TSTP Solution File: TOP042+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : TOP042+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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  : 600s
% DateTime : Thu Jul 21 21:25:34 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   80 (  16 unt;   0 def)
%            Number of atoms       :  485 (  41 equ)
%            Maximal formula atoms :   63 (   6 avg)
%            Number of connectives :  702 ( 297   ~; 310   |;  60   &)
%                                         (   6 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   3 con; 0-4 aty)
%            Number of variables   :  148 (   8 sgn  80   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d2_tsp_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( l1_pre_topc(X2)
         => ( m2_tsp_1(X2,X1)
          <=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
              & ! [X3] :
                  ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
                 => ( v4_pre_topc(X3,X2)
                  <=> ? [X4] :
                        ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
                        & v4_pre_topc(X4,X1)
                        & X3 = k3_xboole_0(X4,u1_struct_0(X2)) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_tsp_1) ).

fof(dt_m2_tsp_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m2_tsp_1(X2,X1)
         => l1_pre_topc(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_tsp_1) ).

fof(t35_tsp_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_tsp_2(X2,X1)
            & m2_tsp_1(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
             => ( v4_pre_topc(X3,X1)
               => v4_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t35_tsp_2) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,k1_zfmisc_1(X2))
    <=> r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_subset) ).

fof(dt_k4_pre_topc,axiom,
    ! [X1,X2,X3,X4] :
      ( ( l1_struct_0(X1)
        & l1_struct_0(X2)
        & v1_funct_1(X3)
        & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
        & m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
     => m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_pre_topc) ).

fof(t1_tsep_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_pre_topc(X2,X1)
         => m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_tsep_1) ).

fof(redefinition_m2_tsp_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m2_tsp_1(X2,X1)
        <=> m1_pre_topc(X2,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_tsp_1) ).

fof(d12_tsp_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_tsp_2(X2,X1)
            & m2_tsp_1(X2,X1) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v5_pre_topc(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( X3 = k4_tsp_2(X1,X2)
              <=> ! [X4] :
                    ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
                   => ( X4 = u1_struct_0(X2)
                     => ! [X5] :
                          ( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
                         => k5_subset_1(u1_struct_0(X1),X4,k3_tex_4(X1,X5)) = k4_pre_topc(X1,X2,X3,X5) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d12_tsp_2) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).

fof(dt_k4_tsp_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1)
        & ~ v3_struct_0(X2)
        & v2_tsp_2(X2,X1)
        & m1_pre_topc(X2,X1) )
     => ( v1_funct_1(k4_tsp_2(X1,X2))
        & v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
        & v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
        & m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_tsp_2) ).

fof(t62_tex_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v4_pre_topc(X2,X1)
           => k3_tex_4(X1,X2) = X2 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t62_tex_4) ).

fof(redefinition_k5_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k5_subset_1) ).

fof(commutativity_k3_xboole_0,axiom,
    ! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k3_xboole_0) ).

fof(dt_l1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_pre_topc) ).

fof(c_0_14,plain,
    ! [X5,X6,X7,X9,X11] :
      ( ( r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
        | ~ m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( m1_subset_1(esk6_3(X5,X6,X7),k1_zfmisc_1(u1_struct_0(X5)))
        | ~ v4_pre_topc(X7,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | ~ m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( v4_pre_topc(esk6_3(X5,X6,X7),X5)
        | ~ v4_pre_topc(X7,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | ~ m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( X7 = k3_xboole_0(esk6_3(X5,X6,X7),u1_struct_0(X6))
        | ~ v4_pre_topc(X7,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | ~ m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X5)))
        | ~ v4_pre_topc(X9,X5)
        | X7 != k3_xboole_0(X9,u1_struct_0(X6))
        | v4_pre_topc(X7,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | ~ m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( m1_subset_1(esk7_2(X5,X6),k1_zfmisc_1(u1_struct_0(X6)))
        | ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
        | m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( ~ v4_pre_topc(esk7_2(X5,X6),X6)
        | ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(X5)))
        | ~ v4_pre_topc(X11,X5)
        | esk7_2(X5,X6) != k3_xboole_0(X11,u1_struct_0(X6))
        | ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
        | m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( m1_subset_1(esk8_2(X5,X6),k1_zfmisc_1(u1_struct_0(X5)))
        | v4_pre_topc(esk7_2(X5,X6),X6)
        | ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
        | m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( v4_pre_topc(esk8_2(X5,X6),X5)
        | v4_pre_topc(esk7_2(X5,X6),X6)
        | ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
        | m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) )
      & ( esk7_2(X5,X6) = k3_xboole_0(esk8_2(X5,X6),u1_struct_0(X6))
        | v4_pre_topc(esk7_2(X5,X6),X6)
        | ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
        | m2_tsp_1(X6,X5)
        | ~ l1_pre_topc(X6)
        | ~ l1_pre_topc(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tsp_1])])])])])])]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( ~ l1_pre_topc(X3)
      | ~ m2_tsp_1(X4,X3)
      | l1_pre_topc(X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])])])]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v2_tsp_2(X2,X1)
              & m2_tsp_1(X2,X1) )
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => ( v4_pre_topc(X3,X1)
                 => v4_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
    inference(assume_negation,[status(cth)],[t35_tsp_2]) ).

cnf(c_0_17,plain,
    ( v4_pre_topc(X3,X2)
    | ~ l1_pre_topc(X1)
    | ~ l1_pre_topc(X2)
    | ~ m2_tsp_1(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | X3 != k3_xboole_0(X4,u1_struct_0(X2))
    | ~ v4_pre_topc(X4,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( l1_pre_topc(X1)
    | ~ m2_tsp_1(X1,X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v2_tsp_2(esk2_0,esk1_0)
    & m2_tsp_1(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & v4_pre_topc(esk3_0,esk1_0)
    & ~ v4_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),esk2_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16])])])])])]) ).

cnf(c_0_20,plain,
    ( v4_pre_topc(X1,X2)
    | X1 != k3_xboole_0(X3,u1_struct_0(X2))
    | ~ v4_pre_topc(X3,X4)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m2_tsp_1(X2,X4)
    | ~ l1_pre_topc(X4) ),
    inference(csr,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    v4_pre_topc(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_24,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
        | r1_tarski(X3,X4) )
      & ( ~ r1_tarski(X3,X4)
        | m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).

cnf(c_0_25,negated_conjecture,
    ( v4_pre_topc(X1,X2)
    | X1 != k3_xboole_0(esk3_0,u1_struct_0(X2))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m2_tsp_1(X2,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_26,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_27,plain,
    ! [X5,X6,X7,X8] :
      ( ~ l1_struct_0(X5)
      | ~ l1_struct_0(X6)
      | ~ v1_funct_1(X7)
      | ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
      | ~ m1_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
      | m1_subset_1(k4_pre_topc(X5,X6,X7,X8),k1_zfmisc_1(u1_struct_0(X6))) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])])])]) ).

fof(c_0_28,plain,
    ! [X3,X4] :
      ( ~ l1_pre_topc(X3)
      | ~ m1_pre_topc(X4,X3)
      | m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(u1_struct_0(X3))) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_tsep_1])])])])]) ).

fof(c_0_29,plain,
    ! [X3,X4,X4] :
      ( ( ~ m2_tsp_1(X4,X3)
        | m1_pre_topc(X4,X3)
        | ~ l1_pre_topc(X3) )
      & ( ~ m1_pre_topc(X4,X3)
        | m2_tsp_1(X4,X3)
        | ~ l1_pre_topc(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])])])]) ).

cnf(c_0_30,negated_conjecture,
    ~ v4_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_31,negated_conjecture,
    ( v4_pre_topc(X1,X2)
    | X1 != k3_xboole_0(esk3_0,u1_struct_0(X2))
    | ~ r1_tarski(X1,u1_struct_0(X2))
    | ~ m2_tsp_1(X2,esk1_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    m2_tsp_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_33,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,plain,
    ( m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_struct_0(X2)
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_35,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( X8 != k4_tsp_2(X6,X7)
        | ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
        | X9 != u1_struct_0(X7)
        | ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X6)))
        | k5_subset_1(u1_struct_0(X6),X9,k3_tex_4(X6,X10)) = k4_pre_topc(X6,X7,X8,X10)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
        | ~ v5_pre_topc(X8,X6,X7)
        | ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
        | v3_struct_0(X7)
        | ~ v2_tsp_2(X7,X6)
        | ~ m2_tsp_1(X7,X6)
        | v3_struct_0(X6)
        | ~ v2_pre_topc(X6)
        | ~ l1_pre_topc(X6) )
      & ( m1_subset_1(esk4_3(X6,X7,X8),k1_zfmisc_1(u1_struct_0(X6)))
        | X8 = k4_tsp_2(X6,X7)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
        | ~ v5_pre_topc(X8,X6,X7)
        | ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
        | v3_struct_0(X7)
        | ~ v2_tsp_2(X7,X6)
        | ~ m2_tsp_1(X7,X6)
        | v3_struct_0(X6)
        | ~ v2_pre_topc(X6)
        | ~ l1_pre_topc(X6) )
      & ( esk4_3(X6,X7,X8) = u1_struct_0(X7)
        | X8 = k4_tsp_2(X6,X7)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
        | ~ v5_pre_topc(X8,X6,X7)
        | ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
        | v3_struct_0(X7)
        | ~ v2_tsp_2(X7,X6)
        | ~ m2_tsp_1(X7,X6)
        | v3_struct_0(X6)
        | ~ v2_pre_topc(X6)
        | ~ l1_pre_topc(X6) )
      & ( m1_subset_1(esk5_3(X6,X7,X8),k1_zfmisc_1(u1_struct_0(X6)))
        | X8 = k4_tsp_2(X6,X7)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
        | ~ v5_pre_topc(X8,X6,X7)
        | ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
        | v3_struct_0(X7)
        | ~ v2_tsp_2(X7,X6)
        | ~ m2_tsp_1(X7,X6)
        | v3_struct_0(X6)
        | ~ v2_pre_topc(X6)
        | ~ l1_pre_topc(X6) )
      & ( k5_subset_1(u1_struct_0(X6),esk4_3(X6,X7,X8),k3_tex_4(X6,esk5_3(X6,X7,X8))) != k4_pre_topc(X6,X7,X8,esk5_3(X6,X7,X8))
        | X8 = k4_tsp_2(X6,X7)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
        | ~ v5_pre_topc(X8,X6,X7)
        | ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
        | v3_struct_0(X7)
        | ~ v2_tsp_2(X7,X6)
        | ~ m2_tsp_1(X7,X6)
        | v3_struct_0(X6)
        | ~ v2_pre_topc(X6)
        | ~ l1_pre_topc(X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d12_tsp_2])])])])])])])]) ).

cnf(c_0_36,plain,
    ( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_pre_topc(X1,X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,plain,
    ( m1_pre_topc(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_38,negated_conjecture,
    ( k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
    | ~ r1_tarski(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),u1_struct_0(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_39,plain,
    ( r1_tarski(k4_pre_topc(X1,X2,X3,X4),u1_struct_0(X2))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_struct_0(X2)
    | ~ l1_struct_0(X1)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | k5_subset_1(u1_struct_0(X1),X4,k3_tex_4(X1,X5)) = k4_pre_topc(X1,X2,X3,X5)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
    | X4 != u1_struct_0(X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
    | X3 != k4_tsp_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,plain,
    ( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m2_tsp_1(X1,X2)
    | ~ l1_pre_topc(X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_42,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( ~ m2_relset_1(X6,X4,X5)
        | m1_relset_1(X6,X4,X5) )
      & ( ~ m1_relset_1(X6,X4,X5)
        | m2_relset_1(X6,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).

cnf(c_0_43,negated_conjecture,
    ( k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
    | ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    ( k4_pre_topc(X1,X2,X3,X4) = k5_subset_1(u1_struct_0(X1),u1_struct_0(X2),k3_tex_4(X1,X4))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | X3 != k4_tsp_2(X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_40]),c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    v2_tsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_46,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_47,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_48,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_49,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_50,plain,
    ! [X3,X4] :
      ( ( v1_funct_1(k4_tsp_2(X3,X4))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3)
        | v3_struct_0(X4)
        | ~ v2_tsp_2(X4,X3)
        | ~ m1_pre_topc(X4,X3) )
      & ( v1_funct_2(k4_tsp_2(X3,X4),u1_struct_0(X3),u1_struct_0(X4))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3)
        | v3_struct_0(X4)
        | ~ v2_tsp_2(X4,X3)
        | ~ m1_pre_topc(X4,X3) )
      & ( v5_pre_topc(k4_tsp_2(X3,X4),X3,X4)
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3)
        | v3_struct_0(X4)
        | ~ v2_tsp_2(X4,X3)
        | ~ m1_pre_topc(X4,X3) )
      & ( m2_relset_1(k4_tsp_2(X3,X4),u1_struct_0(X3),u1_struct_0(X4))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3)
        | v3_struct_0(X4)
        | ~ v2_tsp_2(X4,X3)
        | ~ m1_pre_topc(X4,X3) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_tsp_2])])])]) ).

cnf(c_0_51,negated_conjecture,
    ( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
    | ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ v5_pre_topc(k4_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_21]),c_0_32]),c_0_45]),c_0_23]),c_0_46])]),c_0_47]),c_0_48]),c_0_49]) ).

cnf(c_0_52,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    ( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
    | ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ v5_pre_topc(k4_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
    | ~ m1_pre_topc(esk2_0,esk1_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_45]),c_0_23]),c_0_46])]),c_0_47]),c_0_48]) ).

cnf(c_0_54,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_pre_topc(k4_tsp_2(X2,X1),X2,X1)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_55,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v2_pre_topc(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | ~ v4_pre_topc(X4,X3)
      | k3_tex_4(X3,X4) = X4 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t62_tex_4])])])])])]) ).

cnf(c_0_56,negated_conjecture,
    ( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
    | ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
    | ~ m1_pre_topc(esk2_0,esk1_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_45]),c_0_23]),c_0_46])]),c_0_47]),c_0_48]) ).

cnf(c_0_57,plain,
    ( k3_tex_4(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ v4_pre_topc(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

fof(c_0_58,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
      | ~ m1_subset_1(X6,k1_zfmisc_1(X4))
      | k5_subset_1(X4,X5,X6) = k3_xboole_0(X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).

fof(c_0_59,plain,
    ! [X3,X4] : k3_xboole_0(X3,X4) = k3_xboole_0(X4,X3),
    inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).

cnf(c_0_60,negated_conjecture,
    ( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
    | ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
    | ~ m1_pre_topc(esk2_0,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_22]),c_0_21]),c_0_23]),c_0_46])]),c_0_48]) ).

cnf(c_0_61,plain,
    ( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_62,plain,
    k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
    | ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_21])]) ).

cnf(c_0_64,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
    | ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_66,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
    | ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_45]),c_0_23]),c_0_46])]),c_0_47]),c_0_48]) ).

cnf(c_0_68,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(k4_tsp_2(X2,X1))
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_69,plain,
    ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_pre_topc(X1)
    | ~ l1_pre_topc(X2)
    | ~ m2_tsp_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_45]),c_0_23]),c_0_46])]),c_0_47]),c_0_48]) ).

cnf(c_0_71,plain,
    ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_tsp_1(X1,X2)
    | ~ l1_pre_topc(X2) ),
    inference(csr,[status(thm)],[c_0_69,c_0_18]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0)
    | ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_37]),c_0_32]),c_0_23])]) ).

cnf(c_0_73,negated_conjecture,
    r1_tarski(u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_32]),c_0_23])]) ).

fof(c_0_74,plain,
    ! [X2] :
      ( ~ l1_pre_topc(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_26]),c_0_73])]) ).

cnf(c_0_76,plain,
    ( l1_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_77,negated_conjecture,
    l1_pre_topc(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_32]),c_0_23])]) ).

cnf(c_0_78,negated_conjecture,
    ~ l1_struct_0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).

cnf(c_0_79,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_76]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : TOP042+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.13/0.32  % Computer : n023.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Sun May 29 09:19:42 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.40  # Preprocessing time       : 0.027 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 80
% 0.22/1.40  # Proof object clause steps            : 51
% 0.22/1.40  # Proof object formula steps           : 29
% 0.22/1.40  # Proof object conjectures             : 30
% 0.22/1.40  # Proof object clause conjectures      : 27
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 28
% 0.22/1.40  # Proof object initial formulas used   : 14
% 0.22/1.40  # Proof object generating inferences   : 21
% 0.22/1.40  # Proof object simplifying inferences  : 63
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 122
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.40  # Initial clauses                      : 297
% 0.22/1.40  # Removed in clause preprocessing      : 43
% 0.22/1.40  # Initial clauses in saturation        : 254
% 0.22/1.40  # Processed clauses                    : 5433
% 0.22/1.40  # ...of these trivial                  : 7
% 0.22/1.40  # ...subsumed                          : 3002
% 0.22/1.40  # ...remaining for further processing  : 2424
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 99
% 0.22/1.40  # Backward-rewritten                   : 20
% 0.22/1.40  # Generated clauses                    : 12295
% 0.22/1.40  # ...of the previous two non-trivial   : 11529
% 0.22/1.40  # Contextual simplify-reflections      : 1777
% 0.22/1.40  # Paramodulations                      : 12128
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 24
% 0.22/1.40  # Current number of processed clauses  : 2203
% 0.22/1.40  #    Positive orientable unit clauses  : 67
% 0.22/1.40  #    Positive unorientable unit clauses: 1
% 0.22/1.40  #    Negative unit clauses             : 21
% 0.22/1.40  #    Non-unit-clauses                  : 2114
% 0.22/1.40  # Current number of unprocessed clauses: 6148
% 0.22/1.40  # ...number of literals in the above   : 36208
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 119
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 1894219
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 440569
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 4687
% 0.22/1.40  # Unit Clause-clause subsumption calls : 18429
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 22
% 0.22/1.40  # BW rewrite match successes           : 16
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 247365
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.760 s
% 0.22/1.40  # System time              : 0.009 s
% 0.22/1.40  # Total time               : 0.769 s
% 0.22/1.40  # Maximum resident set size: 14056 pages
% 0.22/23.39  eprover: CPU time limit exceeded, terminating
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------