TSTP Solution File: ITP193^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP193^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4fSMTGkXr1 true

% Computer : n006.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 05:22:47 EDT 2023

% Result   : Theorem 1.40s 0.89s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   22 (   1 unt;  11 typ;   0 def)
%            Number of atoms       :   29 (   7 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   82 (   6   ~;   3   |;  10   &;  62   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   7 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  10   ^;   6   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_real_type,type,
    set_real: $tType ).

thf(real_type,type,
    real: $tType ).

thf(poly_real_type,type,
    poly_real: $tType ).

thf(poly_real2_type,type,
    poly_real2: poly_real > real > real ).

thf(collect_real_type,type,
    collect_real: ( real > $o ) > set_real ).

thf(b_type,type,
    b: real ).

thf(a_type,type,
    a: real ).

thf(finite_finite_real_type,type,
    finite_finite_real: set_real > $o ).

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

thf(zero_zero_real_type,type,
    zero_zero_real: real ).

thf(p_type,type,
    p: poly_real ).

thf(fact_11_finite__Collect__conjI,axiom,
    ! [P: real > $o,Q: real > $o] :
      ( ( ( finite_finite_real @ ( collect_real @ P ) )
        | ( finite_finite_real @ ( collect_real @ Q ) ) )
     => ( finite_finite_real
        @ ( collect_real
          @ ^ [X: real] :
              ( ( Q @ X )
              & ( P @ X ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: real > $o,X1: real > $o] :
      ( ( finite_finite_real
        @ ( collect_real
          @ ^ [Y0: real] :
              ( ( X0 @ Y0 )
              & ( X1 @ Y0 ) ) ) )
      | ~ ( finite_finite_real @ ( collect_real @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_11_finite__Collect__conjI]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: real > $o,X1: real > $o] :
      ( ( finite_finite_real
        @ ( collect_real
          @ ^ [Y0: real] :
              ( ( X0 @ Y0 )
              & ( X1 @ Y0 ) ) ) )
      | ~ ( finite_finite_real @ ( collect_real @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_11_finite__Collect__conjI]) ).

thf(conj_0,conjecture,
    ( finite_finite_real
    @ ( collect_real
      @ ^ [X: real] :
          ( ( ord_less_real @ X @ b )
          & ( ord_less_real @ a @ X )
          & ( ( poly_real2 @ p @ X )
            = zero_zero_real ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( finite_finite_real
      @ ( collect_real
        @ ^ [X: real] :
            ( ( ord_less_real @ X @ b )
            & ( ord_less_real @ a @ X )
            & ( ( poly_real2 @ p @ X )
              = zero_zero_real ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl177,plain,
    ~ ( finite_finite_real
      @ ( collect_real
        @ ^ [Y0: real] :
            ( ( ord_less_real @ Y0 @ b )
            & ( ord_less_real @ a @ Y0 )
            & ( ( poly_real2 @ p @ Y0 )
              = zero_zero_real ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ~ ( finite_finite_real
      @ ( collect_real
        @ ^ [Y0: real] :
            ( ( ord_less_real @ a @ Y0 )
            & ( ( poly_real2 @ p @ Y0 )
              = zero_zero_real ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl177]) ).

thf(zip_derived_cl347,plain,
    ~ ( finite_finite_real
      @ ( collect_real
        @ ^ [Y0: real] :
            ( ( poly_real2 @ p @ Y0 )
            = zero_zero_real ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl335]) ).

thf(fact_0__092_060open_062finite_A_123x_O_Apoly_Ap_Ax_A_061_A0_125_092_060close_062,axiom,
    ( finite_finite_real
    @ ( collect_real
      @ ^ [X: real] :
          ( ( poly_real2 @ p @ X )
          = zero_zero_real ) ) ) ).

thf(zip_derived_cl0,plain,
    ( finite_finite_real
    @ ( collect_real
      @ ^ [Y0: real] :
          ( ( poly_real2 @ p @ Y0 )
          = zero_zero_real ) ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062finite_A_123x_O_Apoly_Ap_Ax_A_061_A0_125_092_060close_062]) ).

thf(zip_derived_cl348,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP193^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4fSMTGkXr1 true
% 0.13/0.34  % Computer : n006.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 15:15:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.20/0.65  % Total configuration time : 828
% 0.20/0.65  % Estimated wc time : 1656
% 0.20/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.03/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.03/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.03/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.40/0.87  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.40/0.89  % Solved by lams/40_c_ic.sh.
% 1.40/0.89  % done 68 iterations in 0.132s
% 1.40/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/0.89  % SZS output start Refutation
% See solution above
% 1.40/0.89  
% 1.40/0.89  
% 1.40/0.89  % Terminating...
% 1.74/0.95  % Runner terminated.
% 1.74/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------