%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP150^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tEq99fsLez true

% Computer : n018.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 Aug 31 05:22:30 EDT 2023

% Result   : Theorem 12.50s 2.34s
% Output   : Refutation 12.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   43 (  25 unt;  10 typ;   0 def)
%            Number of atoms       :   50 (  35 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  300 (   7   ~;   0   |;   0   &; 278   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   5 con; 0-2 aty)
%                                         (  14  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   67 (  20   ^;  47   !;   0   ?;  67   :)

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

thf(list_a_type,type,
    list_a: $tType ).

thf(polyno727731844poly_a_type,type,
    polyno727731844poly_a: $tType ).

thf('#sk1_type',type,
    '#sk1': list_a ).

thf(polyno1934269411ymul_a_type,type,
    polyno1934269411ymul_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a ).

thf(times_times_a_type,type,
    times_times_a: a > a > a ).

thf(p_type,type,
    p: polyno727731844poly_a ).

thf(q_type,type,
    q: polyno727731844poly_a ).

thf(polyno1491482291_Mul_a_type,type,
    polyno1491482291_Mul_a: polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a ).

thf(polyno422358502poly_a_type,type,
    polyno422358502poly_a: list_a > polyno727731844poly_a > a ).

thf(fact_0__092_060open_062_I_092_060forall_062bs_O_AIpoly_Abs_A_Ip_A_K_092_060_094sub_062p_Aq_J_A_061_AIpoly_Abs_A_Iq_A_K_092_060_094sub_062p_Ap_J_J_A_061_A_Ip_A_K_092_060_094sub_062p_Aq_A_061_Aq_A_K_092_060_094sub_062p_Ap_J_092_060close_062,axiom,
    ( ! [Bs: list_a] :
        ( ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ p @ q ) )
        = ( polyno422358502poly_a @ Bs @ ( polyno1934269411ymul_a @ q @ p ) ) )
  <=> ( ( polyno1934269411ymul_a @ p @ q )
      = ( polyno1934269411ymul_a @ q @ p ) ) ) ).

thf(zip_derived_cl0,plain,
    ( ( !!
      @ ^ [Y0: list_a] :
          ( ( polyno422358502poly_a @ Y0 @ ( polyno1934269411ymul_a @ p @ q ) )
          = ( polyno422358502poly_a @ Y0 @ ( polyno1934269411ymul_a @ q @ p ) ) ) )
    = ( ( polyno1934269411ymul_a @ p @ q )
      = ( polyno1934269411ymul_a @ q @ p ) ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062_I_092_060forall_062bs_O_AIpoly_Abs_A_Ip_A_K_092_060_094sub_062p_Aq_J_A_061_AIpoly_Abs_A_Iq_A_K_092_060_094sub_062p_Ap_J_J_A_061_A_Ip_A_K_092_060_094sub_062p_Aq_A_061_Aq_A_K_092_060_094sub_062p_Ap_J_092_060close_062]) ).

thf(conj_0,conjecture,
    ( ( polyno1934269411ymul_a @ p @ q )
    = ( polyno1934269411ymul_a @ q @ p ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( polyno1934269411ymul_a @ p @ q )
   != ( polyno1934269411ymul_a @ q @ p ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl355,plain,
    ( ( polyno1934269411ymul_a @ p @ q )
   != ( polyno1934269411ymul_a @ q @ p ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ~ ( !!
      @ ^ [Y0: list_a] :
          ( ( polyno422358502poly_a @ Y0 @ ( polyno1934269411ymul_a @ p @ q ) )
          = ( polyno422358502poly_a @ Y0 @ ( polyno1934269411ymul_a @ q @ p ) ) ) ),
    inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl0,zip_derived_cl355]) ).

thf(zip_derived_cl366,plain,
    ( ( polyno422358502poly_a @ '#sk1' @ ( polyno1934269411ymul_a @ p @ q ) )
   != ( polyno422358502poly_a @ '#sk1' @ ( polyno1934269411ymul_a @ q @ p ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl365]) ).

thf(zip_derived_cl367,plain,
    ( ( polyno422358502poly_a @ '#sk1' @ ( polyno1934269411ymul_a @ p @ q ) )
   != ( polyno422358502poly_a @ '#sk1' @ ( polyno1934269411ymul_a @ q @ p ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl366]) ).

thf(fact_10_polymul,axiom,
    ! [Bs2: list_a,P: polyno727731844poly_a,Q: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ Bs2 @ ( polyno1934269411ymul_a @ P @ Q ) )
      = ( times_times_a @ ( polyno422358502poly_a @ Bs2 @ P ) @ ( polyno422358502poly_a @ Bs2 @ Q ) ) ) ).

thf(zip_derived_cl10,plain,
    ( !!
    @ ^ [Y0: list_a] :
        ( !!
        @ ^ [Y1: polyno727731844poly_a] :
            ( !!
            @ ^ [Y2: polyno727731844poly_a] :
                ( ( polyno422358502poly_a @ Y0 @ ( polyno1934269411ymul_a @ Y1 @ Y2 ) )
                = ( times_times_a @ ( polyno422358502poly_a @ Y0 @ Y1 ) @ ( polyno422358502poly_a @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_10_polymul]) ).

thf(zip_derived_cl961,plain,
    ! [X2: list_a] :
      ( !!
      @ ^ [Y0: polyno727731844poly_a] :
          ( !!
          @ ^ [Y1: polyno727731844poly_a] :
              ( ( polyno422358502poly_a @ X2 @ ( polyno1934269411ymul_a @ Y0 @ Y1 ) )
              = ( times_times_a @ ( polyno422358502poly_a @ X2 @ Y0 ) @ ( polyno422358502poly_a @ X2 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl962,plain,
    ! [X2: list_a,X4: polyno727731844poly_a] :
      ( !!
      @ ^ [Y0: polyno727731844poly_a] :
          ( ( polyno422358502poly_a @ X2 @ ( polyno1934269411ymul_a @ X4 @ Y0 ) )
          = ( times_times_a @ ( polyno422358502poly_a @ X2 @ X4 ) @ ( polyno422358502poly_a @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl961]) ).

thf(zip_derived_cl963,plain,
    ! [X2: list_a,X4: polyno727731844poly_a,X6: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1934269411ymul_a @ X4 @ X6 ) )
      = ( times_times_a @ ( polyno422358502poly_a @ X2 @ X4 ) @ ( polyno422358502poly_a @ X2 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl962]) ).

thf(zip_derived_cl964,plain,
    ! [X2: list_a,X4: polyno727731844poly_a,X6: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1934269411ymul_a @ X4 @ X6 ) )
      = ( times_times_a @ ( polyno422358502poly_a @ X2 @ X4 ) @ ( polyno422358502poly_a @ X2 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl963]) ).

thf(fact_29_Ipoly_Osimps_I6_J,axiom,
    ! [Bs2: list_a,A: polyno727731844poly_a,B: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ Bs2 @ ( polyno1491482291_Mul_a @ A @ B ) )
      = ( times_times_a @ ( polyno422358502poly_a @ Bs2 @ A ) @ ( polyno422358502poly_a @ Bs2 @ B ) ) ) ).

thf(zip_derived_cl29,plain,
    ( !!
    @ ^ [Y0: list_a] :
        ( !!
        @ ^ [Y1: polyno727731844poly_a] :
            ( !!
            @ ^ [Y2: polyno727731844poly_a] :
                ( ( polyno422358502poly_a @ Y0 @ ( polyno1491482291_Mul_a @ Y1 @ Y2 ) )
                = ( times_times_a @ ( polyno422358502poly_a @ Y0 @ Y1 ) @ ( polyno422358502poly_a @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_29_Ipoly_Osimps_I6_J]) ).

thf(zip_derived_cl2075,plain,
    ! [X2: list_a] :
      ( !!
      @ ^ [Y0: polyno727731844poly_a] :
          ( !!
          @ ^ [Y1: polyno727731844poly_a] :
              ( ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ Y0 @ Y1 ) )
              = ( times_times_a @ ( polyno422358502poly_a @ X2 @ Y0 ) @ ( polyno422358502poly_a @ X2 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl2076,plain,
    ! [X2: list_a,X4: polyno727731844poly_a] :
      ( !!
      @ ^ [Y0: polyno727731844poly_a] :
          ( ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X4 @ Y0 ) )
          = ( times_times_a @ ( polyno422358502poly_a @ X2 @ X4 ) @ ( polyno422358502poly_a @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2075]) ).

thf(zip_derived_cl2077,plain,
    ! [X2: list_a,X4: polyno727731844poly_a,X6: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X4 @ X6 ) )
      = ( times_times_a @ ( polyno422358502poly_a @ X2 @ X4 ) @ ( polyno422358502poly_a @ X2 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2076]) ).

thf(zip_derived_cl2078,plain,
    ! [X2: list_a,X4: polyno727731844poly_a,X6: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X4 @ X6 ) )
      = ( times_times_a @ ( polyno422358502poly_a @ X2 @ X4 ) @ ( polyno422358502poly_a @ X2 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2077]) ).

thf(zip_derived_cl2079,plain,
    ! [X2: list_a,X4: polyno727731844poly_a,X6: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1934269411ymul_a @ X4 @ X6 ) )
      = ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X4 @ X6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl964,zip_derived_cl2078]) ).

thf(zip_derived_cl2079_001,plain,
    ! [X2: list_a,X4: polyno727731844poly_a,X6: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1934269411ymul_a @ X4 @ X6 ) )
      = ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X4 @ X6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl964,zip_derived_cl2078]) ).

thf(zip_derived_cl2829,plain,
    ( ( polyno422358502poly_a @ '#sk1' @ ( polyno1491482291_Mul_a @ p @ q ) )
   != ( polyno422358502poly_a @ '#sk1' @ ( polyno1491482291_Mul_a @ q @ p ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl2079,zip_derived_cl2079]) ).

thf(zip_derived_cl2078_002,plain,
    ! [X2: list_a,X4: polyno727731844poly_a,X6: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X4 @ X6 ) )
      = ( times_times_a @ ( polyno422358502poly_a @ X2 @ X4 ) @ ( polyno422358502poly_a @ X2 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2077]) ).

thf(fact_132_mult_Ocommute,axiom,
    ( times_times_a
    = ( ^ [A2: a,B2: a] : ( times_times_a @ B2 @ A2 ) ) ) ).

thf(zip_derived_cl132,plain,
    ( times_times_a
    = ( ^ [Y0: a,Y1: a] : ( times_times_a @ Y1 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_132_mult_Ocommute]) ).

thf(zip_derived_cl592,plain,
    ! [X1: a,X2: a] :
      ( ( times_times_a @ X1 @ X2 )
      = ( ^ [Y0: a,Y1: a] : ( times_times_a @ Y1 @ Y0 )
        @ X1
        @ X2 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl132]) ).

thf(zip_derived_cl594,plain,
    ! [X1: a,X2: a] :
      ( ( times_times_a @ X1 @ X2 )
      = ( times_times_a @ X2 @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl592]) ).

thf(zip_derived_cl2080,plain,
    ! [X0: polyno727731844poly_a,X1: polyno727731844poly_a,X2: list_a] :
      ( ( times_times_a @ ( polyno422358502poly_a @ X2 @ X0 ) @ ( polyno422358502poly_a @ X2 @ X1 ) )
      = ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2078,zip_derived_cl594]) ).

thf(zip_derived_cl2078_003,plain,
    ! [X2: list_a,X4: polyno727731844poly_a,X6: polyno727731844poly_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X4 @ X6 ) )
      = ( times_times_a @ ( polyno422358502poly_a @ X2 @ X4 ) @ ( polyno422358502poly_a @ X2 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2077]) ).

thf(zip_derived_cl2946,plain,
    ! [X0: polyno727731844poly_a,X1: polyno727731844poly_a,X2: list_a] :
      ( ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X0 @ X1 ) )
      = ( polyno422358502poly_a @ X2 @ ( polyno1491482291_Mul_a @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2080,zip_derived_cl2078]) ).

thf(zip_derived_cl2983,plain,
    ( ( polyno422358502poly_a @ '#sk1' @ ( polyno1491482291_Mul_a @ p @ q ) )
   != ( polyno422358502poly_a @ '#sk1' @ ( polyno1491482291_Mul_a @ p @ q ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2829,zip_derived_cl2946]) ).

thf(zip_derived_cl2984,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2983]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : ITP150^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tEq99fsLez true
% 0.15/0.37  % Computer : n018.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.38  % WCLimit  : 300
% 0.15/0.38  % DateTime : Sun Aug 27 12:00:31 EDT 2023
% 0.15/0.38  % CPUTime  : 
% 0.15/0.38  % Running portfolio for 300 s
% 0.15/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in HO mode
% 0.22/0.71  % Total configuration time : 828
% 0.22/0.71  % Estimated wc time : 1656
% 0.22/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.85  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 2.03/0.96  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 12.50/2.34  % Solved by lams/15_e_short1.sh.
% 12.50/2.34  % done 492 iterations in 1.506s
% 12.50/2.34  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.50/2.34  % SZS output start Refutation
% See solution above
% 12.50/2.34  
% 12.50/2.34  
% 12.50/2.34  % Terminating...
% 13.43/2.41  % Runner terminated.
% 13.43/2.42  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------