TSTP Solution File: ITP163^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP163^1 : 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.ciF0qel5ls 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 05:22:35 EDT 2023

% Result   : Theorem 1.24s 0.97s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   25 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   47 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   86 (   4   ~;   0   |;   0   &;  72   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   3 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   20 (   6   ^;  14   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(refine424419629nres_a_type,type,
    refine424419629nres_a: $tType ).

thf(set_a_type,type,
    set_a: $tType ).

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

thf(phi_type,type,
    phi: a > $o ).

thf(refine1198353288_RES_a_type,type,
    refine1198353288_RES_a: set_a > refine424419629nres_a ).

thf(x_type,type,
    x: a ).

thf(refine1312857699nres_a_type,type,
    refine1312857699nres_a: refine424419629nres_a > a > $o ).

thf(collect_a_type,type,
    collect_a: ( a > $o ) > set_a ).

thf(member_a_type,type,
    member_a: a > set_a > $o ).

thf(conj_0,conjecture,
    ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
    = ( phi @ x ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
   != ( phi @ x ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl244,plain,
    ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ x )
   != ( phi @ x ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_2_nf__inres__RES,axiom,
    ! [X: set_a,X3: a] :
      ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ X ) @ X3 )
      = ( member_a @ X3 @ X ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: set_a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ Y0 ) @ Y1 )
            = ( member_a @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_2_nf__inres__RES]) ).

thf(zip_derived_cl283,plain,
    ! [X2: set_a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ X2 ) @ Y0 )
          = ( member_a @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl284,plain,
    ! [X2: set_a,X4: a] :
      ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ X2 ) @ X4 )
      = ( member_a @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl283]) ).

thf(zip_derived_cl285,plain,
    ! [X2: set_a,X4: a] :
      ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ X2 ) @ X4 )
      = ( member_a @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl284]) ).

thf(zip_derived_cl286,plain,
    ( ( member_a @ x @ ( collect_a @ phi ) )
   != ( phi @ x ) ),
    inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl285]) ).

thf(fact_41_mem__Collect__eq,axiom,
    ! [A2: a,P: a > $o] :
      ( ( member_a @ A2 @ ( collect_a @ P ) )
    <=> ( P @ A2 ) ) ).

thf(zip_derived_cl39,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a > $o] :
            ( ( member_a @ Y0 @ ( collect_a @ Y1 ) )
          <=> ( Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_41_mem__Collect__eq]) ).

thf(zip_derived_cl294,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a > $o] :
          ( ( member_a @ X2 @ ( collect_a @ Y0 ) )
        <=> ( Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl295,plain,
    ! [X2: a,X4: a > $o] :
      ( ( member_a @ X2 @ ( collect_a @ X4 ) )
    <=> ( X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl294]) ).

thf(zip_derived_cl296,plain,
    ! [X2: a,X4: a > $o] :
      ( ( member_a @ X2 @ ( collect_a @ X4 ) )
      = ( X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl295]) ).

thf(zip_derived_cl297,plain,
    ( ( phi @ x )
   != ( phi @ x ) ),
    inference(demod,[status(thm)],[zip_derived_cl286,zip_derived_cl296]) ).

thf(zip_derived_cl298,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl297]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : ITP163^1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ciF0qel5ls true
% 0.16/0.37  % Computer : n024.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sun Aug 27 10:31:08 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in HO mode
% 0.23/0.70  % Total configuration time : 828
% 0.23/0.70  % Estimated wc time : 1656
% 0.23/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.15/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.15/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.15/0.80  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.15/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.15/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.15/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.23/0.88  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.24/0.97  % Solved by lams/30_b.l.sh.
% 1.24/0.97  % done 0 iterations in 0.061s
% 1.24/0.97  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.97  % SZS output start Refutation
% See solution above
% 1.24/0.97  
% 1.24/0.97  
% 1.24/0.97  % Terminating...
% 1.24/1.00  % Runner terminated.
% 1.24/1.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------