TSTP Solution File: ITP146^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP146^1 : 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.fd2KZQozto true

% Computer : n013.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 05:22:28 EDT 2023

% Result   : Theorem 27.32s 4.23s
% Output   : Refutation 27.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   42 (  16 unt;  18 typ;   0 def)
%            Number of atoms       :   42 (  17 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  238 (   2   ~;   0   |;   0   &; 218   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   8 con; 0-4 aty)
%                                         (  12  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   24 (  12   ^;  12   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

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

thf(real_type,type,
    real: $tType ).

thf(set_real_type,type,
    set_real: $tType ).

thf(zero_zero_real_type,type,
    zero_zero_real: real ).

thf(f_type,type,
    f: a > a ).

thf(auto_l612940ivl0_a_type,type,
    auto_l612940ivl0_a: ( a > a ) > set_a > a > set_real ).

thf(ss_type,type,
    ss: real ).

thf(uminus_uminus_real_type,type,
    uminus_uminus_real: real > real ).

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

thf(minus_minus_real_type,type,
    minus_minus_real: real > real > real ).

thf(xx_type,type,
    xx: a ).

thf(auto_ll_on_flow0_a_type,type,
    auto_ll_on_flow0_a: ( a > a ) > set_a > a > real > a ).

thf(uminus_uminus_a_a_type,type,
    uminus_uminus_a_a: ( a > a ) > a > a ).

thf(tt_type,type,
    tt: real ).

thf(x_type,type,
    x: set_a ).

thf(member_real_type,type,
    member_real: real > set_real > $o ).

thf(x2_type,type,
    x2: a ).

thf(conj_0,conjecture,
    ( xx
    = ( auto_ll_on_flow0_a @ f @ x @ x2 @ ( minus_minus_real @ ss @ tt ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( xx
   != ( auto_ll_on_flow0_a @ f @ x @ x2 @ ( minus_minus_real @ ss @ tt ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl342,plain,
    ( xx
   != ( auto_ll_on_flow0_a @ f @ x @ x2 @ ( minus_minus_real @ ss @ tt ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_4_tt__ex,axiom,
    member_real @ tt @ ( auto_l612940ivl0_a @ f @ x @ xx ) ).

thf(zip_derived_cl4,plain,
    member_real @ tt @ ( auto_l612940ivl0_a @ f @ x @ xx ),
    inference(cnf,[status(esa)],[fact_4_tt__ex]) ).

thf(fact_2_eq,axiom,
    ( ( auto_ll_on_flow0_a @ f @ x @ xx @ tt )
    = ( auto_ll_on_flow0_a @ f @ x @ x2 @ ss ) ) ).

thf(zip_derived_cl2,plain,
    ( ( auto_ll_on_flow0_a @ f @ x @ xx @ tt )
    = ( auto_ll_on_flow0_a @ f @ x @ x2 @ ss ) ),
    inference(cnf,[status(esa)],[fact_2_eq]) ).

thf(fact_7_neg__tt__ex,axiom,
    member_real @ ( uminus_uminus_real @ tt ) @ ( auto_l612940ivl0_a @ f @ x @ ( auto_ll_on_flow0_a @ f @ x @ xx @ tt ) ) ).

thf(zip_derived_cl7,plain,
    member_real @ ( uminus_uminus_real @ tt ) @ ( auto_l612940ivl0_a @ f @ x @ ( auto_ll_on_flow0_a @ f @ x @ xx @ tt ) ),
    inference(cnf,[status(esa)],[fact_7_neg__tt__ex]) ).

thf(fact_5_ss__ex,axiom,
    member_real @ ss @ ( auto_l612940ivl0_a @ f @ x @ x2 ) ).

thf(zip_derived_cl5,plain,
    member_real @ ss @ ( auto_l612940ivl0_a @ f @ x @ x2 ),
    inference(cnf,[status(esa)],[fact_5_ss__ex]) ).

thf(fact_303_add_Ocomm__neutral,axiom,
    ! [A: real] :
      ( ( plus_plus_real @ A @ zero_zero_real )
      = A ) ).

thf(zip_derived_cl303,plain,
    ( !!
    @ ^ [Y0: real] :
        ( ( plus_plus_real @ Y0 @ zero_zero_real )
        = Y0 ) ),
    inference(cnf,[status(esa)],[fact_303_add_Ocomm__neutral]) ).

thf(fact_335_add__diff__eq,axiom,
    ! [A: real,B: real,C: real] :
      ( ( plus_plus_real @ A @ ( minus_minus_real @ B @ C ) )
      = ( minus_minus_real @ ( plus_plus_real @ A @ B ) @ C ) ) ).

thf(zip_derived_cl335,plain,
    ( !!
    @ ^ [Y0: real] :
        ( !!
        @ ^ [Y1: real] :
            ( !!
            @ ^ [Y2: real] :
                ( ( plus_plus_real @ Y0 @ ( minus_minus_real @ Y1 @ Y2 ) )
                = ( minus_minus_real @ ( plus_plus_real @ Y0 @ Y1 ) @ Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_335_add__diff__eq]) ).

thf(fact_159_local_Oflow__trans,axiom,
    ! [S: real,X0: a,T: real] :
      ( ( member_real @ S @ ( auto_l612940ivl0_a @ f @ x @ X0 ) )
     => ( ( member_real @ T @ ( auto_l612940ivl0_a @ f @ x @ ( auto_ll_on_flow0_a @ f @ x @ X0 @ S ) ) )
       => ( ( auto_ll_on_flow0_a @ f @ x @ X0 @ ( plus_plus_real @ S @ T ) )
          = ( auto_ll_on_flow0_a @ f @ x @ ( auto_ll_on_flow0_a @ f @ x @ X0 @ S ) @ T ) ) ) ) ).

thf(zip_derived_cl159,plain,
    ( !!
    @ ^ [Y0: real] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: real] :
                ( ( member_real @ Y0 @ ( auto_l612940ivl0_a @ f @ x @ Y1 ) )
               => ( ( member_real @ Y2 @ ( auto_l612940ivl0_a @ f @ x @ ( auto_ll_on_flow0_a @ f @ x @ Y1 @ Y0 ) ) )
                 => ( ( auto_ll_on_flow0_a @ f @ x @ Y1 @ ( plus_plus_real @ Y0 @ Y2 ) )
                    = ( auto_ll_on_flow0_a @ f @ x @ ( auto_ll_on_flow0_a @ f @ x @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_159_local_Oflow__trans]) ).

thf(fact_33_local_Oflows__reverse,axiom,
    ! [T: real,X0: a] :
      ( ( member_real @ T @ ( auto_l612940ivl0_a @ f @ x @ X0 ) )
     => ( ( auto_ll_on_flow0_a @ f @ x @ ( auto_ll_on_flow0_a @ f @ x @ X0 @ T ) @ ( minus_minus_real @ zero_zero_real @ T ) )
        = X0 ) ) ).

thf(zip_derived_cl33,plain,
    ( !!
    @ ^ [Y0: real] :
        ( !!
        @ ^ [Y1: a] :
            ( ( member_real @ Y0 @ ( auto_l612940ivl0_a @ f @ x @ Y1 ) )
           => ( ( auto_ll_on_flow0_a @ f @ x @ ( auto_ll_on_flow0_a @ f @ x @ Y1 @ Y0 ) @ ( minus_minus_real @ zero_zero_real @ Y0 ) )
              = Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_33_local_Oflows__reverse]) ).

thf(fact_31_verit__minus__simplify_I3_J,axiom,
    ! [B: real] :
      ( ( minus_minus_real @ zero_zero_real @ B )
      = ( uminus_uminus_real @ B ) ) ).

thf(zip_derived_cl31,plain,
    ( !!
    @ ^ [Y0: real] :
        ( ( minus_minus_real @ zero_zero_real @ Y0 )
        = ( uminus_uminus_real @ Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_31_verit__minus__simplify_I3_J]) ).

thf(fact_57_rev__eq__flow,axiom,
    ! [Y: a,T: real] :
      ( ( auto_ll_on_flow0_a @ ( uminus_uminus_a_a @ f ) @ x @ Y @ T )
      = ( auto_ll_on_flow0_a @ f @ x @ Y @ ( uminus_uminus_real @ T ) ) ) ).

thf(zip_derived_cl57,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: real] :
            ( ( auto_ll_on_flow0_a @ ( uminus_uminus_a_a @ f ) @ x @ Y0 @ Y1 )
            = ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( uminus_uminus_real @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_57_rev__eq__flow]) ).

thf(zip_derived_cl4180,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl342,zip_derived_cl4,zip_derived_cl2,zip_derived_cl7,zip_derived_cl5,zip_derived_cl303,zip_derived_cl335,zip_derived_cl159,zip_derived_cl33,zip_derived_cl31,zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP146^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fd2KZQozto true
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 13:51:17 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/0.85  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 27.32/4.23  % Solved by lams/15_e_short1.sh.
% 27.32/4.23  % done 186 iterations in 3.427s
% 27.32/4.23  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.32/4.23  % SZS output start Refutation
% See solution above
% 27.32/4.23  
% 27.32/4.23  
% 27.32/4.23  % Terminating...
% 27.32/4.30  % Runner terminated.
% 27.32/4.30  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------