TSTP Solution File: GRP641+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 : Fri May  3 02:23:13 EDT 2024

% Result   : Theorem 3.36s 1.14s
% Output   : CNFRefutation 3.36s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_group_2(X1,X0)
            & v1_group_1(X1) )
         => r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_group_1(X0)
          & v4_group_1(X0)
          & v3_group_1(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( m1_group_2(X1,X0)
              & v1_group_1(X1) )
           => r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,axiom,
    ! [X0] :
      ( l1_group_1(X0)
     => ( v1_group_1(X0)
       => g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_group_1) ).

fof(f9,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
            & v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
            & v1_funct_1(X1) )
         => ( k1_latsubgr(X0) = X1
          <=> ! [X2] :
                ( ( m1_group_2(X2,X0)
                  & v1_group_1(X2) )
               => k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X1) )
     => ( l1_group_1(g1_group_1(X0,X1))
        & v1_group_1(g1_group_1(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_group_1) ).

fof(f13,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_1(k1_latsubgr(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).

fof(f16,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).

fof(f18,axiom,
    ! [X0] :
      ( l1_group_1(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).

fof(f20,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_group_2(X1,X0)
         => ( l1_group_1(X1)
            & v3_group_1(X1)
            & ~ v3_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).

fof(f24,axiom,
    ! [X0] :
      ( l1_group_1(X0)
     => ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u1_group_1(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_group_1) ).

fof(f33,axiom,
    ! [X0] :
      ( ( l1_struct_0(X0)
        & ~ v3_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f46,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
     => ( r2_hidden(X0,X1)
        | v1_xboole_0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f52,axiom,
    ! [X0] :
      ( ( l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_group_2(X1,X0)
         => k2_group_1(X0) = k2_group_1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_group_2) ).

fof(f62,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
          & m1_group_2(X1,X0)
          & v1_group_1(X1) )
      & l1_group_1(X0)
      & v4_group_1(X0)
      & v3_group_1(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f63,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
          & m1_group_2(X1,X0)
          & v1_group_1(X1) )
      & l1_group_1(X0)
      & v4_group_1(X0)
      & v3_group_1(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f62]) ).

fof(f64,plain,
    ! [X0] :
      ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
      | ~ v1_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f65,plain,
    ! [X0] :
      ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
      | ~ v1_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f64]) ).

fof(f73,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( k1_latsubgr(X0) = X1
          <=> ! [X2] :
                ( k1_funct_1(X1,X2) = u1_struct_0(X2)
                | ~ m1_group_2(X2,X0)
                | ~ v1_group_1(X2) ) )
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_1(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f74,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( k1_latsubgr(X0) = X1
          <=> ! [X2] :
                ( k1_funct_1(X1,X2) = u1_struct_0(X2)
                | ~ m1_group_2(X2,X0)
                | ~ v1_group_1(X2) ) )
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_1(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f73]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ( l1_group_1(g1_group_1(X0,X1))
        & v1_group_1(g1_group_1(X0,X1)) )
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( l1_group_1(g1_group_1(X0,X1))
        & v1_group_1(g1_group_1(X0,X1)) )
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(flattening,[],[f75]) ).

fof(f77,plain,
    ! [X0] :
      ( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_1(k1_latsubgr(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f78,plain,
    ! [X0] :
      ( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_funct_1(k1_latsubgr(X0)) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f77]) ).

fof(f79,plain,
    ! [X0] :
      ( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f80,plain,
    ! [X0] :
      ( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f79]) ).

fof(f81,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( l1_group_1(X1)
            & v3_group_1(X1)
            & ~ v3_struct_0(X1) )
          | ~ m1_group_2(X1,X0) )
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f83,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( l1_group_1(X1)
            & v3_group_1(X1)
            & ~ v3_struct_0(X1) )
          | ~ m1_group_2(X1,X0) )
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f82]) ).

fof(f85,plain,
    ! [X0] :
      ( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u1_group_1(X0)) )
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(flattening,[],[f100]) ).

fof(f105,plain,
    ! [X0] :
      ( ! [X1] :
          ( k2_group_1(X0) = k2_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( k2_group_1(X0) = k2_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f105]) ).

fof(f111,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
            & m1_group_2(X1,X0)
            & v1_group_1(X1) )
        & l1_group_1(X0)
        & v4_group_1(X0)
        & v3_group_1(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),X1))
          & m1_group_2(X1,sK0)
          & v1_group_1(X1) )
      & l1_group_1(sK0)
      & v4_group_1(sK0)
      & v3_group_1(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f112,plain,
    ( ? [X1] :
        ( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),X1))
        & m1_group_2(X1,sK0)
        & v1_group_1(X1) )
   => ( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
      & m1_group_2(sK1,sK0)
      & v1_group_1(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
    & m1_group_2(sK1,sK0)
    & v1_group_1(sK1)
    & l1_group_1(sK0)
    & v4_group_1(sK0)
    & v3_group_1(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f63,f112,f111]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( k1_latsubgr(X0) = X1
              | ? [X2] :
                  ( k1_funct_1(X1,X2) != u1_struct_0(X2)
                  & m1_group_2(X2,X0)
                  & v1_group_1(X2) ) )
            & ( ! [X2] :
                  ( k1_funct_1(X1,X2) = u1_struct_0(X2)
                  | ~ m1_group_2(X2,X0)
                  | ~ v1_group_1(X2) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_1(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f74]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( k1_latsubgr(X0) = X1
              | ? [X2] :
                  ( k1_funct_1(X1,X2) != u1_struct_0(X2)
                  & m1_group_2(X2,X0)
                  & v1_group_1(X2) ) )
            & ( ! [X3] :
                  ( k1_funct_1(X1,X3) = u1_struct_0(X3)
                  | ~ m1_group_2(X3,X0)
                  | ~ v1_group_1(X3) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_1(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(rectify,[],[f114]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( k1_funct_1(X1,X2) != u1_struct_0(X2)
          & m1_group_2(X2,X0)
          & v1_group_1(X2) )
     => ( k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
        & m1_group_2(sK2(X0,X1),X0)
        & v1_group_1(sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( k1_latsubgr(X0) = X1
              | ( k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
                & m1_group_2(sK2(X0,X1),X0)
                & v1_group_1(sK2(X0,X1)) ) )
            & ( ! [X3] :
                  ( k1_funct_1(X1,X3) = u1_struct_0(X3)
                  | ~ m1_group_2(X3,X0)
                  | ~ v1_group_1(X3) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_funct_1(X1) )
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f115,f116]) ).

fof(f146,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,[],[f46]) ).

fof(f147,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f113]) ).

fof(f148,plain,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f113]) ).

fof(f149,plain,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f113]) ).

fof(f150,plain,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f113]) ).

fof(f151,plain,
    v1_group_1(sK1),
    inference(cnf_transformation,[],[f113]) ).

fof(f152,plain,
    m1_group_2(sK1,sK0),
    inference(cnf_transformation,[],[f113]) ).

fof(f153,plain,
    ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1)),
    inference(cnf_transformation,[],[f113]) ).

fof(f154,plain,
    ! [X0] :
      ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
      | ~ v1_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f165,plain,
    ! [X3,X0,X1] :
      ( k1_funct_1(X1,X3) = u1_struct_0(X3)
      | ~ m1_group_2(X3,X0)
      | ~ v1_group_1(X3)
      | k1_latsubgr(X0) != X1
      | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_funct_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( l1_group_1(g1_group_1(X0,X1))
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f171,plain,
    ! [X0] :
      ( v1_funct_1(k1_latsubgr(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f172,plain,
    ! [X0] :
      ( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f173,plain,
    ! [X0] :
      ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f174,plain,
    ! [X0] :
      ( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f175,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ v3_struct_0(X1)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( l1_group_1(X1)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f180,plain,
    ! [X0] :
      ( v1_funct_1(u1_group_1(X0))
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f181,plain,
    ! [X0] :
      ( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f182,plain,
    ! [X0] :
      ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f190,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f211,plain,
    ! [X2,X0,X1] :
      ( m1_relset_1(X2,X0,X1)
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( k2_group_1(X0) = k2_group_1(X1)
      | ~ m1_group_2(X1,X0)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f223,plain,
    ! [X3,X0] :
      ( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
      | ~ m1_group_2(X3,X0)
      | ~ v1_group_1(X3)
      | ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_funct_1(k1_latsubgr(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f165]) ).

cnf(c_49,negated_conjecture,
    ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1)),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_50,negated_conjecture,
    m1_group_2(sK1,sK0),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_51,negated_conjecture,
    v1_group_1(sK1),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_52,negated_conjecture,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_53,negated_conjecture,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_54,negated_conjecture,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_55,negated_conjecture,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_56,plain,
    ( ~ v1_group_1(X0)
    | ~ l1_group_1(X0)
    | g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_65,plain,
    ( ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m1_group_2(X1,X0)
    | ~ v1_funct_1(k1_latsubgr(X0))
    | ~ v1_group_1(X1)
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0)
    | k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_66,plain,
    ( ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X0)
    | l1_group_1(g1_group_1(X1,X0)) ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_68,plain,
    ( ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0)
    | m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_69,plain,
    ( ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0)
    | v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_70,plain,
    ( ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0)
    | v1_funct_1(k1_latsubgr(X0))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_71,plain,
    ( ~ l1_group_1(X0)
    | m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_72,plain,
    ( ~ l1_group_1(X0)
    | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_73,plain,
    ( ~ m1_group_2(X0,X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | l1_group_1(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_75,plain,
    ( ~ m1_group_2(X0,X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_77,plain,
    ( ~ l1_group_1(X0)
    | m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_78,plain,
    ( ~ l1_group_1(X0)
    | v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_79,plain,
    ( ~ l1_group_1(X0)
    | v1_funct_1(u1_group_1(X0)) ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_87,plain,
    ( ~ v1_xboole_0(u1_struct_0(X0))
    | ~ l1_struct_0(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_109,plain,
    ( ~ m2_relset_1(X0,X1,X2)
    | m1_relset_1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_112,plain,
    ( ~ m1_subset_1(X0,X1)
    | r2_hidden(X0,X1)
    | v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_115,plain,
    ( ~ m1_group_2(X0,X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | k2_group_1(X0) = k2_group_1(X1)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_171,plain,
    ( ~ m1_group_2(X1,X0)
    | ~ v1_group_1(X1)
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0)
    | k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
    | v3_struct_0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_70,c_69,c_68,c_65]) ).

cnf(c_172,plain,
    ( ~ m1_group_2(X0,X1)
    | ~ v1_group_1(X0)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | k1_funct_1(k1_latsubgr(X1),X0) = u1_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(renaming,[status(thm)],[c_171]) ).

cnf(c_176,plain,
    ( ~ m2_relset_1(X0,X1,X2)
    | m1_relset_1(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_109]) ).

cnf(c_178,plain,
    ( ~ l1_group_1(X0)
    | l1_struct_0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_72]) ).

cnf(c_180,plain,
    ( ~ l1_group_1(X0)
    | m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_77]) ).

cnf(c_182,plain,
    ( ~ l1_group_1(X0)
    | v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_78]) ).

cnf(c_1122,plain,
    ( X0 != X1
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_group_1(X0)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_178,c_87]) ).

cnf(c_1123,plain,
    ( ~ v1_xboole_0(u1_struct_0(X0))
    | ~ l1_group_1(X0)
    | v3_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_1122]) ).

cnf(c_1411,plain,
    ( X0 != sK0
    | ~ m1_group_2(X1,X0)
    | ~ v1_group_1(X1)
    | ~ l1_group_1(X0)
    | ~ v3_group_1(X0)
    | k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_172]) ).

cnf(c_1412,plain,
    ( ~ m1_group_2(X0,sK0)
    | ~ v1_group_1(X0)
    | ~ l1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1411]) ).

cnf(c_1414,plain,
    ( k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0)
    | ~ v1_group_1(X0)
    | ~ m1_group_2(X0,sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_1412,c_54,c_52,c_55,c_1412]) ).

cnf(c_1415,plain,
    ( ~ m1_group_2(X0,sK0)
    | ~ v1_group_1(X0)
    | k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0) ),
    inference(renaming,[status(thm)],[c_1414]) ).

cnf(c_1426,plain,
    ( X0 != sK0
    | ~ m1_group_2(X1,X0)
    | ~ l1_group_1(X0)
    | ~ v3_group_1(X0)
    | k2_group_1(X0) = k2_group_1(X1)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_115]) ).

cnf(c_1427,plain,
    ( ~ m1_group_2(X0,sK0)
    | ~ l1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | k2_group_1(sK0) = k2_group_1(X0)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1426]) ).

cnf(c_1429,plain,
    ( k2_group_1(sK0) = k2_group_1(X0)
    | ~ m1_group_2(X0,sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_1427,c_54,c_52,c_55,c_1427]) ).

cnf(c_1430,plain,
    ( ~ m1_group_2(X0,sK0)
    | k2_group_1(sK0) = k2_group_1(X0) ),
    inference(renaming,[status(thm)],[c_1429]) ).

cnf(c_1941,plain,
    ( X0 != sK0
    | X1 != sK1
    | ~ l1_group_1(X0)
    | ~ v3_group_1(X0)
    | ~ v3_struct_0(X1)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_75]) ).

cnf(c_1942,plain,
    ( ~ l1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v3_struct_0(sK1)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1941]) ).

cnf(c_1955,plain,
    ( X0 != sK0
    | X1 != sK1
    | ~ l1_group_1(X0)
    | ~ v3_group_1(X0)
    | l1_group_1(X1)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_73]) ).

cnf(c_1956,plain,
    ( ~ l1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | l1_group_1(sK1)
    | v3_struct_0(sK0) ),
    inference(unflattening,[status(thm)],[c_1955]) ).

cnf(c_2231,plain,
    ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
    | u1_struct_0(X0) != X3
    | u1_group_1(X0) != X1
    | ~ l1_group_1(X0)
    | m1_relset_1(X1,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_176,c_180]) ).

cnf(c_2232,plain,
    ( ~ l1_group_1(X0)
    | m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(unflattening,[status(thm)],[c_2231]) ).

cnf(c_2691,plain,
    ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(X1,X1)
    | u1_struct_0(X0) != X1
    | u1_group_1(X0) != X2
    | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ l1_group_1(X0)
    | ~ v1_funct_1(X2)
    | l1_group_1(g1_group_1(X1,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_66,c_182]) ).

cnf(c_2692,plain,
    ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))
    | ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
    | ~ v1_funct_1(u1_group_1(X0))
    | ~ l1_group_1(X0)
    | l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) ),
    inference(unflattening,[status(thm)],[c_2691]) ).

cnf(c_2694,plain,
    ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))
    | ~ l1_group_1(X0)
    | l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_2692,c_79,c_2232,c_2692]) ).

cnf(c_4801,plain,
    k2_group_1(sK0) = sP2_iProver_def,
    definition ).

cnf(c_4802,plain,
    k1_latsubgr(sK0) = sP3_iProver_def,
    definition ).

cnf(c_4803,plain,
    k1_funct_1(sP3_iProver_def,sK1) = sP4_iProver_def,
    definition ).

cnf(c_4804,negated_conjecture,
    ~ v3_struct_0(sK0),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_4805,negated_conjecture,
    v3_group_1(sK0),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_4806,negated_conjecture,
    l1_group_1(sK0),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_4807,negated_conjecture,
    v1_group_1(sK1),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_4808,negated_conjecture,
    m1_group_2(sK1,sK0),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_4809,negated_conjecture,
    ~ r2_hidden(sP2_iProver_def,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_4802,c_4803,c_4801]) ).

cnf(c_5963,plain,
    ( ~ l1_group_1(X0)
    | l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0))) ),
    inference(equality_resolution_simp,[status(thm)],[c_2694]) ).

cnf(c_5971,plain,
    ( ~ m1_group_2(X0,sK0)
    | k2_group_1(X0) = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1430,c_4801]) ).

cnf(c_5974,plain,
    k2_group_1(sK1) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_4808,c_5971]) ).

cnf(c_5975,plain,
    ( ~ m1_group_2(X0,sK0)
    | ~ v1_group_1(X0)
    | k1_funct_1(sP3_iProver_def,X0) = u1_struct_0(X0) ),
    inference(light_normalisation,[status(thm)],[c_1415,c_4802]) ).

cnf(c_5982,plain,
    ( ~ v1_group_1(sK1)
    | k1_funct_1(sP3_iProver_def,sK1) = u1_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_4808,c_5975]) ).

cnf(c_5983,plain,
    ( ~ v1_group_1(sK1)
    | u1_struct_0(sK1) = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5982,c_4803]) ).

cnf(c_5984,plain,
    u1_struct_0(sK1) = sP4_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_5983,c_4807]) ).

cnf(c_6201,plain,
    ( ~ l1_group_1(sK1)
    | l1_group_1(g1_group_1(sP4_iProver_def,u1_group_1(sK1))) ),
    inference(superposition,[status(thm)],[c_5984,c_5963]) ).

cnf(c_6247,plain,
    l1_group_1(g1_group_1(sP4_iProver_def,u1_group_1(sK1))),
    inference(global_subsumption_just,[status(thm)],[c_6201,c_54,c_52,c_55,c_1956,c_6201]) ).

cnf(c_6314,plain,
    ( ~ l1_group_1(sK1)
    | m1_subset_1(k2_group_1(sK1),sP4_iProver_def)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_5984,c_71]) ).

cnf(c_6316,plain,
    ( ~ l1_group_1(sK1)
    | m1_subset_1(sP2_iProver_def,sP4_iProver_def)
    | v3_struct_0(sK1) ),
    inference(light_normalisation,[status(thm)],[c_6314,c_5974]) ).

cnf(c_6379,plain,
    m1_subset_1(sP2_iProver_def,sP4_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_6316,c_54,c_52,c_55,c_1942,c_1956,c_6316]) ).

cnf(c_6381,plain,
    ( r2_hidden(sP2_iProver_def,sP4_iProver_def)
    | v1_xboole_0(sP4_iProver_def) ),
    inference(superposition,[status(thm)],[c_6379,c_112]) ).

cnf(c_6382,plain,
    v1_xboole_0(sP4_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_6381,c_4809]) ).

cnf(c_6468,plain,
    ( ~ l1_group_1(sK1)
    | g1_group_1(u1_struct_0(sK1),u1_group_1(sK1)) = sK1 ),
    inference(superposition,[status(thm)],[c_4807,c_56]) ).

cnf(c_6473,plain,
    ( ~ l1_group_1(sK1)
    | g1_group_1(sP4_iProver_def,u1_group_1(sK1)) = sK1 ),
    inference(light_normalisation,[status(thm)],[c_6468,c_5984]) ).

cnf(c_6498,plain,
    g1_group_1(sP4_iProver_def,u1_group_1(sK1)) = sK1,
    inference(global_subsumption_just,[status(thm)],[c_6473,c_54,c_52,c_55,c_1956,c_6473]) ).

cnf(c_6500,plain,
    l1_group_1(sK1),
    inference(demodulation,[status(thm)],[c_6247,c_6498]) ).

cnf(c_6563,plain,
    ( ~ l1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v3_struct_0(sK1)
    | v3_struct_0(sK0) ),
    inference(superposition,[status(thm)],[c_4808,c_75]) ).

cnf(c_6566,plain,
    ~ v3_struct_0(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_6563,c_4804,c_4805,c_4806]) ).

cnf(c_6686,plain,
    ( ~ l1_group_1(sK1)
    | ~ v1_xboole_0(sP4_iProver_def)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_5984,c_1123]) ).

cnf(c_6687,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6686,c_6566,c_6382,c_6500]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n031.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May  3 00:20:46 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.36/1.14  % SZS status Started for theBenchmark.p
% 3.36/1.14  % SZS status Theorem for theBenchmark.p
% 3.36/1.14  
% 3.36/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.36/1.14  
% 3.36/1.14  ------  iProver source info
% 3.36/1.14  
% 3.36/1.14  git: date: 2024-05-02 19:28:25 +0000
% 3.36/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.36/1.14  git: non_committed_changes: false
% 3.36/1.14  
% 3.36/1.14  ------ Parsing...
% 3.36/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.36/1.14  
% 3.36/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e 
% 3.36/1.14  
% 3.36/1.14  ------ Preprocessing... gs_s  sp: 8 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.36/1.14  
% 3.36/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.36/1.14  ------ Proving...
% 3.36/1.14  ------ Problem Properties 
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  clauses                                 90
% 3.36/1.14  conjectures                             6
% 3.36/1.14  EPR                                     20
% 3.36/1.14  Horn                                    75
% 3.36/1.14  unary                                   31
% 3.36/1.14  binary                                  17
% 3.36/1.14  lits                                    210
% 3.36/1.14  lits eq                                 66
% 3.36/1.14  fd_pure                                 0
% 3.36/1.14  fd_pseudo                               0
% 3.36/1.14  fd_cond                                 3
% 3.36/1.14  fd_pseudo_cond                          5
% 3.36/1.14  AC symbols                              0
% 3.36/1.14  
% 3.36/1.14  ------ Schedule dynamic 5 is on 
% 3.36/1.14  
% 3.36/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  ------ 
% 3.36/1.14  Current options:
% 3.36/1.14  ------ 
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  ------ Proving...
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  % SZS status Theorem for theBenchmark.p
% 3.36/1.14  
% 3.36/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.36/1.14  
% 3.36/1.14  
%------------------------------------------------------------------------------