TSTP Solution File: LAT351+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT351+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 10:25:42 EDT 2024

% Result   : Theorem 3.82s 1.15s
% Output   : CNFRefutation 3.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0,X1] :
      ( ( l1_orders_2(X1)
        & v3_waybel_3(X1)
        & v3_lattice3(X1)
        & v2_lattice3(X1)
        & v1_lattice3(X1)
        & v4_orders_2(X1)
        & v3_orders_2(X1)
        & v2_orders_2(X1) )
     => ! [X2] :
          ( ( k1_card_1(X2) = k1_card_1(X0)
            & r1_waybel22(X1,X2) )
         => r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel22) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( l1_orders_2(X1)
          & v3_waybel_3(X1)
          & v3_lattice3(X1)
          & v2_lattice3(X1)
          & v1_lattice3(X1)
          & v4_orders_2(X1)
          & v3_orders_2(X1)
          & v2_orders_2(X1) )
       => ! [X2] :
            ( ( k1_card_1(X2) = k1_card_1(X0)
              & r1_waybel22(X1,X2) )
           => r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f19,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( v2_lattice3(X0)
       => ~ v3_struct_0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).

fof(f34,axiom,
    ! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel22) ).

fof(f42,axiom,
    ! [X0] :
      ( l1_orders_2(k2_yellow_1(X0))
      & v1_orders_2(k2_yellow_1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).

fof(f44,axiom,
    ! [X0] :
      ( l1_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).

fof(f66,axiom,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v11_waybel_1(k3_yellow_1(X0))
      & v10_waybel_1(k3_yellow_1(X0))
      & v9_waybel_1(k3_yellow_1(X0))
      & v2_waybel_1(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_waybel_8) ).

fof(f71,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v2_lattice3(X0)
        & v2_yellow_0(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0)
        & ~ v3_struct_0(X0) )
     => ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel22) ).

fof(f111,axiom,
    ! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_waybel22) ).

fof(f112,axiom,
    ! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_waybel22) ).

fof(f113,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_waybel_3(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v3_waybel_3(X1)
            & v3_lattice3(X1)
            & v2_lattice3(X1)
            & v1_lattice3(X1)
            & v4_orders_2(X1)
            & v3_orders_2(X1)
            & v2_orders_2(X1) )
         => ! [X2,X3] :
              ( ( k1_card_1(X2) = k1_card_1(X3)
                & r1_waybel22(X1,X3)
                & r1_waybel22(X0,X2) )
             => r5_waybel_1(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_waybel22) ).

fof(f125,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v10_waybel_1(k3_yellow_1(X0))
      & v9_waybel_1(k3_yellow_1(X0))
      & v2_waybel_1(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f66]) ).

fof(f126,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v9_waybel_1(k3_yellow_1(X0))
      & v2_waybel_1(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f125]) ).

fof(f127,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v9_waybel_1(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f126]) ).

fof(f134,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f127]) ).

fof(f140,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f134]) ).

fof(f144,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f140]) ).

fof(f150,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
          & k1_card_1(X2) = k1_card_1(X0)
          & r1_waybel22(X1,X2) )
      & l1_orders_2(X1)
      & v3_waybel_3(X1)
      & v3_lattice3(X1)
      & v2_lattice3(X1)
      & v1_lattice3(X1)
      & v4_orders_2(X1)
      & v3_orders_2(X1)
      & v2_orders_2(X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f151,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
          & k1_card_1(X2) = k1_card_1(X0)
          & r1_waybel22(X1,X2) )
      & l1_orders_2(X1)
      & v3_waybel_3(X1)
      & v3_lattice3(X1)
      & v2_lattice3(X1)
      & v1_lattice3(X1)
      & v4_orders_2(X1)
      & v3_orders_2(X1)
      & v2_orders_2(X1) ),
    inference(flattening,[],[f150]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f181]) ).

fof(f239,plain,
    ! [X0] :
      ( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v2_yellow_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f240,plain,
    ! [X0] :
      ( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v2_yellow_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f239]) ).

fof(f273,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( r5_waybel_1(X0,X1)
              | k1_card_1(X2) != k1_card_1(X3)
              | ~ r1_waybel22(X1,X3)
              | ~ r1_waybel22(X0,X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_waybel_3(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_waybel_3(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f274,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( r5_waybel_1(X0,X1)
              | k1_card_1(X2) != k1_card_1(X3)
              | ~ r1_waybel22(X1,X3)
              | ~ r1_waybel22(X0,X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_waybel_3(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_waybel_3(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f273]) ).

fof(f298,plain,
    ! [X0] :
      ( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
      | ~ sP6(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f299,plain,
    ! [X0] :
      ( sP6(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v2_yellow_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(definition_folding,[],[f240,f298]) ).

fof(f302,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
            & k1_card_1(X2) = k1_card_1(X0)
            & r1_waybel22(X1,X2) )
        & l1_orders_2(X1)
        & v3_waybel_3(X1)
        & v3_lattice3(X1)
        & v2_lattice3(X1)
        & v1_lattice3(X1)
        & v4_orders_2(X1)
        & v3_orders_2(X1)
        & v2_orders_2(X1) )
   => ( ? [X2] :
          ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
          & k1_card_1(X2) = k1_card_1(sK8)
          & r1_waybel22(sK9,X2) )
      & l1_orders_2(sK9)
      & v3_waybel_3(sK9)
      & v3_lattice3(sK9)
      & v2_lattice3(sK9)
      & v1_lattice3(sK9)
      & v4_orders_2(sK9)
      & v3_orders_2(sK9)
      & v2_orders_2(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f303,plain,
    ( ? [X2] :
        ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
        & k1_card_1(X2) = k1_card_1(sK8)
        & r1_waybel22(sK9,X2) )
   => ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      & k1_card_1(sK8) = k1_card_1(sK10)
      & r1_waybel22(sK9,sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f304,plain,
    ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    & k1_card_1(sK8) = k1_card_1(sK10)
    & r1_waybel22(sK9,sK10)
    & l1_orders_2(sK9)
    & v3_waybel_3(sK9)
    & v3_lattice3(sK9)
    & v2_lattice3(sK9)
    & v1_lattice3(sK9)
    & v4_orders_2(sK9)
    & v3_orders_2(sK9)
    & v2_orders_2(sK9) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f151,f303,f302]) ).

fof(f321,plain,
    ! [X0] :
      ( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
      | ~ sP6(X0) ),
    inference(nnf_transformation,[],[f298]) ).

fof(f374,plain,
    v2_orders_2(sK9),
    inference(cnf_transformation,[],[f304]) ).

fof(f375,plain,
    v3_orders_2(sK9),
    inference(cnf_transformation,[],[f304]) ).

fof(f376,plain,
    v4_orders_2(sK9),
    inference(cnf_transformation,[],[f304]) ).

fof(f377,plain,
    v1_lattice3(sK9),
    inference(cnf_transformation,[],[f304]) ).

fof(f378,plain,
    v2_lattice3(sK9),
    inference(cnf_transformation,[],[f304]) ).

fof(f379,plain,
    v3_lattice3(sK9),
    inference(cnf_transformation,[],[f304]) ).

fof(f380,plain,
    v3_waybel_3(sK9),
    inference(cnf_transformation,[],[f304]) ).

fof(f381,plain,
    l1_orders_2(sK9),
    inference(cnf_transformation,[],[f304]) ).

fof(f382,plain,
    r1_waybel22(sK9,sK10),
    inference(cnf_transformation,[],[f304]) ).

fof(f383,plain,
    k1_card_1(sK8) = k1_card_1(sK10),
    inference(cnf_transformation,[],[f304]) ).

fof(f384,plain,
    ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
    inference(cnf_transformation,[],[f304]) ).

fof(f441,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f511,plain,
    ! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
    inference(cnf_transformation,[],[f34]) ).

fof(f517,plain,
    ! [X0] : l1_orders_2(k2_yellow_1(X0)),
    inference(cnf_transformation,[],[f42]) ).

fof(f519,plain,
    ! [X0] : l1_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f44]) ).

fof(f559,plain,
    ! [X0] : v2_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f144]) ).

fof(f560,plain,
    ! [X0] : v3_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f144]) ).

fof(f561,plain,
    ! [X0] : v4_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f144]) ).

fof(f563,plain,
    ! [X0] : v2_lattice3(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f144]) ).

fof(f566,plain,
    ! [X0] : v2_yellow_0(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f144]) ).

fof(f579,plain,
    ! [X0] :
      ( v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f580,plain,
    ! [X0] :
      ( v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f581,plain,
    ! [X0] :
      ( v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f587,plain,
    ! [X0] :
      ( v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f588,plain,
    ! [X0] :
      ( v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f589,plain,
    ! [X0] :
      ( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f590,plain,
    ! [X0] :
      ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f591,plain,
    ! [X0] :
      ( sP6(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v2_yellow_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f299]) ).

fof(f748,plain,
    ! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
    inference(cnf_transformation,[],[f111]) ).

fof(f749,plain,
    ! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
    inference(cnf_transformation,[],[f112]) ).

fof(f750,plain,
    ! [X2,X3,X0,X1] :
      ( r5_waybel_1(X0,X1)
      | k1_card_1(X2) != k1_card_1(X3)
      | ~ r1_waybel22(X1,X3)
      | ~ r1_waybel22(X0,X2)
      | ~ l1_orders_2(X1)
      | ~ v3_waybel_3(X1)
      | ~ v3_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v1_lattice3(X1)
      | ~ v4_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v2_orders_2(X1)
      | ~ l1_orders_2(X0)
      | ~ v3_waybel_3(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f762,plain,
    ! [X0] : k1_card_1(X0) = k1_card_1(a_1_0_waybel22(X0)),
    inference(definition_unfolding,[],[f748,f511]) ).

fof(f763,plain,
    ! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
    inference(definition_unfolding,[],[f749,f511]) ).

cnf(c_49,negated_conjecture,
    ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_50,negated_conjecture,
    k1_card_1(sK8) = k1_card_1(sK10),
    inference(cnf_transformation,[],[f383]) ).

cnf(c_51,negated_conjecture,
    r1_waybel22(sK9,sK10),
    inference(cnf_transformation,[],[f382]) ).

cnf(c_52,negated_conjecture,
    l1_orders_2(sK9),
    inference(cnf_transformation,[],[f381]) ).

cnf(c_53,negated_conjecture,
    v3_waybel_3(sK9),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_54,negated_conjecture,
    v3_lattice3(sK9),
    inference(cnf_transformation,[],[f379]) ).

cnf(c_55,negated_conjecture,
    v2_lattice3(sK9),
    inference(cnf_transformation,[],[f378]) ).

cnf(c_56,negated_conjecture,
    v1_lattice3(sK9),
    inference(cnf_transformation,[],[f377]) ).

cnf(c_57,negated_conjecture,
    v4_orders_2(sK9),
    inference(cnf_transformation,[],[f376]) ).

cnf(c_58,negated_conjecture,
    v3_orders_2(sK9),
    inference(cnf_transformation,[],[f375]) ).

cnf(c_59,negated_conjecture,
    v2_orders_2(sK9),
    inference(cnf_transformation,[],[f374]) ).

cnf(c_101,plain,
    ( ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f441]) ).

cnf(c_157,plain,
    l1_orders_2(k2_yellow_1(X0)),
    inference(cnf_transformation,[],[f517]) ).

cnf(c_159,plain,
    l1_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f519]) ).

cnf(c_203,plain,
    v2_yellow_0(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_206,plain,
    v2_lattice3(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f563]) ).

cnf(c_208,plain,
    v4_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_209,plain,
    v3_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_210,plain,
    v2_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_218,plain,
    ( ~ sP6(X0)
    | v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) ),
    inference(cnf_transformation,[],[f590]) ).

cnf(c_219,plain,
    ( ~ sP6(X0)
    | v3_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
    inference(cnf_transformation,[],[f589]) ).

cnf(c_220,plain,
    ( ~ sP6(X0)
    | v2_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
    inference(cnf_transformation,[],[f588]) ).

cnf(c_221,plain,
    ( ~ sP6(X0)
    | v1_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
    inference(cnf_transformation,[],[f587]) ).

cnf(c_227,plain,
    ( ~ sP6(X0)
    | v4_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
    inference(cnf_transformation,[],[f581]) ).

cnf(c_228,plain,
    ( ~ sP6(X0)
    | v3_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
    inference(cnf_transformation,[],[f580]) ).

cnf(c_229,plain,
    ( ~ sP6(X0)
    | v2_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
    inference(cnf_transformation,[],[f579]) ).

cnf(c_232,plain,
    ( ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v4_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v2_orders_2(X0)
    | ~ v2_yellow_0(X0)
    | v3_struct_0(X0)
    | sP6(X0) ),
    inference(cnf_transformation,[],[f591]) ).

cnf(c_389,plain,
    k1_card_1(a_1_0_waybel22(X0)) = k1_card_1(X0),
    inference(cnf_transformation,[],[f762]) ).

cnf(c_390,plain,
    r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
    inference(cnf_transformation,[],[f763]) ).

cnf(c_391,plain,
    ( k1_card_1(X0) != k1_card_1(X1)
    | ~ r1_waybel22(X2,X0)
    | ~ r1_waybel22(X3,X1)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X3)
    | ~ v3_waybel_3(X2)
    | ~ v3_waybel_3(X3)
    | ~ v3_lattice3(X2)
    | ~ v3_lattice3(X3)
    | ~ v2_lattice3(X2)
    | ~ v2_lattice3(X3)
    | ~ v1_lattice3(X2)
    | ~ v1_lattice3(X3)
    | ~ v4_orders_2(X2)
    | ~ v4_orders_2(X3)
    | ~ v3_orders_2(X2)
    | ~ v3_orders_2(X3)
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(X3)
    | r5_waybel_1(X2,X3) ),
    inference(cnf_transformation,[],[f750]) ).

cnf(c_591,plain,
    ( ~ v2_yellow_0(X0)
    | ~ v2_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v4_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ l1_orders_2(X0)
    | sP6(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_101,c_232]) ).

cnf(c_592,plain,
    ( ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v4_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v2_orders_2(X0)
    | ~ v2_yellow_0(X0)
    | sP6(X0) ),
    inference(renaming,[status(thm)],[c_591]) ).

cnf(c_4374,plain,
    ( k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))) != X0
    | k1_card_1(X1) != k1_card_1(X2)
    | X3 != sK9
    | ~ r1_waybel22(X0,X2)
    | ~ r1_waybel22(X3,X1)
    | ~ l1_orders_2(X0)
    | ~ l1_orders_2(X3)
    | ~ v3_waybel_3(X0)
    | ~ v3_waybel_3(X3)
    | ~ v3_lattice3(X0)
    | ~ v3_lattice3(X3)
    | ~ v2_lattice3(X0)
    | ~ v2_lattice3(X3)
    | ~ v1_lattice3(X0)
    | ~ v1_lattice3(X3)
    | ~ v4_orders_2(X0)
    | ~ v4_orders_2(X3)
    | ~ v3_orders_2(X0)
    | ~ v3_orders_2(X3)
    | ~ v2_orders_2(X0)
    | ~ v2_orders_2(X3) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_391]) ).

cnf(c_4375,plain,
    ( k1_card_1(X0) != k1_card_1(X1)
    | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
    | ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ r1_waybel22(sK9,X0)
    | ~ l1_orders_2(sK9)
    | ~ v3_waybel_3(sK9)
    | ~ v3_lattice3(sK9)
    | ~ v2_lattice3(sK9)
    | ~ v1_lattice3(sK9)
    | ~ v4_orders_2(sK9)
    | ~ v3_orders_2(sK9)
    | ~ v2_orders_2(sK9) ),
    inference(unflattening,[status(thm)],[c_4374]) ).

cnf(c_4377,plain,
    ( k1_card_1(X0) != k1_card_1(X1)
    | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
    | ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ r1_waybel22(sK9,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_4375,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_4375]) ).

cnf(c_4402,plain,
    ( k1_card_1(X0) != k1_card_1(X1)
    | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
    | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ r1_waybel22(sK9,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4377,c_157]) ).

cnf(c_11973,plain,
    ( k3_yellow_1(X0) != X1
    | ~ l1_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v2_orders_2(X1)
    | sP6(X1) ),
    inference(resolution_lifted,[status(thm)],[c_592,c_203]) ).

cnf(c_11974,plain,
    ( ~ l1_orders_2(k3_yellow_1(X0))
    | ~ v2_lattice3(k3_yellow_1(X0))
    | ~ v4_orders_2(k3_yellow_1(X0))
    | ~ v3_orders_2(k3_yellow_1(X0))
    | ~ v2_orders_2(k3_yellow_1(X0))
    | sP6(k3_yellow_1(X0)) ),
    inference(unflattening,[status(thm)],[c_11973]) ).

cnf(c_17872,plain,
    ( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
    | ~ r1_waybel22(sK9,X1)
    | k1_card_1(X1) != k1_card_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_4402]) ).

cnf(c_17873,plain,
    ( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4402]) ).

cnf(c_17874,plain,
    k1_card_1(sK8) = sP1_iProver_def,
    definition ).

cnf(c_17875,plain,
    k1_card_1(sK10) = sP2_iProver_def,
    definition ).

cnf(c_17885,negated_conjecture,
    sP1_iProver_def = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_17875,c_17874]) ).

cnf(c_20931,plain,
    k1_card_1(sK10) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_17875,c_17885]) ).

cnf(c_21373,plain,
    ( k1_card_1(X0) != sP1_iProver_def
    | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
    | ~ r1_waybel22(sK9,sK10)
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_20931,c_17872]) ).

cnf(c_21401,plain,
    ( ~ v2_lattice3(k3_yellow_1(X0))
    | ~ v4_orders_2(k3_yellow_1(X0))
    | ~ v3_orders_2(k3_yellow_1(X0))
    | ~ v2_orders_2(k3_yellow_1(X0))
    | ~ v2_yellow_0(k3_yellow_1(X0))
    | sP6(k3_yellow_1(X0)) ),
    inference(superposition,[status(thm)],[c_159,c_592]) ).

cnf(c_21451,plain,
    ( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ sP6(k3_yellow_1(sK8))
    | sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_218,c_17873]) ).

cnf(c_21744,plain,
    ( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
    | k1_card_1(X0) != sP1_iProver_def
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_21373,c_51,c_21373]) ).

cnf(c_21745,plain,
    ( k1_card_1(X0) != sP1_iProver_def
    | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
    | ~ sP0_iProver_def ),
    inference(renaming,[status(thm)],[c_21744]) ).

cnf(c_21755,plain,
    ( k1_card_1(X0) != sP1_iProver_def
    | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(X0))
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_389,c_21745]) ).

cnf(c_21813,plain,
    sP6(k3_yellow_1(X0)),
    inference(global_subsumption_just,[status(thm)],[c_21401,c_210,c_209,c_208,c_206,c_159,c_11974]) ).

cnf(c_21837,plain,
    ( ~ sP6(k3_yellow_1(sK8))
    | sP0_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21451,c_229,c_228,c_227,c_221,c_220,c_219]) ).

cnf(c_21840,plain,
    sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_21837,c_21813]) ).

cnf(c_21878,plain,
    ( k1_card_1(X0) != sP1_iProver_def
    | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21755,c_21840]) ).

cnf(c_21883,plain,
    ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(sK8)),
    inference(superposition,[status(thm)],[c_17874,c_21878]) ).

cnf(c_21981,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_21883,c_390]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT351+1 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sat Jun 22 00:54:09 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.82/1.15  % SZS status Started for theBenchmark.p
% 3.82/1.15  % SZS status Theorem for theBenchmark.p
% 3.82/1.15  
% 3.82/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.82/1.15  
% 3.82/1.15  ------  iProver source info
% 3.82/1.15  
% 3.82/1.15  git: date: 2024-06-12 09:56:46 +0000
% 3.82/1.15  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.82/1.15  git: non_committed_changes: false
% 3.82/1.15  
% 3.82/1.15  ------ Parsing...
% 3.82/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.82/1.15  
% 3.82/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 11 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 12 0s  sf_e  pe_s  pe_e 
% 3.82/1.15  
% 3.82/1.15  ------ Preprocessing... gs_s  sp: 1 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.82/1.15  
% 3.82/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.82/1.15  ------ Proving...
% 3.82/1.15  ------ Problem Properties 
% 3.82/1.15  
% 3.82/1.15  
% 3.82/1.15  clauses                                 266
% 3.82/1.15  conjectures                             10
% 3.82/1.15  EPR                                     142
% 3.82/1.15  Horn                                    227
% 3.82/1.15  unary                                   124
% 3.82/1.15  binary                                  69
% 3.82/1.15  lits                                    592
% 3.82/1.15  lits eq                                 21
% 3.82/1.15  fd_pure                                 0
% 3.82/1.15  fd_pseudo                               0
% 3.82/1.15  fd_cond                                 1
% 3.82/1.15  fd_pseudo_cond                          5
% 3.82/1.15  AC symbols                              0
% 3.82/1.15  
% 3.82/1.15  ------ Input Options Time Limit: Unbounded
% 3.82/1.15  
% 3.82/1.15  
% 3.82/1.15  ------ 
% 3.82/1.15  Current options:
% 3.82/1.15  ------ 
% 3.82/1.15  
% 3.82/1.15  
% 3.82/1.15  
% 3.82/1.15  
% 3.82/1.15  ------ Proving...
% 3.82/1.15  
% 3.82/1.15  
% 3.82/1.15  ------ Proving...
% 3.82/1.15  
% 3.82/1.15  
% 3.82/1.15  % SZS status Theorem for theBenchmark.p
% 3.82/1.15  
% 3.82/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.15  
% 3.82/1.15  
%------------------------------------------------------------------------------