TSTP Solution File: SEU391+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SEU391+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:26:17 EDT 2023

% Result   : Theorem 0.54s 1.04s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   48 (  14 unt;   0 def)
%            Number of atoms       :  188 (  19 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  218 (  78   ~;  86   |;  36   &)
%                                         (   4 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   67 (   0 sgn;  38   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(dt_k2_yellow19,axiom,
    ! [X1,X2] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1)
        & ~ empty_carrier(X2)
        & net_str(X2,X1) )
     => element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.yQUQq5Re1r/E---3.1_19809.p',dt_k2_yellow19) ).

fof(t4_waybel_7,lemma,
    ! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
    file('/export/starexec/sandbox2/tmp/tmp.yQUQq5Re1r/E---3.1_19809.p',t4_waybel_7) ).

fof(t11_yellow19,conjecture,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( in(X3,filter_of_net_str(X1,X2))
            <=> ( is_eventually_in(X1,X2,X3)
                & element(X3,powerset(the_carrier(X1))) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yQUQq5Re1r/E---3.1_19809.p',t11_yellow19) ).

fof(d3_yellow19,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yQUQq5Re1r/E---3.1_19809.p',d3_yellow19) ).

fof(fraenkel_a_2_1_yellow19,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X2)
        & one_sorted_str(X2)
        & ~ empty_carrier(X3)
        & net_str(X3,X2) )
     => ( in(X1,a_2_1_yellow19(X2,X3))
      <=> ? [X4] :
            ( element(X4,powerset(the_carrier(X2)))
            & X1 = X4
            & is_eventually_in(X2,X3,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yQUQq5Re1r/E---3.1_19809.p',fraenkel_a_2_1_yellow19) ).

fof(t4_subset,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.yQUQq5Re1r/E---3.1_19809.p',t4_subset) ).

fof(d3_pre_topc,axiom,
    ! [X1] :
      ( one_sorted_str(X1)
     => cast_as_carrier_subset(X1) = the_carrier(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yQUQq5Re1r/E---3.1_19809.p',d3_pre_topc) ).

fof(c_0_7,plain,
    ! [X1,X2] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1)
        & ~ empty_carrier(X2)
        & net_str(X2,X1) )
     => element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
    inference(fof_simplification,[status(thm)],[dt_k2_yellow19]) ).

fof(c_0_8,plain,
    ! [X62,X63] :
      ( empty_carrier(X62)
      | ~ one_sorted_str(X62)
      | empty_carrier(X63)
      | ~ net_str(X63,X62)
      | element(filter_of_net_str(X62,X63),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X62))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).

fof(c_0_9,lemma,
    ! [X142] : the_carrier(boole_POSet(X142)) = powerset(X142),
    inference(variable_rename,[status(thm)],[t4_waybel_7]) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ empty_carrier(X1)
          & one_sorted_str(X1) )
       => ! [X2] :
            ( ( ~ empty_carrier(X2)
              & net_str(X2,X1) )
           => ! [X3] :
                ( in(X3,filter_of_net_str(X1,X2))
              <=> ( is_eventually_in(X1,X2,X3)
                  & element(X3,powerset(the_carrier(X1))) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t11_yellow19])]) ).

fof(c_0_11,plain,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[d3_yellow19]) ).

cnf(c_0_12,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,lemma,
    the_carrier(boole_POSet(X1)) = powerset(X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_14,negated_conjecture,
    ( ~ empty_carrier(esk1_0)
    & one_sorted_str(esk1_0)
    & ~ empty_carrier(esk2_0)
    & net_str(esk2_0,esk1_0)
    & ( ~ in(esk3_0,filter_of_net_str(esk1_0,esk2_0))
      | ~ is_eventually_in(esk1_0,esk2_0,esk3_0)
      | ~ element(esk3_0,powerset(the_carrier(esk1_0))) )
    & ( is_eventually_in(esk1_0,esk2_0,esk3_0)
      | in(esk3_0,filter_of_net_str(esk1_0,esk2_0)) )
    & ( element(esk3_0,powerset(the_carrier(esk1_0)))
      | in(esk3_0,filter_of_net_str(esk1_0,esk2_0)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_15,plain,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X2)
        & one_sorted_str(X2)
        & ~ empty_carrier(X3)
        & net_str(X3,X2) )
     => ( in(X1,a_2_1_yellow19(X2,X3))
      <=> ? [X4] :
            ( element(X4,powerset(the_carrier(X2)))
            & X1 = X4
            & is_eventually_in(X2,X3,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[fraenkel_a_2_1_yellow19]) ).

fof(c_0_16,plain,
    ! [X60,X61] :
      ( empty_carrier(X60)
      | ~ one_sorted_str(X60)
      | empty_carrier(X61)
      | ~ net_str(X61,X60)
      | filter_of_net_str(X60,X61) = a_2_1_yellow19(X60,X61) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_17,plain,
    ! [X34,X35,X36] :
      ( ~ in(X34,X35)
      | ~ element(X35,powerset(X36))
      | element(X34,X36) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).

cnf(c_0_18,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(filter_of_net_str(X1,X2),powerset(powerset(cast_as_carrier_subset(X1))))
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1) ),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    net_str(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    one_sorted_str(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    ~ empty_carrier(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ~ empty_carrier(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_23,plain,
    ! [X143] :
      ( ~ one_sorted_str(X143)
      | cast_as_carrier_subset(X143) = the_carrier(X143) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pre_topc])]) ).

fof(c_0_24,plain,
    ! [X134,X135,X136,X138] :
      ( ( element(esk22_3(X134,X135,X136),powerset(the_carrier(X135)))
        | ~ in(X134,a_2_1_yellow19(X135,X136))
        | empty_carrier(X135)
        | ~ one_sorted_str(X135)
        | empty_carrier(X136)
        | ~ net_str(X136,X135) )
      & ( X134 = esk22_3(X134,X135,X136)
        | ~ in(X134,a_2_1_yellow19(X135,X136))
        | empty_carrier(X135)
        | ~ one_sorted_str(X135)
        | empty_carrier(X136)
        | ~ net_str(X136,X135) )
      & ( is_eventually_in(X135,X136,esk22_3(X134,X135,X136))
        | ~ in(X134,a_2_1_yellow19(X135,X136))
        | empty_carrier(X135)
        | ~ one_sorted_str(X135)
        | empty_carrier(X136)
        | ~ net_str(X136,X135) )
      & ( ~ element(X138,powerset(the_carrier(X135)))
        | X134 != X138
        | ~ is_eventually_in(X135,X136,X138)
        | in(X134,a_2_1_yellow19(X135,X136))
        | empty_carrier(X135)
        | ~ one_sorted_str(X135)
        | empty_carrier(X136)
        | ~ net_str(X136,X135) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).

cnf(c_0_25,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,plain,
    ( element(X1,X3)
    | ~ in(X1,X2)
    | ~ element(X2,powerset(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ( element(esk3_0,powerset(the_carrier(esk1_0)))
    | in(esk3_0,filter_of_net_str(esk1_0,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_28,negated_conjecture,
    element(filter_of_net_str(esk1_0,esk2_0),powerset(powerset(cast_as_carrier_subset(esk1_0)))),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]),c_0_22]) ).

cnf(c_0_29,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    ( is_eventually_in(X1,X2,esk22_3(X3,X1,X2))
    | empty_carrier(X1)
    | empty_carrier(X2)
    | ~ in(X3,a_2_1_yellow19(X1,X2))
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,negated_conjecture,
    a_2_1_yellow19(esk1_0,esk2_0) = filter_of_net_str(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_20])]),c_0_21]),c_0_22]) ).

cnf(c_0_32,plain,
    ( X1 = esk22_3(X1,X2,X3)
    | empty_carrier(X2)
    | empty_carrier(X3)
    | ~ in(X1,a_2_1_yellow19(X2,X3))
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ( element(esk3_0,powerset(the_carrier(esk1_0)))
    | element(esk3_0,X1)
    | ~ element(filter_of_net_str(esk1_0,esk2_0),powerset(X1)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_34,negated_conjecture,
    element(filter_of_net_str(esk1_0,esk2_0),powerset(powerset(the_carrier(esk1_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_20])]) ).

cnf(c_0_35,negated_conjecture,
    ( is_eventually_in(esk1_0,esk2_0,esk22_3(X1,esk1_0,esk2_0))
    | ~ in(X1,filter_of_net_str(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_19]),c_0_31]),c_0_20])]),c_0_21]),c_0_22]) ).

cnf(c_0_36,negated_conjecture,
    ( is_eventually_in(esk1_0,esk2_0,esk3_0)
    | in(esk3_0,filter_of_net_str(esk1_0,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_37,negated_conjecture,
    ( esk22_3(X1,esk1_0,esk2_0) = X1
    | ~ in(X1,filter_of_net_str(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_31]),c_0_20])]),c_0_21]),c_0_22]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ in(esk3_0,filter_of_net_str(esk1_0,esk2_0))
    | ~ is_eventually_in(esk1_0,esk2_0,esk3_0)
    | ~ element(esk3_0,powerset(the_carrier(esk1_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_39,negated_conjecture,
    element(esk3_0,powerset(the_carrier(esk1_0))),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    ( is_eventually_in(esk1_0,esk2_0,esk22_3(esk3_0,esk1_0,esk2_0))
    | is_eventually_in(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    ( esk22_3(esk3_0,esk1_0,esk2_0) = esk3_0
    | is_eventually_in(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_42,plain,
    ( in(X3,a_2_1_yellow19(X2,X4))
    | empty_carrier(X2)
    | empty_carrier(X4)
    | ~ element(X1,powerset(the_carrier(X2)))
    | X3 != X1
    | ~ is_eventually_in(X2,X4,X1)
    | ~ one_sorted_str(X2)
    | ~ net_str(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ is_eventually_in(esk1_0,esk2_0,esk3_0)
    | ~ in(esk3_0,filter_of_net_str(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).

cnf(c_0_44,negated_conjecture,
    is_eventually_in(esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,a_2_1_yellow19(X2,X1))
    | ~ is_eventually_in(X2,X1,X3)
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ net_str(X1,X2)
    | ~ one_sorted_str(X2) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ~ in(esk3_0,filter_of_net_str(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_31]),c_0_39]),c_0_19]),c_0_20])]),c_0_22]),c_0_21]),c_0_46]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.23  % Problem    : SEU391+2 : TPTP v8.1.2. Released v3.3.0.
% 0.23/0.24  % Command    : run_E %s %d THM
% 0.24/0.46  % Computer : n022.cluster.edu
% 0.24/0.46  % Model    : x86_64 x86_64
% 0.24/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.46  % Memory   : 8042.1875MB
% 0.24/0.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.24/0.46  % CPULimit   : 2400
% 0.24/0.46  % WCLimit    : 300
% 0.24/0.46  % DateTime   : Mon Oct  2 09:11:10 EDT 2023
% 0.24/0.46  % CPUTime    : 
% 0.44/0.70  Running first-order theorem proving
% 0.44/0.70  Running: /export/starexec/sandbox2/solver/bin/eprover --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.yQUQq5Re1r/E---3.1_19809.p
% 0.54/1.04  # Version: 3.1pre001
% 0.54/1.04  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.54/1.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/1.04  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.54/1.04  # Starting new_bool_3 with 600s (2) cores
% 0.54/1.04  # Starting new_bool_1 with 600s (2) cores
% 0.54/1.04  # Starting sh5l with 300s (1) cores
% 0.54/1.04  # new_bool_1 with pid 19889 completed with status 0
% 0.54/1.04  # Result found by new_bool_1
% 0.54/1.04  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.54/1.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/1.04  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.54/1.04  # Starting new_bool_3 with 600s (2) cores
% 0.54/1.04  # Starting new_bool_1 with 600s (2) cores
% 0.54/1.04  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.54/1.04  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.54/1.04  # Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.54/1.04  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 270s (1) cores
% 0.54/1.04  # Starting new_bool_1 with 61s (1) cores
% 0.54/1.04  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 19893 completed with status 0
% 0.54/1.04  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.54/1.04  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.54/1.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/1.04  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.54/1.04  # Starting new_bool_3 with 600s (2) cores
% 0.54/1.04  # Starting new_bool_1 with 600s (2) cores
% 0.54/1.04  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.54/1.04  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.54/1.04  # Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.54/1.04  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 270s (1) cores
% 0.54/1.04  # Preprocessing time       : 0.007 s
% 0.54/1.04  # Presaturation interreduction done
% 0.54/1.04  
% 0.54/1.04  # Proof found!
% 0.54/1.04  # SZS status Theorem
% 0.54/1.04  # SZS output start CNFRefutation
% See solution above
% 0.54/1.04  # Parsed axioms                        : 901
% 0.54/1.04  # Removed by relevancy pruning/SinE    : 765
% 0.54/1.04  # Initial clauses                      : 433
% 0.54/1.04  # Removed in clause preprocessing      : 17
% 0.54/1.04  # Initial clauses in saturation        : 416
% 0.54/1.04  # Processed clauses                    : 3877
% 0.54/1.04  # ...of these trivial                  : 53
% 0.54/1.04  # ...subsumed                          : 2194
% 0.54/1.04  # ...remaining for further processing  : 1629
% 0.54/1.04  # Other redundant clauses eliminated   : 90
% 0.54/1.04  # Clauses deleted for lack of memory   : 0
% 0.54/1.04  # Backward-subsumed                    : 26
% 0.54/1.04  # Backward-rewritten                   : 103
% 0.54/1.04  # Generated clauses                    : 9654
% 0.54/1.04  # ...of the previous two non-redundant : 8721
% 0.54/1.04  # ...aggressively subsumed             : 0
% 0.54/1.04  # Contextual simplify-reflections      : 25
% 0.54/1.04  # Paramodulations                      : 9573
% 0.54/1.04  # Factorizations                       : 4
% 0.54/1.04  # NegExts                              : 0
% 0.54/1.04  # Equation resolutions                 : 90
% 0.54/1.04  # Total rewrite steps                  : 2121
% 0.54/1.04  # Propositional unsat checks           : 0
% 0.54/1.04  #    Propositional check models        : 0
% 0.54/1.04  #    Propositional check unsatisfiable : 0
% 0.54/1.04  #    Propositional clauses             : 0
% 0.54/1.04  #    Propositional clauses after purity: 0
% 0.54/1.04  #    Propositional unsat core size     : 0
% 0.54/1.04  #    Propositional preprocessing time  : 0.000
% 0.54/1.04  #    Propositional encoding time       : 0.000
% 0.54/1.04  #    Propositional solver time         : 0.000
% 0.54/1.04  #    Success case prop preproc time    : 0.000
% 0.54/1.04  #    Success case prop encoding time   : 0.000
% 0.54/1.04  #    Success case prop solver time     : 0.000
% 0.54/1.04  # Current number of processed clauses  : 1073
% 0.54/1.04  #    Positive orientable unit clauses  : 249
% 0.54/1.04  #    Positive unorientable unit clauses: 1
% 0.54/1.04  #    Negative unit clauses             : 183
% 0.54/1.04  #    Non-unit-clauses                  : 640
% 0.54/1.04  # Current number of unprocessed clauses: 5611
% 0.54/1.04  # ...number of literals in the above   : 21629
% 0.54/1.04  # Current number of archived formulas  : 0
% 0.54/1.04  # Current number of archived clauses   : 526
% 0.54/1.04  # Clause-clause subsumption calls (NU) : 150090
% 0.54/1.04  # Rec. Clause-clause subsumption calls : 24857
% 0.54/1.04  # Non-unit clause-clause subsumptions  : 853
% 0.54/1.04  # Unit Clause-clause subsumption calls : 9042
% 0.54/1.04  # Rewrite failures with RHS unbound    : 0
% 0.54/1.04  # BW rewrite match attempts            : 40
% 0.54/1.04  # BW rewrite match successes           : 9
% 0.54/1.04  # Condensation attempts                : 0
% 0.54/1.04  # Condensation successes               : 0
% 0.54/1.04  # Termbank termtop insertions          : 170194
% 0.54/1.04  
% 0.54/1.04  # -------------------------------------------------
% 0.54/1.04  # User time                : 0.279 s
% 0.54/1.04  # System time              : 0.023 s
% 0.54/1.04  # Total time               : 0.302 s
% 0.54/1.04  # Maximum resident set size: 4008 pages
% 0.54/1.04  
% 0.54/1.04  # -------------------------------------------------
% 0.54/1.04  # User time                : 0.575 s
% 0.54/1.04  # System time              : 0.028 s
% 0.54/1.04  # Total time               : 0.603 s
% 0.54/1.04  # Maximum resident set size: 2964 pages
% 0.54/1.04  % E---3.1 exiting
% 0.54/1.04  % E---3.1 exiting
%------------------------------------------------------------------------------