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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET027^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:21:52 AM UTC 2026

% Result   : Theorem 0.23s 0.29s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   40 (  25 unt;   0 typ;   0 def)
%            Number of atoms       :  152 (  17 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  462 (  70   ~;  57   |;   8   &; 318   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :   83 (  49   ^;  34   !;   0   ?;  83   :)

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

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

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

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

thf(decl_32,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

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

thf(decl_38,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

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

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

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

thf(decl_61,type,
    esk2_3: $i > mu > mu > mu ).

thf(decl_62,type,
    esk3_0: $i ).

thf(decl_63,type,
    esk4_0: mu ).

thf(decl_64,type,
    esk5_0: mu ).

thf(decl_65,type,
    esk6_0: mu ).

thf(mand,axiom,
    ( mand
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',mand) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X4: $i > $o,X3: $i] :
          ~ ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
          | ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',mor) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',mimplies) ).

thf(mequiv,axiom,
    ( mequiv
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mand @ ( mimplies @ X4 @ X5 ) @ ( mimplies @ X5 @ X4 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',mequiv) ).

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/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',mforall_ind) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X4: $i > $o] :
        ! [X3: $i] : ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',mvalid) ).

thf(prove_transitivity_of_subset,conjecture,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X20: mu] :
          ( mforall_ind
          @ ^ [X21: mu] :
              ( mforall_ind
              @ ^ [X22: mu] : ( mimplies @ ( mand @ ( subset @ X20 @ X21 ) @ ( subset @ X21 @ X22 ) ) @ ( subset @ X20 @ X22 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',prove_transitivity_of_subset) ).

thf(subset_defn,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X20: mu] :
          ( mforall_ind
          @ ^ [X21: mu] :
              ( mequiv @ ( subset @ X20 @ X21 )
              @ ( mforall_ind
                @ ^ [X22: mu] : ( mimplies @ ( member @ X22 @ X20 ) @ ( member @ X22 @ X21 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p',subset_defn) ).

thf(c_0_9,plain,
    ( mand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( Z0 @ Z2 )
            | ~ ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mand]) ).

thf(c_0_10,plain,
    ( mnot
    = ( ^ [Z0: $i > $o,Z1: $i] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot]) ).

thf(c_0_11,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

thf(c_0_12,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies]) ).

thf(c_0_13,plain,
    ( mequiv
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( ~ ( Z0 @ Z2 )
                | ( Z1 @ Z2 ) )
            | ~ ( ~ ( Z1 @ Z2 )
                | ( Z0 @ Z2 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[mequiv]) ).

thf(c_0_14,plain,
    ( mand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( Z0 @ Z2 )
            | ~ ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

thf(c_0_15,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_10]),c_0_11]) ).

thf(c_0_16,plain,
    ( mequiv
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( ~ ( Z0 @ Z2 )
                | ( Z1 @ Z2 ) )
            | ~ ( ~ ( Z1 @ Z2 )
                | ( Z0 @ Z2 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

thf(c_0_17,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_18,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_19,negated_conjecture,
    ~ ( mvalid
      @ ( mforall_ind
        @ ^ [X20: mu] :
            ( mforall_ind
            @ ^ [X21: mu] :
                ( mforall_ind
                @ ^ [X22: mu] : ( mimplies @ ( mand @ ( subset @ X20 @ X21 ) @ ( subset @ X21 @ X22 ) ) @ ( subset @ X20 @ X22 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_transitivity_of_subset]) ).

thf(c_0_20,plain,
    ! [X39: $i,X38: mu] :
      ( ( exists_in_world @ X38 @ X39 )
     => ! [X37: mu] :
          ( ( exists_in_world @ X37 @ X39 )
         => ~ ( ~ ( ~ ( subset @ X38 @ X37 @ X39 )
                  | ! [X36: mu] :
                      ( ( exists_in_world @ X36 @ X39 )
                     => ( ~ ( member @ X36 @ X38 @ X39 )
                        | ( member @ X36 @ X37 @ X39 ) ) ) )
              | ~ ( ~ ! [X36: mu] :
                        ( ( exists_in_world @ X36 @ X39 )
                       => ( ~ ( member @ X36 @ X38 @ X39 )
                          | ( member @ X36 @ X37 @ X39 ) ) )
                  | ( subset @ X38 @ X37 @ X39 ) ) ) ) ),
    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)],[subset_defn]),c_0_15]),c_0_16]),c_0_17]),c_0_18])]) ).

thf(c_0_21,negated_conjecture,
    ~ ! [X45: $i,X44: mu] :
        ( ( exists_in_world @ X44 @ X45 )
       => ! [X43: mu] :
            ( ( exists_in_world @ X43 @ X45 )
           => ! [X42: mu] :
                ( ( exists_in_world @ X42 @ X45 )
               => ( ~ ~ ( ~ ( subset @ X44 @ X43 @ X45 )
                        | ~ ( subset @ X43 @ X42 @ X45 ) )
                  | ( subset @ X44 @ X42 @ X45 ) ) ) ) ),
    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)],[c_0_19]),c_0_14]),c_0_15]),c_0_17]),c_0_18])]) ).

thf(c_0_22,plain,
    ! [X55: $i,X56: mu,X57: mu,X58: mu] :
      ( ( ~ ( subset @ X56 @ X57 @ X55 )
        | ~ ( exists_in_world @ X58 @ X55 )
        | ~ ( member @ X58 @ X56 @ X55 )
        | ( member @ X58 @ X57 @ X55 )
        | ~ ( exists_in_world @ X57 @ X55 )
        | ~ ( exists_in_world @ X56 @ X55 ) )
      & ( ( exists_in_world @ ( esk2_3 @ X55 @ X56 @ X57 ) @ X55 )
        | ( subset @ X56 @ X57 @ X55 )
        | ~ ( exists_in_world @ X57 @ X55 )
        | ~ ( exists_in_world @ X56 @ X55 ) )
      & ( ( member @ ( esk2_3 @ X55 @ X56 @ X57 ) @ X56 @ X55 )
        | ( subset @ X56 @ X57 @ X55 )
        | ~ ( exists_in_world @ X57 @ X55 )
        | ~ ( exists_in_world @ X56 @ X55 ) )
      & ( ~ ( member @ ( esk2_3 @ X55 @ X56 @ X57 ) @ X57 @ X55 )
        | ( subset @ X56 @ X57 @ X55 )
        | ~ ( exists_in_world @ X57 @ X55 )
        | ~ ( exists_in_world @ X56 @ X55 ) ) ),
    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_20])])])])])]) ).

thf(c_0_23,negated_conjecture,
    ( ( exists_in_world @ esk4_0 @ esk3_0 )
    & ( exists_in_world @ esk5_0 @ esk3_0 )
    & ( exists_in_world @ esk6_0 @ esk3_0 )
    & ( subset @ esk4_0 @ esk5_0 @ esk3_0 )
    & ( subset @ esk5_0 @ esk6_0 @ esk3_0 )
    & ~ ( subset @ esk4_0 @ esk6_0 @ esk3_0 ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).

thf(c_0_24,plain,
    ! [X14: mu,X12: mu,X10: mu,X3: $i] :
      ( ( member @ X14 @ X12 @ X3 )
      | ~ ( subset @ X10 @ X12 @ X3 )
      | ~ ( exists_in_world @ X14 @ X3 )
      | ~ ( member @ X14 @ X10 @ X3 )
      | ~ ( exists_in_world @ X12 @ X3 )
      | ~ ( exists_in_world @ X10 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_25,negated_conjecture,
    subset @ esk5_0 @ esk6_0 @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_26,negated_conjecture,
    exists_in_world @ esk6_0 @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_27,negated_conjecture,
    exists_in_world @ esk5_0 @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_28,plain,
    ! [X12: mu,X10: mu,X3: $i] :
      ( ( subset @ X10 @ X12 @ X3 )
      | ~ ( member @ ( esk2_3 @ X3 @ X10 @ X12 ) @ X12 @ X3 )
      | ~ ( exists_in_world @ X12 @ X3 )
      | ~ ( exists_in_world @ X10 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_29,negated_conjecture,
    ! [X10: mu] :
      ( ( member @ X10 @ esk6_0 @ esk3_0 )
      | ~ ( member @ X10 @ esk5_0 @ esk3_0 )
      | ~ ( exists_in_world @ X10 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

thf(c_0_30,negated_conjecture,
    subset @ esk4_0 @ esk5_0 @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_31,negated_conjecture,
    exists_in_world @ esk4_0 @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_32,negated_conjecture,
    ! [X10: mu] :
      ( ( subset @ X10 @ esk6_0 @ esk3_0 )
      | ~ ( member @ ( esk2_3 @ esk3_0 @ X10 @ esk6_0 ) @ esk5_0 @ esk3_0 )
      | ~ ( exists_in_world @ ( esk2_3 @ esk3_0 @ X10 @ esk6_0 ) @ esk3_0 )
      | ~ ( exists_in_world @ X10 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]) ).

thf(c_0_33,negated_conjecture,
    ! [X10: mu] :
      ( ( member @ X10 @ esk5_0 @ esk3_0 )
      | ~ ( member @ X10 @ esk4_0 @ esk3_0 )
      | ~ ( exists_in_world @ X10 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_30]),c_0_27]),c_0_31])]) ).

thf(c_0_34,negated_conjecture,
    ! [X10: mu] :
      ( ( subset @ X10 @ esk6_0 @ esk3_0 )
      | ~ ( member @ ( esk2_3 @ esk3_0 @ X10 @ esk6_0 ) @ esk4_0 @ esk3_0 )
      | ~ ( exists_in_world @ ( esk2_3 @ esk3_0 @ X10 @ esk6_0 ) @ esk3_0 )
      | ~ ( exists_in_world @ X10 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

thf(c_0_35,plain,
    ! [X12: mu,X10: mu,X3: $i] :
      ( ( member @ ( esk2_3 @ X3 @ X10 @ X12 ) @ X10 @ X3 )
      | ( subset @ X10 @ X12 @ X3 )
      | ~ ( exists_in_world @ X12 @ X3 )
      | ~ ( exists_in_world @ X10 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_36,negated_conjecture,
    ~ ( subset @ esk4_0 @ esk6_0 @ esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_37,negated_conjecture,
    ~ ( exists_in_world @ ( esk2_3 @ esk3_0 @ esk4_0 @ esk6_0 ) @ esk3_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_31]),c_0_26])]),c_0_36]) ).

thf(c_0_38,plain,
    ! [X12: mu,X10: mu,X3: $i] :
      ( ( exists_in_world @ ( esk2_3 @ X3 @ X10 @ X12 ) @ X3 )
      | ( subset @ X10 @ X12 @ X3 )
      | ~ ( exists_in_world @ X12 @ X3 )
      | ~ ( exists_in_world @ X10 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_39,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_26]),c_0_31])]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET027^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n003.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 13:37:43 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running higher-order theorem proving
% 0.08/0.26  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.E8y3ZNhIkv/E---3.1_2503205.p
% 0.23/0.29  % Version: 3.5.1-ho
% 0.23/0.29  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.23/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.29  % Starting post_as_ho3 with 300s (1) cores
% 0.23/0.29  % Starting new_ho_12 with 300s (1) cores
% 0.23/0.29  % Starting new_bool_2 with 300s (1) cores
% 0.23/0.29  % new_ho_12 with pid 2503220 completed with status 0
% 0.23/0.29  % Result found by new_ho_12
% 0.23/0.29  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.23/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.29  % Starting post_as_ho3 with 300s (1) cores
% 0.23/0.29  % Starting new_ho_12 with 300s (1) cores
% 0.23/0.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.29  % No SInE strategy applied
% 0.23/0.29  % Search class: HGUNS-FFSS32-SHSSMFNN
% 0.23/0.29  % partial match(2): HGUNS-FFMF32-SHSSMFNN
% 0.23/0.29  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.29  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.29  % SubtermCWHack with pid 2503226 completed with status 0
% 0.23/0.29  % Result found by SubtermCWHack
% 0.23/0.29  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.23/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.29  % Starting post_as_ho3 with 300s (1) cores
% 0.23/0.29  % Starting new_ho_12 with 300s (1) cores
% 0.23/0.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.29  % No SInE strategy applied
% 0.23/0.29  % Search class: HGUNS-FFSS32-SHSSMFNN
% 0.23/0.29  % partial match(2): HGUNS-FFMF32-SHSSMFNN
% 0.23/0.29  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.29  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.29  % Preprocessing time       : 0.001 s
% 0.23/0.29  
% 0.23/0.29  % Proof found!
% 0.23/0.29  % SZS status Theorem
% 0.23/0.29  % SZS output start CNFRefutation
% See solution above
% 0.23/0.29  % Parsed axioms                        : 77
% 0.23/0.29  % Removed by relevancy pruning/SinE    : 0
% 0.23/0.29  % Initial clauses                      : 53
% 0.23/0.29  % Removed in clause preprocessing      : 38
% 0.23/0.29  % Initial clauses in saturation        : 15
% 0.23/0.29  % Processed clauses                    : 22
% 0.23/0.29  % ...of these trivial                  : 0
% 0.23/0.29  % ...subsumed                          : 1
% 0.23/0.29  % ...remaining for further processing  : 21
% 0.23/0.29  % Other redundant clauses eliminated   : 0
% 0.23/0.29  % Clauses deleted for lack of memory   : 0
% 0.23/0.29  % Backward-subsumed                    : 0
% 0.23/0.29  % Backward-rewritten                   : 0
% 0.23/0.29  % Generated clauses                    : 13
% 0.23/0.29  % ...of the previous two non-redundant : 7
% 0.23/0.29  % ...aggressively subsumed             : 0
% 0.23/0.29  % Contextual simplify-reflections      : 0
% 0.23/0.29  % Paramodulations                      : 13
% 0.23/0.29  % Factorizations                       : 0
% 0.23/0.29  % NegExts                              : 0
% 0.23/0.29  % Equation resolutions                 : 0
% 0.23/0.29  % Disequality decompositions           : 0
% 0.23/0.29  % Total rewrite steps                  : 16
% 0.23/0.29  % ...of those cached                   : 11
% 0.23/0.29  % Propositional unsat checks           : 0
% 0.23/0.29  %    Propositional check models        : 0
% 0.23/0.29  %    Propositional check unsatisfiable : 0
% 0.23/0.29  %    Propositional clauses             : 0
% 0.23/0.29  %    Propositional clauses after purity: 0
% 0.23/0.29  %    Propositional unsat core size     : 0
% 0.23/0.29  %    Propositional preprocessing time  : 0.000
% 0.23/0.29  %    Propositional encoding time       : 0.000
% 0.23/0.29  %    Propositional solver time         : 0.000
% 0.23/0.29  %    Success case prop preproc time    : 0.000
% 0.23/0.29  %    Success case prop encoding time   : 0.000
% 0.23/0.29  %    Success case prop solver time     : 0.000
% 0.23/0.29  % Current number of processed clauses  : 21
% 0.23/0.29  %    Positive orientable unit clauses  : 7
% 0.23/0.29  %    Positive unorientable unit clauses: 0
% 0.23/0.29  %    Negative unit clauses             : 2
% 0.23/0.29  %    Non-unit-clauses                  : 12
% 0.23/0.29  % Current number of unprocessed clauses: 0
% 0.23/0.29  % ...number of literals in the above   : 0
% 0.23/0.29  % Current number of archived formulas  : 0
% 0.23/0.29  % Current number of archived clauses   : 0
% 0.23/0.29  % Clause-clause subsumption calls (NU) : 36
% 0.23/0.29  % Rec. Clause-clause subsumption calls : 19
% 0.23/0.29  % Non-unit clause-clause subsumptions  : 1
% 0.23/0.29  % Unit Clause-clause subsumption calls : 11
% 0.23/0.29  % Rewrite failures with RHS unbound    : 0
% 0.23/0.29  % BW rewrite match attempts            : 0
% 0.23/0.29  % BW rewrite match successes           : 0
% 0.23/0.29  % Condensation attempts                : 0
% 0.23/0.29  % Condensation successes               : 0
% 0.23/0.29  % Termbank termtop insertions          : 4110
% 0.23/0.29  % Search garbage collected termcells   : 1069
% 0.23/0.29  
% 0.23/0.29  % -------------------------------------------------
% 0.23/0.29  % User time                : 0.007 s
% 0.23/0.29  % System time              : 0.003 s
% 0.23/0.29  % Total time               : 0.010 s
% 0.23/0.29  % Maximum resident set size: 3708 pages
% 0.23/0.29  
% 0.23/0.29  % -------------------------------------------------
% 0.23/0.29  % User time                : 0.010 s
% 0.23/0.29  % System time              : 0.007 s
% 0.23/0.29  % Total time               : 0.017 s
% 0.23/0.29  % Maximum resident set size: 4864 pages
% 0.23/0.29  % E exiting
%------------------------------------------------------------------------------