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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP032^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Dq6l5dOlcq true

% Computer : n029.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 04:38:37 PM UTC 2025

% Result   : Theorem 29.59s 4.33s
% Output   : Refutation 29.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  100 (   2   ~;   0   |;   6   &;  80   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-3 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   6   ^;   6   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(set_a_type,type,
    set_a: $tType ).

thf(binary1439146945Tree_a_type,type,
    binary1439146945Tree_a: $tType ).

thf(int_type,type,
    int: $tType ).

thf(binary717961607le_T_a_type,type,
    binary717961607le_T_a: binary1439146945Tree_a > a > binary1439146945Tree_a > binary1439146945Tree_a ).

thf(binary945792244etOf_a_type,type,
    binary945792244etOf_a: binary1439146945Tree_a > set_a ).

thf(w_type,type,
    w: a ).

thf(member_a_type,type,
    member_a: a > set_a > $o ).

thf(t2_type,type,
    t2: binary1439146945Tree_a ).

thf(h_type,type,
    h: a > int ).

thf(ord_less_int_type,type,
    ord_less_int: int > int > $o ).

thf(x_type,type,
    x: a ).

thf(binary1721989714Tree_a_type,type,
    binary1721989714Tree_a: ( a > int ) > binary1439146945Tree_a > $o ).

thf(t1_type,type,
    t1: binary1439146945Tree_a ).

thf(fact_0_whSet,axiom,
    member_a @ w @ ( binary945792244etOf_a @ t1 ) ).

thf(zip_derived_cl0,plain,
    member_a @ w @ ( binary945792244etOf_a @ t1 ),
    inference(cnf,[status(esa)],[fact_0_whSet]) ).

thf(fact_1_s,axiom,
    binary1721989714Tree_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ).

thf(zip_derived_cl1,plain,
    binary1721989714Tree_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ),
    inference(cnf,[status(esa)],[fact_1_s]) ).

thf(conj_0,conjecture,
    ord_less_int @ ( h @ w ) @ ( h @ x ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_int @ ( h @ w ) @ ( h @ x ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl350,plain,
    ~ ( ord_less_int @ ( h @ w ) @ ( h @ x ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_19_sortedTree_Osimps_I2_J,axiom,
    ! [H: a > int,T1: binary1439146945Tree_a,X3: a,T2: binary1439146945Tree_a] :
      ( ( binary1721989714Tree_a @ H @ ( binary717961607le_T_a @ T1 @ X3 @ T2 ) )
    <=> ( ( binary1721989714Tree_a @ H @ T1 )
        & ! [X4: a] :
            ( ( member_a @ X4 @ ( binary945792244etOf_a @ T1 ) )
           => ( ord_less_int @ ( H @ X4 ) @ ( H @ X3 ) ) )
        & ! [X4: a] :
            ( ( member_a @ X4 @ ( binary945792244etOf_a @ T2 ) )
           => ( ord_less_int @ ( H @ X3 ) @ ( H @ X4 ) ) )
        & ( binary1721989714Tree_a @ H @ T2 ) ) ) ).

thf(zip_derived_cl19,plain,
    ( !!
    @ ^ [Y0: a > int] :
        ( !!
        @ ^ [Y1: binary1439146945Tree_a] :
            ( !!
            @ ^ [Y2: a] :
                ( !!
                @ ^ [Y3: binary1439146945Tree_a] :
                    ( ( binary1721989714Tree_a @ Y0 @ ( binary717961607le_T_a @ Y1 @ Y2 @ Y3 ) )
                  <=> ( ( binary1721989714Tree_a @ Y0 @ Y1 )
                      & ( !!
                        @ ^ [Y4: a] :
                            ( ( member_a @ Y4 @ ( binary945792244etOf_a @ Y1 ) )
                           => ( ord_less_int @ ( Y0 @ Y4 ) @ ( Y0 @ Y2 ) ) ) )
                      & ( !!
                        @ ^ [Y4: a] :
                            ( ( member_a @ Y4 @ ( binary945792244etOf_a @ Y3 ) )
                           => ( ord_less_int @ ( Y0 @ Y2 ) @ ( Y0 @ Y4 ) ) ) )
                      & ( binary1721989714Tree_a @ Y0 @ Y3 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_19_sortedTree_Osimps_I2_J]) ).

thf(zip_derived_cl1957,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl1,zip_derived_cl350,zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : ITP032^1 : TPTP v9.2.0. Released v7.5.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Dq6l5dOlcq true
% 0.10/0.33  % Computer : n029.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Wed Oct  1 15:30:08 EDT 2025
% 0.10/0.33  % CPUTime  : 
% 0.10/0.33  % Running portfolio for 300 s
% 0.10/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33  % Number of cores: 8
% 0.10/0.34  % Python version: Python 3.6.8
% 0.10/0.34  % Running in HO mode
% 0.48/0.63  % Total configuration time : 828
% 0.48/0.63  % Estimated wc time : 1656
% 0.48/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.49/0.72  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.77  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 29.59/4.33  % Solved by lams/15_e_short1.sh.
% 29.59/4.33  % done 216 iterations in 3.589s
% 29.59/4.33  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.59/4.33  % SZS output start Refutation
% See solution above
% 29.59/4.33  
% 29.59/4.33  
% 29.59/4.33  % Terminating...
% 30.29/4.45  % Runner terminated.
% 30.29/4.46  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------