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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT361+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 : n020.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 11:47:20 AM UTC 2026

% Result   : Theorem 24.60s 5.58s
% Output   : Refutation 27.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  101 (  13 unt;   2 def)
%            Number of atoms       :  535 (  58 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :  668 ( 234   ~; 329   |;  85   &)
%                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   24 (  22 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-5 aty)
%            Number of variables   :   98 (   0 sgn  97   !;   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(f14233,axiom,
    ! [X0] :
      ( l2_altcat_1(X0)
     => ( ( ~ v3_struct_0(X0)
          & v12_altcat_1(X0) )
       => ( ~ v3_struct_0(X0)
          & v1_altcat_2(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_altcat_2) ).

fof(f14633,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v12_altcat_1(X0)
        & l2_altcat_1(X0)
        & ~ v3_struct_0(X1)
        & v12_altcat_1(X1)
        & l2_altcat_1(X1) )
     => ! [X2] :
          ( m2_functor0(X2,X0,X1)
         => l2_functor0(X2,X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_functor0) ).

fof(f14700,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v12_altcat_1(X0)
        & v1_altcat_2(X0)
        & l2_altcat_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v2_altcat_1(X1)
            & v12_altcat_1(X1)
            & v1_altcat_2(X1)
            & l2_altcat_1(X1) )
         => ! [X2] :
              ( ( v8_functor0(X2,X0,X1)
                & l2_functor0(X2,X0,X1) )
             => ( v21_functor0(X2,X0,X1)
               => k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2)) = k12_functor0(X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_functor1) ).

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(f18899,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_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(f18940,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_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(f18942,conjecture,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
        & k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_waybel34) ).

fof(f18943,negated_conjecture,
    ~ ! [X0] :
        ( ~ v2_setfam_1(X0)
       => ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
          & k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f18942]) ).

fof(f19225,plain,
    ? [X0] :
      ( ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) != k12_functor0(k5_waybel34(X0))
        | k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) != k12_functor0(k4_waybel34(X0)) )
      & ~ v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f18943]) ).

fof(f19248,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f588]) ).

fof(f19257,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2)) = k12_functor0(X0)
              | ~ v21_functor0(X2,X0,X1)
              | ~ v8_functor0(X2,X0,X1)
              | ~ l2_functor0(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ v1_altcat_2(X1)
          | ~ l2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f14700]) ).

fof(f19258,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2)) = k12_functor0(X0)
              | ~ v21_functor0(X2,X0,X1)
              | ~ v8_functor0(X2,X0,X1)
              | ~ l2_functor0(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ v1_altcat_2(X1)
          | ~ l2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f19257]) ).

fof(f19301,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(f19306,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(f19307,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(f19308,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(f19311,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(f19312,plain,
    ! [X0] :
      ( ( v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f18940]) ).

fof(f19315,plain,
    ! [X0] :
      ( ( v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f18899]) ).

fof(f19701,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( l2_functor0(X2,X0,X1)
          | ~ m2_functor0(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(ennf_transformation,[],[f14633]) ).

fof(f19702,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( l2_functor0(X2,X0,X1)
          | ~ m2_functor0(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(flattening,[],[f19701]) ).

fof(f19814,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_altcat_2(X0) )
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f14233]) ).

fof(f19815,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_altcat_2(X0) )
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f19814]) ).

fof(f24947,plain,
    ( ( k13_functor0(k5_waybel34(sK246),k4_waybel34(sK246),k5_waybel34(sK246),k7_waybel34(sK246),k6_waybel34(sK246)) != k12_functor0(k5_waybel34(sK246))
      | k13_functor0(k4_waybel34(sK246),k5_waybel34(sK246),k4_waybel34(sK246),k6_waybel34(sK246),k7_waybel34(sK246)) != k12_functor0(k4_waybel34(sK246)) )
    & ~ v2_setfam_1(sK246) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK246]),skolemize(X0,sK246)],[f19225]) ).

fof(f27201,plain,
    ~ v2_setfam_1(sK246),
    inference(cnf_transformation,[],[f24947]) ).

fof(f27202,plain,
    ( k13_functor0(k5_waybel34(sK246),k4_waybel34(sK246),k5_waybel34(sK246),k7_waybel34(sK246),k6_waybel34(sK246)) != k12_functor0(k5_waybel34(sK246))
    | k13_functor0(k4_waybel34(sK246),k5_waybel34(sK246),k4_waybel34(sK246),k6_waybel34(sK246),k7_waybel34(sK246)) != k12_functor0(k4_waybel34(sK246)) ),
    inference(cnf_transformation,[],[f24947]) ).

fof(f27247,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19248]) ).

fof(f27253,plain,
    ! [X2,X0,X1] :
      ( k12_functor0(X0) = k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2))
      | ~ v21_functor0(X2,X0,X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f19258]) ).

fof(f27331,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19301]) ).

fof(f27333,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19301]) ).

fof(f27336,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19301]) ).

fof(f27337,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19301]) ).

fof(f27387,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19306]) ).

fof(f27389,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19306]) ).

fof(f27392,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19306]) ).

fof(f27393,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f19306]) ).

fof(f27394,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) ),
    inference(cnf_transformation,[],[f19307]) ).

fof(f27395,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ),
    inference(cnf_transformation,[],[f19307]) ).

fof(f27396,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19308]) ).

fof(f27402,plain,
    ! [X0] :
      ( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19308]) ).

fof(f27414,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19311]) ).

fof(f27417,plain,
    ! [X0] :
      ( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19312]) ).

fof(f27423,plain,
    ! [X0] :
      ( v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19312]) ).

fof(f27435,plain,
    ! [X0] :
      ( m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f19315]) ).

fof(f28258,plain,
    ! [X2,X0,X1] :
      ( ~ m2_functor0(X2,X0,X1)
      | l2_functor0(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(cnf_transformation,[],[f19702]) ).

fof(f28442,plain,
    ! [X0] :
      ( v1_altcat_2(X0)
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f19815]) ).

fof(f39755,plain,
    ! [X2,X0,X1] :
      ( k12_functor0(X0) = k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2))
      | ~ v21_functor0(X2,X0,X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(forward_subsumption_resolution,[],[f27253,f28442]) ).

fof(f39758,definition,
    ( spl1507_19
  <=> k13_functor0(k4_waybel34(sK246),k5_waybel34(sK246),k4_waybel34(sK246),k6_waybel34(sK246),k7_waybel34(sK246)) = k12_functor0(k4_waybel34(sK246)) ),
    introduced(definition,[new_symbols(definition,[spl1507_19])],[avatar_definition]) ).

fof(f39760,plain,
    ( k13_functor0(k4_waybel34(sK246),k5_waybel34(sK246),k4_waybel34(sK246),k6_waybel34(sK246),k7_waybel34(sK246)) != k12_functor0(k4_waybel34(sK246))
    | spl1507_19 ),
    inference(avatar_component_clause,[],[f39758]) ).

fof(f39762,definition,
    ( spl1507_20
  <=> k13_functor0(k5_waybel34(sK246),k4_waybel34(sK246),k5_waybel34(sK246),k7_waybel34(sK246),k6_waybel34(sK246)) = k12_functor0(k5_waybel34(sK246)) ),
    introduced(definition,[new_symbols(definition,[spl1507_20])],[avatar_definition]) ).

fof(f39764,plain,
    ( k13_functor0(k5_waybel34(sK246),k4_waybel34(sK246),k5_waybel34(sK246),k7_waybel34(sK246),k6_waybel34(sK246)) != k12_functor0(k5_waybel34(sK246))
    | spl1507_20 ),
    inference(avatar_component_clause,[],[f39762]) ).

fof(f39765,plain,
    ( ~ spl1507_19
    | ~ spl1507_20 ),
    inference(avatar_split_clause,[],[f27202,f39762,f39758]) ).

fof(f39939,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X2,X0,X1)
      | k12_functor0(X0) = k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2))
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(forward_subsumption_resolution,[],[f39755,f28442]) ).

fof(f40042,plain,
    k6_waybel34(sK246) = k15_functor0(k5_waybel34(sK246),k4_waybel34(sK246),k7_waybel34(sK246)),
    inference(resolution,[],[f27201,f27394]) ).

fof(f40043,plain,
    k7_waybel34(sK246) = k15_functor0(k4_waybel34(sK246),k5_waybel34(sK246),k6_waybel34(sK246)),
    inference(resolution,[],[f27201,f27395]) ).

fof(f40047,plain,
    ! [X0] :
      ( k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f39939,f27417]) ).

fof(f40048,plain,
    ! [X0] :
      ( k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f39939,f27396]) ).

fof(f40049,plain,
    ! [X0] :
      ( ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f40048,f27402]) ).

fof(f40050,plain,
    ! [X0] :
      ( ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f40047,f27423]) ).

fof(f40067,plain,
    ! [X0] :
      ( l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f28258,f27435]) ).

fof(f40068,plain,
    ! [X0] :
      ( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f28258,f27414]) ).

fof(f40071,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f40068,f40049]) ).

fof(f40072,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v2_altcat_1(k5_waybel34(X0)) ),
    inference(duplicate_literal_removal,[],[f40071]) ).

fof(f40073,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(resolution,[],[f40072,f27389]) ).

fof(f40074,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40073,f27336]) ).

fof(f40075,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40074,f27333]) ).

fof(f40076,plain,
    ! [X0] :
      ( v3_struct_0(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40075,f27331]) ).

fof(f40077,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40076,f27393]) ).

fof(f40078,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40077,f27337]) ).

fof(f40079,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40078,f27387]) ).

fof(f40080,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40079,f27392]) ).

fof(f40081,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))) ),
    inference(forward_subsumption_resolution,[],[f40080,f27247]) ).

fof(f40082,plain,
    k12_functor0(k4_waybel34(sK246)) = k13_functor0(k4_waybel34(sK246),k5_waybel34(sK246),k4_waybel34(sK246),k6_waybel34(sK246),k15_functor0(k4_waybel34(sK246),k5_waybel34(sK246),k6_waybel34(sK246))),
    inference(resolution,[],[f40081,f27201]) ).

fof(f40083,plain,
    k13_functor0(k4_waybel34(sK246),k5_waybel34(sK246),k4_waybel34(sK246),k6_waybel34(sK246),k7_waybel34(sK246)) = k12_functor0(k4_waybel34(sK246)),
    inference(forward_demodulation,[],[f40082,f40043]) ).

fof(f40084,plain,
    ( $false
    | spl1507_19 ),
    inference(forward_subsumption_resolution,[],[f40083,f39760]) ).

fof(f40085,plain,
    spl1507_19,
    inference(avatar_contradiction_clause,[],[f40084]) ).

fof(f40086,plain,
    ! [X0] :
      ( v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f40067,f40050]) ).

fof(f40087,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v2_altcat_1(k4_waybel34(X0)) ),
    inference(duplicate_literal_removal,[],[f40086]) ).

fof(f40088,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(resolution,[],[f40087,f27389]) ).

fof(f40089,plain,
    ! [X0] :
      ( v3_struct_0(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40088,f27392]) ).

fof(f40090,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40089,f27393]) ).

fof(f40091,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40090,f27387]) ).

fof(f40092,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40091,f27337]) ).

fof(f40093,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40092,f27333]) ).

fof(f40094,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40093,f27331]) ).

fof(f40095,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f40094,f27336]) ).

fof(f40096,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))) ),
    inference(forward_subsumption_resolution,[],[f40095,f27247]) ).

fof(f40097,plain,
    k12_functor0(k5_waybel34(sK246)) = k13_functor0(k5_waybel34(sK246),k4_waybel34(sK246),k5_waybel34(sK246),k7_waybel34(sK246),k15_functor0(k5_waybel34(sK246),k4_waybel34(sK246),k7_waybel34(sK246))),
    inference(resolution,[],[f40096,f27201]) ).

fof(f40098,plain,
    k13_functor0(k5_waybel34(sK246),k4_waybel34(sK246),k5_waybel34(sK246),k7_waybel34(sK246),k6_waybel34(sK246)) = k12_functor0(k5_waybel34(sK246)),
    inference(forward_demodulation,[],[f40097,f40042]) ).

fof(f40099,plain,
    ( $false
    | spl1507_20 ),
    inference(forward_subsumption_resolution,[],[f40098,f39764]) ).

fof(f40100,plain,
    spl1507_20,
    inference(avatar_contradiction_clause,[],[f40099]) ).

cnf(s13,plain,
    ( ~ spl1507_19
    | ~ spl1507_20 ),
    inference(sat_conversion,[],[f39765]) ).

cnf(s17,plain,
    spl1507_19,
    inference(sat_conversion,[],[f40085]) ).

cnf(s18,plain,
    spl1507_20,
    inference(sat_conversion,[],[f40100]) ).

cnf(s19,plain,
    $false,
    inference(rat,[],[s13,s18,s17]) ).

fof(f40101,plain,
    $false,
    inference(avatar_sat_refutation,[],[s19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT361+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n020.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 15:02:22 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.78/3.89  % (3482135)Detected formulas, will run a generic FOF schedule.
% 13.78/3.89  % (3482146)dis-21_1_sil=8000:lcm=predicate:random_seed=1552459174:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 13.78/3.89  % (3482142)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=78435192:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 13.78/3.89  % (3482145)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4229606955:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 13.78/3.89  % (3482141)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=167224633:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 13.78/3.89  % (3482143)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=722277623:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 13.78/3.89  % (3482144)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3143131656:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 13.78/3.89  % (3482140)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=3260410609:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 13.78/3.89  % (3482146)Instruction limit reached! 
% 13.78/3.89  % (3482146)------------------------------
% 13.78/3.89  % (3482146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.89  % (3482146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.89  % (3482146)CaDiCaL version: 2.1.3
% 13.78/3.89  % (3482146)Termination reason: Instruction limit
% 13.78/3.89  % (3482146)Termination phase: SInE selection
% 13.78/3.89  % (3482146)Time elapsed: 0.051 s
% 13.78/3.89  % (3482146)Peak memory usage: 112 MB
% 13.78/3.89  % (3482146)Instructions burned: 130 (million)
% 13.78/3.89  % (3482145)Instruction limit reached! 
% 13.78/3.89  % (3482145)------------------------------
% 13.78/3.89  % (3482145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.89  % (3482145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.89  % (3482145)CaDiCaL version: 2.1.3
% 13.78/3.89  % (3482145)Termination reason: Instruction limit
% 13.78/3.89  % (3482145)Termination phase: Property scanning
% 13.78/3.89  % (3482145)Time elapsed: 0.061 s
% 13.78/3.89  % (3482145)Peak memory usage: 112 MB
% 13.78/3.89  % (3482145)Instructions burned: 139 (million)
% 13.78/3.89  % (3482143)Instruction limit reached! 
% 13.78/3.89  % (3482143)------------------------------
% 13.78/3.89  % (3482143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.89  % (3482143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.89  % (3482143)CaDiCaL version: 2.1.3
% 13.78/3.89  % (3482143)Termination reason: Instruction limit
% 13.78/3.89  % (3482143)Termination phase: SInE selection
% 13.78/3.89  % (3482143)Time elapsed: 0.083 s
% 13.78/3.89  % (3482143)Peak memory usage: 112 MB
% 13.78/3.89  % (3482143)Instructions burned: 110 (million)
% 13.78/3.89  % (3482144)Instruction limit reached! 
% 13.78/3.89  % (3482144)------------------------------
% 13.78/3.89  % (3482144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.89  % (3482144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.89  % (3482144)CaDiCaL version: 2.1.3
% 13.78/3.89  % (3482144)Termination reason: Instruction limit
% 13.78/3.89  % (3482144)Termination phase: SInE selection
% 13.78/3.89  % (3482144)Time elapsed: 0.091 s
% 13.78/3.89  % (3482144)Peak memory usage: 112 MB
% 13.78/3.89  % (3482144)Instructions burned: 119 (million)
% 13.78/3.89  % (3482154)lrs+10_1_sil=8000:sp=occurrence:random_seed=4238170541:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 13.78/3.89  % (3482155)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2893487080:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 13.78/3.89  % (3482156)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2757136383:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 13.78/3.89  % (3482154)Instruction limit reached! 
% 13.78/3.89  % (3482154)------------------------------
% 13.78/3.89  % (3482154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.89  % (3482154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/4.88  % (3482154)CaDiCaL version: 2.1.3
% 21.09/4.88  % (3482154)Termination reason: Instruction limit
% 21.09/4.88  % (3482154)Termination phase: Saturation
% 21.09/4.88  % (3482154)Time elapsed: 0.114 s
% 21.09/4.88  % (3482154)Peak memory usage: 119 MB
% 21.09/4.88  % (3482154)Instructions burned: 286 (million)
% 21.09/4.88  % (3482157)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=1329135236:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 21.09/4.88  % (3482155)Instruction limit reached! 
% 21.09/4.88  % (3482155)------------------------------
% 21.09/4.88  % (3482155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.09/4.88  % (3482155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/4.88  % (3482155)CaDiCaL version: 2.1.3
% 21.09/4.88  % (3482155)Termination reason: Instruction limit
% 21.09/4.88  % (3482155)Termination phase: Property scanning
% 21.09/4.88  % (3482155)Time elapsed: 0.070 s
% 21.09/4.88  % (3482155)Peak memory usage: 112 MB
% 21.09/4.88  % (3482155)Instructions burned: 159 (million)
% 21.09/4.88  % (3482161)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2652223114:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 21.09/4.88  % (3482157)Instruction limit reached! 
% 21.09/4.88  % (3482157)------------------------------
% 21.09/4.88  % (3482157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.09/4.88  % (3482157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/4.88  % (3482157)CaDiCaL version: 2.1.3
% 21.09/4.88  % (3482157)Termination reason: Instruction limit
% 21.09/4.88  % (3482157)Termination phase: Property scanning
% 21.09/4.88  % (3482157)Time elapsed: 0.108 s
% 21.09/4.88  % (3482157)Peak memory usage: 112 MB
% 21.09/4.88  % (3482157)Instructions burned: 249 (million)
% 21.09/4.88  % (3482163)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3826796418:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 21.09/4.88  % (3482156)Instruction limit reached! 
% 21.09/4.88  % (3482156)------------------------------
% 21.09/4.88  % (3482156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.09/4.88  % (3482156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/4.88  % (3482156)CaDiCaL version: 2.1.3
% 21.09/4.88  % (3482156)Termination reason: Instruction limit
% 21.09/4.88  % (3482156)Termination phase: Saturation
% 21.09/4.88  % (3482156)Time elapsed: 0.230 s
% 21.09/4.88  % (3482156)Peak memory usage: 118 MB
% 21.09/4.88  % (3482156)Instructions burned: 325 (million)
% 21.09/4.88  % (3482161)Instruction limit reached! 
% 21.09/4.88  % (3482161)------------------------------
% 21.09/4.88  % (3482161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.09/4.88  % (3482161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/4.88  % (3482161)CaDiCaL version: 2.1.3
% 21.09/4.88  % (3482161)Termination reason: Instruction limit
% 21.09/4.88  % (3482161)Termination phase: Saturation
% 21.09/4.88  % (3482161)Time elapsed: 0.110 s
% 21.09/4.88  % (3482161)Peak memory usage: 119 MB
% 21.09/4.88  % (3482161)Instructions burned: 294 (million)
% 21.09/4.88  % (3482165)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3248304302:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 21.09/4.88  % (3482168)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=391779288:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 21.09/4.88  % (3482168)Instruction limit reached! 
% 21.09/4.88  % (3482168)------------------------------
% 21.09/4.88  % (3482168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.09/4.88  % (3482168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/4.88  % (3482168)CaDiCaL version: 2.1.3
% 21.09/4.88  % (3482168)Termination reason: Instruction limit
% 21.09/4.88  % (3482168)Termination phase: Property scanning
% 21.09/4.88  % (3482168)Time elapsed: 0.027 s
% 21.09/4.88  % (3482168)Peak memory usage: 112 MB
% 21.09/4.88  % (3482168)Instructions burned: 115 (million)
% 21.09/4.88  % (3482165)Instruction limit reached! 
% 21.09/4.88  % (3482165)------------------------------
% 21.09/4.88  % (3482165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.09/4.88  % (3482165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/4.88  % (3482165)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482165)Termination reason: Instruction limit
% 24.60/5.58  % (3482165)Termination phase: SInE selection
% 24.60/5.58  % (3482165)Time elapsed: 0.089 s
% 24.60/5.58  % (3482165)Peak memory usage: 112 MB
% 24.60/5.58  % (3482165)Instructions burned: 113 (million)
% 24.60/5.58  % (3482167)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2564308066:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 24.60/5.58  % (3482167)Instruction limit reached! 
% 24.60/5.58  % (3482167)------------------------------
% 24.60/5.58  % (3482167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482167)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482167)Termination reason: Instruction limit
% 24.60/5.58  % (3482167)Termination phase: Preprocessing 1
% 24.60/5.58  % (3482167)Time elapsed: 0.092 s
% 24.60/5.58  % (3482167)Peak memory usage: 113 MB
% 24.60/5.58  % (3482167)Instructions burned: 128 (million)
% 24.60/5.58  % (3482171)lrs+10_1_sil=8000:sp=occurrence:random_seed=1262826190:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 24.60/5.58  % (3482173)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3403212807:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 24.60/5.58  % (3482174)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=108449741:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 24.60/5.58  % (3482173)Refutation not found, incomplete strategy
% 24.60/5.58  % (3482173)------------------------------
% 24.60/5.58  % (3482173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482173)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482173)Termination reason: Refutation not found, incomplete strategy
% 24.60/5.58  % (3482173)Time elapsed: 0.164 s
% 24.60/5.58  % (3482173)Peak memory usage: 119 MB
% 24.60/5.58  % (3482173)Instructions burned: 222 (million)
% 24.60/5.58  % (3482171)Instruction limit reached! 
% 24.60/5.58  % (3482171)------------------------------
% 24.60/5.58  % (3482171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482171)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482171)Termination reason: Instruction limit
% 24.60/5.58  % (3482171)Termination phase: Property scanning
% 24.60/5.58  % (3482171)Time elapsed: 0.328 s
% 24.60/5.58  % (3482171)Peak memory usage: 135 MB
% 24.60/5.58  % (3482171)Instructions burned: 912 (million)
% 24.60/5.58  % (3482173)------------------------------
% 24.60/5.58  % (3482173)------------------------------
% 24.60/5.58  % (3482178)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2603369397:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 24.60/5.58  % (3482178)Instruction limit reached! 
% 24.60/5.58  % (3482178)------------------------------
% 24.60/5.58  % (3482178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482178)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482178)Termination reason: Instruction limit
% 24.60/5.58  % (3482178)Termination phase: NewCNF
% 24.60/5.58  % (3482178)Time elapsed: 0.069 s
% 24.60/5.58  % (3482178)Peak memory usage: 115 MB
% 24.60/5.58  % (3482178)Instructions burned: 135 (million)
% 24.60/5.58  % (3482179)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=416247127:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 24.60/5.58  % (3482181)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=109407014:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 24.60/5.58  % (3482163)Instruction limit reached! 
% 24.60/5.58  % (3482163)------------------------------
% 24.60/5.58  % (3482163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482163)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482163)Termination reason: Instruction limit
% 24.60/5.58  % (3482163)Termination phase: Property scanning
% 24.60/5.58  % (3482163)Time elapsed: 1.249 s
% 24.60/5.58  % (3482163)Peak memory usage: 170 MB
% 24.60/5.58  % (3482163)Instructions burned: 2352 (million)
% 24.60/5.58  % (3482179)Instruction limit reached! 
% 24.60/5.58  % (3482179)------------------------------
% 24.60/5.58  % (3482179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482179)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482179)Termination reason: Instruction limit
% 24.60/5.58  % (3482179)Termination phase: Clausification
% 24.60/5.58  % (3482179)Time elapsed: 0.424 s
% 24.60/5.58  % (3482179)Peak memory usage: 134 MB
% 24.60/5.58  % (3482179)Instructions burned: 593 (million)
% 24.60/5.58  % (3482184)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=687465291:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 24.60/5.58  % (3482185)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=709660048:i=134:gtgl=5:slsql=off:gtg=exists_sym_2969 on theBenchmark for (2969ds/134Mi)
% 24.60/5.58  % (3482184)Instruction limit reached! 
% 24.60/5.58  % (3482184)------------------------------
% 24.60/5.58  % (3482184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482184)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482184)Termination reason: Instruction limit
% 24.60/5.58  % (3482184)Termination phase: Property scanning
% 24.60/5.58  % (3482184)Time elapsed: 0.057 s
% 24.60/5.58  % (3482184)Peak memory usage: 112 MB
% 24.60/5.58  % (3482184)Instructions burned: 126 (million)
% 24.60/5.58  % (3482185)Instruction limit reached! 
% 24.60/5.58  % (3482185)------------------------------
% 24.60/5.58  % (3482185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482185)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482185)Termination reason: Instruction limit
% 24.60/5.58  % (3482185)Termination phase: Property scanning
% 24.60/5.58  % (3482185)Time elapsed: 0.059 s
% 24.60/5.58  % (3482185)Peak memory usage: 112 MB
% 24.60/5.58  % (3482185)Instructions burned: 136 (million)
% 24.60/5.58  % (3482188)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1830996506:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/141Mi)
% 24.60/5.58  % (3482189)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1680917497:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/431Mi)
% 24.60/5.58  % (3482188)Instruction limit reached! 
% 24.60/5.58  % (3482188)------------------------------
% 24.60/5.58  % (3482188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482188)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482188)Termination reason: Instruction limit
% 24.60/5.58  % (3482188)Termination phase: Saturation
% 24.60/5.58  % (3482188)Time elapsed: 0.119 s
% 24.60/5.58  % (3482188)Peak memory usage: 117 MB
% 24.60/5.58  % (3482188)Instructions burned: 141 (million)
% 24.60/5.58  % (3482192)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=4188874832:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 24.60/5.58  % (3482189)Instruction limit reached! 
% 24.60/5.58  % (3482189)------------------------------
% 24.60/5.58  % (3482189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482189)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482189)Termination reason: Instruction limit
% 24.60/5.58  % (3482189)Termination phase: Saturation
% 24.60/5.58  % (3482189)Time elapsed: 0.284 s
% 24.60/5.58  % (3482189)Peak memory usage: 119 MB
% 24.60/5.58  % (3482189)Instructions burned: 431 (million)
% 24.60/5.58  % (3482194)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=1039546358:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2962 on theBenchmark for (2962ds/150Mi)
% 24.60/5.58  % (3482194)Instruction limit reached! 
% 24.60/5.58  % (3482194)------------------------------
% 24.60/5.58  % (3482194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/5.58  % (3482194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/5.58  % (3482194)CaDiCaL version: 2.1.3
% 24.60/5.58  % (3482194)Termination reason: Instruction limit
% 24.60/5.58  % (3482194)Termination phase: Preprocessing 1
% 24.60/5.58  % (3482194)Time elapsed: 0.125 s
% 24.60/5.58  % (3482194)Peak memory usage: 113 MB
% 24.60/5.58  % (3482194)Instructions burned: 151 (million)
% 24.60/5.58  % (3482196)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3597943601:i=14155:bd=all_2959 on theBenchmark for (2959ds/14155Mi)
% 24.60/5.58  % (3482181)First to succeed.
% 24.60/5.58  % (3482181)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3482135"
% 24.60/5.58  % (3482181)Refutation found. Thanks to Tanya!
% 24.60/5.58  % SZS status Theorem for theBenchmark
% 24.60/5.58  % SZS output start Proof for theBenchmark
% See solution above
% 27.19/5.79  % (3482181)------------------------------
% 27.19/5.79  % (3482181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.19/5.79  % (3482181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/5.79  % (3482181)CaDiCaL version: 2.1.3
% 27.19/5.79  % (3482181)Termination reason: Refutation
% 27.19/5.79  % (3482181)Time elapsed: 1.791 s
% 27.19/5.79  % (3482181)Peak memory usage: 282 MB
% 27.19/5.79  % (3482181)Instructions burned: 5239 (million)
% 27.19/5.79  % (3482181)------------------------------
% 27.19/5.79  % (3482181)------------------------------
% 27.19/5.79  % (3482135)Success in time 4.718 s
% 27.19/5.79  % Vampire exiting
%------------------------------------------------------------------------------