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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV366+1 : TPTP v9.2.0. Released 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.s8K4cLfmsC true

% Computer : n012.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 05:00:56 PM UTC 2025

% Result   : Theorem 0.47s 0.93s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (  10 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  131 (   3   ~;   0   |;   0   &; 126   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-3 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(insert_slb_type,type,
    insert_slb: $i > $i > $i ).

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

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

thf(pair_type,type,
    pair: $i > $i > $i ).

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

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

thf(insert_pq_type,type,
    insert_pq: $i > $i > $i ).

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

thf(i_type,type,
    i: $i > $i ).

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

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

thf(l2_co,conjecture,
    ! [U: $i] :
      ( ! [V: $i,W: $i,X: $i,Y: $i] :
          ( ( i @ ( triple @ V @ U @ X ) )
          = ( i @ ( triple @ W @ U @ Y ) ) )
     => ! [Z: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
          ( ( i @ ( triple @ Z @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X2 ) )
          = ( i @ ( triple @ X1 @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X3 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ! [V: $i,W: $i,X: $i,Y: $i] :
            ( ( i @ ( triple @ V @ U @ X ) )
            = ( i @ ( triple @ W @ U @ Y ) ) )
       => ! [Z: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
            ( ( i @ ( triple @ Z @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X2 ) )
            = ( i @ ( triple @ X1 @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X3 ) ) ) ),
    inference('cnf.neg',[status(esa)],[l2_co]) ).

thf(zip_derived_cl47,plain,
    ( ( i @ ( triple @ sk__2 @ ( insert_slb @ sk__1 @ ( pair @ sk__6 @ sk__7 ) ) @ sk__4 ) )
   != ( i @ ( triple @ sk__3 @ ( insert_slb @ sk__1 @ ( pair @ sk__6 @ sk__7 ) ) @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax55,axiom,
    ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
      ( ( i @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
      = ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( i @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X3 @ X4 ) ) @ X2 ) )
      = ( insert_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

thf(zip_derived_cl45_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( i @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X3 @ X4 ) ) @ X2 ) )
      = ( insert_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

thf(zip_derived_cl296,plain,
    ( ( insert_pq @ ( i @ ( triple @ sk__2 @ sk__1 @ sk__4 ) ) @ sk__6 )
   != ( insert_pq @ ( i @ ( triple @ sk__3 @ sk__1 @ sk__5 ) ) @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl45,zip_derived_cl45]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( i @ ( triple @ X2 @ sk__1 @ X3 ) )
      = ( i @ ( triple @ X0 @ sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl297,plain,
    $false,
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl296,zip_derived_cl46]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SWV366+1 : TPTP v9.2.0. Released v3.3.0.
% 0.02/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s8K4cLfmsC true
% 0.10/0.34  % Computer : n012.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Wed Oct  1 12:51:38 EDT 2025
% 0.10/0.34  % CPUTime  : 
% 0.10/0.34  % Running portfolio for 300 s
% 0.10/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34  % Number of cores: 8
% 0.10/0.35  % Python version: Python 3.6.8
% 0.10/0.35  % Running in FO mode
% 0.40/0.60  % Total configuration time : 435
% 0.40/0.60  % Estimated wc time : 1092
% 0.40/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.86  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.89  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.90  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.93  % Solved by fo/fo3_bce.sh.
% 0.47/0.93  % BCE start: 48
% 0.47/0.93  % BCE eliminated: 1
% 0.47/0.93  % PE start: 47
% 0.47/0.93  logic: eq
% 0.47/0.93  % PE eliminated: 6
% 0.47/0.93  % done 54 iterations in 0.054s
% 0.47/0.93  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.93  % SZS output start Refutation
% See solution above
% 0.47/0.93  
% 0.47/0.93  
% 0.47/0.93  % Terminating...
% 1.48/1.13  % Runner terminated.
% 1.52/1.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------