TSTP Solution File: CSR133^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR133^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zoZajBY8Sn true

% Computer : n018.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 : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 22:08:07 EDT 2023

% Result   : Theorem 1.40s 0.94s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   72 (  35 unt;  10 typ;   0 def)
%            Number of atoms       :  136 (  38 equ;   2 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  408 (  58   ~;  22   |;  31   &; 297   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   87 (  87   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  134 (  59   ^;  69   !;   6   ?; 134   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lBill_THFTYPE_i_type,type,
    lBill_THFTYPE_i: $i ).

thf(parent_THFTYPE_IiioI_type,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(lYearFn_THFTYPE_IiiI_type,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(lAnna_THFTYPE_i_type,type,
    lAnna_THFTYPE_i: $i ).

thf(lMary_THFTYPE_i_type,type,
    lMary_THFTYPE_i: $i ).

thf(likes_THFTYPE_IiioI_type,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(lSue_THFTYPE_i_type,type,
    lSue_THFTYPE_i: $i ).

thf(lBen_THFTYPE_i_type,type,
    lBen_THFTYPE_i: $i ).

thf(n2009_THFTYPE_i_type,type,
    n2009_THFTYPE_i: $i ).

thf(holdsDuring_THFTYPE_IiooI_type,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(ax_007,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ).

thf(zip_derived_cl7,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_007]) ).

thf(con,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( R != Q )
        & ( Q @ Y @ lAnna_THFTYPE_i )
        & ( R @ Y @ lBill_THFTYPE_i ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
        ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( R != Q )
          & ( Q @ Y @ lAnna_THFTYPE_i )
          & ( R @ Y @ lBill_THFTYPE_i ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X0 != X1 )
          & ( X1 @ X2 @ lAnna_THFTYPE_i )
          & ( X0 @ X2 @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
     != ( ( ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) )
         != ( ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl7,zip_derived_cl10]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
     != ( ( X0 != X2 )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( X0 @ X1 @ lBill_THFTYPE_i )
      | ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $o,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : X0
        @ X1
        @ lBill_THFTYPE_i )
      | ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl190]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $o] :
      ( X0
      | ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl194]) ).

thf(zip_derived_cl196,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl195]) ).

thf(ax_008,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ).

thf(zip_derived_cl8,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_008]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X0 != X1 )
          & ( X1 @ X2 @ lAnna_THFTYPE_i )
          & ( X0 @ X2 @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
     != ( ( ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) )
         != ( ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
     != ( ( X0 != X2 )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
      | ~ ( X1 @ X2 @ lBill_THFTYPE_i )
      | ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( X0 @ X1 @ lBill_THFTYPE_i )
      | ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $o,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : X0
        @ X1
        @ lBill_THFTYPE_i )
      | ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $o] :
      ( X0
      | ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl59,plain,
    parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
      | ~ ( X1 @ X2 @ lBill_THFTYPE_i ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl59]) ).

thf(zip_derived_cl361,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ( X0
        = ( ^ [Y0: $i,Y1: $i] :
              ( parent_THFTYPE_IiioI
              @ ( ^ [Y2: $i,Y3: $i] : Y2
                @ Y0
                @ Y1 )
              @ ( ^ [Y2: $i,Y3: $i] : Y3
                @ Y0
                @ Y1 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl108]) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ( X0 = parent_THFTYPE_IiioI ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl361]) ).

thf(ax_006,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ).

thf(zip_derived_cl6,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_006]) ).

thf(zip_derived_cl10_002,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X0 != X1 )
          & ( X1 @ X2 @ lAnna_THFTYPE_i )
          & ( X0 @ X2 @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
     != ( ( ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) )
         != ( ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
     != ( ( X0 != X2 )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl231,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( X0 @ X1 @ lBill_THFTYPE_i )
      | ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $o,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : X0
        @ X1
        @ lBill_THFTYPE_i )
      | ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl231]) ).

thf(zip_derived_cl236,plain,
    ! [X0: $o] :
      ( X0
      | ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl235]) ).

thf(zip_derived_cl237,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl236]) ).

thf(zip_derived_cl196_003,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl195]) ).

thf(zip_derived_cl10_004,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X0 != X1 )
          & ( X1 @ X2 @ lAnna_THFTYPE_i )
          & ( X0 @ X2 @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362,plain,
    ! [X0: $i > $i > $o] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X0
           != ( ^ [Y0: $i,Y1: $i] :
                  ( parent_THFTYPE_IiioI
                  @ ( ^ [Y2: $i,Y3: $i] : Y2
                    @ Y0
                    @ Y1 )
                  @ ( ^ [Y2: $i,Y3: $i] : Y3
                    @ Y0
                    @ Y1 ) ) ) )
          & $true
          & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl10]) ).

thf(zip_derived_cl383,plain,
    ! [X0: $i > $i > $o] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X0 != parent_THFTYPE_IiioI )
          & $true
          & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl362]) ).

thf(zip_derived_cl384,plain,
    ! [X0: $i > $i > $o] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          & ( X0 != parent_THFTYPE_IiioI ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl383]) ).

thf(zip_derived_cl433,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( $true
        & ( ( ^ [Y0: $i,Y1: $i] :
                ( likes_THFTYPE_IiioI
                @ ( ^ [Y2: $i,Y3: $i] : lMary_THFTYPE_i
                  @ Y0
                  @ Y1 )
                @ ( ^ [Y2: $i,Y3: $i] : Y3
                  @ Y0
                  @ Y1 ) ) )
         != parent_THFTYPE_IiioI ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl384]) ).

thf(zip_derived_cl440,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( $true
        & ( ( ^ [Y0: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
         != parent_THFTYPE_IiioI ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl433]) ).

thf(zip_derived_cl441,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( ^ [Y0: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
       != parent_THFTYPE_IiioI ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl440]) ).

thf(zip_derived_cl464,plain,
    ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI != parent_THFTYPE_IiioI ) )
    | ~ ( ^ [Y0: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i )
        @ lSue_THFTYPE_i
        @ lBill_THFTYPE_i ) ),
    inference('sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl441]) ).

thf(zip_derived_cl480,plain,
    ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI != parent_THFTYPE_IiioI ) )
    | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl464]) ).

thf(zip_derived_cl237_005,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl236]) ).

thf(zip_derived_cl481,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI != parent_THFTYPE_IiioI ) ),
    inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl237]) ).

thf(zip_derived_cl482,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl481]) ).

thf(ax_009,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ).

thf(zip_derived_cl9,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[ax_009]) ).

thf(zip_derived_cl237_006,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl236]) ).

thf(zip_derived_cl237_007,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl236]) ).

thf(zip_derived_cl108_008,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
      | ~ ( X1 @ X2 @ lBill_THFTYPE_i ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl59]) ).

thf(zip_derived_cl359,plain,
    ! [X0: $i,X1: $i > $i > $o] :
      ( ~ ( X1 @ X0 @ lBill_THFTYPE_i )
      | ( X1
        = ( ^ [Y0: $i,Y1: $i] :
              ( likes_THFTYPE_IiioI
              @ ( ^ [Y2: $i,Y3: $i] : lMary_THFTYPE_i
                @ Y0
                @ Y1 )
              @ ( ^ [Y2: $i,Y3: $i] : lBill_THFTYPE_i
                @ Y0
                @ Y1 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl108]) ).

thf(zip_derived_cl379,plain,
    ! [X0: $i,X1: $i > $i > $o] :
      ( ~ ( X1 @ X0 @ lBill_THFTYPE_i )
      | ( X1
        = ( ^ [Y0: $i,Y1: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl359]) ).

thf(zip_derived_cl521,plain,
    ( ( ^ [Y0: $i,Y1: $i] :
          ( likes_THFTYPE_IiioI
          @ ( ^ [Y2: $i,Y3: $i] : Y2
            @ Y0
            @ Y1 )
          @ ( ^ [Y2: $i,Y3: $i] : Y3
            @ Y0
            @ Y1 ) ) )
    = ( ^ [Y0: $i,Y1: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl379]) ).

thf(zip_derived_cl535,plain,
    ( likes_THFTYPE_IiioI
    = ( ^ [Y0: $i,Y1: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl521]) ).

thf(zip_derived_cl627,plain,
    ! [X1: $i,X2: $i] :
      ( ( likes_THFTYPE_IiioI @ X1 @ X2 )
      = ( ^ [Y0: $i,Y1: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        @ X1
        @ X2 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl535]) ).

thf(zip_derived_cl629,plain,
    ! [X1: $i,X2: $i] :
      ( ( likes_THFTYPE_IiioI @ X1 @ X2 )
      = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl627]) ).

thf(zip_derived_cl237_009,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl236]) ).

thf(zip_derived_cl630,plain,
    ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl629,zip_derived_cl237]) ).

thf(zip_derived_cl639,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ $true ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl630]) ).

thf(zip_derived_cl640,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl639]) ).

thf(zip_derived_cl702,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl482,zip_derived_cl640]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR133^1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zoZajBY8Sn true
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 14:17:47 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.21/0.61  % Total configuration time : 828
% 0.21/0.61  % Estimated wc time : 1656
% 0.21/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.97/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.97/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.97/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.97/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.97/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.97/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.97/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.97/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.97/0.78  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.40/0.94  % Solved by lams/40_noforms.sh.
% 1.40/0.94  % done 50 iterations in 0.171s
% 1.40/0.94  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/0.94  % SZS output start Refutation
% See solution above
% 1.40/0.94  
% 1.40/0.94  
% 1.40/0.94  % Terminating...
% 1.61/1.03  % Runner terminated.
% 1.61/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------