TSTP Solution File: ITP046^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP046^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.l9pgTT9NFY 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 05:21:49 EDT 2023

% Result   : Theorem 14.36s 2.49s
% Output   : Refutation 14.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   41 (  11 unt;  23 typ;   0 def)
%            Number of atoms       :   31 (  14 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   93 (   8   ~;   2   |;   0   &;  72   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :   10 (   9 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   6 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   22 (   6   ^;  16   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(option1457017436_r_l_v_type,type,
    option1457017436_r_l_v: $tType ).

thf(r_type,type,
    r: $tType ).

thf(produc1156025366_r_l_v_type,type,
    produc1156025366_r_l_v: $tType ).

thf(produc1164766533_r_l_v_type,type,
    produc1164766533_r_l_v: $tType ).

thf(expr_r_l_v_type,type,
    expr_r_l_v: $tType ).

thf(cntxt_r_l_v_type,type,
    cntxt_r_l_v: $tType ).

thf(set_r_type,type,
    set_r: $tType ).

thf(e4_type,type,
    e4: expr_r_l_v ).

thf(some_P1807977723_r_l_v_type,type,
    some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).

thf(produc1834103605_r_l_v_type,type,
    produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).

thf(option_val_r_l_v_type,type,
    option_val_r_l_v: $tType ).

thf(plug_r_l_v_type,type,
    plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).

thf(r3_type,type,
    r3: r ).

thf(tau2_type,type,
    tau2: l > option_val_r_l_v ).

thf(right_forkee_type,type,
    right_forkee: r ).

thf(rID_G_r_l_v_type,type,
    rID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).

thf(e2_type,type,
    e2: cntxt_r_l_v ).

thf(s_1_type,type,
    s_1: r > option1457017436_r_l_v ).

thf(sigma2_type,type,
    sigma2: l > option_val_r_l_v ).

thf(member_r_type,type,
    member_r: r > set_r > $o ).

thf(rfork_r_l_v_type,type,
    rfork_r_l_v: expr_r_l_v > expr_r_l_v ).

thf(l_type,type,
    l: $tType ).

thf(produc297528454_r_l_v_type,type,
    produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).

thf(fact_6_local_Ofork_I2_J,axiom,
    ( ( s_1 @ r3 )
    = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma2 @ ( produc1834103605_r_l_v @ tau2 @ ( plug_r_l_v @ e2 @ ( rfork_r_l_v @ e4 ) ) ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ( ( s_1 @ r3 )
    = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma2 @ ( produc1834103605_r_l_v @ tau2 @ ( plug_r_l_v @ e2 @ ( rfork_r_l_v @ e4 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_6_local_Ofork_I2_J]) ).

thf(fact_24_RID_092_060_094sub_062GI_I1_J,axiom,
    ! [S: r > option1457017436_r_l_v,R: r,V: produc1156025366_r_l_v] :
      ( ( ( S @ R )
        = ( some_P1807977723_r_l_v @ V ) )
     => ( member_r @ R @ ( rID_G_r_l_v @ S ) ) ) ).

thf(zip_derived_cl24,plain,
    ( !!
    @ ^ [Y0: r > option1457017436_r_l_v] :
        ( !!
        @ ^ [Y1: r] :
            ( !!
            @ ^ [Y2: produc1156025366_r_l_v] :
                ( ( ( Y0 @ Y1 )
                  = ( some_P1807977723_r_l_v @ Y2 ) )
               => ( member_r @ Y1 @ ( rID_G_r_l_v @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_24_RID_092_060_094sub_062GI_I1_J]) ).

thf(zip_derived_cl1516,plain,
    ! [X2: r > option1457017436_r_l_v] :
      ( !!
      @ ^ [Y0: r] :
          ( !!
          @ ^ [Y1: produc1156025366_r_l_v] :
              ( ( ( X2 @ Y0 )
                = ( some_P1807977723_r_l_v @ Y1 ) )
             => ( member_r @ Y0 @ ( rID_G_r_l_v @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl1517,plain,
    ! [X2: r > option1457017436_r_l_v,X4: r] :
      ( !!
      @ ^ [Y0: produc1156025366_r_l_v] :
          ( ( ( X2 @ X4 )
            = ( some_P1807977723_r_l_v @ Y0 ) )
         => ( member_r @ X4 @ ( rID_G_r_l_v @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1516]) ).

thf(zip_derived_cl1518,plain,
    ! [X2: r > option1457017436_r_l_v,X4: r,X6: produc1156025366_r_l_v] :
      ( ( ( X2 @ X4 )
        = ( some_P1807977723_r_l_v @ X6 ) )
     => ( member_r @ X4 @ ( rID_G_r_l_v @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1517]) ).

thf(zip_derived_cl1519,plain,
    ! [X2: r > option1457017436_r_l_v,X4: r,X6: produc1156025366_r_l_v] :
      ( ( ( X2 @ X4 )
       != ( some_P1807977723_r_l_v @ X6 ) )
      | ( member_r @ X4 @ ( rID_G_r_l_v @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1518]) ).

thf(zip_derived_cl1520,plain,
    ! [X2: r > option1457017436_r_l_v,X4: r,X6: produc1156025366_r_l_v] :
      ( ( ( X2 @ X4 )
       != ( some_P1807977723_r_l_v @ X6 ) )
      | ( member_r @ X4 @ ( rID_G_r_l_v @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1519]) ).

thf(fact_0_local_Ofork_I3_J,axiom,
    ~ ( member_r @ right_forkee @ ( rID_G_r_l_v @ s_1 ) ) ).

thf(zip_derived_cl0,plain,
    ~ ( member_r @ right_forkee @ ( rID_G_r_l_v @ s_1 ) ),
    inference(cnf,[status(esa)],[fact_0_local_Ofork_I3_J]) ).

thf(conj_0,conjecture,
    r3 != right_forkee ).

thf(zf_stmt_0,negated_conjecture,
    r3 = right_forkee,
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl357,plain,
    r3 = right_forkee,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl359,plain,
    ~ ( member_r @ r3 @ ( rID_G_r_l_v @ s_1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl357]) ).

thf(zip_derived_cl1522,plain,
    ! [X0: produc1156025366_r_l_v] :
      ( ( s_1 @ r3 )
     != ( some_P1807977723_r_l_v @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl359]) ).

thf(zip_derived_cl1559,plain,
    ( ( s_1 @ r3 )
   != ( s_1 @ r3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1522]) ).

thf(zip_derived_cl1562,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1559]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP046^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.l9pgTT9NFY true
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 12:50:26 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.47/0.84  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.66/0.86  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 14.36/2.49  % Solved by lams/35_full_unif4.sh.
% 14.36/2.49  % done 169 iterations in 1.717s
% 14.36/2.49  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.36/2.49  % SZS output start Refutation
% See solution above
% 14.36/2.50  
% 14.36/2.50  
% 14.36/2.50  % Terminating...
% 15.15/2.60  % Runner terminated.
% 15.15/2.60  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------