TSTP Solution File: SET925^7 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SET925^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 : Sat May  4 09:21:12 EDT 2024

% Result   : Theorem 0.15s 0.51s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   39 (  11 unt;  18 typ;   0 def)
%            Number of atoms       :  186 (   6 equ;   0 cnn)
%            Maximal formula atoms :   18 (   8 avg)
%            Number of connectives :  595 (  70   ~;  67   |;   4   &; 448   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (  12 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   40 (  40   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :  141 (  62   ^  79   !;   0   ?; 141   :)

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

thf(decl_22,type,
    qmltpeq: mu > mu > $i > $o ).

thf(decl_30,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_31,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_36,type,
    exists_in_world: mu > $i > $o ).

thf(decl_37,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

thf(decl_50,type,
    mvalid: ( $i > $o ) > $o ).

thf(decl_54,type,
    rel_s4: $i > $i > $o ).

thf(decl_55,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

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

thf(decl_59,type,
    empty_set: mu ).

thf(decl_60,type,
    singleton: mu > mu ).

thf(decl_61,type,
    set_difference: mu > mu > mu ).

thf(decl_62,type,
    esk1_0: $i ).

thf(decl_63,type,
    esk2_0: $i ).

thf(decl_64,type,
    esk3_0: mu ).

thf(decl_65,type,
    esk4_0: $i ).

thf(decl_66,type,
    esk5_0: mu ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X4: $i > $o] :
        ! [X3: $i] : ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.piH2div6vJ/E---3.1_11675.p',mvalid) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [X4: $i > $o,X3: $i] :
        ! [X7: $i] :
          ( ~ ( rel_s4 @ X3 @ X7 )
          | ( X4 @ X7 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.piH2div6vJ/E---3.1_11675.p',mbox_s4) ).

thf(mforall_ind,axiom,
    ( mforall_ind
    = ( ^ [X11: mu > $i > $o,X3: $i] :
        ! [X12: mu] :
          ( ( exists_in_world @ X12 @ X3 )
         => ( X11 @ X12 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.piH2div6vJ/E---3.1_11675.p',mforall_ind) ).

thf(l36_zfmisc_1,axiom,
    ( mvalid
    @ ( mbox_s4
      @ ( mforall_ind
        @ ^ [X28: mu] :
            ( mbox_s4
            @ ( mforall_ind
              @ ^ [X29: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.piH2div6vJ/E---3.1_11675.p',l36_zfmisc_1) ).

thf(t68_zfmisc_1,conjecture,
    ( mvalid
    @ ( mbox_s4
      @ ( mforall_ind
        @ ^ [X28: mu] :
            ( mbox_s4
            @ ( mforall_ind
              @ ^ [X29: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.piH2div6vJ/E---3.1_11675.p',t68_zfmisc_1) ).

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

thf(c_0_6,plain,
    ( mbox_s4
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ! [X7: $i] :
          ( ~ ( rel_s4 @ Z1 @ X7 )
          | ( Z0 @ X7 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_s4]) ).

thf(c_0_7,plain,
    ( mforall_ind
    = ( ^ [Z0: mu > $i > $o,Z1: $i] :
        ! [X12: mu] :
          ( ( exists_in_world @ X12 @ Z1 )
         => ( Z0 @ X12 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_ind]) ).

thf(c_0_8,plain,
    ! [X89: $i,X88: $i] :
      ( ~ ( rel_s4 @ X89 @ X88 )
      | ! [X87: mu] :
          ( ( exists_in_world @ X87 @ X88 )
         => ! [X86: $i] :
              ( ~ ( rel_s4 @ X88 @ X86 )
              | ! [X85: mu] :
                  ( ( exists_in_world @ X85 @ X86 )
                 => ( mand
                    @ ^ [Z0: $i] :
                      ! [X81: $i] :
                        ( ~ ( rel_s4 @ Z0 @ X81 )
                        | ( mimplies
                          @ ^ [Z1: $i] :
                            ! [X79: $i] :
                              ( ~ ( rel_s4 @ Z1 @ X79 )
                              | ( qmltpeq @ ( set_difference @ ( singleton @ X87 ) @ X85 ) @ empty_set @ X79 ) )
                          @ ^ [Z1: $i] :
                            ! [X80: $i] :
                              ( ~ ( rel_s4 @ Z1 @ X80 )
                              | ( in @ X87 @ X85 @ X80 ) )
                          @ X81 ) )
                    @ ^ [Z0: $i] :
                      ! [X84: $i] :
                        ( ~ ( rel_s4 @ Z0 @ X84 )
                        | ( mimplies
                          @ ^ [Z1: $i] :
                            ! [X82: $i] :
                              ( ~ ( rel_s4 @ Z1 @ X82 )
                              | ( in @ X87 @ X85 @ X82 ) )
                          @ ^ [Z1: $i] :
                            ! [X83: $i] :
                              ( ~ ( rel_s4 @ Z1 @ X83 )
                              | ( qmltpeq @ ( set_difference @ ( singleton @ X87 ) @ X85 ) @ empty_set @ X83 ) )
                          @ X84 ) )
                    @ X86 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[l36_zfmisc_1]),c_0_5]),c_0_6]),c_0_7])]) ).

thf(c_0_9,negated_conjecture,
    ~ ! [X53: $i,X52: $i] :
        ( ~ ( rel_s4 @ X53 @ X52 )
        | ! [X51: mu] :
            ( ( exists_in_world @ X51 @ X52 )
           => ! [X50: $i] :
                ( ~ ( rel_s4 @ X52 @ X50 )
                | ! [X49: mu] :
                    ( ( exists_in_world @ X49 @ X50 )
                   => ( mand
                      @ ^ [Z0: $i] :
                        ! [X45: $i] :
                          ( ~ ( rel_s4 @ Z0 @ X45 )
                          | ( mimplies
                            @ ^ [Z1: $i] :
                              ! [X43: $i] :
                                ( ~ ( rel_s4 @ Z1 @ X43 )
                                | ( qmltpeq @ ( set_difference @ ( singleton @ X51 ) @ X49 ) @ empty_set @ X43 ) )
                            @ ^ [Z1: $i] :
                              ! [X44: $i] :
                                ( ~ ( rel_s4 @ Z1 @ X44 )
                                | ( in @ X51 @ X49 @ X44 ) )
                            @ X45 ) )
                      @ ^ [Z0: $i] :
                        ! [X48: $i] :
                          ( ~ ( rel_s4 @ Z0 @ X48 )
                          | ( mimplies
                            @ ^ [Z1: $i] :
                              ! [X46: $i] :
                                ( ~ ( rel_s4 @ Z1 @ X46 )
                                | ( in @ X51 @ X49 @ X46 ) )
                            @ ^ [Z1: $i] :
                              ! [X47: $i] :
                                ( ~ ( rel_s4 @ Z1 @ X47 )
                                | ( qmltpeq @ ( set_difference @ ( singleton @ X51 ) @ X49 ) @ empty_set @ X47 ) )
                            @ X48 ) )
                      @ X50 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t68_zfmisc_1])]),c_0_5]),c_0_6]),c_0_7])]) ).

thf(c_0_10,plain,
    ! [X191: $i,X192: $i,X193: mu,X194: $i,X195: mu] :
      ( ~ ( rel_s4 @ X191 @ X192 )
      | ~ ( exists_in_world @ X193 @ X192 )
      | ~ ( rel_s4 @ X192 @ X194 )
      | ~ ( exists_in_world @ X195 @ X194 )
      | ( mand
        @ ^ [Z0: $i] :
          ! [X81: $i] :
            ( ~ ( rel_s4 @ Z0 @ X81 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X79: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X79 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ X193 ) @ X195 ) @ empty_set @ X79 ) )
              @ ^ [Z1: $i] :
                ! [X80: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X80 )
                  | ( in @ X193 @ X195 @ X80 ) )
              @ X81 ) )
        @ ^ [Z0: $i] :
          ! [X84: $i] :
            ( ~ ( rel_s4 @ Z0 @ X84 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X82: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X82 )
                  | ( in @ X193 @ X195 @ X82 ) )
              @ ^ [Z1: $i] :
                ! [X83: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X83 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ X193 ) @ X195 ) @ empty_set @ X83 ) )
              @ X84 ) )
        @ X194 ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

thf(c_0_11,negated_conjecture,
    ( ( rel_s4 @ esk1_0 @ esk2_0 )
    & ( exists_in_world @ esk3_0 @ esk2_0 )
    & ( rel_s4 @ esk2_0 @ esk4_0 )
    & ( exists_in_world @ esk5_0 @ esk4_0 )
    & ~ ( mand
        @ ^ [Z0: $i] :
          ! [X45: $i] :
            ( ~ ( rel_s4 @ Z0 @ X45 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X43: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X43 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ esk3_0 ) @ esk5_0 ) @ empty_set @ X43 ) )
              @ ^ [Z1: $i] :
                ! [X44: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X44 )
                  | ( in @ esk3_0 @ esk5_0 @ X44 ) )
              @ X45 ) )
        @ ^ [Z0: $i] :
          ! [X48: $i] :
            ( ~ ( rel_s4 @ Z0 @ X48 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X46: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X46 )
                  | ( in @ esk3_0 @ esk5_0 @ X46 ) )
              @ ^ [Z1: $i] :
                ! [X47: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X47 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ esk3_0 ) @ esk5_0 ) @ empty_set @ X47 ) )
              @ X48 ) )
        @ esk4_0 ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

thf(c_0_12,plain,
    ! [X7: $i,X10: mu,X12: mu,X3: $i,X16: $i] :
      ( ( mand
        @ ^ [Z0: $i] :
          ! [X263: $i] :
            ( ~ ( rel_s4 @ Z0 @ X263 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X264: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X264 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X264 ) )
              @ ^ [Z1: $i] :
                ! [X265: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X265 )
                  | ( in @ X10 @ X12 @ X265 ) )
              @ X263 ) )
        @ ^ [Z0: $i] :
          ! [X266: $i] :
            ( ~ ( rel_s4 @ Z0 @ X266 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X267: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X267 )
                  | ( in @ X10 @ X12 @ X267 ) )
              @ ^ [Z1: $i] :
                ! [X268: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X268 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X268 ) )
              @ X266 ) )
        @ X16 )
      | ~ ( rel_s4 @ X3 @ X7 )
      | ~ ( exists_in_world @ X10 @ X7 )
      | ~ ( rel_s4 @ X7 @ X16 )
      | ~ ( exists_in_world @ X12 @ X16 ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_13,negated_conjecture,
    rel_s4 @ esk2_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_14,negated_conjecture,
    ! [X3: $i,X12: mu,X10: mu] :
      ( ( mand
        @ ^ [Z0: $i] :
          ! [X269: $i] :
            ( ~ ( rel_s4 @ Z0 @ X269 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X270: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X270 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X270 ) )
              @ ^ [Z1: $i] :
                ! [X271: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X271 )
                  | ( in @ X10 @ X12 @ X271 ) )
              @ X269 ) )
        @ ^ [Z0: $i] :
          ! [X272: $i] :
            ( ~ ( rel_s4 @ Z0 @ X272 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X273: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X273 )
                  | ( in @ X10 @ X12 @ X273 ) )
              @ ^ [Z1: $i] :
                ! [X274: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X274 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X274 ) )
              @ X272 ) )
        @ esk4_0 )
      | ~ ( rel_s4 @ X3 @ esk2_0 )
      | ~ ( exists_in_world @ X12 @ esk4_0 )
      | ~ ( exists_in_world @ X10 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_15,negated_conjecture,
    rel_s4 @ esk1_0 @ esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_16,negated_conjecture,
    ~ ( mand
      @ ^ [Z0: $i] :
        ! [X275: $i] :
          ( ~ ( rel_s4 @ Z0 @ X275 )
          | ( mimplies
            @ ^ [Z1: $i] :
              ! [X276: $i] :
                ( ~ ( rel_s4 @ Z1 @ X276 )
                | ( qmltpeq @ ( set_difference @ ( singleton @ esk3_0 ) @ esk5_0 ) @ empty_set @ X276 ) )
            @ ^ [Z1: $i] :
              ! [X277: $i] :
                ( ~ ( rel_s4 @ Z1 @ X277 )
                | ( in @ esk3_0 @ esk5_0 @ X277 ) )
            @ X275 ) )
      @ ^ [Z0: $i] :
        ! [X278: $i] :
          ( ~ ( rel_s4 @ Z0 @ X278 )
          | ( mimplies
            @ ^ [Z1: $i] :
              ! [X279: $i] :
                ( ~ ( rel_s4 @ Z1 @ X279 )
                | ( in @ esk3_0 @ esk5_0 @ X279 ) )
            @ ^ [Z1: $i] :
              ! [X280: $i] :
                ( ~ ( rel_s4 @ Z1 @ X280 )
                | ( qmltpeq @ ( set_difference @ ( singleton @ esk3_0 ) @ esk5_0 ) @ empty_set @ X280 ) )
            @ X278 ) )
      @ esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_17,negated_conjecture,
    ! [X12: mu,X10: mu] :
      ( ( mand
        @ ^ [Z0: $i] :
          ! [X281: $i] :
            ( ~ ( rel_s4 @ Z0 @ X281 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X282: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X282 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X282 ) )
              @ ^ [Z1: $i] :
                ! [X283: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X283 )
                  | ( in @ X10 @ X12 @ X283 ) )
              @ X281 ) )
        @ ^ [Z0: $i] :
          ! [X284: $i] :
            ( ~ ( rel_s4 @ Z0 @ X284 )
            | ( mimplies
              @ ^ [Z1: $i] :
                ! [X285: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X285 )
                  | ( in @ X10 @ X12 @ X285 ) )
              @ ^ [Z1: $i] :
                ! [X286: $i] :
                  ( ~ ( rel_s4 @ Z1 @ X286 )
                  | ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X286 ) )
              @ X284 ) )
        @ esk4_0 )
      | ~ ( exists_in_world @ X12 @ esk4_0 )
      | ~ ( exists_in_world @ X10 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_18,negated_conjecture,
    exists_in_world @ esk5_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_19,negated_conjecture,
    exists_in_world @ esk3_0 @ esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET925^7 : TPTP v8.1.2. Released v5.5.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n004.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 May  3 10:01:48 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.41  Running higher-order theorem proving
% 0.15/0.41  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.piH2div6vJ/E---3.1_11675.p
% 0.15/0.51  # Version: 3.1.0-ho
% 0.15/0.51  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.15/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.15/0.51  # Starting post_as_ho3 with 300s (1) cores
% 0.15/0.51  # Starting new_ho_12 with 300s (1) cores
% 0.15/0.51  # Starting new_bool_2 with 300s (1) cores
% 0.15/0.51  # new_bool_2 with pid 11756 completed with status 0
% 0.15/0.51  # Result found by new_bool_2
% 0.15/0.51  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.15/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.15/0.51  # Starting post_as_ho3 with 300s (1) cores
% 0.15/0.51  # Starting new_ho_12 with 300s (1) cores
% 0.15/0.51  # Starting new_bool_2 with 300s (1) cores
% 0.15/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.51  # Search class: HHHNM-FFMS21-DHSSMFNN
% 0.15/0.51  # partial match(3): HHHNM-FFSF21-SHSSMFNN
% 0.15/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.51  # Starting new_ho_10 with 181s (1) cores
% 0.15/0.51  # new_ho_10 with pid 11757 completed with status 0
% 0.15/0.51  # Result found by new_ho_10
% 0.15/0.51  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.15/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.15/0.51  # Starting post_as_ho3 with 300s (1) cores
% 0.15/0.51  # Starting new_ho_12 with 300s (1) cores
% 0.15/0.51  # Starting new_bool_2 with 300s (1) cores
% 0.15/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.51  # Search class: HHHNM-FFMS21-DHSSMFNN
% 0.15/0.51  # partial match(3): HHHNM-FFSF21-SHSSMFNN
% 0.15/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.51  # Starting new_ho_10 with 181s (1) cores
% 0.15/0.51  # Preprocessing time       : 0.004 s
% 0.15/0.51  # Presaturation interreduction done
% 0.15/0.51  
% 0.15/0.51  # Proof found!
% 0.15/0.51  # SZS status Theorem
% 0.15/0.51  # SZS output start CNFRefutation
% See solution above
% 0.15/0.51  # Parsed axioms                        : 95
% 0.15/0.51  # Removed by relevancy pruning/SinE    : 70
% 0.15/0.51  # Initial clauses                      : 27
% 0.15/0.51  # Removed in clause preprocessing      : 0
% 0.15/0.51  # Initial clauses in saturation        : 27
% 0.15/0.51  # Processed clauses                    : 234
% 0.15/0.51  # ...of these trivial                  : 0
% 0.15/0.51  # ...subsumed                          : 0
% 0.15/0.51  # ...remaining for further processing  : 234
% 0.15/0.51  # Other redundant clauses eliminated   : 0
% 0.15/0.51  # Clauses deleted for lack of memory   : 0
% 0.15/0.51  # Backward-subsumed                    : 3
% 0.15/0.51  # Backward-rewritten                   : 0
% 0.15/0.51  # Generated clauses                    : 323
% 0.15/0.51  # ...of the previous two non-redundant : 319
% 0.15/0.51  # ...aggressively subsumed             : 0
% 0.15/0.51  # Contextual simplify-reflections      : 0
% 0.15/0.51  # Paramodulations                      : 323
% 0.15/0.51  # Factorizations                       : 0
% 0.15/0.51  # NegExts                              : 0
% 0.15/0.51  # Equation resolutions                 : 0
% 0.15/0.51  # Disequality decompositions           : 0
% 0.15/0.51  # Total rewrite steps                  : 5
% 0.15/0.51  # ...of those cached                   : 0
% 0.15/0.51  # Propositional unsat checks           : 0
% 0.15/0.51  #    Propositional check models        : 0
% 0.15/0.51  #    Propositional check unsatisfiable : 0
% 0.15/0.51  #    Propositional clauses             : 0
% 0.15/0.51  #    Propositional clauses after purity: 0
% 0.15/0.51  #    Propositional unsat core size     : 0
% 0.15/0.51  #    Propositional preprocessing time  : 0.000
% 0.15/0.51  #    Propositional encoding time       : 0.000
% 0.15/0.51  #    Propositional solver time         : 0.000
% 0.15/0.51  #    Success case prop preproc time    : 0.000
% 0.15/0.51  #    Success case prop encoding time   : 0.000
% 0.15/0.51  #    Success case prop solver time     : 0.000
% 0.15/0.51  # Current number of processed clauses  : 204
% 0.15/0.51  #    Positive orientable unit clauses  : 15
% 0.15/0.51  #    Positive unorientable unit clauses: 0
% 0.15/0.51  #    Negative unit clauses             : 1
% 0.15/0.51  #    Non-unit-clauses                  : 188
% 0.15/0.51  # Current number of unprocessed clauses: 139
% 0.15/0.51  # ...number of literals in the above   : 758
% 0.15/0.51  # Current number of archived formulas  : 0
% 0.15/0.51  # Current number of archived clauses   : 30
% 0.15/0.51  # Clause-clause subsumption calls (NU) : 18985
% 0.15/0.51  # Rec. Clause-clause subsumption calls : 1886
% 0.15/0.51  # Non-unit clause-clause subsumptions  : 29
% 0.15/0.51  # Unit Clause-clause subsumption calls : 21
% 0.15/0.51  # Rewrite failures with RHS unbound    : 0
% 0.15/0.51  # BW rewrite match attempts            : 0
% 0.15/0.51  # BW rewrite match successes           : 0
% 0.15/0.51  # Condensation attempts                : 234
% 0.15/0.51  # Condensation successes               : 26
% 0.15/0.51  # Termbank termtop insertions          : 59772
% 0.15/0.51  # Search garbage collected termcells   : 5045
% 0.15/0.51  
% 0.15/0.51  # -------------------------------------------------
% 0.15/0.51  # User time                : 0.081 s
% 0.15/0.51  # System time              : 0.005 s
% 0.15/0.51  # Total time               : 0.086 s
% 0.15/0.51  # Maximum resident set size: 2756 pages
% 0.15/0.51  
% 0.15/0.51  # -------------------------------------------------
% 0.15/0.51  # User time                : 0.085 s
% 0.15/0.51  # System time              : 0.006 s
% 0.15/0.51  # Total time               : 0.091 s
% 0.15/0.51  # Maximum resident set size: 1828 pages
% 0.15/0.51  % E---3.1 exiting
% 0.15/0.51  % E exiting
%------------------------------------------------------------------------------