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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC352+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MhIau5tjYo true

% Computer : n009.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 04:59:28 PM UTC 2025

% Result   : Theorem 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :   73 (  32 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  128 (  30   ~;  23   |;   4   &;  58   @)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
    frontsegP: $i > $i > $o ).

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

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

thf(sk__5_type,type,
    sk__5: $i ).

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

thf(sk__8_type,type,
    sk__8: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

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

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 )
                      | ( frontsegP @ V @ U )
                      | ( ( nil != W )
                        & ( nil = X ) )
                      | ( ( neq @ X @ nil )
                        & ( ~ ( neq @ W @ nil )
                          | ~ ( frontsegP @ X @ W ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl46,plain,
    ( ( nil = sk__7 )
    | ( nil != sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ( nil = sk__5 )
    | ( nil != sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl43]) ).

thf(zip_derived_cl47,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl307,plain,
    ( ( nil = sk__5 )
    | ( nil != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl47]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( neq @ sk__8 @ nil )
    | ( frontsegP @ sk__8 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47_001,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_003,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ~ ( frontsegP @ sk__6 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl331,plain,
    ~ ( neq @ sk__6 @ nil ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47,zip_derived_cl47,zip_derived_cl43,zip_derived_cl42]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl367,plain,
    ( ~ ( ssList @ sk__6 )
    | ( sk__6 = nil )
    | ~ ( ssList @ nil ) ),
    inference('sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl9]) ).

thf(zip_derived_cl48,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47_004,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl309,plain,
    ssList @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl11,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl369,plain,
    sk__6 = nil,
    inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl309,zip_derived_cl11]) ).

thf(zip_derived_cl374,plain,
    ( ( nil = sk__5 )
    | ( nil != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl369]) ).

thf(zip_derived_cl375,plain,
    nil = sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl374]) ).

thf(ax46,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( frontsegP @ nil @ U )
      <=> ( nil = U ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( nil != X0 )
      | ( frontsegP @ nil @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(zip_derived_cl42_005,plain,
    ~ ( frontsegP @ sk__6 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl369_006,plain,
    sk__6 = nil,
    inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl309,zip_derived_cl11]) ).

thf(zip_derived_cl372,plain,
    ~ ( frontsegP @ nil @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl369]) ).

thf(zip_derived_cl379,plain,
    ( ~ ( ssList @ sk__5 )
    | ( nil != sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl372]) ).

thf(zip_derived_cl40,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380,plain,
    nil != sk__5,
    inference(demod,[status(thm)],[zip_derived_cl379,zip_derived_cl40]) ).

thf(zip_derived_cl390,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl375,zip_derived_cl380]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SWC352+1 : TPTP v9.2.0. Released v2.4.0.
% 0.02/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MhIau5tjYo true
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 17:09:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.50/0.63  % Total configuration time : 435
% 0.50/0.63  % Estimated wc time : 1092
% 0.50/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % Solved by fo/fo3_bce.sh.
% 0.57/0.77  % BCE start: 50
% 0.57/0.77  % BCE eliminated: 0
% 0.57/0.77  % PE start: 50
% 0.57/0.77  logic: eq
% 0.57/0.77  % PE eliminated: 0
% 0.57/0.77  % done 46 iterations in 0.030s
% 0.57/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.77  % SZS output start Refutation
% See solution above
% 0.57/0.77  
% 0.57/0.77  
% 0.57/0.77  % Terminating...
% 1.51/0.84  % Runner terminated.
% 1.51/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------