TSTP Solution File: LAT359+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT359+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 : Sun Jul 17 04:47:48 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   66 (  13 unt;   0 def)
%            Number of atoms       :  217 (  42 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  259 ( 108   ~;  97   |;  32   &)
%                                         (   4 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :  142 (  21 sgn  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d3_pboole,axiom,
    ! [X1,X2] :
      ( ( v1_relat_1(X2)
        & v1_funct_1(X2) )
     => ( m1_pboole(X2,X1)
      <=> k1_relat_1(X2) = X1 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_pboole) ).

fof(dt_m1_pboole,axiom,
    ! [X1,X2] :
      ( m1_pboole(X2,X1)
     => ( v1_relat_1(X2)
        & v1_funct_1(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_pboole) ).

fof(d1_binop_1,axiom,
    ! [X1] :
      ( ( v1_relat_1(X1)
        & v1_funct_1(X1) )
     => ! [X2,X3] : k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k4_tarski(X2,X3)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_binop_1) ).

fof(d5_tarski,axiom,
    ! [X1,X2] : k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_tarski) ).

fof(t106_zfmisc_1,axiom,
    ! [X1,X2,X3,X4] :
      ( r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))
    <=> ( r2_hidden(X1,X3)
        & r2_hidden(X2,X4) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t106_zfmisc_1) ).

fof(dt_u1_altcat_1,axiom,
    ! [X1] :
      ( l1_altcat_1(X1)
     => m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_altcat_1) ).

fof(d4_funct_1,axiom,
    ! [X1] :
      ( ( v1_relat_1(X1)
        & v1_funct_1(X1) )
     => ! [X2,X3] :
          ( ( r2_hidden(X2,k1_relat_1(X1))
           => ( X3 = k1_funct_1(X1,X2)
            <=> r2_hidden(k4_tarski(X2,X3),X1) ) )
          & ( ~ r2_hidden(X2,k1_relat_1(X1))
           => ( X3 = k1_funct_1(X1,X2)
            <=> X3 = k1_xboole_0 ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_funct_1) ).

fof(t12_waybel34,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l2_altcat_1(X1) )
     => ! [X2,X3,X4] :
          ~ ( r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))
            & ! [X5] :
                ( m1_subset_1(X5,u1_struct_0(X1))
               => ! [X6] :
                    ( m1_subset_1(X6,u1_struct_0(X1))
                   => ~ ( X5 = X2
                        & X6 = X3
                        & r2_hidden(X4,k1_altcat_1(X1,X5,X6))
                        & m1_subset_1(X4,k1_altcat_1(X1,X5,X6)) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t12_waybel34) ).

fof(dt_l2_altcat_1,axiom,
    ! [X1] :
      ( l2_altcat_1(X1)
     => l1_altcat_1(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l2_altcat_1) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).

fof(t1_subset,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => m1_subset_1(X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).

fof(d2_altcat_1,axiom,
    ! [X1] :
      ( l1_altcat_1(X1)
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => k1_altcat_1(X1,X2,X3) = k1_binop_1(u1_altcat_1(X1),X2,X3) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_altcat_1) ).

fof(fc6_membered,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_membered(k1_xboole_0)
    & v2_membered(k1_xboole_0)
    & v3_membered(k1_xboole_0)
    & v4_membered(k1_xboole_0)
    & v5_membered(k1_xboole_0) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc6_membered) ).

fof(c_0_13,plain,
    ! [X3,X4] :
      ( ( ~ m1_pboole(X4,X3)
        | k1_relat_1(X4) = X3
        | ~ v1_relat_1(X4)
        | ~ v1_funct_1(X4) )
      & ( k1_relat_1(X4) != X3
        | m1_pboole(X4,X3)
        | ~ v1_relat_1(X4)
        | ~ v1_funct_1(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])]) ).

fof(c_0_14,plain,
    ! [X3,X4] :
      ( ( v1_relat_1(X4)
        | ~ m1_pboole(X4,X3) )
      & ( v1_funct_1(X4)
        | ~ m1_pboole(X4,X3) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).

fof(c_0_15,plain,
    ! [X4,X5,X6] :
      ( ~ v1_relat_1(X4)
      | ~ v1_funct_1(X4)
      | k1_binop_1(X4,X5,X6) = k1_funct_1(X4,k4_tarski(X5,X6)) ),
    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)],[d1_binop_1])])])])]) ).

fof(c_0_16,plain,
    ! [X3,X4] : k4_tarski(X3,X4) = k2_tarski(k2_tarski(X3,X4),k1_tarski(X3)),
    inference(variable_rename,[status(thm)],[d5_tarski]) ).

fof(c_0_17,plain,
    ! [X5,X6,X7,X8,X5,X6,X7,X8] :
      ( ( r2_hidden(X5,X7)
        | ~ r2_hidden(k4_tarski(X5,X6),k2_zfmisc_1(X7,X8)) )
      & ( r2_hidden(X6,X8)
        | ~ r2_hidden(k4_tarski(X5,X6),k2_zfmisc_1(X7,X8)) )
      & ( ~ r2_hidden(X5,X7)
        | ~ r2_hidden(X6,X8)
        | r2_hidden(k4_tarski(X5,X6),k2_zfmisc_1(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])])])]) ).

cnf(c_0_18,plain,
    ( k1_relat_1(X1) = X2
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1)
    | ~ m1_pboole(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( v1_relat_1(X1)
    | ~ m1_pboole(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( v1_funct_1(X1)
    | ~ m1_pboole(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_21,plain,
    ! [X2] :
      ( ~ l1_altcat_1(X2)
      | m1_pboole(u1_altcat_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_altcat_1])]) ).

fof(c_0_22,plain,
    ! [X4,X5,X6,X6,X5,X6,X6] :
      ( ( X6 != k1_funct_1(X4,X5)
        | r2_hidden(k4_tarski(X5,X6),X4)
        | ~ r2_hidden(X5,k1_relat_1(X4))
        | ~ v1_relat_1(X4)
        | ~ v1_funct_1(X4) )
      & ( ~ r2_hidden(k4_tarski(X5,X6),X4)
        | X6 = k1_funct_1(X4,X5)
        | ~ r2_hidden(X5,k1_relat_1(X4))
        | ~ v1_relat_1(X4)
        | ~ v1_funct_1(X4) )
      & ( X6 != k1_funct_1(X4,X5)
        | X6 = k1_xboole_0
        | r2_hidden(X5,k1_relat_1(X4))
        | ~ v1_relat_1(X4)
        | ~ v1_funct_1(X4) )
      & ( X6 != k1_xboole_0
        | X6 = k1_funct_1(X4,X5)
        | r2_hidden(X5,k1_relat_1(X4))
        | ~ v1_relat_1(X4)
        | ~ v1_funct_1(X4) ) ),
    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)],[inference(fof_simplification,[status(thm)],[d4_funct_1])])])])])])]) ).

cnf(c_0_23,plain,
    ( k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k4_tarski(X2,X3))
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,plain,
    k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_25,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & l2_altcat_1(X1) )
       => ! [X2,X3,X4] :
            ~ ( r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))
              & ! [X5] :
                  ( m1_subset_1(X5,u1_struct_0(X1))
                 => ! [X6] :
                      ( m1_subset_1(X6,u1_struct_0(X1))
                     => ~ ( X5 = X2
                          & X6 = X3
                          & r2_hidden(X4,k1_altcat_1(X1,X5,X6))
                          & m1_subset_1(X4,k1_altcat_1(X1,X5,X6)) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t12_waybel34]) ).

cnf(c_0_26,plain,
    ( r2_hidden(X1,X3)
    | ~ r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,plain,
    ( k1_relat_1(X1) = X2
    | ~ m1_pboole(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_28,plain,
    ( m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
    | ~ l1_altcat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    ( r2_hidden(X2,k1_relat_1(X1))
    | X3 = k1_xboole_0
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1)
    | X3 != k1_funct_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ( k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)))
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1) ),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

fof(c_0_31,plain,
    ! [X2] :
      ( ~ l2_altcat_1(X2)
      | l1_altcat_1(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).

fof(c_0_32,negated_conjecture,
    ! [X11,X12] :
      ( ~ v3_struct_0(esk1_0)
      & l2_altcat_1(esk1_0)
      & r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0))
      & ( ~ m1_subset_1(X11,u1_struct_0(esk1_0))
        | ~ m1_subset_1(X12,u1_struct_0(esk1_0))
        | X11 != esk2_0
        | X12 != esk3_0
        | ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X11,X12))
        | ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X11,X12)) ) ),
    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)],[c_0_25])])])])])])]) ).

fof(c_0_33,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | ~ v1_xboole_0(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

cnf(c_0_34,plain,
    ( r2_hidden(X1,X3)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),k2_zfmisc_1(X3,X4)) ),
    inference(rw,[status(thm)],[c_0_26,c_0_24]) ).

cnf(c_0_35,plain,
    ( k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)) = k1_relat_1(u1_altcat_1(X1))
    | ~ l1_altcat_1(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_36,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),k1_relat_1(X4))
    | X1 != k1_binop_1(X4,X2,X3)
    | ~ v1_relat_1(X4)
    | ~ v1_funct_1(X4) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,plain,
    ( r2_hidden(X2,X4)
    | ~ r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_38,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | m1_subset_1(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).

fof(c_0_39,plain,
    ! [X4,X5,X6] :
      ( ~ l1_altcat_1(X4)
      | ~ m1_subset_1(X5,u1_struct_0(X4))
      | ~ m1_subset_1(X6,u1_struct_0(X4))
      | k1_altcat_1(X4,X5,X6) = k1_binop_1(u1_altcat_1(X4),X5,X6) ),
    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)],[d2_altcat_1])])])])]) ).

cnf(c_0_40,plain,
    ( l1_altcat_1(X1)
    | ~ l2_altcat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,negated_conjecture,
    l2_altcat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,negated_conjecture,
    r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_altcat_1(X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k1_tarski(X1)),k1_relat_1(u1_altcat_1(X2))) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_45,plain,
    ( k1_binop_1(X1,X2,X3) = k1_xboole_0
    | r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),k1_relat_1(X1))
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(X1) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_46,plain,
    ( v1_funct_1(u1_altcat_1(X1))
    | ~ l1_altcat_1(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_28]) ).

cnf(c_0_47,plain,
    ( v1_relat_1(u1_altcat_1(X1))
    | ~ l1_altcat_1(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_28]) ).

cnf(c_0_48,plain,
    ( r2_hidden(X2,X4)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),k2_zfmisc_1(X3,X4)) ),
    inference(rw,[status(thm)],[c_0_37,c_0_24]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X1,X2))
    | ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X1,X2))
    | X2 != esk3_0
    | X1 != esk2_0
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_50,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_51,plain,
    ( k1_altcat_1(X1,X2,X3) = k1_binop_1(u1_altcat_1(X1),X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_altcat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_52,negated_conjecture,
    l1_altcat_1(esk1_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_53,negated_conjecture,
    ~ v1_xboole_0(k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_54,plain,
    ( k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_xboole_0
    | r2_hidden(X2,u1_struct_0(X1))
    | ~ l1_altcat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]) ).

cnf(c_0_55,plain,
    v1_xboole_0(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc6_membered]) ).

cnf(c_0_56,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_altcat_1(X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X3,X1),k1_tarski(X3)),k1_relat_1(u1_altcat_1(X2))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_35]) ).

cnf(c_0_57,negated_conjecture,
    ( X1 != esk3_0
    | X2 != esk2_0
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X2,X1)) ),
    inference(csr,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_58,negated_conjecture,
    ( r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0))
    | ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_52])]) ).

cnf(c_0_59,negated_conjecture,
    r2_hidden(esk2_0,u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_52])]) ).

cnf(c_0_60,plain,
    ( k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_xboole_0
    | r2_hidden(X3,u1_struct_0(X1))
    | ~ l1_altcat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_45]),c_0_46]),c_0_47]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    inference(spm,[status(thm)],[c_0_50,c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    r2_hidden(esk3_0,u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_60]),c_0_55]),c_0_52])]) ).

cnf(c_0_64,negated_conjecture,
    ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).

cnf(c_0_65,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_63]),c_0_64]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT359+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n023.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 : Tue Jun 28 20:19:15 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.017 s
% 0.22/1.40  
% 0.22/1.40  # Failure: Out of unprocessed clauses!
% 0.22/1.40  # OLD status GaveUp
% 0.22/1.40  # Parsed axioms                        : 73
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 41
% 0.22/1.40  # Initial clauses                      : 46
% 0.22/1.40  # Removed in clause preprocessing      : 1
% 0.22/1.40  # Initial clauses in saturation        : 45
% 0.22/1.40  # Processed clauses                    : 140
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 62
% 0.22/1.40  # ...remaining for further processing  : 78
% 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                    : 2
% 0.22/1.40  # Backward-rewritten                   : 0
% 0.22/1.40  # Generated clauses                    : 117
% 0.22/1.40  # ...of the previous two non-trivial   : 97
% 0.22/1.40  # Contextual simplify-reflections      : 2
% 0.22/1.40  # Paramodulations                      : 117
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 76
% 0.22/1.40  #    Positive orientable unit clauses  : 20
% 0.22/1.40  #    Positive unorientable unit clauses: 1
% 0.22/1.40  #    Negative unit clauses             : 9
% 0.22/1.40  #    Non-unit-clauses                  : 46
% 0.22/1.40  # Current number of unprocessed clauses: 0
% 0.22/1.40  # ...number of literals in the above   : 0
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 3
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 2036
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 1862
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 64
% 0.22/1.40  # Unit Clause-clause subsumption calls : 48
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 2
% 0.22/1.40  # BW rewrite match successes           : 2
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 4080
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.022 s
% 0.22/1.40  # System time              : 0.001 s
% 0.22/1.40  # Total time               : 0.023 s
% 0.22/1.40  # Maximum resident set size: 3100 pages
% 0.22/1.40  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.22/1.40  # Preprocessing time       : 0.020 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             : 66
% 0.22/1.40  # Proof object clause steps            : 40
% 0.22/1.40  # Proof object formula steps           : 26
% 0.22/1.40  # Proof object conjectures             : 16
% 0.22/1.40  # Proof object clause conjectures      : 13
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 17
% 0.22/1.40  # Proof object initial formulas used   : 13
% 0.22/1.40  # Proof object generating inferences   : 17
% 0.22/1.40  # Proof object simplifying inferences  : 21
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 73
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.40  # Initial clauses                      : 141
% 0.22/1.40  # Removed in clause preprocessing      : 15
% 0.22/1.40  # Initial clauses in saturation        : 126
% 0.22/1.40  # Processed clauses                    : 851
% 0.22/1.40  # ...of these trivial                  : 20
% 0.22/1.40  # ...subsumed                          : 386
% 0.22/1.40  # ...remaining for further processing  : 445
% 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                    : 9
% 0.22/1.40  # Backward-rewritten                   : 5
% 0.22/1.40  # Generated clauses                    : 1446
% 0.22/1.40  # ...of the previous two non-trivial   : 1334
% 0.22/1.40  # Contextual simplify-reflections      : 94
% 0.22/1.40  # Paramodulations                      : 1436
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 10
% 0.22/1.40  # Current number of processed clauses  : 431
% 0.22/1.40  #    Positive orientable unit clauses  : 46
% 0.22/1.40  #    Positive unorientable unit clauses: 1
% 0.22/1.40  #    Negative unit clauses             : 13
% 0.22/1.40  #    Non-unit-clauses                  : 371
% 0.22/1.40  # Current number of unprocessed clauses: 601
% 0.22/1.40  # ...number of literals in the above   : 2138
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 15
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 69064
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 42001
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 453
% 0.22/1.40  # Unit Clause-clause subsumption calls : 1066
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 11
% 0.22/1.40  # BW rewrite match successes           : 5
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 30771
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.075 s
% 0.22/1.40  # System time              : 0.003 s
% 0.22/1.40  # Total time               : 0.078 s
% 0.22/1.40  # Maximum resident set size: 4448 pages
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 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
% 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
% 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
% 0.22/23.47  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
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------