TSTP Solution File: SEV214^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV214^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qIGu9BsNFD true

% Computer : n002.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 20:00:03 EDT 2023

% Result   : Theorem 0.93s 0.84s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   57 (  12 unt;  12 typ;   0 def)
%            Number of atoms       :  130 (  89 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  284 (  43   ~;  58   |;  24   &; 135   @)
%                                         (   8 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   83 (  12   ^;  65   !;   6   ?;  83   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iS_type,type,
    iS: $tType ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: iS > $o ).

thf(sk__5_type,type,
    sk__5: ( iS > $o ) > iS ).

thf(sk__type,type,
    sk_: iS > iS ).

thf(cP_type,type,
    cP: iS > iS > iS ).

thf(sk__2_type,type,
    sk__2: iS ).

thf(sk__1_type,type,
    sk__1: iS > iS ).

thf(c0_type,type,
    c0: iS ).

thf(sk__3_type,type,
    sk__3: iS ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: iS > $o ).

thf(cS_T_LR_LEM2_pme,conjecture,
    ( ( ! [Xx: iS,Xy: iS] :
          ( ( cP @ Xx @ Xy )
         != c0 )
      & ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
          ( ( ( cP @ Xx @ Xu )
            = ( cP @ Xy @ Xv ) )
         => ( ( Xx = Xy )
            & ( Xu = Xv ) ) )
      & ! [X: iS > $o] :
          ( ( ( X @ c0 )
            & ! [Xx: iS,Xy: iS] :
                ( ( ( X @ Xx )
                  & ( X @ Xy ) )
               => ( X @ ( cP @ Xx @ Xy ) ) ) )
         => ! [Xx: iS] : ( X @ Xx ) ) )
   => ( ( ( ^ [Xx: iS] :
              ( ( Xx = c0 )
              | ? [Xy: iS] :
                  ( c0
                  = ( cP @ Xx @ Xy ) ) ) )
        = ( ^ [Xx: iS,Xy: iS] : ( Xx = Xy )
          @ c0 ) )
      & ( ( ^ [Xy: iS] :
              ( ( Xy = c0 )
              | ? [Xx: iS] :
                  ( c0
                  = ( cP @ Xx @ Xy ) ) ) )
        = ( ^ [Xx: iS,Xy: iS] : ( Xx = Xy )
          @ c0 ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ( ! [X16: iS > $o] :
          ( ( ! [X18: iS,X20: iS] :
                ( ( ( X16 @ X20 )
                  & ( X16 @ X18 ) )
               => ( X16 @ ( cP @ X18 @ X20 ) ) )
            & ( X16 @ c0 ) )
         => ! [X22: iS] : ( X16 @ X22 ) )
      & ! [X8: iS,X10: iS,X12: iS,X14: iS] :
          ( ( ( cP @ X8 @ X12 )
            = ( cP @ X10 @ X14 ) )
         => ( ( X12 = X14 )
            & ( X8 = X10 ) ) )
      & ! [X4: iS,X6: iS] :
          ( ( cP @ X4 @ X6 )
         != c0 ) )
   => ( ! [V_4: iS] :
          ( ( ? [X26: iS] :
                ( c0
                = ( cP @ X26 @ V_4 ) )
            | ( V_4 = c0 ) )
        <=> ( c0 = V_4 ) )
      & ! [V_2: iS] :
          ( ( ? [X24: iS] :
                ( c0
                = ( cP @ V_2 @ X24 ) )
            | ( V_2 = c0 ) )
        <=> ( c0 = V_2 ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: iS > $o ).

thf(zf_stmt_2,axiom,
    ! [V_2: iS] :
      ( ( zip_tseitin_1 @ V_2 )
    <=> ( ( V_2 = c0 )
        | ? [X24: iS] :
            ( c0
            = ( cP @ V_2 @ X24 ) ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_0: iS > $o ).

thf(zf_stmt_4,axiom,
    ! [V_4: iS] :
      ( ( zip_tseitin_0 @ V_4 )
    <=> ( ( V_4 = c0 )
        | ? [X26: iS] :
            ( c0
            = ( cP @ X26 @ V_4 ) ) ) ) ).

thf(zf_stmt_5,conjecture,
    ( ( ! [X4: iS,X6: iS] :
          ( ( cP @ X4 @ X6 )
         != c0 )
      & ! [X8: iS,X10: iS,X12: iS,X14: iS] :
          ( ( ( cP @ X8 @ X12 )
            = ( cP @ X10 @ X14 ) )
         => ( ( X8 = X10 )
            & ( X12 = X14 ) ) )
      & ! [X16: iS > $o] :
          ( ( ( X16 @ c0 )
            & ! [X18: iS,X20: iS] :
                ( ( ( X16 @ X18 )
                  & ( X16 @ X20 ) )
               => ( X16 @ ( cP @ X18 @ X20 ) ) ) )
         => ! [X22: iS] : ( X16 @ X22 ) ) )
   => ( ! [V_2: iS] :
          ( ( zip_tseitin_1 @ V_2 )
        <=> ( c0 = V_2 ) )
      & ! [V_4: iS] :
          ( ( zip_tseitin_0 @ V_4 )
        <=> ( c0 = V_4 ) ) ) ) ).

thf(zf_stmt_6,negated_conjecture,
    ~ ( ( ! [X4: iS,X6: iS] :
            ( ( cP @ X4 @ X6 )
           != c0 )
        & ! [X8: iS,X10: iS,X12: iS,X14: iS] :
            ( ( ( cP @ X8 @ X12 )
              = ( cP @ X10 @ X14 ) )
           => ( ( X8 = X10 )
              & ( X12 = X14 ) ) )
        & ! [X16: iS > $o] :
            ( ( ( X16 @ c0 )
              & ! [X18: iS,X20: iS] :
                  ( ( ( X16 @ X18 )
                    & ( X16 @ X20 ) )
                 => ( X16 @ ( cP @ X18 @ X20 ) ) ) )
           => ! [X22: iS] : ( X16 @ X22 ) ) )
     => ( ! [V_2: iS] :
            ( ( zip_tseitin_1 @ V_2 )
          <=> ( c0 = V_2 ) )
        & ! [V_4: iS] :
            ( ( zip_tseitin_0 @ V_4 )
          <=> ( c0 = V_4 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( zip_tseitin_1 @ sk__2 )
    | ( c0 != sk__2 )
    | ( c0 != sk__3 )
    | ~ ( zip_tseitin_0 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl24,plain,
    ( ~ ( zip_tseitin_1 @ c0 )
    | ( c0 != sk__2 )
    | ( c0 != sk__3 )
    | ~ ( zip_tseitin_0 @ c0 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl4,plain,
    ! [X0: iS] :
      ( ( zip_tseitin_1 @ X0 )
      | ( X0 != c0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl17,plain,
    zip_tseitin_1 @ c0,
    inference(simplify,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl1,plain,
    ! [X0: iS] :
      ( ( zip_tseitin_0 @ X0 )
      | ( X0 != c0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl16,plain,
    zip_tseitin_0 @ c0,
    inference(simplify,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl25,plain,
    ( ( c0 != sk__2 )
    | ( c0 != sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl17,zip_derived_cl16]) ).

thf(zip_derived_cl15,plain,
    ( ( zip_tseitin_1 @ sk__2 )
    | ( c0 = sk__2 )
    | ( c0 = sk__3 )
    | ( zip_tseitin_0 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl3,plain,
    ! [X0: iS] :
      ( ( c0
        = ( cP @ X0 @ ( sk__1 @ X0 ) ) )
      | ( X0 = c0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl6,plain,
    ! [X0: iS,X1: iS] :
      ( ( cP @ X0 @ X1 )
     != c0 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl91,plain,
    ! [X0: iS] :
      ( ( X0 = c0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl95,plain,
    ( ( zip_tseitin_0 @ sk__3 )
    | ( c0 = sk__3 )
    | ( c0 = sk__2 )
    | ( sk__2 = c0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl91]) ).

thf(zip_derived_cl112,plain,
    ( ( c0 = sk__2 )
    | ( c0 = sk__3 )
    | ( zip_tseitin_0 @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( zip_tseitin_1 @ sk__2 )
    | ( c0 != sk__2 )
    | ( c0 = sk__3 )
    | ( zip_tseitin_0 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl18,plain,
    ( ~ ( zip_tseitin_1 @ c0 )
    | ( c0 != sk__2 )
    | ( c0 = sk__3 )
    | ( zip_tseitin_0 @ sk__3 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl17_001,plain,
    zip_tseitin_1 @ c0,
    inference(simplify,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl19,plain,
    ( ( c0 != sk__2 )
    | ( c0 = sk__3 )
    | ( zip_tseitin_0 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl17]) ).

thf(zip_derived_cl209,plain,
    ( ( zip_tseitin_0 @ sk__3 )
    | ( c0 = sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl112,zip_derived_cl19]) ).

thf(zip_derived_cl10,plain,
    ! [X6: iS > $o,X7: iS] :
      ( ( X6 @ X7 )
      | ( X6 @ ( sk__5 @ X6 ) )
      | ~ ( X6 @ c0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl28,plain,
    ! [X0: iS > $o] :
      ( ~ ( X0 @ c0 )
      | ( X0 @ ( sk__5 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl0,plain,
    ! [X0: iS] :
      ( ( c0
        = ( cP @ ( sk_ @ X0 ) @ X0 ) )
      | ( X0 = c0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl104,plain,
    ! [X0: iS,X1: iS] :
      ( ~ ( ^ [Y0: iS] :
              ( zip_tseitin_0
              @ ( ^ [Y1: iS] :
                    ( ^ [Y2: iS] : X0
                    @ Y1 )
                @ Y0 ) )
          @ c0 )
      | ( ( ^ [Y0: iS] : X0
          @ X1 )
        = c0 )
      | ( c0
        = ( cP
          @ ( sk_
            @ ( ^ [Y0: iS] : X0
              @ X1 ) )
          @ ( ^ [Y0: iS] : X0
            @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl0]) ).

thf(zip_derived_cl122,plain,
    ! [X0: iS] :
      ( ~ ( zip_tseitin_0 @ X0 )
      | ( X0 = c0 )
      | ( c0
        = ( cP @ ( sk_ @ X0 ) @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: iS,X1: iS] :
      ( ( cP @ X0 @ X1 )
     != c0 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl123,plain,
    ! [X0: iS] :
      ( ~ ( zip_tseitin_0 @ X0 )
      | ( X0 = c0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl122,zip_derived_cl6]) ).

thf(zip_derived_cl210,plain,
    c0 = sk__3,
    inference(clc,[status(thm)],[zip_derived_cl209,zip_derived_cl123]) ).

thf(zip_derived_cl213,plain,
    ( ( c0 != sk__2 )
    | ( c0 != c0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl210]) ).

thf(zip_derived_cl214,plain,
    c0 != sk__2,
    inference(simplify,[status(thm)],[zip_derived_cl213]) ).

thf(zip_derived_cl14,plain,
    ( ( zip_tseitin_1 @ sk__2 )
    | ( c0 = sk__2 )
    | ( c0 != sk__3 )
    | ~ ( zip_tseitin_0 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl20,plain,
    ( ( zip_tseitin_1 @ sk__2 )
    | ( c0 = sk__2 )
    | ( c0 != sk__3 )
    | ~ ( zip_tseitin_0 @ c0 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl16_003,plain,
    zip_tseitin_0 @ c0,
    inference(simplify,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl21,plain,
    ( ( zip_tseitin_1 @ sk__2 )
    | ( c0 = sk__2 )
    | ( c0 != sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl16]) ).

thf(zip_derived_cl210_004,plain,
    c0 = sk__3,
    inference(clc,[status(thm)],[zip_derived_cl209,zip_derived_cl123]) ).

thf(zip_derived_cl211,plain,
    ( ( zip_tseitin_1 @ sk__2 )
    | ( c0 = sk__2 )
    | ( c0 != c0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl210]) ).

thf(zip_derived_cl212,plain,
    ( ( c0 = sk__2 )
    | ( zip_tseitin_1 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl211]) ).

thf(zip_derived_cl91_005,plain,
    ! [X0: iS] :
      ( ( X0 = c0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl215,plain,
    c0 = sk__2,
    inference(clc,[status(thm)],[zip_derived_cl212,zip_derived_cl91]) ).

thf(zip_derived_cl216,plain,
    c0 != c0,
    inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl215]) ).

thf(zip_derived_cl217,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl216]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV214^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qIGu9BsNFD true
% 0.13/0.35  % Computer : n002.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 : Thu Aug 24 04:12:46 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.80  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.93/0.84  % Solved by lams/40_c.s.sh.
% 0.93/0.84  % done 39 iterations in 0.042s
% 0.93/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.93/0.84  % SZS output start Refutation
% See solution above
% 0.93/0.84  
% 0.93/0.84  
% 0.93/0.84  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.84  % Terminating...
% 1.74/0.89  % Runner terminated.
% 1.74/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------