TSTP Solution File: CSR130^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR130^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.F4b743qol5 true

% Computer : n023.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 22:08:06 EDT 2023

% Result   : Theorem 0.55s 0.92s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   35 (  16 unt;   9 typ;   0 def)
%            Number of atoms       :   53 (   3 equ;   7 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  240 (  26   ~;  11   |;  14   &; 179   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (   9 usr;   7 con; 0-2 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   67 (  42   ^;  23   !;   2   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(likes_THFTYPE_IiioI_type,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(lBill_THFTYPE_i_type,type,
    lBill_THFTYPE_i: $i ).

thf(lSue_THFTYPE_i_type,type,
    lSue_THFTYPE_i: $i ).

thf(lMary_THFTYPE_i_type,type,
    lMary_THFTYPE_i: $i ).

thf(holdsDuring_THFTYPE_IiooI_type,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(n2009_THFTYPE_i_type,type,
    n2009_THFTYPE_i: $i ).

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

thf(sk__4_type,type,
    sk__4: ( $i > $i > $o ) > $i ).

thf(lYearFn_THFTYPE_IiiI_type,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(ax_008,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ).

thf(zip_derived_cl4,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[ax_008]) ).

thf(con,conjecture,
    ? [R: $i > $i > $o] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ~ ! [A: $i,B: $i] : ( R @ A @ B )
        & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [R: $i > $i > $o] :
        ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ~ ! [A: $i,B: $i] : ( R @ A @ B )
          & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
          & ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i > $i > $o] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( !!
                  @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
          & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
          & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i > $i > $o] :
      ( ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
     != ( ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
        & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i > $i > $o] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = ( ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
        & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__5 @ X0 ) )
      | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl173,plain,
    ~ ( ^ [Y0: $i,Y1: $i] :
          ( likes_THFTYPE_IiioI
          @ ( ^ [Y2: $i,Y3: $i] : lSue_THFTYPE_i
            @ Y0
            @ Y1 )
          @ ( ^ [Y2: $i,Y3: $i] : lMary_THFTYPE_i
            @ Y0
            @ Y1 ) )
      @ ( sk__4
        @ ^ [Y0: $i,Y1: $i] :
            ( likes_THFTYPE_IiioI
            @ ( ^ [Y2: $i,Y3: $i] : lSue_THFTYPE_i
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: $i,Y3: $i] : lMary_THFTYPE_i
              @ Y0
              @ Y1 ) ) )
      @ ( sk__5
        @ ^ [Y0: $i,Y1: $i] :
            ( likes_THFTYPE_IiioI
            @ ( ^ [Y2: $i,Y3: $i] : lSue_THFTYPE_i
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: $i,Y3: $i] : lMary_THFTYPE_i
              @ Y0
              @ Y1 ) ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl167]) ).

thf(zip_derived_cl174,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    inference(ho_norm,[status(thm)],[zip_derived_cl173]) ).

thf(ax_003,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).

thf(zip_derived_cl0,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_003]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: $i > $i > $o] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( !!
                  @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
          & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
          & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i > $i > $o] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
     != ( ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
        & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i > $i > $o] :
      ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $o] :
      ( ( ^ [Y0: $i,Y1: $i] : X0
        @ lSue_THFTYPE_i
        @ lBill_THFTYPE_i )
      | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $o] :
      ( X0
      | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl35,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      | ( X0 @ X1 @ X2 )
      | ~ ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl174_002,plain,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    inference(ho_norm,[status(thm)],[zip_derived_cl173]) ).

thf(zip_derived_cl250,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i] :
      ( ~ ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      | ~ ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      | ( X0 @ X1 @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl174]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] :
            ( likes_THFTYPE_IiioI
            @ ( ^ [Y2: $i,Y3: $i] : lSue_THFTYPE_i
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: $i,Y3: $i] : Y3
              @ Y0
              @ Y1 ) )
        @ X1
        @ X0 )
      | ~ ( ^ [Y0: $i,Y1: $i] :
              ( likes_THFTYPE_IiioI
              @ ( ^ [Y2: $i,Y3: $i] : lSue_THFTYPE_i
                @ Y0
                @ Y1 )
              @ ( ^ [Y2: $i,Y3: $i] : Y3
                @ Y0
                @ Y1 ) )
          @ lSue_THFTYPE_i
          @ lBill_THFTYPE_i ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl250]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 )
      | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl275]) ).

thf(zip_derived_cl35_003,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(condensation,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl333,plain,
    ! [X0: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl35]) ).

thf(zip_derived_cl395,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl333]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR130^2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.F4b743qol5 true
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 08:00:25 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.53/0.66  % Total configuration time : 828
% 0.53/0.66  % Estimated wc time : 1656
% 0.53/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.55/0.92  % Solved by lams/40_c_ic.sh.
% 0.55/0.92  % done 49 iterations in 0.144s
% 0.55/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.92  % SZS output start Refutation
% See solution above
% 0.55/0.92  
% 0.55/0.92  
% 0.55/0.92  % Terminating...
% 1.64/0.97  % Runner terminated.
% 1.64/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------