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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR131^2 : 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.8wmoUHSonm true

% Computer : n020.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 04:32:23 PM UTC 2025

% Result   : Theorem 6.88s 1.51s
% Output   : Refutation 6.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   28 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   70 (   3 equ;  12 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  315 (  33   ~;  17   |;  21   &; 224   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  10 usr;   8 con; 0-2 aty)
%                                         (  20  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  116 (  52   ^;  58   !;   6   ?; 116   :)

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

thf(lBill_THFTYPE_i_type,type,
    lBill_THFTYPE_i: $i ).

thf(lBob_THFTYPE_i_type,type,
    lBob_THFTYPE_i: $i ).

thf(sk__1_type,type,
    sk__1: ( $i > $i > $o ) > $i ).

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

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

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

thf(sk__type,type,
    sk_: ( $i > $i > $o ) > $i ).

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

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

thf(ax_019,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ).

thf(zip_derived_cl8,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[ax_019]) ).

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

thf(zip_derived_cl12,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( !!
                  @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
          & ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( !!
                  @ ^ [Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
          & ( X0 @ X2 @ lAnna_THFTYPE_i )
          & ( X1 @ X2 @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
     != ( ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) )
        & ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = ( ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) )
        & ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) )
      | ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl66,plain,
    ~ ( ^ [Y0: $i,Y1: $i] :
          ( parent_THFTYPE_IiioI
          @ ( ^ [Y2: $i,Y3: $i] : lBob_THFTYPE_i
            @ Y0
            @ Y1 )
          @ ( ^ [Y2: $i,Y3: $i] : lAnna_THFTYPE_i
            @ Y0
            @ Y1 ) )
      @ ( sk_
        @ ^ [Y0: $i,Y1: $i] :
            ( parent_THFTYPE_IiioI
            @ ( ^ [Y2: $i,Y3: $i] : lBob_THFTYPE_i
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: $i,Y3: $i] : lAnna_THFTYPE_i
              @ Y0
              @ Y1 ) ) )
      @ ( sk__1
        @ ^ [Y0: $i,Y1: $i] :
            ( parent_THFTYPE_IiioI
            @ ( ^ [Y2: $i,Y3: $i] : lBob_THFTYPE_i
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: $i,Y3: $i] : lAnna_THFTYPE_i
              @ Y0
              @ Y1 ) ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl67,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(ho_norm,[status(thm)],[zip_derived_cl66]) ).

thf(ax_009,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ).

thf(zip_derived_cl4,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_009]) ).

thf(zip_derived_cl12_001,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( !!
                  @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
          & ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( !!
                  @ ^ [Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
          & ( X0 @ X2 @ lAnna_THFTYPE_i )
          & ( X1 @ X2 @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
     != ( ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) )
        & ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).

thf(zip_derived_cl401,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_cl47]) ).

thf(zip_derived_cl406,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_cl401]) ).

thf(zip_derived_cl407,plain,
    ! [X0: $o] :
      ( X0
      | ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl406]) ).

thf(zip_derived_cl408,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl407]) ).

thf(zip_derived_cl408_002,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl407]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X5: $i,X6: $i] :
      ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      | ( X0 @ X1 @ X2 )
      | ( X3 @ X4 @ X5 )
      | ~ ( X0 @ X6 @ lAnna_THFTYPE_i )
      | ~ ( X3 @ X6 @ lBill_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl67_003,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(ho_norm,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X5: $i,X6: $i] :
      ( ~ ( X3 @ X6 @ lBill_THFTYPE_i )
      | ~ ( X0 @ X6 @ lAnna_THFTYPE_i )
      | ( X3 @ X4 @ X5 )
      | ( X0 @ X1 @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl61,zip_derived_cl67]) ).

thf(zip_derived_cl470,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X0 @ X2 @ X1 )
      | ( ^ [Y0: $i,Y1: $i] :
            ( parent_THFTYPE_IiioI
            @ ( ^ [Y2: $i,Y3: $i] : Y2
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: $i,Y3: $i] : lAnna_THFTYPE_i
              @ Y0
              @ Y1 ) )
        @ X4
        @ X3 )
      | ~ ( X0 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference('sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl85]) ).

thf(zip_derived_cl480,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X4: $i] :
      ( ( X0 @ X2 @ X1 )
      | ( parent_THFTYPE_IiioI @ X4 @ lAnna_THFTYPE_i )
      | ~ ( X0 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl470]) ).

thf(zip_derived_cl1071,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i )
      | ( ^ [Y0: $i,Y1: $i] :
            ( parent_THFTYPE_IiioI
            @ ( ^ [Y2: $i,Y3: $i] : Y2
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: $i,Y3: $i] : lAnna_THFTYPE_i
              @ Y0
              @ Y1 ) )
        @ X2
        @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl480]) ).

thf(zip_derived_cl1096,plain,
    ! [X0: $i,X2: $i] :
      ( ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i )
      | ( parent_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1071]) ).

thf(zip_derived_cl1164,plain,
    ! [X0: $i] : ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i ),
    inference(condensation,[status(thm)],[zip_derived_cl1096]) ).

thf(zip_derived_cl1165,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl1164]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR131^2 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8wmoUHSonm true
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 15:01:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.57/0.66  % Total configuration time : 828
% 0.57/0.66  % Estimated wc time : 1656
% 0.57/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.82  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.87  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 6.88/1.51  % Solved by lams/40_c_ic.sh.
% 6.88/1.51  % done 100 iterations in 0.659s
% 6.88/1.51  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.88/1.51  % SZS output start Refutation
% See solution above
% 6.88/1.51  
% 6.88/1.51  
% 6.88/1.51  % Terminating...
% 7.24/1.70  % Runner terminated.
% 7.24/1.72  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------