TSTP Solution File: ITP190^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP190^1 : 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.EKCZEr6OHW true

% Computer : n005.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 05:22:45 EDT 2023

% Result   : Theorem 119.64s 15.88s
% Output   : Refutation 119.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   43 (  14 unt;  20 typ;   0 def)
%            Number of atoms       :   41 (   9 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  269 (   5   ~;   1   |;   0   &; 246   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   9 con; 0-2 aty)
%                                         (  12  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   39 (  12   ^;  27   !;   0   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pi_type,type,
    pi: $tType ).

thf(late_residual_type,type,
    late_residual: $tType ).

thf(late_freeRes_type,type,
    late_freeRes: $tType ).

thf(name_type,type,
    name: $tType ).

thf(list_P227219501e_name_type,type,
    list_P227219501e_name: $tType ).

thf(produc367475239e_name_type,type,
    produc367475239e_name: $tType ).

thf(late_FreeR_type,type,
    late_FreeR: late_freeRes > pi > late_residual ).

thf(late_transitions_type,type,
    late_transitions: pi > late_residual > $o ).

thf(perm_name_pi_type,type,
    perm_name_pi: list_P227219501e_name > pi > pi ).

thf(late_OutputR_type,type,
    late_OutputR: name > name > late_freeRes ).

thf(b_type,type,
    b: name ).

thf(aa_type,type,
    aa: name ).

thf(produc1570949143e_name_type,type,
    produc1570949143e_name: name > name > produc367475239e_name ).

thf(cons_P1213805021e_name_type,type,
    cons_P1213805021e_name: produc367475239e_name > list_P227219501e_name > list_P227219501e_name ).

thf(nil_Pr743626285e_name_type,type,
    nil_Pr743626285e_name: list_P227219501e_name ).

thf(z_type,type,
    z: name ).

thf(perm_n414416632sidual_type,type,
    perm_n414416632sidual: list_P227219501e_name > late_residual > late_residual ).

thf(q_a_type,type,
    q_a: pi ).

thf(q_type,type,
    q: pi ).

thf(x_type,type,
    x: name ).

thf(fact_6_cOpen_Ohyps_I1_J,axiom,
    late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) ).

thf(zip_derived_cl6,plain,
    late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ),
    inference(cnf,[status(esa)],[fact_6_cOpen_Ohyps_I1_J]) ).

thf(fact_41_eqvt,axiom,
    ! [X1: pi,X2: late_residual,Pi: list_P227219501e_name] :
      ( ( late_transitions @ X1 @ X2 )
     => ( late_transitions @ ( perm_name_pi @ Pi @ X1 ) @ ( perm_n414416632sidual @ Pi @ X2 ) ) ) ).

thf(zip_derived_cl40,plain,
    ( !!
    @ ^ [Y0: pi] :
        ( !!
        @ ^ [Y1: late_residual] :
            ( !!
            @ ^ [Y2: list_P227219501e_name] :
                ( ( late_transitions @ Y0 @ Y1 )
               => ( late_transitions @ ( perm_name_pi @ Y2 @ Y0 ) @ ( perm_n414416632sidual @ Y2 @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_41_eqvt]) ).

thf(zip_derived_cl351,plain,
    ! [X2: pi] :
      ( !!
      @ ^ [Y0: late_residual] :
          ( !!
          @ ^ [Y1: list_P227219501e_name] :
              ( ( late_transitions @ X2 @ Y0 )
             => ( late_transitions @ ( perm_name_pi @ Y1 @ X2 ) @ ( perm_n414416632sidual @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl352,plain,
    ! [X2: pi,X4: late_residual] :
      ( !!
      @ ^ [Y0: list_P227219501e_name] :
          ( ( late_transitions @ X2 @ X4 )
         => ( late_transitions @ ( perm_name_pi @ Y0 @ X2 ) @ ( perm_n414416632sidual @ Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl351]) ).

thf(zip_derived_cl353,plain,
    ! [X2: pi,X4: late_residual,X6: list_P227219501e_name] :
      ( ( late_transitions @ X2 @ X4 )
     => ( late_transitions @ ( perm_name_pi @ X6 @ X2 ) @ ( perm_n414416632sidual @ X6 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl352]) ).

thf(zip_derived_cl354,plain,
    ! [X2: pi,X4: late_residual,X6: list_P227219501e_name] :
      ( ~ ( late_transitions @ X2 @ X4 )
      | ( late_transitions @ ( perm_name_pi @ X6 @ X2 ) @ ( perm_n414416632sidual @ X6 @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl353]) ).

thf(fact_24_name__swap,axiom,
    ! [A: name,B: name,X: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ B @ A ) @ nil_Pr743626285e_name ) @ X ) ) ).

thf(zip_derived_cl23,plain,
    ( !!
    @ ^ [Y0: name] :
        ( !!
        @ ^ [Y1: name] :
            ( !!
            @ ^ [Y2: pi] :
                ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ Y0 @ Y1 ) @ nil_Pr743626285e_name ) @ Y2 )
                = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ Y1 @ Y0 ) @ nil_Pr743626285e_name ) @ Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_24_name__swap]) ).

thf(zip_derived_cl407,plain,
    ! [X2: name] :
      ( !!
      @ ^ [Y0: name] :
          ( !!
          @ ^ [Y1: pi] :
              ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ Y0 ) @ nil_Pr743626285e_name ) @ Y1 )
              = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ Y0 @ X2 ) @ nil_Pr743626285e_name ) @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl408,plain,
    ! [X2: name,X4: name] :
      ( !!
      @ ^ [Y0: pi] :
          ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X4 ) @ nil_Pr743626285e_name ) @ Y0 )
          = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X4 @ X2 ) @ nil_Pr743626285e_name ) @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl407]) ).

thf(zip_derived_cl409,plain,
    ! [X2: name,X4: name,X6: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X4 ) @ nil_Pr743626285e_name ) @ X6 )
      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X4 @ X2 ) @ nil_Pr743626285e_name ) @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl408]) ).

thf(zip_derived_cl410,plain,
    ! [X2: name,X4: name,X6: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X4 ) @ nil_Pr743626285e_name ) @ X6 )
      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X4 @ X2 ) @ nil_Pr743626285e_name ) @ X6 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl409]) ).

thf(conj_0,conjecture,
    late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl231,plain,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0__092_060open_062a_A_061_Ab_092_060close_062,axiom,
    aa = b ).

thf(zip_derived_cl0,plain,
    aa = b,
    inference(cnf,[status(esa)],[fact_0__092_060open_062a_A_061_Ab_092_060close_062]) ).

thf(zip_derived_cl248,plain,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl0]) ).

thf(zip_derived_cl410_001,plain,
    ! [X2: name,X4: name,X6: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X4 ) @ nil_Pr743626285e_name ) @ X6 )
      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X4 @ X2 ) @ nil_Pr743626285e_name ) @ X6 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl409]) ).

thf(zip_derived_cl411,plain,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ x @ z ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl410]) ).

thf(zip_derived_cl14414,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl6,zip_derived_cl354,zip_derived_cl410,zip_derived_cl411]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ITP190^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EKCZEr6OHW true
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 12:18:08 EDT 2023
% 0.21/0.36  % CPUTime  : 
% 0.21/0.36  % Running portfolio for 300 s
% 0.21/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.36  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.37  % Running in HO mode
% 0.23/0.66  % Total configuration time : 828
% 0.23/0.66  % Estimated wc time : 1656
% 0.23/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.84  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 119.64/15.88  % Solved by lams/30_b.l.sh.
% 119.64/15.88  % done 468 iterations in 14.990s
% 119.64/15.88  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 119.64/15.88  % SZS output start Refutation
% See solution above
% 119.64/15.88  
% 119.64/15.88  
% 119.64/15.88  % Terminating...
% 119.64/15.91  % Runner terminated.
% 119.64/15.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------