TSTP Solution File: CSR145^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR145^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Z57tclSrCD true

% Computer : n001.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 22:08:14 EDT 2023

% Result   : Theorem 13.10s 2.33s
% Output   : Refutation 13.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   42 (  22 unt;   6 typ;   0 def)
%            Number of atoms       :   65 (  17 equ;   1 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  184 (  23   ~;  11   |;   4   &; 121   @)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   60 (  60   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   6 usr;   8 con; 0-2 aty)
%                                         (  12  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   86 (  34   ^;  49   !;   3   ?;  86   :)

% Comments : 
%------------------------------------------------------------------------------
thf(husband_THFTYPE_IiioI_type,type,
    husband_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(inverse_THFTYPE_IIiioIIiioIoI_type,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf('#sk36_type',type,
    '#sk36': $i ).

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

thf(con,conjecture,
    ? [R: $i > $i > $o] :
      ( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      & ( R
       != ( ^ [X: $i,Y: $i] : $true ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [R: $i > $i > $o] :
        ( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
        & ( R
         != ( ^ [X: $i,Y: $i] : $true ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl128,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i > $o] :
          ( ( Y0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
          & ( Y0
           != ( ^ [Y1: $i,Y2: $i] : $true ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl169,plain,
    ! [X2: $i > $i > $o] :
      ~ ( ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
        & ( X2
         != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl170,plain,
    ! [X2: $i > $i > $o] :
      ( ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      | ( X2
       != ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl169]) ).

thf(zip_derived_cl171,plain,
    ! [X2: $i > $i > $o] :
      ( ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      | ( X2
        = ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl170]) ).

thf(zip_derived_cl237,plain,
    ! [X2: $i > $i > $o,X3: $i,X4: $i] :
      ( ( ( X2 @ X3 @ X4 )
        = ( ^ [Y0: $i,Y1: $i] : $true
          @ X3
          @ X4 ) )
      | ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl171]) ).

thf(zip_derived_cl239,plain,
    ! [X2: $i > $i > $o,X3: $i,X4: $i] :
      ( ( X2 @ X3 @ X4 )
      | ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl237]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : ( lCorina_THFTYPE_i = Y1 )
        @ X1
        @ X0 )
      | ~ ( ^ [Y0: $i,Y1: $i] : ( lCorina_THFTYPE_i = Y1 )
          @ lChris_THFTYPE_i
          @ lCorina_THFTYPE_i ) ),
    inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl239]) ).

thf(zip_derived_cl366,plain,
    ! [X0: $i] :
      ( ( lCorina_THFTYPE_i = X0 )
      | ( lCorina_THFTYPE_i != lCorina_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl352]) ).

thf(zip_derived_cl367,plain,
    ! [X0: $i] : ( lCorina_THFTYPE_i = X0 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl366]) ).

thf(zip_derived_cl368,plain,
    ! [X0: $i] : ( lCorina_THFTYPE_i = X0 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl367]) ).

thf(zip_derived_cl368_001,plain,
    ! [X0: $i] : ( lCorina_THFTYPE_i = X0 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl367]) ).

thf(zip_derived_cl417,plain,
    ! [X0: $i,X1: $i] : ( X0 = X1 ),
    inference('sup+',[status(thm)],[zip_derived_cl368,zip_derived_cl368]) ).

thf(ax_019,axiom,
    ? [X: $i] :
      ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ).

thf(zip_derived_cl6,plain,
    ( ??
    @ ^ [Y0: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ Y0 ) ) ),
    inference(cnf,[status(esa)],[ax_019]) ).

thf(zip_derived_cl152,plain,
    ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ '#sk36' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl685,plain,
    ! [X0: $i] :
      ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl152]) ).

thf(ax_089,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).

thf(zip_derived_cl31,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(cnf,[status(esa)],[ax_089]) ).

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_cl1,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_cl134,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_cl1]) ).

thf(zip_derived_cl135,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( X4 @ Y0 @ Y1 )
              <=> ( X2 @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl136,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o] :
      ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 )
      | ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( X4 @ Y0 @ Y1 )
              <=> ( X2 @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl137,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( X4 @ X6 @ Y0 )
          <=> ( X2 @ Y0 @ X6 ) ) )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl136]) ).

thf(zip_derived_cl138,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i,X8: $i] :
      ( ( ( X4 @ X6 @ X8 )
      <=> ( X2 @ X8 @ X6 ) )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl139,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i,X8: $i] :
      ( ( ( X4 @ X6 @ X8 )
        = ( X2 @ X8 @ X6 ) )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl138]) ).

thf(zip_derived_cl3463,plain,
    ! [X0: $i,X1: $i] :
      ( ( husband_THFTYPE_IiioI @ X1 @ X0 )
      = ( wife_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl139]) ).

thf(zip_derived_cl239_002,plain,
    ! [X2: $i > $i > $o,X3: $i,X4: $i] :
      ( ( X2 @ X3 @ X4 )
      | ~ ( X2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl237]) ).

thf(ax_094,axiom,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ).

thf(zip_derived_cl32,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_094]) ).

thf(zip_derived_cl325,plain,
    ! [X0: $i,X1: $i] :
      ( ^ [Y0: $i,Y1: $i] : ( wife_THFTYPE_IiioI @ Y1 @ Y0 )
      @ X1
      @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl239,zip_derived_cl32]) ).

thf(zip_derived_cl380,plain,
    ! [X0: $i,X1: $i] : ( wife_THFTYPE_IiioI @ X0 @ X1 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl325]) ).

thf(zip_derived_cl3479,plain,
    ! [X0: $i,X1: $i] : ( husband_THFTYPE_IiioI @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl3463,zip_derived_cl380]) ).

thf(zip_derived_cl3584,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl685,zip_derived_cl3479]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR145^2 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Z57tclSrCD true
% 0.13/0.35  % Computer : n001.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 : Mon Aug 28 14:06:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.47/0.84  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.47/0.87  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 13.10/2.33  % Solved by lams/30_b.l.sh.
% 13.10/2.33  % done 286 iterations in 1.467s
% 13.10/2.33  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.10/2.33  % SZS output start Refutation
% See solution above
% 13.10/2.33  
% 13.10/2.33  
% 13.10/2.33  % Terminating...
% 13.12/2.40  % Runner terminated.
% 13.12/2.40  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------