TSTP Solution File: ITP092^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP092^1 : 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.wPincmTQ6Z true

% Computer : n007.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 05:22:07 EDT 2023

% Result   : Theorem 1.60s 1.11s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   26 (  11 unt;  13 typ;   0 def)
%            Number of atoms       :   15 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  112 (   8   ~;   1   |;   0   &; 102   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   30 (   0   ^;  30   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(list_P1467822637od_a_a_type,type,
    list_P1467822637od_a_a: $tType ).

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

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

thf(kurato1072996284sing_a_type,type,
    kurato1072996284sing_a: list_P1467822637od_a_a > $o ).

thf(cons_P1921020637od_a_a_type,type,
    cons_P1921020637od_a_a: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).

thf(sk__123_type,type,
    sk__123: list_P1467822637od_a_a ).

thf(es_type,type,
    es: list_P1467822637od_a_a ).

thf(append1574001858od_a_a_type,type,
    append1574001858od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).

thf(sk__125_type,type,
    sk__125: a ).

thf(sk__124_type,type,
    sk__124: a ).

thf(e_type,type,
    e: product_prod_a_a ).

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

thf(sk__126_type,type,
    sk__126: list_P1467822637od_a_a ).

thf(fact_0_assms,axiom,
    kurato1072996284sing_a @ ( cons_P1921020637od_a_a @ e @ es ) ).

thf(zip_derived_cl0,plain,
    kurato1072996284sing_a @ ( cons_P1921020637od_a_a @ e @ es ),
    inference(cnf,[status(esa)],[fact_0_assms]) ).

thf(conj_0,conjecture,
    ! [Xs4: list_P1467822637od_a_a,X4: a,Y4: a,Ys4: list_P1467822637od_a_a] :
      ( es
     != ( append1574001858od_a_a @ Xs4 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X4 @ Y4 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y4 @ X4 ) @ Ys4 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xs4: list_P1467822637od_a_a,X4: a,Y4: a,Ys4: list_P1467822637od_a_a] :
        ( es
       != ( append1574001858od_a_a @ Xs4 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X4 @ Y4 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y4 @ X4 ) @ Ys4 ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl133,plain,
    ( es
    = ( append1574001858od_a_a @ sk__123 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ sk__124 @ sk__125 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ sk__125 @ sk__124 ) @ sk__126 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_46_append__Cons,axiom,
    ! [X3: product_prod_a_a,Xs2: list_P1467822637od_a_a,Ys2: list_P1467822637od_a_a] :
      ( ( append1574001858od_a_a @ ( cons_P1921020637od_a_a @ X3 @ Xs2 ) @ Ys2 )
      = ( cons_P1921020637od_a_a @ X3 @ ( append1574001858od_a_a @ Xs2 @ Ys2 ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: product_prod_a_a,X1: list_P1467822637od_a_a,X2: list_P1467822637od_a_a] :
      ( ( append1574001858od_a_a @ ( cons_P1921020637od_a_a @ X0 @ X1 ) @ X2 )
      = ( cons_P1921020637od_a_a @ X0 @ ( append1574001858od_a_a @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_46_append__Cons]) ).

thf(zip_derived_cl719,plain,
    ! [X0: product_prod_a_a] :
      ( ( append1574001858od_a_a @ ( cons_P1921020637od_a_a @ X0 @ sk__123 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ sk__124 @ sk__125 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ sk__125 @ sk__124 ) @ sk__126 ) ) )
      = ( cons_P1921020637od_a_a @ X0 @ es ) ),
    inference('sup+',[status(thm)],[zip_derived_cl133,zip_derived_cl19]) ).

thf(fact_3_progressing__def,axiom,
    ! [P: list_P1467822637od_a_a] :
      ( ( kurato1072996284sing_a @ P )
    <=> ! [Xs: list_P1467822637od_a_a,X: a,Y: a,Ys: list_P1467822637od_a_a] :
          ( P
         != ( append1574001858od_a_a @ Xs @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X @ Y ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y @ X ) @ Ys ) ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: list_P1467822637od_a_a,X1: a,X2: a,X3: list_P1467822637od_a_a,X4: list_P1467822637od_a_a] :
      ( ( X4
       != ( append1574001858od_a_a @ X0 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X1 ) @ X3 ) ) ) )
      | ~ ( kurato1072996284sing_a @ X4 ) ),
    inference(cnf,[status(esa)],[fact_3_progressing__def]) ).

thf(zip_derived_cl150,plain,
    ! [X0: list_P1467822637od_a_a,X1: a,X2: a,X3: list_P1467822637od_a_a] :
      ~ ( kurato1072996284sing_a @ ( append1574001858od_a_a @ X0 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X1 ) @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl1218,plain,
    ! [X0: product_prod_a_a] :
      ~ ( kurato1072996284sing_a @ ( cons_P1921020637od_a_a @ X0 @ es ) ),
    inference('sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl150]) ).

thf(zip_derived_cl1280,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1218]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ITP092^1 : 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.wPincmTQ6Z true
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 15:10:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.26/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.26/0.90  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.60/1.11  % Solved by lams/40_c.s.sh.
% 1.60/1.11  % done 116 iterations in 0.312s
% 1.60/1.11  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.60/1.11  % SZS output start Refutation
% See solution above
% 1.60/1.11  
% 1.60/1.11  
% 1.60/1.11  % Terminating...
% 1.69/1.26  % Runner terminated.
% 1.69/1.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------