↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM217_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ephac1MvDe true

% Computer : n031.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 : Tue May  5 06:23:18 PM UTC 2026

% Result   : Theorem 0.55s 0.80s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   75 (  36 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  321 (  37   ~;  36   |;  10   &; 229   @)
%                                         (   0 <=>;   5  =>;   4  <=;   0 <~>)
%            Maximal formula depth :   13 (  10 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vTerm_type,type,
    vTerm: $tType ).

thf(vTy_type,type,
    vTy: $tType ).

thf(vOptTerm_type,type,
    vOptTerm: $tType ).

thf(vptchecksimple_type,type,
    vptchecksimple: vTerm > vTy > $o ).

thf(sk__98_type,type,
    sk__98: vTerm ).

thf(vt3_type,type,
    vt3: vTerm ).

thf(vIfelse_type,type,
    vIfelse: vTerm > vTerm > vTerm > vTerm ).

thf(vsomeTerm_type,type,
    vsomeTerm: vTerm > vOptTerm ).

thf(vTrue_type,type,
    vTrue: vTerm ).

thf(sk__97_type,type,
    sk__97: vTy ).

thf(vFalse_type,type,
    vFalse: vTerm ).

thf(vreduce_type,type,
    vreduce: vTerm > vOptTerm ).

thf(vt1_type,type,
    vt1: vTerm ).

thf(vt2_type,type,
    vt2: vTerm ).

thf('Preservation-Ifelse',conjecture,
    ! [VT: vTy,Vtres: vTerm] :
      ( ( ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ VT )
        & ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
          = ( vsomeTerm @ Vtres ) ) )
     => ( vptchecksimple @ Vtres @ VT ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [VT: vTy,Vtres: vTerm] :
        ( ( ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ VT )
          & ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
            = ( vsomeTerm @ Vtres ) ) )
       => ( vptchecksimple @ Vtres @ VT ) ),
    inference('cnf.neg',[status(esa)],[Preservation-Ifelse]) ).

thf(zip_derived_cl269,plain,
    vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ sk__97,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('Preservation-Ifelse-False',axiom,
    ! [VT: vTy,Vtres: vTerm] :
      ( ( ( vt1 != vTrue )
        & ( vt1 = vFalse )
        & ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ VT )
        & ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
          = ( vsomeTerm @ Vtres ) ) )
     => ( vptchecksimple @ Vtres @ VT ) ) ).

thf(zip_derived_cl262,plain,
    ! [X0: vTy,X1: vTerm] :
      ( ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
      | ( vt1 != vFalse )
      | ( vt1 = vTrue )
      | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
       != ( vsomeTerm @ X1 ) )
      | ( vptchecksimple @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[Preservation-Ifelse-False]) ).

thf(zip_derived_cl270,plain,
    ( ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) )
   <= ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl262]) ).

thf(zip_derived_cl324,plain,
    ( ! [X0: vTerm] :
        ( ( vptchecksimple @ X0 @ sk__97 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X0 ) ) )
   <= ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl270]) ).

thf(zip_derived_cl268,plain,
    ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
    = ( vsomeTerm @ sk__98 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    ( ! [X0: vTerm] :
        ( ( vptchecksimple @ X0 @ sk__97 )
        | ( ( vsomeTerm @ sk__98 )
         != ( vsomeTerm @ X0 ) ) )
   <= ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl324,zip_derived_cl268]) ).

thf(zip_derived_cl267,plain,
    ~ ( vptchecksimple @ sk__98 @ sk__97 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl346,plain,
    ( ( ( vsomeTerm @ sk__98 )
     != ( vsomeTerm @ sk__98 ) )
   <= ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl267]) ).

thf('0',plain,
    ~ ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl346]) ).

thf('Preservation-Ifelse-True',axiom,
    ! [VT: vTy,Vtres: vTerm] :
      ( ( ( vt1 = vTrue )
        & ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ VT )
        & ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
          = ( vsomeTerm @ Vtres ) ) )
     => ( vptchecksimple @ Vtres @ VT ) ) ).

thf(zip_derived_cl265,plain,
    ! [X0: vTy,X1: vTerm] :
      ( ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
      | ( vt1 != vTrue )
      | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
       != ( vsomeTerm @ X1 ) )
      | ( vptchecksimple @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[Preservation-Ifelse-True]) ).

thf('1',plain,
    ( ( vt1 != vTrue )
    | ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl265]) ).

thf('2',plain,
    ( ( vt1 != vFalse )
    | ( vt1 = vTrue )
    | ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl262]) ).

thf('Preservation-Ifelse-t1',axiom,
    ! [VT: vTy,Vtres: vTerm] :
      ( ( ( vt1 != vTrue )
        & ( vt1 != vFalse )
        & ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ VT )
        & ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
          = ( vsomeTerm @ Vtres ) ) )
     => ( vptchecksimple @ Vtres @ VT ) ) ).

thf(zip_derived_cl266,plain,
    ! [X0: vTy,X1: vTerm] :
      ( ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
      | ( vt1 = vFalse )
      | ( vt1 = vTrue )
      | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
       != ( vsomeTerm @ X1 ) )
      | ( vptchecksimple @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[Preservation-Ifelse-t1]) ).

thf('3',plain,
    ( ( vt1 = vFalse )
    | ( vt1 = vTrue )
    | ! [X0: vTy,X1: vTerm] :
        ( ( vptchecksimple @ X1 @ X0 )
        | ~ ( vptchecksimple @ ( vIfelse @ vt1 @ vt2 @ vt3 ) @ X0 )
        | ( ( vreduce @ ( vIfelse @ vt1 @ vt2 @ vt3 ) )
         != ( vsomeTerm @ X1 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl266]) ).

thf(zip_derived_cl351,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM217_1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ephac1MvDe true
% 0.16/0.34  % Computer : n031.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Mon May  4 19:01:23 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.80  % Solved by fo/fo1_av.sh.
% 0.55/0.80  % done 63 iterations in 0.046s
% 0.55/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.80  % SZS output start Refutation
% See solution above
% 0.55/0.80  
% 0.55/0.80  
% 0.55/0.80  % Terminating...
% 0.55/0.85  % Runner terminated.
% 0.55/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------