↑ Up

E-SAT---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : ITP111^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:05:33 AM UTC 2026

% Result   : Theorem 12.53s 2.02s
% Output   : CNFRefutation 12.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   58 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  309 (  67 equ;   0 cnn)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives : 1106 ( 168   ~; 189   |;  34   &; 687   @)
%                                         (   5 <=>;  21  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   7 con; 0-2 aty)
%            Number of variables   :   71 (   0   ^;  64   !;   7   ?;  71   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    extended_ereal: $tType ).

thf(decl_sort2,type,
    a: $tType ).

thf(decl_sort3,type,
    set_a: $tType ).

thf(decl_23,type,
    extend1289208545_ereal: extended_ereal ).

thf(decl_27,type,
    uminus1208298309_ereal: extended_ereal > extended_ereal ).

thf(decl_29,type,
    lower_191460856_ereal: a > ( a > extended_ereal ) > $o ).

thf(decl_30,type,
    ord_le2001149050_ereal: extended_ereal > extended_ereal > $o ).

thf(decl_33,type,
    topolo1276428101open_a: set_a > $o ).

thf(decl_34,type,
    member_a: a > set_a > $o ).

thf(decl_35,type,
    f: a > extended_ereal ).

thf(decl_36,type,
    x0: a ).

thf(decl_37,type,
    esk1_0: extended_ereal ).

thf(decl_38,type,
    esk2_1: set_a > a ).

thf(decl_39,type,
    esk3_1: extended_ereal > set_a ).

thf(decl_76,type,
    esk40_1: extended_ereal > set_a ).

thf(decl_77,type,
    esk41_0: extended_ereal ).

thf(decl_78,type,
    esk42_1: set_a > a ).

thf(decl_79,type,
    esk43_1: extended_ereal > set_a ).

thf(decl_80,type,
    esk44_0: extended_ereal ).

thf(decl_81,type,
    esk45_1: set_a > a ).

thf(decl_82,type,
    esk46_1: extended_ereal > set_a ).

thf(decl_83,type,
    esk47_0: extended_ereal ).

thf(decl_84,type,
    esk48_1: set_a > a ).

thf(conj_0,conjecture,
    ( ( lower_191460856_ereal @ x0 @ f )
  <~> ~ ! [X1: extended_ereal] :
          ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
         => ? [X2: set_a] :
              ( ( topolo1276428101open_a @ X2 )
              & ( member_a @ x0 @ X2 )
              & ! [X3: a] :
                  ( ( member_a @ X3 @ X2 )
                 => ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AlvCxWuY1Q/E---3.1_1760363.p',conj_0) ).

thf(fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
    ( ( ( f @ x0 )
      = extend1289208545_ereal )
   => ( ( lower_191460856_ereal @ x0 @ f )
    <=> ! [X1: extended_ereal] :
          ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
         => ? [X2: set_a] :
              ( ( topolo1276428101open_a @ X2 )
              & ( member_a @ x0 @ X2 )
              & ! [X3: a] :
                  ( ( member_a @ X3 @ X2 )
                 => ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AlvCxWuY1Q/E---3.1_1760363.p',fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062) ).

thf(fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
    ( ( ( f @ x0 )
      = ( uminus1208298309_ereal @ extend1289208545_ereal ) )
   => ( ( lower_191460856_ereal @ x0 @ f )
    <=> ! [X1: extended_ereal] :
          ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
         => ? [X2: set_a] :
              ( ( topolo1276428101open_a @ X2 )
              & ( member_a @ x0 @ X2 )
              & ! [X3: a] :
                  ( ( member_a @ X3 @ X2 )
                 => ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AlvCxWuY1Q/E---3.1_1760363.p',fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062) ).

thf(fact_3_lsc__at__MInfty,axiom,
    ! [X4: a > extended_ereal,X5: a] :
      ( ( ( X4 @ X5 )
        = ( uminus1208298309_ereal @ extend1289208545_ereal ) )
     => ( lower_191460856_ereal @ X5 @ X4 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AlvCxWuY1Q/E---3.1_1760363.p',fact_3_lsc__at__MInfty) ).

thf(fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
    ( ( ( f @ x0 )
     != ( uminus1208298309_ereal @ extend1289208545_ereal ) )
   => ( ( ( f @ x0 )
       != extend1289208545_ereal )
     => ( ( lower_191460856_ereal @ x0 @ f )
      <=> ! [X1: extended_ereal] :
            ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
           => ? [X2: set_a] :
                ( ( topolo1276428101open_a @ X2 )
                & ( member_a @ x0 @ X2 )
                & ! [X3: a] :
                    ( ( member_a @ X3 @ X2 )
                   => ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AlvCxWuY1Q/E---3.1_1760363.p',fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062) ).

thf(c_0_5,negated_conjecture,
    ~ ( ( lower_191460856_ereal @ x0 @ f )
    <~> ~ ! [X1: extended_ereal] :
            ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
           => ? [X2: set_a] :
                ( ( topolo1276428101open_a @ X2 )
                & ( member_a @ x0 @ X2 )
                & ! [X3: a] :
                    ( ( member_a @ X3 @ X2 )
                   => ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(c_0_6,negated_conjecture,
    ~ ~ ( ( lower_191460856_ereal @ x0 @ f )
      <=> ~ ! [X1: extended_ereal] :
              ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
             => ? [X2: set_a] :
                  ( ( topolo1276428101open_a @ X2 )
                  & ( member_a @ x0 @ X2 )
                  & ! [X3: a] :
                      ( ( member_a @ X3 @ X2 )
                     => ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

thf(c_0_7,plain,
    ! [X449: extended_ereal,X451: a,X453: set_a] :
      ( ( ( topolo1276428101open_a @ ( esk40_1 @ X449 ) )
        | ~ ( ord_le2001149050_ereal @ X449 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != extend1289208545_ereal ) )
      & ( ( member_a @ x0 @ ( esk40_1 @ X449 ) )
        | ~ ( ord_le2001149050_ereal @ X449 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != extend1289208545_ereal ) )
      & ( ~ ( member_a @ X451 @ ( esk40_1 @ X449 ) )
        | ( ord_le2001149050_ereal @ X449 @ ( f @ X451 ) )
        | ~ ( ord_le2001149050_ereal @ X449 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != extend1289208545_ereal ) )
      & ( ( ord_le2001149050_ereal @ esk41_0 @ ( f @ x0 ) )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != extend1289208545_ereal ) )
      & ( ( member_a @ ( esk42_1 @ X453 ) @ X453 )
        | ~ ( topolo1276428101open_a @ X453 )
        | ~ ( member_a @ x0 @ X453 )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != extend1289208545_ereal ) )
      & ( ~ ( ord_le2001149050_ereal @ esk41_0 @ ( f @ ( esk42_1 @ X453 ) ) )
        | ~ ( topolo1276428101open_a @ X453 )
        | ~ ( member_a @ x0 @ X453 )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != extend1289208545_ereal ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062])])])])])]) ).

thf(c_0_8,negated_conjecture,
    ! [X287: set_a,X289: extended_ereal,X291: a] :
      ( ( ( ord_le2001149050_ereal @ esk1_0 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f ) )
      & ( ( member_a @ ( esk2_1 @ X287 ) @ X287 )
        | ~ ( topolo1276428101open_a @ X287 )
        | ~ ( member_a @ x0 @ X287 )
        | ~ ( lower_191460856_ereal @ x0 @ f ) )
      & ( ~ ( ord_le2001149050_ereal @ esk1_0 @ ( f @ ( esk2_1 @ X287 ) ) )
        | ~ ( topolo1276428101open_a @ X287 )
        | ~ ( member_a @ x0 @ X287 )
        | ~ ( lower_191460856_ereal @ x0 @ f ) )
      & ( ( topolo1276428101open_a @ ( esk3_1 @ X289 ) )
        | ~ ( ord_le2001149050_ereal @ X289 @ ( f @ x0 ) )
        | ( lower_191460856_ereal @ x0 @ f ) )
      & ( ( member_a @ x0 @ ( esk3_1 @ X289 ) )
        | ~ ( ord_le2001149050_ereal @ X289 @ ( f @ x0 ) )
        | ( lower_191460856_ereal @ x0 @ f ) )
      & ( ~ ( member_a @ X291 @ ( esk3_1 @ X289 ) )
        | ( ord_le2001149050_ereal @ X289 @ ( f @ X291 ) )
        | ~ ( ord_le2001149050_ereal @ X289 @ ( f @ x0 ) )
        | ( lower_191460856_ereal @ x0 @ f ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])]) ).

thf(c_0_9,plain,
    ! [X3: a,X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) )
      | ~ ( member_a @ X3 @ ( esk40_1 @ X1 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f )
      | ( ( f @ x0 )
       != extend1289208545_ereal ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_10,negated_conjecture,
    ! [X2: set_a] :
      ( ( member_a @ ( esk2_1 @ X2 ) @ X2 )
      | ~ ( topolo1276428101open_a @ X2 )
      | ~ ( member_a @ x0 @ X2 )
      | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_11,plain,
    ! [X1: extended_ereal] :
      ( ( topolo1276428101open_a @ ( esk40_1 @ X1 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f )
      | ( ( f @ x0 )
       != extend1289208545_ereal ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_12,plain,
    ! [X1: extended_ereal] :
      ( ( member_a @ x0 @ ( esk40_1 @ X1 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f )
      | ( ( f @ x0 )
       != extend1289208545_ereal ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_13,plain,
    ! [X455: extended_ereal,X457: a,X459: set_a] :
      ( ( ( topolo1276428101open_a @ ( esk43_1 @ X455 ) )
        | ~ ( ord_le2001149050_ereal @ X455 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ( member_a @ x0 @ ( esk43_1 @ X455 ) )
        | ~ ( ord_le2001149050_ereal @ X455 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ~ ( member_a @ X457 @ ( esk43_1 @ X455 ) )
        | ( ord_le2001149050_ereal @ X455 @ ( f @ X457 ) )
        | ~ ( ord_le2001149050_ereal @ X455 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ( ord_le2001149050_ereal @ esk44_0 @ ( f @ x0 ) )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ( member_a @ ( esk45_1 @ X459 ) @ X459 )
        | ~ ( topolo1276428101open_a @ X459 )
        | ~ ( member_a @ x0 @ X459 )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ~ ( ord_le2001149050_ereal @ esk44_0 @ ( f @ ( esk45_1 @ X459 ) ) )
        | ~ ( topolo1276428101open_a @ X459 )
        | ~ ( member_a @ x0 @ X459 )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
         != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062])])])])])]) ).

thf(c_0_14,plain,
    ! [X485: a > extended_ereal,X486: a] :
      ( ( ( X485 @ X486 )
       != ( uminus1208298309_ereal @ extend1289208545_ereal ) )
      | ( lower_191460856_ereal @ X486 @ X485 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_lsc__at__MInfty])])]) ).

thf(c_0_15,negated_conjecture,
    ! [X2: set_a] :
      ( ~ ( ord_le2001149050_ereal @ esk1_0 @ ( f @ ( esk2_1 @ X2 ) ) )
      | ~ ( topolo1276428101open_a @ X2 )
      | ~ ( member_a @ x0 @ X2 )
      | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ ( esk2_1 @ ( esk40_1 @ X1 ) ) ) )
      | ( ( f @ x0 )
       != extend1289208545_ereal )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]) ).

thf(c_0_17,negated_conjecture,
    ( ( ord_le2001149050_ereal @ esk1_0 @ ( f @ x0 ) )
    | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_18,plain,
    ! [X3: a,X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) )
      | ~ ( member_a @ X3 @ ( esk43_1 @ X1 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f )
      | ( ( f @ x0 )
       != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_19,plain,
    ! [X4: a > extended_ereal,X3: a] :
      ( ( lower_191460856_ereal @ X3 @ X4 )
      | ( ( X4 @ X3 )
       != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

thf(c_0_20,plain,
    ! [X1: extended_ereal] :
      ( ( member_a @ x0 @ ( esk43_1 @ X1 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f )
      | ( ( f @ x0 )
       != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_21,negated_conjecture,
    ( ( ( f @ x0 )
     != extend1289208545_ereal )
    | ~ ( member_a @ x0 @ ( esk40_1 @ esk1_0 ) )
    | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_11]),c_0_17]) ).

thf(c_0_22,plain,
    ! [X3: a,X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) )
      | ( ( uminus1208298309_ereal @ extend1289208545_ereal )
       != ( f @ x0 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( member_a @ X3 @ ( esk43_1 @ X1 ) ) ),
    inference(csr,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_23,plain,
    ! [X1: extended_ereal] :
      ( ( topolo1276428101open_a @ ( esk43_1 @ X1 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f )
      | ( ( f @ x0 )
       != ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_24,plain,
    ! [X1: extended_ereal] :
      ( ( member_a @ x0 @ ( esk43_1 @ X1 ) )
      | ( ( uminus1208298309_ereal @ extend1289208545_ereal )
       != ( f @ x0 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) ) ),
    inference(csr,[status(thm)],[c_0_20,c_0_19]) ).

thf(c_0_25,negated_conjecture,
    ! [X3: a,X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) )
      | ( lower_191460856_ereal @ x0 @ f )
      | ~ ( member_a @ X3 @ ( esk3_1 @ X1 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_26,plain,
    ! [X2: set_a] :
      ( ( member_a @ ( esk42_1 @ X2 ) @ X2 )
      | ( lower_191460856_ereal @ x0 @ f )
      | ~ ( topolo1276428101open_a @ X2 )
      | ~ ( member_a @ x0 @ X2 )
      | ( ( f @ x0 )
       != extend1289208545_ereal ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_27,negated_conjecture,
    ! [X1: extended_ereal] :
      ( ( topolo1276428101open_a @ ( esk3_1 @ X1 ) )
      | ( lower_191460856_ereal @ x0 @ f )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: extended_ereal] :
      ( ( member_a @ x0 @ ( esk3_1 @ X1 ) )
      | ( lower_191460856_ereal @ x0 @ f )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_29,negated_conjecture,
    ( ( ( f @ x0 )
     != extend1289208545_ereal )
    | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_12]),c_0_17]) ).

thf(c_0_30,plain,
    ( ( ( f @ x0 )
     != ( uminus1208298309_ereal @ extend1289208545_ereal ) )
   => ( ( ( f @ x0 )
       != extend1289208545_ereal )
     => ( ( lower_191460856_ereal @ x0 @ f )
      <=> ! [X1: extended_ereal] :
            ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
           => ? [X2: set_a] :
                ( ( topolo1276428101open_a @ X2 )
                & ( member_a @ x0 @ X2 )
                & ! [X3: a] :
                    ( ( member_a @ X3 @ X2 )
                   => ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).

thf(c_0_31,negated_conjecture,
    ! [X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ ( esk2_1 @ ( esk43_1 @ X1 ) ) ) )
      | ( ( uminus1208298309_ereal @ extend1289208545_ereal )
       != ( f @ x0 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_10]),c_0_23]),c_0_19]),c_0_24]) ).

thf(c_0_32,plain,
    ! [X2: set_a] :
      ( ( lower_191460856_ereal @ x0 @ f )
      | ~ ( ord_le2001149050_ereal @ esk41_0 @ ( f @ ( esk42_1 @ X2 ) ) )
      | ~ ( topolo1276428101open_a @ X2 )
      | ~ ( member_a @ x0 @ X2 )
      | ( ( f @ x0 )
       != extend1289208545_ereal ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_33,negated_conjecture,
    ! [X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ ( esk42_1 @ ( esk3_1 @ X1 ) ) ) )
      | ( ( f @ x0 )
       != extend1289208545_ereal )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]) ).

thf(c_0_34,plain,
    ( ( ord_le2001149050_ereal @ esk41_0 @ ( f @ x0 ) )
    | ( lower_191460856_ereal @ x0 @ f )
    | ( ( f @ x0 )
     != extend1289208545_ereal ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_35,plain,
    ! [X461: extended_ereal,X463: a,X465: set_a] :
      ( ( ( topolo1276428101open_a @ ( esk46_1 @ X461 ) )
        | ~ ( ord_le2001149050_ereal @ X461 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
          = extend1289208545_ereal )
        | ( ( f @ x0 )
          = ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ( member_a @ x0 @ ( esk46_1 @ X461 ) )
        | ~ ( ord_le2001149050_ereal @ X461 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
          = extend1289208545_ereal )
        | ( ( f @ x0 )
          = ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ~ ( member_a @ X463 @ ( esk46_1 @ X461 ) )
        | ( ord_le2001149050_ereal @ X461 @ ( f @ X463 ) )
        | ~ ( ord_le2001149050_ereal @ X461 @ ( f @ x0 ) )
        | ~ ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
          = extend1289208545_ereal )
        | ( ( f @ x0 )
          = ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ( ord_le2001149050_ereal @ esk47_0 @ ( f @ x0 ) )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
          = extend1289208545_ereal )
        | ( ( f @ x0 )
          = ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ( member_a @ ( esk48_1 @ X465 ) @ X465 )
        | ~ ( topolo1276428101open_a @ X465 )
        | ~ ( member_a @ x0 @ X465 )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
          = extend1289208545_ereal )
        | ( ( f @ x0 )
          = ( uminus1208298309_ereal @ extend1289208545_ereal ) ) )
      & ( ~ ( ord_le2001149050_ereal @ esk47_0 @ ( f @ ( esk48_1 @ X465 ) ) )
        | ~ ( topolo1276428101open_a @ X465 )
        | ~ ( member_a @ x0 @ X465 )
        | ( lower_191460856_ereal @ x0 @ f )
        | ( ( f @ x0 )
          = extend1289208545_ereal )
        | ( ( f @ x0 )
          = ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])]) ).

thf(c_0_36,negated_conjecture,
    ( ( ( uminus1208298309_ereal @ extend1289208545_ereal )
     != ( f @ x0 ) )
    | ~ ( ord_le2001149050_ereal @ esk1_0 @ ( f @ x0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_31]),c_0_23]),c_0_19]),c_0_24]) ).

thf(c_0_37,negated_conjecture,
    ( ( ( f @ x0 )
     != extend1289208545_ereal )
    | ~ ( member_a @ x0 @ ( esk3_1 @ esk41_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_27]),c_0_34]),c_0_29]) ).

thf(c_0_38,plain,
    ! [X3: a,X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) )
      | ( ( f @ x0 )
        = extend1289208545_ereal )
      | ( ( f @ x0 )
        = ( uminus1208298309_ereal @ extend1289208545_ereal ) )
      | ~ ( member_a @ X3 @ ( esk46_1 @ X1 ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_39,negated_conjecture,
    ( ( uminus1208298309_ereal @ extend1289208545_ereal )
   != ( f @ x0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_17]),c_0_19]) ).

thf(c_0_40,negated_conjecture,
    ( ( f @ x0 )
   != extend1289208545_ereal ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_34]),c_0_29]) ).

thf(c_0_41,negated_conjecture,
    ! [X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ ( esk2_1 @ ( esk46_1 @ X1 ) ) ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( member_a @ x0 @ ( esk46_1 @ X1 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f )
      | ~ ( topolo1276428101open_a @ ( esk46_1 @ X1 ) ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_10]),c_0_39]),c_0_40]) ).

thf(c_0_42,negated_conjecture,
    ( ~ ( member_a @ x0 @ ( esk46_1 @ esk1_0 ) )
    | ~ ( lower_191460856_ereal @ x0 @ f )
    | ~ ( topolo1276428101open_a @ ( esk46_1 @ esk1_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_41]),c_0_17]) ).

thf(c_0_43,plain,
    ! [X1: extended_ereal] :
      ( ( topolo1276428101open_a @ ( esk46_1 @ X1 ) )
      | ( ( f @ x0 )
        = extend1289208545_ereal )
      | ( ( f @ x0 )
        = ( uminus1208298309_ereal @ extend1289208545_ereal ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_44,plain,
    ! [X2: set_a] :
      ( ( member_a @ ( esk48_1 @ X2 ) @ X2 )
      | ( lower_191460856_ereal @ x0 @ f )
      | ( ( f @ x0 )
        = extend1289208545_ereal )
      | ( ( f @ x0 )
        = ( uminus1208298309_ereal @ extend1289208545_ereal ) )
      | ~ ( topolo1276428101open_a @ X2 )
      | ~ ( member_a @ x0 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_45,negated_conjecture,
    ( ~ ( member_a @ x0 @ ( esk46_1 @ esk1_0 ) )
    | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_39]),c_0_40]),c_0_17]) ).

thf(c_0_46,plain,
    ! [X1: extended_ereal] :
      ( ( member_a @ x0 @ ( esk46_1 @ X1 ) )
      | ( ( f @ x0 )
        = extend1289208545_ereal )
      | ( ( f @ x0 )
        = ( uminus1208298309_ereal @ extend1289208545_ereal ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( lower_191460856_ereal @ x0 @ f ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_47,plain,
    ( ( ord_le2001149050_ereal @ esk47_0 @ ( f @ x0 ) )
    | ( lower_191460856_ereal @ x0 @ f )
    | ( ( f @ x0 )
      = extend1289208545_ereal )
    | ( ( f @ x0 )
      = ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_48,plain,
    ! [X2: set_a] :
      ( ( lower_191460856_ereal @ x0 @ f )
      | ( ( f @ x0 )
        = extend1289208545_ereal )
      | ( ( f @ x0 )
        = ( uminus1208298309_ereal @ extend1289208545_ereal ) )
      | ~ ( ord_le2001149050_ereal @ esk47_0 @ ( f @ ( esk48_1 @ X2 ) ) )
      | ~ ( topolo1276428101open_a @ X2 )
      | ~ ( member_a @ x0 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

thf(c_0_49,plain,
    ! [X2: set_a] :
      ( ( ( f @ x0 )
        = extend1289208545_ereal )
      | ( member_a @ ( esk48_1 @ X2 ) @ X2 )
      | ( lower_191460856_ereal @ x0 @ f )
      | ~ ( member_a @ x0 @ X2 )
      | ~ ( topolo1276428101open_a @ X2 ) ),
    inference(csr,[status(thm)],[c_0_44,c_0_19]) ).

thf(c_0_50,negated_conjecture,
    ~ ( lower_191460856_ereal @ x0 @ f ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39]),c_0_40]),c_0_17]) ).

thf(c_0_51,plain,
    ( ( ord_le2001149050_ereal @ esk47_0 @ ( f @ x0 ) )
    | ( lower_191460856_ereal @ x0 @ f ) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_47,c_0_40]),c_0_19]) ).

thf(c_0_52,plain,
    ! [X2: set_a] :
      ( ( ( f @ x0 )
        = extend1289208545_ereal )
      | ( lower_191460856_ereal @ x0 @ f )
      | ~ ( ord_le2001149050_ereal @ esk47_0 @ ( f @ ( esk48_1 @ X2 ) ) )
      | ~ ( member_a @ x0 @ X2 )
      | ~ ( topolo1276428101open_a @ X2 ) ),
    inference(csr,[status(thm)],[c_0_48,c_0_19]) ).

thf(c_0_53,negated_conjecture,
    ! [X1: extended_ereal] :
      ( ( ord_le2001149050_ereal @ X1 @ ( f @ ( esk48_1 @ ( esk3_1 @ X1 ) ) ) )
      | ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
      | ~ ( member_a @ x0 @ ( esk3_1 @ X1 ) )
      | ~ ( topolo1276428101open_a @ ( esk3_1 @ X1 ) ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_49]),c_0_50]),c_0_40]) ).

thf(c_0_54,plain,
    ord_le2001149050_ereal @ esk47_0 @ ( f @ x0 ),
    inference(sr,[status(thm)],[c_0_51,c_0_50]) ).

thf(c_0_55,negated_conjecture,
    ( ~ ( member_a @ x0 @ ( esk3_1 @ esk47_0 ) )
    | ~ ( topolo1276428101open_a @ ( esk3_1 @ esk47_0 ) ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),c_0_40]),c_0_50]) ).

thf(c_0_56,negated_conjecture,
    ~ ( member_a @ x0 @ ( esk3_1 @ esk47_0 ) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_27]),c_0_54])]),c_0_50]) ).

thf(c_0_57,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_28]),c_0_54])]),c_0_50]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP111^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  % Computer : n004.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Tue Sep 29 19:55:07 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.20  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  Running higher-order theorem proving
% 0.10/0.27  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --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.AlvCxWuY1Q/E---3.1_1760363.p
% 12.53/2.02  % Version: 3.5.1-ho
% 12.53/2.02  % Preprocessing class: HSLSSMSSSSSNSSA.
% 12.53/2.02  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.53/2.02  % Starting post_as_ho12 with 1200s (4) cores
% 12.53/2.02  % Starting post_as_ho5 with 600s (2) cores
% 12.53/2.02  % Starting post_as_ho4 with 300s (1) cores
% 12.53/2.02  % Starting new_ho_8 with 300s (1) cores
% 12.53/2.02  % post_as_ho5 with pid 1760377 completed with status 0
% 12.53/2.02  % Result found by post_as_ho5
% 12.53/2.02  % Preprocessing class: HSLSSMSSSSSNSSA.
% 12.53/2.02  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.53/2.02  % Starting post_as_ho12 with 1200s (4) cores
% 12.53/2.02  % Starting post_as_ho5 with 600s (2) cores
% 12.53/2.02  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 12.53/2.02  % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 12.53/2.02  % Search class: HGHSS-FSLS32-SSSFFMBN
% 12.53/2.02  % partial match(3): HGHSM-FSLS32-MSSFFSBN
% 12.53/2.02  % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 12.53/2.02  % Starting SubtermCWHack with 55s (1) cores
% 12.53/2.02  % Starting post_as_ho5 with 61s (1) cores
% 12.53/2.02  % post_as_ho5 with pid 1760381 completed with status 0
% 12.53/2.02  % Result found by post_as_ho5
% 12.53/2.02  % Preprocessing class: HSLSSMSSSSSNSSA.
% 12.53/2.02  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.53/2.02  % Starting post_as_ho12 with 1200s (4) cores
% 12.53/2.02  % Starting post_as_ho5 with 600s (2) cores
% 12.53/2.02  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 12.53/2.02  % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 12.53/2.02  % Search class: HGHSS-FSLS32-SSSFFMBN
% 12.53/2.02  % partial match(3): HGHSM-FSLS32-MSSFFSBN
% 12.53/2.02  % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 12.53/2.02  % Starting SubtermCWHack with 55s (1) cores
% 12.53/2.02  % Starting post_as_ho5 with 61s (1) cores
% 12.53/2.02  % Preprocessing time       : 0.011 s
% 12.53/2.02  % Presaturation interreduction done
% 12.53/2.02  
% 12.53/2.02  % Proof found!
% 12.53/2.02  % SZS status Theorem
% 12.53/2.02  % SZS output start CNFRefutation
% See solution above
% 12.53/2.02  % Parsed axioms                        : 138
% 12.53/2.02  % Removed by relevancy pruning/SinE    : 65
% 12.53/2.02  % Initial clauses                      : 264
% 12.53/2.02  % Removed in clause preprocessing      : 7
% 12.53/2.02  % Initial clauses in saturation        : 257
% 12.53/2.02  % Processed clauses                    : 2739
% 12.53/2.02  % ...of these trivial                  : 14
% 12.53/2.02  % ...subsumed                          : 1618
% 12.53/2.02  % ...remaining for further processing  : 1107
% 12.53/2.02  % Other redundant clauses eliminated   : 94
% 12.53/2.02  % Clauses deleted for lack of memory   : 0
% 12.53/2.02  % Backward-subsumed                    : 213
% 12.53/2.02  % Backward-rewritten                   : 7
% 12.53/2.02  % Generated clauses                    : 16837
% 12.53/2.02  % ...of the previous two non-redundant : 15107
% 12.53/2.02  % ...aggressively subsumed             : 0
% 12.53/2.02  % Contextual simplify-reflections      : 56
% 12.53/2.02  % Paramodulations                      : 16395
% 12.53/2.02  % Factorizations                       : 8
% 12.53/2.02  % NegExts                              : 106
% 12.53/2.02  % Equation resolutions                 : 115
% 12.53/2.02  % Disequality decompositions           : 0
% 12.53/2.02  % Total rewrite steps                  : 4705
% 12.53/2.02  % ...of those cached                   : 4456
% 12.53/2.02  % Propositional unsat checks           : 0
% 12.53/2.02  %    Propositional check models        : 0
% 12.53/2.02  %    Propositional check unsatisfiable : 0
% 12.53/2.02  %    Propositional clauses             : 0
% 12.53/2.02  %    Propositional clauses after purity: 0
% 12.53/2.02  %    Propositional unsat core size     : 0
% 12.53/2.02  %    Propositional preprocessing time  : 0.000
% 12.53/2.02  %    Propositional encoding time       : 0.000
% 12.53/2.02  %    Propositional solver time         : 0.000
% 12.53/2.02  %    Success case prop preproc time    : 0.000
% 12.53/2.02  %    Success case prop encoding time   : 0.000
% 12.53/2.02  %    Success case prop solver time     : 0.000
% 12.53/2.02  % Current number of processed clauses  : 642
% 12.53/2.02  %    Positive orientable unit clauses  : 33
% 12.53/2.02  %    Positive unorientable unit clauses: 0
% 12.53/2.02  %    Negative unit clauses             : 23
% 12.53/2.02  %    Non-unit-clauses                  : 586
% 12.53/2.02  % Current number of unprocessed clauses: 12682
% 12.53/2.02  % ...number of literals in the above   : 68570
% 12.53/2.02  % Current number of archived formulas  : 0
% 12.53/2.02  % Current number of archived clauses   : 445
% 12.53/2.02  % Clause-clause subsumption calls (NU) : 85525
% 12.53/2.02  % Rec. Clause-clause subsumption calls : 35116
% 12.53/2.02  % Non-unit clause-clause subsumptions  : 1153
% 12.53/2.02  % Unit Clause-clause subsumption calls : 4147
% 12.53/2.02  % Rewrite failures with RHS unbound    : 0
% 12.53/2.02  % BW rewrite match attempts            : 68
% 12.53/2.02  % BW rewrite match successes           : 9
% 12.53/2.02  % Condensation attempts                : 0
% 12.53/2.02  % Condensation successes               : 0
% 12.53/2.02  % Termbank termtop insertions          : 2752377
% 12.53/2.02  % Search garbage collected termcells   : 4437
% 12.53/2.02  
% 12.53/2.02  % -------------------------------------------------
% 12.53/2.02  % User time                : 1.558 s
% 12.53/2.02  % System time              : 0.030 s
% 12.53/2.02  % Total time               : 1.588 s
% 12.53/2.02  % Maximum resident set size: 4604 pages
% 12.53/2.02  
% 12.53/2.02  % -------------------------------------------------
% 12.53/2.02  % User time                : 3.050 s
% 12.53/2.02  % System time              : 0.080 s
% 12.53/2.02  % Total time               : 3.130 s
% 12.53/2.02  % Maximum resident set size: 5120 pages
% 12.53/2.02  % E exiting
%------------------------------------------------------------------------------