TSTP Solution File: SEU394+2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SEU394+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 09:31:39 EDT 2024

% Result   : Theorem 8.47s 1.71s
% Output   : CNFRefutation 8.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   54 (  25 unt;   0 def)
%            Number of atoms       :  161 (  26 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  182 (  75   ~;  51   |;  39   &)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   55 (   1 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t15_yellow19,conjecture,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty(X2)
            & filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
            & upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
            & proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
            & element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) )
         => X2 = filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',t15_yellow19) ).

fof(t2_yellow19,lemma,
    ! [X1] :
      ( ~ empty(X1)
     => ! [X2] :
          ( ( ~ empty(X2)
            & filtered_subset(X2,boole_POSet(X1))
            & upper_relstr_subset(X2,boole_POSet(X1))
            & proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
            & element(X2,powerset(the_carrier(boole_POSet(X1)))) )
         => ! [X3] :
              ~ ( in(X3,X2)
                & empty(X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',t2_yellow19) ).

fof(d3_pre_topc,axiom,
    ! [X1] :
      ( one_sorted_str(X1)
     => cast_as_carrier_subset(X1) = the_carrier(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',d3_pre_topc) ).

fof(fc2_pre_topc,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ~ empty(cast_as_carrier_subset(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',fc2_pre_topc) ).

fof(t4_waybel_7,lemma,
    ! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',t4_waybel_7) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',t7_boole) ).

fof(t65_zfmisc_1,lemma,
    ! [X1,X2] :
      ( set_difference(X1,singleton(X2)) = X1
    <=> ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',t65_zfmisc_1) ).

fof(t14_yellow19,lemma,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty(X2)
            & filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
            & upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
            & element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) )
         => set_difference(X2,singleton(empty_set)) = filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',t14_yellow19) ).

fof(t1_zfmisc_1,lemma,
    powerset(empty_set) = singleton(empty_set),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',t1_zfmisc_1) ).

fof(fc1_xboole_0,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p',fc1_xboole_0) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ empty_carrier(X1)
          & one_sorted_str(X1) )
       => ! [X2] :
            ( ( ~ empty(X2)
              & filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
              & upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
              & proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
              & element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) )
           => X2 = filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2)) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t15_yellow19])]) ).

fof(c_0_11,lemma,
    ! [X1] :
      ( ~ empty(X1)
     => ! [X2] :
          ( ( ~ empty(X2)
            & filtered_subset(X2,boole_POSet(X1))
            & upper_relstr_subset(X2,boole_POSet(X1))
            & proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
            & element(X2,powerset(the_carrier(boole_POSet(X1)))) )
         => ! [X3] :
              ~ ( in(X3,X2)
                & empty(X3) ) ) ),
    inference(fof_simplification,[status(thm)],[t2_yellow19]) ).

fof(c_0_12,plain,
    ! [X43] :
      ( ~ one_sorted_str(X43)
      | cast_as_carrier_subset(X43) = the_carrier(X43) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pre_topc])])]) ).

fof(c_0_13,negated_conjecture,
    ( ~ empty_carrier(esk1_0)
    & one_sorted_str(esk1_0)
    & ~ empty(esk2_0)
    & filtered_subset(esk2_0,boole_POSet(cast_as_carrier_subset(esk1_0)))
    & upper_relstr_subset(esk2_0,boole_POSet(cast_as_carrier_subset(esk1_0)))
    & proper_element(esk2_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk1_0)))))
    & element(esk2_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk1_0)))))
    & esk2_0 != filter_of_net_str(esk1_0,net_of_bool_filter(esk1_0,cast_as_carrier_subset(esk1_0),esk2_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_14,plain,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ~ empty(cast_as_carrier_subset(X1)) ),
    inference(fof_simplification,[status(thm)],[fc2_pre_topc]) ).

fof(c_0_15,lemma,
    ! [X108,X109,X110] :
      ( empty(X108)
      | empty(X109)
      | ~ filtered_subset(X109,boole_POSet(X108))
      | ~ upper_relstr_subset(X109,boole_POSet(X108))
      | ~ proper_element(X109,powerset(the_carrier(boole_POSet(X108))))
      | ~ element(X109,powerset(the_carrier(boole_POSet(X108))))
      | ~ in(X110,X109)
      | ~ empty(X110) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

fof(c_0_16,lemma,
    ! [X101] : the_carrier(boole_POSet(X101)) = powerset(X101),
    inference(variable_rename,[status(thm)],[t4_waybel_7]) ).

fof(c_0_17,plain,
    ! [X136,X137] :
      ( ~ in(X136,X137)
      | ~ empty(X137) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).

cnf(c_0_18,plain,
    ( cast_as_carrier_subset(X1) = the_carrier(X1)
    | ~ one_sorted_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    one_sorted_str(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_20,plain,
    ! [X45] :
      ( empty_carrier(X45)
      | ~ one_sorted_str(X45)
      | ~ empty(cast_as_carrier_subset(X45)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

cnf(c_0_21,lemma,
    ( empty(X1)
    | empty(X2)
    | ~ filtered_subset(X2,boole_POSet(X1))
    | ~ upper_relstr_subset(X2,boole_POSet(X1))
    | ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
    | ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
    | ~ in(X3,X2)
    | ~ empty(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,lemma,
    the_carrier(boole_POSet(X1)) = powerset(X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( ~ in(X1,X2)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    element(esk2_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk1_0))))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_25,negated_conjecture,
    cast_as_carrier_subset(esk1_0) = the_carrier(esk1_0),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    proper_element(esk2_0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(esk1_0))))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_27,negated_conjecture,
    upper_relstr_subset(esk2_0,boole_POSet(cast_as_carrier_subset(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_28,negated_conjecture,
    filtered_subset(esk2_0,boole_POSet(cast_as_carrier_subset(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_29,plain,
    ( empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ empty(cast_as_carrier_subset(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,negated_conjecture,
    ~ empty_carrier(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_31,lemma,
    ! [X1,X2] :
      ( set_difference(X1,singleton(X2)) = X1
    <=> ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[t65_zfmisc_1]) ).

fof(c_0_32,lemma,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty(X2)
            & filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
            & upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
            & element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) )
         => set_difference(X2,singleton(empty_set)) = filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2)) ) ),
    inference(fof_simplification,[status(thm)],[t14_yellow19]) ).

cnf(c_0_33,lemma,
    ( empty(X1)
    | ~ proper_element(X2,powerset(powerset(X1)))
    | ~ upper_relstr_subset(X2,boole_POSet(X1))
    | ~ filtered_subset(X2,boole_POSet(X1))
    | ~ empty(X3)
    | ~ element(X2,powerset(powerset(X1)))
    | ~ in(X3,X2) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]),c_0_23]) ).

cnf(c_0_34,negated_conjecture,
    element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22]) ).

cnf(c_0_35,negated_conjecture,
    proper_element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_22]) ).

cnf(c_0_36,negated_conjecture,
    upper_relstr_subset(esk2_0,boole_POSet(the_carrier(esk1_0))),
    inference(spm,[status(thm)],[c_0_27,c_0_25]) ).

cnf(c_0_37,negated_conjecture,
    filtered_subset(esk2_0,boole_POSet(the_carrier(esk1_0))),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

cnf(c_0_38,negated_conjecture,
    ~ empty(the_carrier(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_19])]),c_0_30]) ).

fof(c_0_39,lemma,
    ! [X231,X232] :
      ( ( set_difference(X231,singleton(X232)) != X231
        | ~ in(X232,X231) )
      & ( in(X232,X231)
        | set_difference(X231,singleton(X232)) = X231 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).

fof(c_0_40,lemma,
    ! [X32,X33] :
      ( empty_carrier(X32)
      | ~ one_sorted_str(X32)
      | empty(X33)
      | ~ filtered_subset(X33,boole_POSet(cast_as_carrier_subset(X32)))
      | ~ upper_relstr_subset(X33,boole_POSet(cast_as_carrier_subset(X32)))
      | ~ element(X33,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X32)))))
      | set_difference(X33,singleton(empty_set)) = filter_of_net_str(X32,net_of_bool_filter(X32,cast_as_carrier_subset(X32),X33)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ empty(X1)
    | ~ in(X1,esk2_0) ),
    inference(sr,[status(thm)],[inference(cn,[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_38]) ).

cnf(c_0_42,lemma,
    ( in(X1,X2)
    | set_difference(X2,singleton(X1)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_43,lemma,
    ( empty_carrier(X1)
    | empty(X2)
    | set_difference(X2,singleton(empty_set)) = filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2))
    | ~ one_sorted_str(X1)
    | ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
    | ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
    | ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_44,lemma,
    powerset(empty_set) = singleton(empty_set),
    inference(split_conjunct,[status(thm)],[t1_zfmisc_1]) ).

cnf(c_0_45,lemma,
    ( set_difference(esk2_0,singleton(X1)) = esk2_0
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).

cnf(c_0_47,negated_conjecture,
    esk2_0 != filter_of_net_str(esk1_0,net_of_bool_filter(esk1_0,cast_as_carrier_subset(esk1_0),esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_48,lemma,
    ( filter_of_net_str(X1,net_of_bool_filter(X1,cast_as_carrier_subset(X1),X2)) = set_difference(X2,powerset(empty_set))
    | empty(X2)
    | empty_carrier(X1)
    | ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
    | ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
    | ~ element(X2,powerset(powerset(cast_as_carrier_subset(X1))))
    | ~ one_sorted_str(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_22]) ).

cnf(c_0_49,negated_conjecture,
    element(esk2_0,powerset(powerset(cast_as_carrier_subset(esk1_0)))),
    inference(spm,[status(thm)],[c_0_24,c_0_22]) ).

cnf(c_0_50,lemma,
    set_difference(esk2_0,powerset(empty_set)) = esk2_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_44]) ).

cnf(c_0_51,negated_conjecture,
    filter_of_net_str(esk1_0,net_of_bool_filter(esk1_0,the_carrier(esk1_0),esk2_0)) != esk2_0,
    inference(spm,[status(thm)],[c_0_47,c_0_25]) ).

cnf(c_0_52,negated_conjecture,
    ~ empty(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_53,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_25]),c_0_50]),c_0_25]),c_0_36]),c_0_25]),c_0_37]),c_0_19])]),c_0_51]),c_0_52]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SEU394+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 07:39:18 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.42/0.58  Running first-order model finding
% 0.42/0.58  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.BlXAgU74TB/E---3.1_26959.p
% 8.47/1.71  # Version: 3.1.0
% 8.47/1.71  # Preprocessing class: FSLMSMSSSSSNFFN.
% 8.47/1.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.47/1.71  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 8.47/1.71  # Starting new_bool_3 with 600s (2) cores
% 8.47/1.71  # Starting new_bool_1 with 600s (2) cores
% 8.47/1.71  # Starting sh5l with 300s (1) cores
% 8.47/1.71  # new_bool_3 with pid 27119 completed with status 0
% 8.47/1.71  # Result found by new_bool_3
% 8.47/1.71  # Preprocessing class: FSLMSMSSSSSNFFN.
% 8.47/1.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.47/1.71  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 8.47/1.71  # Starting new_bool_3 with 600s (2) cores
% 8.47/1.71  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.47/1.71  # Search class: FGHSM-SMLM32-MFFFFFNN
% 8.47/1.71  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 8.47/1.71  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 45s (1) cores
% 8.47/1.71  # Starting new_bool_3 with 61s (1) cores
% 8.47/1.71  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 27138 completed with status 0
% 8.47/1.71  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.47/1.71  # Preprocessing class: FSLMSMSSSSSNFFN.
% 8.47/1.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.47/1.71  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 8.47/1.71  # Starting new_bool_3 with 600s (2) cores
% 8.47/1.71  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.47/1.71  # Search class: FGHSM-SMLM32-MFFFFFNN
% 8.47/1.71  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 8.47/1.71  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 45s (1) cores
% 8.47/1.71  # Preprocessing time       : 0.029 s
% 8.47/1.71  # Presaturation interreduction done
% 8.47/1.71  
% 8.47/1.71  # Proof found!
% 8.47/1.71  # SZS status Theorem
% 8.47/1.71  # SZS output start CNFRefutation
% See solution above
% 8.47/1.71  # Parsed axioms                        : 916
% 8.47/1.71  # Removed by relevancy pruning/SinE    : 573
% 8.47/1.71  # Initial clauses                      : 1958
% 8.47/1.71  # Removed in clause preprocessing      : 70
% 8.47/1.71  # Initial clauses in saturation        : 1888
% 8.47/1.71  # Processed clauses                    : 8509
% 8.47/1.71  # ...of these trivial                  : 170
% 8.47/1.71  # ...subsumed                          : 2328
% 8.47/1.71  # ...remaining for further processing  : 6011
% 8.47/1.71  # Other redundant clauses eliminated   : 538
% 8.47/1.71  # Clauses deleted for lack of memory   : 0
% 8.47/1.71  # Backward-subsumed                    : 154
% 8.47/1.71  # Backward-rewritten                   : 83
% 8.47/1.71  # Generated clauses                    : 20072
% 8.47/1.71  # ...of the previous two non-redundant : 18553
% 8.47/1.71  # ...aggressively subsumed             : 0
% 8.47/1.71  # Contextual simplify-reflections      : 241
% 8.47/1.71  # Paramodulations                      : 19669
% 8.47/1.71  # Factorizations                       : 2
% 8.47/1.71  # NegExts                              : 0
% 8.47/1.71  # Equation resolutions                 : 542
% 8.47/1.71  # Disequality decompositions           : 0
% 8.47/1.71  # Total rewrite steps                  : 4174
% 8.47/1.71  # ...of those cached                   : 3275
% 8.47/1.71  # Propositional unsat checks           : 1
% 8.47/1.71  #    Propositional check models        : 1
% 8.47/1.71  #    Propositional check unsatisfiable : 0
% 8.47/1.71  #    Propositional clauses             : 0
% 8.47/1.71  #    Propositional clauses after purity: 0
% 8.47/1.71  #    Propositional unsat core size     : 0
% 8.47/1.71  #    Propositional preprocessing time  : 0.000
% 8.47/1.71  #    Propositional encoding time       : 0.008
% 8.47/1.71  #    Propositional solver time         : 0.015
% 8.47/1.71  #    Success case prop preproc time    : 0.000
% 8.47/1.71  #    Success case prop encoding time   : 0.000
% 8.47/1.71  #    Success case prop solver time     : 0.000
% 8.47/1.71  # Current number of processed clauses  : 3701
% 8.47/1.71  #    Positive orientable unit clauses  : 845
% 8.47/1.71  #    Positive unorientable unit clauses: 2
% 8.47/1.71  #    Negative unit clauses             : 558
% 8.47/1.71  #    Non-unit-clauses                  : 2296
% 8.47/1.71  # Current number of unprocessed clauses: 13352
% 8.47/1.71  # ...number of literals in the above   : 37088
% 8.47/1.71  # Current number of archived formulas  : 0
% 8.47/1.71  # Current number of archived clauses   : 1920
% 8.47/1.71  # Clause-clause subsumption calls (NU) : 2140719
% 8.47/1.71  # Rec. Clause-clause subsumption calls : 614508
% 8.47/1.71  # Non-unit clause-clause subsumptions  : 1339
% 8.47/1.71  # Unit Clause-clause subsumption calls : 67268
% 8.47/1.71  # Rewrite failures with RHS unbound    : 0
% 8.47/1.71  # BW rewrite match attempts            : 167
% 8.47/1.71  # BW rewrite match successes           : 92
% 8.47/1.71  # Condensation attempts                : 0
% 8.47/1.71  # Condensation successes               : 0
% 8.47/1.71  # Termbank termtop insertions          : 442482
% 8.47/1.71  # Search garbage collected termcells   : 26014
% 8.47/1.71  
% 8.47/1.71  # -------------------------------------------------
% 8.47/1.71  # User time                : 1.049 s
% 8.47/1.71  # System time              : 0.031 s
% 8.47/1.71  # Total time               : 1.080 s
% 8.47/1.71  # Maximum resident set size: 6888 pages
% 8.47/1.71  
% 8.47/1.71  # -------------------------------------------------
% 8.47/1.71  # User time                : 2.084 s
% 8.47/1.71  # System time              : 0.035 s
% 8.47/1.71  # Total time               : 2.119 s
% 8.47/1.71  # Maximum resident set size: 3016 pages
% 8.47/1.71  % E---3.1 exiting
%------------------------------------------------------------------------------