↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : TOP037+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 21:25:32 EDT 2022

% Result   : Theorem 0.54s 25.73s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   42 (  10 unt;   0 def)
%            Number of atoms       :  285 (  26 equ)
%            Maximal formula atoms :   63 (   6 avg)
%            Number of connectives :  410 ( 167   ~; 180   |;  42   &)
%                                         (   2 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-4 aty)
%            Number of variables   :   62 (   1 sgn  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t30_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)))
             => k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3) = k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),k3_tex_4(X1,X3)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t30_tsp_2) ).

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',d12_tsp_2) ).

fof(l19_tsp_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m2_tsp_1(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',l19_tsp_2) ).

fof(t35_tex_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k3_tex_4(X1,X2) = k3_tex_4(X1,k3_tex_4(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t35_tex_4) ).

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',dt_k4_tsp_2) ).

fof(dt_k3_tex_4,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',dt_k3_tex_4) ).

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/benchmark/Axioms/SET007/SET007+406.ax',redefinition_m2_tsp_1) ).

fof(c_0_7,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)))
               => k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3) = k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),k3_tex_4(X1,X3)) ) ) ),
    inference(assume_negation,[status(cth)],[t30_tsp_2]) ).

fof(c_0_8,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(esk10_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) )
      & ( esk10_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(esk11_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),esk10_3(X6,X7,X8),k3_tex_4(X6,esk11_3(X6,X7,X8))) != k4_pre_topc(X6,X7,X8,esk11_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])])])])])])])]) ).

fof(c_0_9,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ l1_pre_topc(X3)
      | ~ m2_tsp_1(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)],[inference(fof_simplification,[status(thm)],[l19_tsp_2])])])])])]) ).

fof(c_0_10,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)))
    & k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) != k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k3_tex_4(esk1_0,esk3_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_7])])])])])]) ).

cnf(c_0_11,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_8]) ).

cnf(c_0_12,plain,
    ( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X2)
    | ~ m2_tsp_1(X1,X2)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) != k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k3_tex_4(esk1_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( k5_subset_1(u1_struct_0(X1),u1_struct_0(X2),k3_tex_4(X1,X3)) = k4_pre_topc(X1,X2,X4,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | X4 != k4_tsp_2(X1,X2)
    | ~ v2_tsp_2(X2,X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v5_pre_topc(X4,X1,X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X4)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_11]),c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    v2_tsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    m2_tsp_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_21,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | k3_tex_4(X3,X4) = k3_tex_4(X3,k3_tex_4(X3,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)],[t35_tex_4])])])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,k3_tex_4(esk1_0,esk3_0))) != k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_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))
    | ~ 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_subset_1(k3_tex_4(esk1_0,esk3_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(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_23,plain,
    ( k3_tex_4(X1,X2) = k3_tex_4(X1,k3_tex_4(X1,X2))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    ( k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_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))
    | ~ 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_subset_1(k3_tex_4(esk1_0,esk3_0),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_22,c_0_23]),c_0_18]),c_0_24])]),c_0_20]) ).

fof(c_0_26,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_27,negated_conjecture,
    ( ~ 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))
    | ~ 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_subset_1(k3_tex_4(esk1_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_25,c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_24])]),c_0_19]),c_0_20]) ).

cnf(c_0_28,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_26]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ v5_pre_topc(k4_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ m1_pre_topc(esk2_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))
    | ~ m1_subset_1(k3_tex_4(esk1_0,esk3_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_27,c_0_28]),c_0_15]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_30,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_26]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ v5_pre_topc(k4_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
    | ~ m1_subset_1(k3_tex_4(esk1_0,esk3_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_29,c_0_30]),c_0_15]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_32,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_26]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
    | ~ m1_subset_1(k3_tex_4(esk1_0,esk3_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_31,c_0_32]),c_0_15]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_34,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_26]) ).

fof(c_0_35,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | m1_subset_1(k3_tex_4(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_tex_4])])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ m1_subset_1(k3_tex_4(esk1_0,esk3_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_33,c_0_34]),c_0_15]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_37,plain,
    ( m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_38,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_39,negated_conjecture,
    ~ m1_pre_topc(esk2_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_36,c_0_37]),c_0_18]),c_0_24])]),c_0_20]) ).

cnf(c_0_40,plain,
    ( m1_pre_topc(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_16]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : TOP037+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n022.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  : 600
% 0.12/0.33  % DateTime : Sun May 29 10:55:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.54/23.60  eprover: CPU time limit exceeded, terminating
% 0.54/23.60  eprover: CPU time limit exceeded, terminating
% 0.54/23.61  eprover: CPU time limit exceeded, terminating
% 0.54/23.61  eprover: CPU time limit exceeded, terminating
% 0.54/25.73  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.54/25.73  
% 0.54/25.73  # Failure: Resource limit exceeded (time)
% 0.54/25.73  # OLD status Res
% 0.54/25.73  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.54/25.73  # Preprocessing time       : 0.174 s
% 0.54/25.73  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.54/25.73  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.54/25.73  # Preprocessing time       : 0.080 s
% 0.54/25.73  
% 0.54/25.73  # Proof found!
% 0.54/25.73  # SZS status Theorem
% 0.54/25.73  # SZS output start CNFRefutation
% See solution above
% 0.54/25.73  # Proof object total steps             : 42
% 0.54/25.73  # Proof object clause steps            : 27
% 0.54/25.73  # Proof object formula steps           : 15
% 0.54/25.73  # Proof object conjectures             : 20
% 0.54/25.73  # Proof object clause conjectures      : 17
% 0.54/25.73  # Proof object formula conjectures     : 3
% 0.54/25.73  # Proof object initial clauses used    : 17
% 0.54/25.73  # Proof object initial formulas used   : 7
% 0.54/25.73  # Proof object generating inferences   : 10
% 0.54/25.73  # Proof object simplifying inferences  : 51
% 0.54/25.73  # Training examples: 0 positive, 0 negative
% 0.54/25.73  # Parsed axioms                        : 3635
% 0.54/25.73  # Removed by relevancy pruning/SinE    : 3577
% 0.54/25.73  # Initial clauses                      : 180
% 0.54/25.73  # Removed in clause preprocessing      : 2
% 0.54/25.73  # Initial clauses in saturation        : 178
% 0.54/25.73  # Processed clauses                    : 2252
% 0.54/25.73  # ...of these trivial                  : 12
% 0.54/25.73  # ...subsumed                          : 1570
% 0.54/25.73  # ...remaining for further processing  : 670
% 0.54/25.73  # Other redundant clauses eliminated   : 15
% 0.54/25.73  # Clauses deleted for lack of memory   : 0
% 0.54/25.73  # Backward-subsumed                    : 21
% 0.54/25.73  # Backward-rewritten                   : 0
% 0.54/25.73  # Generated clauses                    : 74241
% 0.54/25.73  # ...of the previous two non-trivial   : 73123
% 0.54/25.73  # Contextual simplify-reflections      : 761
% 0.54/25.73  # Paramodulations                      : 74219
% 0.54/25.73  # Factorizations                       : 0
% 0.54/25.73  # Equation resolutions                 : 22
% 0.54/25.73  # Current number of processed clauses  : 643
% 0.54/25.73  #    Positive orientable unit clauses  : 10
% 0.54/25.73  #    Positive unorientable unit clauses: 0
% 0.54/25.73  #    Negative unit clauses             : 4
% 0.54/25.73  #    Non-unit-clauses                  : 629
% 0.54/25.73  # Current number of unprocessed clauses: 69517
% 0.54/25.73  # ...number of literals in the above   : 593614
% 0.54/25.73  # Current number of archived formulas  : 0
% 0.54/25.73  # Current number of archived clauses   : 21
% 0.54/25.73  # Clause-clause subsumption calls (NU) : 221718
% 0.54/25.73  # Rec. Clause-clause subsumption calls : 7221
% 0.54/25.73  # Non-unit clause-clause subsumptions  : 2352
% 0.54/25.73  # Unit Clause-clause subsumption calls : 87
% 0.54/25.73  # Rewrite failures with RHS unbound    : 0
% 0.54/25.73  # BW rewrite match attempts            : 0
% 0.54/25.73  # BW rewrite match successes           : 0
% 0.54/25.73  # Condensation attempts                : 0
% 0.54/25.73  # Condensation successes               : 0
% 0.54/25.73  # Termbank termtop insertions          : 4106807
% 0.54/25.73  
% 0.54/25.73  # -------------------------------------------------
% 0.54/25.73  # User time                : 1.313 s
% 0.54/25.73  # System time              : 0.048 s
% 0.54/25.73  # Total time               : 1.361 s
% 0.54/25.73  # Maximum resident set size: 75820 pages
% 0.54/46.62  eprover: CPU time limit exceeded, terminating
% 0.54/46.62  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.54/46.62  
% 0.54/46.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.64  eprover: No such file or directory
% 0.54/46.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.64  eprover: No such file or directory
% 0.54/46.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.64  eprover: No such file or directory
% 0.54/46.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.64  eprover: No such file or directory
% 0.54/46.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.64  eprover: No such file or directory
% 0.54/46.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.64  eprover: No such file or directory
% 0.54/46.65  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.65  eprover: No such file or directory
% 0.54/46.65  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.65  eprover: No such file or directory
% 0.54/46.65  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.65  eprover: No such file or directory
% 0.54/46.65  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.65  eprover: No such file or directory
% 0.54/46.65  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.65  eprover: No such file or directory
% 0.54/46.65  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.65  eprover: No such file or directory
% 0.54/46.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.66  eprover: No such file or directory
% 0.54/46.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.66  eprover: No such file or directory
% 0.54/46.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.66  eprover: No such file or directory
% 0.54/46.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.66  eprover: No such file or directory
% 0.54/46.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.66  eprover: No such file or directory
% 0.54/46.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.66  eprover: No such file or directory
% 0.54/46.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.66  eprover: No such file or directory
% 0.54/46.67  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.67  eprover: No such file or directory
% 0.54/46.67  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.67  eprover: No such file or directory
% 0.54/46.67  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.67  eprover: No such file or directory
% 0.54/46.67  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.67  eprover: No such file or directory
% 0.54/46.67  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.67  eprover: No such file or directory
% 0.54/46.67  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.67  eprover: No such file or directory
% 0.54/46.68  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.68  eprover: No such file or directory
% 0.54/46.68  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.68  eprover: No such file or directory
% 0.54/46.68  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.68  eprover: No such file or directory
% 0.54/46.68  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.68  eprover: No such file or directory
% 0.54/46.68  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.54/46.68  eprover: No such file or directory
%------------------------------------------------------------------------------