TSTP Solution File: HWV095_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : HWV095_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DuXHnb4J5n true

% Computer : n013.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 : Thu Aug 31 03:05:49 EDT 2023

% Result   : Theorem 3.72s 1.24s
% Output   : Refutation 3.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   87 (  34 unt;  19 typ;   0 def)
%            Number of atoms       :  184 (  19 equ;   8 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  296 (  26   ~;   5   |;  21   &; 200   @)
%                                         (  27 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  17 usr;   9 con; 0-2 aty)
%                                         (  13  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   65 (  13   ^;  52   !;   0   ?;  65   :)

% Comments : 
%------------------------------------------------------------------------------
thf(state_type_type,type,
    state_type: $tType ).

thf(bitindex_type_type,type,
    bitindex_type: $tType ).

thf(bitIndex1_type,type,
    bitIndex1: bitindex_type ).

thf(v1004_type,type,
    v1004: state_type > $o ).

thf(v1007_type,type,
    v1007: state_type > bitindex_type > $o ).

thf('#sk1_type',type,
    '#sk1': state_type ).

thf(v995_type,type,
    v995: state_type > $o ).

thf(v1003_type,type,
    v1003: state_type > $o ).

thf(v998_type,type,
    v998: state_type > $o ).

thf(v996_type,type,
    v996: state_type > $o ).

thf(v999_type,type,
    v999: state_type > $o ).

thf(v1010_type,type,
    v1010: state_type > $o ).

thf(bitIndex0_type,type,
    bitIndex0: bitindex_type ).

thf(v4_type,type,
    v4: state_type > $o ).

thf(bitIndex4_type,type,
    bitIndex4: bitindex_type ).

thf(v1000_type,type,
    v1000: state_type > bitindex_type > $o ).

thf(bitIndex5_type,type,
    bitIndex5: bitindex_type ).

thf(v1001_type,type,
    v1001: state_type > $o ).

thf(reachableState_type,type,
    reachableState: state_type > $o ).

thf(addAssertion,conjecture,
    ! [VarCurr: state_type] :
      ( ( reachableState @ VarCurr )
     => ( v4 @ VarCurr ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [VarCurr: state_type] :
        ( ( reachableState @ VarCurr )
       => ( v4 @ VarCurr ) ),
    inference('cnf.neg',[status(esa)],[addAssertion]) ).

thf(zip_derived_cl45,plain,
    ~ ( !!
      @ ^ [Y0: state_type] :
          ( ( reachableState @ Y0 )
         => ( v4 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1265,plain,
    ~ ( ( reachableState @ '#sk1' )
     => ( v4 @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl1267,plain,
    ~ ( v4 @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1265]) ).

thf(writeUnaryOperator_113,axiom,
    ! [VarCurr: state_type] :
      ( ~ ( v4 @ VarCurr )
    <=> ( v995 @ VarCurr ) ) ).

thf(zip_derived_cl46,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( (~) @ ( v4 @ Y0 ) )
      <=> ( v995 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[writeUnaryOperator_113]) ).

thf(zip_derived_cl1269,plain,
    ! [X2: state_type] :
      ( ( (~) @ ( v4 @ X2 ) )
    <=> ( v995 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl1270,plain,
    ! [X2: state_type] :
      ( ( v4 @ X2 )
     != ( v995 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1269]) ).

thf(writeUnaryOperator_112,axiom,
    ! [VarCurr: state_type] :
      ( ~ ( v995 @ VarCurr )
    <=> ( v996 @ VarCurr ) ) ).

thf(zip_derived_cl47,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( (~) @ ( v995 @ Y0 ) )
      <=> ( v996 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[writeUnaryOperator_112]) ).

thf(zip_derived_cl1274,plain,
    ! [X2: state_type] :
      ( ( (~) @ ( v995 @ X2 ) )
    <=> ( v996 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl1275,plain,
    ! [X2: state_type] :
      ( ( v995 @ X2 )
     != ( v996 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1274]) ).

thf(writeUnaryOperator_111,axiom,
    ! [VarCurr: state_type] :
      ( ~ ( v998 @ VarCurr )
    <=> ( v999 @ VarCurr ) ) ).

thf(zip_derived_cl50,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( (~) @ ( v998 @ Y0 ) )
      <=> ( v999 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[writeUnaryOperator_111]) ).

thf(zip_derived_cl1291,plain,
    ! [X2: state_type] :
      ( ( (~) @ ( v998 @ X2 ) )
    <=> ( v999 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl1292,plain,
    ! [X2: state_type] :
      ( ( v998 @ X2 )
     != ( v999 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1291]) ).

thf(writeBinaryOperatorEqualRangesSingleBits_170,axiom,
    ! [VarCurr: state_type] :
      ( ( v996 @ VarCurr )
    <=> ( ( v1010 @ VarCurr )
        & ( v998 @ VarCurr ) ) ) ).

thf(zip_derived_cl48,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( v996 @ Y0 )
      <=> ( ( v1010 @ Y0 )
          & ( v998 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorEqualRangesSingleBits_170]) ).

thf(zip_derived_cl1279,plain,
    ! [X2: state_type] :
      ( ( v996 @ X2 )
    <=> ( ( v1010 @ X2 )
        & ( v998 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl1280,plain,
    ! [X2: state_type] :
      ( ( v996 @ X2 )
      = ( ( v1010 @ X2 )
        & ( v998 @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1279]) ).

thf(writeBinaryOperatorShiftedRanges_80,axiom,
    ! [VarCurr: state_type] :
      ( ( v1010 @ VarCurr )
    <=> ( ( v1000 @ VarCurr @ bitIndex1 )
        | ( v1000 @ VarCurr @ bitIndex0 ) ) ) ).

thf(zip_derived_cl49,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( v1010 @ Y0 )
      <=> ( ( v1000 @ Y0 @ bitIndex1 )
          | ( v1000 @ Y0 @ bitIndex0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorShiftedRanges_80]) ).

thf(zip_derived_cl1285,plain,
    ! [X2: state_type] :
      ( ( v1010 @ X2 )
    <=> ( ( v1000 @ X2 @ bitIndex1 )
        | ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl1286,plain,
    ! [X2: state_type] :
      ( ( v1010 @ X2 )
      = ( ( v1000 @ X2 @ bitIndex1 )
        | ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1285]) ).

thf(addAssignment_244,axiom,
    ! [VarCurr: state_type] : ( v1000 @ VarCurr @ bitIndex1 ) ).

thf(zip_derived_cl53,plain,
    ( !!
    @ ^ [Y0: state_type] : ( v1000 @ Y0 @ bitIndex1 ) ),
    inference(cnf,[status(esa)],[addAssignment_244]) ).

thf(zip_derived_cl1370,plain,
    ! [X2: state_type] : ( v1000 @ X2 @ bitIndex1 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl1371,plain,
    ! [X2: state_type] :
      ( ( v1010 @ X2 )
      = ( $true
        | ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1286,zip_derived_cl1370]) ).

thf(zip_derived_cl1372,plain,
    ! [X2: state_type] : ( v1010 @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1371]) ).

thf(zip_derived_cl1375,plain,
    ! [X2: state_type] :
      ( ( v996 @ X2 )
      = ( $true
        & ( v998 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1280,zip_derived_cl1372]) ).

thf(zip_derived_cl1376,plain,
    ! [X2: state_type] :
      ( ( v996 @ X2 )
      = ( v998 @ X2 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1375]) ).

thf(zip_derived_cl1384,plain,
    ! [X2: state_type] :
      ( ( v996 @ X2 )
     != ( v999 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1292,zip_derived_cl1376]) ).

thf(writeBinaryOperatorShiftedRanges_78,axiom,
    ! [VarCurr: state_type] :
      ( ( v1001 @ VarCurr )
    <=> ( ( v1007 @ VarCurr @ bitIndex5 )
        & ( v1003 @ VarCurr ) ) ) ).

thf(zip_derived_cl54,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( v1001 @ Y0 )
      <=> ( ( v1007 @ Y0 @ bitIndex5 )
          & ( v1003 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorShiftedRanges_78]) ).

thf(zip_derived_cl1399,plain,
    ! [X2: state_type] :
      ( ( v1001 @ X2 )
    <=> ( ( v1007 @ X2 @ bitIndex5 )
        & ( v1003 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl1400,plain,
    ! [X2: state_type] :
      ( ( v1001 @ X2 )
      = ( ( v1007 @ X2 @ bitIndex5 )
        & ( v1003 @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1399]) ).

thf(addAssignment_245,axiom,
    ! [VarCurr: state_type] :
      ( ( v1000 @ VarCurr @ bitIndex0 )
    <=> ( v1001 @ VarCurr ) ) ).

thf(zip_derived_cl52,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( v1000 @ Y0 @ bitIndex0 )
      <=> ( v1001 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[addAssignment_245]) ).

thf(zip_derived_cl1378,plain,
    ! [X2: state_type] :
      ( ( v1000 @ X2 @ bitIndex0 )
    <=> ( v1001 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl1379,plain,
    ! [X2: state_type] :
      ( ( v1000 @ X2 @ bitIndex0 )
      = ( v1001 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1378]) ).

thf(writeBinaryOperatorShiftedRanges_79,axiom,
    ! [VarCurr: state_type] :
      ( ( v999 @ VarCurr )
    <=> ( ( v1000 @ VarCurr @ bitIndex1 )
        & ( v1000 @ VarCurr @ bitIndex0 ) ) ) ).

thf(zip_derived_cl51,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( v999 @ Y0 )
      <=> ( ( v1000 @ Y0 @ bitIndex1 )
          & ( v1000 @ Y0 @ bitIndex0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorShiftedRanges_79]) ).

thf(zip_derived_cl1361,plain,
    ! [X2: state_type] :
      ( ( v999 @ X2 )
    <=> ( ( v1000 @ X2 @ bitIndex1 )
        & ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl1362,plain,
    ! [X2: state_type] :
      ( ( v999 @ X2 )
      = ( ( v1000 @ X2 @ bitIndex1 )
        & ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1361]) ).

thf(zip_derived_cl1370_001,plain,
    ! [X2: state_type] : ( v1000 @ X2 @ bitIndex1 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl1373,plain,
    ! [X2: state_type] :
      ( ( v999 @ X2 )
      = ( $true
        & ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1362,zip_derived_cl1370]) ).

thf(zip_derived_cl1374,plain,
    ! [X2: state_type] :
      ( ( v999 @ X2 )
      = ( v1000 @ X2 @ bitIndex0 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1373]) ).

thf(zip_derived_cl1394,plain,
    ! [X2: state_type] :
      ( ( v999 @ X2 )
      = ( v1001 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1379,zip_derived_cl1374]) ).

thf(zip_derived_cl1409,plain,
    ! [X2: state_type] :
      ( ( v999 @ X2 )
      = ( ( v1007 @ X2 @ bitIndex5 )
        & ( v1003 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1400,zip_derived_cl1394]) ).

thf(addZeroExtensionConstraint_3,axiom,
    ! [VarCurr: state_type] :
      ~ ( v1007 @ VarCurr @ bitIndex5 ) ).

thf(zip_derived_cl62,plain,
    ( !!
    @ ^ [Y0: state_type] : ( (~) @ ( v1007 @ Y0 @ bitIndex5 ) ) ),
    inference(cnf,[status(esa)],[addZeroExtensionConstraint_3]) ).

thf(zip_derived_cl1444,plain,
    ! [X2: state_type] :
      ~ ( v1007 @ X2 @ bitIndex5 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl62]) ).

thf(writeBinaryOperatorShiftedRanges_77,axiom,
    ! [VarCurr: state_type] :
      ( ( v1003 @ VarCurr )
    <=> ( ( v1007 @ VarCurr @ bitIndex4 )
        & ( v1004 @ VarCurr ) ) ) ).

thf(zip_derived_cl55,plain,
    ( !!
    @ ^ [Y0: state_type] :
        ( ( v1003 @ Y0 )
      <=> ( ( v1007 @ Y0 @ bitIndex4 )
          & ( v1004 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorShiftedRanges_77]) ).

thf(zip_derived_cl1412,plain,
    ! [X2: state_type] :
      ( ( v1003 @ X2 )
    <=> ( ( v1007 @ X2 @ bitIndex4 )
        & ( v1004 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl1413,plain,
    ! [X2: state_type] :
      ( ( v1003 @ X2 )
      = ( ( v1007 @ X2 @ bitIndex4 )
        & ( v1004 @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1412]) ).

thf(addZeroExtensionConstraint_4,axiom,
    ! [VarCurr: state_type] :
      ~ ( v1007 @ VarCurr @ bitIndex4 ) ).

thf(zip_derived_cl61,plain,
    ( !!
    @ ^ [Y0: state_type] : ( (~) @ ( v1007 @ Y0 @ bitIndex4 ) ) ),
    inference(cnf,[status(esa)],[addZeroExtensionConstraint_4]) ).

thf(zip_derived_cl1435,plain,
    ! [X2: state_type] :
      ~ ( v1007 @ X2 @ bitIndex4 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl1436,plain,
    ! [X2: state_type] :
      ( ( v1003 @ X2 )
      = ( $false
        & ( v1004 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1413,zip_derived_cl1435]) ).

thf(zip_derived_cl1437,plain,
    ! [X2: state_type] :
      ~ ( v1003 @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1436]) ).

thf(zip_derived_cl1512,plain,
    ! [X2: state_type] :
      ( ( v999 @ X2 )
      = ( $false
        & $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl1409,zip_derived_cl1444,zip_derived_cl1437]) ).

thf(zip_derived_cl1513,plain,
    ! [X2: state_type] :
      ~ ( v999 @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1512]) ).

thf(zip_derived_cl1515,plain,
    ! [X2: state_type] : ( v996 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl1384,zip_derived_cl1513]) ).

thf(zip_derived_cl1529,plain,
    ! [X2: state_type] :
      ~ ( v995 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl1275,zip_derived_cl1515]) ).

thf(zip_derived_cl1533,plain,
    ! [X2: state_type] : ( v4 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl1270,zip_derived_cl1529]) ).

thf(zip_derived_cl1535,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1267,zip_derived_cl1533]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : HWV095_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DuXHnb4J5n true
% 0.13/0.34  % Computer : n013.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 : Tue Aug 29 14:53:16 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.59  % Total configuration time : 435
% 0.19/0.59  % Estimated wc time : 1092
% 0.19/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.81/0.87  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.72/1.24  % Solved by fo/fo1_lcnf.sh.
% 3.72/1.24  % done 407 iterations in 0.341s
% 3.72/1.24  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.72/1.24  % SZS output start Refutation
% See solution above
% 3.72/1.24  
% 3.72/1.24  
% 3.72/1.24  % Terminating...
% 4.84/1.34  % Runner terminated.
% 4.84/1.35  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------