TSTP Solution File: ITP156^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP156^1 : 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.6M8KU0EO3K true

% Computer : n031.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 05:22:32 EDT 2023

% Result   : Theorem 0.58s 0.81s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   63 (  35 unt;  17 typ;   0 def)
%            Number of atoms       :   59 (  41 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  219 (  18   ~;   9   |;   1   &; 188   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

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

thf(product_prod_a_a_type,type,
    product_prod_a_a: $tType ).

thf(a_type,type,
    a: $tType ).

thf(set_Product_prod_a_a_type,type,
    set_Product_prod_a_a: $tType ).

thf(x_type,type,
    x: a ).

thf(one_one_real_type,type,
    one_one_real: real ).

thf(u_type,type,
    u: real ).

thf(real_V1035702895aleR_a_type,type,
    real_V1035702895aleR_a: real > a > a ).

thf(relation_type,type,
    relation: set_Product_prod_a_a ).

thf(product_Pair_a_a_type,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(zero_zero_a_type,type,
    zero_zero_a: a ).

thf(member449909584od_a_a_type,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

thf(plus_plus_real_type,type,
    plus_plus_real: real > real > real ).

thf(zero_zero_real_type,type,
    zero_zero_real: real ).

thf(plus_plus_a_type,type,
    plus_plus_a: a > a > a ).

thf(v_type,type,
    v: real ).

thf(y_type,type,
    y: a ).

thf(fact_7_u__0,axiom,
    ( ( u = zero_zero_real )
   => ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation ) ) ).

thf(zip_derived_cl9,plain,
    ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation )
    | ( u != zero_zero_real ) ),
    inference(cnf,[status(esa)],[fact_7_u__0]) ).

thf(zip_derived_cl550,plain,
    ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ zero_zero_real @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation )
    | ( u != zero_zero_real ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl9]) ).

thf(fact_238_scale__zero__left,axiom,
    ! [X: a] :
      ( ( real_V1035702895aleR_a @ zero_zero_real @ X )
      = zero_zero_a ) ).

thf(zip_derived_cl186,plain,
    ! [X0: a] :
      ( ( real_V1035702895aleR_a @ zero_zero_real @ X0 )
      = zero_zero_a ),
    inference(cnf,[status(esa)],[fact_238_scale__zero__left]) ).

thf(fact_9_assms_I5_J,axiom,
    ( ( plus_plus_real @ u @ v )
    = one_one_real ) ).

thf(zip_derived_cl11,plain,
    ( ( plus_plus_real @ u @ v )
    = one_one_real ),
    inference(cnf,[status(esa)],[fact_9_assms_I5_J]) ).

thf(fact_6__092_060open_062u_A_092_060noteq_062_A0_A_092_060and_062_Au_A_092_060noteq_062_A1_A_092_060longrightarrow_062_Au_A_K_092_060_094sub_062R_Ax_A_L_Av_A_K_092_060_094sub_062R_Ay_A_092_060succeq_062_Ay_092_060close_062,axiom,
    ( ( ( u != zero_zero_real )
      & ( u != one_one_real ) )
   => ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation ) ) ).

thf(zip_derived_cl8,plain,
    ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation )
    | ( u = one_one_real )
    | ( u = zero_zero_real ) ),
    inference(cnf,[status(esa)],[fact_6__092_060open_062u_A_092_060noteq_062_A0_A_092_060and_062_Au_A_092_060noteq_062_A1_A_092_060longrightarrow_062_Au_A_K_092_060_094sub_062R_Ax_A_L_Av_A_K_092_060_094sub_062R_Ay_A_092_060succeq_062_Ay_092_060close_062]) ).

thf(zip_derived_cl11_001,plain,
    ( ( plus_plus_real @ u @ v )
    = one_one_real ),
    inference(cnf,[status(esa)],[fact_9_assms_I5_J]) ).

thf(fact_72_add__cancel__right__right,axiom,
    ! [A: real,B: real] :
      ( ( A
        = ( plus_plus_real @ A @ B ) )
    <=> ( B = zero_zero_real ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: real,X1: real] :
      ( ( X0 = zero_zero_real )
      | ( X1
       != ( plus_plus_real @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_72_add__cancel__right__right]) ).

thf(zip_derived_cl394,plain,
    ( ( u != one_one_real )
    | ( v = zero_zero_real ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl44]) ).

thf(conj_0,conjecture,
    member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl369,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl396,plain,
    ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ zero_zero_real @ y ) ) @ y ) @ relation )
    | ( u != one_one_real ) ),
    inference('sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl369]) ).

thf(zip_derived_cl399,plain,
    ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ one_one_real @ x ) @ ( real_V1035702895aleR_a @ zero_zero_real @ y ) ) @ y ) @ relation )
    | ( u != one_one_real ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl396]) ).

thf(fact_241_scaleR__one,axiom,
    ! [X: a] :
      ( ( real_V1035702895aleR_a @ one_one_real @ X )
      = X ) ).

thf(zip_derived_cl193,plain,
    ! [X0: a] :
      ( ( real_V1035702895aleR_a @ one_one_real @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_241_scaleR__one]) ).

thf(zip_derived_cl186_002,plain,
    ! [X0: a] :
      ( ( real_V1035702895aleR_a @ zero_zero_real @ X0 )
      = zero_zero_a ),
    inference(cnf,[status(esa)],[fact_238_scale__zero__left]) ).

thf(fact_96_add_Oright__neutral,axiom,
    ! [A: a] :
      ( ( plus_plus_a @ A @ zero_zero_a )
      = A ) ).

thf(zip_derived_cl69,plain,
    ! [X0: a] :
      ( ( plus_plus_a @ X0 @ zero_zero_a )
      = X0 ),
    inference(cnf,[status(esa)],[fact_96_add_Oright__neutral]) ).

thf(fact_5_assms_I2_J,axiom,
    member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation ).

thf(zip_derived_cl7,plain,
    member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation,
    inference(cnf,[status(esa)],[fact_5_assms_I2_J]) ).

thf(zip_derived_cl448,plain,
    u != one_one_real,
    inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl193,zip_derived_cl186,zip_derived_cl69,zip_derived_cl7]) ).

thf(zip_derived_cl532,plain,
    ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation )
    | ( u = zero_zero_real ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl8,zip_derived_cl448]) ).

thf(zip_derived_cl369_003,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl533,plain,
    u = zero_zero_real,
    inference(clc,[status(thm)],[zip_derived_cl532,zip_derived_cl369]) ).

thf(fact_105_add_Oleft__neutral,axiom,
    ! [A: real] :
      ( ( plus_plus_real @ zero_zero_real @ A )
      = A ) ).

thf(zip_derived_cl73,plain,
    ! [X0: real] :
      ( ( plus_plus_real @ zero_zero_real @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_105_add_Oleft__neutral]) ).

thf(zip_derived_cl534,plain,
    v = one_one_real,
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl533,zip_derived_cl73]) ).

thf(zip_derived_cl193_004,plain,
    ! [X0: a] :
      ( ( real_V1035702895aleR_a @ one_one_real @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_241_scaleR__one]) ).

thf(fact_104_add_Oleft__neutral,axiom,
    ! [A: a] :
      ( ( plus_plus_a @ zero_zero_a @ A )
      = A ) ).

thf(zip_derived_cl72,plain,
    ! [X0: a] :
      ( ( plus_plus_a @ zero_zero_a @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_104_add_Oleft__neutral]) ).

thf(zip_derived_cl369_005,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( plus_plus_a @ ( real_V1035702895aleR_a @ u @ x ) @ ( real_V1035702895aleR_a @ v @ y ) ) @ y ) @ relation ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl533_006,plain,
    u = zero_zero_real,
    inference(clc,[status(thm)],[zip_derived_cl532,zip_derived_cl369]) ).

thf(zip_derived_cl186_007,plain,
    ! [X0: a] :
      ( ( real_V1035702895aleR_a @ zero_zero_real @ X0 )
      = zero_zero_a ),
    inference(cnf,[status(esa)],[fact_238_scale__zero__left]) ).

thf(zip_derived_cl72_008,plain,
    ! [X0: a] :
      ( ( plus_plus_a @ zero_zero_a @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_104_add_Oleft__neutral]) ).

thf(zip_derived_cl536,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( real_V1035702895aleR_a @ v @ y ) @ y ) @ relation ),
    inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl533,zip_derived_cl186,zip_derived_cl72]) ).

thf(zip_derived_cl534_009,plain,
    v = one_one_real,
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl533,zip_derived_cl73]) ).

thf(zip_derived_cl193_010,plain,
    ! [X0: a] :
      ( ( real_V1035702895aleR_a @ one_one_real @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_241_scaleR__one]) ).

thf(zip_derived_cl539,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ y ) @ relation ),
    inference(demod,[status(thm)],[zip_derived_cl536,zip_derived_cl534,zip_derived_cl193]) ).

thf(zip_derived_cl533_011,plain,
    u = zero_zero_real,
    inference(clc,[status(thm)],[zip_derived_cl532,zip_derived_cl369]) ).

thf(zip_derived_cl551,plain,
    zero_zero_real != zero_zero_real,
    inference(demod,[status(thm)],[zip_derived_cl550,zip_derived_cl186,zip_derived_cl534,zip_derived_cl193,zip_derived_cl72,zip_derived_cl539,zip_derived_cl533]) ).

thf(zip_derived_cl552,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl551]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ITP156^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6M8KU0EO3K true
% 0.14/0.35  % Computer : n031.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 : Sun Aug 27 13:11:24 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
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.81  % Solved by lams/40_c.s.sh.
% 0.58/0.81  % done 102 iterations in 0.084s
% 0.58/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.81  % SZS output start Refutation
% See solution above
% 0.58/0.81  
% 0.58/0.81  
% 0.58/0.81  % Terminating...
% 0.58/0.86  % Runner terminated.
% 0.58/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------