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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO012+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dfBJHsrNfh true

% Computer : n003.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 04:49:22 PM UTC 2025

% Result   : Theorem 0.51s 0.81s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   34 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   93 (   2 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  340 (  46   ~;  41   |;  13   &; 235   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   39 (   0   ^;  32   !;   7   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tptp3_type,type,
    tptp3: $i ).

thf(tptp0_type,type,
    tptp0: $i ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

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

thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(tptp2_type,type,
    tptp2: $i ).

thf(root_occ_type,type,
    root_occ: $i > $i > $o ).

thf(occurrence_of_type,type,
    occurrence_of: $i > $i > $o ).

thf(tptp1_type,type,
    tptp1: $i ).

thf(min_precedes_type,type,
    min_precedes: $i > $i > $i > $o ).

thf(tptp4_type,type,
    tptp4: $i ).

thf(sos_32,axiom,
    ! [X95: $i] :
      ( ( occurrence_of @ X95 @ tptp0 )
     => ? [X96: $i,X97: $i,X98: $i] :
          ( ! [X99: $i] :
              ( ( min_precedes @ X96 @ X99 @ tptp0 )
             => ( ( X99 = X97 )
                | ( X99 = X98 ) ) )
          & ( min_precedes @ X97 @ X98 @ tptp0 )
          & ( ( occurrence_of @ X98 @ tptp1 )
            | ( occurrence_of @ X98 @ tptp2 ) )
          & ( min_precedes @ X96 @ X97 @ tptp0 )
          & ( occurrence_of @ X97 @ tptp4 )
          & ( root_occ @ X96 @ X95 )
          & ( occurrence_of @ X96 @ tptp3 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(sos,axiom,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( min_precedes @ X0 @ X1 @ X3 )
        & ( min_precedes @ X1 @ X2 @ X3 ) )
     => ( min_precedes @ X0 @ X2 @ X3 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( min_precedes @ X3 @ X1 @ X2 )
      | ~ ( min_precedes @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[sos]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( min_precedes @ X1 @ ( sk__2 @ X0 ) @ tptp0 )
      | ( min_precedes @ X1 @ ( sk__3 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( min_precedes @ ( sk__1 @ X0 ) @ ( sk__3 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl106]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__1 @ X0 ) @ ( sk__3 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl117]) ).

thf(goals,conjecture,
    ! [X100: $i] :
      ( ( occurrence_of @ X100 @ tptp0 )
     => ? [X101: $i,X102: $i] :
          ( ( min_precedes @ X101 @ X102 @ tptp0 )
          & ( ( occurrence_of @ X102 @ tptp1 )
            | ( occurrence_of @ X102 @ tptp2 ) )
          & ( root_occ @ X101 @ X100 )
          & ( occurrence_of @ X101 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X100: $i] :
        ( ( occurrence_of @ X100 @ tptp0 )
       => ? [X101: $i,X102: $i] :
            ( ( min_precedes @ X101 @ X102 @ tptp0 )
            & ( ( occurrence_of @ X102 @ tptp1 )
              | ( occurrence_of @ X102 @ tptp2 ) )
            & ( root_occ @ X101 @ X100 )
            & ( occurrence_of @ X101 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root_occ @ X0 @ sk__4 )
      | ~ ( occurrence_of @ X0 @ tptp3 )
      | ~ ( occurrence_of @ X1 @ tptp2 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( occurrence_of @ ( sk__3 @ X0 ) @ tptp2 )
      | ~ ( occurrence_of @ ( sk__1 @ X0 ) @ tptp3 )
      | ~ ( root_occ @ ( sk__1 @ X0 ) @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl28]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__1 @ X0 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i] :
      ( ~ ( root_occ @ ( sk__1 @ X0 ) @ sk__4 )
      | ~ ( occurrence_of @ ( sk__3 @ X0 ) @ tptp2 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl11]) ).

thf(zip_derived_cl141,plain,
    ( ~ ( occurrence_of @ sk__4 @ tptp0 )
    | ~ ( occurrence_of @ sk__4 @ tptp0 )
    | ~ ( occurrence_of @ ( sk__3 @ sk__4 ) @ tptp2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl140]) ).

thf(zip_derived_cl26,plain,
    occurrence_of @ sk__4 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_001,plain,
    occurrence_of @ sk__4 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142,plain,
    ~ ( occurrence_of @ ( sk__3 @ sk__4 ) @ tptp2 ),
    inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl26,zip_derived_cl26]) ).

thf(zip_derived_cl26_002,plain,
    occurrence_of @ sk__4 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 ) @ tptp2 )
      | ( occurrence_of @ ( sk__3 @ X0 ) @ tptp1 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl67,plain,
    ( ( occurrence_of @ ( sk__3 @ sk__4 ) @ tptp1 )
    | ( occurrence_of @ ( sk__3 @ sk__4 ) @ tptp2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl12]) ).

thf(zip_derived_cl10_003,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl119_004,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__1 @ X0 ) @ ( sk__3 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root_occ @ X0 @ sk__4 )
      | ~ ( occurrence_of @ X0 @ tptp3 )
      | ~ ( occurrence_of @ X1 @ tptp1 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( occurrence_of @ ( sk__3 @ X0 ) @ tptp1 )
      | ~ ( occurrence_of @ ( sk__1 @ X0 ) @ tptp3 )
      | ~ ( root_occ @ ( sk__1 @ X0 ) @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl27]) ).

thf(zip_derived_cl11_005,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__1 @ X0 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i] :
      ( ~ ( root_occ @ ( sk__1 @ X0 ) @ sk__4 )
      | ~ ( occurrence_of @ ( sk__3 @ X0 ) @ tptp1 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl124,zip_derived_cl11]) ).

thf(zip_derived_cl129,plain,
    ( ~ ( occurrence_of @ sk__4 @ tptp0 )
    | ~ ( occurrence_of @ sk__4 @ tptp0 )
    | ~ ( occurrence_of @ ( sk__3 @ sk__4 ) @ tptp1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl128]) ).

thf(zip_derived_cl26_006,plain,
    occurrence_of @ sk__4 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_007,plain,
    occurrence_of @ sk__4 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    ~ ( occurrence_of @ ( sk__3 @ sk__4 ) @ tptp1 ),
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl26,zip_derived_cl26]) ).

thf(zip_derived_cl131,plain,
    occurrence_of @ ( sk__3 @ sk__4 ) @ tptp2,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl130]) ).

thf(zip_derived_cl143,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl131]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PRO012+2 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dfBJHsrNfh true
% 0.12/0.35  % Computer : n003.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 10:51:53 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % Number of cores: 8
% 0.12/0.36  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.44/0.60  % Total configuration time : 435
% 0.44/0.60  % Estimated wc time : 1092
% 0.44/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.81  % Solved by fo/fo4.sh.
% 0.51/0.81  % done 80 iterations in 0.066s
% 0.51/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.81  % SZS output start Refutation
% See solution above
% 0.51/0.81  
% 0.51/0.81  
% 0.51/0.81  % Terminating...
% 1.62/0.94  % Runner terminated.
% 1.62/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------