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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR146^2 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yix9fUtcoZ true

% Computer : n004.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 7.29s 1.68s
% Output   : Refutation 7.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   45 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  130 (  20 equ;  10 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  368 (  28   ~;  14   |;   5   &; 286   @)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  14 usr;  13 con; 0-6 aty)
%                                         (  18  !!;   4  ??;   0 @@+;   0 @@-)
%            Number of variables   :   56 (  13   ^;  40   !;   3   ?;  56   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lCorina_THFTYPE_i_type,type,
    lCorina_THFTYPE_i: $i ).

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

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

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

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

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

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

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

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

thf(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

thf(ax_019,axiom,
    ? [X: $i] :
      ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ).

thf(zip_derived_cl22,plain,
    ( ??
    @ ^ [Y0: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ Y0 ) ) ),
    inference(cnf,[status(esa)],[ax_019]) ).

thf(zip_derived_cl23,plain,
    ?? @ ( '#B' @ (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl320,plain,
    ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ '#sk1' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).

thf(ax_005,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_cl6,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_005]) ).

thf(zip_derived_cl7,plain,
    !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ inverse_THFTYPE_IIiioIIiioIoI ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ (<=>) ) ) ) ) ) @ '#C' ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl290,plain,
    ! [X2: $i > $i > $o] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ inverse_THFTYPE_IIiioIIiioIoI @ X2 ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ (<=>) ) ) ) ) @ ( '#C' @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl291,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 )
     => ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (<=>) ) @ X4 ) ) @ ( '#C' @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl290]) ).

thf(zip_derived_cl292,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o] :
      ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 )
      | ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (<=>) ) @ X4 ) ) @ ( '#C' @ X2 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl291]) ).

thf(zip_derived_cl293,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i] :
      ( ( !! @ ( '#S' @ ( '#B' @ (<=>) @ ( X4 @ X6 ) ) @ ( '#C' @ X2 @ X6 ) ) )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl292]) ).

thf(zip_derived_cl294,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i,X8: $i] :
      ( ( ( X4 @ X6 @ X8 )
      <=> ( X2 @ X8 @ X6 ) )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl295,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i,X8: $i] :
      ( ( ( X4 @ X6 @ X8 )
        = ( X2 @ X8 @ X6 ) )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl294]) ).

thf(ax_092,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).

thf(zip_derived_cl92,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(cnf,[status(esa)],[ax_092]) ).

thf(zip_derived_cl1040,plain,
    ! [X0: $i,X1: $i] :
      ( ( husband_THFTYPE_IiioI @ X1 @ X0 )
      = ( wife_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl295,zip_derived_cl92]) ).

thf(con,conjecture,
    ? [R: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      & ( R
       != ( ^ [X: $i,Y: $i] : $true ) ) ) ).

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

thf(zip_derived_cl275,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i > $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( Y0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
          & ( Y0
           != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl276,plain,
    ~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) @ ( '#C' @ ( '#C' @ '#I' @ lChris_THFTYPE_i ) @ lCorina_THFTYPE_i ) ) ) @ ( '#C' @ != @ ( '#K' @ ( '#K' @ $true ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl275]) ).

thf(zip_derived_cl354,plain,
    ! [X2: $i > $i > $o] :
      ~ ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
        & ( X2
         != ( '#K' @ ( '#K' @ $true ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl276]) ).

thf(zip_derived_cl355,plain,
    ! [X2: $i > $i > $o] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      | ~ ( ( X2
           != ( '#K' @ ( '#K' @ $true ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl354]) ).

thf(zip_derived_cl356,plain,
    ! [X2: $i > $i > $o] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      | ( X2
        = ( '#K' @ ( '#K' @ $true ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl355]) ).

thf(zip_derived_cl592,plain,
    ! [X0: $i > $o] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( '#K' @ X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      | ( ( '#K' @ X0 )
        = ( '#K' @ ( '#K' @ $true ) ) ) ),
    inference(narrow_applied_variable,[status(thm)],[zip_derived_cl356]) ).

thf(zip_derived_cl593,plain,
    ! [X0: $i > $o] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lCorina_THFTYPE_i ) )
      | ( ( '#K' @ X0 )
        = ( '#K' @ ( '#K' @ $true ) ) ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl592]) ).

thf(zip_derived_cl690,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( ( '#K' @ X0 @ X1 )
        = ( '#K' @ ( '#K' @ $true ) @ X1 ) )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lCorina_THFTYPE_i ) ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl593]) ).

thf(zip_derived_cl700,plain,
    ! [X0: $i > $o] :
      ( ( X0
        = ( '#K' @ $true ) )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lCorina_THFTYPE_i ) ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl690]) ).

thf(zip_derived_cl717,plain,
    ! [X0: $o] :
      ( ( ( '#K' @ X0 )
        = ( '#K' @ $true ) )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( '#K' @ X0 @ lCorina_THFTYPE_i ) ) ),
    inference(narrow_applied_variable,[status(thm)],[zip_derived_cl700]) ).

thf(zip_derived_cl718,plain,
    ! [X0: $o] :
      ( ( ( '#K' @ X0 )
        = ( '#K' @ $true ) )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ X0 ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl717]) ).

thf(ax_110,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).

thf(zip_derived_cl109,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_110]) ).

thf(zip_derived_cl732,plain,
    ( ( '#K' @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
    = ( '#K' @ $true ) ),
    inference('sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl109]) ).

thf(zip_derived_cl750,plain,
    ! [X1: $i] :
      ( ( '#K' @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) @ X1 )
      = ( '#K' @ $true @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl732]) ).

thf(zip_derived_cl751,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference('comb-normalize',[status(thm)],[zip_derived_cl750]) ).

thf(zip_derived_cl1198,plain,
    husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i,
    inference('sup+',[status(thm)],[zip_derived_cl1040,zip_derived_cl751]) ).

thf(zip_derived_cl356_001,plain,
    ! [X2: $i > $i > $o] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      | ( X2
        = ( '#K' @ ( '#K' @ $true ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl355]) ).

thf(zip_derived_cl1220,plain,
    ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
    | ( husband_THFTYPE_IiioI
      = ( '#K' @ ( '#K' @ $true ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1198,zip_derived_cl356]) ).

thf(ax_057,axiom,
    ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) ).

thf(zip_derived_cl57,plain,
    ( !!
    @ ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ Y0 @ $true ) ),
    inference(cnf,[status(esa)],[ax_057]) ).

thf(zip_derived_cl58,plain,
    !! @ ( '#C' @ holdsDuring_THFTYPE_IiooI @ $true ),
    inference(lams2combs,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl334,plain,
    ! [X2: $i] : ( holdsDuring_THFTYPE_IiooI @ X2 @ $true ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl1223,plain,
    ( husband_THFTYPE_IiioI
    = ( '#K' @ ( '#K' @ $true ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1220,zip_derived_cl334]) ).

thf(zip_derived_cl1233,plain,
    ! [X1: $i,X2: $i] :
      ( ( husband_THFTYPE_IiioI @ X1 @ X2 )
      = ( '#K' @ ( '#K' @ $true ) @ X1 @ X2 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl1223]) ).

thf(zip_derived_cl1235,plain,
    ! [X1: $i,X2: $i] : ( husband_THFTYPE_IiioI @ X1 @ X2 ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl1233]) ).

thf(zip_derived_cl1241,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl1235]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : CSR146^2 : TPTP v9.2.0. Released v4.1.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yix9fUtcoZ true
% 0.15/0.37  % Computer : n004.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Oct  1 14:54:53 EDT 2025
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.38  % Running in HO mode
% 0.65/0.76  % Total configuration time : 828
% 0.65/0.76  % Estimated wc time : 1656
% 0.65/0.76  % Estimated cpu time (8 cpus) : 207.0
% 0.65/0.80  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.65/0.82  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.65/0.82  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.65/0.83  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.65/0.83  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.65/0.83  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.67/0.85  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.67/0.85  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.67/1.04  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 7.29/1.68  % Solved by lams/40_b.comb.sh.
% 7.29/1.68  % done 255 iterations in 0.830s
% 7.29/1.68  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.29/1.68  % SZS output start Refutation
% See solution above
% 7.29/1.68  
% 7.29/1.68  
% 7.29/1.68  % Terminating...
% 7.29/1.77  % Runner terminated.
% 7.29/1.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------