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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV067+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XYby2Jvh8i true

% Computer : n028.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 05:00:00 PM UTC 2025

% Result   : Theorem 1.20s 1.55s
% Output   : Refutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (  39 unt;   0 typ;   0 def)
%            Number of atoms       :  105 (  27 equ;   0 cnn)
%            Maximal formula atoms :   14 (   1 avg)
%            Number of connectives :  419 (  37   ~;  24   |;  20   &; 330   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;  10 con; 0-3 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pred_type,type,
    pred: $i > $i ).

thf(pv63_type,type,
    pv63: $i ).

thf(tptp_minus_1_type,type,
    tptp_minus_1: $i ).

thf(a_select3_type,type,
    a_select3: $i > $i > $i > $i ).

thf(minus_type,type,
    minus: $i > $i > $i ).

thf(pv78_type,type,
    pv78: $i ).

thf(n1_type,type,
    n1: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(gt_type,type,
    gt: $i > $i > $o ).

thf(n135300_type,type,
    n135300: $i ).

thf(n5_type,type,
    n5: $i ).

thf(n0_type,type,
    n0: $i ).

thf(pv10_type,type,
    pv10: $i ).

thf(succ_type,type,
    succ: $i > $i ).

thf(q_type,type,
    q: $i ).

thf(leq_gt1,axiom,
    ! [X: $i,Y: $i] :
      ( ( gt @ Y @ X )
     => ( leq @ X @ Y ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt1]) ).

thf(cl5_nebula_array_0008,conjecture,
    ( ( ( leq @ n0 @ pv10 )
      & ( leq @ n1 @ pv63 )
      & ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
      & ( leq @ pv63 @ ( minus @ n5 @ n1 ) ) )
   => ( ( leq @ n0 @ pv10 )
      & ( leq @ n0 @ pv63 )
      & ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
      & ( leq @ pv63 @ ( minus @ n5 @ n1 ) )
      & ( ~ ( gt @ ( a_select3 @ q @ pv10 @ pv63 ) @ pv78 )
       => ( ( leq @ n0 @ pv10 )
          & ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ) )
      & ( ( gt @ ( a_select3 @ q @ pv10 @ pv63 ) @ pv78 )
       => ( ( leq @ n0 @ pv10 )
          & ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( leq @ n0 @ pv10 )
        & ( leq @ n1 @ pv63 )
        & ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
        & ( leq @ pv63 @ ( minus @ n5 @ n1 ) ) )
     => ( ( leq @ n0 @ pv10 )
        & ( leq @ n0 @ pv63 )
        & ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
        & ( leq @ pv63 @ ( minus @ n5 @ n1 ) )
        & ( ~ ( gt @ ( a_select3 @ q @ pv10 @ pv63 ) @ pv78 )
         => ( ( leq @ n0 @ pv10 )
            & ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ) )
        & ( ( gt @ ( a_select3 @ q @ pv10 @ pv63 ) @ pv78 )
         => ( ( leq @ n0 @ pv10 )
            & ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_array_0008]) ).

thf(zip_derived_cl114,plain,
    ( ~ ( leq @ n0 @ pv10 )
    | ~ ( leq @ n0 @ pv63 )
    | ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
    | ~ ( leq @ pv63 @ ( minus @ n5 @ n1 ) )
    | ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
    | ~ ( leq @ n0 @ pv10 )
    | ~ ( leq @ n0 @ pv10 )
    | ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    ( ~ ( leq @ pv63 @ ( minus @ n5 @ n1 ) )
    | ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
    | ~ ( leq @ n0 @ pv63 )
    | ~ ( leq @ n0 @ pv10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl114]) ).

thf(succ_tptp_minus_1,axiom,
    ( ( succ @ tptp_minus_1 )
    = n0 ) ).

thf(zip_derived_cl46,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl46_001,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl120,plain,
    ( ~ ( leq @ pv63 @ ( minus @ n5 @ n1 ) )
    | ~ ( leq @ pv10 @ ( minus @ n135300 @ n1 ) )
    | ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv63 )
    | ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl46,zip_derived_cl46]) ).

thf(successor_1,axiom,
    ( ( succ @ n0 )
    = n1 ) ).

thf(zip_derived_cl107,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl46_002,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl132,plain,
    ( ( succ @ ( succ @ tptp_minus_1 ) )
    = n1 ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl46]) ).

thf(zip_derived_cl132_003,plain,
    ( ( succ @ ( succ @ tptp_minus_1 ) )
    = n1 ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl46]) ).

thf(zip_derived_cl133,plain,
    ( ~ ( leq @ pv63 @ ( minus @ n5 @ ( succ @ ( succ @ tptp_minus_1 ) ) ) )
    | ~ ( leq @ pv10 @ ( minus @ n135300 @ ( succ @ ( succ @ tptp_minus_1 ) ) ) )
    | ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv63 )
    | ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl132,zip_derived_cl132]) ).

thf(zip_derived_cl110,plain,
    leq @ n0 @ pv10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_004,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl257,plain,
    leq @ ( succ @ tptp_minus_1 ) @ pv10,
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl46]) ).

thf(zip_derived_cl258,plain,
    ( ~ ( leq @ pv63 @ ( minus @ n5 @ ( succ @ ( succ @ tptp_minus_1 ) ) ) )
    | ~ ( leq @ pv10 @ ( minus @ n135300 @ ( succ @ ( succ @ tptp_minus_1 ) ) ) )
    | ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv63 ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl257]) ).

thf(pred_minus_1,axiom,
    ! [X: $i] :
      ( ( minus @ X @ n1 )
      = ( pred @ X ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl132_005,plain,
    ( ( succ @ ( succ @ tptp_minus_1 ) )
    = n1 ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl46]) ).

thf(zip_derived_cl380,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ ( succ @ ( succ @ tptp_minus_1 ) ) )
      = ( pred @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl132]) ).

thf(zip_derived_cl380_006,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ ( succ @ ( succ @ tptp_minus_1 ) ) )
      = ( pred @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl132]) ).

thf(zip_derived_cl381,plain,
    ( ~ ( leq @ pv63 @ ( pred @ n5 ) )
    | ~ ( leq @ pv10 @ ( pred @ n135300 ) )
    | ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv63 ) ),
    inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl380,zip_derived_cl380]) ).

thf(zip_derived_cl112,plain,
    leq @ pv10 @ ( minus @ n135300 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_007,plain,
    ( ( succ @ ( succ @ tptp_minus_1 ) )
    = n1 ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl46]) ).

thf(zip_derived_cl380_008,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ ( succ @ ( succ @ tptp_minus_1 ) ) )
      = ( pred @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl132]) ).

thf(zip_derived_cl384,plain,
    leq @ pv10 @ ( pred @ n135300 ),
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl132,zip_derived_cl380]) ).

thf(zip_derived_cl395,plain,
    ( ~ ( leq @ pv63 @ ( pred @ n5 ) )
    | ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv63 ) ),
    inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl384]) ).

thf(successor_5,axiom,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
    = n5 ) ).

thf(zip_derived_cl106,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
    = n5 ),
    inference(cnf,[status(esa)],[successor_5]) ).

thf(zip_derived_cl46_009,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl398,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ tptp_minus_1 ) ) ) ) ) )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl46]) ).

thf(pred_succ,axiom,
    ! [X: $i] :
      ( ( pred @ ( succ @ X ) )
      = X ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl417,plain,
    ( ~ ( leq @ pv63 @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ tptp_minus_1 ) ) ) ) ) )
    | ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv63 ) ),
    inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl398,zip_derived_cl58]) ).

thf(zip_derived_cl113,plain,
    leq @ pv63 @ ( minus @ n5 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl398_010,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ tptp_minus_1 ) ) ) ) ) )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl46]) ).

thf(zip_derived_cl132_011,plain,
    ( ( succ @ ( succ @ tptp_minus_1 ) )
    = n1 ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl46]) ).

thf(zip_derived_cl380_012,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ ( succ @ ( succ @ tptp_minus_1 ) ) )
      = ( pred @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl132]) ).

thf(zip_derived_cl58_013,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl473,plain,
    leq @ pv63 @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ tptp_minus_1 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl398,zip_derived_cl132,zip_derived_cl380,zip_derived_cl58]) ).

thf(zip_derived_cl474,plain,
    ~ ( leq @ ( succ @ tptp_minus_1 ) @ pv63 ),
    inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl473]) ).

thf(zip_derived_cl482,plain,
    ~ ( gt @ pv63 @ ( succ @ tptp_minus_1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl474]) ).

thf(zip_derived_cl111,plain,
    leq @ n1 @ pv63,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_014,plain,
    ( ( succ @ ( succ @ tptp_minus_1 ) )
    = n1 ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl46]) ).

thf(zip_derived_cl263,plain,
    leq @ ( succ @ ( succ @ tptp_minus_1 ) ) @ pv63,
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl132]) ).

thf(leq_succ_gt,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ ( succ @ X ) @ Y )
     => ( gt @ Y @ X ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ X0 @ X1 )
      | ~ ( leq @ ( succ @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[leq_succ_gt]) ).

thf(zip_derived_cl266,plain,
    gt @ pv63 @ ( succ @ tptp_minus_1 ),
    inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl62]) ).

thf(zip_derived_cl483,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl482,zip_derived_cl266]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.42  % Problem  : SWV067+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.10/0.45  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XYby2Jvh8i true
% 0.13/0.67  % Computer : n028.cluster.edu
% 0.13/0.67  % Model    : x86_64 x86_64
% 0.13/0.67  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.67  % Memory   : 8042.1875MB
% 0.13/0.67  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.67  % CPULimit : 300
% 0.13/0.67  % WCLimit  : 300
% 0.13/0.67  % DateTime : Wed Oct  1 12:37:38 EDT 2025
% 0.13/0.67  % CPUTime  : 
% 0.13/0.67  % Running portfolio for 300 s
% 0.13/0.67  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.67  % Number of cores: 8
% 0.13/0.67  % Python version: Python 3.6.8
% 0.13/0.68  % Running in FO mode
% 0.15/0.96  % Total configuration time : 435
% 0.15/0.96  % Estimated wc time : 1092
% 0.15/0.96  % Estimated cpu time (7 cpus) : 156.0
% 0.15/1.08  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.97/1.21  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.97/1.22  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.98/1.26  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.98/1.28  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.98/1.29  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.98/1.30  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.20/1.55  % Solved by fo/fo7.sh.
% 1.20/1.55  % done 168 iterations in 0.157s
% 1.20/1.55  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/1.55  % SZS output start Refutation
% See solution above
% 1.20/1.55  
% 1.20/1.55  
% 1.20/1.55  % Terminating...
% 2.21/1.72  % Runner terminated.
% 2.21/1.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------