TSTP Solution File: ITP004^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP004^2 : TPTP v8.1.2. Bugfixed 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.QLQmiogDHi true

% Computer : n013.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 05:20:44 EDT 2023

% Result   : Theorem 73.54s 10.03s
% Output   : Refutation 73.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   27 (   3 unt;  11 typ;   0 def)
%            Number of atoms       :   63 (   4 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  296 (   4   ~;   0   |;   2   &; 245   @)
%                                         (   4 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  11 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   3 con; 0-2 aty)
%                                         (  18  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   38 (  18   ^;  20   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(del_type,type,
    del: $tType ).

thf(mem_type,type,
    mem: $i > del > $o ).

thf(p_type,type,
    p: $i > $o ).

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(arr_type,type,
    arr: del > del > del ).

thf(c_2Epred__set_2ECHOICE_type,type,
    c_2Epred__set_2ECHOICE: del > $i ).

thf(bool_type,type,
    bool: del ).

thf(c_2Ebool_2EIN_type,type,
    c_2Ebool_2EIN: del > $i ).

thf(c_2Epred__set_2EREST_type,type,
    c_2Epred__set_2EREST: del > $i ).

thf(c_2Epred__set_2EDELETE_type,type,
    c_2Epred__set_2EDELETE: del > $i ).

thf(c_2Epred__set_2ESUBSET_type,type,
    c_2Epred__set_2ESUBSET: del > $i ).

thf(ax_thm_2Epred__set_2EREST__DEF,axiom,
    ! [A_27a: del,V0s: $i] :
      ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
     => ( ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s )
        = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ( !!
    @ ^ [Y0: del] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
           => ( ( ap @ ( c_2Epred__set_2EREST @ Y0 ) @ Y1 )
              = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ Y0 ) @ Y1 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ Y0 ) @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax_thm_2Epred__set_2EREST__DEF]) ).

thf(mem_c_2Epred__set_2ECHOICE,axiom,
    ! [A_27a: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ).

thf(zip_derived_cl15,plain,
    ( !!
    @ ^ [Y0: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ Y0 ) @ ( arr @ ( arr @ Y0 @ bool ) @ Y0 ) ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2ECHOICE]) ).

thf(conj_thm_2Epred__set_2EIN__DELETE,axiom,
    ! [A_27a: del,V0s: $i] :
      ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
     => ! [V1x: $i] :
          ( ( mem @ V1x @ A_27a )
         => ! [V2y: $i] :
              ( ( mem @ V2y @ A_27a )
             => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2y ) ) )
              <=> ( ( V1x != V2y )
                  & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) ) ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ( !!
    @ ^ [Y0: del] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
           => ( !!
              @ ^ [Y2: $i] :
                  ( ( mem @ Y2 @ Y0 )
                 => ( !!
                    @ ^ [Y3: $i] :
                        ( ( mem @ Y3 @ Y0 )
                       => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ Y0 ) @ Y2 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ Y0 ) @ Y1 ) @ Y3 ) ) )
                        <=> ( ( Y2 != Y3 )
                            & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ Y0 ) @ Y2 ) @ Y1 ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epred__set_2EIN__DELETE]) ).

thf(mem_c_2Epred__set_2EREST,axiom,
    ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EREST @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).

thf(zip_derived_cl17,plain,
    ( !!
    @ ^ [Y0: del] : ( mem @ ( c_2Epred__set_2EREST @ Y0 ) @ ( arr @ ( arr @ Y0 @ bool ) @ ( arr @ Y0 @ bool ) ) ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2EREST]) ).

thf(ap_tp,axiom,
    ! [A: del,B: del,F: $i] :
      ( ( mem @ F @ ( arr @ A @ B ) )
     => ! [X: $i] :
          ( ( mem @ X @ A )
         => ( mem @ ( ap @ F @ X ) @ B ) ) ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: del] :
        ( !!
        @ ^ [Y1: del] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( mem @ Y2 @ ( arr @ Y0 @ Y1 ) )
               => ( !!
                  @ ^ [Y3: $i] :
                      ( ( mem @ Y3 @ Y0 )
                     => ( mem @ ( ap @ Y2 @ Y3 ) @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(ax_thm_2Epred__set_2ESUBSET__DEF,axiom,
    ! [A_27a: del,V0s: $i] :
      ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
     => ! [V1t: $i] :
          ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
         => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
          <=> ! [V2x: $i] :
                ( ( mem @ V2x @ A_27a )
               => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
                 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ( !!
    @ ^ [Y0: del] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
           => ( !!
              @ ^ [Y2: $i] :
                  ( ( mem @ Y2 @ ( arr @ Y0 @ bool ) )
                 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ Y0 ) @ Y1 ) @ Y2 ) )
                  <=> ( !!
                      @ ^ [Y3: $i] :
                          ( ( mem @ Y3 @ Y0 )
                         => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ Y0 ) @ Y3 ) @ Y1 ) )
                           => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ Y0 ) @ Y3 ) @ Y2 ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax_thm_2Epred__set_2ESUBSET__DEF]) ).

thf(conj_thm_2Epred__set_2EREST__SUBSET,conjecture,
    ! [A_27a: del,V0s: $i] :
      ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
     => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: del,V0s: $i] :
        ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
       => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Epred__set_2EREST__SUBSET]) ).

thf(zip_derived_cl25,plain,
    ~ ( !!
      @ ^ [Y0: del] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
             => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ Y0 ) @ ( ap @ ( c_2Epred__set_2EREST @ Y0 ) @ Y1 ) ) @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6754,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl24,zip_derived_cl15,zip_derived_cl23,zip_derived_cl17,zip_derived_cl3,zip_derived_cl22,zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP004^2 : TPTP v8.1.2. Bugfixed 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.QLQmiogDHi true
% 0.13/0.36  % Computer : n013.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun Aug 27 11:46:47 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.37  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.84  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 73.54/10.03  % Solved by lams/15_e_short1.sh.
% 73.54/10.03  % done 483 iterations in 9.220s
% 73.54/10.03  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 73.54/10.03  % SZS output start Refutation
% See solution above
% 73.54/10.03  
% 73.54/10.03  
% 73.54/10.03  % Terminating...
% 73.54/10.10  % Runner terminated.
% 73.54/10.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------