TSTP Solution File: ITP129^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP129^1 : 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.aeHLuSnIwU true

% Computer : n024.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 05:22:21 EDT 2023

% Result   : Theorem 217.50s 31.59s
% Output   : Refutation 217.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   54 (  32 unt;  14 typ;   0 def)
%            Number of atoms       :   48 (  47 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  206 (  10   ~;   4   |;   0   &; 188   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   54 (   0   ^;  54   !;   0   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(int_type,type,
    int: $tType ).

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

thf(divide_divide_int_type,type,
    divide_divide_int: int > int > int ).

thf(one_one_int_type,type,
    one_one_int: int ).

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(times_times_int_type,type,
    times_times_int: int > int > int ).

thf(semiri2019852685at_int_type,type,
    semiri2019852685at_int: nat > int ).

thf(plus_plus_int_type,type,
    plus_plus_int: int > int > int ).

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

thf(plus_plus_nat_type,type,
    plus_plus_nat: nat > nat > nat ).

thf(x_type,type,
    x: int ).

thf(zero_zero_int_type,type,
    zero_zero_int: int ).

thf(pm_type,type,
    pm: nat ).

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

thf(fact_184_div__0,axiom,
    ! [A: int] :
      ( ( divide_divide_int @ zero_zero_int @ A )
      = zero_zero_int ) ).

thf(zip_derived_cl121,plain,
    ! [X0: int] :
      ( ( divide_divide_int @ zero_zero_int @ X0 )
      = zero_zero_int ),
    inference(cnf,[status(esa)],[fact_184_div__0]) ).

thf(fact_288_times__int__code_I2_J,axiom,
    ! [L: int] :
      ( ( times_times_int @ zero_zero_int @ L )
      = zero_zero_int ) ).

thf(zip_derived_cl185,plain,
    ! [X0: int] :
      ( ( times_times_int @ zero_zero_int @ X0 )
      = zero_zero_int ),
    inference(cnf,[status(esa)],[fact_288_times__int__code_I2_J]) ).

thf(fact_289_times__int__code_I1_J,axiom,
    ! [K: int] :
      ( ( times_times_int @ K @ zero_zero_int )
      = zero_zero_int ) ).

thf(zip_derived_cl186,plain,
    ! [X0: int] :
      ( ( times_times_int @ X0 @ zero_zero_int )
      = zero_zero_int ),
    inference(cnf,[status(esa)],[fact_289_times__int__code_I1_J]) ).

thf(fact_221_nonzero__mult__div__cancel__left,axiom,
    ! [A: int,B: int] :
      ( ( A != zero_zero_int )
     => ( ( divide_divide_int @ ( times_times_int @ A @ B ) @ A )
        = B ) ) ).

thf(zip_derived_cl142,plain,
    ! [X0: int,X1: int] :
      ( ( X0 = zero_zero_int )
      | ( ( divide_divide_int @ ( times_times_int @ X0 @ X1 ) @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[fact_221_nonzero__mult__div__cancel__left]) ).

thf(fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062,axiom,
    ! [N: int] :
      ( ( plus_plus_int @ x @ ( times_times_int @ x @ N ) )
      = ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ N ) ) ) ).

thf(zip_derived_cl80,plain,
    ! [X0: int] :
      ( ( plus_plus_int @ x @ ( times_times_int @ x @ X0 ) )
      = ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062]) ).

thf(fact_267_power__not__zero,axiom,
    ! [A: int,N: nat] :
      ( ( A != zero_zero_int )
     => ( ( power_power_int @ A @ N )
       != zero_zero_int ) ) ).

thf(zip_derived_cl167,plain,
    ! [X0: int,X1: nat] :
      ( ( X0 = zero_zero_int )
      | ( ( power_power_int @ X0 @ X1 )
       != zero_zero_int ) ),
    inference(cnf,[status(esa)],[fact_267_power__not__zero]) ).

thf(fact_82_add_Oassoc,axiom,
    ! [A: int,B: int,C: int] :
      ( ( plus_plus_int @ ( plus_plus_int @ A @ B ) @ C )
      = ( plus_plus_int @ A @ ( plus_plus_int @ B @ C ) ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: int,X1: int,X2: int] :
      ( ( plus_plus_int @ ( plus_plus_int @ X0 @ X1 ) @ X2 )
      = ( plus_plus_int @ X0 @ ( plus_plus_int @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_82_add_Oassoc]) ).

thf(fact_52_int__ops_I5_J,axiom,
    ! [A: nat,B: nat] :
      ( ( semiri2019852685at_int @ ( plus_plus_nat @ A @ B ) )
      = ( plus_plus_int @ ( semiri2019852685at_int @ A ) @ ( semiri2019852685at_int @ B ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: nat,X1: nat] :
      ( ( semiri2019852685at_int @ ( plus_plus_nat @ X0 @ X1 ) )
      = ( plus_plus_int @ ( semiri2019852685at_int @ X0 ) @ ( semiri2019852685at_int @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_52_int__ops_I5_J]) ).

thf(fact_70_mult_Ocommute,axiom,
    ! [A3: int,B2: int] :
      ( ( times_times_int @ A3 @ B2 )
      = ( times_times_int @ B2 @ A3 ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: int,X1: int] :
      ( ( times_times_int @ X1 @ X0 )
      = ( times_times_int @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_70_mult_Ocommute]) ).

thf(fact_223_nonzero__mult__div__cancel__right,axiom,
    ! [B: int,A: int] :
      ( ( B != zero_zero_int )
     => ( ( divide_divide_int @ ( times_times_int @ A @ B ) @ B )
        = A ) ) ).

thf(zip_derived_cl143,plain,
    ! [X0: int,X1: int] :
      ( ( X0 = zero_zero_int )
      | ( ( divide_divide_int @ ( times_times_int @ X1 @ X0 ) @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[fact_223_nonzero__mult__div__cancel__right]) ).

thf(fact_280_Zero__not__Suc,axiom,
    ! [M: nat] :
      ( zero_zero_nat
     != ( suc @ M ) ) ).

thf(zip_derived_cl180,plain,
    ! [X0: nat] :
      ( zero_zero_nat
     != ( suc @ X0 ) ),
    inference(cnf,[status(esa)],[fact_280_Zero__not__Suc]) ).

thf(fact_13_power__Suc,axiom,
    ! [A: int,N: nat] :
      ( ( power_power_int @ A @ ( suc @ N ) )
      = ( times_times_int @ A @ ( power_power_int @ A @ N ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: int,X1: nat] :
      ( ( power_power_int @ X0 @ ( suc @ X1 ) )
      = ( times_times_int @ X0 @ ( power_power_int @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_13_power__Suc]) ).

thf(fact_243_int__ops_I1_J,axiom,
    ( ( semiri2019852685at_int @ zero_zero_nat )
    = zero_zero_int ) ).

thf(zip_derived_cl150,plain,
    ( ( semiri2019852685at_int @ zero_zero_nat )
    = zero_zero_int ),
    inference(cnf,[status(esa)],[fact_243_int__ops_I1_J]) ).

thf(fact_135_int__ops_I4_J,axiom,
    ! [A: nat] :
      ( ( semiri2019852685at_int @ ( suc @ A ) )
      = ( plus_plus_int @ ( semiri2019852685at_int @ A ) @ one_one_int ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: nat] :
      ( ( semiri2019852685at_int @ ( suc @ X0 ) )
      = ( plus_plus_int @ ( semiri2019852685at_int @ X0 ) @ one_one_int ) ),
    inference(cnf,[status(esa)],[fact_135_int__ops_I4_J]) ).

thf(fact_96_int__int__eq,axiom,
    ! [M: nat,N: nat] :
      ( ( ( semiri2019852685at_int @ M )
        = ( semiri2019852685at_int @ N ) )
    <=> ( M = N ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: nat,X1: nat] :
      ( ( X1 = X0 )
      | ( ( semiri2019852685at_int @ X1 )
       != ( semiri2019852685at_int @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_96_int__int__eq]) ).

thf(fact_86_add_Ocommute,axiom,
    ! [A3: int,B2: int] :
      ( ( plus_plus_int @ A3 @ B2 )
      = ( plus_plus_int @ B2 @ A3 ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: int,X1: int] :
      ( ( plus_plus_int @ X1 @ X0 )
      = ( plus_plus_int @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_86_add_Ocommute]) ).

thf(conj_0,conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
    = x ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
   != x ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl207,plain,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
   != x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_291_plus__int__code_I1_J,axiom,
    ! [K: int] :
      ( ( plus_plus_int @ K @ zero_zero_int )
      = K ) ).

thf(zip_derived_cl188,plain,
    ! [X0: int] :
      ( ( plus_plus_int @ X0 @ zero_zero_int )
      = X0 ),
    inference(cnf,[status(esa)],[fact_291_plus__int__code_I1_J]) ).

thf(fact_124_of__nat__Suc,axiom,
    ! [M: nat] :
      ( ( semiri2019852685at_int @ ( suc @ M ) )
      = ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ M ) ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: nat] :
      ( ( semiri2019852685at_int @ ( suc @ X0 ) )
      = ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_124_of__nat__Suc]) ).

thf(zip_derived_cl29918,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl121,zip_derived_cl185,zip_derived_cl186,zip_derived_cl142,zip_derived_cl80,zip_derived_cl167,zip_derived_cl58,zip_derived_cl39,zip_derived_cl52,zip_derived_cl143,zip_derived_cl180,zip_derived_cl9,zip_derived_cl150,zip_derived_cl91,zip_derived_cl69,zip_derived_cl63,zip_derived_cl207,zip_derived_cl188,zip_derived_cl88]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP129^1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aeHLuSnIwU true
% 0.13/0.34  % Computer : n024.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 : Sun Aug 27 16:18:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.53/0.63  % Total configuration time : 828
% 0.53/0.63  % Estimated wc time : 1656
% 0.53/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.90  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 211.81/30.80  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 217.50/31.59  % Solved by lams/40_c_ic.sh.
% 217.50/31.59  % done 1796 iterations in 30.834s
% 217.50/31.59  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 217.50/31.59  % SZS output start Refutation
% See solution above
% 217.50/31.59  
% 217.50/31.59  
% 217.50/31.59  % Terminating...
% 217.78/31.74  % Runner terminated.
% 217.78/31.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------