TSTP Solution File: SEU417+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SEU417+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 03:06:10 EDT 2024

% Result   : Theorem 72.47s 10.73s
% Output   : CNFRefutation 72.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
         => r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_relset_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
       => ! [X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
           => r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f6,axiom,
    ! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X0))
        & m1_subset_1(X1,k1_zfmisc_1(X0)) )
     => k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
        & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) )
     => m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_relset_2) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X0))
        & m1_subset_1(X1,k1_zfmisc_1(X0)) )
     => m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_subset_1) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
     => m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_setfam_1) ).

fof(f35,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
        & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) )
     => k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).

fof(f36,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X0))
        & m1_subset_1(X1,k1_zfmisc_1(X0)) )
     => k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).

fof(f41,axiom,
    ! [X0,X1,X2] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_xboole_1) ).

fof(f44,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
    <=> r1_tarski(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f46,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
         => ( r1_tarski(X1,X2)
           => r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_setfam_1) ).

fof(f51,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
             => ( k4_subset_1(k1_zfmisc_1(X0),X2,X3) = X1
               => k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_mssubfam) ).

fof(f57,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2)))
          & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
      & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(flattening,[],[f66]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f68]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f86]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
          | ~ r1_tarski(X1,X2)
          | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
          | ~ r1_tarski(X1,X2)
          | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(flattening,[],[f95]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3))
              | k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
              | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
          | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3))
              | k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
              | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
          | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(flattening,[],[f101]) ).

fof(f103,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ~ r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2)))
            & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
        & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) )
   => ( ? [X2] :
          ( ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,X2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,X2)))
          & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(sK0))) )
      & m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ( ? [X2] :
        ( ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,X2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,X2)))
        & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(sK0))) )
   => ( ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2)))
      & m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ( ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2)))
    & m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    & m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f57,f104,f103]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ( m1_subset_1(X0,k1_zfmisc_1(X1))
        | ~ r1_tarski(X0,X1) )
      & ( r1_tarski(X0,X1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f119,plain,
    m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(cnf_transformation,[],[f105]) ).

fof(f120,plain,
    m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(cnf_transformation,[],[f105]) ).

fof(f121,plain,
    ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f105]) ).

fof(f125,plain,
    ! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f161,plain,
    ! [X2,X0,X1] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
    inference(cnf_transformation,[],[f41]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
      | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
      | ~ r1_tarski(X1,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f172,plain,
    ! [X2,X3,X0,X1] :
      ( k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3))
      | k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
      | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f173,plain,
    ! [X2,X3,X0] :
      ( k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) = k8_setfam_1(X0,k4_subset_1(k1_zfmisc_1(X0),X2,X3))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(X0),X2,X3),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(equality_resolution,[],[f172]) ).

cnf(c_49,negated_conjecture,
    ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_50,negated_conjecture,
    m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_51,negated_conjecture,
    m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_55,plain,
    k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_58,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | k5_subset_1(X1,X0,X2) = k5_subset_1(X1,X2,X0) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_59,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | m1_subset_1(k1_relset_2(X1,X0,X2),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_60,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | m1_subset_1(k4_subset_1(X1,X0,X2),k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_62,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | m1_subset_1(k8_setfam_1(X1,X0),k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_85,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | k1_relset_2(X1,X0,X2) = k3_xboole_0(X0,X2) ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_86,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2) ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_91,plain,
    r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_94,plain,
    ( ~ r1_tarski(X0,X1)
    | m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_95,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_97,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ r1_tarski(X0,X2)
    | r1_tarski(k8_setfam_1(X1,X2),k8_setfam_1(X1,X0)) ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_102,plain,
    ( ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(X0),X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
    | k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)) = k8_setfam_1(X0,k4_subset_1(k1_zfmisc_1(X0),X1,X2)) ),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_137,plain,
    ( ~ r1_tarski(X0,X1)
    | m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_94]) ).

cnf(c_242,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | ~ r1_tarski(X2,X1)
    | k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2) ),
    inference(bin_hyper_res,[status(thm)],[c_58,c_137]) ).

cnf(c_243,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | ~ r1_tarski(X2,X1)
    | m1_subset_1(k4_subset_1(X1,X2,X0),k1_zfmisc_1(X1)) ),
    inference(bin_hyper_res,[status(thm)],[c_60,c_137]) ).

cnf(c_247,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | ~ r1_tarski(X2,X1)
    | k4_subset_1(X1,X2,X0) = k2_xboole_0(X2,X0) ),
    inference(bin_hyper_res,[status(thm)],[c_86,c_137]) ).

cnf(c_637,plain,
    ( ~ r1_tarski(X0,X1)
    | m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_94]) ).

cnf(c_729,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ r1_tarski(X2,X1)
    | k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2) ),
    inference(bin_hyper_res,[status(thm)],[c_242,c_637]) ).

cnf(c_730,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ r1_tarski(X2,X1)
    | m1_subset_1(k4_subset_1(X1,X2,X0),k1_zfmisc_1(X1)) ),
    inference(bin_hyper_res,[status(thm)],[c_243,c_637]) ).

cnf(c_734,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ r1_tarski(X2,X1)
    | k4_subset_1(X1,X2,X0) = k2_xboole_0(X2,X0) ),
    inference(bin_hyper_res,[status(thm)],[c_247,c_637]) ).

cnf(c_1087,plain,
    k1_zfmisc_1(sK0) = sP0_iProver_def,
    definition ).

cnf(c_1088,plain,
    k1_zfmisc_1(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_1089,plain,
    k8_setfam_1(sK0,sK1) = sP2_iProver_def,
    definition ).

cnf(c_1090,plain,
    k8_setfam_1(sK0,sK2) = sP3_iProver_def,
    definition ).

cnf(c_1091,plain,
    k5_subset_1(sK0,sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_1092,plain,
    k1_relset_2(sK0,sK1,sK2) = sP5_iProver_def,
    definition ).

cnf(c_1093,plain,
    k8_setfam_1(sK0,sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_1094,negated_conjecture,
    m1_subset_1(sK1,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_1087,c_1088]) ).

cnf(c_1095,negated_conjecture,
    m1_subset_1(sK2,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_1096,negated_conjecture,
    ~ r1_tarski(sP4_iProver_def,sP6_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_1092,c_1093,c_1090,c_1089,c_1091]) ).

cnf(c_1097,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_1099,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_1103,plain,
    ( X0 != X1
    | X2 != X3
    | ~ r1_tarski(X1,X3)
    | r1_tarski(X0,X2) ),
    theory(equality) ).

cnf(c_1928,plain,
    ( ~ r1_tarski(X0,sP0_iProver_def)
    | ~ r1_tarski(X1,sP0_iProver_def)
    | m1_subset_1(k4_subset_1(sP0_iProver_def,X0,X1),sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_1088,c_730]) ).

cnf(c_2136,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | r1_tarski(X0,sK0) ),
    inference(superposition,[status(thm)],[c_1087,c_95]) ).

cnf(c_2137,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | r1_tarski(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_1088,c_95]) ).

cnf(c_2224,plain,
    ( ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(sP2_iProver_def,k1_zfmisc_1(sK0)) ),
    inference(superposition,[status(thm)],[c_1089,c_62]) ).

cnf(c_2225,plain,
    ( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(sP3_iProver_def,k1_zfmisc_1(sK0)) ),
    inference(superposition,[status(thm)],[c_1090,c_62]) ).

cnf(c_2234,plain,
    ( ~ m1_subset_1(sK2,sP1_iProver_def)
    | m1_subset_1(sP3_iProver_def,sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_2225,c_1087,c_1088]) ).

cnf(c_2235,plain,
    m1_subset_1(sP3_iProver_def,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_2234,c_1095]) ).

cnf(c_2236,plain,
    ( ~ m1_subset_1(sK1,sP1_iProver_def)
    | m1_subset_1(sP2_iProver_def,sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_2224,c_1087,c_1088]) ).

cnf(c_2237,plain,
    m1_subset_1(sP2_iProver_def,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_2236,c_1094]) ).

cnf(c_2319,plain,
    ( ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | m1_subset_1(sP5_iProver_def,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(superposition,[status(thm)],[c_1092,c_59]) ).

cnf(c_2324,plain,
    ( ~ m1_subset_1(sK1,sP1_iProver_def)
    | ~ m1_subset_1(sK2,sP1_iProver_def)
    | m1_subset_1(sP5_iProver_def,sP1_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_2319,c_1087,c_1088]) ).

cnf(c_2325,plain,
    m1_subset_1(sP5_iProver_def,sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_2324,c_1095,c_1094]) ).

cnf(c_2487,plain,
    ( sP4_iProver_def != X0
    | sP6_iProver_def != X1
    | ~ r1_tarski(X0,X1)
    | r1_tarski(sP4_iProver_def,sP6_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1103]) ).

cnf(c_2578,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sP5_iProver_def,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ r1_tarski(sP5_iProver_def,X0)
    | r1_tarski(k8_setfam_1(sK0,X0),sP6_iProver_def) ),
    inference(superposition,[status(thm)],[c_1093,c_97]) ).

cnf(c_2579,plain,
    ( ~ r1_tarski(sP5_iProver_def,X0)
    | ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ m1_subset_1(sP5_iProver_def,sP1_iProver_def)
    | r1_tarski(k8_setfam_1(sK0,X0),sP6_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_2578,c_1087,c_1088]) ).

cnf(c_2580,plain,
    ( ~ r1_tarski(sP5_iProver_def,X0)
    | ~ m1_subset_1(X0,sP1_iProver_def)
    | r1_tarski(k8_setfam_1(sK0,X0),sP6_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2579,c_2325]) ).

cnf(c_2621,plain,
    sP4_iProver_def = sP4_iProver_def,
    inference(instantiation,[status(thm)],[c_1097]) ).

cnf(c_2623,plain,
    ( X0 != X1
    | sP4_iProver_def != X1
    | sP4_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_1099]) ).

cnf(c_2972,plain,
    r1_tarski(sP3_iProver_def,sK0),
    inference(superposition,[status(thm)],[c_2235,c_2136]) ).

cnf(c_2973,plain,
    r1_tarski(sP2_iProver_def,sK0),
    inference(superposition,[status(thm)],[c_2237,c_2136]) ).

cnf(c_2996,plain,
    r1_tarski(sK1,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1094,c_2137]) ).

cnf(c_2997,plain,
    r1_tarski(sK2,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1095,c_2137]) ).

cnf(c_5318,plain,
    ( X0 != sP4_iProver_def
    | sP4_iProver_def != sP4_iProver_def
    | sP4_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_2623]) ).

cnf(c_5542,plain,
    ( sP4_iProver_def != X0
    | sP6_iProver_def != sP6_iProver_def
    | ~ r1_tarski(X0,sP6_iProver_def)
    | r1_tarski(sP4_iProver_def,sP6_iProver_def) ),
    inference(instantiation,[status(thm)],[c_2487]) ).

cnf(c_5543,plain,
    sP6_iProver_def = sP6_iProver_def,
    inference(instantiation,[status(thm)],[c_1097]) ).

cnf(c_16970,plain,
    ( k5_subset_1(sK0,sP2_iProver_def,sP3_iProver_def) != sP4_iProver_def
    | sP4_iProver_def != sP4_iProver_def
    | sP4_iProver_def = k5_subset_1(sK0,sP2_iProver_def,sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_5318]) ).

cnf(c_30394,plain,
    ( ~ m1_subset_1(k4_subset_1(sP0_iProver_def,X0,X1),k1_zfmisc_1(sP0_iProver_def))
    | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | k5_subset_1(sK0,k8_setfam_1(sK0,X0),k8_setfam_1(sK0,X1)) = k8_setfam_1(sK0,k4_subset_1(k1_zfmisc_1(sK0),X0,X1)) ),
    inference(superposition,[status(thm)],[c_1087,c_102]) ).

cnf(c_30401,plain,
    ( ~ m1_subset_1(k4_subset_1(sP0_iProver_def,X0,X1),sP1_iProver_def)
    | ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ m1_subset_1(X1,sP1_iProver_def)
    | k5_subset_1(sK0,k8_setfam_1(sK0,X0),k8_setfam_1(sK0,X1)) = k8_setfam_1(sK0,k4_subset_1(sP0_iProver_def,X0,X1)) ),
    inference(light_normalisation,[status(thm)],[c_30394,c_1087,c_1088]) ).

cnf(c_30511,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | r1_tarski(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_1088,c_95]) ).

cnf(c_30678,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(sP0_iProver_def))
    | k1_relset_2(sK0,X0,X1) = k3_xboole_0(X0,X1) ),
    inference(superposition,[status(thm)],[c_1087,c_85]) ).

cnf(c_30687,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ m1_subset_1(X1,sP1_iProver_def)
    | k1_relset_2(sK0,X0,X1) = k3_xboole_0(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_30678,c_1087,c_1088]) ).

cnf(c_30758,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ m1_subset_1(sP5_iProver_def,k1_zfmisc_1(k1_zfmisc_1(sK0)))
    | ~ r1_tarski(sP5_iProver_def,X0)
    | r1_tarski(k8_setfam_1(sK0,X0),sP6_iProver_def) ),
    inference(superposition,[status(thm)],[c_1093,c_97]) ).

cnf(c_30759,plain,
    ( ~ r1_tarski(sP5_iProver_def,X0)
    | ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ m1_subset_1(sP5_iProver_def,sP1_iProver_def)
    | r1_tarski(k8_setfam_1(sK0,X0),sP6_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_30758,c_1087,c_1088]) ).

cnf(c_30995,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | k1_relset_2(sK0,sK1,X0) = k3_xboole_0(sK1,X0) ),
    inference(superposition,[status(thm)],[c_1094,c_30687]) ).

cnf(c_31063,plain,
    k1_relset_2(sK0,sK1,sK2) = k3_xboole_0(sK1,sK2),
    inference(superposition,[status(thm)],[c_1095,c_30995]) ).

cnf(c_31068,plain,
    k3_xboole_0(sK1,sK2) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_31063,c_1092]) ).

cnf(c_31142,plain,
    r1_tarski(sP5_iProver_def,k2_xboole_0(sK1,X0)),
    inference(superposition,[status(thm)],[c_31068,c_91]) ).

cnf(c_31710,plain,
    r1_tarski(sK1,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1094,c_30511]) ).

cnf(c_31711,plain,
    r1_tarski(sK2,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1095,c_30511]) ).

cnf(c_40352,plain,
    ( X0 != k5_subset_1(sK0,sP2_iProver_def,sP3_iProver_def)
    | sP4_iProver_def != k5_subset_1(sK0,sP2_iProver_def,sP3_iProver_def)
    | sP4_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_2623]) ).

cnf(c_55748,plain,
    ( k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def) != k5_subset_1(sK0,sP2_iProver_def,sP3_iProver_def)
    | sP4_iProver_def != k5_subset_1(sK0,sP2_iProver_def,sP3_iProver_def)
    | sP4_iProver_def = k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def) ),
    inference(instantiation,[status(thm)],[c_40352]) ).

cnf(c_55749,plain,
    ( ~ r1_tarski(sP2_iProver_def,sK0)
    | ~ r1_tarski(sP3_iProver_def,sK0)
    | k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def) = k5_subset_1(sK0,sP2_iProver_def,sP3_iProver_def) ),
    inference(instantiation,[status(thm)],[c_729]) ).

cnf(c_76001,plain,
    ( ~ r1_tarski(X0,sP0_iProver_def)
    | ~ r1_tarski(X1,sP0_iProver_def)
    | m1_subset_1(k4_subset_1(sP0_iProver_def,X0,X1),sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_1088,c_730]) ).

cnf(c_108327,plain,
    ( sP4_iProver_def != k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def)
    | sP6_iProver_def != sP6_iProver_def
    | ~ r1_tarski(k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def),sP6_iProver_def)
    | r1_tarski(sP4_iProver_def,sP6_iProver_def) ),
    inference(instantiation,[status(thm)],[c_5542]) ).

cnf(c_128055,plain,
    ( ~ r1_tarski(X0,sP0_iProver_def)
    | k4_subset_1(sP0_iProver_def,X0,sK1) = k2_xboole_0(X0,sK1) ),
    inference(superposition,[status(thm)],[c_31710,c_734]) ).

cnf(c_128605,plain,
    ( ~ r1_tarski(X0,sP0_iProver_def)
    | k4_subset_1(sP0_iProver_def,X0,sK1) = k2_xboole_0(X0,sK1) ),
    inference(superposition,[status(thm)],[c_2996,c_734]) ).

cnf(c_172401,plain,
    k4_subset_1(sP0_iProver_def,sK2,sK1) = k2_xboole_0(sK2,sK1),
    inference(superposition,[status(thm)],[c_2997,c_128605]) ).

cnf(c_172580,plain,
    k4_subset_1(sP0_iProver_def,sK2,sK1) = k2_xboole_0(sK1,sK2),
    inference(demodulation,[status(thm)],[c_172401,c_55]) ).

cnf(c_172586,plain,
    ( ~ r1_tarski(sK1,sP0_iProver_def)
    | ~ r1_tarski(sK2,sP0_iProver_def)
    | m1_subset_1(k2_xboole_0(sK1,sK2),sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_172580,c_1928]) ).

cnf(c_172589,plain,
    m1_subset_1(k2_xboole_0(sK1,sK2),sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_172586,c_2997,c_2996]) ).

cnf(c_173166,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ r1_tarski(sP5_iProver_def,X0)
    | r1_tarski(k8_setfam_1(sK0,X0),sP6_iProver_def) ),
    inference(global_subsumption_just,[status(thm)],[c_30759,c_2580]) ).

cnf(c_173167,plain,
    ( ~ r1_tarski(sP5_iProver_def,X0)
    | ~ m1_subset_1(X0,sP1_iProver_def)
    | r1_tarski(k8_setfam_1(sK0,X0),sP6_iProver_def) ),
    inference(renaming,[status(thm)],[c_173166]) ).

cnf(c_186023,plain,
    k4_subset_1(sP0_iProver_def,sK2,sK1) = k2_xboole_0(sK2,sK1),
    inference(superposition,[status(thm)],[c_31711,c_128055]) ).

cnf(c_189307,plain,
    k4_subset_1(sP0_iProver_def,sK2,sK1) = k2_xboole_0(sK1,sK2),
    inference(demodulation,[status(thm)],[c_186023,c_55]) ).

cnf(c_189317,plain,
    ( ~ r1_tarski(sK1,sP0_iProver_def)
    | ~ r1_tarski(sK2,sP0_iProver_def)
    | m1_subset_1(k2_xboole_0(sK1,sK2),sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_189307,c_76001]) ).

cnf(c_189318,plain,
    ( ~ m1_subset_1(k2_xboole_0(sK1,sK2),sP1_iProver_def)
    | ~ m1_subset_1(sK1,sP1_iProver_def)
    | ~ m1_subset_1(sK2,sP1_iProver_def)
    | k5_subset_1(sK0,k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,sK1)) = k8_setfam_1(sK0,k4_subset_1(sP0_iProver_def,sK2,sK1)) ),
    inference(superposition,[status(thm)],[c_189307,c_30401]) ).

cnf(c_189323,plain,
    m1_subset_1(k2_xboole_0(sK1,sK2),sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_189317,c_31711,c_31710]) ).

cnf(c_189343,plain,
    ( ~ m1_subset_1(sK1,sP1_iProver_def)
    | ~ m1_subset_1(sK2,sP1_iProver_def)
    | k5_subset_1(sK0,k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,sK1)) = k8_setfam_1(sK0,k4_subset_1(sP0_iProver_def,sK2,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_189318,c_189323]) ).

cnf(c_189344,plain,
    ( ~ m1_subset_1(sK1,sP1_iProver_def)
    | ~ m1_subset_1(sK2,sP1_iProver_def)
    | k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)) = k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_189343,c_1089,c_1090,c_189307]) ).

cnf(c_189345,plain,
    k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)) = k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_189344,c_1095,c_1094]) ).

cnf(c_189657,plain,
    ( ~ r1_tarski(sP5_iProver_def,k2_xboole_0(sK1,sK2))
    | ~ m1_subset_1(k2_xboole_0(sK1,sK2),sP1_iProver_def)
    | r1_tarski(k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def),sP6_iProver_def) ),
    inference(superposition,[status(thm)],[c_189345,c_173167]) ).

cnf(c_189733,plain,
    ( ~ m1_subset_1(k2_xboole_0(sK1,sK2),sP1_iProver_def)
    | r1_tarski(k5_subset_1(sK0,sP3_iProver_def,sP2_iProver_def),sP6_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_189657,c_31142]) ).

cnf(c_189868,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_189733,c_172589,c_108327,c_55749,c_55748,c_16970,c_5543,c_2972,c_2973,c_2621,c_1096,c_1091]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU417+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 18:04:52 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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
% 72.47/10.73  % SZS status Started for theBenchmark.p
% 72.47/10.73  % SZS status Theorem for theBenchmark.p
% 72.47/10.73  
% 72.47/10.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 72.47/10.73  
% 72.47/10.73  ------  iProver source info
% 72.47/10.73  
% 72.47/10.73  git: date: 2024-05-02 19:28:25 +0000
% 72.47/10.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 72.47/10.73  git: non_committed_changes: false
% 72.47/10.73  
% 72.47/10.73  ------ Parsing...
% 72.47/10.73  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 72.47/10.73  
% 72.47/10.73  ------ Preprocessing... sup_sim: 0  sf_s  rm: 9 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 72.47/10.73  
% 72.47/10.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 72.47/10.73  
% 72.47/10.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 72.47/10.73  ------ Proving...
% 72.47/10.73  ------ Problem Properties 
% 72.47/10.73  
% 72.47/10.73  
% 72.47/10.73  clauses                                 52
% 72.47/10.73  conjectures                             3
% 72.47/10.73  EPR                                     15
% 72.47/10.73  Horn                                    50
% 72.47/10.73  unary                                   25
% 72.47/10.73  binary                                  9
% 72.47/10.73  lits                                    99
% 72.47/10.73  lits eq                                 25
% 72.47/10.73  fd_pure                                 0
% 72.47/10.73  fd_pseudo                               0
% 72.47/10.73  fd_cond                                 1
% 72.47/10.73  fd_pseudo_cond                          1
% 72.47/10.73  AC symbols                              0
% 72.47/10.73  
% 72.47/10.73  ------ Schedule dynamic 5 is on 
% 72.47/10.73  
% 72.47/10.73  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 72.47/10.73  
% 72.47/10.73  
% 72.47/10.73  ------ 
% 72.47/10.73  Current options:
% 72.47/10.73  ------ 
% 72.47/10.73  
% 72.47/10.73  
% 72.47/10.73  
% 72.47/10.73  
% 72.47/10.73  ------ Proving...
% 72.47/10.73  
% 72.47/10.73  
% 72.47/10.73  % SZS status Theorem for theBenchmark.p
% 72.47/10.73  
% 72.47/10.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.47/10.73  
% 72.47/10.74  
%------------------------------------------------------------------------------