TSTP Solution File: SYO170^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO170^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ALgdlw8A6E true

% Computer : n007.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 : Fri Sep  1 05:49:57 EDT 2023

% Result   : Theorem 5.55s 1.34s
% Output   : Refutation 5.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   42 (  13 unt;   5 typ;   0 def)
%            Number of atoms       :  162 (   8 equ;   0 cnn)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  500 (  16   ~;  12   |;  25   &; 375   @)
%                                         (  12 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   6 con; 0-3 aty)
%                                         (  42  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  130 (  42   ^;  88   !;   0   ?; 130   :)

% Comments : 
%------------------------------------------------------------------------------
thf(e_type,type,
    e: $i ).

thf(ab_type,type,
    ab: $i ).

thf(b_type,type,
    b: $i ).

thf(cP_type,type,
    cP: $i > $i > $i > $o ).

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

thf(cTHM105,conjecture,
    ( ( ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i,Xyz: $i,Xxyz: $i] :
          ( ( ( cP @ Xy @ Xz @ Xyz )
            & ( cP @ Xx @ Xy @ Xxy ) )
         => ( ( cP @ Xxy @ Xz @ Xxyz )
          <=> ( cP @ Xx @ Xyz @ Xxyz ) ) )
      & ! [Xz: $i] : ( cP @ Xz @ Xz @ e )
      & ! [Xy: $i] : ( cP @ Xy @ e @ Xy )
      & ! [Xx: $i] : ( cP @ e @ Xx @ Xx ) )
   => ( ( cP @ a @ b @ ab )
     => ( cP @ b @ a @ ab ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i,Xyz: $i,Xxyz: $i] :
            ( ( ( cP @ Xy @ Xz @ Xyz )
              & ( cP @ Xx @ Xy @ Xxy ) )
           => ( ( cP @ Xxy @ Xz @ Xxyz )
            <=> ( cP @ Xx @ Xyz @ Xxyz ) ) )
        & ! [Xz: $i] : ( cP @ Xz @ Xz @ e )
        & ! [Xy: $i] : ( cP @ Xy @ e @ Xy )
        & ! [Xx: $i] : ( cP @ e @ Xx @ Xx ) )
     => ( ( cP @ a @ b @ ab )
       => ( cP @ b @ a @ ab ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM105]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( !!
                      @ ^ [Y3: $i] :
                          ( !!
                          @ ^ [Y4: $i] :
                              ( !!
                              @ ^ [Y5: $i] :
                                  ( ( ( cP @ Y1 @ Y2 @ Y4 )
                                    & ( cP @ Y0 @ Y1 @ Y3 ) )
                                 => ( ( cP @ Y3 @ Y2 @ Y5 )
                                  <=> ( cP @ Y0 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: $i] : ( cP @ Y0 @ Y0 @ e ) )
        & ( !!
          @ ^ [Y0: $i] : ( cP @ Y0 @ e @ Y0 ) )
        & ( !!
          @ ^ [Y0: $i] : ( cP @ e @ Y0 @ Y0 ) ) )
     => ( ( cP @ a @ b @ ab )
       => ( cP @ b @ a @ ab ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( cP @ a @ b @ ab )
     => ( cP @ b @ a @ ab ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl8,plain,
    ~ ( cP @ b @ a @ ab ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( !!
                  @ ^ [Y3: $i] :
                      ( !!
                      @ ^ [Y4: $i] :
                          ( !!
                          @ ^ [Y5: $i] :
                              ( ( ( cP @ Y1 @ Y2 @ Y4 )
                                & ( cP @ Y0 @ Y1 @ Y3 ) )
                             => ( ( cP @ Y3 @ Y2 @ Y5 )
                              <=> ( cP @ Y0 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] : ( cP @ Y0 @ Y0 @ e ) )
    & ( !!
      @ ^ [Y0: $i] : ( cP @ Y0 @ e @ Y0 ) )
    & ( !!
      @ ^ [Y0: $i] : ( cP @ e @ Y0 @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] : ( cP @ Y0 @ Y0 @ e ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] : ( cP @ X2 @ X2 @ e ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    cP @ a @ b @ ab,
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl10_001,plain,
    ! [X2: $i] : ( cP @ X2 @ X2 @ e ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( !!
                @ ^ [Y3: $i] :
                    ( !!
                    @ ^ [Y4: $i] :
                        ( !!
                        @ ^ [Y5: $i] :
                            ( ( ( cP @ Y1 @ Y2 @ Y4 )
                              & ( cP @ Y0 @ Y1 @ Y3 ) )
                           => ( ( cP @ Y3 @ Y2 @ Y5 )
                            <=> ( cP @ Y0 @ Y4 @ Y5 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( !!
                  @ ^ [Y3: $i] :
                      ( !!
                      @ ^ [Y4: $i] :
                          ( ( ( cP @ Y0 @ Y1 @ Y3 )
                            & ( cP @ X2 @ Y0 @ Y2 ) )
                         => ( ( cP @ Y2 @ Y1 @ Y4 )
                          <=> ( cP @ X2 @ Y3 @ Y4 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( !!
                  @ ^ [Y3: $i] :
                      ( ( ( cP @ X4 @ Y0 @ Y2 )
                        & ( cP @ X2 @ X4 @ Y1 ) )
                     => ( ( cP @ Y1 @ Y0 @ Y3 )
                      <=> ( cP @ X2 @ Y2 @ Y3 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( ( cP @ X4 @ X6 @ Y1 )
                    & ( cP @ X2 @ X4 @ Y0 ) )
                 => ( ( cP @ Y0 @ X6 @ Y2 )
                  <=> ( cP @ X2 @ Y1 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( cP @ X4 @ X6 @ Y0 )
                & ( cP @ X2 @ X4 @ X8 ) )
             => ( ( cP @ X8 @ X6 @ Y1 )
              <=> ( cP @ X2 @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( cP @ X4 @ X6 @ X10 )
            & ( cP @ X2 @ X4 @ X8 ) )
         => ( ( cP @ X8 @ X6 @ Y0 )
          <=> ( cP @ X2 @ X10 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ( ( cP @ X4 @ X6 @ X10 )
        & ( cP @ X2 @ X4 @ X8 ) )
     => ( ( cP @ X8 @ X6 @ X12 )
      <=> ( cP @ X2 @ X10 @ X12 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( ( cP @ X4 @ X6 @ X10 )
          & ( cP @ X2 @ X4 @ X8 ) )
      | ( ( cP @ X8 @ X6 @ X12 )
      <=> ( cP @ X2 @ X10 @ X12 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( ( cP @ X4 @ X6 @ X10 )
          & ( cP @ X2 @ X4 @ X8 ) )
      | ( ( cP @ X8 @ X6 @ X12 )
        = ( cP @ X2 @ X10 @ X12 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( cP @ X4 @ X6 @ X10 )
      | ~ ( cP @ X2 @ X4 @ X8 )
      | ( ( cP @ X8 @ X6 @ X12 )
        = ( cP @ X2 @ X10 @ X12 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( cP @ X2 @ X0 @ X1 )
        = ( cP @ X3 @ e @ X1 ) )
      | ~ ( cP @ X3 @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl20]) ).

thf(zip_derived_cl207,plain,
    ! [X0: $i] :
      ( ( cP @ ab @ b @ X0 )
      = ( cP @ a @ e @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl24]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] : ( cP @ Y0 @ e @ Y0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] : ( cP @ X2 @ e @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl251,plain,
    cP @ ab @ b @ a,
    inference('sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl11]) ).

thf(zip_derived_cl20_002,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( cP @ X4 @ X6 @ X10 )
      | ~ ( cP @ X2 @ X4 @ X8 )
      | ( ( cP @ X8 @ X6 @ X12 )
        = ( cP @ X2 @ X10 @ X12 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl268,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( cP @ X1 @ b @ X0 )
        = ( cP @ X2 @ a @ X0 ) )
      | ~ ( cP @ X2 @ ab @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl251,zip_derived_cl20]) ).

thf(zip_derived_cl3202,plain,
    ! [X0: $i] :
      ( ( cP @ e @ b @ X0 )
      = ( cP @ ab @ a @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl268]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: $i] : ( cP @ e @ Y0 @ Y0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] : ( cP @ e @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl3327,plain,
    cP @ ab @ a @ b,
    inference('sup+',[status(thm)],[zip_derived_cl3202,zip_derived_cl12]) ).

thf(zip_derived_cl11_003,plain,
    ! [X2: $i] : ( cP @ X2 @ e @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl24_004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( cP @ X2 @ X0 @ X1 )
        = ( cP @ X3 @ e @ X1 ) )
      | ~ ( cP @ X3 @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl20]) ).

thf(zip_derived_cl212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cP @ X2 @ X0 @ X1 )
      | ~ ( cP @ X3 @ e @ X1 )
      | ~ ( cP @ X3 @ X0 @ X2 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl2581,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cP @ X0 @ X2 @ X1 )
      | ( cP @ X1 @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl212]) ).

thf(zip_derived_cl3383,plain,
    cP @ b @ a @ ab,
    inference('sup-',[status(thm)],[zip_derived_cl3327,zip_derived_cl2581]) ).

thf(zip_derived_cl3433,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl3383]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO170^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ALgdlw8A6E true
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 05:17:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.03/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 5.55/1.34  % Solved by lams/20_acsne_simpl.sh.
% 5.55/1.34  % done 1166 iterations in 0.557s
% 5.55/1.34  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.55/1.34  % SZS output start Refutation
% See solution above
% 5.55/1.34  
% 5.55/1.34  
% 5.55/1.34  % Terminating...
% 6.43/1.47  % Runner terminated.
% 6.43/1.48  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------