TSTP Solution File: SET685+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET685+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:23:22 EDT 2023

% Result   : Theorem 0.15s 0.45s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  110 (  13 unt;   0 def)
%            Number of atoms       :  457 (   4 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  598 ( 251   ~; 245   |;  45   &)
%                                         (  10 <=>;  47  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-4 aty)
%            Number of variables   :  223 (  14 sgn;  79   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p9,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( empty(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ~ member(X2,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p9) ).

fof(p7,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/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p7) ).

fof(p27,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p27) ).

fof(p21,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ~ empty(power_set(X1))
        & ilf_type(power_set(X1),set_type) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p21) ).

fof(p17,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/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p17) ).

fof(p24,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,subset_type(cross_product(X1,X2)))
             => relation_like(X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p24) ).

fof(p5,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/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p5) ).

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/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p20) ).

fof(prove_relset_1_52,conjecture,
    ! [X1] :
      ( ( ~ empty(X1)
        & ilf_type(X1,set_type) )
     => ! [X2] :
          ( ( ~ empty(X2)
            & ilf_type(X2,set_type) )
         => ! [X3] :
              ( ( ~ empty(X3)
                & ilf_type(X3,set_type) )
             => ! [X4] :
                  ( ilf_type(X4,relation_type(X3,X1))
                 => ! [X5] :
                      ( ilf_type(X5,member_type(X1))
                     => ( member(X5,image4(X3,X1,X4,X2))
                      <=> ? [X6] :
                            ( ilf_type(X6,member_type(X3))
                            & member(ordered_pair(X6,X5),X4)
                            & member(X6,X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',prove_relset_1_52) ).

fof(p15,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ilf_type(X1,binary_relation_type)
      <=> ( relation_like(X1)
          & ilf_type(X1,set_type) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p15) ).

fof(p2,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)
                 => ! [X5] :
                      ( ilf_type(X5,relation_type(X1,X2))
                     => ( member(ordered_pair(X3,X4),X5)
                       => ( member(X3,X1)
                          & member(X4,X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p2) ).

fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,binary_relation_type)
             => ( member(X2,image(X3,X1))
              <=> ? [X4] :
                    ( ilf_type(X4,set_type)
                    & member(ordered_pair(X4,X2),X3)
                    & member(X4,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p1) ).

fof(p25,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ! [X4] :
                  ( ilf_type(X4,set_type)
                 => image4(X1,X2,X3,X4) = image(X3,X4) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KuiBO3WJiy/E---3.1_22113.p',p25) ).

fof(c_0_13,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( empty(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ~ member(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[p9]) ).

fof(c_0_14,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)],[p7]) ).

fof(c_0_15,plain,
    ! [X35,X36] :
      ( ( ~ empty(X35)
        | ~ ilf_type(X36,set_type)
        | ~ member(X36,X35)
        | ~ ilf_type(X35,set_type) )
      & ( ilf_type(esk4_1(X35),set_type)
        | empty(X35)
        | ~ ilf_type(X35,set_type) )
      & ( member(esk4_1(X35),X35)
        | empty(X35)
        | ~ ilf_type(X35,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_13])])])])]) ).

fof(c_0_16,plain,
    ! [X81] : ilf_type(X81,set_type),
    inference(variable_rename,[status(thm)],[p27]) ).

fof(c_0_17,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ~ empty(power_set(X1))
        & ilf_type(power_set(X1),set_type) ) ),
    inference(fof_simplification,[status(thm)],[p21]) ).

fof(c_0_18,plain,
    ! [X49,X50] :
      ( ( ~ ilf_type(X50,subset_type(X49))
        | ilf_type(X50,member_type(power_set(X49)))
        | ~ ilf_type(X50,set_type)
        | ~ ilf_type(X49,set_type) )
      & ( ~ ilf_type(X50,member_type(power_set(X49)))
        | ilf_type(X50,subset_type(X49))
        | ~ ilf_type(X50,set_type)
        | ~ ilf_type(X49,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p17])])])]) ).

fof(c_0_19,plain,
    ! [X31,X32] :
      ( ( ~ ilf_type(X31,member_type(X32))
        | member(X31,X32)
        | empty(X32)
        | ~ ilf_type(X32,set_type)
        | ~ ilf_type(X31,set_type) )
      & ( ~ member(X31,X32)
        | ilf_type(X31,member_type(X32))
        | empty(X32)
        | ~ ilf_type(X32,set_type)
        | ~ ilf_type(X31,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

cnf(c_0_20,plain,
    ( ~ empty(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_22,plain,
    ! [X61] :
      ( ( ~ empty(power_set(X61))
        | ~ ilf_type(X61,set_type) )
      & ( ilf_type(power_set(X61),set_type)
        | ~ ilf_type(X61,set_type) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).

fof(c_0_23,plain,
    ! [X70,X71,X72] :
      ( ~ ilf_type(X70,set_type)
      | ~ ilf_type(X71,set_type)
      | ~ ilf_type(X72,subset_type(cross_product(X70,X71)))
      | relation_like(X72) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p24])])]) ).

cnf(c_0_24,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_18]) ).

cnf(c_0_25,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_19]) ).

cnf(c_0_26,plain,
    ( ~ empty(X1)
    | ~ member(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21])]) ).

cnf(c_0_27,plain,
    ( member(X1,X2)
    | empty(X2)
    | ~ ilf_type(X1,member_type(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( ilf_type(X1,member_type(power_set(X2)))
    | ~ ilf_type(X1,subset_type(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,plain,
    ( ~ empty(power_set(X1))
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_30,plain,
    ! [X24,X25,X26,X27] :
      ( ( ~ ilf_type(X26,subset_type(cross_product(X24,X25)))
        | ilf_type(X26,relation_type(X24,X25))
        | ~ ilf_type(X25,set_type)
        | ~ ilf_type(X24,set_type) )
      & ( ~ ilf_type(X27,relation_type(X24,X25))
        | ilf_type(X27,subset_type(cross_product(X24,X25)))
        | ~ 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)],[p5])])])]) ).

cnf(c_0_31,plain,
    ( relation_like(X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,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_24,c_0_21]),c_0_21])]) ).

cnf(c_0_33,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_25,c_0_21]),c_0_21])]),c_0_26]) ).

cnf(c_0_34,plain,
    ( empty(X1)
    | member(X2,X1)
    | ~ ilf_type(X2,member_type(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_21]),c_0_21])]) ).

cnf(c_0_35,plain,
    ( ilf_type(X1,member_type(power_set(X2)))
    | ~ ilf_type(X1,subset_type(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_21]),c_0_21])]) ).

cnf(c_0_36,plain,
    ~ empty(power_set(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_21])]) ).

cnf(c_0_37,plain,
    ( ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X1,relation_type(X2,X3))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_38,plain,
    ! [X57,X58,X59] :
      ( ( ~ member(X57,power_set(X58))
        | ~ ilf_type(X59,set_type)
        | ~ member(X59,X57)
        | member(X59,X58)
        | ~ ilf_type(X58,set_type)
        | ~ ilf_type(X57,set_type) )
      & ( ilf_type(esk8_2(X57,X58),set_type)
        | member(X57,power_set(X58))
        | ~ ilf_type(X58,set_type)
        | ~ ilf_type(X57,set_type) )
      & ( member(esk8_2(X57,X58),X57)
        | member(X57,power_set(X58))
        | ~ ilf_type(X58,set_type)
        | ~ ilf_type(X57,set_type) )
      & ( ~ member(esk8_2(X57,X58),X58)
        | member(X57,power_set(X58))
        | ~ ilf_type(X58,set_type)
        | ~ ilf_type(X57,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])])])])]) ).

fof(c_0_39,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ empty(X1)
          & ilf_type(X1,set_type) )
       => ! [X2] :
            ( ( ~ empty(X2)
              & ilf_type(X2,set_type) )
           => ! [X3] :
                ( ( ~ empty(X3)
                  & ilf_type(X3,set_type) )
               => ! [X4] :
                    ( ilf_type(X4,relation_type(X3,X1))
                   => ! [X5] :
                        ( ilf_type(X5,member_type(X1))
                       => ( member(X5,image4(X3,X1,X4,X2))
                        <=> ? [X6] :
                              ( ilf_type(X6,member_type(X3))
                              & member(ordered_pair(X6,X5),X4)
                              & member(X6,X2) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_relset_1_52])]) ).

fof(c_0_40,plain,
    ! [X47] :
      ( ( relation_like(X47)
        | ~ ilf_type(X47,binary_relation_type)
        | ~ ilf_type(X47,set_type) )
      & ( ilf_type(X47,set_type)
        | ~ ilf_type(X47,binary_relation_type)
        | ~ ilf_type(X47,set_type) )
      & ( ~ relation_like(X47)
        | ~ ilf_type(X47,set_type)
        | ilf_type(X47,binary_relation_type)
        | ~ ilf_type(X47,set_type) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])]) ).

cnf(c_0_41,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_21]),c_0_21])]) ).

cnf(c_0_42,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ member(X1,power_set(X2)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_43,plain,
    ( member(X1,power_set(X2))
    | ~ ilf_type(X1,subset_type(X2)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_44,plain,
    ( ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_21]),c_0_21])]) ).

cnf(c_0_45,plain,
    ( member(X3,X2)
    | ~ member(X1,power_set(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_38]) ).

fof(c_0_46,negated_conjecture,
    ! [X87] :
      ( ~ empty(esk12_0)
      & ilf_type(esk12_0,set_type)
      & ~ empty(esk13_0)
      & ilf_type(esk13_0,set_type)
      & ~ empty(esk14_0)
      & ilf_type(esk14_0,set_type)
      & ilf_type(esk15_0,relation_type(esk14_0,esk12_0))
      & ilf_type(esk16_0,member_type(esk12_0))
      & ( ~ member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))
        | ~ ilf_type(X87,member_type(esk14_0))
        | ~ member(ordered_pair(X87,esk16_0),esk15_0)
        | ~ member(X87,esk13_0) )
      & ( ilf_type(esk17_0,member_type(esk14_0))
        | member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)) )
      & ( member(ordered_pair(esk17_0,esk16_0),esk15_0)
        | member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)) )
      & ( member(esk17_0,esk13_0)
        | member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)) ) ),
    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_39])])])])]) ).

cnf(c_0_47,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    ( relation_like(X1)
    | ~ member(X1,power_set(cross_product(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_49,plain,
    ( member(X1,power_set(cross_product(X2,X3)))
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_50,plain,
    ! [X12,X13,X14,X15,X16] :
      ( ( member(X14,X12)
        | ~ member(ordered_pair(X14,X15),X16)
        | ~ ilf_type(X16,relation_type(X12,X13))
        | ~ ilf_type(X15,set_type)
        | ~ ilf_type(X14,set_type)
        | ~ ilf_type(X13,set_type)
        | ~ ilf_type(X12,set_type) )
      & ( member(X15,X13)
        | ~ member(ordered_pair(X14,X15),X16)
        | ~ ilf_type(X16,relation_type(X12,X13))
        | ~ ilf_type(X15,set_type)
        | ~ ilf_type(X14,set_type)
        | ~ ilf_type(X13,set_type)
        | ~ ilf_type(X12,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])]) ).

cnf(c_0_51,plain,
    ( member(X1,X2)
    | ~ member(X3,power_set(X2))
    | ~ member(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_21]),c_0_21]),c_0_21])]) ).

cnf(c_0_52,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_30]) ).

cnf(c_0_53,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk8_2(X1,X2),X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_54,plain,
    ( member(esk8_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_38]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))
    | ~ ilf_type(X1,member_type(esk14_0))
    | ~ member(ordered_pair(X1,esk16_0),esk15_0)
    | ~ member(X1,esk13_0) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_56,negated_conjecture,
    ( member(ordered_pair(esk17_0,esk16_0),esk15_0)
    | member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_57,plain,
    ! [X7,X8,X9,X11] :
      ( ( ilf_type(esk1_3(X7,X8,X9),set_type)
        | ~ member(X8,image(X9,X7))
        | ~ ilf_type(X9,binary_relation_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type) )
      & ( member(ordered_pair(esk1_3(X7,X8,X9),X8),X9)
        | ~ member(X8,image(X9,X7))
        | ~ ilf_type(X9,binary_relation_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type) )
      & ( member(esk1_3(X7,X8,X9),X7)
        | ~ member(X8,image(X9,X7))
        | ~ ilf_type(X9,binary_relation_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type) )
      & ( ~ ilf_type(X11,set_type)
        | ~ member(ordered_pair(X11,X8),X9)
        | ~ member(X11,X7)
        | member(X8,image(X9,X7))
        | ~ ilf_type(X9,binary_relation_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,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)],[p1])])])])]) ).

cnf(c_0_58,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type) ),
    inference(cn,[status(thm)],[c_0_47]) ).

cnf(c_0_59,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_60,negated_conjecture,
    ilf_type(esk15_0,relation_type(esk14_0,esk12_0)),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_61,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),X4)
    | ~ ilf_type(X4,relation_type(X2,X5))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X5,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_62,plain,
    ( member(X1,cross_product(X2,X3))
    | ~ member(X1,X4)
    | ~ ilf_type(X4,relation_type(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_49]) ).

cnf(c_0_63,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_52,c_0_21]),c_0_21])]) ).

cnf(c_0_64,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk8_2(X1,X2),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_21]),c_0_21])]) ).

cnf(c_0_65,plain,
    ( member(esk8_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_21]),c_0_21])]) ).

cnf(c_0_66,negated_conjecture,
    ( member(ordered_pair(esk17_0,esk16_0),esk15_0)
    | ~ member(ordered_pair(X1,esk16_0),esk15_0)
    | ~ member(X1,esk13_0)
    | ~ ilf_type(X1,member_type(esk14_0)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_67,plain,
    ( member(ordered_pair(esk1_3(X1,X2,X3),X2),X3)
    | ~ member(X2,image(X3,X1))
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_68,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_21])]) ).

cnf(c_0_69,negated_conjecture,
    relation_like(esk15_0),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_70,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),X4)
    | ~ ilf_type(X4,relation_type(X2,X5)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_21]),c_0_21]),c_0_21]),c_0_21])]) ).

cnf(c_0_71,negated_conjecture,
    ( member(X1,cross_product(esk14_0,esk12_0))
    | ~ member(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_60]) ).

cnf(c_0_72,plain,
    ( ilf_type(X1,relation_type(X2,X3))
    | ~ member(X1,power_set(cross_product(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_63,c_0_42]) ).

cnf(c_0_73,plain,
    member(X1,power_set(X1)),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_74,plain,
    ! [X73,X74,X75,X76] :
      ( ~ ilf_type(X73,set_type)
      | ~ ilf_type(X74,set_type)
      | ~ ilf_type(X75,relation_type(X73,X74))
      | ~ ilf_type(X76,set_type)
      | image4(X73,X74,X75,X76) = image(X75,X76) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p25])])]) ).

cnf(c_0_75,negated_conjecture,
    ( member(esk17_0,esk13_0)
    | member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_76,negated_conjecture,
    ( member(ordered_pair(esk17_0,esk16_0),esk15_0)
    | ~ member(ordered_pair(X1,esk16_0),esk15_0)
    | ~ member(X1,esk13_0)
    | ~ member(X1,esk14_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_33]) ).

cnf(c_0_77,plain,
    ( member(ordered_pair(esk1_3(X1,X2,X3),X2),X3)
    | ~ member(X2,image(X3,X1))
    | ~ ilf_type(X3,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_21]),c_0_21])]) ).

cnf(c_0_78,negated_conjecture,
    ilf_type(esk15_0,binary_relation_type),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_79,plain,
    ( member(esk1_3(X1,X2,X3),X1)
    | ~ member(X2,image(X3,X1))
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_80,negated_conjecture,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),esk15_0)
    | ~ ilf_type(cross_product(esk14_0,esk12_0),relation_type(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_81,plain,
    ilf_type(cross_product(X1,X2),relation_type(X1,X2)),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_82,plain,
    ( image4(X1,X2,X3,X4) = image(X3,X4)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X4,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_83,negated_conjecture,
    ( member(esk17_0,esk13_0)
    | ~ member(ordered_pair(X1,esk16_0),esk15_0)
    | ~ member(X1,esk13_0)
    | ~ ilf_type(X1,member_type(esk14_0)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_75]) ).

cnf(c_0_84,negated_conjecture,
    ( ilf_type(esk17_0,member_type(esk14_0))
    | member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_85,negated_conjecture,
    ( member(ordered_pair(esk17_0,esk16_0),esk15_0)
    | ~ member(esk1_3(X1,esk16_0,esk15_0),esk13_0)
    | ~ member(esk1_3(X1,esk16_0,esk15_0),esk14_0)
    | ~ member(esk16_0,image(esk15_0,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).

cnf(c_0_86,plain,
    ( member(esk1_3(X1,X2,X3),X1)
    | ~ member(X2,image(X3,X1))
    | ~ ilf_type(X3,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_21]),c_0_21])]) ).

cnf(c_0_87,negated_conjecture,
    ( member(X1,esk14_0)
    | ~ member(ordered_pair(X1,X2),esk15_0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_88,plain,
    ( image4(X1,X2,X3,X4) = image(X3,X4)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_21]),c_0_21]),c_0_21])]) ).

cnf(c_0_89,negated_conjecture,
    ( member(esk17_0,esk13_0)
    | ~ member(ordered_pair(X1,esk16_0),esk15_0)
    | ~ member(X1,esk13_0)
    | ~ member(X1,esk14_0) ),
    inference(spm,[status(thm)],[c_0_83,c_0_33]) ).

cnf(c_0_90,negated_conjecture,
    ( ilf_type(esk17_0,member_type(esk14_0))
    | ~ member(ordered_pair(X1,esk16_0),esk15_0)
    | ~ member(X1,esk13_0)
    | ~ ilf_type(X1,member_type(esk14_0)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_84]) ).

cnf(c_0_91,plain,
    ( member(X2,image(X3,X4))
    | ~ ilf_type(X1,set_type)
    | ~ member(ordered_pair(X1,X2),X3)
    | ~ member(X1,X4)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X4,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_92,negated_conjecture,
    ( member(ordered_pair(esk17_0,esk16_0),esk15_0)
    | ~ member(esk1_3(esk13_0,esk16_0,esk15_0),esk14_0)
    | ~ member(esk16_0,image(esk15_0,esk13_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_78])]) ).

cnf(c_0_93,negated_conjecture,
    ( member(esk1_3(X1,X2,esk15_0),esk14_0)
    | ~ member(X2,image(esk15_0,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_77]),c_0_78])]) ).

cnf(c_0_94,negated_conjecture,
    ( member(ordered_pair(esk17_0,esk16_0),esk15_0)
    | member(esk16_0,image(esk15_0,esk13_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_88]),c_0_60])]) ).

cnf(c_0_95,negated_conjecture,
    ( member(esk17_0,esk13_0)
    | ~ member(esk1_3(X1,esk16_0,esk15_0),esk13_0)
    | ~ member(esk1_3(X1,esk16_0,esk15_0),esk14_0)
    | ~ member(esk16_0,image(esk15_0,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_77]),c_0_78])]) ).

cnf(c_0_96,negated_conjecture,
    ( ilf_type(esk17_0,member_type(esk14_0))
    | ~ member(esk1_3(X1,esk16_0,esk15_0),esk13_0)
    | ~ member(esk16_0,image(esk15_0,X1))
    | ~ ilf_type(esk1_3(X1,esk16_0,esk15_0),member_type(esk14_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_77]),c_0_78])]) ).

cnf(c_0_97,plain,
    ( member(X1,image(X2,X3))
    | ~ member(ordered_pair(X4,X1),X2)
    | ~ member(X4,X3)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_21]),c_0_21]),c_0_21])]) ).

cnf(c_0_98,negated_conjecture,
    member(ordered_pair(esk17_0,esk16_0),esk15_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).

cnf(c_0_99,negated_conjecture,
    ( member(esk17_0,esk13_0)
    | ~ member(esk1_3(esk13_0,esk16_0,esk15_0),esk14_0)
    | ~ member(esk16_0,image(esk15_0,esk13_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_86]),c_0_78])]) ).

cnf(c_0_100,negated_conjecture,
    ( member(esk16_0,image(esk15_0,esk13_0))
    | member(esk17_0,esk13_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_88]),c_0_60])]) ).

cnf(c_0_101,negated_conjecture,
    ( ilf_type(esk17_0,member_type(esk14_0))
    | ~ member(esk1_3(X1,esk16_0,esk15_0),esk13_0)
    | ~ member(esk1_3(X1,esk16_0,esk15_0),esk14_0)
    | ~ member(esk16_0,image(esk15_0,X1)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_33]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ member(esk16_0,image(esk15_0,esk13_0))
    | ~ member(ordered_pair(X1,esk16_0),esk15_0)
    | ~ member(X1,esk13_0)
    | ~ ilf_type(X1,member_type(esk14_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_88]),c_0_60])]) ).

cnf(c_0_103,negated_conjecture,
    ( member(esk16_0,image(esk15_0,X1))
    | ~ member(esk17_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_78])]) ).

cnf(c_0_104,negated_conjecture,
    member(esk17_0,esk13_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_93]),c_0_100]) ).

cnf(c_0_105,negated_conjecture,
    ( ilf_type(esk17_0,member_type(esk14_0))
    | ~ member(esk1_3(esk13_0,esk16_0,esk15_0),esk14_0)
    | ~ member(esk16_0,image(esk15_0,esk13_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_86]),c_0_78])]) ).

cnf(c_0_106,negated_conjecture,
    ( member(esk16_0,image(esk15_0,esk13_0))
    | ilf_type(esk17_0,member_type(esk14_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_88]),c_0_60])]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ member(ordered_pair(X1,esk16_0),esk15_0)
    | ~ member(X1,esk13_0)
    | ~ ilf_type(X1,member_type(esk14_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).

cnf(c_0_108,negated_conjecture,
    ilf_type(esk17_0,member_type(esk14_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_93]),c_0_106]) ).

cnf(c_0_109,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_98]),c_0_104])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET685+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n005.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 16:36:31 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  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.KuiBO3WJiy/E---3.1_22113.p
% 0.15/0.45  # Version: 3.1pre001
% 0.15/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.45  # Starting sh5l with 300s (1) cores
% 0.15/0.45  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 22190 completed with status 0
% 0.15/0.45  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45  # No SInE strategy applied
% 0.15/0.45  # Search class: FGHSF-FFMM31-SFFFFFNN
% 0.15/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.45  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.45  # Starting new_bool_1 with 136s (1) cores
% 0.15/0.45  # Starting U----_212g_01_C10_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.45  # U----_212g_01_C10_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 22201 completed with status 0
% 0.15/0.45  # Result found by U----_212g_01_C10_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45  # No SInE strategy applied
% 0.15/0.45  # Search class: FGHSF-FFMM31-SFFFFFNN
% 0.15/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.45  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.45  # Starting new_bool_1 with 136s (1) cores
% 0.15/0.45  # Starting U----_212g_01_C10_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.45  # Preprocessing time       : 0.002 s
% 0.15/0.45  # Presaturation interreduction done
% 0.15/0.45  
% 0.15/0.45  # Proof found!
% 0.15/0.45  # SZS status Theorem
% 0.15/0.45  # SZS output start CNFRefutation
% See solution above
% 0.15/0.45  # Parsed axioms                        : 28
% 0.15/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.45  # Initial clauses                      : 64
% 0.15/0.45  # Removed in clause preprocessing      : 3
% 0.15/0.45  # Initial clauses in saturation        : 61
% 0.15/0.45  # Processed clauses                    : 375
% 0.15/0.45  # ...of these trivial                  : 20
% 0.15/0.45  # ...subsumed                          : 83
% 0.15/0.45  # ...remaining for further processing  : 272
% 0.15/0.45  # Other redundant clauses eliminated   : 3
% 0.15/0.45  # Clauses deleted for lack of memory   : 0
% 0.15/0.45  # Backward-subsumed                    : 5
% 0.15/0.45  # Backward-rewritten                   : 29
% 0.15/0.45  # Generated clauses                    : 705
% 0.15/0.45  # ...of the previous two non-redundant : 662
% 0.15/0.45  # ...aggressively subsumed             : 0
% 0.15/0.45  # Contextual simplify-reflections      : 7
% 0.15/0.45  # Paramodulations                      : 700
% 0.15/0.45  # Factorizations                       : 2
% 0.15/0.45  # NegExts                              : 0
% 0.15/0.45  # Equation resolutions                 : 3
% 0.15/0.45  # Total rewrite steps                  : 202
% 0.15/0.45  # Propositional unsat checks           : 0
% 0.15/0.45  #    Propositional check models        : 0
% 0.15/0.45  #    Propositional check unsatisfiable : 0
% 0.15/0.45  #    Propositional clauses             : 0
% 0.15/0.45  #    Propositional clauses after purity: 0
% 0.15/0.45  #    Propositional unsat core size     : 0
% 0.15/0.45  #    Propositional preprocessing time  : 0.000
% 0.15/0.45  #    Propositional encoding time       : 0.000
% 0.15/0.45  #    Propositional solver time         : 0.000
% 0.15/0.45  #    Success case prop preproc time    : 0.000
% 0.15/0.45  #    Success case prop encoding time   : 0.000
% 0.15/0.45  #    Success case prop solver time     : 0.000
% 0.15/0.45  # Current number of processed clauses  : 192
% 0.15/0.45  #    Positive orientable unit clauses  : 44
% 0.15/0.45  #    Positive unorientable unit clauses: 1
% 0.15/0.45  #    Negative unit clauses             : 5
% 0.15/0.45  #    Non-unit-clauses                  : 142
% 0.15/0.45  # Current number of unprocessed clauses: 392
% 0.15/0.45  # ...number of literals in the above   : 1129
% 0.15/0.45  # Current number of archived formulas  : 0
% 0.15/0.45  # Current number of archived clauses   : 78
% 0.15/0.45  # Clause-clause subsumption calls (NU) : 2888
% 0.15/0.45  # Rec. Clause-clause subsumption calls : 2083
% 0.15/0.45  # Non-unit clause-clause subsumptions  : 60
% 0.15/0.45  # Unit Clause-clause subsumption calls : 336
% 0.15/0.45  # Rewrite failures with RHS unbound    : 0
% 0.15/0.45  # BW rewrite match attempts            : 22
% 0.15/0.45  # BW rewrite match successes           : 6
% 0.15/0.45  # Condensation attempts                : 0
% 0.15/0.45  # Condensation successes               : 0
% 0.15/0.45  # Termbank termtop insertions          : 14993
% 0.15/0.45  
% 0.15/0.45  # -------------------------------------------------
% 0.15/0.45  # User time                : 0.027 s
% 0.15/0.45  # System time              : 0.003 s
% 0.15/0.45  # Total time               : 0.030 s
% 0.15/0.45  # Maximum resident set size: 1916 pages
% 0.15/0.45  
% 0.15/0.45  # -------------------------------------------------
% 0.15/0.45  # User time                : 0.126 s
% 0.15/0.45  # System time              : 0.007 s
% 0.15/0.45  # Total time               : 0.134 s
% 0.15/0.45  # Maximum resident set size: 1732 pages
% 0.15/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------