termination reason: Instruction limit
% 37.44/7.59  % (2700440)Termination phase: Saturation
% 37.44/7.59  % (2700440)Time elapsed: 0.171 s
% 37.44/7.59  % (2700440)Peak memory usage: 119 MB
% 37.44/7.59  % (2700440)Instructions burned: 294 (million)
% 37.44/7.59  % (2700435)Instruction limit reached! 
% 37.44/7.59  % (2700435)------------------------------
% 37.44/7.59  % (2700435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.44/7.59  % (2700435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.44/7.59  % (2700435)CaDiCaL version: 2.1.3
% 37.44/7.59  % (2700435)Termination reason: Instruction limit
% 37.44/7.59  % (2700435)Termination phase: Saturation
% 37.44/7.59  % (2700435)Time elapsed: 0.364 s
% 37.44/7.59  % (2700435)Peak memory usage: 119 MB
% 37.44/7.59  % (2700435)Instructions burned: 326 (million)
% 37.44/7.59  % (2700442)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=920911481:i=2350_2977 on theBenchmark for (2977ds/2350Mi)
% 37.44/7.59  % (2700443)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3039694417:cts=off:i=113:fsr=off:ss=included:sgt=4_2977 on theBenchmark for (2977ds/113Mi)
% 37.44/7.59  % (2700445)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1488852346:i=127:av=off:fsr=off:sup=off_2975 on theBenchmark for (2975ds/127Mi)
% 37.44/7.59  % (2700443)Instruction limit reached! 
% 37.44/7.59  % (2700443)------------------------------
% 37.44/7.59  % (2700443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.44/7.59  % (2700443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.44/7.59  % (2700443)CaDiCaL version: 2.1.3
% 37.44/7.59  % (2700443)Termination reason: Instruction limit
% 37.44/7.59  % (2700443)Termination phase: SInE selection
% 37.44/7.59  % (2700443)Time elapsed: 0.139 s
% 37.44/7.59  % (2700443)Peak memory usage: 112 MB
% 37.44/7.59  % (2700443)Instructions burned: 113 (million)
% 37.44/7.59  % (2700445)Instruction limit reached! 
% 37.44/7.59  % (2700445)------------------------------
% 37.44/7.59  % (2700445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.44/7.59  % (2700445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.44/7.59  % (2700445)CaDiCaL version: 2.1.3
% 37.44/7.59  % (2700445)Termination reason: Instruction limit
% 34.07/12.21  % (2700445)Termination phase: Preprocessing 1
% 34.07/12.21  % (2700445)Time elapsed: 0.085 s
% 34.07/12.21  % (2700445)Peak memory usage: 113 MB
% 34.07/12.21  % (2700445)Instructions burned: 128 (million)
% 34.07/12.21  % (2700446)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3094994649:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2975 on theBenchmark for (2975ds/114Mi)
% 34.07/12.21  % (2700446)Instruction limit reached! 
% 34.07/12.21  % (2700446)------------------------------
% 34.07/12.21  % (2700446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700446)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700446)Termination reason: Instruction limit
% 34.07/12.21  % (2700446)Termination phase: Property scanning
% 34.07/12.21  % (2700446)Time elapsed: 0.091 s
% 34.07/12.21  % (2700446)Peak memory usage: 112 MB
% 34.07/12.21  % (2700446)Instructions burned: 114 (million)
% 34.07/12.21  % (2700452)lrs+10_1_sil=8000:sp=occurrence:random_seed=2291875400:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2973 on theBenchmark for (2973ds/907Mi)
% 34.07/12.21  % (2700454)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=965951184:i=437:sd=1:aac=none:ss=included_2972 on theBenchmark for (2972ds/437Mi)
% 34.07/12.21  % (2700455)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1362554180:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 34.07/12.21  % (2700454)Refutation not found, incomplete strategy
% 34.07/12.21  % (2700454)------------------------------
% 34.07/12.21  % (2700454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700454)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700454)Termination reason: Refutation not found, incomplete strategy
% 34.07/12.21  % (2700454)Time elapsed: 0.366 s
% 34.07/12.21  % (2700454)Peak memory usage: 122 MB
% 34.07/12.21  % (2700454)Instructions burned: 351 (million)
% 34.07/12.21  % (2700454)------------------------------
% 34.07/12.21  % (2700454)------------------------------
% 34.07/12.21  % (2700452)Instruction limit reached! 
% 34.07/12.21  % (2700452)------------------------------
% 34.07/12.21  % (2700452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700452)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700452)Termination reason: Instruction limit
% 34.07/12.21  % (2700452)Termination phase: Property scanning
% 34.07/12.21  % (2700452)Time elapsed: 0.898 s
% 34.07/12.21  % (2700452)Peak memory usage: 132 MB
% 34.07/12.21  % (2700452)Instructions burned: 907 (million)
% 34.07/12.21  % (2700459)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=625822021:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2961 on theBenchmark for (2961ds/134Mi)
% 34.07/12.21  % (2700460)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2650847314:st=8:i=592:sd=3:ep=RST:ss=axioms_2960 on theBenchmark for (2960ds/592Mi)
% 34.07/12.21  % (2700459)Instruction limit reached! 
% 34.07/12.21  % (2700459)------------------------------
% 34.07/12.21  % (2700459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700459)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700459)Termination reason: Instruction limit
% 34.07/12.21  % (2700459)Termination phase: Unused predicate definition removal
% 34.07/12.21  % (2700459)Time elapsed: 0.181 s
% 34.07/12.21  % (2700459)Peak memory usage: 114 MB
% 34.07/12.21  % (2700459)Instructions burned: 134 (million)
% 34.07/12.21  % (2700463)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1614411844:st=3:i=13193:sd=3:ss=axioms_2957 on theBenchmark for (2957ds/13193Mi)
% 34.07/12.21  % (2700442)Instruction limit reached! 
% 34.07/12.21  % (2700442)------------------------------
% 34.07/12.21  % (2700442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700442)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700442)Termination reason: Instruction limit
% 34.07/12.21  % (2700442)Termination phase: Property scanning
% 34.07/12.21  % (2700442)Time elapsed: 2.205 s
% 34.07/12.21  % (2700442)Peak memory usage: 171 MB
% 34.07/12.21  % (2700442)Instructions burned: 2350 (million)
% 34.07/12.21  % (2700460)Instruction limit reached! 
% 34.07/12.21  % (2700460)------------------------------
% 34.07/12.21  % (2700460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700460)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700460)Termination reason: Instruction limit
% 34.07/12.21  % (2700460)Termination phase: Clausification
% 34.07/12.21  % (2700460)Time elapsed: 0.679 s
% 34.07/12.21  % (2700460)Peak memory usage: 134 MB
% 34.07/12.21  % (2700460)Instructions burned: 592 (million)
% 34.07/12.21  % (2700465)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=210939479:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2952 on theBenchmark for (2952ds/125Mi)
% 34.07/12.21  % (2700465)Instruction limit reached! 
% 34.07/12.21  % (2700465)------------------------------
% 34.07/12.21  % (2700465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700465)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700465)Termination reason: Instruction limit
% 34.07/12.21  % (2700465)Termination phase: Property scanning
% 34.07/12.21  % (2700465)Time elapsed: 0.102 s
% 34.07/12.21  % (2700465)Peak memory usage: 112 MB
% 34.07/12.21  % (2700465)Instructions burned: 125 (million)
% 34.07/12.21  % (2700466)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2840051985:i=134:gtgl=5:slsql=off:gtg=exists_sym_2951 on theBenchmark for (2951ds/134Mi)
% 34.07/12.21  % (2700466)Instruction limit reached! 
% 34.07/12.21  % (2700466)------------------------------
% 34.07/12.21  % (2700466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700466)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700466)Termination reason: Instruction limit
% 34.07/12.21  % (2700466)Termination phase: Property scanning
% 34.07/12.21  % (2700466)Time elapsed: 0.113 s
% 34.07/12.21  % (2700466)Peak memory usage: 112 MB
% 34.07/12.21  % (2700466)Instructions burned: 134 (million)
% 34.07/12.21  % (2700470)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3697323473:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2948 on theBenchmark for (2948ds/141Mi)
% 34.07/12.21  % (2700470)Instruction limit reached! 
% 34.07/12.21  % (2700470)------------------------------
% 34.07/12.21  % (2700470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700470)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700470)Termination reason: Instruction limit
% 34.07/12.21  % (2700470)Termination phase: Saturation
% 34.07/12.21  % (2700470)Time elapsed: 0.176 s
% 34.07/12.21  % (2700470)Peak memory usage: 117 MB
% 34.07/12.21  % (2700470)Instructions burned: 141 (million)
% 34.07/12.21  % (2700472)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3336737152:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2947 on theBenchmark for (2947ds/431Mi)
% 34.07/12.21  % (2700475)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1320992021:i=6060:aac=none:ins=25_2944 on theBenchmark for (2944ds/6060Mi)
% 34.07/12.21  % (2700472)Instruction limit reached! 
% 34.07/12.21  % (2700472)------------------------------
% 34.07/12.21  % (2700472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700472)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700472)Termination reason: Instruction limit
% 34.07/12.21  % (2700472)Termination phase: Saturation
% 34.07/12.21  % (2700472)Time elapsed: 0.440 s
% 34.07/12.21  % (2700472)Peak memory usage: 119 MB
% 34.07/12.21  % (2700472)Instructions burned: 432 (million)
% 34.07/12.21  % (2700477)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=396551429:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2939 on theBenchmark for (2939ds/150Mi)
% 34.07/12.21  % (2700477)Instruction limit reached! 
% 34.07/12.21  % (2700477)------------------------------
% 34.07/12.21  % (2700477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700477)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700477)Termination reason: Instruction limit
% 34.07/12.21  % (2700477)Termination phase: Preprocessing 1
% 34.07/12.21  % (2700477)Time elapsed: 0.197 s
% 34.07/12.21  % (2700477)Peak memory usage: 113 MB
% 34.07/12.21  % (2700477)Instructions burned: 150 (million)
% 34.07/12.21  % (2700479)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2504434010:i=14155:bd=all_2934 on theBenchmark for (2934ds/14155Mi)
% 34.07/12.21  % (2700455)Instruction limit reached! 
% 34.07/12.21  % (2700455)------------------------------
% 34.07/12.21  % (2700455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700455)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700455)Termination reason: Instruction limit
% 34.07/12.21  % (2700455)Termination phase: Saturation
% 34.07/12.21  % (2700455)Time elapsed: 6.175 s
% 34.07/12.21  % (2700455)Peak memory usage: 597 MB
% 34.07/12.21  % (2700455)Instructions burned: 5202 (million)
% 34.07/12.21  % (2700481)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1773492665:i=667:av=off:fsr=off_2905 on theBenchmark for (2905ds/667Mi)
% 34.07/12.21  % (2700481)Instruction limit reached! 
% 34.07/12.21  % (2700481)------------------------------
% 34.07/12.21  % (2700481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.07/12.21  % (2700481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.07/12.21  % (2700481)CaDiCaL version: 2.1.3
% 34.07/12.21  % (2700481)Termination reason: Instruction limit
% 34.07/12.21  % (2700481)Termination phase: NewCNF
% 34.07/12.21  % (2700481)Time elapsed: 0.781 s
% 34.07/12.21  % (2700481)Peak memory usage: 149 MB
% 34.07/12.21  % (2700481)Instructions burned: 667 (million)
% 34.07/12.21  % (2700419)First to succeed.
% 34.07/12.21  % (2700419)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2700412"
% 34.07/12.21  % (2700483)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1229953909:s2a=on:i=185:s2at=1.8:fdi=4_2894 on theBenchmark for (2894ds/185Mi)
% 34.07/12.21  % (2700419)Refutation found. Thanks to Tanya!
% 34.07/12.21  % SZS status Theorem for theBenchmark
% 34.07/12.21  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/12.41  % (2700419)------------------------------
% 0.25/12.41  % (2700419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/12.41  % (2700419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/12.41  % (2700419)CaDiCaL version: 2.1.3
% 0.25/12.41  % (2700419)Termination reason: Refutation
% 0.25/12.41  % (2700419)Time elapsed: 9.162 s
% 0.25/12.41  % (2700419)Peak memory usage: 269 MB
% 0.25/12.41  % (2700419)Instructions burned: 17499 (million)
% 0.25/12.41  % (2700419)------------------------------
% 0.25/12.41  % (2700419)------------------------------
% 0.25/12.41  % (2700412)Success in time 11.151 s
% 0.25/12.41  % Vampire exiting
%------------------------------------------------------------------------------