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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : TOP047+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 : n019.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 02:34:06 PM UTC 2026

% Result   : Theorem 23.95s 8.62s
% Output   : Refutation 32.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  206 (  29 unt;   8 def)
%            Number of atoms       :  937 ( 129 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives : 1266 ( 535   ~; 563   |; 122   &)
%                                         (   9 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   24 (  22 usr;   9 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-2 aty)
%            Number of variables   :  169 (   0 sgn 165   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( r1_tarski(X0,X1)
        & r1_tarski(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f18320,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => ( v1_pre_topc(X0)
       => X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).

fof(f19627,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).

fof(f28605,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( v2_lattice3(X0)
       => ~ v3_struct_0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).

fof(f28622,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => k7_lattice3(k7_lattice3(X0)) = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_lattice3) ).

fof(f40107,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_yellow_1) ).

fof(f41166,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0)
        & m4_yellow_6(X1,X0) )
     => ( ~ v3_struct_0(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc24_yellow_6) ).

fof(f41167,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0)
        & m4_yellow_6(X1,X0) )
     => ( ~ v3_struct_0(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1))
        & v2_pre_topc(k14_yellow_6(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc25_yellow_6) ).

fof(f41271,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0)
        & m4_yellow_6(X1,X0) )
     => ( v1_pre_topc(k14_yellow_6(X0,X1))
        & l1_pre_topc(k14_yellow_6(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_yellow_6) ).

fof(f41370,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( l1_orders_2(X1)
         => ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
              & v2_lattice3(X0) )
           => v2_lattice3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_yellow_7) ).

fof(f41575,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( l1_orders_2(X1)
         => ~ ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
              & ~ v3_struct_0(X0)
              & v3_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_waybel_8) ).

fof(f41576,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_orders_2(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & l1_orders_2(X1) )
         => ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
              & v2_orders_2(X0) )
           => v2_orders_2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_waybel_8) ).

fof(f41577,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( l1_orders_2(X1)
         => ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
              & v3_orders_2(X0) )
           => v3_orders_2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_waybel_8) ).

fof(f41578,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( l1_orders_2(X1)
         => ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
              & v4_orders_2(X0) )
           => v4_orders_2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_waybel_8) ).

fof(f51019,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_orders_2(X0) )
     => k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_waybel28) ).

fof(f51037,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_orders_2(X0) )
     => m4_yellow_6(k3_waybel28(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel28) ).

fof(f52675,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( v3_struct_0(X0)
       => ( v2_orders_2(X0)
          & v3_orders_2(X0)
          & v4_orders_2(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_orders_4) ).

fof(f55493,axiom,
    ! [X0] :
      ( ( v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0)
        & v24_waybel_0(X0)
        & v25_waybel_0(X0)
        & v2_lattice3(X0)
        & l1_orders_2(X0) )
     => ! [X1] :
          ( ( v2_orders_2(X1)
            & v3_orders_2(X1)
            & v4_orders_2(X1)
            & v24_waybel_0(X1)
            & v25_waybel_0(X1)
            & v2_lattice3(X1)
            & l1_orders_2(X1) )
         => ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
           => r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_waybel33) ).

fof(f55494,conjecture,
    ! [X0] :
      ( ( v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0)
        & v24_waybel_0(X0)
        & v25_waybel_0(X0)
        & v2_lattice3(X0)
        & l1_orders_2(X0) )
     => ! [X1] :
          ( ( v2_orders_2(X1)
            & v3_orders_2(X1)
            & v4_orders_2(X1)
            & v24_waybel_0(X1)
            & v25_waybel_0(X1)
            & v2_lattice3(X1)
            & l1_orders_2(X1) )
         => ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
           => k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel33) ).

fof(f55495,negated_conjecture,
    ~ ! [X0] :
        ( ( v2_orders_2(X0)
          & v3_orders_2(X0)
          & v4_orders_2(X0)
          & v24_waybel_0(X0)
          & v25_waybel_0(X0)
          & v2_lattice3(X0)
          & l1_orders_2(X0) )
       => ! [X1] :
            ( ( v2_orders_2(X1)
              & v3_orders_2(X1)
              & v4_orders_2(X1)
              & v24_waybel_0(X1)
              & v25_waybel_0(X1)
              & v2_lattice3(X1)
              & l1_orders_2(X1) )
           => ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
             => k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f55494]) ).

fof(f55655,plain,
    ! [X0] :
      ( ! [X1] :
          ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v24_waybel_0(X1)
          | ~ v25_waybel_0(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v24_waybel_0(X0)
      | ~ v25_waybel_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f55493]) ).

fof(f55656,plain,
    ! [X0] :
      ( ! [X1] :
          ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v2_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v4_orders_2(X1)
          | ~ v24_waybel_0(X1)
          | ~ v25_waybel_0(X1)
          | ~ v2_lattice3(X1)
          | ~ l1_orders_2(X1) )
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v24_waybel_0(X0)
      | ~ v25_waybel_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55655]) ).

fof(f55657,plain,
    ? [X0] :
      ( ? [X1] :
          ( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
          & g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          & v2_orders_2(X1)
          & v3_orders_2(X1)
          & v4_orders_2(X1)
          & v24_waybel_0(X1)
          & v25_waybel_0(X1)
          & v2_lattice3(X1)
          & l1_orders_2(X1) )
      & v2_orders_2(X0)
      & v3_orders_2(X0)
      & v4_orders_2(X0)
      & v24_waybel_0(X0)
      & v25_waybel_0(X0)
      & v2_lattice3(X0)
      & l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f55495]) ).

fof(f55658,plain,
    ? [X0] :
      ( ? [X1] :
          ( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
          & g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          & v2_orders_2(X1)
          & v3_orders_2(X1)
          & v4_orders_2(X1)
          & v24_waybel_0(X1)
          & v25_waybel_0(X1)
          & v2_lattice3(X1)
          & l1_orders_2(X1) )
      & v2_orders_2(X0)
      & v3_orders_2(X0)
      & v4_orders_2(X0)
      & v24_waybel_0(X0)
      & v25_waybel_0(X0)
      & v2_lattice3(X0)
      & l1_orders_2(X0) ),
    inference(flattening,[],[f55657]) ).

fof(f55673,plain,
    ! [X0] :
      ( ( v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0) )
      | ~ v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f52675]) ).

fof(f55674,plain,
    ! [X0] :
      ( ( v2_orders_2(X0)
        & v3_orders_2(X0)
        & v4_orders_2(X0) )
      | ~ v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55673]) ).

fof(f55717,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f28605]) ).

fof(f55718,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55717]) ).

fof(f55810,plain,
    ! [X0] :
      ( ! [X1] :
          ( v4_orders_2(X1)
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v4_orders_2(X0)
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f41578]) ).

fof(f55811,plain,
    ! [X0] :
      ( ! [X1] :
          ( v4_orders_2(X1)
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v4_orders_2(X0)
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55810]) ).

fof(f55812,plain,
    ! [X0] :
      ( ! [X1] :
          ( v3_orders_2(X1)
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v3_orders_2(X0)
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f41577]) ).

fof(f55813,plain,
    ! [X0] :
      ( ! [X1] :
          ( v3_orders_2(X1)
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v3_orders_2(X0)
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55812]) ).

fof(f55814,plain,
    ! [X0] :
      ( ! [X1] :
          ( v2_orders_2(X1)
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v2_orders_2(X0)
          | v3_struct_0(X1)
          | ~ l1_orders_2(X1) )
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f41576]) ).

fof(f55815,plain,
    ! [X0] :
      ( ! [X1] :
          ( v2_orders_2(X1)
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v2_orders_2(X0)
          | v3_struct_0(X1)
          | ~ l1_orders_2(X1) )
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55814]) ).

fof(f55816,plain,
    ! [X0] :
      ( ! [X1] :
          ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | v3_struct_0(X0)
          | ~ v3_struct_0(X1)
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f41575]) ).

fof(f55817,plain,
    ! [X0] :
      ( ! [X1] :
          ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | v3_struct_0(X0)
          | ~ v3_struct_0(X1)
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55816]) ).

fof(f55834,plain,
    ! [X0] :
      ( ! [X1] :
          ( v2_lattice3(X1)
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v2_lattice3(X0)
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f41370]) ).

fof(f55835,plain,
    ! [X0] :
      ( ! [X1] :
          ( v2_lattice3(X1)
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ v2_lattice3(X0)
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55834]) ).

fof(f55887,plain,
    ! [X0] :
      ( k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f51019]) ).

fof(f55888,plain,
    ! [X0] :
      ( k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f55887]) ).

fof(f55966,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f19627]) ).

fof(f56113,plain,
    ! [X0] :
      ( m4_yellow_6(k3_waybel28(X0),X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f51037]) ).

fof(f56114,plain,
    ! [X0] :
      ( m4_yellow_6(k3_waybel28(X0),X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f56113]) ).

fof(f56139,plain,
    ! [X0,X1] :
      ( ( v1_pre_topc(k14_yellow_6(X0,X1))
        & l1_pre_topc(k14_yellow_6(X0,X1)) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(ennf_transformation,[],[f41271]) ).

fof(f56140,plain,
    ! [X0,X1] :
      ( ( v1_pre_topc(k14_yellow_6(X0,X1))
        & l1_pre_topc(k14_yellow_6(X0,X1)) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(flattening,[],[f56139]) ).

fof(f56141,plain,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1))
        & v2_pre_topc(k14_yellow_6(X0,X1)) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(ennf_transformation,[],[f41167]) ).

fof(f56142,plain,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1))
        & v2_pre_topc(k14_yellow_6(X0,X1)) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(flattening,[],[f56141]) ).

fof(f56143,plain,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1)) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(ennf_transformation,[],[f41166]) ).

fof(f56144,plain,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1)) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(flattening,[],[f56143]) ).

fof(f56744,plain,
    ! [X0] :
      ( X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
      | ~ v1_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f18320]) ).

fof(f56745,plain,
    ! [X0] :
      ( X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
      | ~ v1_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f56744]) ).

fof(f59287,plain,
    ! [X0] :
      ( k7_lattice3(k7_lattice3(X0)) = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f28622]) ).

fof(f62434,plain,
    ! [X0] :
      ( k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0)
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f40107]) ).

fof(f62435,plain,
    ! [X0] :
      ( k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0)
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f62434]) ).

fof(f65115,plain,
    ( k14_yellow_6(sK66,k3_waybel28(sK66)) != k14_yellow_6(sK67,k3_waybel28(sK67))
    & g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66)) = g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
    & v2_orders_2(sK67)
    & v3_orders_2(sK67)
    & v4_orders_2(sK67)
    & v24_waybel_0(sK67)
    & v25_waybel_0(sK67)
    & v2_lattice3(sK67)
    & l1_orders_2(sK67)
    & v2_orders_2(sK66)
    & v3_orders_2(sK66)
    & v4_orders_2(sK66)
    & v24_waybel_0(sK66)
    & v25_waybel_0(sK66)
    & v2_lattice3(sK66)
    & l1_orders_2(sK66) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK66,sK67]),skolemize(X0,sK66),skolemize(X1,sK67)],[f55658]) ).

fof(f65234,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ r1_tarski(X0,X1)
        | ~ r1_tarski(X1,X0) )
      & ( ( r1_tarski(X0,X1)
          & r1_tarski(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f65235,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ r1_tarski(X0,X1)
        | ~ r1_tarski(X1,X0) )
      & ( ( r1_tarski(X0,X1)
          & r1_tarski(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f65234]) ).

fof(f67873,plain,
    ! [X0,X1] :
      ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v24_waybel_0(X1)
      | ~ v25_waybel_0(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v24_waybel_0(X0)
      | ~ v25_waybel_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55656]) ).

fof(f67874,plain,
    l1_orders_2(sK66),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67875,plain,
    v2_lattice3(sK66),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67876,plain,
    v25_waybel_0(sK66),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67877,plain,
    v24_waybel_0(sK66),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67878,plain,
    v4_orders_2(sK66),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67879,plain,
    v3_orders_2(sK66),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67880,plain,
    v2_orders_2(sK66),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67881,plain,
    l1_orders_2(sK67),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67882,plain,
    v2_lattice3(sK67),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67883,plain,
    v25_waybel_0(sK67),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67884,plain,
    v24_waybel_0(sK67),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67885,plain,
    v4_orders_2(sK67),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67886,plain,
    v3_orders_2(sK67),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67887,plain,
    v2_orders_2(sK67),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67888,plain,
    g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66)) = g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67)),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67889,plain,
    k14_yellow_6(sK66,k3_waybel28(sK66)) != k14_yellow_6(sK67,k3_waybel28(sK67)),
    inference(cnf_transformation,[],[f65115]) ).

fof(f67920,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | v2_orders_2(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55674]) ).

fof(f68015,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55718]) ).

fof(f68276,plain,
    ! [X0,X1] :
      ( ~ v4_orders_2(X0)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | v4_orders_2(X1)
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55811]) ).

fof(f68277,plain,
    ! [X0,X1] :
      ( ~ v3_orders_2(X0)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | v3_orders_2(X1)
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55813]) ).

fof(f68278,plain,
    ! [X0,X1] :
      ( v2_orders_2(X1)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ v2_orders_2(X0)
      | v3_struct_0(X1)
      | ~ l1_orders_2(X1)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55815]) ).

fof(f68279,plain,
    ! [X0,X1] :
      ( ~ v3_struct_0(X1)
      | v3_struct_0(X0)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55817]) ).

fof(f68300,plain,
    ! [X0,X1] :
      ( ~ v2_lattice3(X0)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55835]) ).

fof(f68361,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | v3_struct_0(X0)
      | k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) ),
    inference(cnf_transformation,[],[f55888]) ).

fof(f68654,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f55966]) ).

fof(f68740,plain,
    ! [X0,X1] :
      ( ~ r1_tarski(X1,X0)
      | ~ r1_tarski(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f65235]) ).

fof(f68920,plain,
    ! [X0] :
      ( m4_yellow_6(k3_waybel28(X0),X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f56114]) ).

fof(f68951,plain,
    ! [X0,X1] :
      ( l1_pre_topc(k14_yellow_6(X0,X1))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(cnf_transformation,[],[f56140]) ).

fof(f68953,plain,
    ! [X0,X1] :
      ( v2_pre_topc(k14_yellow_6(X0,X1))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(cnf_transformation,[],[f56142]) ).

fof(f68956,plain,
    ! [X0,X1] :
      ( v1_pre_topc(k14_yellow_6(X0,X1))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(cnf_transformation,[],[f56144]) ).

fof(f68957,plain,
    ! [X0,X1] :
      ( ~ v3_struct_0(k14_yellow_6(X0,X1))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(cnf_transformation,[],[f56144]) ).

fof(f69934,plain,
    ! [X0] :
      ( ~ v1_pre_topc(X0)
      | g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f56745]) ).

fof(f73882,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = k7_lattice3(k7_lattice3(X0)) ),
    inference(cnf_transformation,[],[f59287]) ).

fof(f78168,plain,
    ! [X0] :
      ( ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | u1_struct_0(X0) = k4_yellow_0(k2_yellow_1(u1_pre_topc(X0)))
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f62435]) ).

fof(f86187,plain,
    ! [X0,X1] :
      ( v2_orders_2(X1)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ v2_orders_2(X0)
      | v3_struct_0(X1)
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(forward_subsumption_resolution,[],[f68278,f68279]) ).

fof(f86204,plain,
    ! [X0,X1] :
      ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v24_waybel_0(X1)
      | ~ v25_waybel_0(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v2_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v24_waybel_0(X0)
      | ~ v25_waybel_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(forward_subsumption_resolution,[],[f67873,f68277]) ).

fof(f86590,plain,
    ! [X0,X1] :
      ( ~ v2_orders_2(X0)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | v2_orders_2(X1)
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(forward_subsumption_resolution,[],[f86187,f67920]) ).

fof(f86598,plain,
    ! [X0,X1] :
      ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v24_waybel_0(X1)
      | ~ v25_waybel_0(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v2_orders_2(X0)
      | ~ v24_waybel_0(X0)
      | ~ v25_waybel_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(forward_subsumption_resolution,[],[f86204,f68276]) ).

fof(f86800,plain,
    ! [X0,X1] :
      ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v24_waybel_0(X1)
      | ~ v25_waybel_0(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v24_waybel_0(X0)
      | ~ v25_waybel_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(forward_subsumption_resolution,[],[f86598,f86590]) ).

fof(f86937,plain,
    ! [X0,X1] :
      ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v24_waybel_0(X1)
      | ~ v25_waybel_0(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v24_waybel_0(X0)
      | ~ v25_waybel_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(forward_subsumption_resolution,[],[f86800,f68300]) ).

fof(f87625,plain,
    g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66)) = k7_lattice3(k7_lattice3(sK66)),
    inference(resolution,[],[f73882,f67874]) ).

fof(f87641,plain,
    ( v3_struct_0(sK66)
    | k4_waybel28(sK66) = u1_pre_topc(k14_yellow_6(sK66,k3_waybel28(sK66))) ),
    inference(resolution,[],[f68361,f67874]) ).

fof(f87642,plain,
    ( v3_struct_0(sK67)
    | k4_waybel28(sK67) = u1_pre_topc(k14_yellow_6(sK67,k3_waybel28(sK67))) ),
    inference(resolution,[],[f68361,f67881]) ).

fof(f87644,definition,
    ( spl1828_49
  <=> k4_waybel28(sK67) = u1_pre_topc(k14_yellow_6(sK67,k3_waybel28(sK67))) ),
    introduced(definition,[new_symbols(definition,[spl1828_49])],[avatar_definition]) ).

fof(f87645,plain,
    ( k4_waybel28(sK67) = u1_pre_topc(k14_yellow_6(sK67,k3_waybel28(sK67)))
    | ~ spl1828_49 ),
    inference(avatar_component_clause,[],[f87644]) ).

fof(f87647,definition,
    ( spl1828_50
  <=> v3_struct_0(sK67) ),
    introduced(definition,[new_symbols(definition,[spl1828_50])],[avatar_definition]) ).

fof(f87648,plain,
    ( v3_struct_0(sK67)
    | ~ spl1828_50 ),
    inference(avatar_component_clause,[],[f87647]) ).

fof(f87649,plain,
    ( spl1828_49
    | spl1828_50 ),
    inference(avatar_split_clause,[],[f87642,f87647,f87644]) ).

fof(f87651,definition,
    ( spl1828_51
  <=> k4_waybel28(sK66) = u1_pre_topc(k14_yellow_6(sK66,k3_waybel28(sK66))) ),
    introduced(definition,[new_symbols(definition,[spl1828_51])],[avatar_definition]) ).

fof(f87652,plain,
    ( k4_waybel28(sK66) = u1_pre_topc(k14_yellow_6(sK66,k3_waybel28(sK66)))
    | ~ spl1828_51 ),
    inference(avatar_component_clause,[],[f87651]) ).

fof(f87654,definition,
    ( spl1828_52
  <=> v3_struct_0(sK66) ),
    introduced(definition,[new_symbols(definition,[spl1828_52])],[avatar_definition]) ).

fof(f87655,plain,
    ( v3_struct_0(sK66)
    | ~ spl1828_52 ),
    inference(avatar_component_clause,[],[f87654]) ).

fof(f87656,plain,
    ( spl1828_51
    | spl1828_52 ),
    inference(avatar_split_clause,[],[f87641,f87654,f87651]) ).

fof(f87667,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
        | ~ v2_orders_2(sK67)
        | ~ v3_orders_2(sK67)
        | ~ v4_orders_2(sK67)
        | ~ v24_waybel_0(sK67)
        | ~ v25_waybel_0(sK67)
        | ~ v2_lattice3(sK67)
        | ~ l1_orders_2(sK67)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(superposition,[],[f86937,f87645]) ).

fof(f87669,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | ~ v2_orders_2(sK66)
        | ~ v3_orders_2(sK66)
        | ~ v4_orders_2(sK66)
        | ~ v24_waybel_0(sK66)
        | ~ v25_waybel_0(sK66)
        | ~ v2_lattice3(sK66)
        | ~ l1_orders_2(sK66)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(superposition,[],[f86937,f87652]) ).

fof(f87710,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
        | ~ v3_orders_2(sK67)
        | ~ v4_orders_2(sK67)
        | ~ v24_waybel_0(sK67)
        | ~ v25_waybel_0(sK67)
        | ~ v2_lattice3(sK67)
        | ~ l1_orders_2(sK67)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_subsumption_resolution,[],[f87667,f67887]) ).

fof(f87712,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | ~ v3_orders_2(sK66)
        | ~ v4_orders_2(sK66)
        | ~ v24_waybel_0(sK66)
        | ~ v25_waybel_0(sK66)
        | ~ v2_lattice3(sK66)
        | ~ l1_orders_2(sK66)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f87669,f67880]) ).

fof(f87730,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
        | ~ v4_orders_2(sK67)
        | ~ v24_waybel_0(sK67)
        | ~ v25_waybel_0(sK67)
        | ~ v2_lattice3(sK67)
        | ~ l1_orders_2(sK67)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_subsumption_resolution,[],[f87710,f67886]) ).

fof(f87732,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | ~ v4_orders_2(sK66)
        | ~ v24_waybel_0(sK66)
        | ~ v25_waybel_0(sK66)
        | ~ v2_lattice3(sK66)
        | ~ l1_orders_2(sK66)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f87712,f67879]) ).

fof(f87743,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
        | ~ v24_waybel_0(sK67)
        | ~ v25_waybel_0(sK67)
        | ~ v2_lattice3(sK67)
        | ~ l1_orders_2(sK67)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_subsumption_resolution,[],[f87730,f67885]) ).

fof(f87745,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | ~ v24_waybel_0(sK66)
        | ~ v25_waybel_0(sK66)
        | ~ v2_lattice3(sK66)
        | ~ l1_orders_2(sK66)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f87732,f67878]) ).

fof(f87749,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
        | ~ v25_waybel_0(sK67)
        | ~ v2_lattice3(sK67)
        | ~ l1_orders_2(sK67)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_subsumption_resolution,[],[f87743,f67884]) ).

fof(f87751,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | ~ v25_waybel_0(sK66)
        | ~ v2_lattice3(sK66)
        | ~ l1_orders_2(sK66)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f87745,f67877]) ).

fof(f87755,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
        | ~ v2_lattice3(sK67)
        | ~ l1_orders_2(sK67)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_subsumption_resolution,[],[f87749,f67883]) ).

fof(f87757,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | ~ v2_lattice3(sK66)
        | ~ l1_orders_2(sK66)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f87751,f67876]) ).

fof(f87760,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
        | ~ l1_orders_2(sK67)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_subsumption_resolution,[],[f87755,f67882]) ).

fof(f87762,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | ~ l1_orders_2(sK66)
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f87757,f67875]) ).

fof(f87764,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67))
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_subsumption_resolution,[],[f87760,f67881]) ).

fof(f87766,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f87762,f67874]) ).

fof(f87768,plain,
    ( ! [X0] :
        ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66))
        | r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_demodulation,[],[f87764,f67888]) ).

fof(f87770,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK66))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK66))
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_51 ),
    inference(forward_demodulation,[],[f87766,f87625]) ).

fof(f87772,plain,
    ( ! [X0] :
        ( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK67))
        | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK66))
        | ~ v24_waybel_0(X0)
        | ~ v25_waybel_0(X0)
        | ~ l1_orders_2(X0) )
    | ~ spl1828_49 ),
    inference(forward_demodulation,[],[f87768,f87625]) ).

fof(f87905,plain,
    ( ~ v2_lattice3(sK66)
    | ~ l1_orders_2(sK66)
    | ~ spl1828_52 ),
    inference(resolution,[],[f87655,f68015]) ).

fof(f87907,plain,
    ( ~ l1_orders_2(sK66)
    | ~ spl1828_52 ),
    inference(forward_subsumption_resolution,[],[f87905,f67875]) ).

fof(f87908,plain,
    ( $false
    | ~ spl1828_52 ),
    inference(forward_subsumption_resolution,[],[f87907,f67874]) ).

fof(f87909,plain,
    ~ spl1828_52,
    inference(avatar_contradiction_clause,[],[f87908]) ).

fof(f87911,plain,
    ( ~ v2_lattice3(sK67)
    | ~ l1_orders_2(sK67)
    | ~ spl1828_50 ),
    inference(resolution,[],[f87648,f68015]) ).

fof(f87913,plain,
    ( ~ l1_orders_2(sK67)
    | ~ spl1828_50 ),
    inference(forward_subsumption_resolution,[],[f87911,f67882]) ).

fof(f87914,plain,
    ( $false
    | ~ spl1828_50 ),
    inference(forward_subsumption_resolution,[],[f87913,f67881]) ).

fof(f87915,plain,
    ~ spl1828_50,
    inference(avatar_contradiction_clause,[],[f87914]) ).

fof(f88045,plain,
    ( r1_tarski(k4_waybel28(sK66),k4_waybel28(sK67))
    | g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66)) != k7_lattice3(k7_lattice3(sK66))
    | ~ v24_waybel_0(sK66)
    | ~ v25_waybel_0(sK66)
    | ~ l1_orders_2(sK66)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(superposition,[],[f87772,f87652]) ).

fof(f88046,plain,
    ( r1_tarski(k4_waybel28(sK66),k4_waybel28(sK67))
    | ~ v24_waybel_0(sK66)
    | ~ v25_waybel_0(sK66)
    | ~ l1_orders_2(sK66)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f88045,f73882]) ).

fof(f88047,plain,
    ( r1_tarski(k4_waybel28(sK66),k4_waybel28(sK67))
    | ~ v25_waybel_0(sK66)
    | ~ l1_orders_2(sK66)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f88046,f67877]) ).

fof(f88048,plain,
    ( r1_tarski(k4_waybel28(sK66),k4_waybel28(sK67))
    | ~ l1_orders_2(sK66)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f88047,f67876]) ).

fof(f88049,plain,
    ( r1_tarski(k4_waybel28(sK66),k4_waybel28(sK67))
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f88048,f67874]) ).

fof(f88340,plain,
    ( r1_tarski(k4_waybel28(sK67),k4_waybel28(sK66))
    | g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67)) != k7_lattice3(k7_lattice3(sK66))
    | ~ v24_waybel_0(sK67)
    | ~ v25_waybel_0(sK67)
    | ~ l1_orders_2(sK67)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(superposition,[],[f87770,f87645]) ).

fof(f88342,plain,
    ( r1_tarski(k4_waybel28(sK67),k4_waybel28(sK66))
    | g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67)) != k7_lattice3(k7_lattice3(sK66))
    | ~ v25_waybel_0(sK67)
    | ~ l1_orders_2(sK67)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f88340,f67884]) ).

fof(f88343,plain,
    ( r1_tarski(k4_waybel28(sK67),k4_waybel28(sK66))
    | g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67)) != k7_lattice3(k7_lattice3(sK66))
    | ~ l1_orders_2(sK67)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f88342,f67883]) ).

fof(f88344,plain,
    ( r1_tarski(k4_waybel28(sK67),k4_waybel28(sK66))
    | g1_orders_2(u1_struct_0(sK67),u1_orders_2(sK67)) != k7_lattice3(k7_lattice3(sK66))
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f88343,f67881]) ).

fof(f88345,plain,
    ( g1_orders_2(u1_struct_0(sK66),u1_orders_2(sK66)) != k7_lattice3(k7_lattice3(sK66))
    | r1_tarski(k4_waybel28(sK67),k4_waybel28(sK66))
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_demodulation,[],[f88344,f67888]) ).

fof(f88346,plain,
    ( r1_tarski(k4_waybel28(sK67),k4_waybel28(sK66))
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f88345,f87625]) ).

fof(f88911,plain,
    ! [X0,X1] :
      ( v3_struct_0(k14_yellow_6(X0,X1))
      | u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
      | ~ l1_pre_topc(k14_yellow_6(X0,X1))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(resolution,[],[f78168,f68953]) ).

fof(f88912,plain,
    ! [X0,X1] :
      ( u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
      | ~ l1_pre_topc(k14_yellow_6(X0,X1))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f88911,f68957]) ).

fof(f88913,plain,
    ! [X0,X1] :
      ( ~ l1_struct_0(X0)
      | v3_struct_0(X0)
      | u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
      | ~ m4_yellow_6(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f88912,f68951]) ).

fof(f88914,plain,
    ! [X0,X1] :
      ( ~ m4_yellow_6(X1,X0)
      | u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(resolution,[],[f88913,f68654]) ).

fof(f88915,plain,
    ! [X0] :
      ( u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))))
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(resolution,[],[f88914,f68920]) ).

fof(f88916,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | v3_struct_0(X0)
      | u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))) ),
    inference(duplicate_literal_removal,[],[f88915]) ).

fof(f88917,plain,
    ( v3_struct_0(sK66)
    | u1_struct_0(k14_yellow_6(sK66,k3_waybel28(sK66))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(sK66,k3_waybel28(sK66))))) ),
    inference(resolution,[],[f88916,f67874]) ).

fof(f88918,plain,
    ( v3_struct_0(sK67)
    | u1_struct_0(k14_yellow_6(sK67,k3_waybel28(sK67))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(sK67,k3_waybel28(sK67))))) ),
    inference(resolution,[],[f88916,f67881]) ).

fof(f88923,plain,
    ( u1_struct_0(k14_yellow_6(sK67,k3_waybel28(sK67))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK67)))
    | v3_struct_0(sK67)
    | ~ spl1828_49 ),
    inference(forward_demodulation,[],[f88918,f87645]) ).

fof(f88924,plain,
    ( u1_struct_0(k14_yellow_6(sK66,k3_waybel28(sK66))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK66)))
    | v3_struct_0(sK66)
    | ~ spl1828_51 ),
    inference(forward_demodulation,[],[f88917,f87652]) ).

fof(f88934,definition,
    ( spl1828_98
  <=> u1_struct_0(k14_yellow_6(sK67,k3_waybel28(sK67))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK67))) ),
    introduced(definition,[new_symbols(definition,[spl1828_98])],[avatar_definition]) ).

fof(f88935,plain,
    ( u1_struct_0(k14_yellow_6(sK67,k3_waybel28(sK67))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK67)))
    | ~ spl1828_98 ),
    inference(avatar_component_clause,[],[f88934]) ).

fof(f88936,plain,
    ( spl1828_50
    | spl1828_98
    | ~ spl1828_49 ),
    inference(avatar_split_clause,[],[f88923,f87644,f88934,f87647]) ).

fof(f88938,definition,
    ( spl1828_99
  <=> u1_struct_0(k14_yellow_6(sK66,k3_waybel28(sK66))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK66))) ),
    introduced(definition,[new_symbols(definition,[spl1828_99])],[avatar_definition]) ).

fof(f88939,plain,
    ( u1_struct_0(k14_yellow_6(sK66,k3_waybel28(sK66))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK66)))
    | ~ spl1828_99 ),
    inference(avatar_component_clause,[],[f88938]) ).

fof(f88940,plain,
    ( spl1828_52
    | spl1828_99
    | ~ spl1828_51 ),
    inference(avatar_split_clause,[],[f88924,f87651,f88938,f87654]) ).

fof(f89120,plain,
    ( ~ r1_tarski(k4_waybel28(sK67),k4_waybel28(sK66))
    | k4_waybel28(sK66) = k4_waybel28(sK67)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(resolution,[],[f68740,f88049]) ).

fof(f89121,plain,
    ( k4_waybel28(sK66) = k4_waybel28(sK67)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_subsumption_resolution,[],[f89120,f88346]) ).

fof(f90454,plain,
    ! [X0,X1] :
      ( k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1)))
      | ~ l1_pre_topc(k14_yellow_6(X0,X1))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | ~ m4_yellow_6(X1,X0) ),
    inference(resolution,[],[f69934,f68956]) ).

fof(f90455,plain,
    ! [X0,X1] :
      ( ~ l1_struct_0(X0)
      | v3_struct_0(X0)
      | k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1)))
      | ~ m4_yellow_6(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f90454,f68951]) ).

fof(f90456,plain,
    ! [X0,X1] :
      ( ~ m4_yellow_6(X1,X0)
      | k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1)))
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(resolution,[],[f90455,f68654]) ).

fof(f90457,plain,
    ! [X0] :
      ( k14_yellow_6(X0,k3_waybel28(X0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(resolution,[],[f90456,f68920]) ).

fof(f90458,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | v3_struct_0(X0)
      | k14_yellow_6(X0,k3_waybel28(X0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
    inference(duplicate_literal_removal,[],[f90457]) ).

fof(f90459,plain,
    ( v3_struct_0(sK66)
    | k14_yellow_6(sK66,k3_waybel28(sK66)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK66,k3_waybel28(sK66))),u1_pre_topc(k14_yellow_6(sK66,k3_waybel28(sK66)))) ),
    inference(resolution,[],[f90458,f67874]) ).

fof(f90460,plain,
    ( v3_struct_0(sK67)
    | k14_yellow_6(sK67,k3_waybel28(sK67)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK67,k3_waybel28(sK67))),u1_pre_topc(k14_yellow_6(sK67,k3_waybel28(sK67)))) ),
    inference(resolution,[],[f90458,f67881]) ).

fof(f90465,plain,
    ( k14_yellow_6(sK67,k3_waybel28(sK67)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK67,k3_waybel28(sK67))),k4_waybel28(sK67))
    | v3_struct_0(sK67)
    | ~ spl1828_49 ),
    inference(forward_demodulation,[],[f90460,f87645]) ).

fof(f90466,plain,
    ( k14_yellow_6(sK66,k3_waybel28(sK66)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK66,k3_waybel28(sK66))),k4_waybel28(sK66))
    | v3_struct_0(sK66)
    | ~ spl1828_51 ),
    inference(forward_demodulation,[],[f90459,f87652]) ).

fof(f90469,plain,
    ( k14_yellow_6(sK67,k3_waybel28(sK67)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK67,k3_waybel28(sK67))),k4_waybel28(sK66))
    | v3_struct_0(sK67)
    | ~ spl1828_49
    | ~ spl1828_51 ),
    inference(forward_demodulation,[],[f90465,f89121]) ).

fof(f90470,plain,
    ( k14_yellow_6(sK66,k3_waybel28(sK66)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK66))),k4_waybel28(sK66))
    | v3_struct_0(sK66)
    | ~ spl1828_51
    | ~ spl1828_99 ),
    inference(forward_demodulation,[],[f90466,f88939]) ).

fof(f90473,plain,
    ( k14_yellow_6(sK67,k3_waybel28(sK67)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK67))),k4_waybel28(sK66))
    | v3_struct_0(sK67)
    | ~ spl1828_49
    | ~ spl1828_51
    | ~ spl1828_98 ),
    inference(forward_demodulation,[],[f90469,f88935]) ).

fof(f90475,definition,
    ( spl1828_153
  <=> k14_yellow_6(sK66,k3_waybel28(sK66)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK66))),k4_waybel28(sK66)) ),
    introduced(definition,[new_symbols(definition,[spl1828_153])],[avatar_definition]) ).

fof(f90476,plain,
    ( k14_yellow_6(sK66,k3_waybel28(sK66)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK66))),k4_waybel28(sK66))
    | ~ spl1828_153 ),
    inference(avatar_component_clause,[],[f90475]) ).

fof(f90477,plain,
    ( spl1828_52
    | spl1828_153
    | ~ spl1828_51
    | ~ spl1828_99 ),
    inference(avatar_split_clause,[],[f90470,f88938,f87651,f90475,f87654]) ).

fof(f90479,plain,
    ( k14_yellow_6(sK67,k3_waybel28(sK67)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK66))),k4_waybel28(sK66))
    | v3_struct_0(sK67)
    | ~ spl1828_49
    | ~ spl1828_51
    | ~ spl1828_98 ),
    inference(forward_demodulation,[],[f90473,f89121]) ).

fof(f90482,definition,
    ( spl1828_154
  <=> k14_yellow_6(sK67,k3_waybel28(sK67)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK66))),k4_waybel28(sK66)) ),
    introduced(definition,[new_symbols(definition,[spl1828_154])],[avatar_definition]) ).

fof(f90483,plain,
    ( k14_yellow_6(sK67,k3_waybel28(sK67)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK66))),k4_waybel28(sK66))
    | ~ spl1828_154 ),
    inference(avatar_component_clause,[],[f90482]) ).

fof(f90484,plain,
    ( spl1828_50
    | spl1828_154
    | ~ spl1828_49
    | ~ spl1828_51
    | ~ spl1828_98 ),
    inference(avatar_split_clause,[],[f90479,f88934,f87651,f87644,f90482,f87647]) ).

fof(f90485,plain,
    ( k14_yellow_6(sK66,k3_waybel28(sK66)) = k14_yellow_6(sK67,k3_waybel28(sK67))
    | ~ spl1828_153
    | ~ spl1828_154 ),
    inference(forward_demodulation,[],[f90483,f90476]) ).

fof(f90486,plain,
    ( $false
    | ~ spl1828_153
    | ~ spl1828_154 ),
    inference(forward_subsumption_resolution,[],[f90485,f67889]) ).

fof(f90487,plain,
    ( ~ spl1828_153
    | ~ spl1828_154 ),
    inference(avatar_contradiction_clause,[],[f90486]) ).

cnf(s40,plain,
    ( spl1828_49
    | spl1828_50 ),
    inference(sat_conversion,[],[f87649]) ).

cnf(s41,plain,
    ( spl1828_51
    | spl1828_52 ),
    inference(sat_conversion,[],[f87656]) ).

cnf(s56,plain,
    ~ spl1828_52,
    inference(sat_conversion,[],[f87909]) ).

cnf(s58,plain,
    ~ spl1828_50,
    inference(sat_conversion,[],[f87915]) ).

cnf(s108,plain,
    ( ~ spl1828_49
    | spl1828_50
    | spl1828_98 ),
    inference(sat_conversion,[],[f88936]) ).

cnf(s109,plain,
    ( ~ spl1828_51
    | spl1828_52
    | spl1828_99 ),
    inference(sat_conversion,[],[f88940]) ).

cnf(s168,plain,
    ( ~ spl1828_51
    | spl1828_52
    | ~ spl1828_99
    | spl1828_153 ),
    inference(sat_conversion,[],[f90477]) ).

cnf(s169,plain,
    ( ~ spl1828_49
    | spl1828_50
    | ~ spl1828_51
    | ~ spl1828_98
    | spl1828_154 ),
    inference(sat_conversion,[],[f90484]) ).

cnf(s170,plain,
    ( ~ spl1828_153
    | ~ spl1828_154 ),
    inference(sat_conversion,[],[f90487]) ).

cnf(s236,plain,
    spl1828_51,
    inference(rat,[],[s41,s56]) ).

cnf(s240,plain,
    spl1828_99,
    inference(rat,[],[s109,s56,s236]) ).

cnf(s241,plain,
    spl1828_153,
    inference(rat,[],[s168,s236,s56,s240]) ).

cnf(s242,plain,
    ~ spl1828_154,
    inference(rat,[],[s170,s241]) ).

cnf(s243,plain,
    spl1828_49,
    inference(rat,[],[s40,s58]) ).

cnf(s244,plain,
    ~ spl1828_98,
    inference(rat,[],[s169,s242,s236,s58,s243]) ).

cnf(s245,plain,
    $false,
    inference(rat,[],[s108,s58,s244,s243]) ).

fof(f90488,plain,
    $false,
    inference(avatar_sat_refutation,[],[s245]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : TOP047+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n019.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 19:07:19 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 20.69/7.10  % (127733)Detected formulas, will run a generic FOF schedule.
% 20.69/7.10  % (127739)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=2302514518:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2959 on theBenchmark for (2959ds/134677Mi)
% 20.69/7.10  % (127740)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=2378779575:i=141695:sd=1:nm=32:gsp=on:ss=included_2959 on theBenchmark for (2959ds/141695Mi)
% 20.69/7.10  % (127738)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=1705838717:i=141193_2959 on theBenchmark for (2959ds/141193Mi)
% 20.69/7.10  % (127741)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1126807939:i=109:sd=1:ins=1:gsp=on:ss=axioms_2959 on theBenchmark for (2959ds/109Mi)
% 20.69/7.10  % (127742)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2878101307:i=119:av=off:ss=axioms_2959 on theBenchmark for (2959ds/119Mi)
% 20.69/7.10  % (127743)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1199671506:s2a=on:i=139:gtg=position_2959 on theBenchmark for (2959ds/139Mi)
% 20.69/7.10  % (127744)dis-21_1_sil=8000:lcm=predicate:random_seed=1447266181:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2959 on theBenchmark for (2959ds/129Mi)
% 20.69/7.10  % (127743)Instruction limit reached! 
% 20.69/7.10  % (127743)------------------------------
% 20.69/7.10  % (127743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/7.10  % (127743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/7.10  % (127743)CaDiCaL version: 2.1.3
% 20.69/7.10  % (127743)Termination reason: Instruction limit
% 20.69/7.10  % (127743)Termination phase: Property scanning
% 20.69/7.10  % (127743)Time elapsed: 0.065 s
% 20.69/7.10  % (127743)Peak memory usage: 173 MB
% 20.69/7.10  % (127743)Instructions burned: 140 (million)
% 20.69/7.10  % (127741)Instruction limit reached! 
% 20.69/7.10  % (127741)------------------------------
% 20.69/7.10  % (127741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/7.10  % (127741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/7.10  % (127741)CaDiCaL version: 2.1.3
% 20.69/7.10  % (127741)Termination reason: Instruction limit
% 20.69/7.10  % (127741)Termination phase: SInE selection
% 20.69/7.10  % (127741)Time elapsed: 0.081 s
% 20.69/7.10  % (127741)Peak memory usage: 172 MB
% 20.69/7.10  % (127741)Instructions burned: 109 (million)
% 20.69/7.10  % (127742)Instruction limit reached! 
% 20.69/7.10  % (127742)------------------------------
% 20.69/7.10  % (127742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/7.10  % (127742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/7.10  % (127742)CaDiCaL version: 2.1.3
% 20.69/7.10  % (127742)Termination reason: Instruction limit
% 20.69/7.10  % (127742)Termination phase: SInE selection
% 20.69/7.10  % (127742)Time elapsed: 0.089 s
% 20.69/7.10  % (127742)Peak memory usage: 172 MB
% 20.69/7.10  % (127742)Instructions burned: 120 (million)
% 20.69/7.10  % (127744)Instruction limit reached! 
% 20.69/7.10  % (127744)------------------------------
% 20.69/7.10  % (127744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/7.10  % (127744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/7.10  % (127744)CaDiCaL version: 2.1.3
% 20.69/7.10  % (127744)Termination reason: Instruction limit
% 20.69/7.10  % (127744)Termination phase: SInE selection
% 20.69/7.10  % (127744)Time elapsed: 0.096 s
% 20.69/7.10  % (127744)Peak memory usage: 172 MB
% 20.69/7.10  % (127744)Instructions burned: 129 (million)
% 20.69/7.10  % (127752)lrs+10_1_sil=8000:sp=occurrence:random_seed=4287583676:i=285:sd=3:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/285Mi)
% 20.69/7.10  % (127754)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3347539084:i=325:sd=1:ss=axioms:sgt=32_2956 on theBenchmark for (2956ds/325Mi)
% 20.69/7.10  % (127753)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2322724873:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/157Mi)
% 20.69/7.10  % (127755)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=989292416:s2a=on:i=248:s2at=1.23:gtg=position_2956 on theBenchmark for (2956ds/248Mi)
% 20.69/7.10  % (127753)Instruction limit reached! 
% 20.69/7.10  % (127753)------------------------------
% 28.46/8.16  % (127753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.46/8.16  % (127753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.46/8.16  % (127753)CaDiCaL version: 2.1.3
% 28.46/8.16  % (127753)Termination reason: Instruction limit
% 28.46/8.16  % (127753)Termination phase: Property scanning
% 28.46/8.16  % (127753)Time elapsed: 0.074 s
% 28.46/8.16  % (127753)Peak memory usage: 173 MB
% 28.46/8.16  % (127753)Instructions burned: 159 (million)
% 28.46/8.16  % (127755)Instruction limit reached! 
% 28.46/8.16  % (127755)------------------------------
% 28.46/8.16  % (127755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.46/8.16  % (127755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.46/8.16  % (127755)CaDiCaL version: 2.1.3
% 28.46/8.16  % (127755)Termination reason: Instruction limit
% 28.46/8.16  % (127755)Termination phase: Property scanning
% 28.46/8.16  % (127755)Time elapsed: 0.108 s
% 28.46/8.16  % (127755)Peak memory usage: 173 MB
% 28.46/8.16  % (127755)Instructions burned: 249 (million)
% 28.46/8.16  % (127752)Instruction limit reached! 
% 28.46/8.16  % (127752)------------------------------
% 28.46/8.16  % (127752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.46/8.16  % (127752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.46/8.16  % (127752)CaDiCaL version: 2.1.3
% 28.46/8.16  % (127752)Termination reason: Instruction limit
% 28.46/8.16  % (127752)Termination phase: SInE selection
% 28.46/8.16  % (127752)Time elapsed: 0.209 s
% 28.46/8.16  % (127752)Peak memory usage: 173 MB
% 28.46/8.16  % (127752)Instructions burned: 285 (million)
% 28.46/8.16  % (127760)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2433036202:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2954 on theBenchmark for (2954ds/294Mi)
% 28.46/8.16  % (127754)Instruction limit reached! 
% 28.46/8.16  % (127754)------------------------------
% 28.46/8.16  % (127754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.46/8.16  % (127754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.46/8.16  % (127754)CaDiCaL version: 2.1.3
% 28.46/8.16  % (127754)Termination reason: Instruction limit
% 28.46/8.16  % (127754)Termination phase: SInE selection
% 28.46/8.16  % (127754)Time elapsed: 0.236 s
% 28.46/8.17  % (127754)Peak memory usage: 174 MB
% 28.46/8.17  % (127754)Instructions burned: 325 (million)
% 28.46/8.17  % (127761)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3431717540:i=2350_2954 on theBenchmark for (2954ds/2350Mi)
% 28.46/8.17  % (127762)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=485202852:cts=off:i=113:fsr=off:ss=included:sgt=4_2953 on theBenchmark for (2953ds/113Mi)
% 28.46/8.17  % (127764)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2109409213:i=127:av=off:fsr=off:sup=off_2952 on theBenchmark for (2952ds/127Mi)
% 28.46/8.17  % (127762)Instruction limit reached! 
% 28.46/8.17  % (127762)------------------------------
% 28.46/8.17  % (127762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.46/8.17  % (127762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.46/8.17  % (127762)CaDiCaL version: 2.1.3
% 28.46/8.17  % (127762)Termination reason: Instruction limit
% 28.46/8.17  % (127762)Termination phase: SInE selection
% 28.46/8.17  % (127762)Time elapsed: 0.089 s
% 28.46/8.17  % (127762)Peak memory usage: 172 MB
% 28.46/8.17  % (127762)Instructions burned: 114 (million)
% 28.46/8.17  % (127760)Instruction limit reached! 
% 28.46/8.17  % (127760)------------------------------
% 28.46/8.17  % (127760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.46/8.17  % (127760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.46/8.17  % (127760)CaDiCaL version: 2.1.3
% 28.46/8.17  % (127760)Termination reason: Instruction limit
% 28.46/8.17  % (127760)Termination phase: SInE selection
% 28.46/8.17  % (127760)Time elapsed: 0.206 s
% 28.46/8.17  % (127760)Peak memory usage: 173 MB
% 28.46/8.17  % (127760)Instructions burned: 294 (million)
% 28.46/8.17  % (127764)Instruction limit reached! 
% 28.46/8.17  % (127764)------------------------------
% 28.46/8.17  % (127764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.46/8.17  % (127764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.46/8.17  % (127764)CaDiCaL version: 2.1.3
% 28.46/8.17  % (127764)Termination reason: Instruction limit
% 28.46/8.17  % (127764)Termination phase: Preprocessing 1
% 28.46/8.17  % (127764)Time elapsed: 0.101 s
% 23.95/8.62  % (127764)Peak memory usage: 174 MB
% 23.95/8.62  % (127764)Instructions burned: 128 (million)
% 23.95/8.62  % (127768)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=994587851:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2951 on theBenchmark for (2951ds/114Mi)
% 23.95/8.62  % (127769)lrs+10_1_sil=8000:sp=occurrence:random_seed=1453350473:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2951 on theBenchmark for (2951ds/907Mi)
% 23.95/8.62  % (127768)Instruction limit reached! 
% 23.95/8.62  % (127768)------------------------------
% 23.95/8.62  % (127768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127768)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127768)Termination reason: Instruction limit
% 23.95/8.62  % (127768)Termination phase: Property scanning
% 23.95/8.62  % (127768)Time elapsed: 0.055 s
% 23.95/8.62  % (127768)Peak memory usage: 173 MB
% 23.95/8.62  % (127768)Instructions burned: 115 (million)
% 23.95/8.62  % (127770)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3705622434:i=437:sd=1:aac=none:ss=included_2950 on theBenchmark for (2950ds/437Mi)
% 23.95/8.62  % (127773)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=284745896:i=5202:ss=axioms:sgt=16_2949 on theBenchmark for (2949ds/5202Mi)
% 23.95/8.62  % (127770)Instruction limit reached! 
% 23.95/8.62  % (127770)------------------------------
% 23.95/8.62  % (127770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127770)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127770)Termination reason: Instruction limit
% 23.95/8.62  % (127770)Termination phase: Preprocessing 3
% 23.95/8.62  % (127770)Time elapsed: 0.360 s
% 23.95/8.62  % (127770)Peak memory usage: 176 MB
% 23.95/8.62  % (127770)Instructions burned: 437 (million)
% 23.95/8.62  % (127776)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=168079360:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2945 on theBenchmark for (2945ds/134Mi)
% 23.95/8.62  % (127776)Instruction limit reached! 
% 23.95/8.62  % (127776)------------------------------
% 23.95/8.62  % (127776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127776)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127776)Termination reason: Instruction limit
% 23.95/8.62  % (127776)Termination phase: SInE selection
% 23.95/8.62  % (127776)Time elapsed: 0.108 s
% 23.95/8.62  % (127776)Peak memory usage: 172 MB
% 23.95/8.62  % (127776)Instructions burned: 135 (million)
% 23.95/8.62  % (127769)Instruction limit reached! 
% 23.95/8.62  % (127769)------------------------------
% 23.95/8.62  % (127769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127769)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127769)Termination reason: Instruction limit
% 23.95/8.62  % (127769)Termination phase: Naming
% 23.95/8.62  % (127769)Time elapsed: 0.703 s
% 23.95/8.62  % (127769)Peak memory usage: 191 MB
% 23.95/8.62  % (127769)Instructions burned: 907 (million)
% 23.95/8.62  % (127778)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3440562982:st=8:i=592:sd=3:ep=RST:ss=axioms_2942 on theBenchmark for (2942ds/592Mi)
% 23.95/8.62  % (127779)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2414865836:st=3:i=13193:sd=3:ss=axioms_2942 on theBenchmark for (2942ds/13193Mi)
% 23.95/8.62  % (127778)Instruction limit reached! 
% 23.95/8.62  % (127778)------------------------------
% 23.95/8.62  % (127778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127778)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127778)Termination reason: Instruction limit
% 23.95/8.62  % (127778)Termination phase: SInE selection
% 23.95/8.62  % (127778)Time elapsed: 0.372 s
% 23.95/8.62  % (127778)Peak memory usage: 175 MB
% 23.95/8.62  % (127778)Instructions burned: 593 (million)
% 23.95/8.62  % (127782)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=2604470058:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2937 on theBenchmark for (2937ds/125Mi)
% 23.95/8.62  % (127782)Instruction limit reached! 
% 23.95/8.62  % (127782)------------------------------
% 23.95/8.62  % (127782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127782)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127782)Termination reason: Instruction limit
% 23.95/8.62  % (127782)Termination phase: Property scanning
% 23.95/8.62  % (127782)Time elapsed: 0.061 s
% 23.95/8.62  % (127782)Peak memory usage: 173 MB
% 23.95/8.62  % (127782)Instructions burned: 127 (million)
% 23.95/8.62  % (127761)Instruction limit reached! 
% 23.95/8.62  % (127761)------------------------------
% 23.95/8.62  % (127761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127761)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127761)Termination reason: Instruction limit
% 23.95/8.62  % (127761)Termination phase: Preprocessing 3
% 23.95/8.62  % (127761)Time elapsed: 1.812 s
% 23.95/8.62  % (127761)Peak memory usage: 275 MB
% 23.95/8.62  % (127761)Instructions burned: 2351 (million)
% 23.95/8.62  % (127784)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3153514050:i=134:gtgl=5:slsql=off:gtg=exists_sym_2935 on theBenchmark for (2935ds/134Mi)
% 23.95/8.62  % (127784)Instruction limit reached! 
% 23.95/8.62  % (127784)------------------------------
% 23.95/8.62  % (127784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127784)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127784)Termination reason: Instruction limit
% 23.95/8.62  % (127784)Termination phase: Property scanning
% 23.95/8.62  % (127784)Time elapsed: 0.063 s
% 23.95/8.62  % (127784)Peak memory usage: 173 MB
% 23.95/8.62  % (127784)Instructions burned: 136 (million)
% 23.95/8.62  % (127788)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4164505090:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2934 on theBenchmark for (2934ds/141Mi)
% 23.95/8.62  % (127789)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2219882504:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2933 on theBenchmark for (2933ds/431Mi)
% 23.95/8.62  % (127788)Instruction limit reached! 
% 23.95/8.62  % (127788)------------------------------
% 23.95/8.62  % (127788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127788)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127788)Termination reason: Instruction limit
% 23.95/8.62  % (127788)Termination phase: SInE selection
% 23.95/8.62  % (127788)Time elapsed: 0.113 s
% 23.95/8.62  % (127788)Peak memory usage: 172 MB
% 23.95/8.62  % (127788)Instructions burned: 142 (million)
% 23.95/8.62  % (127792)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=4028056319:i=6060:aac=none:ins=25_2931 on theBenchmark for (2931ds/6060Mi)
% 23.95/8.62  % (127789)Instruction limit reached! 
% 23.95/8.62  % (127789)------------------------------
% 23.95/8.62  % (127789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127789)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127789)Termination reason: Instruction limit
% 23.95/8.62  % (127789)Termination phase: Preprocessing 3
% 23.95/8.62  % (127789)Time elapsed: 0.336 s
% 23.95/8.62  % (127789)Peak memory usage: 177 MB
% 23.95/8.62  % (127789)Instructions burned: 431 (million)
% 23.95/8.62  % (127794)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=1727773375:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2928 on theBenchmark for (2928ds/150Mi)
% 23.95/8.62  % (127794)Instruction limit reached! 
% 23.95/8.62  % (127794)------------------------------
% 23.95/8.62  % (127794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/8.62  % (127794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/8.62  % (127794)CaDiCaL version: 2.1.3
% 23.95/8.62  % (127794)Termination reason: Instruction limit
% 23.95/8.62  % (127794)Termination phase: SInE selection
% 23.95/8.62  % (127794)Time elapsed: 0.119 s
% 23.95/8.62  % (127794)Peak memory usage: 172 MB
% 23.95/8.62  % (127794)Instructions burned: 150 (million)
% 23.95/8.62  % (127796)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3219257827:i=14155:bd=all_2926 on theBenchmark for (2926ds/14155Mi)
% 23.95/8.62  % (127739)First to succeed.
% 23.95/8.62  % (127739)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-127733"
% 23.95/8.62  % (127739)Refutation found. Thanks to Tanya!
% 23.95/8.62  % SZS status Theorem for theBenchmark
% 23.95/8.62  % SZS output start Proof for theBenchmark
% See solution above
% 32.06/8.86  % (127739)------------------------------
% 32.06/8.86  % (127739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.06/8.86  % (127739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/8.86  % (127739)CaDiCaL version: 2.1.3
% 32.06/8.86  % (127739)Termination reason: Refutation
% 32.06/8.86  % (127739)Time elapsed: 3.524 s
% 32.06/8.86  % (127739)Peak memory usage: 428 MB
% 32.06/8.86  % (127739)Instructions burned: 10206 (million)
% 32.06/8.86  % (127739)------------------------------
% 32.06/8.86  % (127739)------------------------------
% 32.06/8.86  % (127733)Success in time 7.95 s
% 32.06/8.86  % Vampire exiting
%------------------------------------------------------------------------------