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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET907^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 08:22:19 AM UTC 2026

% Result   : Theorem 0.11s 0.26s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   40 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  144 (  17 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  435 (  65   ~;  44   |;   7   &; 309   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   89 (  51   ^;  38   !;   0   ?;  89   :)

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

thf(decl_23,type,
    qmltpeq: mu > mu > $i > $o ).

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_59,type,
    subset: mu > mu > $i > $o ).

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

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

thf(decl_62,type,
    set_union2: mu > mu > mu ).

thf(decl_66,type,
    esk4_0: $i ).

thf(decl_67,type,
    esk5_0: mu ).

thf(decl_68,type,
    esk6_0: mu ).

thf(decl_69,type,
    esk7_0: mu ).

thf(mand,axiom,
    ( mand
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',mand) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X4: $i > $o,X3: $i] :
          ~ ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
          | ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',mor) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',mimplies) ).

thf(t48_zfmisc_1,conjecture,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X28: mu] :
          ( mforall_ind
          @ ^ [X29: mu] :
              ( mforall_ind
              @ ^ [X30: mu] : ( mimplies @ ( mand @ ( in @ X28 @ X29 ) @ ( in @ X30 @ X29 ) ) @ ( qmltpeq @ ( set_union2 @ ( unordered_pair @ X28 @ X30 ) @ X29 ) @ X29 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',t48_zfmisc_1) ).

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.YKcslMW7Mu/E---3.1_3169940.p',mforall_ind) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X4: $i > $o] :
        ! [X3: $i] : ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',mvalid) ).

thf(mequiv,axiom,
    ( mequiv
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mand @ ( mimplies @ X4 @ X5 ) @ ( mimplies @ X5 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',mequiv) ).

thf(t12_xboole_1,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X28: mu] :
          ( mforall_ind
          @ ^ [X29: mu] : ( mimplies @ ( subset @ X28 @ X29 ) @ ( qmltpeq @ ( set_union2 @ X28 @ X29 ) @ X29 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',t12_xboole_1) ).

thf(existence_of_unordered_pair_ax,axiom,
    ! [X7: $i,X20: mu,X21: mu] : ( exists_in_world @ ( unordered_pair @ X20 @ X21 ) @ X7 ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',existence_of_unordered_pair_ax) ).

thf(t38_zfmisc_1,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X28: mu] :
          ( mforall_ind
          @ ^ [X29: mu] :
              ( mforall_ind
              @ ^ [X30: mu] : ( mequiv @ ( subset @ ( unordered_pair @ X28 @ X29 ) @ X30 ) @ ( mand @ ( in @ X28 @ X30 ) @ ( in @ X29 @ X30 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YKcslMW7Mu/E---3.1_3169940.p',t38_zfmisc_1) ).

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

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

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

thf(c_0_14,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies]) ).

thf(c_0_15,negated_conjecture,
    ~ ( mvalid
      @ ( mforall_ind
        @ ^ [X28: mu] :
            ( mforall_ind
            @ ^ [X29: mu] :
                ( mforall_ind
                @ ^ [X30: mu] : ( mimplies @ ( mand @ ( in @ X28 @ X29 ) @ ( in @ X30 @ X29 ) ) @ ( qmltpeq @ ( set_union2 @ ( unordered_pair @ X28 @ X30 ) @ X29 ) @ X29 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t48_zfmisc_1]) ).

thf(c_0_16,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_11,c_0_12]),c_0_13]) ).

thf(c_0_17,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_14,c_0_12]),c_0_13]) ).

thf(c_0_18,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_19,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_20,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_21,negated_conjecture,
    ~ ! [X129: $i,X128: mu] :
        ( ( exists_in_world @ X128 @ X129 )
       => ! [X127: mu] :
            ( ( exists_in_world @ X127 @ X129 )
           => ! [X126: mu] :
                ( ( exists_in_world @ X126 @ X129 )
               => ( ~ ~ ( ~ ( in @ X128 @ X127 @ X129 )
                        | ~ ( in @ X126 @ X127 @ X129 ) )
                  | ( qmltpeq @ ( set_union2 @ ( unordered_pair @ X128 @ X126 ) @ X127 ) @ X127 @ X129 ) ) ) ) ),
    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_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).

thf(c_0_22,plain,
    ! [X121: $i,X120: mu] :
      ( ( exists_in_world @ X120 @ X121 )
     => ! [X119: mu] :
          ( ( exists_in_world @ X119 @ X121 )
         => ( ~ ( subset @ X120 @ X119 @ X121 )
            | ( qmltpeq @ ( set_union2 @ X120 @ X119 ) @ X119 @ X121 ) ) ) ),
    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)],[t12_xboole_1]),c_0_17]),c_0_18]),c_0_19])]) ).

thf(c_0_23,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_20,c_0_16]),c_0_17]) ).

thf(c_0_24,negated_conjecture,
    ( ( exists_in_world @ esk5_0 @ esk4_0 )
    & ( exists_in_world @ esk6_0 @ esk4_0 )
    & ( exists_in_world @ esk7_0 @ esk4_0 )
    & ( in @ esk5_0 @ esk6_0 @ esk4_0 )
    & ( in @ esk7_0 @ esk6_0 @ esk4_0 )
    & ~ ( qmltpeq @ ( set_union2 @ ( unordered_pair @ esk5_0 @ esk7_0 ) @ esk6_0 ) @ esk6_0 @ esk4_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_25,plain,
    ! [X214: $i,X215: mu,X216: mu] :
      ( ~ ( exists_in_world @ X215 @ X214 )
      | ~ ( exists_in_world @ X216 @ X214 )
      | ~ ( subset @ X215 @ X216 @ X214 )
      | ( qmltpeq @ ( set_union2 @ X215 @ X216 ) @ X216 @ X214 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).

thf(c_0_26,plain,
    ! [X139: $i,X140: mu,X141: mu] : ( exists_in_world @ ( unordered_pair @ X140 @ X141 ) @ X139 ),
    inference(variable_rename,[status(thm)],[existence_of_unordered_pair_ax]) ).

thf(c_0_27,plain,
    ! [X125: $i,X124: mu] :
      ( ( exists_in_world @ X124 @ X125 )
     => ! [X123: mu] :
          ( ( exists_in_world @ X123 @ X125 )
         => ! [X122: mu] :
              ( ( exists_in_world @ X122 @ X125 )
             => ~ ( ~ ( ~ ( subset @ ( unordered_pair @ X124 @ X123 ) @ X122 @ X125 )
                      | ~ ( ~ ( in @ X124 @ X122 @ X125 )
                          | ~ ( in @ X123 @ X122 @ X125 ) ) )
                  | ~ ( ~ ~ ( ~ ( in @ X124 @ X122 @ X125 )
                            | ~ ( in @ X123 @ X122 @ X125 ) )
                      | ( subset @ ( unordered_pair @ X124 @ X123 ) @ X122 @ X125 ) ) ) ) ) ),
    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)],[t38_zfmisc_1]),c_0_16]),c_0_23]),c_0_18]),c_0_19])]) ).

thf(c_0_28,negated_conjecture,
    ~ ( qmltpeq @ ( set_union2 @ ( unordered_pair @ esk5_0 @ esk7_0 ) @ esk6_0 ) @ esk6_0 @ esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_29,plain,
    ! [X12: mu,X10: mu,X3: $i] :
      ( ( qmltpeq @ ( set_union2 @ X10 @ X12 ) @ X12 @ X3 )
      | ~ ( exists_in_world @ X10 @ X3 )
      | ~ ( exists_in_world @ X12 @ X3 )
      | ~ ( subset @ X10 @ X12 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_30,negated_conjecture,
    exists_in_world @ esk6_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_31,plain,
    ! [X12: mu,X10: mu,X3: $i] : ( exists_in_world @ ( unordered_pair @ X10 @ X12 ) @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_32,plain,
    ! [X217: $i,X218: mu,X219: mu,X220: mu] :
      ( ( ( in @ X218 @ X220 @ X217 )
        | ~ ( subset @ ( unordered_pair @ X218 @ X219 ) @ X220 @ X217 )
        | ~ ( exists_in_world @ X220 @ X217 )
        | ~ ( exists_in_world @ X219 @ X217 )
        | ~ ( exists_in_world @ X218 @ X217 ) )
      & ( ( in @ X219 @ X220 @ X217 )
        | ~ ( subset @ ( unordered_pair @ X218 @ X219 ) @ X220 @ X217 )
        | ~ ( exists_in_world @ X220 @ X217 )
        | ~ ( exists_in_world @ X219 @ X217 )
        | ~ ( exists_in_world @ X218 @ X217 ) )
      & ( ~ ( in @ X218 @ X220 @ X217 )
        | ~ ( in @ X219 @ X220 @ X217 )
        | ( subset @ ( unordered_pair @ X218 @ X219 ) @ X220 @ X217 )
        | ~ ( exists_in_world @ X220 @ X217 )
        | ~ ( exists_in_world @ X219 @ X217 )
        | ~ ( exists_in_world @ X218 @ X217 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).

thf(c_0_33,negated_conjecture,
    ~ ( subset @ ( unordered_pair @ esk5_0 @ esk7_0 ) @ esk6_0 @ esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).

thf(c_0_34,plain,
    ! [X12: mu,X14: mu,X10: mu,X3: $i] :
      ( ( subset @ ( unordered_pair @ X10 @ X14 ) @ X12 @ X3 )
      | ~ ( in @ X10 @ X12 @ X3 )
      | ~ ( in @ X14 @ X12 @ X3 )
      | ~ ( exists_in_world @ X12 @ X3 )
      | ~ ( exists_in_world @ X14 @ X3 )
      | ~ ( exists_in_world @ X10 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_35,negated_conjecture,
    in @ esk7_0 @ esk6_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_36,negated_conjecture,
    in @ esk5_0 @ esk6_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_37,negated_conjecture,
    exists_in_world @ esk7_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_38,negated_conjecture,
    exists_in_world @ esk5_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_30]),c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET907^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.16  % Computer : n008.cluster.edu
% 0.11/0.16  % Model    : x86_64 x86_64
% 0.11/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16  % Memory   : 8046.5625MB
% 0.11/0.16  % OS       : Linux 6.8.0-71-generic
% 0.11/0.16  % CPULimit : 300
% 0.11/0.16  % WCLimit  : 300
% 0.11/0.16  % DateTime : Tue Sep 29 13:41:39 UTC 2026
% 0.11/0.16  % CPUTime  : 
% 0.11/0.16  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.20  Running higher-order theorem proving
% 0.11/0.22  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.YKcslMW7Mu/E---3.1_3169940.p
% 0.11/0.26  % Version: 3.5.1-ho
% 0.11/0.26  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.11/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.26  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.11/0.26  % Starting post_as_ho3 with 300s (1) cores
% 0.11/0.26  % Starting new_ho_12 with 300s (1) cores
% 0.11/0.26  % Starting new_bool_2 with 300s (1) cores
% 0.11/0.26  % new_ho_10_cnf2 with pid 3169969 completed with status 0
% 0.11/0.26  % Result found by new_ho_10_cnf2
% 0.11/0.26  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.11/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.26  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.11/0.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.26  % No SInE strategy applied
% 0.11/0.26  % Search class: HHHNM-FFMS21-SHSSMFNN
% 0.11/0.26  % partial match(2): HHHNM-FFSF21-SHSSMFNN
% 0.11/0.26  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.26  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.26  % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.11/0.26  % Starting sh5l with 136s (1) cores
% 0.11/0.26  % Starting new_bool_1 with 136s (1) cores
% 0.11/0.26  % Starting new_bool_2 with 136s (1) cores
% 0.11/0.26  % SubtermCWHack with pid 3169977 completed with status 0
% 0.11/0.26  % Result found by SubtermCWHack
% 0.11/0.26  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.11/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.26  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.11/0.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.26  % No SInE strategy applied
% 0.11/0.26  % Search class: HHHNM-FFMS21-SHSSMFNN
% 0.11/0.26  % partial match(2): HHHNM-FFSF21-SHSSMFNN
% 0.11/0.26  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.26  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.26  % Preprocessing time       : 0.001 s
% 0.11/0.26  
% 0.11/0.26  % Proof found!
% 0.11/0.26  % SZS status Theorem
% 0.11/0.26  % SZS output start CNFRefutation
% See solution above
% 0.11/0.26  % Parsed axioms                        : 103
% 0.11/0.26  % Removed by relevancy pruning/SinE    : 0
% 0.11/0.26  % Initial clauses                      : 80
% 0.11/0.26  % Removed in clause preprocessing      : 41
% 0.11/0.26  % Initial clauses in saturation        : 39
% 0.11/0.26  % Processed clauses                    : 121
% 0.11/0.26  % ...of these trivial                  : 0
% 0.11/0.26  % ...subsumed                          : 36
% 0.11/0.26  % ...remaining for further processing  : 85
% 0.11/0.26  % Other redundant clauses eliminated   : 0
% 0.11/0.26  % Clauses deleted for lack of memory   : 0
% 0.11/0.26  % Backward-subsumed                    : 4
% 0.11/0.26  % Backward-rewritten                   : 0
% 0.11/0.26  % Generated clauses                    : 237
% 0.11/0.26  % ...of the previous two non-redundant : 211
% 0.11/0.26  % ...aggressively subsumed             : 0
% 0.11/0.26  % Contextual simplify-reflections      : 0
% 0.11/0.26  % Paramodulations                      : 237
% 0.11/0.26  % Factorizations                       : 0
% 0.11/0.26  % NegExts                              : 0
% 0.11/0.26  % Equation resolutions                 : 0
% 0.11/0.26  % Disequality decompositions           : 0
% 0.11/0.26  % Total rewrite steps                  : 259
% 0.11/0.26  % ...of those cached                   : 217
% 0.11/0.26  % Propositional unsat checks           : 0
% 0.11/0.26  %    Propositional check models        : 0
% 0.11/0.26  %    Propositional check unsatisfiable : 0
% 0.11/0.26  %    Propositional clauses             : 0
% 0.11/0.26  %    Propositional clauses after purity: 0
% 0.11/0.26  %    Propositional unsat core size     : 0
% 0.11/0.26  %    Propositional preprocessing time  : 0.000
% 0.11/0.26  %    Propositional encoding time       : 0.000
% 0.11/0.26  %    Propositional solver time         : 0.000
% 0.11/0.26  %    Success case prop preproc time    : 0.000
% 0.11/0.26  %    Success case prop encoding time   : 0.000
% 0.11/0.26  %    Success case prop solver time     : 0.000
% 0.11/0.26  % Current number of processed clauses  : 81
% 0.11/0.26  %    Positive orientable unit clauses  : 12
% 0.11/0.26  %    Positive unorientable unit clauses: 0
% 0.11/0.26  %    Negative unit clauses             : 6
% 0.11/0.26  %    Non-unit-clauses                  : 63
% 0.11/0.26  % Current number of unprocessed clauses: 119
% 0.11/0.26  % ...number of literals in the above   : 636
% 0.11/0.26  % Current number of archived formulas  : 0
% 0.11/0.26  % Current number of archived clauses   : 4
% 0.11/0.26  % Clause-clause subsumption calls (NU) : 1028
% 0.11/0.26  % Rec. Clause-clause subsumption calls : 475
% 0.11/0.26  % Non-unit clause-clause subsumptions  : 40
% 0.11/0.26  % Unit Clause-clause subsumption calls : 2
% 0.11/0.26  % Rewrite failures with RHS unbound    : 0
% 0.11/0.26  % BW rewrite match attempts            : 0
% 0.11/0.26  % BW rewrite match successes           : 0
% 0.11/0.26  % Condensation attempts                : 0
% 0.11/0.26  % Condensation successes               : 0
% 0.11/0.26  % Termbank termtop insertions          : 15192
% 0.11/0.26  % Search garbage collected termcells   : 4746
% 0.11/0.26  
% 0.11/0.26  % -------------------------------------------------
% 0.11/0.26  % User time                : 0.015 s
% 0.11/0.26  % System time              : 0.005 s
% 0.11/0.26  % Total time               : 0.020 s
% 0.11/0.26  % Maximum resident set size: 4516 pages
% 0.11/0.26  
% 0.11/0.26  % -------------------------------------------------
% 0.11/0.26  % User time                : 0.033 s
% 0.11/0.26  % System time              : 0.012 s
% 0.11/0.26  % Total time               : 0.045 s
% 0.11/0.26  % Maximum resident set size: 4864 pages
% 0.11/0.26  % E exiting
%------------------------------------------------------------------------------