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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR144^2 : 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.V8oA3e4ksc true

% Computer : n029.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 19.86s 3.07s
% Output   : Refutation 19.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :  117 (   2 equ;  13 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  345 (  20   ~;   6   |;   0   &; 268   @)
%                                         (   8 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  13 usr;   7 con; 0-6 aty)
%                                         (  23  !!;  10  ??;   0 @@+;   0 @@-)
%            Number of variables   :   53 (  10   ^;  39   !;   4   ?;  53   :)

% Comments : 
%------------------------------------------------------------------------------
thf(believes_THFTYPE_IiooI_type,type,
    believes_THFTYPE_IiooI: $i > $o > $o ).

thf('#sk8_type',type,
    '#sk8': $o > $i > $i ).

thf(considers_THFTYPE_IiooI_type,type,
    considers_THFTYPE_IiooI: $i > $o > $o ).

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(lMax_THFTYPE_i_type,type,
    lMax_THFTYPE_i: $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(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_088,axiom,
    ! [X: $i] :
      ~ ? [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X @ lMax_THFTYPE_i ) ) ) ).

thf(zip_derived_cl112,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( (~)
        @ ( ??
          @ ^ [Y1: $i] : ( holdsDuring_THFTYPE_IiooI @ Y1 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ Y0 @ lMax_THFTYPE_i ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax_088]) ).

thf(zip_derived_cl113,plain,
    !! @ ( '#B' @ (~) @ ( '#B' @ ?? @ ( '#B' @ ( '#C' @ holdsDuring_THFTYPE_IiooI ) @ ( '#B' @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i ) @ ( '#C' @ wife_THFTYPE_IiioI @ lMax_THFTYPE_i ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl112]) ).

thf(zip_derived_cl398,plain,
    ! [X2: $i] :
      ~ ( ?? @ ( '#C' @ holdsDuring_THFTYPE_IiooI @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl399,plain,
    ! [X2: $i,X4: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ X4 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl398]) ).

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_cl7,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_cl8,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_cl7]) ).

thf(zip_derived_cl320,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_cl8]) ).

thf(zip_derived_cl321,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_cl320]) ).

thf(zip_derived_cl322,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_cl321]) ).

thf(zip_derived_cl323,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_cl322]) ).

thf(zip_derived_cl324,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_cl323]) ).

thf(zip_derived_cl325,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_cl324]) ).

thf(ax_096,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).

thf(zip_derived_cl120,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(cnf,[status(esa)],[ax_096]) ).

thf(zip_derived_cl1010,plain,
    ! [X0: $i,X1: $i] :
      ( ( husband_THFTYPE_IiioI @ X1 @ X0 )
      = ( wife_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl325,zip_derived_cl120]) ).

thf(zip_derived_cl1634,plain,
    ! [X2: $i,X4: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ X4 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl1010]) ).

thf(ax_058,axiom,
    ! [FORMULA: $o,AGENT: $i] :
      ( ( believes_THFTYPE_IiooI @ AGENT @ FORMULA )
     => ? [TIME: $i] : ( holdsDuring_THFTYPE_IiooI @ TIME @ ( considers_THFTYPE_IiooI @ AGENT @ FORMULA ) ) ) ).

thf(zip_derived_cl75,plain,
    ( !!
    @ ^ [Y0: $o] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( believes_THFTYPE_IiooI @ Y1 @ Y0 )
           => ( ??
              @ ^ [Y2: $i] : ( holdsDuring_THFTYPE_IiooI @ Y2 @ ( considers_THFTYPE_IiooI @ Y1 @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax_058]) ).

thf(zip_derived_cl76,plain,
    !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ believes_THFTYPE_IiooI ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#C' @ holdsDuring_THFTYPE_IiooI ) ) @ ( '#C' @ considers_THFTYPE_IiooI ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl451,plain,
    ! [X2: $o] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ believes_THFTYPE_IiooI @ X2 ) ) @ ( '#B' @ ?? @ ( '#B' @ ( '#C' @ holdsDuring_THFTYPE_IiooI ) @ ( '#C' @ considers_THFTYPE_IiooI @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl452,plain,
    ! [X2: $o,X4: $i] :
      ( ( believes_THFTYPE_IiooI @ X4 @ X2 )
     => ( ?? @ ( '#C' @ holdsDuring_THFTYPE_IiooI @ ( considers_THFTYPE_IiooI @ X4 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl451]) ).

thf(zip_derived_cl453,plain,
    ! [X2: $o,X4: $i] :
      ( ~ ( believes_THFTYPE_IiooI @ X4 @ X2 )
      | ( ?? @ ( '#C' @ holdsDuring_THFTYPE_IiooI @ ( considers_THFTYPE_IiooI @ X4 @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl452]) ).

thf(zip_derived_cl454,plain,
    ! [X2: $o,X4: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( '#sk8' @ X2 @ X4 ) @ ( considers_THFTYPE_IiooI @ X4 @ X2 ) )
      | ~ ( believes_THFTYPE_IiooI @ X4 @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl453]) ).

thf(zip_derived_cl2845,plain,
    ! [X0: $i] :
      ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1634,zip_derived_cl454]) ).

thf(con,conjecture,
    ? [Z: $i] :
      ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Z: $i] :
        ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl306,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( (~) @ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl307,plain,
    ~ ( ?? @ ( '#B' @ (~) @ ( '#B' @ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl306]) ).

thf(zip_derived_cl390,plain,
    ! [X2: $i] : ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl307]) ).

thf(zip_derived_cl2846,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2845,zip_derived_cl390]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : CSR144^2 : TPTP v9.2.0. Released v4.1.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V8oA3e4ksc true
% 0.10/0.30  % Computer : n029.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 : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed Oct  1 14:59:23 EDT 2025
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in HO mode
% 0.64/0.60  % Total configuration time : 828
% 0.64/0.60  % Estimated wc time : 1656
% 0.64/0.60  % Estimated cpu time (8 cpus) : 207.0
% 1.05/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.05/0.67  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.05/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.05/0.67  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.05/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.05/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.05/0.67  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.05/0.68  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.05/0.72  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.05/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 19.86/3.07  % Solved by lams/40_b.comb.sh.
% 19.86/3.07  % done 413 iterations in 2.376s
% 19.86/3.07  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.86/3.07  % SZS output start Refutation
% See solution above
% 19.86/3.07  
% 19.86/3.07  
% 19.86/3.07  % Terminating...
% 19.86/3.15  % Runner terminated.
% 19.86/3.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------