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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR146^1 : 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.dSxKV1M4gv true

% Computer : n031.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 2.88s 1.11s
% Output   : Refutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   93 (  10 equ;   1 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  189 (  16   ~;   0   |;   6   &; 129   @)
%                                         (  10 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (   9 usr;   9 con; 0-2 aty)
%                                         (  19  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   58 (  39   ^;  16   !;   3   ?;  58   :)

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

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

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

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

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

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

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

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

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

thf(ax4,axiom,
    ? [X: $i] :
      ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ).

thf(zip_derived_cl3,plain,
    ( ??
    @ ^ [Y0: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ Y0 ) ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl7,plain,
    ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ '#sk1' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

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_cl5,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_cl18,plain,
    ! [X2: $i > $i > $o] :
      ~ ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
        & ( X2
         != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl20,plain,
    ~ ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      & ( husband_THFTYPE_IiioI
       != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl18]) ).

thf(ax2,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)],[ax2]) ).

thf(zip_derived_cl8,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_cl9,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_cl8]) ).

thf(zip_derived_cl33,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_cl9]) ).

thf(zip_derived_cl35,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_cl33]) ).

thf(ax1,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)],[ax1]) ).

thf(zip_derived_cl51,plain,
    ( $true
   => ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl0]) ).

thf(zip_derived_cl52,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
          <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl53,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( husband_THFTYPE_IiioI @ X2 @ Y0 )
        <=> ( wife_THFTYPE_IiioI @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl54,plain,
    ! [X2: $i,X4: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X4 )
    <=> ( wife_THFTYPE_IiioI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl55,plain,
    ! [X2: $i,X4: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X4 )
      = ( wife_THFTYPE_IiioI @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl54]) ).

thf(ax5,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).

thf(zip_derived_cl4,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl60,plain,
    ~ ( $true
      & ( husband_THFTYPE_IiioI
       != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl55,zip_derived_cl4]) ).

thf(zip_derived_cl61,plain,
    ~ ( ( husband_THFTYPE_IiioI
       != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl60]) ).

thf(zip_derived_cl62,plain,
    ( husband_THFTYPE_IiioI
    = ( ^ [Y0: $i,Y1: $i] : $true ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl63,plain,
    ! [X2: $i,X3: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X3 )
      = ( ^ [Y0: $i,Y1: $i] : $true
        @ X2
        @ X3 ) ),
    inference(arg_cong_simpl,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl64,plain,
    ! [X2: $i,X3: $i] : ( husband_THFTYPE_IiioI @ X2 @ X3 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl65,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR146^1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dSxKV1M4gv true
% 0.13/0.34  % Computer : n031.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 : Wed Oct  1 14:58:08 EDT 2025
% 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
% 0.54/0.68  % Total configuration time : 828
% 0.54/0.68  % Estimated wc time : 1656
% 0.54/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.89  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.90  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 2.88/1.11  % Solved by lams/20_acsne_simpl.sh.
% 2.88/1.11  % done 0 iterations in 0.056s
% 2.88/1.11  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.88/1.11  % SZS output start Refutation
% See solution above
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  % Terminating...
% 3.46/1.27  % Runner terminated.
% 3.46/1.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------