TSTP Solution File: ITP232_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP232_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.evsPVGDUfl true

% Computer : n017.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 05:23:22 EDT 2023

% Result   : Theorem 30.43s 4.96s
% Output   : Refutation 30.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   38 (  12 unt;  24 typ;   0 def)
%            Number of atoms       :   16 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  106 (   7   ~;   1   |;   0   &;  97   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :   10 (   9 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^;   4   !;   3   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

thf(fun_VEBT_VEBT_bool_type,type,
    fun_VEBT_VEBT_bool: $tType ).

thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

thf(list_VEBT_VEBT_type,type,
    list_VEBT_VEBT: $tType ).

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

thf(fun_nat_nat_type,type,
    fun_nat_nat: $tType ).

thf(fun_nat_fun_nat_nat_type,type,
    fun_nat_fun_nat_nat: $tType ).

thf(fun_nat_bool_type,type,
    fun_nat_bool: $tType ).

thf(fun_VE3763956218935105199t_bool_type,type,
    fun_VE3763956218935105199t_bool: $tType ).

thf(pp_type,type,
    pp: bool > $o ).

thf(sk__type,type,
    sk_: vEBT_VEBT > nat ).

thf(aa_nat_nat_type,type,
    aa_nat_nat: fun_nat_nat > nat > nat ).

thf(vEBT_VEBT_high_type,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

thf(aa_nat_fun_nat_nat_type,type,
    aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).

thf(vEBT_V8194947554948674370ptions_type,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

thf(m_type,type,
    m: nat ).

thf(na_type,type,
    na: nat ).

thf(aa_VEB4832260192069861672t_bool_type,type,
    aa_VEB4832260192069861672t_bool: fun_VE3763956218935105199t_bool > vEBT_VEBT > fun_nat_bool ).

thf(aa_VEBT_VEBT_bool_type,type,
    aa_VEBT_VEBT_bool: fun_VEBT_VEBT_bool > vEBT_VEBT > bool ).

thf(mi_type,type,
    mi: nat ).

thf(vEBT_VEBT_minNull_type,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_bool ).

thf(nth_VEBT_VEBT_type,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(aa_nat_bool_type,type,
    aa_nat_bool: fun_nat_bool > nat > bool ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(fact_1_False,axiom,
    ~ ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ~ ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) ),
    inference(cnf,[status(esa)],[fact_1_False]) ).

thf(fact_3__C8_C,axiom,
    na = m ).

thf(zip_derived_cl3,plain,
    na = m,
    inference(cnf,[status(esa)],[fact_3__C8_C]) ).

thf(zip_derived_cl7050,plain,
    ~ ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ m ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).

thf(conj_0,conjecture,
    ? [Y3: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) @ Y3 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y3: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) @ Y3 ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl2441,plain,
    ! [X0: nat] :
      ~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ na ) ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_001,plain,
    na = m,
    inference(cnf,[status(esa)],[fact_3__C8_C]) ).

thf(zip_derived_cl7051,plain,
    ! [X0: nat] :
      ~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ m ) ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2441,zip_derived_cl3]) ).

thf(fact_0_not__min__Null__member,axiom,
    ! [T: vEBT_VEBT] :
      ( ~ ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ T ) )
     => ? [X_1: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ T ) @ X_1 ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: vEBT_VEBT] :
      ( ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ X0 ) @ ( sk_ @ X0 ) ) )
      | ( pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_0_not__min__Null__member]) ).

thf(zip_derived_cl7052,plain,
    pp @ ( aa_VEBT_VEBT_bool @ vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ mi ) @ m ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7051,zip_derived_cl0]) ).

thf(zip_derived_cl10945,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7050,zip_derived_cl7052]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.15  % Problem  : ITP232_1 : TPTP v8.1.2. Released v8.0.0.
% 0.11/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.evsPVGDUfl true
% 0.13/0.37  % Computer : n017.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Sun Aug 27 13:27:12 EDT 2023
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  % Running portfolio for 300 s
% 0.13/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  % Number of cores: 8
% 0.20/0.38  % Python version: Python 3.6.8
% 0.20/0.38  % Running in FO mode
% 0.21/0.69  % Total configuration time : 435
% 0.21/0.69  % Estimated wc time : 1092
% 0.21/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 30.43/4.96  % Solved by fo/fo3_bce.sh.
% 30.43/4.96  % BCE start: 2442
% 30.43/4.96  % BCE eliminated: 6
% 30.43/4.96  % PE start: 2436
% 30.43/4.96  logic: eq
% 30.43/4.96  % PE eliminated: -4
% 30.43/4.96  % done 1012 iterations in 4.155s
% 30.43/4.96  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.43/4.96  % SZS output start Refutation
% See solution above
% 30.43/4.96  
% 30.43/4.96  
% 30.43/4.96  % Terminating...
% 30.82/5.05  % Runner terminated.
% 30.82/5.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------