TSTP Solution File: ITP089^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP089^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 08:06:55 EDT 2024

% Result   : Theorem 29.46s 4.29s
% Output   : CNFRefutation 29.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   74 (  47 unt;  21 typ;   0 def)
%            Number of atoms       :   85 (  28 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  389 (  37   ~;  20   |;   0   &; 320   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   58 (   0   ^  58   !;   0   ?;  58   :)

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

thf(decl_sort2,type,
    set_Secrecy_KS: $tType ).

thf(decl_sort3,type,
    secrecy_KS: $tType ).

thf(decl_sort4,type,
    set_Secrecy_specID: $tType ).

thf(decl_sort5,type,
    secrecy_Expression: $tType ).

thf(decl_sort6,type,
    secrecy_Secrets: $tType ).

thf(decl_22,type,
    localSecrets: secrecy_specID > set_Secrecy_KS ).

thf(decl_29,type,
    sup_su1712599557specID: set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).

thf(decl_40,type,
    bot_bo1785112429specID: set_Secrecy_specID ).

thf(decl_46,type,
    ine: secrecy_specID > secrecy_Expression > $o ).

thf(decl_57,type,
    secrecy_sE: secrecy_Secrets > secrecy_Expression ).

thf(decl_60,type,
    secrecy_sKS: secrecy_Secrets > secrecy_KS ).

thf(decl_70,type,
    insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).

thf(decl_81,type,
    correc965049635ionLoc: secrecy_specID > $o ).

thf(decl_89,type,
    subcomponents: secrecy_specID > set_Secrecy_specID ).

thf(decl_90,type,
    member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).

thf(decl_95,type,
    p: secrecy_specID ).

thf(decl_96,type,
    pq: secrecy_specID ).

thf(decl_97,type,
    q: secrecy_specID ).

thf(decl_98,type,
    m: secrecy_KS ).

thf(decl_99,type,
    secret: secrecy_Secrets ).

thf(fact_236_Un__insert__left,axiom,
    ! [X365: secrecy_specID,X366: set_Secrecy_specID,X367: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ ( insert1671894227specID @ X365 @ X366 ) @ X367 )
      = ( insert1671894227specID @ X365 @ ( sup_su1712599557specID @ X366 @ X367 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_236_Un__insert__left) ).

thf(fact_239_Un__insert__right,axiom,
    ! [X372: set_Secrecy_specID,X373: secrecy_specID,X374: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ X372 @ ( insert1671894227specID @ X373 @ X374 ) )
      = ( insert1671894227specID @ X373 @ ( sup_su1712599557specID @ X372 @ X374 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_239_Un__insert__right) ).

thf(fact_13_LocalSecretsComposition__ine1__s,axiom,
    ! [X5: secrecy_Secrets,X6: secrecy_specID,X7: secrecy_specID,X8: secrecy_specID] :
      ( ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X6 ) )
     => ( ( ( subcomponents @ X6 )
          = ( insert1671894227specID @ X7 @ ( insert1671894227specID @ X8 @ bot_bo1785112429specID ) ) )
       => ( ( correc965049635ionLoc @ X6 )
         => ( ~ ( ine @ X8 @ ( secrecy_sE @ X5 ) )
           => ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X7 ) )
             => ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X8 ) )
               => ( ine @ X7 @ ( secrecy_sE @ X5 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_13_LocalSecretsComposition__ine1__s) ).

thf(fact_247_Un__empty__left,axiom,
    ! [X383: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ bot_bo1785112429specID @ X383 )
      = X383 ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_247_Un__empty__left) ).

thf(fact_3_sg1b,axiom,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_3_sg1b) ).

thf(fact_4_sg2b,axiom,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_4_sg2b) ).

thf(fact_5_subPQ,axiom,
    ( ( subcomponents @ pq )
    = ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_5_subPQ) ).

thf(fact_81_insert__commute,axiom,
    ! [X44: secrecy_specID,X117: secrecy_specID,X118: set_Secrecy_specID] :
      ( ( insert1671894227specID @ X44 @ ( insert1671894227specID @ X117 @ X118 ) )
      = ( insert1671894227specID @ X117 @ ( insert1671894227specID @ X44 @ X118 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_81_insert__commute) ).

thf(fact_1_sg1a,axiom,
    ~ ( ine @ p @ ( secrecy_sE @ secret ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_1_sg1a) ).

thf(fact_2_sg2a,axiom,
    ~ ( ine @ q @ ( secrecy_sE @ secret ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_2_sg2a) ).

thf(fact_6_a2,axiom,
    ( m
    = ( secrecy_sKS @ secret ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_6_a2) ).

thf(fact_244_Un__empty__right,axiom,
    ! [X381: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ X381 @ bot_bo1785112429specID )
      = X381 ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_244_Un__empty__right) ).

thf(conj_0,conjecture,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) ),
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',conj_0) ).

thf(fact_0_cCompLoc,axiom,
    correc965049635ionLoc @ pq,
    file('/export/starexec/sandbox/tmp/tmp.lsSlFObUKD/E---3.1_20564.p',fact_0_cCompLoc) ).

thf(c_0_14,plain,
    ! [X2346: secrecy_specID,X2347: set_Secrecy_specID,X2348: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ ( insert1671894227specID @ X2346 @ X2347 ) @ X2348 )
      = ( insert1671894227specID @ X2346 @ ( sup_su1712599557specID @ X2347 @ X2348 ) ) ),
    inference(variable_rename,[status(thm)],[fact_236_Un__insert__left]) ).

thf(c_0_15,plain,
    ! [X2349: set_Secrecy_specID,X2350: secrecy_specID,X2351: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ X2349 @ ( insert1671894227specID @ X2350 @ X2351 ) )
      = ( insert1671894227specID @ X2350 @ ( sup_su1712599557specID @ X2349 @ X2351 ) ) ),
    inference(variable_rename,[status(thm)],[fact_239_Un__insert__right]) ).

thf(c_0_16,plain,
    ! [X5: secrecy_Secrets,X6: secrecy_specID,X7: secrecy_specID,X8: secrecy_specID] :
      ( ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X6 ) )
     => ( ( ( subcomponents @ X6 )
          = ( insert1671894227specID @ X7 @ ( insert1671894227specID @ X8 @ bot_bo1785112429specID ) ) )
       => ( ( correc965049635ionLoc @ X6 )
         => ( ~ ( ine @ X8 @ ( secrecy_sE @ X5 ) )
           => ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X7 ) )
             => ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X8 ) )
               => ( ine @ X7 @ ( secrecy_sE @ X5 ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_13_LocalSecretsComposition__ine1__s]) ).

thf(c_0_17,plain,
    ! [X3: secrecy_specID,X23: set_Secrecy_specID,X37: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ ( insert1671894227specID @ X3 @ X23 ) @ X37 )
      = ( insert1671894227specID @ X3 @ ( sup_su1712599557specID @ X23 @ X37 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

thf(c_0_18,plain,
    ! [X3: secrecy_specID,X23: set_Secrecy_specID,X37: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ X23 @ ( insert1671894227specID @ X3 @ X37 ) )
      = ( insert1671894227specID @ X3 @ ( sup_su1712599557specID @ X23 @ X37 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_19,plain,
    ! [X2353: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ bot_bo1785112429specID @ X2353 )
      = X2353 ),
    inference(variable_rename,[status(thm)],[fact_247_Un__empty__left]) ).

thf(c_0_20,plain,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
    inference(fof_simplification,[status(thm)],[fact_3_sg1b]) ).

thf(c_0_21,plain,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
    inference(fof_simplification,[status(thm)],[fact_4_sg2b]) ).

thf(c_0_22,plain,
    ! [X1587: secrecy_Secrets,X1588: secrecy_specID,X1589: secrecy_specID,X1590: secrecy_specID] :
      ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X1587 ) @ ( localSecrets @ X1588 ) )
      | ( ( subcomponents @ X1588 )
       != ( insert1671894227specID @ X1589 @ ( insert1671894227specID @ X1590 @ bot_bo1785112429specID ) ) )
      | ~ ( correc965049635ionLoc @ X1588 )
      | ( ine @ X1590 @ ( secrecy_sE @ X1587 ) )
      | ( member_Secrecy_KS @ ( secrecy_sKS @ X1587 ) @ ( localSecrets @ X1589 ) )
      | ( member_Secrecy_KS @ ( secrecy_sKS @ X1587 ) @ ( localSecrets @ X1590 ) )
      | ( ine @ X1589 @ ( secrecy_sE @ X1587 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

thf(c_0_23,plain,
    ! [X3: secrecy_specID,X23: set_Secrecy_specID,X37: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ ( insert1671894227specID @ X3 @ X23 ) @ X37 )
      = ( sup_su1712599557specID @ X23 @ ( insert1671894227specID @ X3 @ X37 ) ) ),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

thf(c_0_24,plain,
    ( ( subcomponents @ pq )
    = ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
    inference(split_conjunct,[status(thm)],[fact_5_subPQ]) ).

thf(c_0_25,plain,
    ! [X23: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ bot_bo1785112429specID @ X23 )
      = X23 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

thf(c_0_26,plain,
    ! [X1751: secrecy_specID,X1752: secrecy_specID,X1753: set_Secrecy_specID] :
      ( ( insert1671894227specID @ X1751 @ ( insert1671894227specID @ X1752 @ X1753 ) )
      = ( insert1671894227specID @ X1752 @ ( insert1671894227specID @ X1751 @ X1753 ) ) ),
    inference(variable_rename,[status(thm)],[fact_81_insert__commute]) ).

thf(c_0_27,plain,
    ~ ( ine @ p @ ( secrecy_sE @ secret ) ),
    inference(fof_simplification,[status(thm)],[fact_1_sg1a]) ).

thf(c_0_28,plain,
    ~ ( ine @ q @ ( secrecy_sE @ secret ) ),
    inference(fof_simplification,[status(thm)],[fact_2_sg2a]) ).

thf(c_0_29,plain,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
    inference(fof_nnf,[status(thm)],[c_0_20]) ).

thf(c_0_30,plain,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
    inference(fof_nnf,[status(thm)],[c_0_21]) ).

thf(c_0_31,plain,
    ! [X1: secrecy_Secrets,X7: secrecy_specID,X6: secrecy_specID,X3: secrecy_specID] :
      ( ( ine @ X7 @ ( secrecy_sE @ X1 ) )
      | ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X6 ) )
      | ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X7 ) )
      | ( ine @ X6 @ ( secrecy_sE @ X1 ) )
      | ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X3 ) )
      | ( ( subcomponents @ X3 )
       != ( insert1671894227specID @ X6 @ ( insert1671894227specID @ X7 @ bot_bo1785112429specID ) ) )
      | ~ ( correc965049635ionLoc @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_32,plain,
    ( m
    = ( secrecy_sKS @ secret ) ),
    inference(split_conjunct,[status(thm)],[fact_6_a2]) ).

thf(c_0_33,plain,
    ! [X23: set_Secrecy_specID] :
      ( ( insert1671894227specID @ q @ ( insert1671894227specID @ p @ X23 ) )
      = ( sup_su1712599557specID @ ( subcomponents @ pq ) @ X23 ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_23]),c_0_25]) ).

thf(c_0_34,plain,
    ! [X3: secrecy_specID,X6: secrecy_specID,X23: set_Secrecy_specID] :
      ( ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X6 @ X23 ) )
      = ( insert1671894227specID @ X6 @ ( insert1671894227specID @ X3 @ X23 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_35,plain,
    ! [X2352: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ X2352 @ bot_bo1785112429specID )
      = X2352 ),
    inference(variable_rename,[status(thm)],[fact_244_Un__empty__right]) ).

thf(c_0_36,plain,
    ~ ( ine @ p @ ( secrecy_sE @ secret ) ),
    inference(fof_nnf,[status(thm)],[c_0_27]) ).

thf(c_0_37,plain,
    ~ ( ine @ q @ ( secrecy_sE @ secret ) ),
    inference(fof_nnf,[status(thm)],[c_0_28]) ).

thf(c_0_38,plain,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_39,plain,
    ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_40,negated_conjecture,
    member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_41,plain,
    ! [X3: secrecy_specID,X6: secrecy_specID,X7: secrecy_specID] :
      ( ( ine @ X3 @ ( secrecy_sE @ secret ) )
      | ( ine @ X6 @ ( secrecy_sE @ secret ) )
      | ( member_Secrecy_KS @ m @ ( localSecrets @ X3 ) )
      | ( member_Secrecy_KS @ m @ ( localSecrets @ X6 ) )
      | ( ( subcomponents @ X7 )
       != ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
      | ~ ( member_Secrecy_KS @ m @ ( localSecrets @ X7 ) )
      | ~ ( correc965049635ionLoc @ X7 ) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

thf(c_0_42,plain,
    ! [X23: set_Secrecy_specID] :
      ( ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ X23 ) )
      = ( sup_su1712599557specID @ ( subcomponents @ pq ) @ X23 ) ),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

thf(c_0_43,plain,
    ! [X23: set_Secrecy_specID] :
      ( ( sup_su1712599557specID @ X23 @ bot_bo1785112429specID )
      = X23 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_44,plain,
    ~ ( ine @ p @ ( secrecy_sE @ secret ) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

thf(c_0_45,plain,
    ~ ( ine @ q @ ( secrecy_sE @ secret ) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

thf(c_0_46,plain,
    ~ ( member_Secrecy_KS @ m @ ( localSecrets @ p ) ),
    inference(rw,[status(thm)],[c_0_38,c_0_32]) ).

thf(c_0_47,plain,
    ~ ( member_Secrecy_KS @ m @ ( localSecrets @ q ) ),
    inference(rw,[status(thm)],[c_0_39,c_0_32]) ).

thf(c_0_48,negated_conjecture,
    member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

thf(c_0_49,plain,
    ! [X3: secrecy_specID] :
      ( ( ( subcomponents @ X3 )
       != ( subcomponents @ pq ) )
      | ~ ( member_Secrecy_KS @ m @ ( localSecrets @ X3 ) )
      | ~ ( correc965049635ionLoc @ X3 ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]) ).

thf(c_0_50,negated_conjecture,
    member_Secrecy_KS @ m @ ( localSecrets @ pq ),
    inference(rw,[status(thm)],[c_0_48,c_0_32]) ).

thf(c_0_51,plain,
    correc965049635ionLoc @ pq,
    inference(split_conjunct,[status(thm)],[fact_0_cCompLoc]) ).

thf(c_0_52,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : ITP089^1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 13:03:36 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  Running higher-order theorem proving
% 0.19/0.49  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.lsSlFObUKD/E---3.1_20564.p
% 29.46/4.29  # Version: 3.1.0-ho
% 29.46/4.29  # Preprocessing class: HSLSSMSMSSMNSFA.
% 29.46/4.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.46/4.29  # Starting new_ho_3 with 1500s (5) cores
% 29.46/4.29  # Starting pre_casc_2 with 300s (1) cores
% 29.46/4.29  # Starting additional_ho_7 with 300s (1) cores
% 29.46/4.29  # Starting lpo8_s with 300s (1) cores
% 29.46/4.29  # new_ho_3 with pid 20642 completed with status 0
% 29.46/4.29  # Result found by new_ho_3
% 29.46/4.29  # Preprocessing class: HSLSSMSMSSMNSFA.
% 29.46/4.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.46/4.29  # Starting new_ho_3 with 1500s (5) cores
% 29.46/4.29  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 29.46/4.29  # Search class: HGHSM-FSLS32-SSFFFFBN
% 29.46/4.29  # partial match(1): HGHSM-FSLM32-SSFFFFBN
% 29.46/4.29  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 29.46/4.29  # Starting new_bool_3 with 811s (1) cores
% 29.46/4.29  # Starting new_ho_3 with 151s (1) cores
% 29.46/4.29  # Starting new_bool_1 with 136s (1) cores
% 29.46/4.29  # Starting new_bool_4 with 136s (1) cores
% 29.46/4.29  # Starting sh9 with 136s (1) cores
% 29.46/4.29  # sh9 with pid 20652 completed with status 0
% 29.46/4.29  # Result found by sh9
% 29.46/4.29  # Preprocessing class: HSLSSMSMSSMNSFA.
% 29.46/4.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.46/4.29  # Starting new_ho_3 with 1500s (5) cores
% 29.46/4.29  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 29.46/4.29  # Search class: HGHSM-FSLS32-SSFFFFBN
% 29.46/4.29  # partial match(1): HGHSM-FSLM32-SSFFFFBN
% 29.46/4.29  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 29.46/4.29  # Starting new_bool_3 with 811s (1) cores
% 29.46/4.29  # Starting new_ho_3 with 151s (1) cores
% 29.46/4.29  # Starting new_bool_1 with 136s (1) cores
% 29.46/4.29  # Starting new_bool_4 with 136s (1) cores
% 29.46/4.29  # Starting sh9 with 136s (1) cores
% 29.46/4.29  # Preprocessing time       : 0.009 s
% 29.46/4.29  # Presaturation interreduction done
% 29.46/4.29  
% 29.46/4.29  # Proof found!
% 29.46/4.29  # SZS status Theorem
% 29.46/4.29  # SZS output start CNFRefutation
% See solution above
% 29.46/4.29  # Parsed axioms                        : 447
% 29.46/4.29  # Removed by relevancy pruning/SinE    : 149
% 29.46/4.29  # Initial clauses                      : 612
% 29.46/4.29  # Removed in clause preprocessing      : 25
% 29.46/4.29  # Initial clauses in saturation        : 587
% 29.46/4.29  # Processed clauses                    : 13999
% 29.46/4.29  # ...of these trivial                  : 701
% 29.46/4.29  # ...subsumed                          : 9542
% 29.46/4.29  # ...remaining for further processing  : 3756
% 29.46/4.29  # Other redundant clauses eliminated   : 830
% 29.46/4.29  # Clauses deleted for lack of memory   : 0
% 29.46/4.29  # Backward-subsumed                    : 113
% 29.46/4.29  # Backward-rewritten                   : 40
% 29.46/4.29  # Generated clauses                    : 173646
% 29.46/4.29  # ...of the previous two non-redundant : 148414
% 29.46/4.29  # ...aggressively subsumed             : 0
% 29.46/4.29  # Contextual simplify-reflections      : 74
% 29.46/4.29  # Paramodulations                      : 172758
% 29.46/4.29  # Factorizations                       : 41
% 29.46/4.29  # NegExts                              : 0
% 29.46/4.29  # Equation resolutions                 : 883
% 29.46/4.29  # Disequality decompositions           : 0
% 29.46/4.29  # Total rewrite steps                  : 91516
% 29.46/4.29  # ...of those cached                   : 87006
% 29.46/4.29  # Propositional unsat checks           : 0
% 29.46/4.29  #    Propositional check models        : 0
% 29.46/4.29  #    Propositional check unsatisfiable : 0
% 29.46/4.29  #    Propositional clauses             : 0
% 29.46/4.29  #    Propositional clauses after purity: 0
% 29.46/4.29  #    Propositional unsat core size     : 0
% 29.46/4.29  #    Propositional preprocessing time  : 0.000
% 29.46/4.29  #    Propositional encoding time       : 0.000
% 29.46/4.29  #    Propositional solver time         : 0.000
% 29.46/4.29  #    Success case prop preproc time    : 0.000
% 29.46/4.29  #    Success case prop encoding time   : 0.000
% 29.46/4.29  #    Success case prop solver time     : 0.000
% 29.46/4.29  # Current number of processed clauses  : 3153
% 29.46/4.29  #    Positive orientable unit clauses  : 624
% 29.46/4.29  #    Positive unorientable unit clauses: 15
% 29.46/4.29  #    Negative unit clauses             : 51
% 29.46/4.29  #    Non-unit-clauses                  : 2463
% 29.46/4.29  # Current number of unprocessed clauses: 135266
% 29.46/4.29  # ...number of literals in the above   : 476559
% 29.46/4.29  # Current number of archived formulas  : 0
% 29.46/4.29  # Current number of archived clauses   : 524
% 29.46/4.29  # Clause-clause subsumption calls (NU) : 1041837
% 29.46/4.29  # Rec. Clause-clause subsumption calls : 565744
% 29.46/4.29  # Non-unit clause-clause subsumptions  : 6388
% 29.46/4.29  # Unit Clause-clause subsumption calls : 6799
% 29.46/4.29  # Rewrite failures with RHS unbound    : 0
% 29.46/4.29  # BW rewrite match attempts            : 4645
% 29.46/4.29  # BW rewrite match successes           : 245
% 29.46/4.29  # Condensation attempts                : 13999
% 29.46/4.29  # Condensation successes               : 77
% 29.46/4.29  # Termbank termtop insertions          : 3202803
% 29.46/4.29  # Search garbage collected termcells   : 16134
% 29.46/4.29  
% 29.46/4.29  # -------------------------------------------------
% 29.46/4.29  # User time                : 3.620 s
% 29.46/4.29  # System time              : 0.096 s
% 29.46/4.29  # Total time               : 3.716 s
% 29.46/4.29  # Maximum resident set size: 5256 pages
% 29.46/4.29  
% 29.46/4.29  # -------------------------------------------------
% 29.46/4.29  # User time                : 18.055 s
% 29.46/4.29  # System time              : 0.423 s
% 29.46/4.29  # Total time               : 18.478 s
% 29.46/4.29  # Maximum resident set size: 2620 pages
% 29.46/4.29  % E---3.1 exiting
% 29.46/4.29  % E exiting
%------------------------------------------------------------------------------