TSTP Solution File: ALG294^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG294^5 : 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.2Vt1ULBbIQ true

% Computer : n029.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 : Wed Aug 30 17:12:45 EDT 2023

% Result   : Theorem 26.35s 4.05s
% Output   : Refutation 26.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   11 (   1 unt;   7 typ;   0 def)
%            Number of atoms       :  131 (  60 equ;   0 cnn)
%            Maximal formula atoms :   43 (  32 avg)
%            Number of connectives :  535 (   5   ~;  12   |;  87   &; 313   @)
%                                         (   9 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (  16 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   43 (  43   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   4 con; 0-2 aty)
%                                         (  29  !!;  17  ??;   0 @@+;   0 @@-)
%            Number of variables   :  162 (  70   ^;  58   !;  34   ?; 162   :)

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

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

thf(cL_type,type,
    cL: a > a ).

thf(cPHI_type,type,
    cPHI: ( a > $o ) > a > $o ).

thf(cZ_type,type,
    cZ: a ).

thf(cPSI_type,type,
    cPSI: ( a > $o ) > a > $o ).

thf(cR_type,type,
    cR: a > a ).

thf(cPU_X2310B_pme,conjecture,
    ( ( ! [X: a > $o,Xz: a] :
          ( ( cPSI @ X @ Xz )
        <=> ? [Xx: a] :
              ( ! [Xx_15: a] :
                  ( ! [X0: a > $o] :
                      ( ( ! [Xz0: a] :
                            ( ( X0 @ Xz0 )
                           => ( X0 @ ( cL @ Xz0 ) ) )
                        & ( X0 @ Xx ) )
                     => ? [Xv: a] :
                          ( ( X0 @ Xv )
                          & ( ( cR @ Xv )
                            = Xx_15 ) ) )
                 => ( X @ Xx_15 ) )
              & ( cPSI
                @ ^ [Xy: a] :
                  ! [X0: a > $o] :
                    ( ( ! [Xz0: a] :
                          ( ( X0 @ Xz0 )
                         => ( X0 @ ( cL @ Xz0 ) ) )
                      & ( X0 @ Xx ) )
                   => ? [Xv: a] :
                        ( ( X0 @ Xv )
                        & ( ( cR @ Xv )
                          = Xy ) ) )
                @ Xz ) ) )
      & ! [X: a > $o,Xz: a] :
          ( ( cPHI @ X @ Xz )
        <=> ? [Xx: a] :
              ( ! [Xx_14: a] :
                  ( ! [X0: a > $o] :
                      ( ( ! [Xz0: a] :
                            ( ( X0 @ Xz0 )
                           => ( X0 @ ( cL @ Xz0 ) ) )
                        & ( X0 @ Xx ) )
                     => ? [Xv: a] :
                          ( ( X0 @ Xv )
                          & ( ( cR @ Xv )
                            = Xx_14 ) ) )
                 => ( X @ Xx_14 ) )
              & ( cPHI
                @ ^ [Xy: a] :
                  ! [X0: a > $o] :
                    ( ( ! [Xz0: a] :
                          ( ( X0 @ Xz0 )
                         => ( X0 @ ( cL @ Xz0 ) ) )
                      & ( X0 @ Xx ) )
                   => ? [Xv: a] :
                        ( ( X0 @ Xv )
                        & ( ( cR @ Xv )
                          = Xy ) ) )
                @ Xz ) ) )
      & ! [X: a > $o] :
          ( ? [Xt: a] :
              ( ( X @ Xt )
              & ! [Xu: a] :
                  ( ( X @ Xu )
                 => ( X @ ( cL @ Xu ) ) ) )
         => ( X @ cZ ) )
      & ! [Xt: a] :
          ( ( Xt != cZ )
        <=> ( Xt
            = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
      & ! [Xx: a,Xy: a] :
          ( ( cR @ ( cP @ Xx @ Xy ) )
          = Xy )
      & ! [Xx: a,Xy: a] :
          ( ( cL @ ( cP @ Xx @ Xy ) )
          = Xx )
      & ( ( cR @ cZ )
        = cZ )
      & ( ( cL @ cZ )
        = cZ ) )
   => ( ( ^ [Xu: a] :
            ( ? [Xx: a,Xy: a] :
                ( ( Xu
                  = ( cP @ Xx @ Xy ) )
                & ( ( cPHI
                    @ ^ [Xy0: a] :
                      ! [X: a > $o] :
                        ( ( ! [Xz: a] :
                              ( ( X @ Xz )
                             => ( X @ ( cL @ Xz ) ) )
                          & ( X @ Xx ) )
                       => ? [Xv: a] :
                            ( ( X @ Xv )
                            & ( ( cR @ Xv )
                              = Xy0 ) ) )
                    @ Xy )
                  | ( cPSI
                    @ ^ [Xy0: a] :
                      ! [X: a > $o] :
                        ( ( ! [Xz: a] :
                              ( ( X @ Xz )
                             => ( X @ ( cL @ Xz ) ) )
                          & ( X @ Xx ) )
                       => ? [Xv: a] :
                            ( ( X @ Xv )
                            & ( ( cR @ Xv )
                              = Xy0 ) ) )
                    @ Xy ) ) )
            | ( Xu = cZ ) ) )
      = ( ^ [Xz: a] :
            ( ( Xz = cZ )
            | ? [Xx: a,Xy: a] :
                ( ( Xz
                  = ( cP @ Xx @ Xy ) )
                & ( cPHI
                  @ ^ [Xy0: a] :
                    ! [X: a > $o] :
                      ( ( ! [Xz0: a] :
                            ( ( X @ Xz0 )
                           => ( X @ ( cL @ Xz0 ) ) )
                        & ( X @ Xx ) )
                     => ? [Xv: a] :
                          ( ( X @ Xv )
                          & ( ( cR @ Xv )
                            = Xy0 ) ) )
                  @ Xy ) )
            | ? [Xx: a,Xy: a] :
                ( ( Xz
                  = ( cP @ Xx @ Xy ) )
                & ( cPSI
                  @ ^ [Xy0: a] :
                    ! [X: a > $o] :
                      ( ( ! [Xz0: a] :
                            ( ( X @ Xz0 )
                           => ( X @ ( cL @ Xz0 ) ) )
                        & ( X @ Xx ) )
                     => ? [Xv: a] :
                          ( ( X @ Xv )
                          & ( ( cR @ Xv )
                            = Xy0 ) ) )
                  @ Xy ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: a > $o,Xz: a] :
            ( ( cPSI @ X @ Xz )
          <=> ? [Xx: a] :
                ( ! [Xx_15: a] :
                    ( ! [X0: a > $o] :
                        ( ( ! [Xz0: a] :
                              ( ( X0 @ Xz0 )
                             => ( X0 @ ( cL @ Xz0 ) ) )
                          & ( X0 @ Xx ) )
                       => ? [Xv: a] :
                            ( ( X0 @ Xv )
                            & ( ( cR @ Xv )
                              = Xx_15 ) ) )
                   => ( X @ Xx_15 ) )
                & ( cPSI
                  @ ^ [Xy: a] :
                    ! [X0: a > $o] :
                      ( ( ! [Xz0: a] :
                            ( ( X0 @ Xz0 )
                           => ( X0 @ ( cL @ Xz0 ) ) )
                        & ( X0 @ Xx ) )
                     => ? [Xv: a] :
                          ( ( X0 @ Xv )
                          & ( ( cR @ Xv )
                            = Xy ) ) )
                  @ Xz ) ) )
        & ! [X: a > $o,Xz: a] :
            ( ( cPHI @ X @ Xz )
          <=> ? [Xx: a] :
                ( ! [Xx_14: a] :
                    ( ! [X0: a > $o] :
                        ( ( ! [Xz0: a] :
                              ( ( X0 @ Xz0 )
                             => ( X0 @ ( cL @ Xz0 ) ) )
                          & ( X0 @ Xx ) )
                       => ? [Xv: a] :
                            ( ( X0 @ Xv )
                            & ( ( cR @ Xv )
                              = Xx_14 ) ) )
                   => ( X @ Xx_14 ) )
                & ( cPHI
                  @ ^ [Xy: a] :
                    ! [X0: a > $o] :
                      ( ( ! [Xz0: a] :
                            ( ( X0 @ Xz0 )
                           => ( X0 @ ( cL @ Xz0 ) ) )
                        & ( X0 @ Xx ) )
                     => ? [Xv: a] :
                          ( ( X0 @ Xv )
                          & ( ( cR @ Xv )
                            = Xy ) ) )
                  @ Xz ) ) )
        & ! [X: a > $o] :
            ( ? [Xt: a] :
                ( ( X @ Xt )
                & ! [Xu: a] :
                    ( ( X @ Xu )
                   => ( X @ ( cL @ Xu ) ) ) )
           => ( X @ cZ ) )
        & ! [Xt: a] :
            ( ( Xt != cZ )
          <=> ( Xt
              = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
        & ! [Xx: a,Xy: a] :
            ( ( cR @ ( cP @ Xx @ Xy ) )
            = Xy )
        & ! [Xx: a,Xy: a] :
            ( ( cL @ ( cP @ Xx @ Xy ) )
            = Xx )
        & ( ( cR @ cZ )
          = cZ )
        & ( ( cL @ cZ )
          = cZ ) )
     => ( ( ^ [Xu: a] :
              ( ? [Xx: a,Xy: a] :
                  ( ( Xu
                    = ( cP @ Xx @ Xy ) )
                  & ( ( cPHI
                      @ ^ [Xy0: a] :
                        ! [X: a > $o] :
                          ( ( ! [Xz: a] :
                                ( ( X @ Xz )
                               => ( X @ ( cL @ Xz ) ) )
                            & ( X @ Xx ) )
                         => ? [Xv: a] :
                              ( ( X @ Xv )
                              & ( ( cR @ Xv )
                                = Xy0 ) ) )
                      @ Xy )
                    | ( cPSI
                      @ ^ [Xy0: a] :
                        ! [X: a > $o] :
                          ( ( ! [Xz: a] :
                                ( ( X @ Xz )
                               => ( X @ ( cL @ Xz ) ) )
                            & ( X @ Xx ) )
                         => ? [Xv: a] :
                              ( ( X @ Xv )
                              & ( ( cR @ Xv )
                                = Xy0 ) ) )
                      @ Xy ) ) )
              | ( Xu = cZ ) ) )
        = ( ^ [Xz: a] :
              ( ( Xz = cZ )
              | ? [Xx: a,Xy: a] :
                  ( ( Xz
                    = ( cP @ Xx @ Xy ) )
                  & ( cPHI
                    @ ^ [Xy0: a] :
                      ! [X: a > $o] :
                        ( ( ! [Xz0: a] :
                              ( ( X @ Xz0 )
                             => ( X @ ( cL @ Xz0 ) ) )
                          & ( X @ Xx ) )
                       => ? [Xv: a] :
                            ( ( X @ Xv )
                            & ( ( cR @ Xv )
                              = Xy0 ) ) )
                    @ Xy ) )
              | ? [Xx: a,Xy: a] :
                  ( ( Xz
                    = ( cP @ Xx @ Xy ) )
                  & ( cPSI
                    @ ^ [Xy0: a] :
                      ! [X: a > $o] :
                        ( ( ! [Xz0: a] :
                              ( ( X @ Xz0 )
                             => ( X @ ( cL @ Xz0 ) ) )
                          & ( X @ Xx ) )
                       => ? [Xv: a] :
                            ( ( X @ Xv )
                            & ( ( cR @ Xv )
                              = Xy0 ) ) )
                    @ Xy ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cPU_X2310B_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a > $o] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( cPSI @ Y0 @ Y1 )
                <=> ( ??
                    @ ^ [Y2: a] :
                        ( ( !!
                          @ ^ [Y3: a] :
                              ( ( !!
                                @ ^ [Y4: a > $o] :
                                    ( ( ( !!
                                        @ ^ [Y5: a] :
                                            ( ( Y4 @ Y5 )
                                           => ( Y4 @ ( cL @ Y5 ) ) ) )
                                      & ( Y4 @ Y2 ) )
                                   => ( ??
                                      @ ^ [Y5: a] :
                                          ( ( Y4 @ Y5 )
                                          & ( ( cR @ Y5 )
                                            = Y3 ) ) ) ) )
                             => ( Y0 @ Y3 ) ) )
                        & ( cPSI
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a > $o] :
                                  ( ( ( !!
                                      @ ^ [Y5: a] :
                                          ( ( Y4 @ Y5 )
                                         => ( Y4 @ ( cL @ Y5 ) ) ) )
                                    & ( Y4 @ Y2 ) )
                                 => ( ??
                                    @ ^ [Y5: a] :
                                        ( ( Y4 @ Y5 )
                                        & ( ( cR @ Y5 )
                                          = Y3 ) ) ) ) )
                          @ Y1 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: a > $o] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( cPHI @ Y0 @ Y1 )
                <=> ( ??
                    @ ^ [Y2: a] :
                        ( ( !!
                          @ ^ [Y3: a] :
                              ( ( !!
                                @ ^ [Y4: a > $o] :
                                    ( ( ( !!
                                        @ ^ [Y5: a] :
                                            ( ( Y4 @ Y5 )
                                           => ( Y4 @ ( cL @ Y5 ) ) ) )
                                      & ( Y4 @ Y2 ) )
                                   => ( ??
                                      @ ^ [Y5: a] :
                                          ( ( Y4 @ Y5 )
                                          & ( ( cR @ Y5 )
                                            = Y3 ) ) ) ) )
                             => ( Y0 @ Y3 ) ) )
                        & ( cPHI
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a > $o] :
                                  ( ( ( !!
                                      @ ^ [Y5: a] :
                                          ( ( Y4 @ Y5 )
                                         => ( Y4 @ ( cL @ Y5 ) ) ) )
                                    & ( Y4 @ Y2 ) )
                                 => ( ??
                                    @ ^ [Y5: a] :
                                        ( ( Y4 @ Y5 )
                                        & ( ( cR @ Y5 )
                                          = Y3 ) ) ) ) )
                          @ Y1 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: a > $o] :
              ( ( ??
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                    & ( !!
                      @ ^ [Y2: a] :
                          ( ( Y0 @ Y2 )
                         => ( Y0 @ ( cL @ Y2 ) ) ) ) ) )
             => ( Y0 @ cZ ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( Y0 != cZ )
            <=> ( Y0
                = ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( cR @ ( cP @ Y0 @ Y1 ) )
                  = Y1 ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( cL @ ( cP @ Y0 @ Y1 ) )
                  = Y0 ) ) )
        & ( ( cR @ cZ )
          = cZ )
        & ( ( cL @ cZ )
          = cZ ) )
     => ( ( ^ [Y0: a] :
              ( ( ??
                @ ^ [Y1: a] :
                    ( ??
                    @ ^ [Y2: a] :
                        ( ( Y0
                          = ( cP @ Y1 @ Y2 ) )
                        & ( ( cPHI
                            @ ^ [Y3: a] :
                                ( !!
                                @ ^ [Y4: a > $o] :
                                    ( ( ( !!
                                        @ ^ [Y5: a] :
                                            ( ( Y4 @ Y5 )
                                           => ( Y4 @ ( cL @ Y5 ) ) ) )
                                      & ( Y4 @ Y1 ) )
                                   => ( ??
                                      @ ^ [Y5: a] :
                                          ( ( Y4 @ Y5 )
                                          & ( ( cR @ Y5 )
                                            = Y3 ) ) ) ) )
                            @ Y2 )
                          | ( cPSI
                            @ ^ [Y3: a] :
                                ( !!
                                @ ^ [Y4: a > $o] :
                                    ( ( ( !!
                                        @ ^ [Y5: a] :
                                            ( ( Y4 @ Y5 )
                                           => ( Y4 @ ( cL @ Y5 ) ) ) )
                                      & ( Y4 @ Y1 ) )
                                   => ( ??
                                      @ ^ [Y5: a] :
                                          ( ( Y4 @ Y5 )
                                          & ( ( cR @ Y5 )
                                            = Y3 ) ) ) ) )
                            @ Y2 ) ) ) ) )
              | ( Y0 = cZ ) ) )
        = ( ^ [Y0: a] :
              ( ( Y0 = cZ )
              | ( ??
                @ ^ [Y1: a] :
                    ( ??
                    @ ^ [Y2: a] :
                        ( ( Y0
                          = ( cP @ Y1 @ Y2 ) )
                        & ( cPHI
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a > $o] :
                                  ( ( ( !!
                                      @ ^ [Y5: a] :
                                          ( ( Y4 @ Y5 )
                                         => ( Y4 @ ( cL @ Y5 ) ) ) )
                                    & ( Y4 @ Y1 ) )
                                 => ( ??
                                    @ ^ [Y5: a] :
                                        ( ( Y4 @ Y5 )
                                        & ( ( cR @ Y5 )
                                          = Y3 ) ) ) ) )
                          @ Y2 ) ) ) )
              | ( ??
                @ ^ [Y1: a] :
                    ( ??
                    @ ^ [Y2: a] :
                        ( ( Y0
                          = ( cP @ Y1 @ Y2 ) )
                        & ( cPSI
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a > $o] :
                                  ( ( ( !!
                                      @ ^ [Y5: a] :
                                          ( ( Y4 @ Y5 )
                                         => ( Y4 @ ( cL @ Y5 ) ) ) )
                                    & ( Y4 @ Y1 ) )
                                 => ( ??
                                    @ ^ [Y5: a] :
                                        ( ( Y4 @ Y5 )
                                        & ( ( cR @ Y5 )
                                          = Y3 ) ) ) ) )
                          @ Y2 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2834,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG294^5 : 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.2Vt1ULBbIQ true
% 0.18/0.35  % Computer : n029.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Mon Aug 28 04:05:56 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % Running in HO mode
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.49/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 26.35/4.05  % Solved by lams/15_e_short1.sh.
% 26.35/4.05  % done 26 iterations in 3.224s
% 26.35/4.05  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.35/4.05  % SZS output start Refutation
% See solution above
% 26.35/4.05  
% 26.35/4.05  
% 26.61/4.06  % Terminating...
% 27.16/4.19  % Runner terminated.
% 27.16/4.20  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------