TSTP Solution File: NUM924+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM924+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ChP4g6IbPm 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 Aug 31 12:44:47 EDT 2023

% Result   : Theorem 1.45s 0.89s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   40 (  26 unt;  14 typ;   0 def)
%            Number of atoms       :   26 (  17 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  184 (   4   ~;   0   |;   0   &; 180   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(number_number_of_int_type,type,
    number_number_of_int: $i > $i ).

thf(power_power_int_type,type,
    power_power_int: $i > $i > $i ).

thf(m_type,type,
    m: $i ).

thf(t_type,type,
    t: $i ).

thf(zero_zero_int_type,type,
    zero_zero_int: $i ).

thf(times_times_int_type,type,
    times_times_int: $i > $i > $i ).

thf(number_number_of_nat_type,type,
    number_number_of_nat: $i > $i ).

thf(bit1_type,type,
    bit1: $i > $i ).

thf(bit0_type,type,
    bit0: $i > $i ).

thf(pls_type,type,
    pls: $i ).

thf(s_type,type,
    s: $i ).

thf(plus_plus_int_type,type,
    plus_plus_int: $i > $i > $i ).

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

thf(one_one_int_type,type,
    one_one_int: $i ).

thf(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,axiom,
    ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ) ).

thf(zip_derived_cl19,plain,
    ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ),
    inference(cnf,[status(esa)],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).

thf(fact_170_Pls__def,axiom,
    pls = zero_zero_int ).

thf(zip_derived_cl272,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_170_Pls__def]) ).

thf(fact_132_zadd__commute,axiom,
    ! [Z: $i,W: $i] :
      ( ( plus_plus_int @ Z @ W )
      = ( plus_plus_int @ W @ Z ) ) ).

thf(zip_derived_cl220,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus_plus_int @ X1 @ X0 )
      = ( plus_plus_int @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_132_zadd__commute]) ).

thf(zip_derived_cl272_001,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_170_Pls__def]) ).

thf(zip_derived_cl220_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus_plus_int @ X1 @ X0 )
      = ( plus_plus_int @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_132_zadd__commute]) ).

thf(fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
    ! [A_37: $i] :
      ( ( times_times_int @ A_37 @ zero_zero_int )
      = zero_zero_int ) ).

thf(zip_derived_cl509,plain,
    ! [X0: $i] :
      ( ( times_times_int @ X0 @ zero_zero_int )
      = zero_zero_int ),
    inference(cnf,[status(esa)],[fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).

thf(zip_derived_cl1001,plain,
    ord_less_int @ ( times_times_int @ ( plus_plus_int @ one_one_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) ) @ t ) @ zero_zero_int,
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl272,zip_derived_cl220,zip_derived_cl272,zip_derived_cl220,zip_derived_cl509]) ).

thf(fact_3_t,axiom,
    ( ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int )
    = ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) ) ).

thf(zip_derived_cl20,plain,
    ( ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int )
    = ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) ),
    inference(cnf,[status(esa)],[fact_3_t]) ).

thf(zip_derived_cl272_003,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_170_Pls__def]) ).

thf(zip_derived_cl220_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus_plus_int @ X1 @ X0 )
      = ( plus_plus_int @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_132_zadd__commute]) ).

thf(zip_derived_cl272_005,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_170_Pls__def]) ).

thf(zip_derived_cl220_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus_plus_int @ X1 @ X0 )
      = ( plus_plus_int @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_132_zadd__commute]) ).

thf(zip_derived_cl1007,plain,
    ( ( plus_plus_int @ one_one_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) )
    = ( times_times_int @ ( plus_plus_int @ one_one_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ m ) ) @ t ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl272,zip_derived_cl220,zip_derived_cl272,zip_derived_cl220]) ).

thf(conj_0,conjecture,
    ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ zero_zero_int ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ zero_zero_int ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl954,plain,
    ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ zero_zero_int ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl272_007,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_170_Pls__def]) ).

thf(zip_derived_cl976,plain,
    ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) @ one_one_int ) @ zero_zero_int ),
    inference(demod,[status(thm)],[zip_derived_cl954,zip_derived_cl272]) ).

thf(zip_derived_cl220_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus_plus_int @ X1 @ X0 )
      = ( plus_plus_int @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_132_zadd__commute]) ).

thf(zip_derived_cl999,plain,
    ~ ( ord_less_int @ ( plus_plus_int @ one_one_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) ) ) @ zero_zero_int ),
    inference(demod,[status(thm)],[zip_derived_cl976,zip_derived_cl220]) ).

thf(zip_derived_cl1008,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl1007,zip_derived_cl999]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM924+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ChP4g6IbPm true
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 17:35:24 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.45/0.89  % Solved by fo/fo13.sh.
% 1.45/0.89  % done 0 iterations in 0.120s
% 1.45/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.45/0.89  % SZS output start Refutation
% See solution above
% 1.45/0.89  
% 1.45/0.89  
% 1.45/0.90  % Terminating...
% 2.07/0.97  % Runner terminated.
% 2.07/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------