TSTP Solution File: SEU463^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU463^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : Tue May 21 03:27:30 EDT 2024

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   72 (  28 unt;  19 typ;   0 def)
%            Number of atoms       :  251 (   7 equ;   0 cnn)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives : 1773 (  73   ~; 122   |;  40   &;1507   @)
%                                         (   1 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  299 ( 299   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   4 con; 0-6 aty)
%            Number of variables   :  217 (  15   ^ 202   !;   0   ?; 217   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(decl_34,type,
    trans: ( $i > $i > $o ) > $o ).

thf(decl_35,type,
    tc: ( $i > $i > $o ) > $i > $i > $o ).

thf(decl_51,type,
    epred1_5: $i > $i > $i > ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(decl_52,type,
    epred2_0: $i > $i > $o ).

thf(decl_53,type,
    esk1_0: $i ).

thf(decl_54,type,
    esk2_0: $i ).

thf(decl_55,type,
    esk3_0: $i ).

thf(decl_56,type,
    epred3_0: $i > $i > $o ).

thf(decl_57,type,
    esk4_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_58,type,
    esk5_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_59,type,
    esk6_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_60,type,
    esk7_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_61,type,
    esk8_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_62,type,
    esk9_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_63,type,
    esk10_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_64,type,
    esk11_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_65,type,
    esk12_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(decl_66,type,
    esk13_6: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i > $i > ( $i > $i > $o ) > $i ).

thf(transitive_closure,axiom,
    ( tc
    = ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
        ! [X2: $i > $i > $o] :
          ( ( ( trans @ X2 )
            & ( subrel @ X1 @ X2 ) )
         => ( X2 @ X3 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',transitive_closure) ).

thf(transitive,axiom,
    ( trans
    = ( ^ [X1: $i > $i > $o] :
        ! [X3: $i,X4: $i,X6: $i] :
          ( ( ( X1 @ X3 @ X4 )
            & ( X1 @ X4 @ X6 ) )
         => ( X1 @ X3 @ X6 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',transitive) ).

thf(subrel,axiom,
    ( subrel
    = ( ^ [X1: $i > $i > $o,X2: $i > $i > $o] :
        ! [X3: $i,X4: $i] :
          ( ( X1 @ X3 @ X4 )
         => ( X2 @ X3 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',subrel) ).

thf(transitive_closure_is_transitive3,conjecture,
    ! [X1: $i > $i > $o,X3: $i,X4: $i,X6: $i,X2: $i > $i > $o] :
      ( ( ( trans @ X2 )
        & ( subrel @ X1 @ X2 )
        & ( tc @ X1 @ X3 @ X4 )
        & ( tc @ X1 @ X4 @ X6 ) )
     => ( X2 @ X3 @ X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_closure_is_transitive3) ).

thf(c_0_4,plain,
    ( tc
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
        ! [X2: $i > $i > $o] :
          ( ( ! [X14: $i,X15: $i,X16: $i] :
                ( ( ( X2 @ X14 @ X15 )
                  & ( X2 @ X15 @ X16 ) )
               => ( X2 @ X14 @ X16 ) )
            & ! [X17: $i,X18: $i] :
                ( ( Z0 @ X17 @ X18 )
               => ( X2 @ X17 @ X18 ) ) )
         => ( X2 @ Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[transitive_closure]) ).

thf(c_0_5,plain,
    ( trans
    = ( ^ [Z0: $i > $i > $o] :
        ! [X3: $i,X4: $i,X6: $i] :
          ( ( ( Z0 @ X3 @ X4 )
            & ( Z0 @ X4 @ X6 ) )
         => ( Z0 @ X3 @ X6 ) ) ) ),
    inference(fof_simplification,[status(thm)],[transitive]) ).

thf(c_0_6,plain,
    ( subrel
    = ( ^ [Z0: $i > $i > $o,Z1: $i > $i > $o] :
        ! [X3: $i,X4: $i] :
          ( ( Z0 @ X3 @ X4 )
         => ( Z1 @ X3 @ X4 ) ) ) ),
    inference(fof_simplification,[status(thm)],[subrel]) ).

thf(c_0_7,plain,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i,X4: $i,X6: $i] :
      ( ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 )
    <=> ( ! [X19: $i,X20: $i,X21: $i] :
            ( ( ( X2 @ X19 @ X20 )
              & ( X2 @ X20 @ X21 ) )
           => ( X2 @ X19 @ X21 ) )
        & ! [X22: $i,X23: $i] :
            ( ( X1 @ X22 @ X23 )
           => ( X2 @ X22 @ X23 ) )
        & ! [X24: $i > $i > $o] :
            ( ( ! [X25: $i,X26: $i,X27: $i] :
                  ( ( ( X24 @ X25 @ X26 )
                    & ( X24 @ X26 @ X27 ) )
                 => ( X24 @ X25 @ X27 ) )
              & ! [X28: $i,X29: $i] :
                  ( ( X1 @ X28 @ X29 )
                 => ( X24 @ X28 @ X29 ) ) )
           => ( X24 @ X3 @ X4 ) )
        & ! [X30: $i > $i > $o] :
            ( ( ! [X31: $i,X32: $i,X33: $i] :
                  ( ( ( X30 @ X31 @ X32 )
                    & ( X30 @ X32 @ X33 ) )
                 => ( X30 @ X31 @ X33 ) )
              & ! [X34: $i,X35: $i] :
                  ( ( X1 @ X34 @ X35 )
                 => ( X30 @ X34 @ X35 ) ) )
           => ( X30 @ X4 @ X6 ) ) ) ),
    introduced(definition) ).

thf(c_0_8,plain,
    ( tc
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
        ! [X2: $i > $i > $o] :
          ( ( ! [X14: $i,X15: $i,X16: $i] :
                ( ( ( X2 @ X14 @ X15 )
                  & ( X2 @ X15 @ X16 ) )
               => ( X2 @ X14 @ X16 ) )
            & ! [X17: $i,X18: $i] :
                ( ( Z0 @ X17 @ X18 )
               => ( X2 @ X17 @ X18 ) ) )
         => ( X2 @ Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).

thf(c_0_9,plain,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i,X4: $i,X6: $i] :
      ( ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 )
     => ( ! [X19: $i,X20: $i,X21: $i] :
            ( ( ( X2 @ X19 @ X20 )
              & ( X2 @ X20 @ X21 ) )
           => ( X2 @ X19 @ X21 ) )
        & ! [X22: $i,X23: $i] :
            ( ( X1 @ X22 @ X23 )
           => ( X2 @ X22 @ X23 ) )
        & ! [X24: $i > $i > $o] :
            ( ( ! [X25: $i,X26: $i,X27: $i] :
                  ( ( ( X24 @ X25 @ X26 )
                    & ( X24 @ X26 @ X27 ) )
                 => ( X24 @ X25 @ X27 ) )
              & ! [X28: $i,X29: $i] :
                  ( ( X1 @ X28 @ X29 )
                 => ( X24 @ X28 @ X29 ) ) )
           => ( X24 @ X3 @ X4 ) )
        & ! [X30: $i > $i > $o] :
            ( ( ! [X31: $i,X32: $i,X33: $i] :
                  ( ( ( X30 @ X31 @ X32 )
                    & ( X30 @ X32 @ X33 ) )
                 => ( X30 @ X31 @ X33 ) )
              & ! [X34: $i,X35: $i] :
                  ( ( X1 @ X34 @ X35 )
                 => ( X30 @ X34 @ X35 ) ) )
           => ( X30 @ X4 @ X6 ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_7]) ).

thf(c_0_10,negated_conjecture,
    ~ ! [X1: $i > $i > $o,X3: $i,X4: $i,X6: $i,X2: $i > $i > $o] :
        ( ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 )
       => ( X2 @ X3 @ X6 ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[transitive_closure_is_transitive3]),c_0_8]),c_0_5]),c_0_6]),c_0_7]) ).

thf(c_0_11,plain,
    ! [X41: $i > $i > $o,X42: $i > $i > $o,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i > $i > $o,X57: $i > $i > $o] :
      ( ( ~ ( X42 @ X46 @ X47 )
        | ~ ( X42 @ X47 @ X48 )
        | ( X42 @ X46 @ X48 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ~ ( X41 @ X49 @ X50 )
        | ( X42 @ X49 @ X50 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ( X41 @ ( esk7_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk8_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ ( esk4_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk5_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ X43 @ X44 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ~ ( X51 @ ( esk7_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk8_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ ( esk4_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk5_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ X43 @ X44 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ( X41 @ ( esk7_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk8_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ ( esk5_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk6_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ X43 @ X44 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ~ ( X51 @ ( esk7_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk8_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ ( esk5_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk6_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ X43 @ X44 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ( X41 @ ( esk7_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk8_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ~ ( X51 @ ( esk4_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk6_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ X43 @ X44 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ~ ( X51 @ ( esk7_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk8_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ~ ( X51 @ ( esk4_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) @ ( esk6_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X51 ) )
        | ( X51 @ X43 @ X44 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ( X41 @ ( esk12_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk13_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ ( esk9_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk10_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ X44 @ X45 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ~ ( X57 @ ( esk12_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk13_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ ( esk9_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk10_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ X44 @ X45 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ( X41 @ ( esk12_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk13_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ ( esk10_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk11_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ X44 @ X45 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ~ ( X57 @ ( esk12_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk13_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ ( esk10_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk11_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ X44 @ X45 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ( X41 @ ( esk12_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk13_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ~ ( X57 @ ( esk9_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk11_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ X44 @ X45 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) )
      & ( ~ ( X57 @ ( esk12_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk13_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ~ ( X57 @ ( esk9_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) @ ( esk11_6 @ X41 @ X42 @ X43 @ X44 @ X45 @ X57 ) )
        | ( X57 @ X44 @ X45 )
        | ~ ( epred1_5 @ X45 @ X44 @ X43 @ X41 @ X42 ) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

thf(c_0_12,negated_conjecture,
    ( ( epred1_5 @ esk3_0 @ esk2_0 @ esk1_0 @ epred2_0 @ epred3_0 )
    & ~ ( epred3_0 @ esk1_0 @ esk3_0 ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

thf(c_0_13,plain,
    ! [X4: $i,X3: $i,X10: $i,X6: $i,X12: $i,X11: $i,X2: $i > $i > $o,X1: $i > $i > $o] :
      ( ( X1 @ X3 @ X6 )
      | ~ ( X1 @ X3 @ X4 )
      | ~ ( X1 @ X4 @ X6 )
      | ~ ( epred1_5 @ X10 @ X11 @ X12 @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_14,negated_conjecture,
    epred1_5 @ esk3_0 @ esk2_0 @ esk1_0 @ epred2_0 @ epred3_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_15,plain,
    ! [X1: $i > $i > $o,X9: $i > $i > $o,X6: $i,X4: $i,X3: $i,X2: $i > $i > $o] :
      ( ( X1 @ ( esk12_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk13_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ ( esk10_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk11_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ X4 @ X6 )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_16,negated_conjecture,
    ! [X3: $i,X4: $i,X6: $i] :
      ( ( epred3_0 @ X3 @ X4 )
      | ~ ( epred3_0 @ X6 @ X4 )
      | ~ ( epred3_0 @ X3 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i > $i > $o] :
      ( ( epred2_0 @ ( esk12_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) @ ( esk13_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) )
      | ( X1 @ ( esk10_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) @ ( esk11_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) )
      | ( X1 @ esk2_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_14]) ).

thf(c_0_18,plain,
    ! [X1: $i > $i > $o,X9: $i > $i > $o,X6: $i,X4: $i,X3: $i,X2: $i > $i > $o] :
      ( ( X1 @ ( esk12_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk13_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ ( esk9_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk10_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ X4 @ X6 )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_19,plain,
    ! [X1: $i > $i > $o,X9: $i > $i > $o,X6: $i,X4: $i,X3: $i,X2: $i > $i > $o] :
      ( ( X1 @ ( esk7_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk8_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ ( esk5_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk6_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ X3 @ X4 )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_20,negated_conjecture,
    ! [X3: $i] :
      ( ( epred2_0 @ ( esk12_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk13_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
      | ( epred3_0 @ X3 @ ( esk11_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
      | ( epred3_0 @ esk2_0 @ esk3_0 )
      | ~ ( epred3_0 @ X3 @ ( esk10_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: $i > $i > $o] :
      ( ( epred2_0 @ ( esk12_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) @ ( esk13_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) )
      | ( X1 @ ( esk9_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) @ ( esk10_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) )
      | ( X1 @ esk2_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_14]) ).

thf(c_0_22,negated_conjecture,
    ! [X1: $i > $i > $o] :
      ( ( epred2_0 @ ( esk7_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) @ ( esk8_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) )
      | ( X1 @ ( esk5_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) @ ( esk6_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) )
      | ( X1 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_14]) ).

thf(c_0_23,plain,
    ! [X1: $i > $i > $o,X9: $i > $i > $o,X6: $i,X4: $i,X3: $i,X2: $i > $i > $o] :
      ( ( X1 @ ( esk7_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk8_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ ( esk4_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk5_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ X3 @ X4 )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_24,plain,
    ! [X1: $i > $i > $o,X3: $i,X6: $i,X11: $i,X10: $i,X4: $i,X2: $i > $i > $o] :
      ( ( X2 @ X3 @ X4 )
      | ~ ( X1 @ X3 @ X4 )
      | ~ ( epred1_5 @ X6 @ X10 @ X11 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_25,plain,
    ! [X1: $i > $i > $o,X9: $i > $i > $o,X6: $i,X4: $i,X3: $i,X2: $i > $i > $o] :
      ( ( X1 @ ( esk12_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk13_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ X4 @ X6 )
      | ~ ( X9 @ ( esk9_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk11_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_26,negated_conjecture,
    ( ( epred3_0 @ ( esk9_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk11_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
    | ( epred2_0 @ ( esk12_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk13_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
    | ( epred3_0 @ esk2_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

thf(c_0_27,negated_conjecture,
    ! [X3: $i] :
      ( ( epred2_0 @ ( esk7_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk8_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
      | ( epred3_0 @ X3 @ ( esk6_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
      | ( epred3_0 @ esk1_0 @ esk2_0 )
      | ~ ( epred3_0 @ X3 @ ( esk5_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_22]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: $i > $i > $o] :
      ( ( epred2_0 @ ( esk7_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) @ ( esk8_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) )
      | ( X1 @ ( esk4_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) @ ( esk5_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ X1 ) )
      | ( X1 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_14]) ).

thf(c_0_29,plain,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X4: $i,X6: $i,X3: $i,X9: $i > $i > $o] :
      ( ( X1 @ ( esk10_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk11_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ( X1 @ X4 @ X6 )
      | ~ ( X1 @ ( esk12_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk13_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X2 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_30,negated_conjecture,
    ! [X3: $i,X4: $i] :
      ( ( epred3_0 @ X3 @ X4 )
      | ~ ( epred2_0 @ X3 @ X4 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_14]) ).

thf(c_0_31,plain,
    ( ( epred2_0 @ ( esk12_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk13_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
    | ( epred3_0 @ esk2_0 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_14])]) ).

thf(c_0_32,plain,
    ! [X1: $i > $i > $o,X9: $i > $i > $o,X6: $i,X4: $i,X3: $i,X2: $i > $i > $o] :
      ( ( X1 @ ( esk7_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk8_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ( X9 @ X3 @ X4 )
      | ~ ( X9 @ ( esk4_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) @ ( esk6_6 @ X1 @ X2 @ X3 @ X4 @ X6 @ X9 ) )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_33,negated_conjecture,
    ( ( epred3_0 @ ( esk4_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk6_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
    | ( epred2_0 @ ( esk7_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk8_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
    | ( epred3_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: $i > $i > $o,X10: $i,X6: $i,X4: $i,X3: $i,X2: $i > $i > $o] :
      ( ( epred3_0 @ X3 @ ( esk11_6 @ X1 @ X2 @ X4 @ X6 @ X10 @ epred3_0 ) )
      | ( epred3_0 @ X6 @ X10 )
      | ~ ( epred3_0 @ ( esk12_6 @ X1 @ X2 @ X4 @ X6 @ X10 @ epred3_0 ) @ ( esk13_6 @ X1 @ X2 @ X4 @ X6 @ X10 @ epred3_0 ) )
      | ~ ( epred3_0 @ X3 @ ( esk10_6 @ X1 @ X2 @ X4 @ X6 @ X10 @ epred3_0 ) )
      | ~ ( epred1_5 @ X10 @ X6 @ X4 @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_29]) ).

thf(c_0_35,negated_conjecture,
    ( ( epred3_0 @ ( esk12_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk13_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
    | ( epred3_0 @ esk2_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_36,plain,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X4: $i,X6: $i,X3: $i,X9: $i > $i > $o] :
      ( ( X1 @ ( esk5_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk6_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ( X1 @ X3 @ X4 )
      | ~ ( X1 @ ( esk7_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk8_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X2 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_37,plain,
    ( ( epred2_0 @ ( esk7_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk8_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
    | ( epred3_0 @ esk1_0 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_14])]) ).

thf(c_0_38,plain,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X4: $i,X6: $i,X3: $i,X9: $i > $i > $o] :
      ( ( X1 @ X4 @ X6 )
      | ~ ( X1 @ ( esk12_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk13_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ~ ( X1 @ ( esk9_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk11_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X2 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_39,negated_conjecture,
    ! [X3: $i] :
      ( ( epred3_0 @ X3 @ ( esk11_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
      | ( epred3_0 @ esk2_0 @ esk3_0 )
      | ~ ( epred3_0 @ X3 @ ( esk10_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_14])]) ).

thf(c_0_40,negated_conjecture,
    ! [X1: $i > $i > $o,X10: $i,X6: $i,X4: $i,X3: $i,X2: $i > $i > $o] :
      ( ( epred3_0 @ X3 @ ( esk6_6 @ X1 @ X2 @ X4 @ X6 @ X10 @ epred3_0 ) )
      | ( epred3_0 @ X4 @ X6 )
      | ~ ( epred3_0 @ ( esk7_6 @ X1 @ X2 @ X4 @ X6 @ X10 @ epred3_0 ) @ ( esk8_6 @ X1 @ X2 @ X4 @ X6 @ X10 @ epred3_0 ) )
      | ~ ( epred3_0 @ X3 @ ( esk5_6 @ X1 @ X2 @ X4 @ X6 @ X10 @ epred3_0 ) )
      | ~ ( epred1_5 @ X10 @ X6 @ X4 @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_36]) ).

thf(c_0_41,negated_conjecture,
    ( ( epred3_0 @ ( esk7_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk8_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
    | ( epred3_0 @ esk1_0 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_37]) ).

thf(c_0_42,plain,
    ( ( epred3_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred3_0 @ ( esk9_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk10_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_14])]),c_0_35]) ).

thf(c_0_43,plain,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X4: $i,X6: $i,X3: $i,X9: $i > $i > $o] :
      ( ( X1 @ ( esk9_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk10_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ( X1 @ X4 @ X6 )
      | ~ ( X1 @ ( esk12_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk13_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X2 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_44,plain,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X4: $i,X6: $i,X3: $i,X9: $i > $i > $o] :
      ( ( X1 @ X3 @ X4 )
      | ~ ( X1 @ ( esk7_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk8_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ~ ( X1 @ ( esk4_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk6_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X2 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_45,negated_conjecture,
    ! [X3: $i] :
      ( ( epred3_0 @ X3 @ ( esk6_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) )
      | ( epred3_0 @ esk1_0 @ esk2_0 )
      | ~ ( epred3_0 @ X3 @ ( esk5_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_14])]) ).

thf(c_0_46,plain,
    epred3_0 @ esk2_0 @ esk3_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_14])]),c_0_35]) ).

thf(c_0_47,plain,
    ( ( epred3_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred3_0 @ ( esk4_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) @ ( esk5_6 @ epred2_0 @ epred3_0 @ esk1_0 @ esk2_0 @ esk3_0 @ epred3_0 ) ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_14])]),c_0_41]) ).

thf(c_0_48,plain,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X4: $i,X6: $i,X3: $i,X9: $i > $i > $o] :
      ( ( X1 @ ( esk4_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk5_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ( X1 @ X3 @ X4 )
      | ~ ( X1 @ ( esk7_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) @ ( esk8_6 @ X2 @ X9 @ X3 @ X4 @ X6 @ X1 ) )
      | ~ ( epred1_5 @ X6 @ X4 @ X3 @ X2 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_49,negated_conjecture,
    ! [X3: $i] :
      ( ( epred3_0 @ X3 @ esk3_0 )
      | ~ ( epred3_0 @ X3 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_46]) ).

thf(c_0_50,plain,
    epred3_0 @ esk1_0 @ esk2_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_14])]),c_0_41]) ).

thf(c_0_51,negated_conjecture,
    ~ ( epred3_0 @ esk1_0 @ esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_52,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SEU463^1 : TPTP v8.2.0. Released v3.6.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 18:11:37 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  Running higher-order theorem proving
% 0.19/0.46  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/benchmark/theBenchmark.p
% 0.19/0.49  # Version: 3.1.0-ho
% 0.19/0.49  # Preprocessing class: HSMSSMSSMLSNHSA.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_2 with 300s (1) cores
% 0.19/0.49  # new_bool_2 with pid 10289 completed with status 0
% 0.19/0.49  # Result found by new_bool_2
% 0.19/0.49  # Preprocessing class: HSMSSMSSMLSNHSA.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_2 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: HGUNF-FFMF33-SHSSMMBN
% 0.19/0.49  # partial match(2): HGUNS-FFMF32-SHSSMMBN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting new_ho_10 with 135s (1) cores
% 0.19/0.49  # new_ho_10 with pid 10290 completed with status 0
% 0.19/0.49  # Result found by new_ho_10
% 0.19/0.49  # Preprocessing class: HSMSSMSSMLSNHSA.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_2 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: HGUNF-FFMF33-SHSSMMBN
% 0.19/0.49  # partial match(2): HGUNS-FFMF32-SHSSMMBN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting new_ho_10 with 135s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.002 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Theorem
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 59
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 55
% 0.19/0.49  # Initial clauses                      : 16
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 16
% 0.19/0.49  # Processed clauses                    : 96
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 7
% 0.19/0.49  # ...remaining for further processing  : 89
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 6
% 0.19/0.49  # Backward-rewritten                   : 18
% 0.19/0.49  # Generated clauses                    : 83
% 0.19/0.49  # ...of the previous two non-redundant : 80
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 4
% 0.19/0.49  # Paramodulations                      : 83
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 42
% 0.19/0.49  # ...of those cached                   : 39
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 49
% 0.19/0.49  #    Positive orientable unit clauses  : 3
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 1
% 0.19/0.49  #    Non-unit-clauses                  : 45
% 0.19/0.49  # Current number of unprocessed clauses: 9
% 0.19/0.49  # ...number of literals in the above   : 30
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 40
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 1070
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 656
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 17
% 0.19/0.49  # Unit Clause-clause subsumption calls : 98
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 2
% 0.19/0.49  # BW rewrite match successes           : 2
% 0.19/0.49  # Condensation attempts                : 96
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 6771
% 0.19/0.49  # Search garbage collected termcells   : 679
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.016 s
% 0.19/0.49  # System time              : 0.004 s
% 0.19/0.49  # Total time               : 0.020 s
% 0.19/0.49  # Maximum resident set size: 1916 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.017 s
% 0.19/0.49  # System time              : 0.006 s
% 0.19/0.49  # Total time               : 0.023 s
% 0.19/0.49  # Maximum resident set size: 1788 pages
% 0.19/0.49  % E---3.1 exiting
% 0.19/0.49  % E exiting
%------------------------------------------------------------------------------