TSTP Solution File: TOP028+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : TOP028+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 21:24:32 EDT 2022

% Result   : Theorem 31.28s 8.03s
% Output   : CNFRefutation 31.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   47 (  16 unt;   0 def)
%            Number of atoms       :  356 (  29 equ)
%            Maximal formula atoms :  194 (   7 avg)
%            Number of connectives :  531 ( 222   ~; 234   |;  57   &)
%                                         (   5 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-4 aty)
%            Number of variables   :   80 (   6 sgn  45   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t8_boole,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t8_boole) ).

fof(rc1_xboole_0,axiom,
    ? [X1] : v1_xboole_0(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).

fof(rc2_subset_1,axiom,
    ! [X1] :
    ? [X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
      & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_1) ).

fof(d1_zfmisc_1,axiom,
    ! [X1,X2] :
      ( X2 = k1_zfmisc_1(X1)
    <=> ! [X3] :
          ( r2_hidden(X3,X2)
        <=> r1_tarski(X3,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',d1_zfmisc_1) ).

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/benchmark/theBenchmark.p',t10_tsp_2) ).

fof(t7_ordinal1,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & r1_tarski(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t7_ordinal1) ).

fof(d2_subset_1,axiom,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
       => ( m1_subset_1(X2,X1)
        <=> r2_hidden(X2,X1) ) )
      & ( v1_xboole_0(X1)
       => ( m1_subset_1(X2,X1)
        <=> v1_xboole_0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).

fof(fc1_subset_1,axiom,
    ! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',fc1_subset_1) ).

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/benchmark/theBenchmark.p',t9_tsp_2) ).

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/benchmark/Axioms/SET007/SET007+406.ax',d8_tsp_1) ).

fof(c_0_10,plain,
    ! [X737,X738] :
      ( ~ v1_xboole_0(X737)
      | X737 = X738
      | ~ v1_xboole_0(X738) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).

fof(c_0_11,plain,
    v1_xboole_0(esk87_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    v1_xboole_0(esk87_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ! [X90] :
      ( m1_subset_1(esk6_1(X90),k1_zfmisc_1(X90))
      & v1_xboole_0(esk6_1(X90)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).

fof(c_0_15,plain,
    ! [X134,X135,X136,X137,X138,X139] :
      ( ( ~ r2_hidden(X136,X135)
        | r1_tarski(X136,X134)
        | X135 != k1_zfmisc_1(X134) )
      & ( ~ r1_tarski(X137,X134)
        | r2_hidden(X137,X135)
        | X135 != k1_zfmisc_1(X134) )
      & ( ~ r2_hidden(esk14_2(X138,X139),X139)
        | ~ r1_tarski(esk14_2(X138,X139),X138)
        | X139 = k1_zfmisc_1(X138) )
      & ( r2_hidden(esk14_2(X138,X139),X139)
        | r1_tarski(esk14_2(X138,X139),X138)
        | X139 = k1_zfmisc_1(X138) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_zfmisc_1])])])])])]) ).

cnf(c_0_16,plain,
    ( X1 = esk87_0
    | ~ v1_xboole_0(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    v1_xboole_0(esk6_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,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(assume_negation,[status(cth)],[t10_tsp_2]) ).

fof(c_0_19,plain,
    ! [X157,X158] :
      ( ~ r2_hidden(X157,X158)
      | ~ r1_tarski(X158,X157) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_ordinal1])]) ).

cnf(c_0_20,plain,
    ( r1_tarski(X1,X3)
    | ~ r2_hidden(X1,X2)
    | X2 != k1_zfmisc_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,plain,
    ! [X739,X740] :
      ( ( ~ m1_subset_1(X740,X739)
        | r2_hidden(X740,X739)
        | v1_xboole_0(X739) )
      & ( ~ r2_hidden(X740,X739)
        | m1_subset_1(X740,X739)
        | v1_xboole_0(X739) )
      & ( ~ m1_subset_1(X740,X739)
        | v1_xboole_0(X740)
        | ~ v1_xboole_0(X739) )
      & ( ~ v1_xboole_0(X740)
        | m1_subset_1(X740,X739)
        | ~ v1_xboole_0(X739) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_subset_1])])])]) ).

cnf(c_0_22,plain,
    m1_subset_1(esk6_1(X1),k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,plain,
    esk6_1(X1) = esk87_0,
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_24,plain,
    ! [X87] : ~ v1_xboole_0(k1_zfmisc_1(X87)),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_subset_1])]) ).

fof(c_0_25,negated_conjecture,
    ! [X53] :
      ( ~ v3_struct_0(esk1_0)
      & v2_pre_topc(esk1_0)
      & l1_pre_topc(esk1_0)
      & ( ~ m1_subset_1(X53,k1_zfmisc_1(u1_struct_0(esk1_0)))
        | ~ v1_tsp_2(X53,esk1_0) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])])])])]) ).

fof(c_0_26,plain,
    ! [X82,X83] :
      ( ( m1_subset_1(esk3_2(X82,X83),k1_zfmisc_1(u1_struct_0(X82)))
        | ~ v1_tsp_1(X83,X82)
        | ~ m1_subset_1(X83,k1_zfmisc_1(u1_struct_0(X82)))
        | v3_struct_0(X82)
        | ~ v2_pre_topc(X82)
        | ~ l1_pre_topc(X82) )
      & ( r1_tarski(X83,esk3_2(X82,X83))
        | ~ v1_tsp_1(X83,X82)
        | ~ m1_subset_1(X83,k1_zfmisc_1(u1_struct_0(X82)))
        | v3_struct_0(X82)
        | ~ v2_pre_topc(X82)
        | ~ l1_pre_topc(X82) )
      & ( v1_tsp_2(esk3_2(X82,X83),X82)
        | ~ v1_tsp_1(X83,X82)
        | ~ m1_subset_1(X83,k1_zfmisc_1(u1_struct_0(X82)))
        | v3_struct_0(X82)
        | ~ v2_pre_topc(X82)
        | ~ l1_pre_topc(X82) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t9_tsp_2])])])])])]) ).

cnf(c_0_27,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ r1_tarski(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(X1,k1_zfmisc_1(X2)) ),
    inference(er,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    m1_subset_1(esk87_0,k1_zfmisc_1(X1)),
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,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_25]) ).

cnf(c_0_33,plain,
    ( v1_tsp_2(esk3_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_26]) ).

cnf(c_0_34,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_35,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,plain,
    ( ~ r2_hidden(X1,k1_zfmisc_1(X2))
    | ~ r2_hidden(X2,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_38,plain,
    r2_hidden(esk87_0,k1_zfmisc_1(X1)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

fof(c_0_39,plain,
    ! [X193,X194,X195,X196,X201,X202] :
      ( ( m1_subset_1(esk18_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
        | m1_subset_1(esk17_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( v3_pre_topc(esk18_4(X193,X194,X195,X196),X193)
        | m1_subset_1(esk17_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( ~ r2_hidden(X195,esk18_4(X193,X194,X195,X196))
        | m1_subset_1(esk17_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( r2_hidden(X196,esk18_4(X193,X194,X195,X196))
        | m1_subset_1(esk17_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( m1_subset_1(esk18_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
        | v3_pre_topc(esk17_4(X193,X194,X195,X196),X193)
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( v3_pre_topc(esk18_4(X193,X194,X195,X196),X193)
        | v3_pre_topc(esk17_4(X193,X194,X195,X196),X193)
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( ~ r2_hidden(X195,esk18_4(X193,X194,X195,X196))
        | v3_pre_topc(esk17_4(X193,X194,X195,X196),X193)
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( r2_hidden(X196,esk18_4(X193,X194,X195,X196))
        | v3_pre_topc(esk17_4(X193,X194,X195,X196),X193)
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( m1_subset_1(esk18_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
        | r2_hidden(X195,esk17_4(X193,X194,X195,X196))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( v3_pre_topc(esk18_4(X193,X194,X195,X196),X193)
        | r2_hidden(X195,esk17_4(X193,X194,X195,X196))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( ~ r2_hidden(X195,esk18_4(X193,X194,X195,X196))
        | r2_hidden(X195,esk17_4(X193,X194,X195,X196))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( r2_hidden(X196,esk18_4(X193,X194,X195,X196))
        | r2_hidden(X195,esk17_4(X193,X194,X195,X196))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( m1_subset_1(esk18_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
        | ~ r2_hidden(X196,esk17_4(X193,X194,X195,X196))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( v3_pre_topc(esk18_4(X193,X194,X195,X196),X193)
        | ~ r2_hidden(X196,esk17_4(X193,X194,X195,X196))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( ~ r2_hidden(X195,esk18_4(X193,X194,X195,X196))
        | ~ r2_hidden(X196,esk17_4(X193,X194,X195,X196))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( r2_hidden(X196,esk18_4(X193,X194,X195,X196))
        | ~ r2_hidden(X196,esk17_4(X193,X194,X195,X196))
        | ~ r2_hidden(X195,X194)
        | ~ r2_hidden(X196,X194)
        | X195 = X196
        | ~ m1_subset_1(X196,u1_struct_0(X193))
        | ~ m1_subset_1(X195,u1_struct_0(X193))
        | ~ v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( m1_subset_1(esk19_2(X193,X194),u1_struct_0(X193))
        | v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( m1_subset_1(esk20_2(X193,X194),u1_struct_0(X193))
        | v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( r2_hidden(esk19_2(X193,X194),X194)
        | v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( r2_hidden(esk20_2(X193,X194),X194)
        | v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( esk19_2(X193,X194) != esk20_2(X193,X194)
        | v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( ~ m1_subset_1(X201,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ v3_pre_topc(X201,X193)
        | ~ r2_hidden(esk19_2(X193,X194),X201)
        | r2_hidden(esk20_2(X193,X194),X201)
        | v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) )
      & ( ~ m1_subset_1(X202,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ v3_pre_topc(X202,X193)
        | r2_hidden(esk19_2(X193,X194),X202)
        | ~ r2_hidden(esk20_2(X193,X194),X202)
        | v1_tsp_1(X194,X193)
        | ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
        | ~ l1_pre_topc(X193) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d8_tsp_1])])])])])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ v1_tsp_1(X1,esk1_0)
    | ~ m1_subset_1(esk3_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_32,c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).

cnf(c_0_41,plain,
    ( m1_subset_1(esk3_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_26]) ).

cnf(c_0_42,plain,
    ~ r2_hidden(X1,esk87_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    ( r2_hidden(esk19_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_39]) ).

cnf(c_0_44,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_40,c_0_41]),c_0_34]),c_0_35])]),c_0_36]) ).

cnf(c_0_45,plain,
    ( v1_tsp_1(esk87_0,X1)
    | ~ l1_pre_topc(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_30])]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_30]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : TOP028+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 06:21:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected SinE mode:
% 1.40/1.58  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/1.58  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.40/1.58  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.40/1.58  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 31.28/8.03  # ENIGMATIC: Solved by autoschedule:
% 31.28/8.03  # SinE strategy is gf120_h_gu_R02_F100_L20000
% 31.28/8.03  # Trying AutoSched0 for 148 seconds
% 31.28/8.03  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_TT_S0Y
% 31.28/8.03  # and selection function SelectMaxLComplexAvoidPosPred.
% 31.28/8.03  #
% 31.28/8.03  # Preprocessing time       : 0.240 s
% 31.28/8.03  # Presaturation interreduction done
% 31.28/8.03  
% 31.28/8.03  # Proof found!
% 31.28/8.03  # SZS status Theorem
% 31.28/8.03  # SZS output start CNFRefutation
% See solution above
% 31.28/8.03  # Training examples: 0 positive, 0 negative
% 31.28/8.03  
% 31.28/8.03  # -------------------------------------------------
% 31.28/8.03  # User time                : 2.383 s
% 31.28/8.03  # System time              : 0.161 s
% 31.28/8.03  # Total time               : 2.544 s
% 31.28/8.03  # Maximum resident set size: 77464 pages
% 31.28/8.03  
%------------------------------------------------------------------------------