TSTP Solution File: CSR138^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR138^1 : 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.Lm0Ni2mEgw true

% Computer : n025.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 22:08:09 EDT 2023

% Result   : Theorem 2.28s 0.93s
% Output   : Refutation 2.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   40 (  19 unt;   8 typ;   0 def)
%            Number of atoms       :   41 (  22 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  170 (  25   ~;  27   |;   8   &; 106   @)
%                                         (   0 <=>;   0  =>;   0  <=;   4 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   32 (  32   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   9 con; 0-2 aty)
%            Number of variables   :  103 (  18   ^;  69   !;  16   ?; 103   :)

% Comments : 
%------------------------------------------------------------------------------
thf(parent_THFTYPE_IiioI_type,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(lBen_THFTYPE_i_type,type,
    lBen_THFTYPE_i: $i ).

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

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

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

thf(lAnna_THFTYPE_i_type,type,
    lAnna_THFTYPE_i: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(ax_004,axiom,
    parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).

thf(zip_derived_cl4,plain,
    parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_004]) ).

thf(con,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( ? [Z: $i,W: $i] :
          ( ( Q @ Z @ W )
        <~> $true )
      & ? [Z: $i,W: $i] :
          ( ( R @ Z @ W )
        <~> $true )
      & ( Q @ Y @ lAnna_THFTYPE_i )
      & ( R @ Y @ lBill_THFTYPE_i ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
        ( ? [Z: $i,W: $i] :
            ( ( Q @ Z @ W )
          <~> $true )
        & ? [Z: $i,W: $i] :
            ( ( R @ Z @ W )
          <~> $true )
        & ( Q @ Y @ lAnna_THFTYPE_i )
        & ( R @ Y @ lBill_THFTYPE_i ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X5: $i,X6: $i] :
      ( ( X0 @ X1 @ X2 )
      | ( X3 @ X4 @ X5 )
      | ~ ( X3 @ X6 @ lBill_THFTYPE_i )
      | ~ ( X0 @ X6 @ lAnna_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( X0 @ X1 @ lBill_THFTYPE_i )
      | ( X0 @ X3 @ X2 )
      | ( ^ [Y0: $i,Y1: $i] :
            ( ( Y0 = X1 )
            & ( Y1 = lAnna_THFTYPE_i ) )
        @ X5
        @ X4 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( X0 @ X1 @ lBill_THFTYPE_i )
      | ( X0 @ X3 @ X2 )
      | ( ( X5 = X1 )
        & ( X4 = lAnna_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl450,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X0 @ X1 @ X2 )
      | ~ ( X0 @ X3 @ lBill_THFTYPE_i )
      | ( X4 = X3 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl64]) ).

thf(ax_002,axiom,
    ? [X: $i,Y: $i] :
      ~ ( parent_THFTYPE_IiioI @ X @ Y ) ).

thf(zip_derived_cl2,plain,
    ~ ( parent_THFTYPE_IiioI @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[ax_002]) ).

thf(zip_derived_cl519,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( ^ [Y0: $i,Y1: $i] :
              ( parent_THFTYPE_IiioI
              @ ( ^ [Y2: $i,Y3: $i] : Y3
                @ Y0
                @ Y1 )
              @ ( ^ [Y2: $i,Y3: $i] : Y2
                @ Y0
                @ Y1 ) )
          @ X1
          @ lBill_THFTYPE_i ) ),
    inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl2]) ).

thf(zip_derived_cl589,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl519]) ).

thf(ax_007,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).

thf(zip_derived_cl7,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_007]) ).

thf(zip_derived_cl9_001,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $i > $o,X4: $i,X5: $i,X6: $i] :
      ( ( X0 @ X1 @ X2 )
      | ( X3 @ X4 @ X5 )
      | ~ ( X3 @ X6 @ lBill_THFTYPE_i )
      | ~ ( X0 @ X6 @ lAnna_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i,X4: $i,X5: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : ( X0 != Y1 )
        @ X1
        @ X0 )
      | ( X2 @ X4 @ X3 )
      | ~ ( X2 @ X5 @ lBill_THFTYPE_i )
      | ~ ( ^ [Y0: $i,Y1: $i] : ( X0 != Y1 )
          @ X5
          @ lAnna_THFTYPE_i ) ),
    inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X2: $i > $i > $o,X3: $i,X4: $i,X5: $i] :
      ( ( X0 != X0 )
      | ( X2 @ X4 @ X3 )
      | ~ ( X2 @ X5 @ lBill_THFTYPE_i )
      | ( X0 != lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X2: $i > $i > $o,X3: $i,X4: $i,X5: $i] :
      ( ( X2 @ X4 @ X3 )
      | ~ ( X2 @ X5 @ lBill_THFTYPE_i )
      | ( X0 != lAnna_THFTYPE_i ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X2: $i > $i > $o,X3: $i,X4: $i,X5: $i] :
      ( ( X2 @ X4 @ X3 )
      | ~ ( X2 @ X5 @ lBill_THFTYPE_i )
      | ( X0 = lAnna_THFTYPE_i ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl158,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = lAnna_THFTYPE_i )
      | ( ^ [Y0: $i,Y1: $i] :
            ( parent_THFTYPE_IiioI
            @ ( ^ [Y2: $i,Y3: $i] : Y2
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: $i,Y3: $i] : lAnna_THFTYPE_i
              @ Y0
              @ Y1 ) )
        @ X2
        @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl68]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i,X2: $i] :
      ( ( X0 = lAnna_THFTYPE_i )
      | ( parent_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl158]) ).

thf(zip_derived_cl595,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = lAnna_THFTYPE_i )
      | ( X0 = lAnna_THFTYPE_i ) ),
    inference('sup+',[status(thm)],[zip_derived_cl589,zip_derived_cl176]) ).

thf(zip_derived_cl676,plain,
    ! [X0: $i] : ( X0 = lAnna_THFTYPE_i ),
    inference(condensation,[status(thm)],[zip_derived_cl595]) ).

thf(zip_derived_cl676_002,plain,
    ! [X0: $i] : ( X0 = lAnna_THFTYPE_i ),
    inference(condensation,[status(thm)],[zip_derived_cl595]) ).

thf(zip_derived_cl681,plain,
    parent_THFTYPE_IiioI @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl676,zip_derived_cl676]) ).

thf(zip_derived_cl676_003,plain,
    ! [X0: $i] : ( X0 = lAnna_THFTYPE_i ),
    inference(condensation,[status(thm)],[zip_derived_cl595]) ).

thf(zip_derived_cl2_004,plain,
    ~ ( parent_THFTYPE_IiioI @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[ax_002]) ).

thf(zip_derived_cl676_005,plain,
    ! [X0: $i] : ( X0 = lAnna_THFTYPE_i ),
    inference(condensation,[status(thm)],[zip_derived_cl595]) ).

thf(zip_derived_cl676_006,plain,
    ! [X0: $i] : ( X0 = lAnna_THFTYPE_i ),
    inference(condensation,[status(thm)],[zip_derived_cl595]) ).

thf(zip_derived_cl679,plain,
    ~ ( parent_THFTYPE_IiioI @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl676,zip_derived_cl676]) ).

thf(zip_derived_cl690,plain,
    ! [X0: $i] :
      ~ ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i ),
    inference('sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl679]) ).

thf(zip_derived_cl773,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl690]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR138^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Lm0Ni2mEgw true
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 13:14:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.63  % Total configuration time : 828
% 0.22/0.63  % Estimated wc time : 1656
% 0.22/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 2.28/0.93  % Solved by lams/40_c_ic.sh.
% 2.28/0.93  % done 39 iterations in 0.175s
% 2.28/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.28/0.93  % SZS output start Refutation
% See solution above
% 2.28/0.93  
% 2.28/0.93  
% 2.28/0.93  % Terminating...
% 2.76/1.06  % Runner terminated.
% 2.76/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------