TSTP Solution File: ITP130^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP130^1 : 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.9srTmKQgM5 true

% Computer : n012.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 05:22:22 EDT 2023

% Result   : Theorem 1.36s 0.83s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   25 (  10 unt;  13 typ;   0 def)
%            Number of atoms       :   14 (   2 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   68 (   5   ~;   1   |;   0   &;  61   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

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

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

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

thf(na_type,type,
    na: int ).

thf(suc_type,type,
    suc: nat > nat ).

thf(power_power_int_type,type,
    power_power_int: int > nat > int ).

thf(p_type,type,
    p: nat ).

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

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

thf(ya_type,type,
    ya: int ).

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

thf(pm_type,type,
    pm: nat ).

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

thf(fact_3_of__int__power__less__of__int__cancel__iff,axiom,
    ! [X: int,B: int,W: nat] :
      ( ( ord_less_real @ ( ring_1_of_int_real @ X ) @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) )
    <=> ( ord_less_int @ X @ ( power_power_int @ B @ W ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: int,X1: int,X2: nat] :
      ( ( ord_less_real @ ( ring_1_of_int_real @ X0 ) @ ( power_power_real @ ( ring_1_of_int_real @ X1 ) @ X2 ) )
      | ~ ( ord_less_int @ X0 @ ( power_power_int @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_3_of__int__power__less__of__int__cancel__iff]) ).

thf(conj_0,conjecture,
    ord_less_real @ ( ring_1_of_int_real @ na ) @ ( power_power_real @ ( ring_1_of_int_real @ ya ) @ ( suc @ pm ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_real @ ( ring_1_of_int_real @ na ) @ ( power_power_real @ ( ring_1_of_int_real @ ya ) @ ( suc @ pm ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl453,plain,
    ~ ( ord_less_real @ ( ring_1_of_int_real @ na ) @ ( power_power_real @ ( ring_1_of_int_real @ ya ) @ ( suc @ pm ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_86_p,axiom,
    ( p
    = ( suc @ pm ) ) ).

thf(zip_derived_cl143,plain,
    ( p
    = ( suc @ pm ) ),
    inference(cnf,[status(esa)],[fact_86_p]) ).

thf(zip_derived_cl486,plain,
    ~ ( ord_less_real @ ( ring_1_of_int_real @ na ) @ ( power_power_real @ ( ring_1_of_int_real @ ya ) @ p ) ),
    inference(demod,[status(thm)],[zip_derived_cl453,zip_derived_cl143]) ).

thf(zip_derived_cl580,plain,
    ~ ( ord_less_int @ na @ ( power_power_int @ ya @ p ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl486]) ).

thf(fact_81_yyn,axiom,
    ord_less_int @ na @ ( power_power_int @ ya @ p ) ).

thf(zip_derived_cl138,plain,
    ord_less_int @ na @ ( power_power_int @ ya @ p ),
    inference(cnf,[status(esa)],[fact_81_yyn]) ).

thf(zip_derived_cl620,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl580,zip_derived_cl138]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP130^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9srTmKQgM5 true
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 11:08:10 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.36/0.83  % Solved by lams/40_c.s.sh.
% 1.36/0.83  % done 109 iterations in 0.106s
% 1.36/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.83  % SZS output start Refutation
% See solution above
% 1.36/0.83  
% 1.36/0.83  
% 1.36/0.83  % Terminating...
% 1.36/0.86  % Runner terminated.
% 1.36/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------