TSTP Solution File: SET647+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 19:20:06 EDT 2023

% Result   : Theorem 4.21s 1.00s
% Output   : CNFRefutation 4.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   57 (  10 unt;   0 def)
%            Number of atoms       :  242 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  307 ( 122   ~; 121   |;  20   &)
%                                         (   7 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :  112 (   2 sgn;  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( ( subset(X1,X2)
                  & subset(X2,X3) )
               => subset(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p1) ).

fof(p26,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p26) ).

fof(p3,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( subset(X1,X2)
               => ( subset(cross_product(X1,X3),cross_product(X2,X3))
                  & subset(cross_product(X3,X1),cross_product(X3,X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p3) ).

fof(p24,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( empty(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ~ member(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p24) ).

fof(p2,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => subset(X1,cross_product(domain_of(X1),range_of(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p2) ).

fof(prove_relset_1_9,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( subset(domain_of(X2),X1)
           => ilf_type(X2,relation_type(X1,range_of(X2))) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',prove_relset_1_9) ).

fof(p22,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ( ~ empty(X2)
            & ilf_type(X2,set_type) )
         => ( ilf_type(X1,member_type(X2))
          <=> member(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p22) ).

fof(p12,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p12) ).

fof(p4,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X1,X2)))
               => ilf_type(X3,relation_type(X1,X2)) )
            & ! [X4] :
                ( ilf_type(X4,relation_type(X1,X2))
               => ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p4) ).

fof(p15,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ilf_type(X2,subset_type(X1))
          <=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p15) ).

fof(p20,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( member(X1,power_set(X2))
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1DeXCEKllu/E---3.1_18037.p',p20) ).

fof(c_0_11,plain,
    ! [X7,X8,X9] :
      ( ~ ilf_type(X7,set_type)
      | ~ ilf_type(X8,set_type)
      | ~ ilf_type(X9,set_type)
      | ~ subset(X7,X8)
      | ~ subset(X8,X9)
      | subset(X7,X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).

fof(c_0_12,plain,
    ! [X16] : ilf_type(X16,set_type),
    inference(variable_rename,[status(thm)],[p26]) ).

fof(c_0_13,plain,
    ! [X30,X31,X32] :
      ( ( subset(cross_product(X30,X32),cross_product(X31,X32))
        | ~ subset(X30,X31)
        | ~ ilf_type(X32,set_type)
        | ~ ilf_type(X31,set_type)
        | ~ ilf_type(X30,set_type) )
      & ( subset(cross_product(X32,X30),cross_product(X32,X31))
        | ~ subset(X30,X31)
        | ~ ilf_type(X32,set_type)
        | ~ ilf_type(X31,set_type)
        | ~ ilf_type(X30,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])]) ).

cnf(c_0_14,plain,
    ( subset(X1,X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2)
    | ~ subset(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( subset(cross_product(X1,X2),cross_product(X3,X2))
    | ~ subset(X1,X3)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_17,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( empty(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ~ member(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[p24]) ).

cnf(c_0_18,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15]),c_0_15])]) ).

cnf(c_0_19,plain,
    ( subset(cross_product(X1,X2),cross_product(X3,X2))
    | ~ subset(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_15]),c_0_15]),c_0_15])]) ).

fof(c_0_20,plain,
    ! [X24] :
      ( ~ ilf_type(X24,binary_relation_type)
      | subset(X24,cross_product(domain_of(X24),range_of(X24))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])]) ).

fof(c_0_21,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,binary_relation_type)
           => ( subset(domain_of(X2),X1)
             => ilf_type(X2,relation_type(X1,range_of(X2))) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_9]) ).

fof(c_0_22,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ( ~ empty(X2)
            & ilf_type(X2,set_type) )
         => ( ilf_type(X1,member_type(X2))
          <=> member(X1,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[p22]) ).

fof(c_0_23,plain,
    ! [X41,X42] :
      ( ( ~ empty(X41)
        | ~ ilf_type(X42,set_type)
        | ~ member(X42,X41)
        | ~ ilf_type(X41,set_type) )
      & ( ilf_type(esk8_1(X41),set_type)
        | empty(X41)
        | ~ ilf_type(X41,set_type) )
      & ( member(esk8_1(X41),X41)
        | empty(X41)
        | ~ ilf_type(X41,set_type) ) ),
    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_17])])])])]) ).

fof(c_0_24,plain,
    ! [X11,X12,X13] :
      ( ( ~ subset(X11,X12)
        | ~ ilf_type(X13,set_type)
        | ~ member(X13,X11)
        | member(X13,X12)
        | ~ ilf_type(X12,set_type)
        | ~ ilf_type(X11,set_type) )
      & ( ilf_type(esk4_2(X11,X12),set_type)
        | subset(X11,X12)
        | ~ ilf_type(X12,set_type)
        | ~ ilf_type(X11,set_type) )
      & ( member(esk4_2(X11,X12),X11)
        | subset(X11,X12)
        | ~ ilf_type(X12,set_type)
        | ~ ilf_type(X11,set_type) )
      & ( ~ member(esk4_2(X11,X12),X12)
        | subset(X11,X12)
        | ~ ilf_type(X12,set_type)
        | ~ ilf_type(X11,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p12])])])])]) ).

cnf(c_0_25,plain,
    ( subset(X1,cross_product(X2,X3))
    | ~ subset(X1,cross_product(X4,X3))
    | ~ subset(X4,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,plain,
    ( subset(X1,cross_product(domain_of(X1),range_of(X1)))
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_27,negated_conjecture,
    ( ilf_type(esk1_0,set_type)
    & ilf_type(esk2_0,binary_relation_type)
    & subset(domain_of(esk2_0),esk1_0)
    & ~ ilf_type(esk2_0,relation_type(esk1_0,range_of(esk2_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

fof(c_0_28,plain,
    ! [X17,X18,X19,X20] :
      ( ( ~ ilf_type(X19,subset_type(cross_product(X17,X18)))
        | ilf_type(X19,relation_type(X17,X18))
        | ~ ilf_type(X18,set_type)
        | ~ ilf_type(X17,set_type) )
      & ( ~ ilf_type(X20,relation_type(X17,X18))
        | ilf_type(X20,subset_type(cross_product(X17,X18)))
        | ~ ilf_type(X18,set_type)
        | ~ ilf_type(X17,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])]) ).

fof(c_0_29,plain,
    ! [X57,X58] :
      ( ( ~ ilf_type(X58,subset_type(X57))
        | ilf_type(X58,member_type(power_set(X57)))
        | ~ ilf_type(X58,set_type)
        | ~ ilf_type(X57,set_type) )
      & ( ~ ilf_type(X58,member_type(power_set(X57)))
        | ilf_type(X58,subset_type(X57))
        | ~ ilf_type(X58,set_type)
        | ~ ilf_type(X57,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])])]) ).

fof(c_0_30,plain,
    ! [X55,X56] :
      ( ( ~ ilf_type(X55,member_type(X56))
        | member(X55,X56)
        | empty(X56)
        | ~ ilf_type(X56,set_type)
        | ~ ilf_type(X55,set_type) )
      & ( ~ member(X55,X56)
        | ilf_type(X55,member_type(X56))
        | empty(X56)
        | ~ ilf_type(X56,set_type)
        | ~ ilf_type(X55,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).

cnf(c_0_31,plain,
    ( ~ empty(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_32,plain,
    ! [X51,X52,X53] :
      ( ( ~ member(X51,power_set(X52))
        | ~ ilf_type(X53,set_type)
        | ~ member(X53,X51)
        | member(X53,X52)
        | ~ ilf_type(X52,set_type)
        | ~ ilf_type(X51,set_type) )
      & ( ilf_type(esk12_2(X51,X52),set_type)
        | member(X51,power_set(X52))
        | ~ ilf_type(X52,set_type)
        | ~ ilf_type(X51,set_type) )
      & ( member(esk12_2(X51,X52),X51)
        | member(X51,power_set(X52))
        | ~ ilf_type(X52,set_type)
        | ~ ilf_type(X51,set_type) )
      & ( ~ member(esk12_2(X51,X52),X52)
        | member(X51,power_set(X52))
        | ~ ilf_type(X52,set_type)
        | ~ ilf_type(X51,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p20])])])])]) ).

cnf(c_0_33,plain,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ ilf_type(X3,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,plain,
    ( subset(X1,cross_product(X2,range_of(X1)))
    | ~ subset(domain_of(X1),X2)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    subset(domain_of(esk2_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,negated_conjecture,
    ilf_type(esk2_0,binary_relation_type),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    ( ilf_type(X1,relation_type(X2,X3))
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ ilf_type(X1,member_type(power_set(X2)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,plain,
    ( ilf_type(X1,member_type(X2))
    | empty(X2)
    | ~ member(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,plain,
    ( ~ empty(X1)
    | ~ member(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_15]),c_0_15])]) ).

cnf(c_0_41,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk12_2(X1,X2),X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_15]),c_0_15]),c_0_15])]) ).

cnf(c_0_43,negated_conjecture,
    subset(esk2_0,cross_product(esk1_0,range_of(esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_44,negated_conjecture,
    ~ ilf_type(esk2_0,relation_type(esk1_0,range_of(esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_45,plain,
    ( ilf_type(X1,relation_type(X2,X3))
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_15]),c_0_15])]) ).

cnf(c_0_46,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ ilf_type(X1,member_type(power_set(X2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_15]),c_0_15])]) ).

cnf(c_0_47,plain,
    ( ilf_type(X1,member_type(X2))
    | ~ member(X1,X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_15]),c_0_15])]),c_0_40]) ).

cnf(c_0_48,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk12_2(X1,X2),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_15]),c_0_15])]) ).

cnf(c_0_49,negated_conjecture,
    ( member(X1,cross_product(esk1_0,range_of(esk2_0)))
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( member(esk12_2(X1,X2),X1)
    | member(X1,power_set(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_51,negated_conjecture,
    ~ ilf_type(esk2_0,subset_type(cross_product(esk1_0,range_of(esk2_0)))),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_52,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ member(X1,power_set(X2)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    ( member(X1,power_set(cross_product(esk1_0,range_of(esk2_0))))
    | ~ member(esk12_2(X1,cross_product(esk1_0,range_of(esk2_0))),esk2_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( member(esk12_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_15]),c_0_15])]) ).

cnf(c_0_55,negated_conjecture,
    ~ member(esk2_0,power_set(cross_product(esk1_0,range_of(esk2_0)))),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem    : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.14  % Command    : run_E %s %d THM
% 0.10/0.33  % Computer : n026.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 2400
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon Oct  2 16:57:14 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.15/0.44  Running first-order theorem proving
% 0.15/0.44  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.1DeXCEKllu/E---3.1_18037.p
% 4.21/1.00  # Version: 3.1pre001
% 4.21/1.00  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.21/1.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.21/1.00  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.21/1.00  # Starting new_bool_3 with 300s (1) cores
% 4.21/1.00  # Starting new_bool_1 with 300s (1) cores
% 4.21/1.00  # Starting sh5l with 300s (1) cores
% 4.21/1.00  # sh5l with pid 18153 completed with status 0
% 4.21/1.00  # Result found by sh5l
% 4.21/1.00  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.21/1.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.21/1.00  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.21/1.00  # Starting new_bool_3 with 300s (1) cores
% 4.21/1.00  # Starting new_bool_1 with 300s (1) cores
% 4.21/1.00  # Starting sh5l with 300s (1) cores
% 4.21/1.00  # SinE strategy is gf500_gu_R04_F100_L20000
% 4.21/1.00  # Search class: FGHSF-FFMS21-SFFFFFNN
% 4.21/1.00  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.21/1.00  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 4.21/1.00  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 18161 completed with status 0
% 4.21/1.00  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 4.21/1.00  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.21/1.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.21/1.00  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.21/1.00  # Starting new_bool_3 with 300s (1) cores
% 4.21/1.00  # Starting new_bool_1 with 300s (1) cores
% 4.21/1.00  # Starting sh5l with 300s (1) cores
% 4.21/1.00  # SinE strategy is gf500_gu_R04_F100_L20000
% 4.21/1.00  # Search class: FGHSF-FFMS21-SFFFFFNN
% 4.21/1.00  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.21/1.00  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 4.21/1.00  # Preprocessing time       : 0.002 s
% 4.21/1.00  # Presaturation interreduction done
% 4.21/1.00  
% 4.21/1.00  # Proof found!
% 4.21/1.00  # SZS status Theorem
% 4.21/1.00  # SZS output start CNFRefutation
% See solution above
% 4.21/1.00  # Parsed axioms                        : 27
% 4.21/1.00  # Removed by relevancy pruning/SinE    : 0
% 4.21/1.00  # Initial clauses                      : 54
% 4.21/1.00  # Removed in clause preprocessing      : 1
% 4.21/1.00  # Initial clauses in saturation        : 53
% 4.21/1.00  # Processed clauses                    : 2448
% 4.21/1.00  # ...of these trivial                  : 17
% 4.21/1.00  # ...subsumed                          : 825
% 4.21/1.00  # ...remaining for further processing  : 1606
% 4.21/1.00  # Other redundant clauses eliminated   : 1
% 4.21/1.00  # Clauses deleted for lack of memory   : 0
% 4.21/1.00  # Backward-subsumed                    : 149
% 4.21/1.00  # Backward-rewritten                   : 12
% 4.21/1.00  # Generated clauses                    : 25838
% 4.21/1.00  # ...of the previous two non-redundant : 25405
% 4.21/1.00  # ...aggressively subsumed             : 0
% 4.21/1.00  # Contextual simplify-reflections      : 50
% 4.21/1.00  # Paramodulations                      : 25837
% 4.21/1.00  # Factorizations                       : 0
% 4.21/1.00  # NegExts                              : 0
% 4.21/1.00  # Equation resolutions                 : 1
% 4.21/1.00  # Total rewrite steps                  : 575
% 4.21/1.00  # Propositional unsat checks           : 0
% 4.21/1.00  #    Propositional check models        : 0
% 4.21/1.00  #    Propositional check unsatisfiable : 0
% 4.21/1.00  #    Propositional clauses             : 0
% 4.21/1.00  #    Propositional clauses after purity: 0
% 4.21/1.00  #    Propositional unsat core size     : 0
% 4.21/1.00  #    Propositional preprocessing time  : 0.000
% 4.21/1.00  #    Propositional encoding time       : 0.000
% 4.21/1.00  #    Propositional solver time         : 0.000
% 4.21/1.00  #    Success case prop preproc time    : 0.000
% 4.21/1.00  #    Success case prop encoding time   : 0.000
% 4.21/1.00  #    Success case prop solver time     : 0.000
% 4.21/1.00  # Current number of processed clauses  : 1406
% 4.21/1.00  #    Positive orientable unit clauses  : 83
% 4.21/1.00  #    Positive unorientable unit clauses: 0
% 4.21/1.00  #    Negative unit clauses             : 4
% 4.21/1.00  #    Non-unit-clauses                  : 1319
% 4.21/1.00  # Current number of unprocessed clauses: 23008
% 4.21/1.00  # ...number of literals in the above   : 85857
% 4.21/1.00  # Current number of archived formulas  : 0
% 4.21/1.00  # Current number of archived clauses   : 200
% 4.21/1.00  # Clause-clause subsumption calls (NU) : 306694
% 4.21/1.00  # Rec. Clause-clause subsumption calls : 212519
% 4.21/1.00  # Non-unit clause-clause subsumptions  : 957
% 4.21/1.00  # Unit Clause-clause subsumption calls : 2906
% 4.21/1.00  # Rewrite failures with RHS unbound    : 0
% 4.21/1.00  # BW rewrite match attempts            : 345
% 4.21/1.00  # BW rewrite match successes           : 12
% 4.21/1.00  # Condensation attempts                : 0
% 4.21/1.00  # Condensation successes               : 0
% 4.21/1.00  # Termbank termtop insertions          : 532001
% 4.21/1.00  
% 4.21/1.00  # -------------------------------------------------
% 4.21/1.00  # User time                : 0.525 s
% 4.21/1.00  # System time              : 0.012 s
% 4.21/1.00  # Total time               : 0.537 s
% 4.21/1.00  # Maximum resident set size: 1860 pages
% 4.21/1.00  
% 4.21/1.00  # -------------------------------------------------
% 4.21/1.00  # User time                : 0.526 s
% 4.21/1.00  # System time              : 0.014 s
% 4.21/1.00  # Total time               : 0.540 s
% 4.21/1.00  # Maximum resident set size: 1728 pages
% 4.21/1.00  % E---3.1 exiting
% 4.21/1.00  % E---3.1 exiting
%------------------------------------------------------------------------------