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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEV044^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:34:46 AM UTC 2026

% Result   : Theorem 0.21s 0.31s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   40 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  131 (   0 equ;   0 cnn)
%            Maximal formula atoms :   41 (   3 avg)
%            Number of connectives :  686 (  59   ~;  80   |;  21   &; 504   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   7 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   75 (   0   ^;  75   !;   0   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    a: $tType ).

thf(decl_sort2,type,
    b: $tType ).

thf(decl_23,type,
    epred1_0: b > $o ).

thf(decl_24,type,
    epred2_0: b > a > a > $o ).

thf(decl_25,type,
    esk1_0: b > a ).

thf(decl_26,type,
    esk2_0: b > a ).

thf(decl_27,type,
    esk3_0: b ).

thf(decl_28,type,
    esk4_0: b > a ).

thf(decl_29,type,
    esk5_0: b > a ).

thf(decl_30,type,
    esk6_0: b > a ).

thf(decl_31,type,
    esk7_0: b ).

thf(cTHM506_pme,conjecture,
    ! [X1: b > $o,X2: b > a > a > $o] :
      ( ! [X3: b] :
          ( ( X1 @ X3 )
         => ( ! [X4: a,X5: a] :
                ( ( X2 @ X3 @ X4 @ X5 )
               => ( X2 @ X3 @ X5 @ X4 ) )
            & ! [X4: a,X5: a,X6: a] :
                ( ( ( X2 @ X3 @ X4 @ X5 )
                  & ( X2 @ X3 @ X5 @ X6 ) )
               => ( X2 @ X3 @ X4 @ X6 ) ) ) )
     => ( ! [X7: b > a,X8: b > a] :
            ( ! [X9: b] :
                ( ( X1 @ X9 )
               => ( X2 @ X9 @ ( X7 @ X9 ) @ ( X8 @ X9 ) ) )
           => ! [X10: b] :
                ( ( X1 @ X10 )
               => ( X2 @ X10 @ ( X8 @ X10 ) @ ( X7 @ X10 ) ) ) )
        & ! [X11: b > a,X12: b > a,X13: b > a] :
            ( ( ! [X14: b] :
                  ( ( X1 @ X14 )
                 => ( X2 @ X14 @ ( X11 @ X14 ) @ ( X12 @ X14 ) ) )
              & ! [X15: b] :
                  ( ( X1 @ X15 )
                 => ( X2 @ X15 @ ( X12 @ X15 ) @ ( X13 @ X15 ) ) ) )
           => ! [X16: b] :
                ( ( X1 @ X16 )
               => ( X2 @ X16 @ ( X11 @ X16 ) @ ( X13 @ X16 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DWppsqk6oV/E---3.1_837409.p',cTHM506_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: b > $o,X2: b > a > a > $o] :
        ( ! [X3: b] :
            ( ( X1 @ X3 )
           => ( ! [X4: a,X5: a] :
                  ( ( X2 @ X3 @ X4 @ X5 )
                 => ( X2 @ X3 @ X5 @ X4 ) )
              & ! [X4: a,X5: a,X6: a] :
                  ( ( ( X2 @ X3 @ X4 @ X5 )
                    & ( X2 @ X3 @ X5 @ X6 ) )
                 => ( X2 @ X3 @ X4 @ X6 ) ) ) )
       => ( ! [X7: b > a,X8: b > a] :
              ( ! [X9: b] :
                  ( ( X1 @ X9 )
                 => ( X2 @ X9 @ ( X7 @ X9 ) @ ( X8 @ X9 ) ) )
             => ! [X10: b] :
                  ( ( X1 @ X10 )
                 => ( X2 @ X10 @ ( X8 @ X10 ) @ ( X7 @ X10 ) ) ) )
          & ! [X11: b > a,X12: b > a,X13: b > a] :
              ( ( ! [X14: b] :
                    ( ( X1 @ X14 )
                   => ( X2 @ X14 @ ( X11 @ X14 ) @ ( X12 @ X14 ) ) )
                & ! [X15: b] :
                    ( ( X1 @ X15 )
                   => ( X2 @ X15 @ ( X12 @ X15 ) @ ( X13 @ X15 ) ) ) )
             => ! [X16: b] :
                  ( ( X1 @ X16 )
                 => ( X2 @ X16 @ ( X11 @ X16 ) @ ( X13 @ X16 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[cTHM506_pme]) ).

thf(c_0_2,negated_conjecture,
    ! [X37: b,X38: a,X39: a,X40: a,X41: a,X42: a,X45: b,X50: b,X51: b] :
      ( ( ~ ( epred2_0 @ X37 @ X38 @ X39 )
        | ( epred2_0 @ X37 @ X39 @ X38 )
        | ~ ( epred1_0 @ X37 ) )
      & ( ~ ( epred2_0 @ X37 @ X40 @ X41 )
        | ~ ( epred2_0 @ X37 @ X41 @ X42 )
        | ( epred2_0 @ X37 @ X40 @ X42 )
        | ~ ( epred1_0 @ X37 ) )
      & ( ~ ( epred1_0 @ X50 )
        | ( epred2_0 @ X50 @ ( esk4_0 @ X50 ) @ ( esk5_0 @ X50 ) )
        | ~ ( epred1_0 @ X45 )
        | ( epred2_0 @ X45 @ ( esk1_0 @ X45 ) @ ( esk2_0 @ X45 ) ) )
      & ( ~ ( epred1_0 @ X51 )
        | ( epred2_0 @ X51 @ ( esk5_0 @ X51 ) @ ( esk6_0 @ X51 ) )
        | ~ ( epred1_0 @ X45 )
        | ( epred2_0 @ X45 @ ( esk1_0 @ X45 ) @ ( esk2_0 @ X45 ) ) )
      & ( ( epred1_0 @ esk7_0 )
        | ~ ( epred1_0 @ X45 )
        | ( epred2_0 @ X45 @ ( esk1_0 @ X45 ) @ ( esk2_0 @ X45 ) ) )
      & ( ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
        | ~ ( epred1_0 @ X45 )
        | ( epred2_0 @ X45 @ ( esk1_0 @ X45 ) @ ( esk2_0 @ X45 ) ) )
      & ( ~ ( epred1_0 @ X50 )
        | ( epred2_0 @ X50 @ ( esk4_0 @ X50 ) @ ( esk5_0 @ X50 ) )
        | ( epred1_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ X51 )
        | ( epred2_0 @ X51 @ ( esk5_0 @ X51 ) @ ( esk6_0 @ X51 ) )
        | ( epred1_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 ) )
      & ( ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
        | ( epred1_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ X50 )
        | ( epred2_0 @ X50 @ ( esk4_0 @ X50 ) @ ( esk5_0 @ X50 ) )
        | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) )
      & ( ~ ( epred1_0 @ X51 )
        | ( epred2_0 @ X51 @ ( esk5_0 @ X51 ) @ ( esk6_0 @ X51 ) )
        | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) )
      & ( ( epred1_0 @ esk7_0 )
        | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) )
      & ( ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
        | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X4: a,X6: a,X5: a,X3: b] :
      ( ( epred2_0 @ X3 @ X4 @ X6 )
      | ~ ( epred2_0 @ X3 @ X4 @ X5 )
      | ~ ( epred2_0 @ X3 @ X5 @ X6 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ! [X5: a,X4: a,X3: b] :
      ( ( epred2_0 @ X3 @ X5 @ X4 )
      | ~ ( epred2_0 @ X3 @ X4 @ X5 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ! [X3: b] :
      ( ( epred1_0 @ esk7_0 )
      | ( epred2_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ! [X4: a,X3: b] :
      ( ( epred2_0 @ X3 @ X4 @ ( esk6_0 @ X3 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred2_0 @ X3 @ X4 @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_8,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_10,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk2_0 @ X3 ) @ ( esk1_0 @ X3 ) )
      | ( epred1_0 @ esk7_0 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

thf(c_0_11,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_12,negated_conjecture,
    ( ( epred1_0 @ esk3_0 )
    | ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_13,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_14,negated_conjecture,
    epred1_0 @ esk7_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

thf(c_0_15,negated_conjecture,
    ! [X3: b,X9: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ( epred2_0 @ X9 @ ( esk1_0 @ X9 ) @ ( esk2_0 @ X9 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred1_0 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_16,negated_conjecture,
    epred1_0 @ esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

thf(c_0_17,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
      | ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_18,negated_conjecture,
    ! [X3: b,X9: b] :
      ( ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ( epred2_0 @ X9 @ ( esk1_0 @ X9 ) @ ( esk2_0 @ X9 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred1_0 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_19,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk5_0 @ esk7_0 ) )
    | ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_14]) ).

thf(c_0_20,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
      | ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_16]) ).

thf(c_0_21,negated_conjecture,
    ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
    | ( epred2_0 @ esk7_0 @ ( esk5_0 @ esk7_0 ) @ ( esk4_0 @ esk7_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_19]),c_0_14])]) ).

thf(c_0_22,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk5_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
    | ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_14]) ).

thf(c_0_23,negated_conjecture,
    ! [X4: a] :
      ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
      | ( epred2_0 @ esk7_0 @ X4 @ ( esk4_0 @ esk7_0 ) )
      | ~ ( epred2_0 @ esk7_0 @ X4 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_21]),c_0_14])]) ).

thf(c_0_24,negated_conjecture,
    ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
    | ( epred2_0 @ esk7_0 @ ( esk6_0 @ esk7_0 ) @ ( esk5_0 @ esk7_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_22]),c_0_14])]) ).

thf(c_0_25,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk6_0 @ esk7_0 ) @ ( esk4_0 @ esk7_0 ) )
    | ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

thf(c_0_26,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X3 ) )
      | ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_27,negated_conjecture,
    ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
    | ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_25]),c_0_14])]) ).

thf(c_0_28,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
      | ( epred2_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

thf(c_0_29,negated_conjecture,
    epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_16]) ).

thf(c_0_30,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_31,negated_conjecture,
    epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_29]),c_0_16])]) ).

thf(c_0_32,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).

thf(c_0_33,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_34,negated_conjecture,
    ( ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_35,negated_conjecture,
    ! [X4: a,X3: b] :
      ( ( epred2_0 @ X3 @ X4 @ ( esk6_0 @ X3 ) )
      | ~ ( epred2_0 @ X3 @ X4 @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_3,c_0_32]) ).

thf(c_0_36,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_31])]) ).

thf(c_0_37,negated_conjecture,
    ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_31])]) ).

thf(c_0_38,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

thf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV044^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n006.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Sep 29 15:03:59 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running higher-order theorem proving
% 0.07/0.24  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.DWppsqk6oV/E---3.1_837409.p
% 0.21/0.31  % Version: 3.5.1-ho
% 0.21/0.31  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.21/0.31  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.31  % Starting post_as_ho1 with 1500s (5) cores
% 0.21/0.31  % Starting post_as_ho12 with 300s (1) cores
% 0.21/0.31  % Starting new_ho_3 with 300s (1) cores
% 0.21/0.31  % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.21/0.31  % post_as_ho12 with pid 837438 completed with status 0
% 0.21/0.31  % Result found by post_as_ho12
% 0.21/0.31  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.21/0.31  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.31  % Starting post_as_ho1 with 1500s (5) cores
% 0.21/0.31  % Starting post_as_ho12 with 300s (1) cores
% 0.21/0.31  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.31  % No SInE strategy applied
% 0.21/0.31  % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.21/0.31  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.31  % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.31  % SubtermCWHack with pid 837442 completed with status 0
% 0.21/0.31  % Result found by SubtermCWHack
% 0.21/0.31  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.21/0.31  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.31  % Starting post_as_ho1 with 1500s (5) cores
% 0.21/0.31  % Starting post_as_ho12 with 300s (1) cores
% 0.21/0.31  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.31  % No SInE strategy applied
% 0.21/0.31  % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.21/0.31  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.31  % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.31  % Preprocessing time       : 0.001 s
% 0.21/0.31  
% 0.21/0.31  % Proof found!
% 0.21/0.31  % SZS status Theorem
% 0.21/0.31  % SZS output start CNFRefutation
% See solution above
% 0.21/0.31  % Parsed axioms                        : 3
% 0.21/0.31  % Removed by relevancy pruning/SinE    : 0
% 0.21/0.31  % Initial clauses                      : 16
% 0.21/0.31  % Removed in clause preprocessing      : 2
% 0.21/0.31  % Initial clauses in saturation        : 14
% 0.21/0.31  % Processed clauses                    : 116
% 0.21/0.31  % ...of these trivial                  : 0
% 0.21/0.31  % ...subsumed                          : 28
% 0.21/0.31  % ...remaining for further processing  : 88
% 0.21/0.31  % Other redundant clauses eliminated   : 0
% 0.21/0.31  % Clauses deleted for lack of memory   : 0
% 0.21/0.31  % Backward-subsumed                    : 13
% 0.21/0.31  % Backward-rewritten                   : 48
% 0.21/0.31  % Generated clauses                    : 173
% 0.21/0.31  % ...of the previous two non-redundant : 145
% 0.21/0.31  % ...aggressively subsumed             : 0
% 0.21/0.31  % Contextual simplify-reflections      : 1
% 0.21/0.31  % Paramodulations                      : 173
% 0.21/0.32  % Factorizations                       : 0
% 0.21/0.32  % NegExts                              : 0
% 0.21/0.32  % Equation resolutions                 : 0
% 0.21/0.32  % Disequality decompositions           : 0
% 0.21/0.32  % Total rewrite steps                  : 142
% 0.21/0.32  % ...of those cached                   : 132
% 0.21/0.32  % Propositional unsat checks           : 0
% 0.21/0.32  %    Propositional check models        : 0
% 0.21/0.32  %    Propositional check unsatisfiable : 0
% 0.21/0.32  %    Propositional clauses             : 0
% 0.21/0.32  %    Propositional clauses after purity: 0
% 0.21/0.32  %    Propositional unsat core size     : 0
% 0.21/0.32  %    Propositional preprocessing time  : 0.000
% 0.21/0.32  %    Propositional encoding time       : 0.000
% 0.21/0.32  %    Propositional solver time         : 0.000
% 0.21/0.32  %    Success case prop preproc time    : 0.000
% 0.21/0.32  %    Success case prop encoding time   : 0.000
% 0.21/0.32  %    Success case prop solver time     : 0.000
% 0.21/0.32  % Current number of processed clauses  : 27
% 0.21/0.32  %    Positive orientable unit clauses  : 10
% 0.21/0.32  %    Positive unorientable unit clauses: 0
% 0.21/0.32  %    Negative unit clauses             : 1
% 0.21/0.32  %    Non-unit-clauses                  : 16
% 0.21/0.32  % Current number of unprocessed clauses: 5
% 0.21/0.32  % ...number of literals in the above   : 14
% 0.21/0.32  % Current number of archived formulas  : 0
% 0.21/0.32  % Current number of archived clauses   : 61
% 0.21/0.32  % Clause-clause subsumption calls (NU) : 488
% 0.21/0.32  % Rec. Clause-clause subsumption calls : 415
% 0.21/0.32  % Non-unit clause-clause subsumptions  : 32
% 0.21/0.32  % Unit Clause-clause subsumption calls : 45
% 0.21/0.32  % Rewrite failures with RHS unbound    : 0
% 0.21/0.32  % BW rewrite match attempts            : 14
% 0.21/0.32  % BW rewrite match successes           : 7
% 0.21/0.32  % Condensation attempts                : 0
% 0.21/0.32  % Condensation successes               : 0
% 0.21/0.32  % Termbank termtop insertions          : 4369
% 0.21/0.32  % Search garbage collected termcells   : 518
% 0.21/0.32  
% 0.21/0.32  % -------------------------------------------------
% 0.21/0.32  % User time                : 0.015 s
% 0.21/0.32  % System time              : 0.003 s
% 0.21/0.32  % Total time               : 0.018 s
% 0.21/0.32  % Maximum resident set size: 3648 pages
% 0.21/0.32  
% 0.21/0.32  % -------------------------------------------------
% 0.21/0.32  % User time                : 0.017 s
% 0.21/0.32  % System time              : 0.007 s
% 0.21/0.32  % Total time               : 0.024 s
% 0.21/0.32  % Maximum resident set size: 4864 pages
% 0.21/0.32  % E exiting
%------------------------------------------------------------------------------