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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR133^2 : 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.mEs1dzZkin true

% Computer : n001.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 4.06s 1.15s
% Output   : Refutation 4.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   45 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  103 (  36 equ;   5 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  278 (  38   ~;  17   |;  22   &; 201   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   54 (  54   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   8 usr;   8 con; 0-2 aty)
%            Number of variables   :   93 (  34   ^;  53   !;   6   ?;  93   :)

% 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(lMary_THFTYPE_i_type,type,
    lMary_THFTYPE_i: $i ).

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

thf(n2009_THFTYPE_i_type,type,
    n2009_THFTYPE_i: $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_022,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ).

thf(zip_derived_cl10,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_022]) ).

thf(con,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( R != Q )
        & ( 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 )
        @ ( ( R != Q )
          & ( 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 )
        @ ( ( X0 != X1 )
          & ( X1 @ X2 @ lAnna_THFTYPE_i )
          & ( X0 @ X2 @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
     != ( ( ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) )
         != ( ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl10,zip_derived_cl12]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
     != ( ( X0 != X2 )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl283,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( X0 @ X1 @ lBill_THFTYPE_i )
      | ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $o,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : X0
        @ X1
        @ lBill_THFTYPE_i )
      | ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl283]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $o] :
      ( X0
      | ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl287]) ).

thf(zip_derived_cl289,plain,
    parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl288]) ).

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(zip_derived_cl8_001,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(zip_derived_cl12_002,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( X0 != X1 )
          & ( X1 @ X2 @ lAnna_THFTYPE_i )
          & ( X0 @ 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] : ( X0 @ Y0 @ Y1 ) )
         != ( ^ [Y0: $i,Y1: $i] : ( X2 @ 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_cl52,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
     != ( ( X0 != X2 )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
      ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = ( ( X0 != X2 )
        & ( X2 @ X1 @ lAnna_THFTYPE_i )
        & ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( X0 @ X1 @ lBill_THFTYPE_i )
      | ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $o,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : X0
        @ X1
        @ lBill_THFTYPE_i )
      | ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $o] :
      ( X0
      | ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl103,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl113,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ $false ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl103]) ).

thf(zip_derived_cl114,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl114_003,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
      ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      | ( X1 = X0 )
      | ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
      | ~ ( X1 @ X2 @ lBill_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ n2009_THFTYPE_i @ lBill_THFTYPE_i )
      | ( X0
        = ( ^ [Y0: $i,Y1: $i] :
              ( holdsDuring_THFTYPE_IiooI
              @ ( ^ [Y2: $i,Y3: $i] :
                    ( lYearFn_THFTYPE_IiiI
                    @ ( ^ [Y4: $i,Y5: $i] : Y4
                      @ Y2
                      @ Y3 ) )
                @ Y0
                @ Y1 )
              @ ( ^ [Y2: $i,Y3: $i] : $true
                @ Y0
                @ Y1 ) ) ) )
      | ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl65]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ n2009_THFTYPE_i @ lBill_THFTYPE_i )
      | ( X0
        = ( ^ [Y0: $i,Y1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y0 ) @ $true ) ) )
      | ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl103_004,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ n2009_THFTYPE_i @ lBill_THFTYPE_i )
      | ( X0
        = ( ^ [Y0: $i,Y1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y0 ) @ $true ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl103]) ).

thf(zip_derived_cl179,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( ( X0 @ X1 )
        = ( ^ [Y0: $i,Y1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y0 ) @ $true )
          @ X1 ) )
      | ~ ( X0 @ n2009_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl130]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( ( X0 @ X1 )
        = ( ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $true ) ) )
      | ~ ( X0 @ n2009_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl179]) ).

thf(zip_derived_cl490,plain,
    ! [X0: $i] :
      ( ( ^ [Y0: $i,Y1: $i] :
            ( ( Y0 = n2009_THFTYPE_i )
            & ( Y1 = lBill_THFTYPE_i ) )
        @ X0 )
      = ( ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ $true ) ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl181]) ).

thf(zip_derived_cl493,plain,
    ! [X0: $i] :
      ( ( ^ [Y0: $i] :
            ( ( X0 = n2009_THFTYPE_i )
            & ( Y0 = lBill_THFTYPE_i ) ) )
      = ( ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ $true ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl490]) ).

thf(zip_derived_cl659,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i] :
            ( ( X0 = n2009_THFTYPE_i )
            & ( Y0 = lBill_THFTYPE_i ) )
        @ X1 )
      = ( ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ $true )
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl493]) ).

thf(zip_derived_cl660,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( X0 = n2009_THFTYPE_i )
        & ( X1 = lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X0 ) @ $true ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl659]) ).

thf(zip_derived_cl668,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = lBill_THFTYPE_i )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $true ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl660]) ).

thf(zip_derived_cl672,plain,
    ! [X0: $i] : ( X0 = lBill_THFTYPE_i ),
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl668]) ).

thf(zip_derived_cl694,plain,
    parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl672]) ).

thf(zip_derived_cl672_005,plain,
    ! [X0: $i] : ( X0 = lBill_THFTYPE_i ),
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl668]) ).

thf(zip_derived_cl103_006,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl672_007,plain,
    ! [X0: $i] : ( X0 = lBill_THFTYPE_i ),
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl668]) ).

thf(zip_derived_cl689,plain,
    ~ ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl672]) ).

thf(zip_derived_cl701,plain,
    ! [X0: $i] :
      ~ ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl689]) ).

thf(zip_derived_cl705,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl701]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CSR133^2 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mEs1dzZkin true
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 14:59:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.59/0.71  % Total configuration time : 828
% 0.59/0.71  % Estimated wc time : 1656
% 0.59/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.79  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.79  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.83  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 4.06/1.15  % Solved by lams/40_c_ic.sh.
% 4.06/1.15  % done 45 iterations in 0.349s
% 4.06/1.15  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.06/1.15  % SZS output start Refutation
% See solution above
% 4.06/1.15  
% 4.06/1.15  
% 4.06/1.15  % Terminating...
% 4.40/1.29  % Runner terminated.
% 4.40/1.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------