↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM271_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.NzLUUyeeaG true

% Computer : n023.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 06:23:23 PM UTC 2026

% Result   : Theorem 1.34s 1.39s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   63 (  40 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  305 (  31   ~;  24   |;  14   &; 232   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :   42 (   0   ^;  42   !;   0   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vExp_type,type,
    vExp: $tType ).

thf(vOptAType_type,type,
    vOptAType: $tType ).

thf(vATMap_type,type,
    vATMap: $tType ).

thf(vAnsMap_type,type,
    vAnsMap: $tType ).

thf(vBinOpT_type,type,
    vBinOpT: $tType ).

thf(vAType_type,type,
    vAType: $tType ).

thf(vOptExp_type,type,
    vOptExp: $tType ).

thf(vbinop_type,type,
    vbinop: vExp > vBinOpT > vExp > vExp ).

thf(sk__9_type,type,
    sk__9: vExp ).

thf(vecheck_type,type,
    vecheck: vATMap > vExp > vOptAType ).

thf(ve2_type,type,
    ve2: vExp ).

thf(vreduceExp_type,type,
    vreduceExp: vExp > vAnsMap > vOptExp ).

thf(vtypeAM_type,type,
    vtypeAM: vAnsMap > vATMap ).

thf(sk__8_type,type,
    sk__8: vAType ).

thf(vsomeAType_type,type,
    vsomeAType: vAType > vOptAType ).

thf(visSomeExp_type,type,
    visSomeExp: vOptExp > $o ).

thf(vsomeExp_type,type,
    vsomeExp: vExp > vOptExp ).

thf(vexpIsValue_type,type,
    vexpIsValue: vExp > $o ).

thf(sk__7_type,type,
    sk__7: vBinOpT ).

thf(ve1_type,type,
    ve1: vExp ).

thf(sk__6_type,type,
    sk__6: vAnsMap ).

thf('reduceExpPreservation-binop-expIsValue-True-expIsValue-False',conjecture,
    ! [Vam: vAnsMap,Vbot: vBinOpT,Vat: vAType,Ver: vExp] :
      ( ( ~ ( vexpIsValue @ ve2 )
        & ( vexpIsValue @ ve1 )
        & ( ( vecheck @ ( vtypeAM @ Vam ) @ ( vbinop @ ve1 @ Vbot @ ve2 ) )
          = ( vsomeAType @ Vat ) )
        & ( ( vreduceExp @ ( vbinop @ ve1 @ Vbot @ ve2 ) @ Vam )
          = ( vsomeExp @ Ver ) ) )
     => ( ( vecheck @ ( vtypeAM @ Vam ) @ Ver )
        = ( vsomeAType @ Vat ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Vam: vAnsMap,Vbot: vBinOpT,Vat: vAType,Ver: vExp] :
        ( ( ~ ( vexpIsValue @ ve2 )
          & ( vexpIsValue @ ve1 )
          & ( ( vecheck @ ( vtypeAM @ Vam ) @ ( vbinop @ ve1 @ Vbot @ ve2 ) )
            = ( vsomeAType @ Vat ) )
          & ( ( vreduceExp @ ( vbinop @ ve1 @ Vbot @ ve2 ) @ Vam )
            = ( vsomeExp @ Ver ) ) )
       => ( ( vecheck @ ( vtypeAM @ Vam ) @ Ver )
          = ( vsomeAType @ Vat ) ) ),
    inference('cnf.neg',[status(esa)],[reduceExpPreservation-binop-expIsValue-True-expIsValue-False]) ).

thf(zip_derived_cl39,plain,
    ( ( vecheck @ ( vtypeAM @ sk__6 ) @ ( vbinop @ ve1 @ sk__7 @ ve2 ) )
    = ( vsomeAType @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-False',axiom,
    ! [Vam: vAnsMap,Vbot: vBinOpT,Vat: vAType,Ver: vExp] :
      ( ( ~ ( visSomeExp @ ( vreduceExp @ ve2 @ Vam ) )
        & ~ ( vexpIsValue @ ve2 )
        & ( vexpIsValue @ ve1 )
        & ( ( vecheck @ ( vtypeAM @ Vam ) @ ( vbinop @ ve1 @ Vbot @ ve2 ) )
          = ( vsomeAType @ Vat ) )
        & ( ( vreduceExp @ ( vbinop @ ve1 @ Vbot @ ve2 ) @ Vam )
          = ( vsomeExp @ Ver ) ) )
     => ( ( vecheck @ ( vtypeAM @ Vam ) @ Ver )
        = ( vsomeAType @ Vat ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: vAType,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
      ( ( ( vecheck @ ( vtypeAM @ X1 ) @ ( vbinop @ ve1 @ X2 @ ve2 ) )
       != ( vsomeAType @ X0 ) )
      | ~ ( vexpIsValue @ ve1 )
      | ( vexpIsValue @ ve2 )
      | ( visSomeExp @ ( vreduceExp @ ve2 @ X1 ) )
      | ( ( vreduceExp @ ( vbinop @ ve1 @ X2 @ ve2 ) @ X1 )
       != ( vsomeExp @ X3 ) )
      | ( ( vecheck @ ( vtypeAM @ X1 ) @ X3 )
        = ( vsomeAType @ X0 ) ) ),
    inference(cnf,[status(esa)],[reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-False]) ).

thf(zip_derived_cl38,plain,
    vexpIsValue @ ve1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ~ ( vexpIsValue @ ve2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1305,plain,
    ! [X0: vAType,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
      ( ( ( vecheck @ ( vtypeAM @ X1 ) @ ( vbinop @ ve1 @ X2 @ ve2 ) )
       != ( vsomeAType @ X0 ) )
      | ( visSomeExp @ ( vreduceExp @ ve2 @ X1 ) )
      | ( ( vreduceExp @ ( vbinop @ ve1 @ X2 @ ve2 ) @ X1 )
       != ( vsomeExp @ X3 ) )
      | ( ( vecheck @ ( vtypeAM @ X1 ) @ X3 )
        = ( vsomeAType @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl38,zip_derived_cl37]) ).

thf('reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True',axiom,
    ! [Vam: vAnsMap,Vbot: vBinOpT,Vat: vAType,Ver: vExp] :
      ( ( ( visSomeExp @ ( vreduceExp @ ve2 @ Vam ) )
        & ~ ( vexpIsValue @ ve2 )
        & ( vexpIsValue @ ve1 )
        & ( ( vecheck @ ( vtypeAM @ Vam ) @ ( vbinop @ ve1 @ Vbot @ ve2 ) )
          = ( vsomeAType @ Vat ) )
        & ( ( vreduceExp @ ( vbinop @ ve1 @ Vbot @ ve2 ) @ Vam )
          = ( vsomeExp @ Ver ) ) )
     => ( ( vecheck @ ( vtypeAM @ Vam ) @ Ver )
        = ( vsomeAType @ Vat ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: vAType,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
      ( ( ( vecheck @ ( vtypeAM @ X1 ) @ ( vbinop @ ve1 @ X2 @ ve2 ) )
       != ( vsomeAType @ X0 ) )
      | ~ ( vexpIsValue @ ve1 )
      | ( vexpIsValue @ ve2 )
      | ~ ( visSomeExp @ ( vreduceExp @ ve2 @ X1 ) )
      | ( ( vreduceExp @ ( vbinop @ ve1 @ X2 @ ve2 ) @ X1 )
       != ( vsomeExp @ X3 ) )
      | ( ( vecheck @ ( vtypeAM @ X1 ) @ X3 )
        = ( vsomeAType @ X0 ) ) ),
    inference(cnf,[status(esa)],[reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True]) ).

thf(zip_derived_cl38_001,plain,
    vexpIsValue @ ve1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_002,plain,
    ~ ( vexpIsValue @ ve2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl221,plain,
    ! [X0: vAType,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
      ( ( ( vecheck @ ( vtypeAM @ X1 ) @ ( vbinop @ ve1 @ X2 @ ve2 ) )
       != ( vsomeAType @ X0 ) )
      | ~ ( visSomeExp @ ( vreduceExp @ ve2 @ X1 ) )
      | ( ( vreduceExp @ ( vbinop @ ve1 @ X2 @ ve2 ) @ X1 )
       != ( vsomeExp @ X3 ) )
      | ( ( vecheck @ ( vtypeAM @ X1 ) @ X3 )
        = ( vsomeAType @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl38,zip_derived_cl37]) ).

thf(zip_derived_cl1306,plain,
    ! [X0: vAType,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
      ( ( ( vecheck @ ( vtypeAM @ X1 ) @ X3 )
        = ( vsomeAType @ X0 ) )
      | ( ( vreduceExp @ ( vbinop @ ve1 @ X2 @ ve2 ) @ X1 )
       != ( vsomeExp @ X3 ) )
      | ( ( vecheck @ ( vtypeAM @ X1 ) @ ( vbinop @ ve1 @ X2 @ ve2 ) )
       != ( vsomeAType @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1305,zip_derived_cl221]) ).

thf(zip_derived_cl1311,plain,
    ! [X0: vAType,X1: vExp] :
      ( ( ( vsomeAType @ sk__8 )
       != ( vsomeAType @ X0 ) )
      | ( ( vreduceExp @ ( vbinop @ ve1 @ sk__7 @ ve2 ) @ sk__6 )
       != ( vsomeExp @ X1 ) )
      | ( ( vecheck @ ( vtypeAM @ sk__6 ) @ X1 )
        = ( vsomeAType @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1306]) ).

thf(zip_derived_cl36,plain,
    ( ( vreduceExp @ ( vbinop @ ve1 @ sk__7 @ ve2 ) @ sk__6 )
    = ( vsomeExp @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1324,plain,
    ! [X0: vAType,X1: vExp] :
      ( ( ( vsomeAType @ sk__8 )
       != ( vsomeAType @ X0 ) )
      | ( ( vsomeExp @ sk__9 )
       != ( vsomeExp @ X1 ) )
      | ( ( vecheck @ ( vtypeAM @ sk__6 ) @ X1 )
        = ( vsomeAType @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1311,zip_derived_cl36]) ).

thf(zip_derived_cl35,plain,
    ( ( vecheck @ ( vtypeAM @ sk__6 ) @ sk__9 )
   != ( vsomeAType @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1623,plain,
    ! [X0: vAType] :
      ( ( ( vsomeAType @ X0 )
       != ( vsomeAType @ sk__8 ) )
      | ( ( vsomeExp @ sk__9 )
       != ( vsomeExp @ sk__9 ) )
      | ( ( vsomeAType @ sk__8 )
       != ( vsomeAType @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1324,zip_derived_cl35]) ).

thf(zip_derived_cl1638,plain,
    ! [X0: vAType] :
      ( ( vsomeAType @ X0 )
     != ( vsomeAType @ sk__8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1623]) ).

thf(zip_derived_cl1644,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl1638]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM271_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NzLUUyeeaG true
% 0.16/0.34  % Computer : n023.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 20:06:23 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
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.36  % Running in FO mode
% 0.32/0.93  % Total configuration time : 435
% 0.32/0.93  % Estimated wc time : 1092
% 0.32/0.93  % Estimated cpu time (7 cpus) : 156.0
% 0.32/1.00  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.32/1.01  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.20/1.04  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.20/1.04  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.20/1.04  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.20/1.05  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.20/1.06  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/1.39  % Solved by fo/fo4.sh.
% 1.34/1.39  % done 264 iterations in 0.309s
% 1.34/1.39  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/1.39  % SZS output start Refutation
% See solution above
% 1.34/1.39  
% 1.34/1.39  
% 1.34/1.39  % Terminating...
% 1.67/1.44  % Runner terminated.
% 1.67/1.46  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------