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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : PHI002^2 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 08:20:06 AM UTC 2026

% Result   : Theorem 0.10s 0.23s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   42 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  119 (  24 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  281 (  30   ~;  22   |;  12   &; 209   @)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   92 (  92   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   2 con; 0-3 aty)
%            Number of variables   :  121 (  73   ^;  40   !;   8   ?; 121   :)

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

thf(decl_26,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(decl_28,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_29,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

thf(decl_33,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

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

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

thf(decl_39,type,
    mbox_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_40,type,
    mdia_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_41,type,
    rel: $i > $i > $o ).

thf(decl_42,type,
    mbox: ( $i > $o ) > $i > $o ).

thf(decl_43,type,
    mdia: ( $i > $o ) > $i > $o ).

thf(decl_44,type,
    mvalid: ( $i > $o ) > $o ).

thf(decl_46,type,
    positive: ( mu > $i > $o ) > $i > $o ).

thf(decl_47,type,
    esk1_0: $i ).

thf(decl_48,type,
    epred1_0: mu > $i > $o ).

thf(decl_49,type,
    esk2_3: $i > ( mu > $i > $o ) > ( mu > $i > $o ) > $i ).

thf(decl_50,type,
    esk3_3: $i > ( mu > $i > $o ) > ( mu > $i > $o ) > mu ).

thf(mdia_generic,axiom,
    ( mdia_generic
    = ( ^ [X15: $i > $i > $o,X4: $i > $o,X3: $i] :
        ? [X16: $i] :
          ( ( X15 @ X3 @ X16 )
          & ( X4 @ X16 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mdia_generic) ).

thf(mbox_generic,axiom,
    ( mbox_generic
    = ( ^ [X15: $i > $i > $o,X4: $i > $o,X3: $i] :
        ! [X16: $i] :
          ( ~ ( X15 @ X3 @ X16 )
          | ( X4 @ X16 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mbox_generic) ).

thf(thmT1,conjecture,
    ( mvalid
    @ ( mforall_indset
      @ ^ [X20: mu > $i > $o] :
          ( mimplies @ ( positive @ X20 )
          @ ( mdia
            @ ( mexists_ind
              @ ^ [X1: mu] : ( X20 @ X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',thmT1) ).

thf(mexists_ind,axiom,
    ( mexists_ind
    = ( ^ [X11: mu > $i > $o,X3: $i] :
        ? [X1: mu] : ( X11 @ X1 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mexists_ind) ).

thf(mdia,axiom,
    ( mdia
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ? [X22: $i] :
          ( ( rel @ Z1 @ X22 )
          & ( Z0 @ X22 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mdia) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
         => ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mimplies) ).

thf(mforall_indset,axiom,
    ( mforall_indset
    = ( ^ [X7: ( mu > $i > $o ) > $i > $o,X3: $i] :
        ! [X8: mu > $i > $o] : ( X7 @ X8 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mforall_indset) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X4: $i > $o] :
        ! [X3: $i] : ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mvalid) ).

thf(mforall_ind,axiom,
    ( mforall_ind
    = ( ^ [X6: mu > $i > $o,X3: $i] :
        ! [X1: mu] : ( X6 @ X1 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mforall_ind) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ! [X21: $i] :
          ( ~ ( rel @ Z1 @ X21 )
          | ( Z0 @ X21 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mbox) ).

thf(mand,axiom,
    ( mand
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
          & ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mand) ).

thf(axA2,axiom,
    ( mvalid
    @ ( mforall_indset
      @ ^ [X18: mu > $i > $o] :
          ( mforall_indset
          @ ^ [X19: mu > $i > $o] :
              ( mimplies
              @ ( mand @ ( positive @ X18 )
                @ ( mbox
                  @ ( mforall_ind
                    @ ^ [X1: mu] : ( mimplies @ ( X18 @ X1 ) @ ( X19 @ X1 ) ) ) ) )
              @ ( positive @ X19 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',axA2) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X4: $i > $o,X3: $i] :
          ~ ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mnot) ).

thf(mequiv,axiom,
    ( mequiv
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
        <=> ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',mequiv) ).

thf(axA1,axiom,
    ( mvalid
    @ ( mforall_indset
      @ ^ [X17: mu > $i > $o] :
          ( mequiv
          @ ( positive
            @ ^ [X1: mu] : ( mnot @ ( X17 @ X1 ) ) )
          @ ( mnot @ ( positive @ X17 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hB7cKyzsBL/E---3.1_2081612.p',axA1) ).

thf(c_0_15,plain,
    ( mdia_generic
    = ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
        ? [X16: $i] :
          ( ( Z0 @ Z2 @ X16 )
          & ( Z1 @ X16 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mdia_generic]) ).

thf(c_0_16,plain,
    ( mbox_generic
    = ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X16: $i] :
          ( ~ ( Z0 @ Z2 @ X16 )
          | ( Z1 @ X16 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_generic]) ).

thf(c_0_17,negated_conjecture,
    ~ ( mvalid
      @ ( mforall_indset
        @ ^ [X20: mu > $i > $o] :
            ( mimplies @ ( positive @ X20 )
            @ ( mdia
              @ ( mexists_ind
                @ ^ [X1: mu] : ( X20 @ X1 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[thmT1]) ).

thf(c_0_18,plain,
    ( mexists_ind
    = ( ^ [Z0: mu > $i > $o,Z1: $i] :
        ? [X1: mu] : ( Z0 @ X1 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mexists_ind]) ).

thf(c_0_19,axiom,
    ( mdia
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ? [X22: $i] :
          ( ( rel @ Z1 @ X22 )
          & ( Z0 @ X22 ) ) ) ),
    inference(apply_def,[status(thm)],[mdia,c_0_15]) ).

thf(c_0_20,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
         => ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies]) ).

thf(c_0_21,plain,
    ( mforall_indset
    = ( ^ [Z0: ( mu > $i > $o ) > $i > $o,Z1: $i] :
        ! [X8: mu > $i > $o] : ( Z0 @ X8 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_indset]) ).

thf(c_0_22,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_23,plain,
    ( mforall_ind
    = ( ^ [Z0: mu > $i > $o,Z1: $i] :
        ! [X1: mu] : ( Z0 @ X1 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_ind]) ).

thf(c_0_24,axiom,
    ( mbox
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ! [X21: $i] :
          ( ~ ( rel @ Z1 @ X21 )
          | ( Z0 @ X21 ) ) ) ),
    inference(apply_def,[status(thm)],[mbox,c_0_16]) ).

thf(c_0_25,plain,
    ( mand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          & ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mand]) ).

thf(c_0_26,negated_conjecture,
    ~ ! [X26: $i,X25: mu > $i > $o] :
        ( ( positive @ X25 @ X26 )
       => ? [X24: $i] :
            ( ( rel @ X26 @ X24 )
            & ? [X23: mu] : ( X25 @ X23 @ X24 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]) ).

thf(c_0_27,plain,
    ! [X33: $i,X32: mu > $i > $o,X31: mu > $i > $o] :
      ( ( ( positive @ X32 @ X33 )
        & ! [X30: $i] :
            ( ~ ( rel @ X33 @ X30 )
            | ! [X29: mu] :
                ( ( X32 @ X29 @ X30 )
               => ( X31 @ X29 @ X30 ) ) ) )
     => ( positive @ X31 @ X33 ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axA2]),c_0_23]),c_0_24]),c_0_25]),c_0_20]),c_0_21]),c_0_22])]) ).

thf(c_0_28,plain,
    ( mnot
    = ( ^ [Z0: $i > $o,Z1: $i] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot]) ).

thf(c_0_29,plain,
    ( mequiv
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
        <=> ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mequiv]) ).

thf(c_0_30,negated_conjecture,
    ! [X36: $i,X37: mu] :
      ( ( positive @ epred1_0 @ esk1_0 )
      & ( ~ ( rel @ esk1_0 @ X36 )
        | ~ ( epred1_0 @ X37 @ X36 ) ) ),
    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_26])])])])]) ).

thf(c_0_31,plain,
    ! [X40: $i,X41: mu > $i > $o,X42: mu > $i > $o] :
      ( ( ( rel @ X40 @ ( esk2_3 @ X40 @ X41 @ X42 ) )
        | ~ ( positive @ X41 @ X40 )
        | ( positive @ X42 @ X40 ) )
      & ( ( X41 @ ( esk3_3 @ X40 @ X41 @ X42 ) @ ( esk2_3 @ X40 @ X41 @ X42 ) )
        | ~ ( positive @ X41 @ X40 )
        | ( positive @ X42 @ X40 ) )
      & ( ~ ( X42 @ ( esk3_3 @ X40 @ X41 @ X42 ) @ ( esk2_3 @ X40 @ X41 @ X42 ) )
        | ~ ( positive @ X41 @ X40 )
        | ( positive @ X42 @ X40 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).

thf(c_0_32,plain,
    ! [X28: $i,X27: mu > $i > $o] :
      ( ( positive
        @ ^ [Z0: mu,Z1: $i] :
            ~ ( X27 @ Z0 @ Z1 )
        @ X28 )
    <=> ~ ( positive @ X27 @ X28 ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axA1]),c_0_28]),c_0_29]),c_0_21]),c_0_22])]) ).

thf(c_0_33,negated_conjecture,
    ! [X1: mu,X3: $i] :
      ( ~ ( rel @ esk1_0 @ X3 )
      | ~ ( epred1_0 @ X1 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_34,plain,
    ! [X8: mu > $i > $o,X6: mu > $i > $o,X3: $i] :
      ( ( rel @ X3 @ ( esk2_3 @ X3 @ X6 @ X8 ) )
      | ( positive @ X8 @ X3 )
      | ~ ( positive @ X6 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

thf(c_0_35,plain,
    ! [X38: $i,X39: mu > $i > $o] :
      ( ( ~ ( positive
            @ ^ [Z0: mu,Z1: $i] :
                ~ ( X39 @ Z0 @ Z1 )
            @ X38 )
        | ~ ( positive @ X39 @ X38 ) )
      & ( ( positive @ X39 @ X38 )
        | ( positive
          @ ^ [Z0: mu,Z1: $i] :
              ~ ( X39 @ Z0 @ Z1 )
          @ X38 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).

thf(c_0_36,negated_conjecture,
    ! [X6: mu > $i > $o,X1: mu,X8: mu > $i > $o] :
      ( ( positive @ X6 @ esk1_0 )
      | ~ ( epred1_0 @ X1 @ ( esk2_3 @ esk1_0 @ X8 @ X6 ) )
      | ~ ( positive @ X8 @ esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

thf(c_0_37,plain,
    ! [X8: mu > $i > $o,X6: mu > $i > $o,X3: $i] :
      ( ( X6 @ ( esk3_3 @ X3 @ X6 @ X8 ) @ ( esk2_3 @ X3 @ X6 @ X8 ) )
      | ( positive @ X8 @ X3 )
      | ~ ( positive @ X6 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

thf(c_0_38,negated_conjecture,
    positive @ epred1_0 @ esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_39,plain,
    ! [X6: mu > $i > $o,X3: $i] :
      ( ~ ( positive
          @ ^ [Z0: mu,Z1: $i] :
              ~ ( X6 @ Z0 @ Z1 )
          @ X3 )
      | ~ ( positive @ X6 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_40,negated_conjecture,
    ! [X6: mu > $i > $o] : ( positive @ X6 @ esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).

thf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PHI002^2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16  % Computer : n013.cluster.edu
% 0.10/0.16  % Model    : x86_64 x86_64
% 0.10/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16  % Memory   : 8046.5625MB
% 0.10/0.16  % OS       : Linux 6.8.0-71-generic
% 0.10/0.16  % CPULimit : 300
% 0.10/0.16  % WCLimit  : 300
% 0.10/0.16  % DateTime : Tue Sep 29 13:16:21 UTC 2026
% 0.10/0.16  % CPUTime  : 
% 0.10/0.16  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  Running higher-order theorem proving
% 0.10/0.21  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.hB7cKyzsBL/E---3.1_2081612.p
% 0.10/0.23  % Version: 3.5.1-ho
% 0.10/0.23  % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.10/0.23  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.23  % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.10/0.23  % Starting lpo9_lambda_fix with 300s (1) cores
% 0.10/0.23  % Starting sh5l with 300s (1) cores
% 0.10/0.23  % Starting ho_unfolding_6 with 300s (1) cores
% 0.10/0.23  % sh5l with pid 2081627 completed with status 0
% 0.10/0.23  % Result found by sh5l
% 0.10/0.23  % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.10/0.23  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.23  % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.10/0.23  % Starting lpo9_lambda_fix with 300s (1) cores
% 0.10/0.23  % Starting sh5l with 300s (1) cores
% 0.10/0.23  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.10/0.23  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.23  % Search class: HGHNF-FFSF33-MHHSMSBN
% 0.10/0.23  % partial match(1): HGHNF-FFSF33-SHHSMSBN
% 0.10/0.23  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.23  % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.23  % SubtermCWHack with pid 2081631 completed with status 0
% 0.10/0.23  % Result found by SubtermCWHack
% 0.10/0.23  % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.10/0.23  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.23  % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.10/0.23  % Starting lpo9_lambda_fix with 300s (1) cores
% 0.10/0.23  % Starting sh5l with 300s (1) cores
% 0.10/0.23  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.10/0.23  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.23  % Search class: HGHNF-FFSF33-MHHSMSBN
% 0.10/0.23  % partial match(1): HGHNF-FFSF33-SHHSMSBN
% 0.10/0.23  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.23  % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.23  % Preprocessing time       : 0.001 s
% 0.10/0.23  
% 0.10/0.23  % Proof found!
% 0.10/0.23  % SZS status Theorem
% 0.10/0.23  % SZS output start CNFRefutation
% See solution above
% 0.10/0.23  % Parsed axioms                        : 50
% 0.10/0.23  % Removed by relevancy pruning/SinE    : 35
% 0.10/0.23  % Initial clauses                      : 7
% 0.10/0.23  % Removed in clause preprocessing      : 0
% 0.10/0.23  % Initial clauses in saturation        : 7
% 0.10/0.23  % Processed clauses                    : 8
% 0.10/0.23  % ...of these trivial                  : 0
% 0.10/0.23  % ...subsumed                          : 0
% 0.10/0.23  % ...remaining for further processing  : 8
% 0.10/0.23  % Other redundant clauses eliminated   : 0
% 0.10/0.23  % Clauses deleted for lack of memory   : 0
% 0.10/0.23  % Backward-subsumed                    : 0
% 0.10/0.23  % Backward-rewritten                   : 2
% 0.10/0.23  % Generated clauses                    : 4
% 0.10/0.23  % ...of the previous two non-redundant : 2
% 0.10/0.23  % ...aggressively subsumed             : 0
% 0.10/0.23  % Contextual simplify-reflections      : 0
% 0.10/0.23  % Paramodulations                      : 4
% 0.10/0.23  % Factorizations                       : 0
% 0.10/0.23  % NegExts                              : 0
% 0.10/0.23  % Equation resolutions                 : 0
% 0.10/0.23  % Disequality decompositions           : 0
% 0.10/0.23  % Total rewrite steps                  : 5
% 0.10/0.23  % ...of those cached                   : 1
% 0.10/0.23  % Propositional unsat checks           : 0
% 0.10/0.23  %    Propositional check models        : 0
% 0.10/0.23  %    Propositional check unsatisfiable : 0
% 0.10/0.23  %    Propositional clauses             : 0
% 0.10/0.23  %    Propositional clauses after purity: 0
% 0.10/0.23  %    Propositional unsat core size     : 0
% 0.10/0.23  %    Propositional preprocessing time  : 0.000
% 0.10/0.23  %    Propositional encoding time       : 0.000
% 0.10/0.23  %    Propositional solver time         : 0.000
% 0.10/0.23  %    Success case prop preproc time    : 0.000
% 0.10/0.23  %    Success case prop encoding time   : 0.000
% 0.10/0.23  %    Success case prop solver time     : 0.000
% 0.10/0.23  % Current number of processed clauses  : 6
% 0.10/0.23  %    Positive orientable unit clauses  : 1
% 0.10/0.23  %    Positive unorientable unit clauses: 0
% 0.10/0.23  %    Negative unit clauses             : 0
% 0.10/0.23  %    Non-unit-clauses                  : 5
% 0.10/0.23  % Current number of unprocessed clauses: 1
% 0.10/0.23  % ...number of literals in the above   : 3
% 0.10/0.23  % Current number of archived formulas  : 0
% 0.10/0.23  % Current number of archived clauses   : 2
% 0.10/0.23  % Clause-clause subsumption calls (NU) : 0
% 0.10/0.23  % Rec. Clause-clause subsumption calls : 0
% 0.10/0.23  % Non-unit clause-clause subsumptions  : 0
% 0.10/0.23  % Unit Clause-clause subsumption calls : 0
% 0.10/0.23  % Rewrite failures with RHS unbound    : 0
% 0.10/0.23  % BW rewrite match attempts            : 3
% 0.10/0.23  % BW rewrite match successes           : 3
% 0.10/0.23  % Condensation attempts                : 0
% 0.10/0.23  % Condensation successes               : 0
% 0.10/0.24  % Termbank termtop insertions          : 1719
% 0.10/0.24  % Search garbage collected termcells   : 657
% 0.10/0.24  
% 0.10/0.24  % -------------------------------------------------
% 0.10/0.24  % User time                : 0.004 s
% 0.10/0.24  % System time              : 0.004 s
% 0.10/0.24  % Total time               : 0.008 s
% 0.10/0.24  % Maximum resident set size: 3632 pages
% 0.10/0.24  
% 0.10/0.24  % -------------------------------------------------
% 0.10/0.24  % User time                : 0.007 s
% 0.10/0.24  % System time              : 0.007 s
% 0.10/0.24  % Total time               : 0.015 s
% 0.10/0.24  % Maximum resident set size: 4864 pages
% 0.10/0.24  % E exiting
%------------------------------------------------------------------------------