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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO494+1 : TPTP v9.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3SGKSJwlLf 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 04:34:49 PM UTC 2025

% Result   : Theorem 234.71s 41.75s
% Output   : Refutation 234.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   53 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  103 (   5 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  614 (  47   ~;  45   |;   5   &; 517   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   9 con; 0-4 aty)
%            Number of variables   :  165 (   0   ^; 165   !;   0   ?; 165   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

thf(ext_type,type,
    ext: $i > $i > $i > $i > $i ).

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

thf(s_e_type,type,
    s_e: $i > $i > $i > $i > $o ).

thf(le_type,type,
    le: $i > $i > $i > $i > $o ).

thf(gamma_type,type,
    gamma: $i ).

thf(alpha_type,type,
    alpha: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__type,type,
    sk_: $i ).

thf(s_t_type,type,
    s_t: $i > $i > $i > $o ).

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

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

thf(ins_type,type,
    ins: $i > $i > $i > $i > $i ).

thf(insert_type,type,
    insert: $i > $i > $i > $i > $i ).

thf(aSatz5_8,conjecture,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
      ( ( le @ Xa @ Xb @ Xe @ Xf )
      | ~ ( le @ Xc @ Xd @ Xe @ Xf )
      | ~ ( le @ Xa @ Xb @ Xc @ Xd ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
        ( ( le @ Xa @ Xb @ Xe @ Xf )
        | ~ ( le @ Xc @ Xd @ Xe @ Xf )
        | ~ ( le @ Xa @ Xb @ Xc @ Xd ) ),
    inference('cnf.neg',[status(esa)],[aSatz5_8]) ).

thf(zip_derived_cl67,plain,
    ~ ( le @ sk_ @ sk__1 @ sk__4 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    le @ sk__2 @ sk__3 @ sk__4 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(aA1,axiom,
    ! [X: $i,Y: $i] : ( s_e @ X @ Y @ Y @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] : ( s_e @ X0 @ X1 @ X1 @ X0 ),
    inference(cnf,[status(esa)],[aA1]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i] : ( s_e @ X0 @ X1 @ X1 @ X0 ),
    inference(cnf,[status(esa)],[aA1]) ).

thf(aSatz5_6,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
      ( ( le @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
      | ~ ( s_e @ Xc @ Xd @ Xc1 @ Xd1 )
      | ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
      | ~ ( le @ Xa @ Xb @ Xc @ Xd ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( s_e @ X0 @ X1 @ X2 @ X3 )
      | ~ ( le @ X0 @ X1 @ X4 @ X5 )
      | ~ ( s_e @ X4 @ X5 @ X6 @ X7 )
      | ( le @ X2 @ X3 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[aSatz5_6]) ).

thf(zip_derived_cl1676,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( le @ X1 @ X0 @ X3 @ X2 )
      | ~ ( s_e @ X5 @ X4 @ X3 @ X2 )
      | ~ ( le @ X0 @ X1 @ X5 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl65]) ).

thf(zip_derived_cl1685,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( le @ X3 @ X2 @ X0 @ X1 )
      | ( le @ X2 @ X3 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1676]) ).

thf(zip_derived_cl1704,plain,
    le @ sk__3 @ sk__2 @ sk__5 @ sk__4,
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl1685]) ).

thf(aSatz2_1,axiom,
    ! [Xa: $i,Xb: $i] : ( s_e @ Xa @ Xb @ Xa @ Xb ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] : ( s_e @ X0 @ X1 @ X0 @ X1 ),
    inference(cnf,[status(esa)],[aSatz2_1]) ).

thf(zip_derived_cl1676_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( le @ X1 @ X0 @ X3 @ X2 )
      | ~ ( s_e @ X5 @ X4 @ X3 @ X2 )
      | ~ ( le @ X0 @ X1 @ X5 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl65]) ).

thf(zip_derived_cl1686,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( le @ X3 @ X2 @ X1 @ X0 )
      | ( le @ X2 @ X3 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1676]) ).

thf(zip_derived_cl1754,plain,
    le @ sk__2 @ sk__3 @ sk__5 @ sk__4,
    inference('sup-',[status(thm)],[zip_derived_cl1704,zip_derived_cl1686]) ).

thf(aSatz5_5a,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
      ( ( ( ( ins @ Xc @ Xd @ Xa @ Xb )
          = ( ext @ Xa @ Xb @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) )
        | ~ ( le @ Xa @ Xb @ Xc @ Xd ) )
      & ( ( s_e @ Xa @ ( ins @ Xc @ Xd @ Xa @ Xb ) @ Xc @ Xd )
        | ~ ( le @ Xa @ Xb @ Xc @ Xd ) )
      & ( ( s_t @ Xa @ Xb @ ( ins @ Xc @ Xd @ Xa @ Xb ) )
        | ~ ( le @ Xa @ Xb @ Xc @ Xd ) ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( ins @ X2 @ X3 @ X0 @ X1 )
        = ( ext @ X0 @ X1 @ ( insert @ X0 @ X1 @ X2 @ X3 ) @ X3 ) )
      | ~ ( le @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[aSatz5_5a]) ).

thf(zip_derived_cl1779,plain,
    ( ( ins @ sk__5 @ sk__4 @ sk__2 @ sk__3 )
    = ( ext @ sk__2 @ sk__3 @ ( insert @ sk__2 @ sk__3 @ sk__5 @ sk__4 ) @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl63]) ).

thf(aA4,axiom,
    ! [X: $i,Y: $i,W: $i,V: $i] :
      ( ( s_e @ Y @ ( ext @ X @ Y @ W @ V ) @ W @ V )
      & ( s_t @ X @ Y @ ( ext @ X @ Y @ W @ V ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_t @ X0 @ X1 @ ( ext @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[aA4]) ).

thf(zip_derived_cl69,plain,
    le @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d_Defn5_4,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Y: $i] :
      ( ( ( le @ Xa @ Xb @ Xc @ Xd )
        | ~ ( s_e @ Xa @ Xb @ Xc @ Y )
        | ~ ( s_t @ Xc @ Y @ Xd ) )
      & ( ( s_e @ Xa @ Xb @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) )
        | ~ ( le @ Xa @ Xb @ Xc @ Xd ) )
      & ( ( s_t @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd )
        | ~ ( le @ Xa @ Xb @ Xc @ Xd ) ) ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s_t @ X0 @ ( insert @ X1 @ X2 @ X0 @ X3 ) @ X3 )
      | ~ ( le @ X1 @ X2 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[d_Defn5_4]) ).

thf(zip_derived_cl882,plain,
    s_t @ sk__2 @ ( insert @ sk_ @ sk__1 @ sk__2 @ sk__3 ) @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl99]) ).

thf(aSatz3_6b,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
      ( ( s_t @ Xa @ Xb @ Xd )
      | ~ ( s_t @ Xa @ Xc @ Xd )
      | ~ ( s_t @ Xa @ Xb @ Xc ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( s_t @ X0 @ X1 @ X2 )
      | ~ ( s_t @ X0 @ X2 @ X3 )
      | ( s_t @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[aSatz3_6b]) ).

thf(zip_derived_cl895,plain,
    ! [X0: $i] :
      ( ( s_t @ sk__2 @ ( insert @ sk_ @ sk__1 @ sk__2 @ sk__3 ) @ X0 )
      | ~ ( s_t @ sk__2 @ sk__3 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl882,zip_derived_cl31]) ).

thf(zip_derived_cl2579,plain,
    ! [X0: $i,X1: $i] : ( s_t @ sk__2 @ ( insert @ sk_ @ sk__1 @ sk__2 @ sk__3 ) @ ( ext @ sk__2 @ sk__3 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl895]) ).

thf(d_insert,axiom,
    ! [Xa: $i,Xb: $i,Xa1: $i,Xc1: $i] :
      ( ( insert @ Xa @ Xb @ Xa1 @ Xc1 )
      = ( ext @ ( ext @ Xc1 @ Xa1 @ alpha @ gamma ) @ Xa1 @ Xa @ Xb ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( insert @ X2 @ X3 @ X1 @ X0 )
      = ( ext @ ( ext @ X0 @ X1 @ alpha @ gamma ) @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[d_insert]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_e @ X0 @ ( ext @ X1 @ X0 @ X2 @ X3 ) @ X2 @ X3 ),
    inference(cnf,[status(esa)],[aA4]) ).

thf(aSatz2_2,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
      ( ( s_e @ Xc @ Xd @ Xa @ Xb )
      | ~ ( s_e @ Xa @ Xb @ Xc @ Xd ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s_e @ X0 @ X1 @ X2 @ X3 )
      | ~ ( s_e @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[aSatz2_2]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( s_e @ X1 @ X0 @ X2 @ ( ext @ X3 @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( le @ X0 @ X1 @ X2 @ X3 )
      | ~ ( s_e @ X0 @ X1 @ X2 @ X4 )
      | ~ ( s_t @ X2 @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[d_Defn5_4]) ).

thf(zip_derived_cl3952,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( s_t @ X2 @ ( ext @ X3 @ X2 @ X1 @ X0 ) @ X4 )
      | ( le @ X1 @ X0 @ X2 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl98]) ).

thf(zip_derived_cl3978,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( s_t @ X1 @ ( insert @ X3 @ X2 @ X1 @ X0 ) @ X4 )
      | ( le @ X3 @ X2 @ X1 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl3952]) ).

thf(zip_derived_cl144402,plain,
    ! [X0: $i,X1: $i] : ( le @ sk_ @ sk__1 @ sk__2 @ ( ext @ sk__2 @ sk__3 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2579,zip_derived_cl3978]) ).

thf(zip_derived_cl144481,plain,
    le @ sk_ @ sk__1 @ sk__2 @ ( ins @ sk__5 @ sk__4 @ sk__2 @ sk__3 ),
    inference('sup+',[status(thm)],[zip_derived_cl1779,zip_derived_cl144402]) ).

thf(zip_derived_cl1754_003,plain,
    le @ sk__2 @ sk__3 @ sk__5 @ sk__4,
    inference('sup-',[status(thm)],[zip_derived_cl1704,zip_derived_cl1686]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s_e @ X0 @ ( ins @ X1 @ X2 @ X0 @ X3 ) @ X1 @ X2 )
      | ~ ( le @ X0 @ X3 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[aSatz5_5a]) ).

thf(zip_derived_cl1780,plain,
    s_e @ sk__2 @ ( ins @ sk__5 @ sk__4 @ sk__2 @ sk__3 ) @ sk__5 @ sk__4,
    inference('sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl62]) ).

thf(aSatz2_5,axiom,
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
      ( ( s_e @ Xa @ Xb @ Xd @ Xc )
      | ~ ( s_e @ Xa @ Xb @ Xc @ Xd ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s_e @ X0 @ X1 @ X2 @ X3 )
      | ~ ( s_e @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[aSatz2_5]) ).

thf(zip_derived_cl10216,plain,
    s_e @ sk__2 @ ( ins @ sk__5 @ sk__4 @ sk__2 @ sk__3 ) @ sk__4 @ sk__5,
    inference('sup-',[status(thm)],[zip_derived_cl1780,zip_derived_cl16]) ).

thf(zip_derived_cl12_004,plain,
    ! [X0: $i,X1: $i] : ( s_e @ X0 @ X1 @ X0 @ X1 ),
    inference(cnf,[status(esa)],[aSatz2_1]) ).

thf(zip_derived_cl65_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( s_e @ X0 @ X1 @ X2 @ X3 )
      | ~ ( le @ X0 @ X1 @ X4 @ X5 )
      | ~ ( s_e @ X4 @ X5 @ X6 @ X7 )
      | ( le @ X2 @ X3 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[aSatz5_6]) ).

thf(zip_derived_cl1677,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( le @ X1 @ X0 @ X3 @ X2 )
      | ~ ( s_e @ X5 @ X4 @ X3 @ X2 )
      | ~ ( le @ X1 @ X0 @ X5 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl65]) ).

thf(zip_derived_cl35468,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( le @ X1 @ X0 @ sk__2 @ ( ins @ sk__5 @ sk__4 @ sk__2 @ sk__3 ) )
      | ( le @ X1 @ X0 @ sk__4 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10216,zip_derived_cl1677]) ).

thf(zip_derived_cl144529,plain,
    le @ sk_ @ sk__1 @ sk__4 @ sk__5,
    inference('sup-',[status(thm)],[zip_derived_cl144481,zip_derived_cl35468]) ).

thf(zip_derived_cl144875,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl144529]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : GEO494+1 : TPTP v9.2.0. Released v7.0.0.
% 0.04/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3SGKSJwlLf true
% 0.08/0.31  % Computer : n023.cluster.edu
% 0.08/0.31  % Model    : x86_64 x86_64
% 0.08/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31  % Memory   : 8042.1875MB
% 0.08/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31  % CPULimit : 300
% 0.08/0.31  % WCLimit  : 300
% 0.08/0.31  % DateTime : Wed Oct  1 17:42:38 EDT 2025
% 0.08/0.31  % CPUTime  : 
% 0.08/0.31  % Running portfolio for 300 s
% 0.08/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.31  % Number of cores: 8
% 0.08/0.32  % Python version: Python 3.6.8
% 0.08/0.32  % Running in FO mode
% 0.13/0.58  % Total configuration time : 435
% 0.13/0.58  % Estimated wc time : 1092
% 0.13/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.12/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 234.71/41.75  % Solved by fo/fo5.sh.
% 234.71/41.75  % done 13068 iterations in 40.902s
% 234.71/41.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 234.71/41.75  % SZS output start Refutation
% See solution above
% 234.71/41.75  
% 234.71/41.75  
% 234.71/41.75  % Terminating...
% 235.49/41.96  % Runner terminated.
% 235.49/41.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------