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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR145^1 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BCJbXYcGq3 true

% Computer : n027.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 : Thu Oct  2 04:32:27 PM UTC 2025

% Result   : Theorem 0.59s 0.84s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   77 (   8 equ;   1 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  188 (  16   ~;   4   |;   4   &; 126   @)
%                                         (  10 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   32 (  32   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   6 usr;   8 con; 0-2 aty)
%                                         (  19  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   70 (  41   ^;  26   !;   3   ?;  70   :)

% Comments : 
%------------------------------------------------------------------------------
thf(wife_THFTYPE_IiioI_type,type,
    wife_THFTYPE_IiioI: $i > $i > $o ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(lChris_THFTYPE_i_type,type,
    lChris_THFTYPE_i: $i ).

thf(inverse_THFTYPE_IIiioIIiioIoI_type,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(lCorina_THFTYPE_i_type,type,
    lCorina_THFTYPE_i: $i ).

thf(husband_THFTYPE_IiioI_type,type,
    husband_THFTYPE_IiioI: $i > $i > $o ).

thf(ax_002,axiom,
    ? [X: $i] :
      ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ).

thf(zip_derived_cl2,plain,
    ( ??
    @ ^ [Y0: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ Y0 ) ) ),
    inference(cnf,[status(esa)],[ax_002]) ).

thf(zip_derived_cl5,plain,
    ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ '#sk1' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(ax_001,axiom,
    ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
     => ! [INST1: $i,INST2: $i] :
          ( ( REL1 @ INST1 @ INST2 )
        <=> ( REL2 @ INST2 @ INST1 ) ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i > $i > $o] :
        ( !!
        @ ^ [Y1: $i > $i > $o] :
            ( ( inverse_THFTYPE_IIiioIIiioIoI @ Y1 @ Y0 )
           => ( !!
              @ ^ [Y2: $i] :
                  ( !!
                  @ ^ [Y3: $i] :
                      ( ( Y1 @ Y2 @ Y3 )
                    <=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax_001]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $i > $o] :
      ( !!
      @ ^ [Y0: $i > $i > $o] :
          ( ( inverse_THFTYPE_IIiioIIiioIoI @ Y0 @ X2 )
         => ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y1 @ Y2 )
                  <=> ( X2 @ Y2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: $i > $i > $o] :
        ( ( inverse_THFTYPE_IIiioIIiioIoI @ Y0 @ wife_THFTYPE_IiioI )
       => ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y1 @ Y2 )
                <=> ( wife_THFTYPE_IiioI @ Y2 @ Y1 ) ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ wife_THFTYPE_IiioI )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( X2 @ Y0 @ Y1 )
              <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl37,plain,
    ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
   => ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl35]) ).

thf(ax,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).

thf(zip_derived_cl0,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(cnf,[status(esa)],[ax]) ).

thf(zip_derived_cl53,plain,
    ( $true
   => ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl0]) ).

thf(zip_derived_cl54,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
          <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl55,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( husband_THFTYPE_IiioI @ X2 @ Y0 )
        <=> ( wife_THFTYPE_IiioI @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl56,plain,
    ! [X2: $i,X4: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X4 )
    <=> ( wife_THFTYPE_IiioI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl57,plain,
    ! [X2: $i,X4: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X4 )
      = ( wife_THFTYPE_IiioI @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl56]) ).

thf(ax_003,axiom,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ).

thf(zip_derived_cl3,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_003]) ).

thf(con,conjecture,
    ? [R: $i > $i > $o] :
      ( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      & ( R
       != ( ^ [X: $i,Y: $i] : $true ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [R: $i > $i > $o] :
        ( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
        & ( R
         != ( ^ [X: $i,Y: $i] : $true ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i > $o] :
          ( ( Y0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
          & ( Y0
           != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i > $i > $o] :
      ~ ( ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
        & ( X2
         != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i > $i > $o] :
      ( ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      | ~ ( ( X2
           != ( ^ [Y0: $i,Y1: $i] : $true ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i > $i > $o] :
      ( ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      | ( X2
        = ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i > $i > $o,X4: $i,X5: $i] :
      ( ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      | ( ( X2 @ X4 @ X5 )
        = ( ^ [Y0: $i,Y1: $i] : $true
          @ X4
          @ X5 ) ) ),
    inference(arg_cong_simpl,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i > $i > $o,X4: $i,X5: $i] :
      ( ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      | ( X2 @ X4 @ X5 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ^ [Y0: $i,Y1: $i] :
          ( wife_THFTYPE_IiioI
          @ ( ^ [Y2: $i,Y3: $i] : Y3
            @ Y0
            @ Y1 )
          @ ( ^ [Y2: $i,Y3: $i] : Y2
            @ Y0
            @ Y1 ) )
      @ X1
      @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl22]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] : ( wife_THFTYPE_IiioI @ X0 @ X1 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl97,plain,
    ! [X2: $i,X4: $i] : ( husband_THFTYPE_IiioI @ X2 @ X4 ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl84]) ).

thf(zip_derived_cl98,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl97]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : CSR145^1 : TPTP v9.2.0. Released v4.1.0.
% 0.09/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BCJbXYcGq3 true
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 14:48:54 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.57/0.69  % Total configuration time : 828
% 0.57/0.69  % Estimated wc time : 1656
% 0.57/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.84  % Solved by lams/20_acsne_simpl.sh.
% 0.59/0.84  % done 10 iterations in 0.031s
% 0.59/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.84  % SZS output start Refutation
% See solution above
% 0.59/0.84  
% 0.59/0.84  
% 0.59/0.84  % Terminating...
% 0.62/0.88  % Runner terminated.
% 0.62/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------