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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : PLA032^7 : 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 : n020.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 08:20:22 AM UTC 2026

% Result   : Theorem 0.12s 0.28s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   45 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  153 (  21 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  358 (  66   ~;  45   |;   5   &; 234   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   4 con; 0-3 aty)
%            Number of variables   :   94 (  50   ^;  44   !;   0   ?;  94   :)

% 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_37,type,
    exists_in_world: mu > $i > $o ).

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

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

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

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

thf(decl_55,type,
    rel_s4: $i > $i > $o ).

thf(decl_56,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

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

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

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

thf(decl_64,type,
    esk4_3: $i > $i > mu > mu ).

thf(decl_65,type,
    esk5_0: $i ).

thf(decl_66,type,
    esk6_0: $i ).

thf(decl_67,type,
    esk7_0: mu ).

thf(mand,axiom,
    ( mand
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',mand) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X4: $i > $o,X3: $i] :
          ~ ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
          | ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',mor) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',mimplies) ).

thf(mexists_ind,axiom,
    ( mexists_ind
    = ( ^ [X13: mu > $i > $o] :
          ( mnot
          @ ( mforall_ind
            @ ^ [X14: mu] : ( mnot @ ( X13 @ X14 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',mexists_ind) ).

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.O828P6XGs3/E---3.1_1032129.p',mforall_ind) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X4: $i > $o] :
        ! [X3: $i] : ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',mvalid) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [X4: $i > $o,X3: $i] :
        ! [X7: $i] :
          ( ~ ( rel_s4 @ X3 @ X7 )
          | ( X4 @ X7 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',mbox_s4) ).

thf(con,conjecture,
    ( mvalid
    @ ( mbox_s4
      @ ( mforall_ind
        @ ^ [X25: mu] :
            ( mexists_ind
            @ ^ [X24: mu] : ( mimplies @ ( mand @ ( bomb @ X25 ) @ ( h @ X24 ) ) @ ( defused @ X25 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',con) ).

thf(ax3,axiom,
    ( mvalid
    @ ( mbox_s4
      @ ( mforall_ind
        @ ^ [X23: mu] :
            ( mexists_ind
            @ ^ [X24: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( bomb @ X23 ) @ ( h @ X24 ) ) @ ( defused @ X23 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',ax3) ).

thf(mreflexive,axiom,
    ( mreflexive
    = ( ^ [X6: $i > $i > $o] :
        ! [X16: $i] : ( X6 @ X16 @ X16 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',mreflexive) ).

thf(a1,axiom,
    mreflexive @ rel_s4,
    file('/export/starexec/sandbox2/tmp/tmp.O828P6XGs3/E---3.1_1032129.p',a1) ).

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

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

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

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

thf(c_0_16,plain,
    ( mexists_ind
    = ( ^ [Z0: mu > $i > $o,Z1: $i] :
          ~ ! [X32: mu] :
              ( ( exists_in_world @ X32 @ Z1 )
             => ~ ( Z0 @ X32 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mexists_ind]) ).

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,
    ( 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_12,c_0_13]),c_0_14]) ).

thf(c_0_19,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_15,c_0_13]),c_0_14]) ).

thf(c_0_20,plain,
    ( mexists_ind
    = ( ^ [Z0: mu > $i > $o,Z1: $i] :
          ~ ! [X32: mu] :
              ( ( exists_in_world @ X32 @ Z1 )
             => ~ ( Z0 @ X32 @ Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_16,c_0_13]),c_0_17]) ).

thf(c_0_21,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_22,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_23,negated_conjecture,
    ~ ( mvalid
      @ ( mbox_s4
        @ ( mforall_ind
          @ ^ [X25: mu] :
              ( mexists_ind
              @ ^ [X24: mu] : ( mimplies @ ( mand @ ( bomb @ X25 ) @ ( h @ X24 ) ) @ ( defused @ X25 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_24,plain,
    ! [X51: $i,X50: $i] :
      ( ~ ( rel_s4 @ X51 @ X50 )
      | ! [X49: mu] :
          ( ( exists_in_world @ X49 @ X50 )
         => ~ ! [X48: mu] :
                ( ( exists_in_world @ X48 @ X50 )
               => ~ ! [X47: $i] :
                      ( ~ ( rel_s4 @ X50 @ X47 )
                      | ~ ~ ( ~ ( bomb @ X49 @ X47 )
                            | ~ ( h @ X48 @ X47 ) )
                      | ( defused @ X49 @ X47 ) ) ) ) ),
    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)],[ax3]),c_0_18]),c_0_19]),c_0_17]),c_0_20]),c_0_21]),c_0_22])]) ).

thf(c_0_25,negated_conjecture,
    ~ ! [X55: $i,X54: $i] :
        ( ~ ( rel_s4 @ X55 @ X54 )
        | ! [X53: mu] :
            ( ( exists_in_world @ X53 @ X54 )
           => ~ ! [X52: mu] :
                  ( ( exists_in_world @ X52 @ X54 )
                 => ~ ( ~ ~ ( ~ ( bomb @ X53 @ X54 )
                            | ~ ( h @ X52 @ X54 ) )
                      | ( defused @ X53 @ X54 ) ) ) ) ),
    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)],[c_0_23]),c_0_18]),c_0_19]),c_0_17]),c_0_20]),c_0_21]),c_0_22])]) ).

thf(c_0_26,plain,
    ( mreflexive
    = ( ^ [Z0: $i > $i > $o] :
        ! [X16: $i] : ( Z0 @ X16 @ X16 ) ) ),
    inference(fof_simplification,[status(thm)],[mreflexive]) ).

thf(c_0_27,plain,
    ! [X73: $i,X74: $i,X75: mu,X77: $i] :
      ( ( ( exists_in_world @ ( esk4_3 @ X73 @ X74 @ X75 ) @ X74 )
        | ~ ( exists_in_world @ X75 @ X74 )
        | ~ ( rel_s4 @ X73 @ X74 ) )
      & ( ~ ( rel_s4 @ X74 @ X77 )
        | ~ ( bomb @ X75 @ X77 )
        | ~ ( h @ ( esk4_3 @ X73 @ X74 @ X75 ) @ X77 )
        | ( defused @ X75 @ X77 )
        | ~ ( exists_in_world @ X75 @ X74 )
        | ~ ( rel_s4 @ X73 @ X74 ) ) ),
    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_24])])])])])]) ).

thf(c_0_28,negated_conjecture,
    ! [X81: mu] :
      ( ( rel_s4 @ esk5_0 @ esk6_0 )
      & ( exists_in_world @ esk7_0 @ esk6_0 )
      & ( ( bomb @ esk7_0 @ esk6_0 )
        | ~ ( exists_in_world @ X81 @ esk6_0 ) )
      & ( ( h @ X81 @ esk6_0 )
        | ~ ( exists_in_world @ X81 @ esk6_0 ) )
      & ( ~ ( defused @ esk7_0 @ esk6_0 )
        | ~ ( exists_in_world @ X81 @ esk6_0 ) ) ),
    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_25])])])])])]) ).

thf(c_0_29,plain,
    ! [X35: $i] : ( rel_s4 @ X35 @ X35 ),
    inference(apply_def,[status(thm)],[a1,c_0_26]) ).

thf(c_0_30,plain,
    ! [X10: mu,X16: $i,X7: $i,X3: $i] :
      ( ( defused @ X10 @ X7 )
      | ~ ( rel_s4 @ X3 @ X7 )
      | ~ ( bomb @ X10 @ X7 )
      | ~ ( h @ ( esk4_3 @ X16 @ X3 @ X10 ) @ X7 )
      | ~ ( exists_in_world @ X10 @ X3 )
      | ~ ( rel_s4 @ X16 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

thf(c_0_31,negated_conjecture,
    ! [X10: mu] :
      ( ( h @ X10 @ esk6_0 )
      | ~ ( exists_in_world @ X10 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_32,plain,
    ! [X58: $i] : ( rel_s4 @ X58 @ X58 ),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

thf(c_0_33,negated_conjecture,
    ! [X3: $i,X10: mu,X7: $i] :
      ( ( defused @ X10 @ esk6_0 )
      | ~ ( exists_in_world @ ( esk4_3 @ X3 @ X7 @ X10 ) @ esk6_0 )
      | ~ ( rel_s4 @ X7 @ esk6_0 )
      | ~ ( bomb @ X10 @ esk6_0 )
      | ~ ( rel_s4 @ X3 @ X7 )
      | ~ ( exists_in_world @ X10 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_34,plain,
    ! [X3: $i,X10: mu,X7: $i] :
      ( ( exists_in_world @ ( esk4_3 @ X3 @ X7 @ X10 ) @ X7 )
      | ~ ( exists_in_world @ X10 @ X7 )
      | ~ ( rel_s4 @ X3 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

thf(c_0_35,plain,
    ! [X3: $i] : ( rel_s4 @ X3 @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_36,negated_conjecture,
    ! [X3: $i,X10: mu] :
      ( ( defused @ X10 @ esk6_0 )
      | ~ ( bomb @ X10 @ esk6_0 )
      | ~ ( rel_s4 @ X3 @ esk6_0 )
      | ~ ( exists_in_world @ X10 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

thf(c_0_37,negated_conjecture,
    rel_s4 @ esk5_0 @ esk6_0,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_38,negated_conjecture,
    ! [X10: mu] :
      ( ( bomb @ esk7_0 @ esk6_0 )
      | ~ ( exists_in_world @ X10 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_39,negated_conjecture,
    exists_in_world @ esk7_0 @ esk6_0,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_40,negated_conjecture,
    ! [X10: mu] :
      ( ~ ( defused @ esk7_0 @ esk6_0 )
      | ~ ( exists_in_world @ X10 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_41,negated_conjecture,
    ! [X10: mu] :
      ( ( defused @ X10 @ esk6_0 )
      | ~ ( bomb @ X10 @ esk6_0 )
      | ~ ( exists_in_world @ X10 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

thf(c_0_42,negated_conjecture,
    bomb @ esk7_0 @ esk6_0,
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

thf(c_0_43,negated_conjecture,
    ! [X10: mu] :
      ~ ( exists_in_world @ X10 @ esk6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_39])]) ).

thf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_39,c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA032^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18  % Computer : n020.cluster.edu
% 0.12/0.18  % Model    : x86_64 x86_64
% 0.12/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18  % Memory   : 8046.5625MB
% 0.12/0.18  % OS       : Linux 6.8.0-71-generic
% 0.12/0.18  % CPULimit : 300
% 0.12/0.18  % WCLimit  : 300
% 0.12/0.18  % DateTime : Tue Sep 29 13:21:19 UTC 2026
% 0.12/0.18  % CPUTime  : 
% 0.12/0.18  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23  Running higher-order theorem proving
% 0.12/0.25  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.O828P6XGs3/E---3.1_1032129.p
% 0.12/0.28  % Version: 3.5.1-ho
% 0.12/0.28  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.12/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.28  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.28  % Starting post_as_ho3 with 300s (1) cores
% 0.12/0.28  % Starting new_ho_12 with 300s (1) cores
% 0.12/0.28  % Starting new_bool_2 with 300s (1) cores
% 0.12/0.28  % post_as_ho3 with pid 1032144 completed with status 0
% 0.12/0.28  % Result found by post_as_ho3
% 0.12/0.28  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.12/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.28  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.28  % Starting post_as_ho3 with 300s (1) cores
% 0.12/0.28  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.28  % No SInE strategy applied
% 0.12/0.28  % Search class: HHHNS-FFSF31-SHSSMFNN
% 0.12/0.28  % partial match(1): HHHNS-FFSF11-SHSSMFNN
% 0.12/0.28  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.28  % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.28  % SubtermCWHack with pid 1032149 completed with status 0
% 0.12/0.28  % Result found by SubtermCWHack
% 0.12/0.28  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.12/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.28  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.28  % Starting post_as_ho3 with 300s (1) cores
% 0.12/0.28  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.28  % No SInE strategy applied
% 0.12/0.28  % Search class: HHHNS-FFSF31-SHSSMFNN
% 0.12/0.28  % partial match(1): HHHNS-FFSF11-SHSSMFNN
% 0.12/0.28  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.28  % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.28  % Preprocessing time       : 0.002 s
% 0.12/0.28  
% 0.12/0.28  % Proof found!
% 0.12/0.28  % SZS status Theorem
% 0.12/0.28  % SZS output start CNFRefutation
% See solution above
% 0.12/0.28  % Parsed axioms                        : 79
% 0.12/0.28  % Removed by relevancy pruning/SinE    : 0
% 0.12/0.28  % Initial clauses                      : 54
% 0.12/0.28  % Removed in clause preprocessing      : 39
% 0.12/0.28  % Initial clauses in saturation        : 15
% 0.12/0.28  % Processed clauses                    : 32
% 0.12/0.28  % ...of these trivial                  : 0
% 0.12/0.28  % ...subsumed                          : 2
% 0.12/0.28  % ...remaining for further processing  : 30
% 0.12/0.28  % Other redundant clauses eliminated   : 0
% 0.12/0.28  % Clauses deleted for lack of memory   : 0
% 0.12/0.28  % Backward-subsumed                    : 7
% 0.12/0.28  % Backward-rewritten                   : 1
% 0.12/0.28  % Generated clauses                    : 34
% 0.12/0.28  % ...of the previous two non-redundant : 22
% 0.12/0.28  % ...aggressively subsumed             : 0
% 0.12/0.28  % Contextual simplify-reflections      : 1
% 0.12/0.28  % Paramodulations                      : 31
% 0.12/0.28  % Factorizations                       : 0
% 0.12/0.28  % NegExts                              : 0
% 0.12/0.28  % Equation resolutions                 : 0
% 0.12/0.28  % Disequality decompositions           : 0
% 0.12/0.28  % Total rewrite steps                  : 12
% 0.12/0.28  % ...of those cached                   : 8
% 0.12/0.28  % Propositional unsat checks           : 0
% 0.12/0.28  %    Propositional check models        : 0
% 0.12/0.28  %    Propositional check unsatisfiable : 0
% 0.12/0.28  %    Propositional clauses             : 0
% 0.12/0.28  %    Propositional clauses after purity: 0
% 0.12/0.28  %    Propositional unsat core size     : 0
% 0.12/0.28  %    Propositional preprocessing time  : 0.000
% 0.12/0.28  %    Propositional encoding time       : 0.000
% 0.12/0.28  %    Propositional solver time         : 0.000
% 0.12/0.28  %    Success case prop preproc time    : 0.000
% 0.12/0.28  %    Success case prop encoding time   : 0.000
% 0.12/0.28  %    Success case prop solver time     : 0.000
% 0.12/0.28  % Current number of processed clauses  : 19
% 0.12/0.28  %    Positive orientable unit clauses  : 5
% 0.12/0.28  %    Positive unorientable unit clauses: 0
% 0.12/0.28  %    Negative unit clauses             : 1
% 0.12/0.28  %    Non-unit-clauses                  : 13
% 0.12/0.28  % Current number of unprocessed clauses: 2
% 0.12/0.28  % ...number of literals in the above   : 7
% 0.12/0.28  % Current number of archived formulas  : 0
% 0.12/0.28  % Current number of archived clauses   : 11
% 0.12/0.28  % Clause-clause subsumption calls (NU) : 68
% 0.12/0.28  % Rec. Clause-clause subsumption calls : 28
% 0.12/0.28  % Non-unit clause-clause subsumptions  : 5
% 0.12/0.28  % Unit Clause-clause subsumption calls : 7
% 0.12/0.28  % Rewrite failures with RHS unbound    : 0
% 0.12/0.28  % BW rewrite match attempts            : 2
% 0.12/0.28  % BW rewrite match successes           : 1
% 0.12/0.28  % Condensation attempts                : 0
% 0.12/0.28  % Condensation successes               : 0
% 0.12/0.28  % Termbank termtop insertions          : 4834
% 0.12/0.28  % Search garbage collected termcells   : 1462
% 0.12/0.28  
% 0.12/0.28  % -------------------------------------------------
% 0.12/0.28  % User time                : 0.009 s
% 0.12/0.28  % System time              : 0.003 s
% 0.12/0.28  % Total time               : 0.012 s
% 0.12/0.28  % Maximum resident set size: 4220 pages
% 0.12/0.28  
% 0.12/0.28  % -------------------------------------------------
% 0.12/0.28  % User time                : 0.011 s
% 0.12/0.28  % System time              : 0.008 s
% 0.12/0.28  % Total time               : 0.020 s
% 0.12/0.28  % Maximum resident set size: 4864 pages
% 0.12/0.28  % E exiting
%------------------------------------------------------------------------------