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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP096^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qnp4zRIiFu true

% Computer : n015.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 04:38:49 PM UTC 2025

% Result   : Theorem 56.79s 7.81s
% Output   : Refutation 56.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   23 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   53 (  10 equ;   1 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  173 (   2   ~;   0   |;   0   &; 150   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  17 usr;  10 con; 0-2 aty)
%                                         (  13  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   30 (  17   ^;  13   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(real_type,type,
    real: $tType ).

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

thf(nat_type,type,
    nat: $tType ).

thf(ord_less_real_type,type,
    ord_less_real: real > real > $o ).

thf(minus_minus_real_type,type,
    minus_minus_real: real > real > real ).

thf(zero_zero_int_type,type,
    zero_zero_int: int ).

thf(minus_minus_int_type,type,
    minus_minus_int: int > int > int ).

thf(one_one_int_type,type,
    one_one_int: int ).

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

thf(ring_1_of_int_real_type,type,
    ring_1_of_int_real: int > real ).

thf(n_type,type,
    n: nat ).

thf(abs_abs_real_type,type,
    abs_abs_real: real > real ).

thf(x_type,type,
    x: real ).

thf(p_type,type,
    p: nat > int ).

thf(q_type,type,
    q: nat > int ).

thf(c_type,type,
    c: real ).

thf(power_power_real_type,type,
    power_power_real: real > nat > real ).

thf(zero_zero_real_type,type,
    zero_zero_real: real ).

thf(m_type,type,
    m: nat ).

thf(divide_divide_real_type,type,
    divide_divide_real: real > real > real ).

thf(fact_8__092_060open_062_092_060bar_062x_A_N_Areal__of__int_A_Ip_Am_J_A_P_Areal__of__int_A_Iq_Am_J_092_060bar_062_A_060_Ac_A_P_Areal__of__int_A_Iq_Am_J_A_094_An_092_060close_062,axiom,
    ord_less_real @ ( abs_abs_real @ ( minus_minus_real @ x @ ( divide_divide_real @ ( ring_1_of_int_real @ ( p @ m ) ) @ ( ring_1_of_int_real @ ( q @ m ) ) ) ) ) @ ( divide_divide_real @ c @ ( power_power_real @ ( ring_1_of_int_real @ ( q @ m ) ) @ n ) ) ).

thf(zip_derived_cl8,plain,
    ord_less_real @ ( abs_abs_real @ ( minus_minus_real @ x @ ( divide_divide_real @ ( ring_1_of_int_real @ ( p @ m ) ) @ ( ring_1_of_int_real @ ( q @ m ) ) ) ) ) @ ( divide_divide_real @ c @ ( power_power_real @ ( ring_1_of_int_real @ ( q @ m ) ) @ n ) ),
    inference(cnf,[status(esa)],[fact_8__092_060open_062_092_060bar_062x_A_N_Areal__of__int_A_Ip_Am_J_A_P_Areal__of__int_A_Iq_Am_J_092_060bar_062_A_060_Ac_A_P_Areal__of__int_A_Iq_Am_J_A_094_An_092_060close_062]) ).

thf(fact_2_denom__gt__1,axiom,
    ! [N: nat] : ( ord_less_int @ one_one_int @ ( q @ N ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: nat] : ( ord_less_int @ one_one_int @ ( q @ Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_2_denom__gt__1]) ).

thf(fact_19_zero__less__one,axiom,
    ord_less_int @ zero_zero_int @ one_one_int ).

thf(zip_derived_cl19,plain,
    ord_less_int @ zero_zero_int @ one_one_int,
    inference(cnf,[status(esa)],[fact_19_zero__less__one]) ).

thf(fact_94_cn_I2_J,axiom,
    ! [Q: int,P: int] :
      ( ( ord_less_int @ zero_zero_int @ Q )
     => ( ord_less_real @ ( divide_divide_real @ c @ ( power_power_real @ ( ring_1_of_int_real @ Q ) @ n ) ) @ ( abs_abs_real @ ( minus_minus_real @ x @ ( divide_divide_real @ ( ring_1_of_int_real @ P ) @ ( ring_1_of_int_real @ Q ) ) ) ) ) ) ).

thf(zip_derived_cl94,plain,
    ( !!
    @ ^ [Y0: int] :
        ( !!
        @ ^ [Y1: int] :
            ( ( ord_less_int @ zero_zero_int @ Y0 )
           => ( ord_less_real @ ( divide_divide_real @ c @ ( power_power_real @ ( ring_1_of_int_real @ Y0 ) @ n ) ) @ ( abs_abs_real @ ( minus_minus_real @ x @ ( divide_divide_real @ ( ring_1_of_int_real @ Y1 ) @ ( ring_1_of_int_real @ Y0 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_94_cn_I2_J]) ).

thf(fact_202_minus__int__code_I1_J,axiom,
    ! [K: int] :
      ( ( minus_minus_int @ K @ zero_zero_int )
      = K ) ).

thf(zip_derived_cl202,plain,
    ( !!
    @ ^ [Y0: int] :
        ( ( minus_minus_int @ Y0 @ zero_zero_int )
        = Y0 ) ),
    inference(cnf,[status(esa)],[fact_202_minus__int__code_I1_J]) ).

thf(fact_70_diff__gt__0__iff__gt,axiom,
    ! [A: real,B: real] :
      ( ( ord_less_real @ zero_zero_real @ ( minus_minus_real @ A @ B ) )
      = ( ord_less_real @ B @ A ) ) ).

thf(zip_derived_cl70,plain,
    ( !!
    @ ^ [Y0: real] :
        ( !!
        @ ^ [Y1: real] :
            ( ( ord_less_real @ zero_zero_real @ ( minus_minus_real @ Y0 @ Y1 ) )
            = ( ord_less_real @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_70_diff__gt__0__iff__gt]) ).

thf(fact_40_diff__self,axiom,
    ! [A: int] :
      ( ( minus_minus_int @ A @ A )
      = zero_zero_int ) ).

thf(zip_derived_cl40,plain,
    ( !!
    @ ^ [Y0: int] :
        ( ( minus_minus_int @ Y0 @ Y0 )
        = zero_zero_int ) ),
    inference(cnf,[status(esa)],[fact_40_diff__self]) ).

thf(fact_123_diff__strict__mono,axiom,
    ! [A: int,B: int,D: int,C2: int] :
      ( ( ord_less_int @ A @ B )
     => ( ( ord_less_int @ D @ C2 )
       => ( ord_less_int @ ( minus_minus_int @ A @ C2 ) @ ( minus_minus_int @ B @ D ) ) ) ) ).

thf(zip_derived_cl123,plain,
    ( !!
    @ ^ [Y0: int] :
        ( !!
        @ ^ [Y1: int] :
            ( !!
            @ ^ [Y2: int] :
                ( !!
                @ ^ [Y3: int] :
                    ( ( ord_less_int @ Y0 @ Y1 )
                   => ( ( ord_less_int @ Y2 @ Y3 )
                     => ( ord_less_int @ ( minus_minus_int @ Y0 @ Y3 ) @ ( minus_minus_int @ Y1 @ Y2 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_123_diff__strict__mono]) ).

thf(fact_143_less__iff__diff__less__0,axiom,
    ( ord_less_real
    = ( ^ [A3: real,B2: real] : ( ord_less_real @ ( minus_minus_real @ A3 @ B2 ) @ zero_zero_real ) ) ) ).

thf(zip_derived_cl143,plain,
    ( ord_less_real
    = ( ^ [Y0: real,Y1: real] : ( ord_less_real @ ( minus_minus_real @ Y0 @ Y1 ) @ zero_zero_real ) ) ),
    inference(cnf,[status(esa)],[fact_143_less__iff__diff__less__0]) ).

thf(fact_138_abs__of__pos,axiom,
    ! [A: real] :
      ( ( ord_less_real @ zero_zero_real @ A )
     => ( ( abs_abs_real @ A )
        = A ) ) ).

thf(zip_derived_cl138,plain,
    ( !!
    @ ^ [Y0: real] :
        ( ( ord_less_real @ zero_zero_real @ Y0 )
       => ( ( abs_abs_real @ Y0 )
          = Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_138_abs__of__pos]) ).

thf(fact_136_abs__not__less__zero,axiom,
    ! [A: real] :
      ~ ( ord_less_real @ ( abs_abs_real @ A ) @ zero_zero_real ) ).

thf(zip_derived_cl136,plain,
    ( !!
    @ ^ [Y0: real] : ( (~) @ ( ord_less_real @ ( abs_abs_real @ Y0 ) @ zero_zero_real ) ) ),
    inference(cnf,[status(esa)],[fact_136_abs__not__less__zero]) ).

thf(zip_derived_cl4938,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl8,zip_derived_cl2,zip_derived_cl19,zip_derived_cl94,zip_derived_cl202,zip_derived_cl70,zip_derived_cl40,zip_derived_cl123,zip_derived_cl143,zip_derived_cl138,zip_derived_cl136]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP096^1 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qnp4zRIiFu true
% 0.13/0.34  % Computer : n015.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 15:33:23 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.55/0.69  % Total configuration time : 828
% 0.55/0.69  % Estimated wc time : 1656
% 0.55/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.57/0.80  % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 0.57/0.84  % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 0.60/0.86  % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
% 0.60/0.88  % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 0.61/0.93  % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s
% 0.61/0.98  % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s
% 56.79/7.81  % Solved by lams/15_e_short1.sh.
% 56.79/7.81  % done 472 iterations in 7.029s
% 56.79/7.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 56.79/7.81  % SZS output start Refutation
% See solution above
% 56.79/7.81  
% 56.79/7.81  
% 56.79/7.81  % Terminating...
% 56.80/7.90  % Runner terminated.
% 56.80/7.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------