TSTP Solution File: CSR142^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR142^2 : 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.zV9a9u86a4 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 22:08:12 EDT 2023

% Result   : Theorem 0.58s 0.88s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   34 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   85 (   1 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  187 (   7   ~;   3   |;   0   &; 125   @)
%                                         (  15 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   6 usr;   7 con; 0-2 aty)
%                                         (  28  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   46 (  29   ^;  15   !;   2   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(husband_THFTYPE_IiioI_type,type,
    husband_THFTYPE_IiioI: $i > $i > $o ).

thf('#form61_type',type,
    '#form61': $o ).

thf(inverse_THFTYPE_IIiioIIiioIoI_type,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(wife_THFTYPE_IiioI_type,type,
    wife_THFTYPE_IiioI: $i > $i > $o ).

thf(lCorina_THFTYPE_i_type,type,
    lCorina_THFTYPE_i: $i ).

thf(lChris_THFTYPE_i_type,type,
    lChris_THFTYPE_i: $i ).

thf(ax_051,axiom,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ).

thf(zip_derived_cl51,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_051]) ).

thf(ax_042,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).

thf(zip_derived_cl42,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(cnf,[status(esa)],[ax_042]) ).

thf(ax_006,axiom,
    ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
     => ! [INST1: $i,INST2: $i] :
          ( ( REL1 @ INST1 @ INST2 )
        <=> ( REL2 @ INST2 @ INST1 ) ) ) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: $i > $i > $o] :
        ( !!
        @ ^ [Y1: $i > $i > $o] :
            ( ( inverse_THFTYPE_IIiioIIiioIoI @ Y1 @ Y0 )
           => ( !!
              @ ^ [Y2: $i] :
                  ( !!
                  @ ^ [Y3: $i] :
                      ( ( Y1 @ Y2 @ Y3 )
                    <=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax_006]) ).

thf(zip_derived_cl252,plain,
    ! [X2: $i > $i > $o] :
      ( !!
      @ ^ [Y0: $i > $i > $o] :
          ( ( inverse_THFTYPE_IIiioIIiioIoI @ Y0 @ X2 )
         => ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y1 @ Y2 )
                  <=> ( X2 @ Y2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl253,plain,
    ( !!
    @ ^ [Y0: $i > $i > $o] :
        ( ( inverse_THFTYPE_IIiioIIiioIoI @ Y0 @ wife_THFTYPE_IiioI )
       => ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y1 @ Y2 )
                <=> ( wife_THFTYPE_IiioI @ Y2 @ Y1 ) ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl252]) ).

thf(zip_derived_cl261,plain,
    ! [X2: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ wife_THFTYPE_IiioI )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( X2 @ Y0 @ Y1 )
              <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl253]) ).

thf(zip_derived_cl271,plain,
    ( $true
   => ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl261]) ).

thf(zip_derived_cl274,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
          <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl271]) ).

thf(zip_derived_cl280,plain,
    ( ~ '#form61'
    | ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl281,plain,
    ! [X2: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( husband_THFTYPE_IiioI @ X2 @ Y0 )
          <=> ( wife_THFTYPE_IiioI @ Y0 @ X2 ) ) )
      | ~ '#form61' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl280]) ).

thf(zip_derived_cl42_001,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(cnf,[status(esa)],[ax_042]) ).

thf(zip_derived_cl261_002,plain,
    ! [X2: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ wife_THFTYPE_IiioI )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( X2 @ Y0 @ Y1 )
              <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl253]) ).

thf(zip_derived_cl273,plain,
    ( $true
   => ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl261]) ).

thf(zip_derived_cl275,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
          <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl273]) ).

thf(zip_derived_cl280_003,plain,
    ( ~ '#form61'
    | ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl285,plain,
    '#form61',
    inference(renaming,[status(thm)],[zip_derived_cl275,zip_derived_cl280]) ).

thf(zip_derived_cl286,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( husband_THFTYPE_IiioI @ X2 @ Y0 )
        <=> ( wife_THFTYPE_IiioI @ Y0 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl285]) ).

thf(zip_derived_cl287,plain,
    ! [X2: $i,X4: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X4 )
    <=> ( wife_THFTYPE_IiioI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl286]) ).

thf(zip_derived_cl288,plain,
    ! [X2: $i,X4: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X4 )
      = ( wife_THFTYPE_IiioI @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl287]) ).

thf(con,conjecture,
    ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl229,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( husband_THFTYPE_IiioI @ Y0 @ lCorina_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ! [X2: $i] :
      ~ ( husband_THFTYPE_IiioI @ X2 @ lCorina_THFTYPE_i ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl293,plain,
    ! [X0: $i] :
      ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl230]) ).

thf(zip_derived_cl304,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl293]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR142^2 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zV9a9u86a4 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 11:05:25 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
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.55/0.65  % Total configuration time : 828
% 0.55/0.65  % Estimated wc time : 1656
% 0.55/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.58/0.88  % Solved by lams/35_full_unif.sh.
% 0.58/0.88  % done 72 iterations in 0.061s
% 0.58/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.88  % SZS output start Refutation
% See solution above
% 0.58/0.88  
% 0.58/0.88  
% 0.58/0.88  % Terminating...
% 1.73/0.99  % Runner terminated.
% 1.73/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------