TSTP Solution File: CAT032+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CAT032+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n029.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  : 300s
% DateTime : Wed Aug 30 18:14:21 EDT 2023

% Result   : Theorem 0.19s 0.60s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   47
% Syntax   : Number of formulae    :   79 (   9 unt;  41 typ;   0 def)
%            Number of atoms       :  211 (   0 equ)
%            Maximal formula atoms :   19 (   5 avg)
%            Number of connectives :  306 ( 133   ~; 121   |;  37   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   62 (  34   >;  28   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;   7 con; 0-6 aty)
%            Number of variables   :   52 (   0 sgn;  31   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    v2_cat_1: $i > $o ).

tff(decl_23,type,
    l1_cat_1: $i > $o ).

tff(decl_24,type,
    k11_cat_2: ( $i * $i ) > $i ).

tff(decl_25,type,
    k12_nattra_1: ( $i * $i ) > $i ).

tff(decl_26,type,
    r1_isocat_1: ( $i * $i ) > $o ).

tff(decl_27,type,
    v1_cat_1: $i > $o ).

tff(decl_28,type,
    u1_cat_1: $i > $i ).

tff(decl_29,type,
    u2_cat_1: $i > $i ).

tff(decl_30,type,
    u3_cat_1: $i > $i ).

tff(decl_31,type,
    u4_cat_1: $i > $i ).

tff(decl_32,type,
    u5_cat_1: $i > $i ).

tff(decl_33,type,
    u6_cat_1: $i > $i ).

tff(decl_34,type,
    g1_cat_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_35,type,
    r2_hidden: ( $i * $i ) > $o ).

tff(decl_36,type,
    k2_zfmisc_1: ( $i * $i ) > $i ).

tff(decl_37,type,
    k1_zfmisc_1: $i > $i ).

tff(decl_38,type,
    m1_subset_1: ( $i * $i ) > $o ).

tff(decl_39,type,
    v1_relat_1: $i > $o ).

tff(decl_40,type,
    m2_cat_1: ( $i * $i * $i ) > $o ).

tff(decl_41,type,
    v8_cat_1: ( $i * $i * $i ) > $o ).

tff(decl_42,type,
    v1_xboole_0: $i > $o ).

tff(decl_43,type,
    v1_funct_1: $i > $o ).

tff(decl_44,type,
    v1_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_45,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_46,type,
    k17_isocat_2: ( $i * $i * $i ) > $i ).

tff(decl_47,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_48,type,
    k1_xboole_0: $i ).

tff(decl_49,type,
    r1_tarski: ( $i * $i ) > $o ).

tff(decl_50,type,
    esk1_0: $i ).

tff(decl_51,type,
    esk2_0: $i ).

tff(decl_52,type,
    esk3_0: $i ).

tff(decl_53,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_54,type,
    esk5_0: $i ).

tff(decl_55,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_56,type,
    esk7_1: $i > $i ).

tff(decl_57,type,
    esk8_2: ( $i * $i ) > $i ).

tff(decl_58,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_59,type,
    esk10_1: $i > $i ).

tff(decl_60,type,
    esk11_0: $i ).

tff(decl_61,type,
    esk12_1: $i > $i ).

tff(decl_62,type,
    esk13_0: $i ).

fof(t49_isocat_2,conjecture,
    ! [X1] :
      ( ( v2_cat_1(X1)
        & l1_cat_1(X1) )
     => ! [X2] :
          ( ( v2_cat_1(X2)
            & l1_cat_1(X2) )
         => ! [X3] :
              ( ( v2_cat_1(X3)
                & l1_cat_1(X3) )
             => r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_isocat_2) ).

fof(d4_isocat_1,axiom,
    ! [X1] :
      ( ( v2_cat_1(X1)
        & l1_cat_1(X1) )
     => ! [X2] :
          ( ( v2_cat_1(X2)
            & l1_cat_1(X2) )
         => ( r1_isocat_1(X1,X2)
          <=> ? [X3] :
                ( m2_cat_1(X3,X1,X2)
                & v8_cat_1(X3,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_isocat_1) ).

fof(t48_isocat_2,axiom,
    ! [X1] :
      ( ( v2_cat_1(X1)
        & l1_cat_1(X1) )
     => ! [X2] :
          ( ( v2_cat_1(X2)
            & l1_cat_1(X2) )
         => ! [X3] :
              ( ( v2_cat_1(X3)
                & l1_cat_1(X3) )
             => v8_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_isocat_2) ).

fof(dt_k17_isocat_2,axiom,
    ! [X1,X2,X3] :
      ( ( v2_cat_1(X1)
        & l1_cat_1(X1)
        & v2_cat_1(X2)
        & l1_cat_1(X2)
        & v2_cat_1(X3)
        & l1_cat_1(X3) )
     => m2_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_isocat_2) ).

fof(dt_k11_cat_2,axiom,
    ! [X1,X2] :
      ( ( v2_cat_1(X1)
        & l1_cat_1(X1)
        & v2_cat_1(X2)
        & l1_cat_1(X2) )
     => ( v2_cat_1(k11_cat_2(X1,X2))
        & l1_cat_1(k11_cat_2(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).

fof(dt_k12_nattra_1,axiom,
    ! [X1,X2] :
      ( ( v2_cat_1(X1)
        & l1_cat_1(X1)
        & v2_cat_1(X2)
        & l1_cat_1(X2) )
     => ( v1_cat_1(k12_nattra_1(X1,X2))
        & v2_cat_1(k12_nattra_1(X1,X2))
        & l1_cat_1(k12_nattra_1(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1] :
        ( ( v2_cat_1(X1)
          & l1_cat_1(X1) )
       => ! [X2] :
            ( ( v2_cat_1(X2)
              & l1_cat_1(X2) )
           => ! [X3] :
                ( ( v2_cat_1(X3)
                  & l1_cat_1(X3) )
               => r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3))) ) ) ),
    inference(assume_negation,[status(cth)],[t49_isocat_2]) ).

fof(c_0_7,plain,
    ! [X22,X23,X25] :
      ( ( m2_cat_1(esk4_2(X22,X23),X22,X23)
        | ~ r1_isocat_1(X22,X23)
        | ~ v2_cat_1(X23)
        | ~ l1_cat_1(X23)
        | ~ v2_cat_1(X22)
        | ~ l1_cat_1(X22) )
      & ( v8_cat_1(esk4_2(X22,X23),X22,X23)
        | ~ r1_isocat_1(X22,X23)
        | ~ v2_cat_1(X23)
        | ~ l1_cat_1(X23)
        | ~ v2_cat_1(X22)
        | ~ l1_cat_1(X22) )
      & ( ~ m2_cat_1(X25,X22,X23)
        | ~ v8_cat_1(X25,X22,X23)
        | r1_isocat_1(X22,X23)
        | ~ v2_cat_1(X23)
        | ~ l1_cat_1(X23)
        | ~ v2_cat_1(X22)
        | ~ l1_cat_1(X22) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_isocat_1])])])])]) ).

fof(c_0_8,plain,
    ! [X98,X99,X100] :
      ( ~ v2_cat_1(X98)
      | ~ l1_cat_1(X98)
      | ~ v2_cat_1(X99)
      | ~ l1_cat_1(X99)
      | ~ v2_cat_1(X100)
      | ~ l1_cat_1(X100)
      | v8_cat_1(k17_isocat_2(X98,X99,X100),k12_nattra_1(X98,k11_cat_2(X99,X100)),k11_cat_2(k12_nattra_1(X98,X99),k12_nattra_1(X98,X100))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_isocat_2])])]) ).

fof(c_0_9,plain,
    ! [X36,X37,X38] :
      ( ~ v2_cat_1(X36)
      | ~ l1_cat_1(X36)
      | ~ v2_cat_1(X37)
      | ~ l1_cat_1(X37)
      | ~ v2_cat_1(X38)
      | ~ l1_cat_1(X38)
      | m2_cat_1(k17_isocat_2(X36,X37,X38),k12_nattra_1(X36,k11_cat_2(X37,X38)),k11_cat_2(k12_nattra_1(X36,X37),k12_nattra_1(X36,X38))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k17_isocat_2])]) ).

fof(c_0_10,negated_conjecture,
    ( v2_cat_1(esk1_0)
    & l1_cat_1(esk1_0)
    & v2_cat_1(esk2_0)
    & l1_cat_1(esk2_0)
    & v2_cat_1(esk3_0)
    & l1_cat_1(esk3_0)
    & ~ r1_isocat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)),k11_cat_2(k12_nattra_1(esk1_0,esk2_0),k12_nattra_1(esk1_0,esk3_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

cnf(c_0_11,plain,
    ( r1_isocat_1(X2,X3)
    | ~ m2_cat_1(X1,X2,X3)
    | ~ v8_cat_1(X1,X2,X3)
    | ~ v2_cat_1(X3)
    | ~ l1_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ l1_cat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( v8_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ l1_cat_1(X2)
    | ~ v2_cat_1(X3)
    | ~ l1_cat_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( m2_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ l1_cat_1(X2)
    | ~ v2_cat_1(X3)
    | ~ l1_cat_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)),k11_cat_2(k12_nattra_1(esk1_0,esk2_0),k12_nattra_1(esk1_0,esk3_0))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ l1_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ l1_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ v2_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    l1_cat_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    l1_cat_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,negated_conjecture,
    l1_cat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    v2_cat_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    v2_cat_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_21,negated_conjecture,
    v2_cat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_22,plain,
    ! [X32,X33] :
      ( ( v2_cat_1(k11_cat_2(X32,X33))
        | ~ v2_cat_1(X32)
        | ~ l1_cat_1(X32)
        | ~ v2_cat_1(X33)
        | ~ l1_cat_1(X33) )
      & ( l1_cat_1(k11_cat_2(X32,X33))
        | ~ v2_cat_1(X32)
        | ~ l1_cat_1(X32)
        | ~ v2_cat_1(X33)
        | ~ l1_cat_1(X33) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk1_0,esk2_0),k12_nattra_1(esk1_0,esk3_0)))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)))
    | ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk1_0,esk2_0),k12_nattra_1(esk1_0,esk3_0)))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0))) ),
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_24,plain,
    ( v2_cat_1(k11_cat_2(X1,X2))
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ l1_cat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_25,plain,
    ( l1_cat_1(k11_cat_2(X1,X2))
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ l1_cat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_26,plain,
    ! [X34,X35] :
      ( ( v1_cat_1(k12_nattra_1(X34,X35))
        | ~ v2_cat_1(X34)
        | ~ l1_cat_1(X34)
        | ~ v2_cat_1(X35)
        | ~ l1_cat_1(X35) )
      & ( v2_cat_1(k12_nattra_1(X34,X35))
        | ~ v2_cat_1(X34)
        | ~ l1_cat_1(X34)
        | ~ v2_cat_1(X35)
        | ~ l1_cat_1(X35) )
      & ( l1_cat_1(k12_nattra_1(X34,X35))
        | ~ v2_cat_1(X34)
        | ~ l1_cat_1(X34)
        | ~ v2_cat_1(X35)
        | ~ l1_cat_1(X35) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_nattra_1])])]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_28,plain,
    ( v2_cat_1(k12_nattra_1(X1,X2))
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ l1_cat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0)))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18]),c_0_21])]) ).

cnf(c_0_30,plain,
    ( l1_cat_1(k12_nattra_1(X1,X2))
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ l1_cat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_18]),c_0_21])]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_24]),c_0_16]),c_0_17]),c_0_19]),c_0_20])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_16]),c_0_17]),c_0_19]),c_0_20])]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,esk3_0))
    | ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_16]),c_0_18]),c_0_19]),c_0_21])]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_16]),c_0_18]),c_0_19]),c_0_21])]) ).

cnf(c_0_36,negated_conjecture,
    ~ l1_cat_1(k12_nattra_1(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_17]),c_0_18]),c_0_20]),c_0_21])]) ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_30]),c_0_17]),c_0_18]),c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CAT032+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n029.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    : 300
% 0.13/0.33  % DateTime   : Sun Aug 27 01:01:10 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.19/0.55  start to proof: theBenchmark
% 0.19/0.60  % Version  : CSE_E---1.5
% 0.19/0.60  % Problem  : theBenchmark.p
% 0.19/0.60  % Proof found
% 0.19/0.60  % SZS status Theorem for theBenchmark.p
% 0.19/0.60  % SZS output start Proof
% See solution above
% 0.19/0.60  % Total time : 0.044000 s
% 0.19/0.60  % SZS output end Proof
% 0.19/0.60  % Total time : 0.046000 s
%------------------------------------------------------------------------------