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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT361+4 : 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 : n001.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 29.80s 13.00s
% Output   : Refutation 60.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  100 (  13 unt;   2 def)
%            Number of atoms       :  534 (  57 equ)
%            Maximal formula atoms :   21 (   5 avg)
%            Number of connectives :  684 ( 250   ~; 318   |;  94   &)
%                                         (   2 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Maximal term depth    :    4 (   1 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   :  127 (   0 sgn 126   !;   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(f37651,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(f38810,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(f38877,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(f42598,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)
         => ( v8_functor0(X2,X0,X1)
            & v12_functor0(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_functor2) ).

fof(f55677,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(f55678,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(f55679,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(f55680,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(f55720,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(f55721,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(f55722,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(f55723,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(f55724,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)],[f55723]) ).

fof(f55895,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,[],[f55677]) ).

fof(f55896,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,[],[f55678]) ).

fof(f55897,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,[],[f55679]) ).

fof(f55898,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,[],[f55680]) ).

fof(f55968,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,[],[f55720]) ).

fof(f55969,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,[],[f55721]) ).

fof(f55970,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,[],[f55722]) ).

fof(f55971,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,[],[f55724]) ).

fof(f56050,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f588]) ).

fof(f56586,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,[],[f37651]) ).

fof(f56587,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_altcat_2(X0) )
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f56586]) ).

fof(f56700,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( v8_functor0(X2,X0,X1)
            & v12_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,[],[f42598]) ).

fof(f56701,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( v8_functor0(X2,X0,X1)
            & v12_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,[],[f56700]) ).

fof(f56774,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,[],[f38877]) ).

fof(f56775,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,[],[f56774]) ).

fof(f57224,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,[],[f38810]) ).

fof(f57225,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,[],[f57224]) ).

fof(f68137,plain,
    ( ( k13_functor0(k5_waybel34(sK127),k4_waybel34(sK127),k5_waybel34(sK127),k7_waybel34(sK127),k6_waybel34(sK127)) != k12_functor0(k5_waybel34(sK127))
      | k13_functor0(k4_waybel34(sK127),k5_waybel34(sK127),k4_waybel34(sK127),k6_waybel34(sK127),k7_waybel34(sK127)) != k12_functor0(k4_waybel34(sK127)) )
    & ~ v2_setfam_1(sK127) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK127]),skolemize(X0,sK127)],[f55971]) ).

fof(f71636,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f55895]) ).

fof(f71638,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f55895]) ).

fof(f71641,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f55895]) ).

fof(f71642,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f55895]) ).

fof(f71643,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f55896]) ).

fof(f71645,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f55896]) ).

fof(f71648,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f55896]) ).

fof(f71649,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f55896]) ).

fof(f71650,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f55897]) ).

fof(f71653,plain,
    ! [X0] :
      ( m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f55898]) ).

fof(f71880,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f55968]) ).

fof(f71888,plain,
    ! [X0] :
      ( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f55969]) ).

fof(f71896,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) ),
    inference(cnf_transformation,[],[f55970]) ).

fof(f71897,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ),
    inference(cnf_transformation,[],[f55970]) ).

fof(f71898,plain,
    ~ v2_setfam_1(sK127),
    inference(cnf_transformation,[],[f68137]) ).

fof(f71899,plain,
    ( k13_functor0(k5_waybel34(sK127),k4_waybel34(sK127),k5_waybel34(sK127),k7_waybel34(sK127),k6_waybel34(sK127)) != k12_functor0(k5_waybel34(sK127))
    | k13_functor0(k4_waybel34(sK127),k5_waybel34(sK127),k4_waybel34(sK127),k6_waybel34(sK127),k7_waybel34(sK127)) != k12_functor0(k4_waybel34(sK127)) ),
    inference(cnf_transformation,[],[f68137]) ).

fof(f72086,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f56050]) ).

fof(f72962,plain,
    ! [X0] :
      ( v1_altcat_2(X0)
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f56587]) ).

fof(f73474,plain,
    ! [X2,X0,X1] :
      ( v8_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(cnf_transformation,[],[f56701]) ).

fof(f73595,plain,
    ! [X2,X0,X1] :
      ( ~ l2_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ v8_functor0(X2,X0,X1)
      | k12_functor0(X0) = k13_functor0(X0,X1,X0,X2,k15_functor0(X0,X1,X2))
      | 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,[],[f56775]) ).

fof(f74396,plain,
    ! [X2,X0,X1] :
      ( 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(cnf_transformation,[],[f57225]) ).

fof(f96752,definition,
    ( spl2447_284
  <=> k13_functor0(k4_waybel34(sK127),k5_waybel34(sK127),k4_waybel34(sK127),k6_waybel34(sK127),k7_waybel34(sK127)) = k12_functor0(k4_waybel34(sK127)) ),
    introduced(definition,[new_symbols(definition,[spl2447_284])],[avatar_definition]) ).

fof(f96753,plain,
    ( k13_functor0(k4_waybel34(sK127),k5_waybel34(sK127),k4_waybel34(sK127),k6_waybel34(sK127),k7_waybel34(sK127)) != k12_functor0(k4_waybel34(sK127))
    | spl2447_284 ),
    inference(avatar_component_clause,[],[f96752]) ).

fof(f96755,definition,
    ( spl2447_285
  <=> k13_functor0(k5_waybel34(sK127),k4_waybel34(sK127),k5_waybel34(sK127),k7_waybel34(sK127),k6_waybel34(sK127)) = k12_functor0(k5_waybel34(sK127)) ),
    introduced(definition,[new_symbols(definition,[spl2447_285])],[avatar_definition]) ).

fof(f96756,plain,
    ( k13_functor0(k5_waybel34(sK127),k4_waybel34(sK127),k5_waybel34(sK127),k7_waybel34(sK127),k6_waybel34(sK127)) != k12_functor0(k5_waybel34(sK127))
    | spl2447_285 ),
    inference(avatar_component_clause,[],[f96755]) ).

fof(f96757,plain,
    ( ~ spl2447_284
    | ~ spl2447_285 ),
    inference(avatar_split_clause,[],[f71899,f96755,f96752]) ).

fof(f98324,plain,
    k7_waybel34(sK127) = k15_functor0(k4_waybel34(sK127),k5_waybel34(sK127),k6_waybel34(sK127)),
    inference(resolution,[],[f71897,f71898]) ).

fof(f98325,plain,
    k6_waybel34(sK127) = k15_functor0(k5_waybel34(sK127),k4_waybel34(sK127),k7_waybel34(sK127)),
    inference(resolution,[],[f71896,f71898]) ).

fof(f98349,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X0,X1,X2)
      | ~ v8_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v12_altcat_1(X2)
      | ~ v1_altcat_2(X2)
      | ~ l2_altcat_1(X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | ~ m2_functor0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(X2)
      | ~ v12_altcat_1(X2)
      | ~ l2_altcat_1(X2) ),
    inference(resolution,[],[f73595,f74396]) ).

fof(f98350,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X0,X1,X2)
      | ~ v8_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v12_altcat_1(X2)
      | ~ v1_altcat_2(X2)
      | ~ l2_altcat_1(X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | ~ m2_functor0(X0,X1,X2) ),
    inference(duplicate_literal_removal,[],[f98349]) ).

fof(f98351,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v12_altcat_1(X2)
      | ~ v1_altcat_2(X2)
      | ~ l2_altcat_1(X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | ~ m2_functor0(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f98350,f73474]) ).

fof(f98352,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X0,X1,X2)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v12_altcat_1(X2)
      | ~ l2_altcat_1(X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | ~ m2_functor0(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f98351,f72962]) ).

fof(f98353,plain,
    ! [X2,X0,X1] :
      ( ~ l2_altcat_1(X1)
      | k12_functor0(X1) = k13_functor0(X1,X2,X1,X0,k15_functor0(X1,X2,X0))
      | v3_struct_0(X2)
      | ~ v2_altcat_1(X2)
      | ~ v12_altcat_1(X2)
      | ~ l2_altcat_1(X2)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v21_functor0(X0,X1,X2)
      | ~ m2_functor0(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f98352,f72962]) ).

fof(f98354,plain,
    ! [X2,X0,X1] :
      ( k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),X1,k5_waybel34(X0),X2,k15_functor0(k5_waybel34(X0),X1,X2))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v21_functor0(X2,k5_waybel34(X0),X1)
      | ~ m2_functor0(X2,k5_waybel34(X0),X1)
      | v1_xboole_0(X0) ),
    inference(resolution,[],[f98353,f71643]) ).

fof(f98355,plain,
    ! [X2,X0,X1] :
      ( k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),X1,k4_waybel34(X0),X2,k15_functor0(k4_waybel34(X0),X1,X2))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v1_xboole_0(X0) ),
    inference(resolution,[],[f98353,f71636]) ).

fof(f98356,plain,
    ! [X2,X0,X1] :
      ( k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),X1,k4_waybel34(X0),X2,k15_functor0(k4_waybel34(X0),X1,X2))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f98355,f71642]) ).

fof(f98357,plain,
    ! [X2,X0,X1] :
      ( k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),X1,k5_waybel34(X0),X2,k15_functor0(k5_waybel34(X0),X1,X2))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v21_functor0(X2,k5_waybel34(X0),X1)
      | ~ m2_functor0(X2,k5_waybel34(X0),X1)
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f98354,f71649]) ).

fof(f98358,plain,
    ! [X2,X0,X1] :
      ( k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),X1,k4_waybel34(X0),X2,k15_functor0(k4_waybel34(X0),X1,X2))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f98356,f71641]) ).

fof(f98359,plain,
    ! [X2,X0,X1] :
      ( k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),X1,k5_waybel34(X0),X2,k15_functor0(k5_waybel34(X0),X1,X2))
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ v21_functor0(X2,k5_waybel34(X0),X1)
      | ~ m2_functor0(X2,k5_waybel34(X0),X1)
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f98357,f71648]) ).

fof(f98360,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X2,k4_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | k12_functor0(k4_waybel34(X0)) = k13_functor0(k4_waybel34(X0),X1,k4_waybel34(X0),X2,k15_functor0(k4_waybel34(X0),X1,X2))
      | ~ m2_functor0(X2,k4_waybel34(X0),X1)
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f98358,f71638]) ).

fof(f98361,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X2,k5_waybel34(X0),X1)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | k12_functor0(k5_waybel34(X0)) = k13_functor0(k5_waybel34(X0),X1,k5_waybel34(X0),X2,k15_functor0(k5_waybel34(X0),X1,X2))
      | ~ m2_functor0(X2,k5_waybel34(X0),X1)
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f98359,f71645]) ).

fof(f98362,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))
      | 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)))
      | ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f98361,f71888]) ).

fof(f98363,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(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)))
      | ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98362,f71636]) ).

fof(f98364,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(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)))
      | ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98363,f71642]) ).

fof(f98365,plain,
    ! [X0] :
      ( ~ v12_altcat_1(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)))
      | ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98364,f71641]) ).

fof(f98366,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)))
      | ~ m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98365,f71638]) ).

fof(f98367,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)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98366,f71653]) ).

fof(f98368,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,[],[f98367,f72086]) ).

fof(f98369,plain,
    k12_functor0(k5_waybel34(sK127)) = k13_functor0(k5_waybel34(sK127),k4_waybel34(sK127),k5_waybel34(sK127),k7_waybel34(sK127),k15_functor0(k5_waybel34(sK127),k4_waybel34(sK127),k7_waybel34(sK127))),
    inference(resolution,[],[f98368,f71898]) ).

fof(f98370,plain,
    k13_functor0(k5_waybel34(sK127),k4_waybel34(sK127),k5_waybel34(sK127),k7_waybel34(sK127),k6_waybel34(sK127)) = k12_functor0(k5_waybel34(sK127)),
    inference(forward_demodulation,[],[f98369,f98325]) ).

fof(f98371,plain,
    ( $false
    | spl2447_285 ),
    inference(forward_subsumption_resolution,[],[f98370,f96756]) ).

fof(f98372,plain,
    spl2447_285,
    inference(avatar_contradiction_clause,[],[f98371]) ).

fof(f98373,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))
      | 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)))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f98360,f71880]) ).

fof(f98374,plain,
    ! [X0] :
      ( v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(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)))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98373,f71643]) ).

fof(f98375,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(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)))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98374,f71649]) ).

fof(f98376,plain,
    ! [X0] :
      ( ~ v12_altcat_1(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)))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98375,f71648]) ).

fof(f98377,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)))
      | ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98376,f71645]) ).

fof(f98378,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)))
      | v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f98377,f71650]) ).

fof(f98379,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,[],[f98378,f72086]) ).

fof(f98380,plain,
    k12_functor0(k4_waybel34(sK127)) = k13_functor0(k4_waybel34(sK127),k5_waybel34(sK127),k4_waybel34(sK127),k6_waybel34(sK127),k15_functor0(k4_waybel34(sK127),k5_waybel34(sK127),k6_waybel34(sK127))),
    inference(resolution,[],[f98379,f71898]) ).

fof(f98381,plain,
    k13_functor0(k4_waybel34(sK127),k5_waybel34(sK127),k4_waybel34(sK127),k6_waybel34(sK127),k7_waybel34(sK127)) = k12_functor0(k4_waybel34(sK127)),
    inference(forward_demodulation,[],[f98380,f98324]) ).

fof(f98382,plain,
    ( $false
    | spl2447_284 ),
    inference(forward_subsumption_resolution,[],[f98381,f96753]) ).

fof(f98383,plain,
    spl2447_284,
    inference(avatar_contradiction_clause,[],[f98382]) ).

cnf(s220,plain,
    ( ~ spl2447_284
    | ~ spl2447_285 ),
    inference(sat_conversion,[],[f96757]) ).

cnf(s230,plain,
    spl2447_285,
    inference(sat_conversion,[],[f98372]) ).

cnf(s231,plain,
    spl2447_284,
    inference(sat_conversion,[],[f98383]) ).

cnf(s232,plain,
    $false,
    inference(rat,[],[s220,s230,s231]) ).

fof(f98384,plain,
    $false,
    inference(avatar_sat_refutation,[],[s232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT361+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n001.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 15:07:12 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.84/6.68  % (3674090)Detected formulas, will run a generic FOF schedule.
% 15.84/6.68  % (3674098)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2553199168:i=109:sd=1:ins=1:gsp=on:ss=axioms_2958 on theBenchmark for (2958ds/109Mi)
% 15.84/6.68  % (3674096)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=494449623:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2958 on theBenchmark for (2958ds/134677Mi)
% 15.84/6.68  % (3674095)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=211131908:i=141193_2958 on theBenchmark for (2958ds/141193Mi)
% 15.84/6.68  % (3674099)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=290985988:i=119:av=off:ss=axioms_2958 on theBenchmark for (2958ds/119Mi)
% 15.84/6.68  % (3674097)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=3076206148:i=141695:sd=1:nm=32:gsp=on:ss=included_2958 on theBenchmark for (2958ds/141695Mi)
% 15.84/6.68  % (3674098)Instruction limit reached! 
% 15.84/6.68  % (3674098)------------------------------
% 15.84/6.68  % (3674098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/6.68  % (3674098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/6.68  % (3674098)CaDiCaL version: 2.1.3
% 15.84/6.68  % (3674098)Termination reason: Instruction limit
% 15.84/6.68  % (3674098)Termination phase: SInE selection
% 15.84/6.68  % (3674098)Time elapsed: 0.051 s
% 15.84/6.68  % (3674098)Peak memory usage: 173 MB
% 15.84/6.68  % (3674098)Instructions burned: 110 (million)
% 15.84/6.68  % (3674100)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1271114616:s2a=on:i=139:gtg=position_2958 on theBenchmark for (2958ds/139Mi)
% 15.84/6.68  % (3674101)dis-21_1_sil=8000:lcm=predicate:random_seed=1691525684:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2958 on theBenchmark for (2958ds/129Mi)
% 15.84/6.68  % (3674100)Instruction limit reached! 
% 15.84/6.68  % (3674100)------------------------------
% 15.84/6.68  % (3674100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/6.68  % (3674100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/6.68  % (3674100)CaDiCaL version: 2.1.3
% 15.84/6.68  % (3674100)Termination reason: Instruction limit
% 15.84/6.68  % (3674100)Termination phase: Property scanning
% 15.84/6.68  % (3674100)Time elapsed: 0.066 s
% 15.84/6.68  % (3674100)Peak memory usage: 173 MB
% 15.84/6.68  % (3674100)Instructions burned: 141 (million)
% 15.84/6.68  % (3674099)Instruction limit reached! 
% 15.84/6.68  % (3674099)------------------------------
% 15.84/6.68  % (3674099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/6.68  % (3674099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/6.68  % (3674099)CaDiCaL version: 2.1.3
% 15.84/6.68  % (3674099)Termination reason: Instruction limit
% 15.84/6.68  % (3674099)Termination phase: SInE selection
% 15.84/6.68  % (3674099)Time elapsed: 0.091 s
% 15.84/6.68  % (3674099)Peak memory usage: 173 MB
% 15.84/6.68  % (3674099)Instructions burned: 120 (million)
% 15.84/6.68  % (3674108)lrs+10_1_sil=8000:sp=occurrence:random_seed=667205769:i=285:sd=3:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/285Mi)
% 15.84/6.68  % (3674101)Instruction limit reached! 
% 15.84/6.68  % (3674101)------------------------------
% 15.84/6.68  % (3674101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/6.68  % (3674101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/6.68  % (3674101)CaDiCaL version: 2.1.3
% 15.84/6.68  % (3674101)Termination reason: Instruction limit
% 15.84/6.68  % (3674101)Termination phase: SInE selection
% 15.84/6.68  % (3674101)Time elapsed: 0.104 s
% 15.84/6.68  % (3674101)Peak memory usage: 173 MB
% 15.84/6.68  % (3674101)Instructions burned: 129 (million)
% 15.84/6.68  % (3674110)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1122956536:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/157Mi)
% 15.84/6.68  % (3674108)Instruction limit reached! 
% 15.84/6.68  % (3674108)------------------------------
% 15.84/6.68  % (3674108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/6.68  % (3674108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/6.68  % (3674108)CaDiCaL version: 2.1.3
% 15.84/6.68  % (3674108)Termination reason: Instruction limit
% 22.49/7.62  % (3674108)Termination phase: SInE selection
% 22.49/7.62  % (3674108)Time elapsed: 0.123 s
% 22.49/7.62  % (3674108)Peak memory usage: 174 MB
% 22.49/7.62  % (3674108)Instructions burned: 286 (million)
% 22.49/7.62  % (3674111)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1558832826:i=325:sd=1:ss=axioms:sgt=32_2956 on theBenchmark for (2956ds/325Mi)
% 22.49/7.62  % (3674113)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=1317767646:s2a=on:i=248:s2at=1.23:gtg=position_2955 on theBenchmark for (2955ds/248Mi)
% 22.49/7.62  % (3674110)Instruction limit reached! 
% 22.49/7.62  % (3674110)------------------------------
% 22.49/7.62  % (3674110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.49/7.62  % (3674110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.49/7.62  % (3674110)CaDiCaL version: 2.1.3
% 22.49/7.62  % (3674110)Termination reason: Instruction limit
% 22.49/7.62  % (3674110)Termination phase: Property scanning
% 22.49/7.62  % (3674110)Time elapsed: 0.074 s
% 22.49/7.62  % (3674110)Peak memory usage: 173 MB
% 22.49/7.62  % (3674110)Instructions burned: 159 (million)
% 22.49/7.62  % (3674115)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=468337032:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2954 on theBenchmark for (2954ds/294Mi)
% 22.49/7.62  % (3674113)Instruction limit reached! 
% 22.49/7.62  % (3674113)------------------------------
% 22.49/7.62  % (3674113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.49/7.62  % (3674113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.49/7.62  % (3674113)CaDiCaL version: 2.1.3
% 22.49/7.62  % (3674113)Termination reason: Instruction limit
% 22.49/7.62  % (3674113)Termination phase: Property scanning
% 22.49/7.62  % (3674113)Time elapsed: 0.113 s
% 22.49/7.62  % (3674113)Peak memory usage: 174 MB
% 22.49/7.62  % (3674113)Instructions burned: 250 (million)
% 22.49/7.62  % (3674118)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2862712430:i=2350_2954 on theBenchmark for (2954ds/2350Mi)
% 22.49/7.62  % (3674115)Instruction limit reached! 
% 22.49/7.62  % (3674115)------------------------------
% 22.49/7.62  % (3674115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.49/7.62  % (3674115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.49/7.62  % (3674115)CaDiCaL version: 2.1.3
% 22.49/7.62  % (3674115)Termination reason: Instruction limit
% 22.49/7.62  % (3674115)Termination phase: SInE selection
% 22.49/7.62  % (3674115)Time elapsed: 0.119 s
% 22.49/7.62  % (3674115)Peak memory usage: 174 MB
% 22.49/7.62  % (3674115)Instructions burned: 297 (million)
% 22.49/7.62  % (3674111)Instruction limit reached! 
% 22.49/7.62  % (3674111)------------------------------
% 22.49/7.62  % (3674111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.49/7.62  % (3674111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.49/7.62  % (3674111)CaDiCaL version: 2.1.3
% 22.49/7.62  % (3674111)Termination reason: Instruction limit
% 22.49/7.62  % (3674111)Termination phase: SInE selection
% 22.49/7.62  % (3674111)Time elapsed: 0.241 s
% 22.49/7.62  % (3674111)Peak memory usage: 174 MB
% 22.49/7.62  % (3674111)Instructions burned: 325 (million)
% 22.49/7.62  % (3674120)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1881998333:cts=off:i=113:fsr=off:ss=included:sgt=4_2953 on theBenchmark for (2953ds/113Mi)
% 22.49/7.62  % (3674122)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1611693126:i=127:av=off:fsr=off:sup=off_2952 on theBenchmark for (2952ds/127Mi)
% 22.49/7.62  % (3674122)Instruction limit reached! 
% 22.49/7.62  % (3674122)------------------------------
% 22.49/7.62  % (3674122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.49/7.62  % (3674122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.49/7.62  % (3674122)CaDiCaL version: 2.1.3
% 22.49/7.62  % (3674122)Termination reason: Instruction limit
% 22.49/7.62  % (3674122)Termination phase: Preprocessing 1
% 22.49/7.62  % (3674122)Time elapsed: 0.058 s
% 22.49/7.62  % (3674122)Peak memory usage: 174 MB
% 22.49/7.62  % (3674122)Instructions burned: 127 (million)
% 22.49/7.62  % (3674120)Instruction limit reached! 
% 22.49/7.62  % (3674120)------------------------------
% 22.49/7.62  % (3674120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.49/7.62  % (3674120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.49/7.62  % (3674120)CaDiCaL version: 2.1.3
% 54.45/12.11  % (3674120)Termination reason: Instruction limit
% 54.45/12.11  % (3674120)Termination phase: SInE selection
% 54.45/12.11  % (3674120)Time elapsed: 0.088 s
% 54.45/12.11  % (3674120)Peak memory usage: 173 MB
% 54.45/12.11  % (3674120)Instructions burned: 113 (million)
% 54.45/12.11  % (3674123)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2020037012:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2952 on theBenchmark for (2952ds/114Mi)
% 54.45/12.11  % (3674123)Instruction limit reached! 
% 54.45/12.11  % (3674123)------------------------------
% 54.45/12.11  % (3674123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.45/12.11  % (3674123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.45/12.11  % (3674123)CaDiCaL version: 2.1.3
% 54.45/12.11  % (3674123)Termination reason: Instruction limit
% 54.45/12.11  % (3674123)Termination phase: Property scanning
% 54.45/12.11  % (3674123)Time elapsed: 0.057 s
% 54.45/12.11  % (3674123)Peak memory usage: 173 MB
% 54.45/12.11  % (3674123)Instructions burned: 115 (million)
% 54.45/12.11  % (3674126)lrs+10_1_sil=8000:sp=occurrence:random_seed=71834909:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2951 on theBenchmark for (2951ds/907Mi)
% 54.45/12.11  % (3674127)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2209186416:i=437:sd=1:aac=none:ss=included_2951 on theBenchmark for (2951ds/437Mi)
% 54.45/12.11  % (3674130)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=622886041:i=5202:ss=axioms:sgt=16_2950 on theBenchmark for (2950ds/5202Mi)
% 54.45/12.11  % (3674127)Instruction limit reached! 
% 54.45/12.11  % (3674127)------------------------------
% 54.45/12.11  % (3674127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.45/12.11  % (3674127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.45/12.11  % (3674127)CaDiCaL version: 2.1.3
% 54.45/12.11  % (3674127)Termination reason: Instruction limit
% 54.45/12.11  % (3674127)Termination phase: Preprocessing 2
% 54.45/12.11  % (3674127)Time elapsed: 0.344 s
% 54.45/12.11  % (3674127)Peak memory usage: 176 MB
% 54.45/12.11  % (3674127)Instructions burned: 437 (million)
% 54.45/12.11  % (3674126)Instruction limit reached! 
% 54.45/12.11  % (3674126)------------------------------
% 54.45/12.11  % (3674126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.45/12.11  % (3674126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.45/12.11  % (3674126)CaDiCaL version: 2.1.3
% 54.45/12.11  % (3674126)Termination reason: Instruction limit
% 54.45/12.11  % (3674126)Termination phase: Preprocessing 2
% 54.45/12.11  % (3674126)Time elapsed: 0.425 s
% 54.45/12.11  % (3674126)Peak memory usage: 188 MB
% 54.45/12.11  % (3674126)Instructions burned: 908 (million)
% 54.45/12.11  % (3674134)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2192187159:st=8:i=592:sd=3:ep=RST:ss=axioms_2945 on theBenchmark for (2945ds/592Mi)
% 54.45/12.11  % (3674133)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3668577693:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2946 on theBenchmark for (2946ds/134Mi)
% 54.45/12.11  % (3674133)Instruction limit reached! 
% 54.45/12.11  % (3674133)------------------------------
% 54.45/12.11  % (3674133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.45/12.11  % (3674133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.45/12.11  % (3674133)CaDiCaL version: 2.1.3
% 54.45/12.11  % (3674133)Termination reason: Instruction limit
% 54.45/12.11  % (3674133)Termination phase: SInE selection
% 54.45/12.11  % (3674133)Time elapsed: 0.109 s
% 54.45/12.11  % (3674133)Peak memory usage: 173 MB
% 54.45/12.11  % (3674133)Instructions burned: 134 (million)
% 54.45/12.11  % (3674134)Instruction limit reached! 
% 54.45/12.11  % (3674134)------------------------------
% 54.45/12.11  % (3674134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.45/12.11  % (3674134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.45/12.11  % (3674134)CaDiCaL version: 2.1.3
% 54.45/12.11  % (3674134)Termination reason: Instruction limit
% 54.45/12.11  % (3674134)Termination phase: SInE selection
% 54.45/12.11  % (3674134)Time elapsed: 0.213 s
% 54.45/12.11  % (3674134)Peak memory usage: 175 MB
% 54.45/12.11  % (3674134)Instructions burned: 594 (million)
% 54.45/12.11  % (3674137)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3272067464:st=3:i=13193:sd=3:ss=axioms_2943 on theBenchmark for (2943ds/13193Mi)
% 54.45/12.11  % (3674138)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=2992666305:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/125Mi)
% 29.80/13.00  % (3674138)Instruction limit reached! 
% 29.80/13.00  % (3674138)------------------------------
% 29.80/13.00  % (3674138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674138)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674138)Termination reason: Instruction limit
% 29.80/13.00  % (3674138)Termination phase: Property scanning
% 29.80/13.00  % (3674138)Time elapsed: 0.034 s
% 29.80/13.00  % (3674138)Peak memory usage: 173 MB
% 29.80/13.00  % (3674138)Instructions burned: 130 (million)
% 29.80/13.00  % (3674141)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4273530857:i=134:gtgl=5:slsql=off:gtg=exists_sym_2941 on theBenchmark for (2941ds/134Mi)
% 29.80/13.00  % (3674141)Instruction limit reached! 
% 29.80/13.00  % (3674141)------------------------------
% 29.80/13.00  % (3674141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674141)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674141)Termination reason: Instruction limit
% 29.80/13.00  % (3674141)Termination phase: Property scanning
% 29.80/13.00  % (3674141)Time elapsed: 0.035 s
% 29.80/13.00  % (3674141)Peak memory usage: 173 MB
% 29.80/13.00  % (3674141)Instructions burned: 137 (million)
% 29.80/13.00  % (3674143)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2500873680:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2940 on theBenchmark for (2940ds/141Mi)
% 29.80/13.00  % (3674143)Instruction limit reached! 
% 29.80/13.00  % (3674143)------------------------------
% 29.80/13.00  % (3674143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674143)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674143)Termination reason: Instruction limit
% 29.80/13.00  % (3674143)Termination phase: SInE selection
% 29.80/13.00  % (3674143)Time elapsed: 0.063 s
% 29.80/13.00  % (3674143)Peak memory usage: 173 MB
% 29.80/13.00  % (3674143)Instructions burned: 142 (million)
% 29.80/13.00  % (3674145)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1692891455:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2938 on theBenchmark for (2938ds/431Mi)
% 29.80/13.00  % (3674145)Instruction limit reached! 
% 29.80/13.00  % (3674145)------------------------------
% 29.80/13.00  % (3674145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674145)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674145)Termination reason: Instruction limit
% 29.80/13.00  % (3674145)Termination phase: Unused predicate definition removal
% 29.80/13.00  % (3674145)Time elapsed: 0.200 s
% 29.80/13.00  % (3674145)Peak memory usage: 177 MB
% 29.80/13.00  % (3674145)Instructions burned: 432 (million)
% 29.80/13.00  % (3674118)Instruction limit reached! 
% 29.80/13.00  % (3674118)------------------------------
% 29.80/13.00  % (3674118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674118)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674118)Termination reason: Instruction limit
% 29.80/13.00  % (3674118)Termination phase: Preprocessing 3
% 29.80/13.00  % (3674118)Time elapsed: 1.766 s
% 29.80/13.00  % (3674118)Peak memory usage: 276 MB
% 29.80/13.00  % (3674118)Instructions burned: 2350 (million)
% 29.80/13.00  % (3674147)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=204373127:i=6060:aac=none:ins=25_2935 on theBenchmark for (2935ds/6060Mi)
% 29.80/13.00  % (3674148)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=2392420568:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2935 on theBenchmark for (2935ds/150Mi)
% 29.80/13.00  % (3674148)Instruction limit reached! 
% 29.80/13.00  % (3674148)------------------------------
% 29.80/13.00  % (3674148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674148)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674148)Termination reason: Instruction limit
% 29.80/13.00  % (3674148)Termination phase: SInE selection
% 29.80/13.00  % (3674148)Time elapsed: 0.115 s
% 29.80/13.00  % (3674148)Peak memory usage: 173 MB
% 29.80/13.00  % (3674148)Instructions burned: 150 (million)
% 29.80/13.00  % (3674151)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1483612369:i=14155:bd=all_2932 on theBenchmark for (2932ds/14155Mi)
% 29.80/13.00  % (3674130)Instruction limit reached! 
% 29.80/13.00  % (3674130)------------------------------
% 29.80/13.00  % (3674130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674130)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674130)Termination reason: Instruction limit
% 29.80/13.00  % (3674130)Termination phase: Property scanning
% 29.80/13.00  % (3674130)Time elapsed: 3.301 s
% 29.80/13.00  % (3674130)Peak memory usage: 296 MB
% 29.80/13.00  % (3674130)Instructions burned: 5204 (million)
% 29.80/13.00  % (3674153)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=344736257:i=667:av=off:fsr=off_2915 on theBenchmark for (2915ds/667Mi)
% 29.80/13.00  % (3674153)Instruction limit reached! 
% 29.80/13.00  % (3674153)------------------------------
% 29.80/13.00  % (3674153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674153)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674153)Termination reason: Instruction limit
% 29.80/13.00  % (3674153)Termination phase: Preprocessing 2
% 29.80/13.00  % (3674153)Time elapsed: 0.585 s
% 29.80/13.00  % (3674153)Peak memory usage: 215 MB
% 29.80/13.00  % (3674153)Instructions burned: 667 (million)
% 29.80/13.00  % (3674147)Instruction limit reached! 
% 29.80/13.00  % (3674147)------------------------------
% 29.80/13.00  % (3674147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674147)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674147)Termination reason: Instruction limit
% 29.80/13.00  % (3674147)Termination phase: NewCNF
% 29.80/13.00  % (3674147)Time elapsed: 2.682 s
% 29.80/13.00  % (3674147)Peak memory usage: 331 MB
% 29.80/13.00  % (3674147)Instructions burned: 6061 (million)
% 29.80/13.00  % (3674156)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=29740334:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2907 on theBenchmark for (2907ds/193Mi)
% 29.80/13.00  % (3674155)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=3342433957:s2a=on:i=185:s2at=1.8:fdi=4_2908 on theBenchmark for (2908ds/185Mi)
% 29.80/13.00  % (3674156)Instruction limit reached! 
% 29.80/13.00  % (3674156)------------------------------
% 29.80/13.00  % (3674156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674156)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674156)Termination reason: Instruction limit
% 29.80/13.00  % (3674156)Termination phase: SInE selection
% 29.80/13.00  % (3674156)Time elapsed: 0.085 s
% 29.80/13.00  % (3674156)Peak memory usage: 173 MB
% 29.80/13.00  % (3674156)Instructions burned: 194 (million)
% 29.80/13.00  % (3674155)Instruction limit reached! 
% 29.80/13.00  % (3674155)------------------------------
% 29.80/13.00  % (3674155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674155)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674155)Termination reason: Instruction limit
% 29.80/13.00  % (3674155)Termination phase: SInE selection
% 29.80/13.00  % (3674155)Time elapsed: 0.142 s
% 29.80/13.00  % (3674155)Peak memory usage: 173 MB
% 29.80/13.00  % (3674155)Instructions burned: 185 (million)
% 29.80/13.00  % (3674159)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1160287306:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2906 on theBenchmark for (2906ds/4850Mi)
% 29.80/13.00  % (3674160)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2445307892:i=12111:sd=1:ss=included_2905 on theBenchmark for (2905ds/12111Mi)
% 29.80/13.00  % (3674159)Instruction limit reached! 
% 29.80/13.00  % (3674159)------------------------------
% 29.80/13.00  % (3674159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674159)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674159)Termination reason: Instruction limit
% 29.80/13.00  % (3674159)Termination phase: Function definition elimination
% 29.80/13.00  % (3674159)Time elapsed: 1.751 s
% 29.80/13.00  % (3674159)Peak memory usage: 297 MB
% 29.80/13.00  % (3674159)Instructions burned: 4852 (million)
% 29.80/13.00  % (3674163)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2937587492:i=319:kws=precedence:fsr=off_2887 on theBenchmark for (2887ds/319Mi)
% 29.80/13.00  % (3674163)Instruction limit reached! 
% 29.80/13.00  % (3674163)------------------------------
% 29.80/13.00  % (3674163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/13.00  % (3674163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/13.00  % (3674163)CaDiCaL version: 2.1.3
% 29.80/13.00  % (3674163)Termination reason: Instruction limit
% 29.80/13.00  % (3674163)Termination phase: Preprocessing 1
% 29.80/13.00  % (3674163)Time elapsed: 0.136 s
% 29.80/13.00  % (3674163)Peak memory usage: 175 MB
% 29.80/13.00  % (3674163)Instructions burned: 321 (million)
% 29.80/13.00  % (3674165)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4030595909:i=2064:ep=RST_2885 on theBenchmark for (2885ds/2064Mi)
% 29.80/13.00  % (3674096)First to succeed.
% 29.80/13.00  % (3674096)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3674090"
% 29.80/13.00  % (3674096)Refutation found. Thanks to Tanya!
% 29.80/13.00  % SZS status Theorem for theBenchmark
% 29.80/13.00  % SZS output start Proof for theBenchmark
% See solution above
% 60.95/13.12  % (3674096)------------------------------
% 60.95/13.12  % (3674096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.95/13.12  % (3674096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.95/13.12  % (3674096)CaDiCaL version: 2.1.3
% 60.95/13.12  % (3674096)Termination reason: Refutation
% 60.95/13.12  % (3674096)Time elapsed: 7.426 s
% 60.95/13.12  % (3674096)Peak memory usage: 494 MB
% 60.95/13.12  % (3674096)Instructions burned: 12503 (million)
% 60.95/13.12  % (3674096)------------------------------
% 60.95/13.12  % (3674096)------------------------------
% 60.95/13.12  % (3674090)Success in time 12.123 s
% 60.95/13.12  % Vampire exiting
%------------------------------------------------------------------------------