TSTP Solution File: SEV107^5 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SEV107^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 : Mon Jun 24 15:53:33 EDT 2024

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   42 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  273 (   0 equ;   0 cnn)
%            Maximal formula atoms :  107 (   6 avg)
%            Number of connectives :  936 ( 134   ~; 169   |;  50   &; 571   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   47 (   9 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :  126 (   0   ^ 120   !;   6   ?; 126   :)

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

thf(decl_22,type,
    z: a ).

thf(decl_23,type,
    cR: a > a > $o ).

thf(decl_24,type,
    f: a > $i > $o ).

thf(decl_25,type,
    cS: $i > $i > $o ).

thf(decl_26,type,
    esk1_1: a > $i ).

thf(decl_27,type,
    esk2_0: a ).

thf(decl_28,type,
    esk3_1: $i > a ).

thf(decl_29,type,
    esk4_0: $i ).

thf(decl_30,type,
    esk5_0: a ).

thf(decl_31,type,
    esk6_0: a ).

thf(decl_32,type,
    esk7_0: $i ).

thf(decl_33,type,
    esk8_1: a > a ).

thf(cTHM552B_pme,conjecture,
    ( ( ! [X1: a,X2: a,X3: a] :
          ( ( ( cR @ X1 @ X2 )
            & ( cR @ X3 @ X2 ) )
         => ( cR @ X1 @ X3 ) )
      & ! [X4: a] : ( cR @ X4 @ X4 ) )
   => ( ( ! [X4: a] :
          ? [X5: $i] : ( f @ X4 @ X5 )
        & ! [X4: a,X6: $i,X7: $i] :
            ( ( ( f @ X4 @ X6 )
              & ( f @ X4 @ X7 ) )
           => ( cS @ X6 @ X7 ) )
        & ! [X8: a,X9: a,X5: $i] :
            ( ( ( f @ X8 @ X5 )
              & ( f @ X9 @ X5 ) )
           => ( cR @ X8 @ X9 ) ) )
     => ( ! [X4: a] :
          ? [X5: $i] :
          ! [X3: a] :
            ( ( f @ X4 @ X5 )
            | ( ~ ( f @ X3 @ X5 )
              & ( cR @ X4 @ z ) ) )
        & ! [X5: $i,X8: a,X9: a] :
            ( ( ! [X3: a] :
                  ( ( f @ X8 @ X5 )
                  | ( ~ ( f @ X3 @ X5 )
                    & ( cR @ X8 @ z ) ) )
              & ! [X3: a] :
                  ( ( f @ X9 @ X5 )
                  | ( ~ ( f @ X3 @ X5 )
                    & ( cR @ X9 @ z ) ) ) )
           => ( cR @ X8 @ X9 ) )
        & ! [X5: $i] :
          ? [X4: a] :
          ! [X3: a] :
            ( ( f @ X4 @ X5 )
            | ( ~ ( f @ X3 @ X5 )
              & ( cR @ X4 @ z ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tSGplM5oJA/E---3.1_22595.p',cTHM552B_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ( ( ! [X1: a,X2: a,X3: a] :
            ( ( ( cR @ X1 @ X2 )
              & ( cR @ X3 @ X2 ) )
           => ( cR @ X1 @ X3 ) )
        & ! [X4: a] : ( cR @ X4 @ X4 ) )
     => ( ( ! [X4: a] :
            ? [X5: $i] : ( f @ X4 @ X5 )
          & ! [X4: a,X6: $i,X7: $i] :
              ( ( ( f @ X4 @ X6 )
                & ( f @ X4 @ X7 ) )
             => ( cS @ X6 @ X7 ) )
          & ! [X8: a,X9: a,X5: $i] :
              ( ( ( f @ X8 @ X5 )
                & ( f @ X9 @ X5 ) )
             => ( cR @ X8 @ X9 ) ) )
       => ( ! [X4: a] :
            ? [X5: $i] :
            ! [X3: a] :
              ( ( f @ X4 @ X5 )
              | ( ~ ( f @ X3 @ X5 )
                & ( cR @ X4 @ z ) ) )
          & ! [X5: $i,X8: a,X9: a] :
              ( ( ! [X3: a] :
                    ( ( f @ X8 @ X5 )
                    | ( ~ ( f @ X3 @ X5 )
                      & ( cR @ X8 @ z ) ) )
                & ! [X3: a] :
                    ( ( f @ X9 @ X5 )
                    | ( ~ ( f @ X3 @ X5 )
                      & ( cR @ X9 @ z ) ) ) )
             => ( cR @ X8 @ X9 ) )
          & ! [X5: $i] :
            ? [X4: a] :
            ! [X3: a] :
              ( ( f @ X4 @ X5 )
              | ( ~ ( f @ X3 @ X5 )
                & ( cR @ X4 @ z ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM552B_pme])]) ).

thf(c_0_2,negated_conjecture,
    ! [X33: a,X34: a,X35: a,X36: a,X37: a,X39: a,X40: $i,X41: $i,X42: a,X43: a,X44: $i,X46: $i,X51: a,X52: a,X54: a] :
      ( ( ~ ( cR @ X33 @ X34 )
        | ~ ( cR @ X35 @ X34 )
        | ( cR @ X33 @ X35 ) )
      & ( cR @ X36 @ X36 )
      & ( f @ X37 @ ( esk1_1 @ X37 ) )
      & ( ~ ( f @ X39 @ X40 )
        | ~ ( f @ X39 @ X41 )
        | ( cS @ X40 @ X41 ) )
      & ( ~ ( f @ X42 @ X44 )
        | ~ ( f @ X43 @ X44 )
        | ( cR @ X42 @ X43 ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ~ ( f @ X51 @ esk4_0 )
        | ( f @ esk5_0 @ esk4_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ~ ( f @ X51 @ esk4_0 )
        | ( f @ esk5_0 @ esk4_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ( cR @ esk5_0 @ z )
        | ( f @ esk5_0 @ esk4_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ( cR @ esk5_0 @ z )
        | ( f @ esk5_0 @ esk4_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ~ ( f @ X52 @ esk4_0 )
        | ( f @ esk6_0 @ esk4_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ~ ( f @ X52 @ esk4_0 )
        | ( f @ esk6_0 @ esk4_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ( cR @ esk6_0 @ z )
        | ( f @ esk6_0 @ esk4_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ( cR @ esk6_0 @ z )
        | ( f @ esk6_0 @ esk4_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ~ ( cR @ esk5_0 @ esk6_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ~ ( cR @ esk5_0 @ esk6_0 )
        | ~ ( f @ esk2_0 @ X46 ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ~ ( f @ X51 @ esk4_0 )
        | ( f @ esk5_0 @ esk4_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ~ ( f @ X51 @ esk4_0 )
        | ( f @ esk5_0 @ esk4_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ( cR @ esk5_0 @ z )
        | ( f @ esk5_0 @ esk4_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ( cR @ esk5_0 @ z )
        | ( f @ esk5_0 @ esk4_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ~ ( f @ X52 @ esk4_0 )
        | ( f @ esk6_0 @ esk4_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ~ ( f @ X52 @ esk4_0 )
        | ( f @ esk6_0 @ esk4_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ( cR @ esk6_0 @ z )
        | ( f @ esk6_0 @ esk4_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ( cR @ esk6_0 @ z )
        | ( f @ esk6_0 @ esk4_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ~ ( f @ X54 @ esk7_0 )
        | ~ ( cR @ esk5_0 @ esk6_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) )
      & ( ( f @ ( esk8_1 @ X54 ) @ esk7_0 )
        | ~ ( cR @ X54 @ z )
        | ~ ( cR @ esk5_0 @ esk6_0 )
        | ( f @ ( esk3_1 @ X46 ) @ X46 )
        | ~ ( cR @ esk2_0 @ z ) ) ),
    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,
    ! [X1: a,X5: $i] :
      ( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
      | ( cR @ esk6_0 @ z )
      | ( f @ esk6_0 @ esk4_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( cR @ esk6_0 @ z )
      | ( f @ esk6_0 @ esk4_0 )
      | ~ ( f @ X1 @ esk7_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( f @ esk6_0 @ esk4_0 )
      | ( cR @ esk6_0 @ z )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(csr,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_6,negated_conjecture,
    ! [X1: a] : ( cR @ X1 @ X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ! [X5: $i] :
      ( ( f @ esk6_0 @ esk4_0 )
      | ( cR @ esk6_0 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

thf(c_0_8,negated_conjecture,
    ! [X1: a] : ( f @ X1 @ ( esk1_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
      | ( cR @ esk5_0 @ z )
      | ( f @ esk5_0 @ esk4_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_10,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( cR @ esk5_0 @ z )
      | ( f @ esk5_0 @ esk4_0 )
      | ~ ( f @ X1 @ esk7_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( cR @ esk5_0 @ esk6_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ~ ( f @ X1 @ esk7_0 )
      | ~ ( cR @ esk5_0 @ esk6_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: a,X3: a,X2: a] :
      ( ( cR @ X1 @ X3 )
      | ~ ( cR @ X1 @ X2 )
      | ~ ( cR @ X3 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_14,negated_conjecture,
    ( ( cR @ esk6_0 @ z )
    | ( f @ esk6_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( f @ esk5_0 @ esk4_0 )
      | ( cR @ esk5_0 @ z )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(csr,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ~ ( cR @ esk5_0 @ esk6_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(csr,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: a] :
      ( ( f @ esk6_0 @ esk4_0 )
      | ( cR @ X1 @ esk6_0 )
      | ~ ( cR @ X1 @ z ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_18,negated_conjecture,
    ! [X5: $i] :
      ( ( f @ esk5_0 @ esk4_0 )
      | ( cR @ esk5_0 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_6]) ).

thf(c_0_19,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( f @ esk6_0 @ esk4_0 )
      | ~ ( cR @ esk5_0 @ z )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_20,negated_conjecture,
    ( ( cR @ esk5_0 @ z )
    | ( f @ esk5_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_8]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: a,X2: a,X5: $i] :
      ( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
      | ( f @ esk5_0 @ esk4_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ X2 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_22,negated_conjecture,
    ! [X1: a,X2: a,X5: $i] :
      ( ( f @ esk5_0 @ esk4_0 )
      | ~ ( f @ X1 @ esk7_0 )
      | ~ ( f @ X2 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_23,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( f @ esk5_0 @ esk4_0 )
      | ( f @ esk6_0 @ esk4_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_24,negated_conjecture,
    ! [X1: a,X2: a,X5: $i] :
      ( ( f @ esk5_0 @ esk4_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ X2 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(csr,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_25,negated_conjecture,
    ! [X5: $i] :
      ( ( f @ esk6_0 @ esk4_0 )
      | ( f @ esk5_0 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_14]) ).

thf(c_0_26,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ( f @ esk5_0 @ esk4_0 )
      | ~ ( f @ X1 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_20]) ).

thf(c_0_27,negated_conjecture,
    ( ( f @ esk5_0 @ esk4_0 )
    | ( f @ esk6_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_25,c_0_8]) ).

thf(c_0_28,negated_conjecture,
    ! [X5: $i] :
      ( ( f @ esk5_0 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

thf(c_0_29,negated_conjecture,
    ! [X1: a,X2: a,X5: $i] :
      ( ( cR @ X1 @ X2 )
      | ~ ( f @ X1 @ X5 )
      | ~ ( f @ X2 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_30,negated_conjecture,
    f @ esk5_0 @ esk4_0,
    inference(spm,[status(thm)],[c_0_28,c_0_8]) ).

thf(c_0_31,negated_conjecture,
    ! [X1: a] :
      ( ( cR @ X1 @ esk5_0 )
      | ~ ( f @ X1 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

thf(c_0_32,negated_conjecture,
    ! [X1: a,X2: a] :
      ( ( cR @ X1 @ X2 )
      | ~ ( cR @ X1 @ esk5_0 )
      | ~ ( f @ X2 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_31]) ).

thf(c_0_33,negated_conjecture,
    ! [X1: a] :
      ( ( cR @ esk5_0 @ X1 )
      | ~ ( f @ X1 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_6]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: a,X2: a,X5: $i] :
      ( ( f @ ( esk8_1 @ X1 ) @ esk7_0 )
      | ( f @ esk6_0 @ esk4_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ X2 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_35,negated_conjecture,
    ! [X1: a,X2: a,X5: $i] :
      ( ( f @ esk6_0 @ esk4_0 )
      | ~ ( f @ X1 @ esk7_0 )
      | ~ ( f @ X2 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_36,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ~ ( f @ esk6_0 @ esk4_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_33]) ).

thf(c_0_37,negated_conjecture,
    ! [X1: a,X2: a,X5: $i] :
      ( ( f @ esk6_0 @ esk4_0 )
      | ~ ( cR @ X1 @ z )
      | ~ ( f @ X2 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(csr,[status(thm)],[c_0_34,c_0_35]) ).

thf(c_0_38,negated_conjecture,
    ! [X5: $i] :
      ( ~ ( f @ esk6_0 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_6]) ).

thf(c_0_39,negated_conjecture,
    ! [X1: a,X5: $i] :
      ( ~ ( f @ X1 @ esk4_0 )
      | ~ ( f @ esk2_0 @ X5 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_14]),c_0_38]) ).

thf(c_0_40,negated_conjecture,
    ! [X5: $i] :
      ~ ( f @ esk2_0 @ X5 ),
    inference(spm,[status(thm)],[c_0_39,c_0_30]) ).

thf(c_0_41,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_40,c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SEV107^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri Jun 21 18:28:38 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.17/0.44  Running higher-order theorem proving
% 0.17/0.44  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.tSGplM5oJA/E---3.1_22595.p
% 0.17/0.45  # Version: 3.2.0-ho
% 0.17/0.45  # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting full_lambda_5 with 300s (1) cores
% 0.17/0.45  # Starting new_ho_10_unif with 300s (1) cores
% 0.17/0.45  # new_ho_10_unif with pid 22678 completed with status 0
% 0.17/0.45  # Result found by new_ho_10_unif
% 0.17/0.45  # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting full_lambda_5 with 300s (1) cores
% 0.17/0.45  # Starting new_ho_10_unif with 300s (1) cores
% 0.17/0.45  # No SInE strategy applied
% 0.17/0.45  # Search class: HGHNS-FFMF11-SFFFFFNN
% 0.17/0.45  # partial match(1): FGHNS-FFMF11-SFFFFFNN
% 0.17/0.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 94s (1) cores
% 0.17/0.45  # SAT001_MinMin_p005000_rr_RG with pid 22684 completed with status 0
% 0.17/0.45  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.45  # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting full_lambda_5 with 300s (1) cores
% 0.17/0.45  # Starting new_ho_10_unif with 300s (1) cores
% 0.17/0.45  # No SInE strategy applied
% 0.17/0.45  # Search class: HGHNS-FFMF11-SFFFFFNN
% 0.17/0.45  # partial match(1): FGHNS-FFMF11-SFFFFFNN
% 0.17/0.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 94s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.001 s
% 0.17/0.45  # Presaturation interreduction done
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Theorem
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 6
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.45  # Initial clauses                      : 30
% 0.17/0.45  # Removed in clause preprocessing      : 5
% 0.17/0.45  # Initial clauses in saturation        : 25
% 0.17/0.45  # Processed clauses                    : 81
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 4
% 0.17/0.45  # ...remaining for further processing  : 77
% 0.17/0.45  # Other redundant clauses eliminated   : 0
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 26
% 0.17/0.45  # Backward-rewritten                   : 9
% 0.17/0.45  # Generated clauses                    : 73
% 0.17/0.45  # ...of the previous two non-redundant : 68
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 11
% 0.17/0.45  # Paramodulations                      : 73
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 0
% 0.17/0.45  # Disequality decompositions           : 0
% 0.17/0.45  # Total rewrite steps                  : 10
% 0.17/0.45  # ...of those cached                   : 9
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 17
% 0.17/0.45  #    Positive orientable unit clauses  : 3
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 1
% 0.17/0.45  #    Non-unit-clauses                  : 13
% 0.17/0.45  # Current number of unprocessed clauses: 31
% 0.17/0.45  # ...number of literals in the above   : 123
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 60
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 398
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 204
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 35
% 0.17/0.45  # Unit Clause-clause subsumption calls : 8
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 3
% 0.17/0.45  # BW rewrite match successes           : 1
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 4068
% 0.17/0.45  # Search garbage collected termcells   : 605
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.006 s
% 0.17/0.45  # System time              : 0.002 s
% 0.17/0.45  # Total time               : 0.008 s
% 0.17/0.45  # Maximum resident set size: 1888 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.008 s
% 0.17/0.45  # System time              : 0.002 s
% 0.17/0.45  # Total time               : 0.010 s
% 0.17/0.45  # Maximum resident set size: 1724 pages
% 0.17/0.45  % E---3.1 exiting
% 0.17/0.45  % E exiting
%------------------------------------------------------------------------------