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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC292+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4YzZdwzKtb true

% Computer : n015.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 04:59:16 PM UTC 2025

% Result   : Theorem 1.06s 0.78s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   40 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :   92 (  40 equ;   0 cnn)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  157 (  31   ~;  34   |;   4   &;  74   @)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(nil_type,type,
    nil: $i ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(strictorderedP_type,type,
    strictorderedP: $i > $o ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ( strictorderedP @ U )
                    | ( ( nil != W )
                      & ( nil = X ) )
                    | ( ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ( ( ( cons @ Y @ nil )
                             != W )
                            | ~ ( memberP @ X @ Y ) ) )
                      & ( neq @ X @ nil ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ( strictorderedP @ U )
                      | ( ( nil != W )
                        & ( nil = X ) )
                      | ( ! [Y: $i] :
                            ( ( ssItem @ Y )
                           => ( ( ( cons @ Y @ nil )
                               != W )
                              | ~ ( memberP @ X @ Y ) ) )
                        & ( neq @ X @ nil ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl75,plain,
    ~ ( strictorderedP @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80,plain,
    ( ( nil = sk__14 )
    | ( nil != sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl76,plain,
    sk__12 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570,plain,
    ( ( nil = sk__12 )
    | ( nil != sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl76]) ).

thf(zip_derived_cl81,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571,plain,
    ( ( nil = sk__12 )
    | ( nil != sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl570,zip_derived_cl81]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl78,plain,
    ( ( ( cons @ sk__16 @ nil )
      = sk__14 )
    | ~ ( neq @ sk__15 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl558,plain,
    ( ~ ( ssList @ sk__15 )
    | ( sk__15 = nil )
    | ~ ( ssList @ nil )
    | ( ( cons @ sk__16 @ nil )
      = sk__14 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl78]) ).

thf(zip_derived_cl81_001,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    ssList @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_002,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl573,plain,
    ssList @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl81]) ).

thf(zip_derived_cl81_003,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl20,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl76_004,plain,
    sk__12 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl602,plain,
    ( ( sk__13 = nil )
    | ( ( cons @ sk__16 @ nil )
      = sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl558,zip_derived_cl81,zip_derived_cl573,zip_derived_cl81,zip_derived_cl20,zip_derived_cl76]) ).

thf(ax68,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ( strictorderedP @ ( cons @ U @ nil ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( strictorderedP @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax68]) ).

thf(zip_derived_cl605,plain,
    ( ( strictorderedP @ sk__12 )
    | ( sk__13 = nil )
    | ~ ( ssItem @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl602,zip_derived_cl47]) ).

thf(zip_derived_cl75_005,plain,
    ~ ( strictorderedP @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl615,plain,
    ( ~ ( ssItem @ sk__16 )
    | ( sk__13 = nil ) ),
    inference(clc,[status(thm)],[zip_derived_cl605,zip_derived_cl75]) ).

thf(zip_derived_cl18_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl79,plain,
    ( ( ssItem @ sk__16 )
    | ~ ( neq @ sk__15 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl559,plain,
    ( ~ ( ssList @ sk__15 )
    | ( sk__15 = nil )
    | ~ ( ssList @ nil )
    | ( ssItem @ sk__16 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl79]) ).

thf(zip_derived_cl81_007,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl573_008,plain,
    ssList @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl81]) ).

thf(zip_derived_cl81_009,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_010,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl576,plain,
    ( ( sk__13 = nil )
    | ( ssItem @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl559,zip_derived_cl81,zip_derived_cl573,zip_derived_cl81,zip_derived_cl20]) ).

thf(zip_derived_cl616,plain,
    sk__13 = nil,
    inference(clc,[status(thm)],[zip_derived_cl615,zip_derived_cl576]) ).

thf(zip_derived_cl618,plain,
    ( ( nil = sk__12 )
    | ( nil != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl571,zip_derived_cl616]) ).

thf(zip_derived_cl619,plain,
    nil = sk__12,
    inference(simplify,[status(thm)],[zip_derived_cl618]) ).

thf(ax69,axiom,
    strictorderedP @ nil ).

thf(zip_derived_cl48,plain,
    strictorderedP @ nil,
    inference(cnf,[status(esa)],[ax69]) ).

thf(zip_derived_cl622,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl619,zip_derived_cl48]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWC292+1 : TPTP v9.2.0. Released v2.4.0.
% 0.09/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4YzZdwzKtb true
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 17:11:53 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.62/0.64  % Total configuration time : 435
% 0.62/0.64  % Estimated wc time : 1092
% 0.62/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.96/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.78  % Solved by fo/fo3_bce.sh.
% 1.06/0.78  % BCE start: 84
% 1.06/0.78  % BCE eliminated: 4
% 1.06/0.78  % PE start: 80
% 1.06/0.78  logic: eq
% 1.06/0.78  % PE eliminated: -1
% 1.06/0.78  % done 45 iterations in 0.036s
% 1.06/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.06/0.78  % SZS output start Refutation
% See solution above
% 1.06/0.78  
% 1.06/0.78  
% 1.06/0.78  % Terminating...
% 1.06/0.86  % Runner terminated.
% 1.31/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------