TSTP Solution File: SET648+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET648+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 19:20:07 EDT 2023

% Result   : Theorem 4.86s 1.02s
% Output   : CNFRefutation 4.86s
% 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.E5NtCnooZi/E---3.1_10089.p',p1) ).

fof(p26,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.E5NtCnooZi/E---3.1_10089.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.E5NtCnooZi/E---3.1_10089.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.E5NtCnooZi/E---3.1_10089.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.E5NtCnooZi/E---3.1_10089.p',p2) ).

fof(prove_relset_1_10,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( subset(range_of(X2),X1)
           => ilf_type(X2,relation_type(domain_of(X2),X1)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E5NtCnooZi/E---3.1_10089.p',prove_relset_1_10) ).

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.E5NtCnooZi/E---3.1_10089.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.E5NtCnooZi/E---3.1_10089.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.E5NtCnooZi/E---3.1_10089.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.E5NtCnooZi/E---3.1_10089.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.E5NtCnooZi/E---3.1_10089.p',p20) ).

fof(c_0_11,plain,
    ! [X21,X22,X23] :
      ( ~ ilf_type(X21,set_type)
      | ~ ilf_type(X22,set_type)
      | ~ ilf_type(X23,set_type)
      | ~ subset(X21,X22)
      | ~ subset(X22,X23)
      | subset(X21,X23) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).

fof(c_0_12,plain,
    ! [X7] : ilf_type(X7,set_type),
    inference(variable_rename,[status(thm)],[p26]) ).

fof(c_0_13,plain,
    ! [X24,X25,X26] :
      ( ( subset(cross_product(X24,X26),cross_product(X25,X26))
        | ~ subset(X24,X25)
        | ~ ilf_type(X26,set_type)
        | ~ ilf_type(X25,set_type)
        | ~ ilf_type(X24,set_type) )
      & ( subset(cross_product(X26,X24),cross_product(X26,X25))
        | ~ subset(X24,X25)
        | ~ ilf_type(X26,set_type)
        | ~ ilf_type(X25,set_type)
        | ~ ilf_type(X24,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(X1,X3))
    | ~ subset(X2,X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,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(X1,X3))
    | ~ subset(X2,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,
    ! [X15] :
      ( ~ ilf_type(X15,binary_relation_type)
      | subset(X15,cross_product(domain_of(X15),range_of(X15))) ),
    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(range_of(X2),X1)
             => ilf_type(X2,relation_type(domain_of(X2),X1)) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_10]) ).

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,
    ! [X47,X48] :
      ( ( ~ empty(X47)
        | ~ ilf_type(X48,set_type)
        | ~ member(X48,X47)
        | ~ ilf_type(X47,set_type) )
      & ( ilf_type(esk9_1(X47),set_type)
        | empty(X47)
        | ~ ilf_type(X47,set_type) )
      & ( member(esk9_1(X47),X47)
        | empty(X47)
        | ~ ilf_type(X47,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,
    ! [X27,X28,X29] :
      ( ( ~ subset(X27,X28)
        | ~ ilf_type(X29,set_type)
        | ~ member(X29,X27)
        | member(X29,X28)
        | ~ ilf_type(X28,set_type)
        | ~ ilf_type(X27,set_type) )
      & ( ilf_type(esk5_2(X27,X28),set_type)
        | subset(X27,X28)
        | ~ ilf_type(X28,set_type)
        | ~ ilf_type(X27,set_type) )
      & ( member(esk5_2(X27,X28),X27)
        | subset(X27,X28)
        | ~ ilf_type(X28,set_type)
        | ~ ilf_type(X27,set_type) )
      & ( ~ member(esk5_2(X27,X28),X28)
        | subset(X27,X28)
        | ~ ilf_type(X28,set_type)
        | ~ ilf_type(X27,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(X2,X4))
    | ~ subset(X4,X3) ),
    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(range_of(esk2_0),esk1_0)
    & ~ ilf_type(esk2_0,relation_type(domain_of(esk2_0),esk1_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

fof(c_0_28,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ ilf_type(X10,subset_type(cross_product(X8,X9)))
        | ilf_type(X10,relation_type(X8,X9))
        | ~ ilf_type(X9,set_type)
        | ~ ilf_type(X8,set_type) )
      & ( ~ ilf_type(X11,relation_type(X8,X9))
        | ilf_type(X11,subset_type(cross_product(X8,X9)))
        | ~ ilf_type(X9,set_type)
        | ~ ilf_type(X8,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,
    ! [X38,X39] :
      ( ( ~ ilf_type(X39,subset_type(X38))
        | ilf_type(X39,member_type(power_set(X38)))
        | ~ ilf_type(X39,set_type)
        | ~ ilf_type(X38,set_type) )
      & ( ~ ilf_type(X39,member_type(power_set(X38)))
        | ilf_type(X39,subset_type(X38))
        | ~ ilf_type(X39,set_type)
        | ~ ilf_type(X38,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,
    ! [X59,X60] :
      ( ( ~ ilf_type(X59,member_type(X60))
        | member(X59,X60)
        | empty(X60)
        | ~ ilf_type(X60,set_type)
        | ~ ilf_type(X59,set_type) )
      & ( ~ member(X59,X60)
        | ilf_type(X59,member_type(X60))
        | empty(X60)
        | ~ ilf_type(X60,set_type)
        | ~ ilf_type(X59,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,
    ! [X63,X64,X65] :
      ( ( ~ member(X63,power_set(X64))
        | ~ ilf_type(X65,set_type)
        | ~ member(X65,X63)
        | member(X65,X64)
        | ~ ilf_type(X64,set_type)
        | ~ ilf_type(X63,set_type) )
      & ( ilf_type(esk14_2(X63,X64),set_type)
        | member(X63,power_set(X64))
        | ~ ilf_type(X64,set_type)
        | ~ ilf_type(X63,set_type) )
      & ( member(esk14_2(X63,X64),X63)
        | member(X63,power_set(X64))
        | ~ ilf_type(X64,set_type)
        | ~ ilf_type(X63,set_type) )
      & ( ~ member(esk14_2(X63,X64),X64)
        | member(X63,power_set(X64))
        | ~ ilf_type(X64,set_type)
        | ~ ilf_type(X63,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(domain_of(X1),X2))
    | ~ subset(range_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(range_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(esk14_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(domain_of(esk2_0),esk1_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(domain_of(esk2_0),esk1_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(esk14_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(domain_of(esk2_0),esk1_0))
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( member(esk14_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(domain_of(esk2_0),esk1_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(domain_of(esk2_0),esk1_0)))
    | ~ member(esk14_2(X1,cross_product(domain_of(esk2_0),esk1_0)),esk2_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( member(esk14_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(domain_of(esk2_0),esk1_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
% 0.09/0.11  % Problem    : SET648+3 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n007.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 17:31:54 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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.E5NtCnooZi/E---3.1_10089.p
% 4.86/1.02  # Version: 3.1pre001
% 4.86/1.02  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.86/1.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.86/1.02  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.86/1.02  # Starting new_bool_3 with 300s (1) cores
% 4.86/1.02  # Starting new_bool_1 with 300s (1) cores
% 4.86/1.02  # Starting sh5l with 300s (1) cores
% 4.86/1.02  # new_bool_3 with pid 10169 completed with status 0
% 4.86/1.02  # Result found by new_bool_3
% 4.86/1.02  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.86/1.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.86/1.02  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.86/1.02  # Starting new_bool_3 with 300s (1) cores
% 4.86/1.02  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.86/1.02  # Search class: FGHSF-FFMS21-SFFFFFNN
% 4.86/1.02  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.86/1.02  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 4.86/1.02  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 10172 completed with status 0
% 4.86/1.02  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 4.86/1.02  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.86/1.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.86/1.02  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.86/1.02  # Starting new_bool_3 with 300s (1) cores
% 4.86/1.02  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.86/1.02  # Search class: FGHSF-FFMS21-SFFFFFNN
% 4.86/1.02  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.86/1.02  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 4.86/1.02  # Preprocessing time       : 0.002 s
% 4.86/1.02  # Presaturation interreduction done
% 4.86/1.02  
% 4.86/1.02  # Proof found!
% 4.86/1.02  # SZS status Theorem
% 4.86/1.02  # SZS output start CNFRefutation
% See solution above
% 4.86/1.03  # Parsed axioms                        : 27
% 4.86/1.03  # Removed by relevancy pruning/SinE    : 0
% 4.86/1.03  # Initial clauses                      : 54
% 4.86/1.03  # Removed in clause preprocessing      : 1
% 4.86/1.03  # Initial clauses in saturation        : 53
% 4.86/1.03  # Processed clauses                    : 2430
% 4.86/1.03  # ...of these trivial                  : 20
% 4.86/1.03  # ...subsumed                          : 821
% 4.86/1.03  # ...remaining for further processing  : 1589
% 4.86/1.03  # Other redundant clauses eliminated   : 1
% 4.86/1.03  # Clauses deleted for lack of memory   : 0
% 4.86/1.03  # Backward-subsumed                    : 149
% 4.86/1.03  # Backward-rewritten                   : 11
% 4.86/1.03  # Generated clauses                    : 25490
% 4.86/1.03  # ...of the previous two non-redundant : 25071
% 4.86/1.03  # ...aggressively subsumed             : 0
% 4.86/1.03  # Contextual simplify-reflections      : 50
% 4.86/1.03  # Paramodulations                      : 25489
% 4.86/1.03  # Factorizations                       : 0
% 4.86/1.03  # NegExts                              : 0
% 4.86/1.03  # Equation resolutions                 : 1
% 4.86/1.03  # Total rewrite steps                  : 571
% 4.86/1.03  # Propositional unsat checks           : 0
% 4.86/1.03  #    Propositional check models        : 0
% 4.86/1.03  #    Propositional check unsatisfiable : 0
% 4.86/1.03  #    Propositional clauses             : 0
% 4.86/1.03  #    Propositional clauses after purity: 0
% 4.86/1.03  #    Propositional unsat core size     : 0
% 4.86/1.03  #    Propositional preprocessing time  : 0.000
% 4.86/1.03  #    Propositional encoding time       : 0.000
% 4.86/1.03  #    Propositional solver time         : 0.000
% 4.86/1.03  #    Success case prop preproc time    : 0.000
% 4.86/1.03  #    Success case prop encoding time   : 0.000
% 4.86/1.03  #    Success case prop solver time     : 0.000
% 4.86/1.03  # Current number of processed clauses  : 1390
% 4.86/1.03  #    Positive orientable unit clauses  : 83
% 4.86/1.03  #    Positive unorientable unit clauses: 0
% 4.86/1.03  #    Negative unit clauses             : 4
% 4.86/1.03  #    Non-unit-clauses                  : 1303
% 4.86/1.03  # Current number of unprocessed clauses: 22692
% 4.86/1.03  # ...number of literals in the above   : 84283
% 4.86/1.03  # Current number of archived formulas  : 0
% 4.86/1.03  # Current number of archived clauses   : 199
% 4.86/1.03  # Clause-clause subsumption calls (NU) : 314608
% 4.86/1.03  # Rec. Clause-clause subsumption calls : 204846
% 4.86/1.03  # Non-unit clause-clause subsumptions  : 952
% 4.86/1.03  # Unit Clause-clause subsumption calls : 2629
% 4.86/1.03  # Rewrite failures with RHS unbound    : 0
% 4.86/1.03  # BW rewrite match attempts            : 342
% 4.86/1.03  # BW rewrite match successes           : 11
% 4.86/1.03  # Condensation attempts                : 0
% 4.86/1.03  # Condensation successes               : 0
% 4.86/1.03  # Termbank termtop insertions          : 525802
% 4.86/1.03  
% 4.86/1.03  # -------------------------------------------------
% 4.86/1.03  # User time                : 0.561 s
% 4.86/1.03  # System time              : 0.015 s
% 4.86/1.03  # Total time               : 0.577 s
% 4.86/1.03  # Maximum resident set size: 1860 pages
% 4.86/1.03  
% 4.86/1.03  # -------------------------------------------------
% 4.86/1.03  # User time                : 0.562 s
% 4.86/1.03  # System time              : 0.017 s
% 4.86/1.03  # Total time               : 0.580 s
% 4.86/1.03  # Maximum resident set size: 1732 pages
% 4.86/1.03  % E---3.1 exiting
% 4.86/1.03  % E---3.1 exiting
%------------------------------------------------------------------------------