TSTP Solution File: TOP028+2 by E---3.1

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%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : TOP028+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:51:12 EDT 2023

% Result   : Theorem 8.71s 2.16s
% Output   : CNFRefutation 8.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (   8 unt;   0 def)
%            Number of atoms       :  318 (  24 equ)
%            Maximal formula atoms :  194 (  11 avg)
%            Number of connectives :  493 ( 203   ~; 208   |;  58   &)
%                                         (   4 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-4 aty)
%            Number of variables   :   54 (   3 sgn;  38   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t10_tsp_2,conjecture,
    ! [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)))
          & v1_tsp_2(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o1SXAN6Rp6/E---3.1_15350.p',t10_tsp_2) ).

fof(t9_tsp_2,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)))
         => ~ ( v1_tsp_1(X2,X1)
              & ! [X3] :
                  ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
                 => ~ ( r1_tarski(X2,X3)
                      & v1_tsp_2(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o1SXAN6Rp6/E---3.1_15350.p',t9_tsp_2) ).

fof(d1_xboole_0,axiom,
    ! [X1] :
      ( X1 = k1_xboole_0
    <=> ! [X2] : ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.o1SXAN6Rp6/E---3.1_15350.p',d1_xboole_0) ).

fof(d8_tsp_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_1(X2,X1)
          <=> ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X1))
                   => ~ ( r2_hidden(X3,X2)
                        & r2_hidden(X4,X2)
                        & X3 != X4
                        & ! [X5] :
                            ( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
                           => ~ ( v3_pre_topc(X5,X1)
                                & r2_hidden(X3,X5)
                                & ~ r2_hidden(X4,X5) ) )
                        & ! [X5] :
                            ( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
                           => ~ ( v3_pre_topc(X5,X1)
                                & ~ r2_hidden(X3,X5)
                                & r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o1SXAN6Rp6/E---3.1_15350.p',d8_tsp_1) ).

fof(t4_subset_1,axiom,
    ! [X1] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox/tmp/tmp.o1SXAN6Rp6/E---3.1_15350.p',t4_subset_1) ).

fof(c_0_5,negated_conjecture,
    ~ ! [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)))
            & v1_tsp_2(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t10_tsp_2])]) ).

fof(c_0_6,plain,
    ! [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)))
         => ~ ( v1_tsp_1(X2,X1)
              & ! [X3] :
                  ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
                 => ~ ( r1_tarski(X2,X3)
                      & v1_tsp_2(X3,X1) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t9_tsp_2]) ).

fof(c_0_7,plain,
    ! [X1] :
      ( X1 = k1_xboole_0
    <=> ! [X2] : ~ r2_hidden(X2,X1) ),
    inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).

fof(c_0_8,negated_conjecture,
    ! [X11] :
      ( ~ v3_struct_0(esk1_0)
      & v2_pre_topc(esk1_0)
      & l1_pre_topc(esk1_0)
      & ( ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(esk1_0)))
        | ~ v1_tsp_2(X11,esk1_0) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

fof(c_0_9,plain,
    ! [X46,X47] :
      ( ( m1_subset_1(esk5_2(X46,X47),k1_zfmisc_1(u1_struct_0(X46)))
        | ~ v1_tsp_1(X47,X46)
        | ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
        | v3_struct_0(X46)
        | ~ v2_pre_topc(X46)
        | ~ l1_pre_topc(X46) )
      & ( r1_tarski(X47,esk5_2(X46,X47))
        | ~ v1_tsp_1(X47,X46)
        | ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
        | v3_struct_0(X46)
        | ~ v2_pre_topc(X46)
        | ~ l1_pre_topc(X46) )
      & ( v1_tsp_2(esk5_2(X46,X47),X46)
        | ~ v1_tsp_1(X47,X46)
        | ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
        | v3_struct_0(X46)
        | ~ v2_pre_topc(X46)
        | ~ l1_pre_topc(X46) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).

fof(c_0_10,plain,
    ! [X1688,X1689,X1690] :
      ( ( X1688 != k1_xboole_0
        | ~ r2_hidden(X1689,X1688) )
      & ( r2_hidden(esk227_1(X1690),X1690)
        | X1690 = k1_xboole_0 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).

fof(c_0_11,plain,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_1(X2,X1)
          <=> ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X1))
                   => ~ ( r2_hidden(X3,X2)
                        & r2_hidden(X4,X2)
                        & X3 != X4
                        & ! [X5] :
                            ( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
                           => ~ ( v3_pre_topc(X5,X1)
                                & r2_hidden(X3,X5)
                                & ~ r2_hidden(X4,X5) ) )
                        & ! [X5] :
                            ( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
                           => ~ ( v3_pre_topc(X5,X1)
                                & ~ r2_hidden(X3,X5)
                                & r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d8_tsp_1]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ v1_tsp_2(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( v1_tsp_2(esk5_2(X1,X2),X1)
    | v3_struct_0(X1)
    | ~ v1_tsp_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,plain,
    ( X1 != k1_xboole_0
    | ~ r2_hidden(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_18,plain,
    ! [X126,X127,X128,X129,X134,X135] :
      ( ( m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
        | m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( v3_pre_topc(esk13_4(X126,X127,X128,X129),X126)
        | m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129))
        | m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( r2_hidden(X129,esk13_4(X126,X127,X128,X129))
        | m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
        | v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( v3_pre_topc(esk13_4(X126,X127,X128,X129),X126)
        | v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129))
        | v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( r2_hidden(X129,esk13_4(X126,X127,X128,X129))
        | v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
        | r2_hidden(X128,esk12_4(X126,X127,X128,X129))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( v3_pre_topc(esk13_4(X126,X127,X128,X129),X126)
        | r2_hidden(X128,esk12_4(X126,X127,X128,X129))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129))
        | r2_hidden(X128,esk12_4(X126,X127,X128,X129))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( r2_hidden(X129,esk13_4(X126,X127,X128,X129))
        | r2_hidden(X128,esk12_4(X126,X127,X128,X129))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
        | ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( v3_pre_topc(esk13_4(X126,X127,X128,X129),X126)
        | ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129))
        | ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( r2_hidden(X129,esk13_4(X126,X127,X128,X129))
        | ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
        | ~ r2_hidden(X128,X127)
        | ~ r2_hidden(X129,X127)
        | X128 = X129
        | ~ m1_subset_1(X129,u1_struct_0(X126))
        | ~ m1_subset_1(X128,u1_struct_0(X126))
        | ~ v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( m1_subset_1(esk14_2(X126,X127),u1_struct_0(X126))
        | v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( m1_subset_1(esk15_2(X126,X127),u1_struct_0(X126))
        | v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( r2_hidden(esk14_2(X126,X127),X127)
        | v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( r2_hidden(esk15_2(X126,X127),X127)
        | v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( esk14_2(X126,X127) != esk15_2(X126,X127)
        | v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ v3_pre_topc(X134,X126)
        | ~ r2_hidden(esk14_2(X126,X127),X134)
        | r2_hidden(esk15_2(X126,X127),X134)
        | v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) )
      & ( ~ m1_subset_1(X135,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ v3_pre_topc(X135,X126)
        | r2_hidden(esk14_2(X126,X127),X135)
        | ~ r2_hidden(esk15_2(X126,X127),X135)
        | v1_tsp_1(X127,X126)
        | ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
        | ~ l1_pre_topc(X126) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).

fof(c_0_19,plain,
    ! [X1712] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1712)),
    inference(variable_rename,[status(thm)],[t4_subset_1]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ v1_tsp_1(X1,esk1_0)
    | ~ m1_subset_1(esk5_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).

cnf(c_0_21,plain,
    ( m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ v1_tsp_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_22,plain,
    ~ r2_hidden(X1,k1_xboole_0),
    inference(er,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    ( r2_hidden(esk14_2(X1,X2),X2)
    | v1_tsp_1(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ v1_tsp_1(X1,esk1_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]),c_0_15])]),c_0_16]) ).

cnf(c_0_26,plain,
    ( v1_tsp_1(k1_xboole_0,X1)
    | ~ l1_pre_topc(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_24]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.27  % Problem    : TOP028+2 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.28  % Command    : run_E %s %d THM
% 0.27/0.48  % Computer : n032.cluster.edu
% 0.27/0.48  % Model    : x86_64 x86_64
% 0.27/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.48  % Memory   : 8042.1875MB
% 0.27/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.27/0.48  % CPULimit   : 2400
% 0.27/0.48  % WCLimit    : 300
% 0.27/0.48  % DateTime   : Mon Oct  2 19:15:50 EDT 2023
% 0.27/0.48  % CPUTime    : 
% 0.68/0.89  Running first-order theorem proving
% 0.68/0.89  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.o1SXAN6Rp6/E---3.1_15350.p
% 8.71/2.16  # Version: 3.1pre001
% 8.71/2.16  # Preprocessing class: FMLMSMSLSSSNFFN.
% 8.71/2.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.71/2.16  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 8.71/2.16  # Starting new_bool_3 with 600s (2) cores
% 8.71/2.16  # Starting new_bool_1 with 600s (2) cores
% 8.71/2.16  # Starting sh5l with 300s (1) cores
% 8.71/2.16  # new_bool_1 with pid 15440 completed with status 0
% 8.71/2.16  # Result found by new_bool_1
% 8.71/2.16  # Preprocessing class: FMLMSMSLSSSNFFN.
% 8.71/2.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.71/2.16  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 8.71/2.16  # Starting new_bool_3 with 600s (2) cores
% 8.71/2.16  # Starting new_bool_1 with 600s (2) cores
% 8.71/2.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.71/2.16  # Search class: FGHSM-SMLM31-MFFFFFNN
% 8.71/2.16  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 8.71/2.16  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 361s (1) cores
% 8.71/2.16  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 61s (1) cores
% 8.71/2.16  # C07_19_nc_SAT001_MinMin_p005000_rr with pid 15442 completed with status 0
% 8.71/2.16  # Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 8.71/2.16  # Preprocessing class: FMLMSMSLSSSNFFN.
% 8.71/2.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.71/2.16  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 8.71/2.16  # Starting new_bool_3 with 600s (2) cores
% 8.71/2.16  # Starting new_bool_1 with 600s (2) cores
% 8.71/2.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.71/2.16  # Search class: FGHSM-SMLM31-MFFFFFNN
% 8.71/2.16  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 8.71/2.16  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 361s (1) cores
% 8.71/2.16  # Preprocessing time       : 0.039 s
% 8.71/2.16  # Presaturation interreduction done
% 8.71/2.16  
% 8.71/2.16  # Proof found!
% 8.71/2.16  # SZS status Theorem
% 8.71/2.16  # SZS output start CNFRefutation
% See solution above
% 8.71/2.16  # Parsed axioms                        : 3592
% 8.71/2.16  # Removed by relevancy pruning/SinE    : 2688
% 8.71/2.16  # Initial clauses                      : 2299
% 8.71/2.16  # Removed in clause preprocessing      : 90
% 8.71/2.16  # Initial clauses in saturation        : 2209
% 8.71/2.16  # Processed clauses                    : 11848
% 8.71/2.16  # ...of these trivial                  : 56
% 8.71/2.16  # ...subsumed                          : 7328
% 8.71/2.16  # ...remaining for further processing  : 4464
% 8.71/2.16  # Other redundant clauses eliminated   : 266
% 8.71/2.16  # Clauses deleted for lack of memory   : 0
% 8.71/2.16  # Backward-subsumed                    : 28
% 8.71/2.16  # Backward-rewritten                   : 58
% 8.71/2.16  # Generated clauses                    : 26227
% 8.71/2.16  # ...of the previous two non-redundant : 22845
% 8.71/2.16  # ...aggressively subsumed             : 0
% 8.71/2.16  # Contextual simplify-reflections      : 356
% 8.71/2.16  # Paramodulations                      : 25956
% 8.71/2.16  # Factorizations                       : 1
% 8.71/2.16  # NegExts                              : 0
% 8.71/2.16  # Equation resolutions                 : 275
% 8.71/2.16  # Total rewrite steps                  : 5245
% 8.71/2.16  # Propositional unsat checks           : 0
% 8.71/2.16  #    Propositional check models        : 0
% 8.71/2.16  #    Propositional check unsatisfiable : 0
% 8.71/2.16  #    Propositional clauses             : 0
% 8.71/2.16  #    Propositional clauses after purity: 0
% 8.71/2.16  #    Propositional unsat core size     : 0
% 8.71/2.16  #    Propositional preprocessing time  : 0.000
% 8.71/2.16  #    Propositional encoding time       : 0.000
% 8.71/2.16  #    Propositional solver time         : 0.000
% 8.71/2.16  #    Success case prop preproc time    : 0.000
% 8.71/2.16  #    Success case prop encoding time   : 0.000
% 8.71/2.16  #    Success case prop solver time     : 0.000
% 8.71/2.16  # Current number of processed clauses  : 2245
% 8.71/2.16  #    Positive orientable unit clauses  : 193
% 8.71/2.16  #    Positive unorientable unit clauses: 1
% 8.71/2.16  #    Negative unit clauses             : 391
% 8.71/2.16  #    Non-unit-clauses                  : 1660
% 8.71/2.16  # Current number of unprocessed clauses: 15125
% 8.71/2.16  # ...number of literals in the above   : 50621
% 8.71/2.16  # Current number of archived formulas  : 0
% 8.71/2.16  # Current number of archived clauses   : 2078
% 8.71/2.16  # Clause-clause subsumption calls (NU) : 3106993
% 8.71/2.16  # Rec. Clause-clause subsumption calls : 321778
% 8.71/2.16  # Non-unit clause-clause subsumptions  : 3153
% 8.71/2.16  # Unit Clause-clause subsumption calls : 15638
% 8.71/2.16  # Rewrite failures with RHS unbound    : 0
% 8.71/2.16  # BW rewrite match attempts            : 206
% 8.71/2.16  # BW rewrite match successes           : 90
% 8.71/2.16  # Condensation attempts                : 0
% 8.71/2.16  # Condensation successes               : 0
% 8.71/2.16  # Termbank termtop insertions          : 527075
% 8.71/2.16  
% 8.71/2.16  # -------------------------------------------------
% 8.71/2.16  # User time                : 1.131 s
% 8.71/2.16  # System time              : 0.046 s
% 8.71/2.16  # Total time               : 1.176 s
% 8.71/2.16  # Maximum resident set size: 12316 pages
% 8.71/2.16  
% 8.71/2.16  # -------------------------------------------------
% 8.71/2.16  # User time                : 2.250 s
% 8.71/2.16  # System time              : 0.078 s
% 8.71/2.16  # Total time               : 2.328 s
% 8.71/2.16  # Maximum resident set size: 6148 pages
% 8.71/2.16  % E---3.1 exiting
% 8.71/2.16  % E---3.1 exiting
%------------------------------------------------------------------------------