TSTP Solution File: CSR143^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR143^2 : 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.qaxCWa9GNn true

% Computer : n022.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 9.86s 1.84s
% Output   : Refutation 9.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   33 (   4 unt;  13 typ;   0 def)
%            Number of atoms       :   59 (   2 equ;   7 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  203 (   8   ~;   4   |;   0   &; 160   @)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   62 (  62   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  13 usr;   8 con; 0-6 aty)
%                                         (  16  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   42 (   5   ^;  23   !;   2   ?;  42   :)
%                                         (  12  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

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

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

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

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

thf(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

thf(ax_093,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).

thf(zip_derived_cl118,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    inference(cnf,[status(esa)],[ax_093]) ).

thf(ax_005,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_cl8,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_005]) ).

thf(zip_derived_cl9,plain,
    !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ inverse_THFTYPE_IIiioIIiioIoI ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ (<=>) ) ) ) ) ) @ '#C' ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl298,plain,
    ! [X2: $i > $i > $o] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ inverse_THFTYPE_IIiioIIiioIoI @ X2 ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ (<=>) ) ) ) ) @ ( '#C' @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl299,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 )
     => ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (<=>) ) @ X4 ) ) @ ( '#C' @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl298]) ).

thf(zip_derived_cl300,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o] :
      ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 )
      | ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (<=>) ) @ X4 ) ) @ ( '#C' @ X2 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl299]) ).

thf(zip_derived_cl301,plain,
    ! [X2: $i > $i > $o,X4: $i > $i > $o,X6: $i] :
      ( ( !! @ ( '#S' @ ( '#B' @ (<=>) @ ( X4 @ X6 ) ) @ ( '#C' @ X2 @ X6 ) ) )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl300]) ).

thf(zip_derived_cl302,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_cl301]) ).

thf(zip_derived_cl303,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_cl302]) ).

thf(ax_082,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).

thf(zip_derived_cl103,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(cnf,[status(esa)],[ax_082]) ).

thf(zip_derived_cl1078,plain,
    ! [X0: $i,X1: $i] :
      ( ( husband_THFTYPE_IiioI @ X1 @ X0 )
      = ( wife_THFTYPE_IiioI @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl103]) ).

thf(con,conjecture,
    ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl278,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ Y0 @ lCorina_THFTYPE_i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl279,plain,
    ~ ( ?? @ ( '#B' @ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) @ ( '#C' @ husband_THFTYPE_IiioI @ lCorina_THFTYPE_i ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl278]) ).

thf(zip_derived_cl356,plain,
    ! [X2: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X2 @ lCorina_THFTYPE_i ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl279]) ).

thf(zip_derived_cl1257,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl1078,zip_derived_cl356]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR143^2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qaxCWa9GNn true
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Aug 28 13:11:09 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 0.11/0.34  % Running portfolio for 300 s
% 0.11/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34  % Number of cores: 8
% 0.11/0.34  % Python version: Python 3.6.8
% 0.11/0.34  % Running in HO mode
% 0.44/0.60  % Total configuration time : 828
% 0.44/0.60  % Estimated wc time : 1656
% 0.44/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.48/0.72  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.76  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.50/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 9.86/1.84  % Solved by lams/40_b.comb.sh.
% 9.86/1.84  % done 327 iterations in 1.115s
% 9.86/1.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.86/1.84  % SZS output start Refutation
% See solution above
% 9.86/1.84  
% 9.86/1.84  
% 9.86/1.84  % Terminating...
% 10.76/2.02  % Runner terminated.
% 10.76/2.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------