TSTP Solution File: SET649+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET649+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 19:23:15 EDT 2023

% Result   : Theorem 0.16s 0.79s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   60 (  14 unt;   0 def)
%            Number of atoms       :  250 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  307 ( 117   ~; 120   |;  23   &)
%                                         (   7 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-2 aty)
%            Number of variables   :  115 (   2 sgn;  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p3,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ! [X4] :
                  ( ilf_type(X4,set_type)
                 => ( ( subset(X1,X2)
                      & subset(X3,X4) )
                   => subset(cross_product(X1,X3),cross_product(X2,X4)) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jBn1LD2jvz/E---3.1_5472.p',p3) ).

fof(p26,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.jBn1LD2jvz/E---3.1_5472.p',p26) ).

fof(prove_relset_1_11,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,binary_relation_type)
             => ( ( subset(domain_of(X3),X1)
                  & subset(range_of(X3),X2) )
               => ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jBn1LD2jvz/E---3.1_5472.p',prove_relset_1_11) ).

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.jBn1LD2jvz/E---3.1_5472.p',p1) ).

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.jBn1LD2jvz/E---3.1_5472.p',p12) ).

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.jBn1LD2jvz/E---3.1_5472.p',p20) ).

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.jBn1LD2jvz/E---3.1_5472.p',p2) ).

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.jBn1LD2jvz/E---3.1_5472.p',p24) ).

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.jBn1LD2jvz/E---3.1_5472.p',p22) ).

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.jBn1LD2jvz/E---3.1_5472.p',p15) ).

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.jBn1LD2jvz/E---3.1_5472.p',p4) ).

fof(c_0_11,plain,
    ! [X26,X27,X28,X29] :
      ( ~ ilf_type(X26,set_type)
      | ~ ilf_type(X27,set_type)
      | ~ ilf_type(X28,set_type)
      | ~ ilf_type(X29,set_type)
      | ~ subset(X26,X27)
      | ~ subset(X28,X29)
      | subset(cross_product(X26,X28),cross_product(X27,X29)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])]) ).

fof(c_0_12,plain,
    ! [X17] : ilf_type(X17,set_type),
    inference(variable_rename,[status(thm)],[p26]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,set_type)
           => ! [X3] :
                ( ilf_type(X3,binary_relation_type)
               => ( ( subset(domain_of(X3),X1)
                    & subset(range_of(X3),X2) )
                 => ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_11]) ).

cnf(c_0_14,plain,
    ( subset(cross_product(X1,X3),cross_product(X2,X4))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ subset(X1,X2)
    | ~ subset(X3,X4) ),
    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]) ).

fof(c_0_16,negated_conjecture,
    ( ilf_type(esk1_0,set_type)
    & ilf_type(esk2_0,set_type)
    & ilf_type(esk3_0,binary_relation_type)
    & subset(domain_of(esk3_0),esk1_0)
    & subset(range_of(esk3_0),esk2_0)
    & ~ ilf_type(esk3_0,relation_type(esk1_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_17,plain,
    ! [X8,X9,X10] :
      ( ~ ilf_type(X8,set_type)
      | ~ ilf_type(X9,set_type)
      | ~ ilf_type(X10,set_type)
      | ~ subset(X8,X9)
      | ~ subset(X9,X10)
      | subset(X8,X10) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).

cnf(c_0_18,plain,
    ( subset(cross_product(X1,X2),cross_product(X3,X4))
    | ~ subset(X2,X4)
    | ~ subset(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[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]),c_0_15])]) ).

cnf(c_0_19,negated_conjecture,
    subset(range_of(esk3_0),esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_20,plain,
    ! [X12,X13,X14] :
      ( ( ~ subset(X12,X13)
        | ~ ilf_type(X14,set_type)
        | ~ member(X14,X12)
        | member(X14,X13)
        | ~ ilf_type(X13,set_type)
        | ~ ilf_type(X12,set_type) )
      & ( ilf_type(esk5_2(X12,X13),set_type)
        | subset(X12,X13)
        | ~ ilf_type(X13,set_type)
        | ~ ilf_type(X12,set_type) )
      & ( member(esk5_2(X12,X13),X12)
        | subset(X12,X13)
        | ~ ilf_type(X13,set_type)
        | ~ ilf_type(X12,set_type) )
      & ( ~ member(esk5_2(X12,X13),X13)
        | subset(X12,X13)
        | ~ ilf_type(X13,set_type)
        | ~ ilf_type(X12,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])])])])]) ).

fof(c_0_21,plain,
    ! [X53,X54,X55] :
      ( ( ~ member(X53,power_set(X54))
        | ~ ilf_type(X55,set_type)
        | ~ member(X55,X53)
        | member(X55,X54)
        | ~ ilf_type(X54,set_type)
        | ~ ilf_type(X53,set_type) )
      & ( ilf_type(esk13_2(X53,X54),set_type)
        | member(X53,power_set(X54))
        | ~ ilf_type(X54,set_type)
        | ~ ilf_type(X53,set_type) )
      & ( member(esk13_2(X53,X54),X53)
        | member(X53,power_set(X54))
        | ~ ilf_type(X54,set_type)
        | ~ ilf_type(X53,set_type) )
      & ( ~ member(esk13_2(X53,X54),X54)
        | member(X53,power_set(X54))
        | ~ ilf_type(X54,set_type)
        | ~ ilf_type(X53,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_22,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_17]) ).

cnf(c_0_23,negated_conjecture,
    ( subset(cross_product(X1,range_of(esk3_0)),cross_product(X2,esk2_0))
    | ~ subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    subset(domain_of(esk3_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_25,plain,
    ! [X25] :
      ( ~ ilf_type(X25,binary_relation_type)
      | subset(X25,cross_product(domain_of(X25),range_of(X25))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])]) ).

fof(c_0_26,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_27,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_20]) ).

cnf(c_0_28,plain,
    ( member(esk13_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_21]) ).

cnf(c_0_29,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_22,c_0_15]),c_0_15]),c_0_15])]) ).

cnf(c_0_30,negated_conjecture,
    subset(cross_product(domain_of(esk3_0),range_of(esk3_0)),cross_product(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,plain,
    ( subset(X1,cross_product(domain_of(X1),range_of(X1)))
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    ilf_type(esk3_0,binary_relation_type),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_33,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_34,plain,
    ! [X43,X44] :
      ( ( ~ empty(X43)
        | ~ ilf_type(X44,set_type)
        | ~ member(X44,X43)
        | ~ ilf_type(X43,set_type) )
      & ( ilf_type(esk9_1(X43),set_type)
        | empty(X43)
        | ~ ilf_type(X43,set_type) )
      & ( member(esk9_1(X43),X43)
        | empty(X43)
        | ~ ilf_type(X43,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_26])])])])]) ).

cnf(c_0_35,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_27,c_0_15]),c_0_15]),c_0_15])]) ).

cnf(c_0_36,plain,
    ( member(esk13_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_15]),c_0_15])]) ).

cnf(c_0_37,negated_conjecture,
    ( subset(X1,cross_product(esk1_0,esk2_0))
    | ~ subset(X1,cross_product(domain_of(esk3_0),range_of(esk3_0))) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    subset(esk3_0,cross_product(domain_of(esk3_0),range_of(esk3_0))),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

fof(c_0_39,plain,
    ! [X57,X58] :
      ( ( ~ ilf_type(X57,member_type(X58))
        | member(X57,X58)
        | empty(X58)
        | ~ ilf_type(X58,set_type)
        | ~ ilf_type(X57,set_type) )
      & ( ~ member(X57,X58)
        | ilf_type(X57,member_type(X58))
        | empty(X58)
        | ~ 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)],[c_0_33])])])]) ).

cnf(c_0_40,plain,
    ( ~ empty(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk13_2(X1,X2),X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_42,plain,
    ( member(esk13_2(X1,X2),X3)
    | member(X1,power_set(X2))
    | ~ subset(X1,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    subset(esk3_0,cross_product(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

fof(c_0_44,plain,
    ! [X59,X60] :
      ( ( ~ ilf_type(X60,subset_type(X59))
        | ilf_type(X60,member_type(power_set(X59)))
        | ~ ilf_type(X60,set_type)
        | ~ ilf_type(X59,set_type) )
      & ( ~ ilf_type(X60,member_type(power_set(X59)))
        | ilf_type(X60,subset_type(X59))
        | ~ 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)],[p15])])])]) ).

cnf(c_0_45,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_39]) ).

cnf(c_0_46,plain,
    ( ~ empty(X1)
    | ~ member(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_15]),c_0_15])]) ).

cnf(c_0_47,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk13_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_48,negated_conjecture,
    ( member(esk13_2(esk3_0,X1),cross_product(esk1_0,esk2_0))
    | member(esk3_0,power_set(X1)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_49,plain,
    ! [X18,X19,X20,X21] :
      ( ( ~ ilf_type(X20,subset_type(cross_product(X18,X19)))
        | ilf_type(X20,relation_type(X18,X19))
        | ~ ilf_type(X19,set_type)
        | ~ ilf_type(X18,set_type) )
      & ( ~ ilf_type(X21,relation_type(X18,X19))
        | ilf_type(X21,subset_type(cross_product(X18,X19)))
        | ~ ilf_type(X19,set_type)
        | ~ ilf_type(X18,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])]) ).

cnf(c_0_50,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_44]) ).

cnf(c_0_51,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_45,c_0_15]),c_0_15])]),c_0_46]) ).

cnf(c_0_52,negated_conjecture,
    member(esk3_0,power_set(cross_product(esk1_0,esk2_0))),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,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_49]) ).

cnf(c_0_54,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_50,c_0_15]),c_0_15])]) ).

cnf(c_0_55,negated_conjecture,
    ilf_type(esk3_0,member_type(power_set(cross_product(esk1_0,esk2_0)))),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_56,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_53,c_0_15]),c_0_15])]) ).

cnf(c_0_57,negated_conjecture,
    ilf_type(esk3_0,subset_type(cross_product(esk1_0,esk2_0))),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    ~ ilf_type(esk3_0,relation_type(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_59,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET649+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Oct  2 17:36:36 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.jBn1LD2jvz/E---3.1_5472.p
% 0.16/0.79  # Version: 3.1pre001
% 0.16/0.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.79  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.79  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.79  # Starting sh5l with 300s (1) cores
% 0.16/0.79  # sh5l with pid 5556 completed with status 0
% 0.16/0.79  # Result found by sh5l
% 0.16/0.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.79  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.79  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.79  # Starting sh5l with 300s (1) cores
% 0.16/0.79  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.79  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.79  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.79  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.16/0.79  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 5562 completed with status 0
% 0.16/0.79  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.16/0.79  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.79  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.79  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.79  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.79  # Starting sh5l with 300s (1) cores
% 0.16/0.79  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.79  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.79  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.79  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.16/0.79  # Preprocessing time       : 0.001 s
% 0.16/0.79  # Presaturation interreduction done
% 0.16/0.79  
% 0.16/0.79  # Proof found!
% 0.16/0.79  # SZS status Theorem
% 0.16/0.79  # SZS output start CNFRefutation
% See solution above
% 0.16/0.79  # Parsed axioms                        : 27
% 0.16/0.79  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.79  # Initial clauses                      : 55
% 0.16/0.79  # Removed in clause preprocessing      : 1
% 0.16/0.79  # Initial clauses in saturation        : 54
% 0.16/0.79  # Processed clauses                    : 3212
% 0.16/0.79  # ...of these trivial                  : 145
% 0.16/0.79  # ...subsumed                          : 1696
% 0.16/0.79  # ...remaining for further processing  : 1371
% 0.16/0.79  # Other redundant clauses eliminated   : 0
% 0.16/0.79  # Clauses deleted for lack of memory   : 0
% 0.16/0.79  # Backward-subsumed                    : 109
% 0.16/0.79  # Backward-rewritten                   : 14
% 0.16/0.79  # Generated clauses                    : 21225
% 0.16/0.79  # ...of the previous two non-redundant : 20312
% 0.16/0.79  # ...aggressively subsumed             : 0
% 0.16/0.79  # Contextual simplify-reflections      : 3
% 0.16/0.79  # Paramodulations                      : 21217
% 0.16/0.79  # Factorizations                       : 0
% 0.16/0.79  # NegExts                              : 0
% 0.16/0.79  # Equation resolutions                 : 0
% 0.16/0.79  # Total rewrite steps                  : 1226
% 0.16/0.79  # Propositional unsat checks           : 0
% 0.16/0.79  #    Propositional check models        : 0
% 0.16/0.79  #    Propositional check unsatisfiable : 0
% 0.16/0.79  #    Propositional clauses             : 0
% 0.16/0.79  #    Propositional clauses after purity: 0
% 0.16/0.79  #    Propositional unsat core size     : 0
% 0.16/0.79  #    Propositional preprocessing time  : 0.000
% 0.16/0.79  #    Propositional encoding time       : 0.000
% 0.16/0.79  #    Propositional solver time         : 0.000
% 0.16/0.79  #    Success case prop preproc time    : 0.000
% 0.16/0.79  #    Success case prop encoding time   : 0.000
% 0.16/0.79  #    Success case prop solver time     : 0.000
% 0.16/0.79  # Current number of processed clauses  : 1201
% 0.16/0.79  #    Positive orientable unit clauses  : 358
% 0.16/0.79  #    Positive unorientable unit clauses: 0
% 0.16/0.79  #    Negative unit clauses             : 11
% 0.16/0.79  #    Non-unit-clauses                  : 832
% 0.16/0.79  # Current number of unprocessed clauses: 17169
% 0.16/0.79  # ...number of literals in the above   : 29822
% 0.16/0.79  # Current number of archived formulas  : 0
% 0.16/0.79  # Current number of archived clauses   : 170
% 0.16/0.79  # Clause-clause subsumption calls (NU) : 47005
% 0.16/0.79  # Rec. Clause-clause subsumption calls : 42966
% 0.16/0.79  # Non-unit clause-clause subsumptions  : 1044
% 0.16/0.79  # Unit Clause-clause subsumption calls : 2108
% 0.16/0.79  # Rewrite failures with RHS unbound    : 0
% 0.16/0.79  # BW rewrite match attempts            : 707
% 0.16/0.79  # BW rewrite match successes           : 14
% 0.16/0.79  # Condensation attempts                : 0
% 0.16/0.79  # Condensation successes               : 0
% 0.16/0.79  # Termbank termtop insertions          : 403801
% 0.16/0.79  
% 0.16/0.79  # -------------------------------------------------
% 0.16/0.79  # User time                : 0.329 s
% 0.16/0.79  # System time              : 0.014 s
% 0.16/0.79  # Total time               : 0.343 s
% 0.16/0.79  # Maximum resident set size: 1860 pages
% 0.16/0.79  
% 0.16/0.79  # -------------------------------------------------
% 0.16/0.79  # User time                : 0.330 s
% 0.16/0.79  # System time              : 0.016 s
% 0.16/0.79  # Total time               : 0.346 s
% 0.16/0.79  # Maximum resident set size: 1732 pages
% 0.16/0.79  % E---3.1 exiting
%------------------------------------------------------------------------------