TSTP Solution File: TOP047+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : TOP047+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 21:16:35 EDT 2024

% Result   : Theorem 4.06s 1.18s
% Output   : CNFRefutation 4.06s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v2_lattice3(X0)
        & v25_waybel_0(X0)
        & v24_waybel_0(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v2_lattice3(X1)
            & v25_waybel_0(X1)
            & v24_waybel_0(X1)
            & v4_orders_2(X1)
            & v3_orders_2(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))
           => k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel33) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_orders_2(X0)
          & v2_lattice3(X0)
          & v25_waybel_0(X0)
          & v24_waybel_0(X0)
          & v4_orders_2(X0)
          & v3_orders_2(X0)
          & v2_orders_2(X0) )
       => ! [X1] :
            ( ( l1_orders_2(X1)
              & v2_lattice3(X1)
              & v25_waybel_0(X1)
              & v24_waybel_0(X1)
              & v4_orders_2(X1)
              & v3_orders_2(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))
             => k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f4,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => ( v1_pre_topc(X0)
       => g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).

fof(f15,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( v2_lattice3(X0)
       => ~ v3_struct_0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( r1_tarski(X1,X0)
        & r1_tarski(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f24,axiom,
    ! [X0] :
      ( ( l1_struct_0(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m4_yellow_6(X1,X0)
         => ! [X2] :
              ( ( l1_pre_topc(X2)
                & v1_pre_topc(X2) )
             => ( k14_yellow_6(X0,X1) = X2
              <=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
                  & u1_struct_0(X0) = u1_struct_0(X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d27_yellow_6) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ( m4_yellow_6(X1,X0)
        & l1_struct_0(X0)
        & ~ v3_struct_0(X0) )
     => ( l1_pre_topc(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_yellow_6) ).

fof(f34,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & ~ v3_struct_0(X0) )
     => m4_yellow_6(k3_waybel28(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel28) ).

fof(f36,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).

fof(f44,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).

fof(f60,axiom,
    ! [X0,X1] :
      ( ( m4_yellow_6(X1,X0)
        & l1_struct_0(X0)
        & ~ v3_struct_0(X0) )
     => ( v1_pre_topc(k14_yellow_6(X0,X1))
        & ~ v3_struct_0(k14_yellow_6(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc24_yellow_6) ).

fof(f61,axiom,
    ! [X0,X1] :
      ( ( m4_yellow_6(X1,X0)
        & l1_struct_0(X0)
        & ~ v3_struct_0(X0) )
     => ( v2_pre_topc(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1))
        & ~ v3_struct_0(k14_yellow_6(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc25_yellow_6) ).

fof(f68,axiom,
    ! [X0,X1] :
      ( m1_relset_1(X1,X0,X0)
     => ! [X2,X3] :
          ( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
         => ( X1 = X3
            & X0 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).

fof(f70,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v2_lattice3(X0)
        & v25_waybel_0(X0)
        & v24_waybel_0(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v2_lattice3(X1)
            & v25_waybel_0(X1)
            & v24_waybel_0(X1)
            & v4_orders_2(X1)
            & v3_orders_2(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))
           => 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(f93,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f126,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))
          & l1_orders_2(X1)
          & v2_lattice3(X1)
          & v25_waybel_0(X1)
          & v24_waybel_0(X1)
          & v4_orders_2(X1)
          & v3_orders_2(X1)
          & v2_orders_2(X1) )
      & l1_orders_2(X0)
      & v2_lattice3(X0)
      & v25_waybel_0(X0)
      & v24_waybel_0(X0)
      & v4_orders_2(X0)
      & v3_orders_2(X0)
      & v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f127,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))
          & l1_orders_2(X1)
          & v2_lattice3(X1)
          & v25_waybel_0(X1)
          & v24_waybel_0(X1)
          & v4_orders_2(X1)
          & v3_orders_2(X1)
          & v2_orders_2(X1) )
      & l1_orders_2(X0)
      & v2_lattice3(X0)
      & v25_waybel_0(X0)
      & v24_waybel_0(X0)
      & v4_orders_2(X0)
      & v3_orders_2(X0)
      & v2_orders_2(X0) ),
    inference(flattening,[],[f126]) ).

fof(f130,plain,
    ! [X0] :
      ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
      | ~ v1_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f131,plain,
    ! [X0] :
      ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
      | ~ v1_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f130]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f146]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k14_yellow_6(X0,X1) = X2
              <=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
                  & u1_struct_0(X0) = u1_struct_0(X2) ) )
              | ~ l1_pre_topc(X2)
              | ~ v1_pre_topc(X2) )
          | ~ m4_yellow_6(X1,X0) )
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f161,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k14_yellow_6(X0,X1) = X2
              <=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
                  & u1_struct_0(X0) = u1_struct_0(X2) ) )
              | ~ l1_pre_topc(X2)
              | ~ v1_pre_topc(X2) )
          | ~ m4_yellow_6(X1,X0) )
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f160]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ( l1_pre_topc(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1)) )
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( l1_pre_topc(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1)) )
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f164]) ).

fof(f166,plain,
    ! [X0] :
      ( m4_yellow_6(k3_waybel28(X0),X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f167,plain,
    ! [X0] :
      ( m4_yellow_6(k3_waybel28(X0),X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f166]) ).

fof(f168,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f172,plain,
    ! [X0] :
      ( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ( v1_pre_topc(k14_yellow_6(X0,X1))
        & ~ v3_struct_0(k14_yellow_6(X0,X1)) )
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ( v1_pre_topc(k14_yellow_6(X0,X1))
        & ~ v3_struct_0(k14_yellow_6(X0,X1)) )
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f181]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ( v2_pre_topc(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1))
        & ~ v3_struct_0(k14_yellow_6(X0,X1)) )
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ( v2_pre_topc(k14_yellow_6(X0,X1))
        & v1_pre_topc(k14_yellow_6(X0,X1))
        & ~ v3_struct_0(k14_yellow_6(X0,X1)) )
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f183]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( ( X1 = X3
            & X0 = X2 )
          | g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
      | ~ m1_relset_1(X1,X0,X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f191,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))
          | ~ l1_orders_2(X1)
          | ~ v2_lattice3(X1)
          | ~ v25_waybel_0(X1)
          | ~ v24_waybel_0(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v25_waybel_0(X0)
      | ~ v24_waybel_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f192,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))
          | ~ l1_orders_2(X1)
          | ~ v2_lattice3(X1)
          | ~ v25_waybel_0(X1)
          | ~ v24_waybel_0(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v25_waybel_0(X0)
      | ~ v24_waybel_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f191]) ).

fof(f221,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))
            & l1_orders_2(X1)
            & v2_lattice3(X1)
            & v25_waybel_0(X1)
            & v24_waybel_0(X1)
            & v4_orders_2(X1)
            & v3_orders_2(X1)
            & v2_orders_2(X1) )
        & l1_orders_2(X0)
        & v2_lattice3(X0)
        & v25_waybel_0(X0)
        & v24_waybel_0(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
   => ( ? [X1] :
          ( k14_yellow_6(X1,k3_waybel28(X1)) != k14_yellow_6(sK2,k3_waybel28(sK2))
          & g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2))
          & l1_orders_2(X1)
          & v2_lattice3(X1)
          & v25_waybel_0(X1)
          & v24_waybel_0(X1)
          & v4_orders_2(X1)
          & v3_orders_2(X1)
          & v2_orders_2(X1) )
      & l1_orders_2(sK2)
      & v2_lattice3(sK2)
      & v25_waybel_0(sK2)
      & v24_waybel_0(sK2)
      & v4_orders_2(sK2)
      & v3_orders_2(sK2)
      & v2_orders_2(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f222,plain,
    ( ? [X1] :
        ( k14_yellow_6(X1,k3_waybel28(X1)) != k14_yellow_6(sK2,k3_waybel28(sK2))
        & g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2))
        & l1_orders_2(X1)
        & v2_lattice3(X1)
        & v25_waybel_0(X1)
        & v24_waybel_0(X1)
        & v4_orders_2(X1)
        & v3_orders_2(X1)
        & v2_orders_2(X1) )
   => ( k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3))
      & g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
      & l1_orders_2(sK3)
      & v2_lattice3(sK3)
      & v25_waybel_0(sK3)
      & v24_waybel_0(sK3)
      & v4_orders_2(sK3)
      & v3_orders_2(sK3)
      & v2_orders_2(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f223,plain,
    ( k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3))
    & g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
    & l1_orders_2(sK3)
    & v2_lattice3(sK3)
    & v25_waybel_0(sK3)
    & v24_waybel_0(sK3)
    & v4_orders_2(sK3)
    & v3_orders_2(sK3)
    & v2_orders_2(sK3)
    & l1_orders_2(sK2)
    & v2_lattice3(sK2)
    & v25_waybel_0(sK2)
    & v24_waybel_0(sK2)
    & v4_orders_2(sK2)
    & v3_orders_2(sK2)
    & v2_orders_2(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f127,f222,f221]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ r1_tarski(X1,X0)
        | ~ r1_tarski(X0,X1) )
      & ( ( r1_tarski(X1,X0)
          & r1_tarski(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ r1_tarski(X1,X0)
        | ~ r1_tarski(X0,X1) )
      & ( ( r1_tarski(X1,X0)
          & r1_tarski(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f224]) ).

fof(f226,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k14_yellow_6(X0,X1) = X2
                  | u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1)
                  | u1_struct_0(X0) != u1_struct_0(X2) )
                & ( ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
                    & u1_struct_0(X0) = u1_struct_0(X2) )
                  | k14_yellow_6(X0,X1) != X2 ) )
              | ~ l1_pre_topc(X2)
              | ~ v1_pre_topc(X2) )
          | ~ m4_yellow_6(X1,X0) )
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f161]) ).

fof(f227,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k14_yellow_6(X0,X1) = X2
                  | u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1)
                  | u1_struct_0(X0) != u1_struct_0(X2) )
                & ( ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
                    & u1_struct_0(X0) = u1_struct_0(X2) )
                  | k14_yellow_6(X0,X1) != X2 ) )
              | ~ l1_pre_topc(X2)
              | ~ v1_pre_topc(X2) )
          | ~ m4_yellow_6(X1,X0) )
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f226]) ).

fof(f296,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(X2,X0,X1)
        | ~ m1_relset_1(X2,X0,X1) )
      & ( m1_relset_1(X2,X0,X1)
        | ~ m2_relset_1(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f301,plain,
    v2_orders_2(sK2),
    inference(cnf_transformation,[],[f223]) ).

fof(f302,plain,
    v3_orders_2(sK2),
    inference(cnf_transformation,[],[f223]) ).

fof(f303,plain,
    v4_orders_2(sK2),
    inference(cnf_transformation,[],[f223]) ).

fof(f304,plain,
    v24_waybel_0(sK2),
    inference(cnf_transformation,[],[f223]) ).

fof(f305,plain,
    v25_waybel_0(sK2),
    inference(cnf_transformation,[],[f223]) ).

fof(f306,plain,
    v2_lattice3(sK2),
    inference(cnf_transformation,[],[f223]) ).

fof(f307,plain,
    l1_orders_2(sK2),
    inference(cnf_transformation,[],[f223]) ).

fof(f308,plain,
    v2_orders_2(sK3),
    inference(cnf_transformation,[],[f223]) ).

fof(f309,plain,
    v3_orders_2(sK3),
    inference(cnf_transformation,[],[f223]) ).

fof(f310,plain,
    v4_orders_2(sK3),
    inference(cnf_transformation,[],[f223]) ).

fof(f311,plain,
    v24_waybel_0(sK3),
    inference(cnf_transformation,[],[f223]) ).

fof(f312,plain,
    v25_waybel_0(sK3),
    inference(cnf_transformation,[],[f223]) ).

fof(f313,plain,
    v2_lattice3(sK3),
    inference(cnf_transformation,[],[f223]) ).

fof(f314,plain,
    l1_orders_2(sK3),
    inference(cnf_transformation,[],[f223]) ).

fof(f315,plain,
    g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)),
    inference(cnf_transformation,[],[f223]) ).

fof(f316,plain,
    k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3)),
    inference(cnf_transformation,[],[f223]) ).

fof(f318,plain,
    ! [X0] :
      ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
      | ~ v1_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f335,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ r1_tarski(X1,X0)
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f225]) ).

fof(f351,plain,
    ! [X2,X0,X1] :
      ( u1_struct_0(X0) = u1_struct_0(X2)
      | k14_yellow_6(X0,X1) != X2
      | ~ l1_pre_topc(X2)
      | ~ v1_pre_topc(X2)
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( l1_pre_topc(k14_yellow_6(X0,X1))
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f361,plain,
    ! [X0] :
      ( m4_yellow_6(k3_waybel28(X0),X0)
      | ~ l1_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f362,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f366,plain,
    ! [X0] :
      ( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f384,plain,
    ! [X0,X1] :
      ( v1_pre_topc(k14_yellow_6(X0,X1))
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( v1_pre_topc(k14_yellow_6(X0,X1))
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f409,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X2
      | g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
      | ~ m1_relset_1(X1,X0,X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f410,plain,
    ! [X2,X3,X0,X1] :
      ( X1 = X3
      | g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
      | ~ m1_relset_1(X1,X0,X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f413,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))
      | ~ l1_orders_2(X1)
      | ~ v2_lattice3(X1)
      | ~ v25_waybel_0(X1)
      | ~ v24_waybel_0(X1)
      | ~ v4_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v2_orders_2(X1)
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v25_waybel_0(X0)
      | ~ v24_waybel_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f473,plain,
    ! [X2,X0,X1] :
      ( m1_relset_1(X2,X0,X1)
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1))
      | ~ l1_pre_topc(k14_yellow_6(X0,X1))
      | ~ v1_pre_topc(k14_yellow_6(X0,X1))
      | ~ m4_yellow_6(X1,X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f351]) ).

cnf(c_49,negated_conjecture,
    k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3)),
    inference(cnf_transformation,[],[f316]) ).

cnf(c_50,negated_conjecture,
    g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)),
    inference(cnf_transformation,[],[f315]) ).

cnf(c_51,negated_conjecture,
    l1_orders_2(sK3),
    inference(cnf_transformation,[],[f314]) ).

cnf(c_52,negated_conjecture,
    v2_lattice3(sK3),
    inference(cnf_transformation,[],[f313]) ).

cnf(c_53,negated_conjecture,
    v25_waybel_0(sK3),
    inference(cnf_transformation,[],[f312]) ).

cnf(c_54,negated_conjecture,
    v24_waybel_0(sK3),
    inference(cnf_transformation,[],[f311]) ).

cnf(c_55,negated_conjecture,
    v4_orders_2(sK3),
    inference(cnf_transformation,[],[f310]) ).

cnf(c_56,negated_conjecture,
    v3_orders_2(sK3),
    inference(cnf_transformation,[],[f309]) ).

cnf(c_57,negated_conjecture,
    v2_orders_2(sK3),
    inference(cnf_transformation,[],[f308]) ).

cnf(c_58,negated_conjecture,
    l1_orders_2(sK2),
    inference(cnf_transformation,[],[f307]) ).

cnf(c_59,negated_conjecture,
    v2_lattice3(sK2),
    inference(cnf_transformation,[],[f306]) ).

cnf(c_60,negated_conjecture,
    v25_waybel_0(sK2),
    inference(cnf_transformation,[],[f305]) ).

cnf(c_61,negated_conjecture,
    v24_waybel_0(sK2),
    inference(cnf_transformation,[],[f304]) ).

cnf(c_62,negated_conjecture,
    v4_orders_2(sK2),
    inference(cnf_transformation,[],[f303]) ).

cnf(c_63,negated_conjecture,
    v3_orders_2(sK2),
    inference(cnf_transformation,[],[f302]) ).

cnf(c_64,negated_conjecture,
    v2_orders_2(sK2),
    inference(cnf_transformation,[],[f301]) ).

cnf(c_66,plain,
    ( ~ v1_pre_topc(X0)
    | ~ l1_pre_topc(X0)
    | g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0 ),
    inference(cnf_transformation,[],[f318]) ).

cnf(c_76,plain,
    ( ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f335]) ).

cnf(c_86,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ r1_tarski(X1,X0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f350]) ).

cnf(c_91,plain,
    ( ~ v1_pre_topc(k14_yellow_6(X0,X1))
    | ~ l1_pre_topc(k14_yellow_6(X0,X1))
    | ~ m4_yellow_6(X1,X0)
    | ~ l1_struct_0(X0)
    | u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f492]) ).

cnf(c_96,plain,
    ( ~ m4_yellow_6(X0,X1)
    | ~ l1_struct_0(X1)
    | l1_pre_topc(k14_yellow_6(X1,X0))
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f360]) ).

cnf(c_98,plain,
    ( ~ l1_orders_2(X0)
    | m4_yellow_6(k3_waybel28(X0),X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_99,plain,
    ( ~ l1_orders_2(X0)
    | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f362]) ).

cnf(c_103,plain,
    ( ~ l1_orders_2(X0)
    | m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f366]) ).

cnf(c_120,plain,
    ( ~ m4_yellow_6(X0,X1)
    | ~ l1_struct_0(X1)
    | v1_pre_topc(k14_yellow_6(X1,X0))
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_123,plain,
    ( ~ m4_yellow_6(X0,X1)
    | ~ l1_struct_0(X1)
    | v1_pre_topc(k14_yellow_6(X1,X0))
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f386]) ).

cnf(c_146,plain,
    ( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
    | ~ m1_relset_1(X1,X0,X0)
    | X1 = X3 ),
    inference(cnf_transformation,[],[f410]) ).

cnf(c_147,plain,
    ( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
    | ~ m1_relset_1(X1,X0,X0)
    | X0 = X2 ),
    inference(cnf_transformation,[],[f409]) ).

cnf(c_150,plain,
    ( 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(X0)
    | ~ l1_orders_2(X1)
    | ~ v2_lattice3(X0)
    | ~ v2_lattice3(X1)
    | ~ v25_waybel_0(X0)
    | ~ v25_waybel_0(X1)
    | ~ v24_waybel_0(X0)
    | ~ v24_waybel_0(X1)
    | ~ v4_orders_2(X0)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X0)
    | ~ v3_orders_2(X1)
    | ~ v2_orders_2(X0)
    | ~ v2_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)))) ),
    inference(cnf_transformation,[],[f413]) ).

cnf(c_211,plain,
    ( ~ m2_relset_1(X0,X1,X2)
    | m1_relset_1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_345,plain,
    ( ~ m2_relset_1(X0,X1,X2)
    | m1_relset_1(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_211]) ).

cnf(c_349,plain,
    ( ~ l1_orders_2(X0)
    | m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_103]) ).

cnf(c_1289,plain,
    ( ~ v1_pre_topc(k14_yellow_6(X0,X1))
    | ~ m4_yellow_6(X1,X0)
    | ~ l1_struct_0(X0)
    | u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0)
    | v3_struct_0(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_91,c_96]) ).

cnf(c_1301,plain,
    ( ~ m4_yellow_6(X0,X1)
    | ~ l1_struct_0(X1)
    | u1_struct_0(k14_yellow_6(X1,X0)) = u1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1289,c_120]) ).

cnf(c_2280,plain,
    ( u1_struct_0(X0) != X2
    | u1_struct_0(X0) != X3
    | u1_orders_2(X0) != X1
    | ~ l1_orders_2(X0)
    | m1_relset_1(X1,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_345,c_349]) ).

cnf(c_2281,plain,
    ( ~ l1_orders_2(X0)
    | m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    inference(unflattening,[status(thm)],[c_2280]) ).

cnf(c_5907,plain,
    ( ~ l1_orders_2(X0)
    | m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_2281]) ).

cnf(c_10550,plain,
    u1_struct_0(sK2) = sP0_iProver_def,
    definition ).

cnf(c_10551,plain,
    u1_orders_2(sK2) = sP1_iProver_def,
    definition ).

cnf(c_10552,plain,
    g1_orders_2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_10553,plain,
    u1_struct_0(sK3) = sP3_iProver_def,
    definition ).

cnf(c_10554,plain,
    u1_orders_2(sK3) = sP4_iProver_def,
    definition ).

cnf(c_10555,plain,
    g1_orders_2(sP3_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_10556,plain,
    k3_waybel28(sK2) = sP6_iProver_def,
    definition ).

cnf(c_10557,plain,
    k14_yellow_6(sK2,sP6_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_10558,plain,
    k3_waybel28(sK3) = sP8_iProver_def,
    definition ).

cnf(c_10559,plain,
    k14_yellow_6(sK3,sP8_iProver_def) = sP9_iProver_def,
    definition ).

cnf(c_10560,negated_conjecture,
    v2_orders_2(sK2),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_10561,negated_conjecture,
    v3_orders_2(sK2),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_10562,negated_conjecture,
    v4_orders_2(sK2),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_10563,negated_conjecture,
    v24_waybel_0(sK2),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_10564,negated_conjecture,
    v25_waybel_0(sK2),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_10565,negated_conjecture,
    v2_lattice3(sK2),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_10566,negated_conjecture,
    l1_orders_2(sK2),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_10567,negated_conjecture,
    v2_orders_2(sK3),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_10568,negated_conjecture,
    v3_orders_2(sK3),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_10569,negated_conjecture,
    v4_orders_2(sK3),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_10570,negated_conjecture,
    v24_waybel_0(sK3),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_10571,negated_conjecture,
    v25_waybel_0(sK3),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_10572,negated_conjecture,
    v2_lattice3(sK3),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_10573,negated_conjecture,
    l1_orders_2(sK3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_10574,negated_conjecture,
    sP2_iProver_def = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_10554,c_10553,c_10555,c_10551,c_10550,c_10552]) ).

cnf(c_10575,negated_conjecture,
    sP7_iProver_def != sP9_iProver_def,
    inference(demodulation,[status(thm)],[c_49,c_10558,c_10559,c_10556,c_10557]) ).

cnf(c_12947,plain,
    l1_struct_0(sK3),
    inference(superposition,[status(thm)],[c_10573,c_99]) ).

cnf(c_12948,plain,
    l1_struct_0(sK2),
    inference(superposition,[status(thm)],[c_10566,c_99]) ).

cnf(c_12972,plain,
    g1_orders_2(sP3_iProver_def,sP4_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_10555,c_10574]) ).

cnf(c_13058,plain,
    ( ~ v2_lattice3(sK3)
    | ~ v3_struct_0(sK3) ),
    inference(superposition,[status(thm)],[c_10573,c_76]) ).

cnf(c_13059,plain,
    ( ~ v2_lattice3(sK2)
    | ~ v3_struct_0(sK2) ),
    inference(superposition,[status(thm)],[c_10566,c_76]) ).

cnf(c_13064,plain,
    ~ v3_struct_0(sK2),
    inference(forward_subsumption_resolution,[status(thm)],[c_13059,c_10565]) ).

cnf(c_13065,plain,
    ~ v3_struct_0(sK3),
    inference(forward_subsumption_resolution,[status(thm)],[c_13058,c_10572]) ).

cnf(c_13120,plain,
    ( ~ l1_orders_2(sK2)
    | m4_yellow_6(sP6_iProver_def,sK2)
    | v3_struct_0(sK2) ),
    inference(superposition,[status(thm)],[c_10556,c_98]) ).

cnf(c_13121,plain,
    ( ~ l1_orders_2(sK3)
    | m4_yellow_6(sP8_iProver_def,sK3)
    | v3_struct_0(sK3) ),
    inference(superposition,[status(thm)],[c_10558,c_98]) ).

cnf(c_13122,plain,
    m4_yellow_6(sP8_iProver_def,sK3),
    inference(forward_subsumption_resolution,[status(thm)],[c_13121,c_13065,c_10573]) ).

cnf(c_13123,plain,
    m4_yellow_6(sP6_iProver_def,sK2),
    inference(forward_subsumption_resolution,[status(thm)],[c_13120,c_13064,c_10566]) ).

cnf(c_13463,plain,
    ( ~ l1_orders_2(sK3)
    | m1_relset_1(u1_orders_2(sK3),sP3_iProver_def,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_10553,c_5907]) ).

cnf(c_13466,plain,
    ( ~ l1_orders_2(sK3)
    | m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_13463,c_10554]) ).

cnf(c_13467,plain,
    m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_13466,c_10573]) ).

cnf(c_13742,plain,
    ( ~ m4_yellow_6(sP6_iProver_def,sK2)
    | ~ l1_struct_0(sK2)
    | l1_pre_topc(sP7_iProver_def)
    | v3_struct_0(sK2) ),
    inference(superposition,[status(thm)],[c_10557,c_96]) ).

cnf(c_13743,plain,
    ( ~ m4_yellow_6(sP8_iProver_def,sK3)
    | ~ l1_struct_0(sK3)
    | l1_pre_topc(sP9_iProver_def)
    | v3_struct_0(sK3) ),
    inference(superposition,[status(thm)],[c_10559,c_96]) ).

cnf(c_13746,plain,
    l1_pre_topc(sP9_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_13743,c_13065,c_12947,c_13122]) ).

cnf(c_13747,plain,
    l1_pre_topc(sP7_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_13742,c_13064,c_12948,c_13123]) ).

cnf(c_13816,plain,
    ( ~ m4_yellow_6(sP6_iProver_def,sK2)
    | ~ l1_struct_0(sK2)
    | v1_pre_topc(sP7_iProver_def)
    | v3_struct_0(sK2) ),
    inference(superposition,[status(thm)],[c_10557,c_123]) ).

cnf(c_13817,plain,
    ( ~ m4_yellow_6(sP8_iProver_def,sK3)
    | ~ l1_struct_0(sK3)
    | v1_pre_topc(sP9_iProver_def)
    | v3_struct_0(sK3) ),
    inference(superposition,[status(thm)],[c_10559,c_123]) ).

cnf(c_13818,plain,
    v1_pre_topc(sP9_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_13817,c_13065,c_12947,c_13122]) ).

cnf(c_13819,plain,
    v1_pre_topc(sP7_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_13816,c_13064,c_12948,c_13123]) ).

cnf(c_13888,plain,
    ( ~ l1_pre_topc(sP9_iProver_def)
    | g1_pre_topc(u1_struct_0(sP9_iProver_def),u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_13818,c_66]) ).

cnf(c_13889,plain,
    g1_pre_topc(u1_struct_0(sP9_iProver_def),u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_13888,c_13746]) ).

cnf(c_13892,plain,
    ( ~ l1_pre_topc(sP7_iProver_def)
    | g1_pre_topc(u1_struct_0(sP7_iProver_def),u1_pre_topc(sP7_iProver_def)) = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_13819,c_66]) ).

cnf(c_13893,plain,
    g1_pre_topc(u1_struct_0(sP7_iProver_def),u1_pre_topc(sP7_iProver_def)) = sP7_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_13892,c_13747]) ).

cnf(c_14603,plain,
    ( ~ l1_struct_0(sK2)
    | u1_struct_0(k14_yellow_6(sK2,sP6_iProver_def)) = u1_struct_0(sK2)
    | v3_struct_0(sK2) ),
    inference(superposition,[status(thm)],[c_13123,c_1301]) ).

cnf(c_14604,plain,
    ( ~ l1_struct_0(sK3)
    | u1_struct_0(k14_yellow_6(sK3,sP8_iProver_def)) = u1_struct_0(sK3)
    | v3_struct_0(sK3) ),
    inference(superposition,[status(thm)],[c_13122,c_1301]) ).

cnf(c_14605,plain,
    ( ~ l1_struct_0(sK3)
    | u1_struct_0(sP9_iProver_def) = sP3_iProver_def
    | v3_struct_0(sK3) ),
    inference(light_normalisation,[status(thm)],[c_14604,c_10553,c_10559]) ).

cnf(c_14606,plain,
    u1_struct_0(sP9_iProver_def) = sP3_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_14605,c_13065,c_12947]) ).

cnf(c_14607,plain,
    ( ~ l1_struct_0(sK2)
    | u1_struct_0(sP7_iProver_def) = sP0_iProver_def
    | v3_struct_0(sK2) ),
    inference(light_normalisation,[status(thm)],[c_14603,c_10550,c_10557]) ).

cnf(c_14608,plain,
    u1_struct_0(sP7_iProver_def) = sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_14607,c_13064,c_12948]) ).

cnf(c_14616,plain,
    g1_pre_topc(sP3_iProver_def,u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def,
    inference(demodulation,[status(thm)],[c_13889,c_14606]) ).

cnf(c_14617,plain,
    g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP7_iProver_def)) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_13893,c_14608]) ).

cnf(c_14841,plain,
    ( g1_orders_2(X0,X1) != sP2_iProver_def
    | ~ m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def)
    | X1 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_12972,c_146]) ).

cnf(c_14858,plain,
    ( g1_orders_2(X0,X1) != sP2_iProver_def
    | X1 = sP4_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14841,c_13467]) ).

cnf(c_14906,plain,
    ( g1_orders_2(X0,X1) != sP2_iProver_def
    | ~ m1_relset_1(sP4_iProver_def,sP3_iProver_def,sP3_iProver_def)
    | X0 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_12972,c_147]) ).

cnf(c_14923,plain,
    ( g1_orders_2(X0,X1) != sP2_iProver_def
    | X0 = sP3_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14906,c_13467]) ).

cnf(c_15103,plain,
    sP1_iProver_def = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_10552,c_14858]) ).

cnf(c_15122,plain,
    u1_orders_2(sK3) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_10554,c_15103]) ).

cnf(c_15185,plain,
    sP0_iProver_def = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_10552,c_14923]) ).

cnf(c_15233,plain,
    u1_struct_0(sK3) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_10553,c_15185]) ).

cnf(c_15583,plain,
    ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK2),sP1_iProver_def)
    | ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v25_waybel_0(X0)
    | ~ v24_waybel_0(X0)
    | ~ v4_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v2_orders_2(X0)
    | ~ l1_orders_2(sK2)
    | ~ v2_lattice3(sK2)
    | ~ v25_waybel_0(sK2)
    | ~ v24_waybel_0(sK2)
    | ~ v4_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | r1_tarski(u1_pre_topc(k14_yellow_6(sK2,k3_waybel28(sK2))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
    inference(superposition,[status(thm)],[c_10551,c_150]) ).

cnf(c_15590,plain,
    ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK2),sP1_iProver_def)
    | ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v25_waybel_0(X0)
    | ~ v24_waybel_0(X0)
    | ~ v4_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v2_orders_2(X0)
    | ~ l1_orders_2(sK2)
    | ~ v2_lattice3(sK2)
    | ~ v25_waybel_0(sK2)
    | ~ v24_waybel_0(sK2)
    | ~ v4_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK2,k3_waybel28(sK2)))) ),
    inference(superposition,[status(thm)],[c_10551,c_150]) ).

cnf(c_15639,plain,
    ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sP2_iProver_def
    | ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v25_waybel_0(X0)
    | ~ v24_waybel_0(X0)
    | ~ v4_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v2_orders_2(X0)
    | ~ l1_orders_2(sK2)
    | ~ v2_lattice3(sK2)
    | ~ v25_waybel_0(sK2)
    | ~ v24_waybel_0(sK2)
    | ~ v4_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(sP7_iProver_def)) ),
    inference(light_normalisation,[status(thm)],[c_15590,c_10550,c_10552,c_10556,c_10557]) ).

cnf(c_15640,plain,
    ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sP2_iProver_def
    | ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v25_waybel_0(X0)
    | ~ v24_waybel_0(X0)
    | ~ v4_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v2_orders_2(X0)
    | r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(sP7_iProver_def)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15639,c_10560,c_10561,c_10562,c_10563,c_10564,c_10565,c_10566]) ).

cnf(c_15684,plain,
    ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sP2_iProver_def
    | ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v25_waybel_0(X0)
    | ~ v24_waybel_0(X0)
    | ~ v4_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v2_orders_2(X0)
    | ~ l1_orders_2(sK2)
    | ~ v2_lattice3(sK2)
    | ~ v25_waybel_0(sK2)
    | ~ v24_waybel_0(sK2)
    | ~ v4_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
    inference(light_normalisation,[status(thm)],[c_15583,c_10550,c_10552,c_10556,c_10557]) ).

cnf(c_15685,plain,
    ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sP2_iProver_def
    | ~ l1_orders_2(X0)
    | ~ v2_lattice3(X0)
    | ~ v25_waybel_0(X0)
    | ~ v24_waybel_0(X0)
    | ~ v4_orders_2(X0)
    | ~ v3_orders_2(X0)
    | ~ v2_orders_2(X0)
    | r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15684,c_10560,c_10561,c_10562,c_10563,c_10564,c_10565,c_10566]) ).

cnf(c_16381,plain,
    g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP9_iProver_def)) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_14616,c_15185]) ).

cnf(c_16450,plain,
    ( g1_orders_2(u1_struct_0(sK3),sP1_iProver_def) != sP2_iProver_def
    | ~ l1_orders_2(sK3)
    | ~ v2_lattice3(sK3)
    | ~ v25_waybel_0(sK3)
    | ~ v24_waybel_0(sK3)
    | ~ v4_orders_2(sK3)
    | ~ v3_orders_2(sK3)
    | ~ v2_orders_2(sK3)
    | r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(k14_yellow_6(sK3,k3_waybel28(sK3)))) ),
    inference(superposition,[status(thm)],[c_15122,c_15685]) ).

cnf(c_16451,plain,
    ( g1_orders_2(u1_struct_0(sK3),sP1_iProver_def) != sP2_iProver_def
    | ~ l1_orders_2(sK3)
    | ~ v2_lattice3(sK3)
    | ~ v25_waybel_0(sK3)
    | ~ v24_waybel_0(sK3)
    | ~ v4_orders_2(sK3)
    | ~ v3_orders_2(sK3)
    | ~ v2_orders_2(sK3)
    | r1_tarski(u1_pre_topc(k14_yellow_6(sK3,k3_waybel28(sK3))),u1_pre_topc(sP7_iProver_def)) ),
    inference(superposition,[status(thm)],[c_15122,c_15640]) ).

cnf(c_16458,plain,
    ( sP2_iProver_def != sP2_iProver_def
    | ~ l1_orders_2(sK3)
    | ~ v2_lattice3(sK3)
    | ~ v25_waybel_0(sK3)
    | ~ v24_waybel_0(sK3)
    | ~ v4_orders_2(sK3)
    | ~ v3_orders_2(sK3)
    | ~ v2_orders_2(sK3)
    | r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def)) ),
    inference(light_normalisation,[status(thm)],[c_16451,c_10552,c_10558,c_10559,c_15233]) ).

cnf(c_16459,plain,
    ( ~ l1_orders_2(sK3)
    | ~ v2_lattice3(sK3)
    | ~ v25_waybel_0(sK3)
    | ~ v24_waybel_0(sK3)
    | ~ v4_orders_2(sK3)
    | ~ v3_orders_2(sK3)
    | ~ v2_orders_2(sK3)
    | r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def)) ),
    inference(equality_resolution_simp,[status(thm)],[c_16458]) ).

cnf(c_16460,plain,
    r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_16459,c_10567,c_10568,c_10569,c_10570,c_10571,c_10572,c_10573]) ).

cnf(c_16461,plain,
    ( sP2_iProver_def != sP2_iProver_def
    | ~ l1_orders_2(sK3)
    | ~ v2_lattice3(sK3)
    | ~ v25_waybel_0(sK3)
    | ~ v24_waybel_0(sK3)
    | ~ v4_orders_2(sK3)
    | ~ v3_orders_2(sK3)
    | ~ v2_orders_2(sK3)
    | r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(sP9_iProver_def)) ),
    inference(light_normalisation,[status(thm)],[c_16450,c_10552,c_10558,c_10559,c_15233]) ).

cnf(c_16462,plain,
    ( ~ l1_orders_2(sK3)
    | ~ v2_lattice3(sK3)
    | ~ v25_waybel_0(sK3)
    | ~ v24_waybel_0(sK3)
    | ~ v4_orders_2(sK3)
    | ~ v3_orders_2(sK3)
    | ~ v2_orders_2(sK3)
    | r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(sP9_iProver_def)) ),
    inference(equality_resolution_simp,[status(thm)],[c_16461]) ).

cnf(c_16463,plain,
    r1_tarski(u1_pre_topc(sP7_iProver_def),u1_pre_topc(sP9_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_16462,c_10567,c_10568,c_10569,c_10570,c_10571,c_10572,c_10573]) ).

cnf(c_16504,plain,
    ( ~ r1_tarski(u1_pre_topc(sP9_iProver_def),u1_pre_topc(sP7_iProver_def))
    | u1_pre_topc(sP7_iProver_def) = u1_pre_topc(sP9_iProver_def) ),
    inference(superposition,[status(thm)],[c_16463,c_86]) ).

cnf(c_16505,plain,
    u1_pre_topc(sP7_iProver_def) = u1_pre_topc(sP9_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_16504,c_16460]) ).

cnf(c_16508,plain,
    g1_pre_topc(sP0_iProver_def,u1_pre_topc(sP7_iProver_def)) = sP9_iProver_def,
    inference(demodulation,[status(thm)],[c_16381,c_16505]) ).

cnf(c_16517,plain,
    sP7_iProver_def = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_16508,c_14617]) ).

cnf(c_16518,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16517,c_10575]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : TOP047+1 : TPTP v8.2.0. Released v3.4.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Jun 18 12:01:54 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  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
% 4.06/1.18  % SZS status Started for theBenchmark.p
% 4.06/1.18  % SZS status Theorem for theBenchmark.p
% 4.06/1.18  
% 4.06/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.06/1.18  
% 4.06/1.18  ------  iProver source info
% 4.06/1.18  
% 4.06/1.18  git: date: 2024-06-12 09:56:46 +0000
% 4.06/1.18  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.06/1.18  git: non_committed_changes: false
% 4.06/1.18  
% 4.06/1.18  ------ Parsing...
% 4.06/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.06/1.18  
% 4.06/1.18  ------ Preprocessing... sup_sim: 2  sf_s  rm: 30 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 9 0s  sf_e  pe_s  pe_e 
% 4.06/1.18  
% 4.06/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.06/1.18  
% 4.06/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.06/1.18  ------ Proving...
% 4.06/1.18  ------ Problem Properties 
% 4.06/1.18  
% 4.06/1.18  
% 4.06/1.18  clauses                                 130
% 4.06/1.18  conjectures                             16
% 4.06/1.18  EPR                                     46
% 4.06/1.18  Horn                                    104
% 4.06/1.18  unary                                   54
% 4.06/1.18  binary                                  29
% 4.06/1.18  lits                                    292
% 4.06/1.18  lits eq                                 35
% 4.06/1.18  fd_pure                                 0
% 4.06/1.18  fd_pseudo                               0
% 4.06/1.18  fd_cond                                 1
% 4.06/1.18  fd_pseudo_cond                          9
% 4.06/1.18  AC symbols                              0
% 4.06/1.18  
% 4.06/1.18  ------ Schedule dynamic 5 is on 
% 4.06/1.18  
% 4.06/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.06/1.18  
% 4.06/1.18  
% 4.06/1.18  ------ 
% 4.06/1.18  Current options:
% 4.06/1.18  ------ 
% 4.06/1.18  
% 4.06/1.18  
% 4.06/1.18  
% 4.06/1.18  
% 4.06/1.18  ------ Proving...
% 4.06/1.18  
% 4.06/1.18  
% 4.06/1.18  % SZS status Theorem for theBenchmark.p
% 4.06/1.18  
% 4.06/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.06/1.18  
% 4.40/1.18  
%------------------------------------------------------------------------------