TSTP Solution File: ITP072^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP072^1 : 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.jlElJBfmA7 true

% Computer : n026.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 05:22:00 EDT 2023

% Result   : Theorem 1.18s 0.81s
% Output   : Refutation 1.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   36 (  14 unt;   9 typ;   0 def)
%            Number of atoms       :   43 (  23 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   87 (  15   ~;  12   |;   0   &;  56   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hF_Mirabelle_hf_type,type,
    hF_Mirabelle_hf: $tType ).

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

thf(hF_Mirabelle_Abs_hf_type,type,
    hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).

thf(z_type,type,
    z: hF_Mirabelle_hf ).

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(sk__1_type,type,
    sk__1: hF_Mirabelle_hf ).

thf(hF_Mirabelle_hmem_type,type,
    hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).

thf(zero_z189798548lle_hf_type,type,
    zero_z189798548lle_hf: hF_Mirabelle_hf ).

thf(sk__type,type,
    sk_: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(conj_0,conjecture,
    ( ( z = zero_z189798548lle_hf )
  <=> ! [X: hF_Mirabelle_hf] :
        ~ ( hF_Mirabelle_hmem @ X @ z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( z = zero_z189798548lle_hf )
    <=> ! [X: hF_Mirabelle_hf] :
          ~ ( hF_Mirabelle_hmem @ X @ z ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl10,plain,
    ( ( hF_Mirabelle_hmem @ sk__1 @ z )
    | ( z != zero_z189798548lle_hf ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_8_Abs__hf__0,axiom,
    ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
    = zero_z189798548lle_hf ) ).

thf(zip_derived_cl8,plain,
    ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
    = zero_z189798548lle_hf ),
    inference(cnf,[status(esa)],[fact_8_Abs__hf__0]) ).

thf(zip_derived_cl11,plain,
    ( ( hF_Mirabelle_hmem @ sk__1 @ z )
    | ( z
     != ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).

thf(zip_derived_cl8_001,plain,
    ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
    = zero_z189798548lle_hf ),
    inference(cnf,[status(esa)],[fact_8_Abs__hf__0]) ).

thf(fact_0_hf__ext,axiom,
    ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
      ( ( A = B )
    <=> ! [X: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X @ A )
        <=> ( hF_Mirabelle_hmem @ X @ B ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( X1 = X0 )
      | ( hF_Mirabelle_hmem @ ( sk_ @ X0 @ X1 ) @ X0 )
      | ( hF_Mirabelle_hmem @ ( sk_ @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_0_hf__ext]) ).

thf(zip_derived_cl9,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ~ ( hF_Mirabelle_hmem @ X0 @ z )
      | ( z = zero_z189798548lle_hf ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ ( sk_ @ X0 @ z ) @ X0 )
      | ( z = X0 )
      | ( z = zero_z189798548lle_hf ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(fact_1_hemptyE,axiom,
    ! [A2: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ A2 @ zero_z189798548lle_hf ) ).

thf(zip_derived_cl4,plain,
    ! [X0: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf ),
    inference(cnf,[status(esa)],[fact_1_hemptyE]) ).

thf(zip_derived_cl8_002,plain,
    ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
    = zero_z189798548lle_hf ),
    inference(cnf,[status(esa)],[fact_8_Abs__hf__0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl72,plain,
    ( ( z = zero_z189798548lle_hf )
    | ( z
      = ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl14]) ).

thf(zip_derived_cl11_003,plain,
    ( ( hF_Mirabelle_hmem @ sk__1 @ z )
    | ( z
     != ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).

thf(zip_derived_cl9_004,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ~ ( hF_Mirabelle_hmem @ X0 @ z )
      | ( z = zero_z189798548lle_hf ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ( ( z
     != ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) )
    | ( z = zero_z189798548lle_hf ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl9]) ).

thf(zip_derived_cl81,plain,
    z = zero_z189798548lle_hf,
    inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl16]) ).

thf(zip_derived_cl82,plain,
    ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
    = z ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl81]) ).

thf(zip_derived_cl83,plain,
    ( ( hF_Mirabelle_hmem @ sk__1 @ z )
    | ( z != z ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl82]) ).

thf(zip_derived_cl84,plain,
    hF_Mirabelle_hmem @ sk__1 @ z,
    inference(simplify,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl14_005,plain,
    ! [X0: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X0 @ ( hF_Mirabelle_Abs_hf @ zero_zero_nat ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl82_006,plain,
    ( ( hF_Mirabelle_Abs_hf @ zero_zero_nat )
    = z ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl81]) ).

thf(zip_derived_cl85,plain,
    ! [X0: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X0 @ z ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl82]) ).

thf(zip_derived_cl90,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP072^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jlElJBfmA7 true
% 0.14/0.35  % Computer : n026.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 16:26:19 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 HO mode
% 0.21/0.64  % Total configuration time : 828
% 0.21/0.64  % Estimated wc time : 1656
% 0.21/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.18/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.18/0.81  % Solved by lams/40_c_ic.sh.
% 1.18/0.81  % done 17 iterations in 0.040s
% 1.18/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.18/0.81  % SZS output start Refutation
% See solution above
% 1.18/0.81  
% 1.18/0.81  
% 1.18/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.18/0.81  % Terminating...
% 1.48/0.94  % Runner terminated.
% 1.48/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------