TSTP Solution File: CSR144^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR144^1 : 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.qtJlXqLcNs true

% Computer : n004.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 22:08:13 EDT 2023

% Result   : Theorem 1.38s 0.78s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   38 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :  108 (   1 equ;   2 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  246 (  13   ~;   2   |;   0   &; 180   @)
%                                         (  10 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (   8 usr;   6 con; 0-2 aty)
%                                         (  23  !!;   7  ??;   0 @@+;   0 @@-)
%            Number of variables   :   62 (  30   ^;  28   !;   4   ?;  62   :)

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

thf(considers_THFTYPE_IiooI_type,type,
    considers_THFTYPE_IiooI: $i > $o > $o ).

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

thf('#sk1_type',type,
    '#sk1': $o > $i > $i ).

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

thf(lMax_THFTYPE_i_type,type,
    lMax_THFTYPE_i: $i ).

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

thf(believes_THFTYPE_IiooI_type,type,
    believes_THFTYPE_IiooI: $i > $o > $o ).

thf(ax_003,axiom,
    ! [X: $i] :
      ~ ? [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X @ lMax_THFTYPE_i ) ) ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( (~)
        @ ( ??
          @ ^ [Y1: $i] : ( holdsDuring_THFTYPE_IiooI @ Y1 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ Y0 @ lMax_THFTYPE_i ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax_003]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ~ ( ??
        @ ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ Y0 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ X4 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(ax_001,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_001]) ).

thf(zip_derived_cl11,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_cl12,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_cl11]) ).

thf(zip_derived_cl30,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_cl12]) ).

thf(zip_derived_cl32,plain,
    ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
   => ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl30]) ).

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

thf(zip_derived_cl0,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(cnf,[status(esa)],[ax]) ).

thf(zip_derived_cl48,plain,
    ( $true
   => ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
            <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl0]) ).

thf(zip_derived_cl49,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( husband_THFTYPE_IiioI @ Y0 @ Y1 )
          <=> ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl50,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( husband_THFTYPE_IiioI @ X2 @ Y0 )
        <=> ( wife_THFTYPE_IiioI @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl51,plain,
    ! [X2: $i,X4: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X4 )
    <=> ( wife_THFTYPE_IiioI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl52,plain,
    ! [X2: $i,X4: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X4 )
      = ( wife_THFTYPE_IiioI @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl53,plain,
    ! [X2: $i,X4: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ X4 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl52]) ).

thf(ax_002,axiom,
    ! [FORMULA: $o,AGENT: $i] :
      ( ( believes_THFTYPE_IiooI @ AGENT @ FORMULA )
     => ? [TIME: $i] : ( holdsDuring_THFTYPE_IiooI @ TIME @ ( considers_THFTYPE_IiooI @ AGENT @ FORMULA ) ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: $o] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( believes_THFTYPE_IiooI @ Y1 @ Y0 )
           => ( ??
              @ ^ [Y2: $i] : ( holdsDuring_THFTYPE_IiooI @ Y2 @ ( considers_THFTYPE_IiooI @ Y1 @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[ax_002]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $o] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( believes_THFTYPE_IiooI @ Y0 @ X2 )
         => ( ??
            @ ^ [Y1: $i] : ( holdsDuring_THFTYPE_IiooI @ Y1 @ ( considers_THFTYPE_IiooI @ Y0 @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $o,X4: $i] :
      ( ( believes_THFTYPE_IiooI @ X4 @ X2 )
     => ( ??
        @ ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ Y0 @ ( considers_THFTYPE_IiooI @ X4 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $o,X4: $i] :
      ( ~ ( believes_THFTYPE_IiooI @ X4 @ X2 )
      | ( ??
        @ ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ Y0 @ ( considers_THFTYPE_IiooI @ X4 @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $o,X4: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( '#sk1' @ X2 @ X4 ) @ ( considers_THFTYPE_IiooI @ X4 @ X2 ) )
      | ~ ( believes_THFTYPE_IiooI @ X4 @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl10]) ).

thf(con,conjecture,
    ? [Z: $i] :
      ~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Z ) ) ).

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

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( (~) @ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i] : ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl69,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl21]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qtJlXqLcNs true
% 0.13/0.34  % Computer : n004.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 08:30:22 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.34  % Running portfolio for 300 s
% 0.19/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in HO mode
% 0.19/0.61  % Total configuration time : 828
% 0.19/0.61  % Estimated wc time : 1656
% 0.19/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.29/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.29/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.29/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.29/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.29/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.29/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.78  % Solved by lams/20_acsne_simpl.sh.
% 1.38/0.78  % done 4 iterations in 0.023s
% 1.38/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.78  % SZS output start Refutation
% See solution above
% 1.38/0.78  
% 1.38/0.78  
% 1.38/0.78  % Terminating...
% 1.50/0.85  % Runner terminated.
% 1.50/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------