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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC060+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.DWBZ2aDaC9 true

% Computer : n023.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 04:58:27 PM UTC 2025

% Result   : Theorem 0.43s 0.69s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   51 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :  130 (  54 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  252 (  54   ~;  57   |;  10   &; 119   @)
%                                         (   2 <=>;  10  =>;   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   :   22 (   0   ^;  20   !;   2   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nil_type,type,
    nil: $i ).

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

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

thf(sk__9_type,type,
    sk__9: $i ).

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

thf(segmentP_type,type,
    segmentP: $i > $i > $o ).

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] :
                  ( ( ( ~ ( segmentP @ X @ W )
                      | ~ ( neq @ W @ nil ) )
                    & ( ( nil != W )
                      | ( nil != X ) ) )
                  | ( ( ? [Y: $i] :
                          ( ( segmentP @ U @ Y )
                          & ( segmentP @ V @ Y )
                          & ( neq @ Y @ nil )
                          & ( ssList @ Y ) )
                      | ~ ( neq @ V @ nil ) )
                    & ( ( nil = U )
                      | ( nil != V ) ) )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

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

thf(zip_derived_cl42,plain,
    ( ( neq @ sk__7 @ nil )
    | ( nil != sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    ( ( neq @ sk__7 @ sk__6 )
    | ( nil != sk__6 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl42]) ).

thf(ax55,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( segmentP @ U @ U ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

thf(zip_derived_cl48,plain,
    ( ( neq @ sk__8 @ nil )
    | ( nil = sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ( ( neq @ sk__6 @ nil )
    | ( nil = sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl44,zip_derived_cl49]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( segmentP @ sk__6 @ X0 )
      | ( nil = sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    ( ( nil = sk__7 )
    | ( nil = sk__7 )
    | ~ ( segmentP @ sk__6 @ sk__6 )
    | ~ ( segmentP @ sk__7 @ sk__6 )
    | ~ ( ssList @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl41]) ).

thf(zip_derived_cl38,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    ( ( nil = sk__7 )
    | ( nil = sk__7 )
    | ~ ( segmentP @ sk__6 @ sk__6 )
    | ~ ( segmentP @ sk__7 @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl38]) ).

thf(zip_derived_cl98,plain,
    ( ~ ( segmentP @ sk__7 @ sk__6 )
    | ~ ( segmentP @ sk__6 @ sk__6 )
    | ( nil = sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl46,plain,
    ( ( segmentP @ sk__9 @ sk__8 )
    | ( nil = sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_003,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ( ( segmentP @ sk__7 @ sk__6 )
    | ( nil = sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl49,zip_derived_cl44,zip_derived_cl49]) ).

thf(zip_derived_cl101,plain,
    ( ( nil = sk__7 )
    | ~ ( segmentP @ sk__6 @ sk__6 ) ),
    inference(clc,[status(thm)],[zip_derived_cl98,zip_derived_cl59]) ).

thf(zip_derived_cl102,plain,
    ( ~ ( ssList @ sk__6 )
    | ( nil = sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl101]) ).

thf(zip_derived_cl38_004,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    nil = sk__7,
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl38]) ).

thf(zip_derived_cl113,plain,
    ( ( neq @ sk__7 @ sk__6 )
    | ( sk__7 != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl103]) ).

thf(zip_derived_cl114,plain,
    ( ( neq @ sk__6 @ sk__6 )
    | ( sk__7 != sk__6 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl45,plain,
    ( ( segmentP @ sk__9 @ sk__8 )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_005,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_006,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_007,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    ( ( segmentP @ sk__7 @ sk__6 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl49,zip_derived_cl44,zip_derived_cl44]) ).

thf(zip_derived_cl103_008,plain,
    nil = sk__7,
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl38]) ).

thf(zip_derived_cl115,plain,
    ( ( segmentP @ sk__7 @ sk__6 )
    | ( sk__7 = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl103]) ).

thf(ax58,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( segmentP @ nil @ U )
      <=> ( nil = U ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ nil @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax58]) ).

thf(zip_derived_cl103_009,plain,
    nil = sk__7,
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl38]) ).

thf(zip_derived_cl103_010,plain,
    nil = sk__7,
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl38]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__7 @ X0 )
      | ( sk__7 = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl103,zip_derived_cl103]) ).

thf(zip_derived_cl132,plain,
    ( ( sk__7 = sk__6 )
    | ~ ( ssList @ sk__6 )
    | ( sk__7 = sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl108]) ).

thf(zip_derived_cl38_011,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    ( ( sk__7 = sk__6 )
    | ( sk__7 = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl38]) ).

thf(zip_derived_cl135,plain,
    sk__7 = sk__6,
    inference(simplify,[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl143,plain,
    ( ( neq @ sk__6 @ sk__6 )
    | ( sk__6 != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl135]) ).

thf(zip_derived_cl144,plain,
    neq @ sk__6 @ sk__6,
    inference(simplify,[status(thm)],[zip_derived_cl143]) ).

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 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl158,plain,
    ~ ( ssList @ sk__6 ),
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl65]) ).

thf(zip_derived_cl38_012,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl159,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl38]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : SWC060+1 : TPTP v9.2.0. Released v2.4.0.
% 0.08/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DWBZ2aDaC9 true
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 17:13:23 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.40/0.53  % Total configuration time : 435
% 0.40/0.53  % Estimated wc time : 1092
% 0.40/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.60  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.60  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.62  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.65  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.41/0.65  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.41/0.65  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.41/0.66  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.43/0.69  % Solved by fo/fo7.sh.
% 0.43/0.69  % done 63 iterations in 0.025s
% 0.43/0.69  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.43/0.69  % SZS output start Refutation
% See solution above
% 0.43/0.69  
% 0.43/0.69  
% 0.43/0.69  % Terminating...
% 0.43/0.75  % Runner terminated.
% 0.43/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------