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. Released v6.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qbFtBODSDq true

% Computer : n002.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 03:05:50 EDT 2023

% Result   : Theorem 1.68s 1.08s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   87 (  31 unt;  17 typ;   0 def)
%            Number of atoms       :  186 (  16 equ;   7 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  309 (  30   ~;  13   |;  21   &; 202   @)
%                                         (  27 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  17 usr;   9 con; 0-2 aty)
%                                         (  12  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   62 (  12   ^;  50   !;   0   ?;  62   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bitIndex4_type,type,
    bitIndex4: $i ).

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

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

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

thf('#sk1_type',type,
    '#sk1': $i ).

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

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

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

thf(bitIndex1_type,type,
    bitIndex1: $i ).

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

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

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

thf(bitIndex0_type,type,
    bitIndex0: $i ).

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

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

thf(bitIndex5_type,type,
    bitIndex5: $i ).

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

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

thf(zip_derived_cl39,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( (~) @ ( v998 @ Y0 ) )
      <=> ( v999 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[writeUnaryOperator_111]) ).

thf(zip_derived_cl1247,plain,
    ! [X2: $i] :
      ( ( (~) @ ( v998 @ X2 ) )
    <=> ( v999 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl1248,plain,
    ! [X2: $i] :
      ( ( v998 @ X2 )
     != ( v999 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1247]) ).

thf(zip_derived_cl1249,plain,
    ! [X2: $i] :
      ( ( v998 @ X2 )
      | ( v999 @ X2 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl1248]) ).

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

thf(zip_derived_cl37,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( v996 @ Y0 )
      <=> ( ( v1010 @ Y0 )
          & ( v998 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorEqualRangesSingleBits_170]) ).

thf(zip_derived_cl1235,plain,
    ! [X2: $i] :
      ( ( v996 @ X2 )
    <=> ( ( v1010 @ X2 )
        & ( v998 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl1236,plain,
    ! [X2: $i] :
      ( ( v996 @ X2 )
      = ( ( v1010 @ X2 )
        & ( v998 @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1235]) ).

thf(zip_derived_cl1237,plain,
    ! [X2: $i] :
      ( ( v996 @ X2 )
      | ~ ( ( v1010 @ X2 )
          & ( v998 @ X2 ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl1236]) ).

thf(zip_derived_cl1357,plain,
    ! [X2: $i] :
      ( ~ ( v1010 @ X2 )
      | ~ ( v998 @ X2 )
      | ( v996 @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1237]) ).

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

thf(zip_derived_cl35,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( (~) @ ( v4 @ Y0 ) )
      <=> ( v995 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[writeUnaryOperator_113]) ).

thf(zip_derived_cl1225,plain,
    ! [X2: $i] :
      ( ( (~) @ ( v4 @ X2 ) )
    <=> ( v995 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl1226,plain,
    ! [X2: $i] :
      ( ( v4 @ X2 )
     != ( v995 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1225]) ).

thf(zip_derived_cl1227,plain,
    ! [X2: $i] :
      ( ( v4 @ X2 )
      | ( v995 @ X2 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl1226]) ).

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

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

thf(zip_derived_cl34,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( reachableState @ Y0 )
         => ( v4 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1221,plain,
    ~ ( ( reachableState @ '#sk1' )
     => ( v4 @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl1223,plain,
    ~ ( v4 @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1221]) ).

thf(zip_derived_cl1273,plain,
    v995 @ '#sk1',
    inference('s_sup-',[status(thm)],[zip_derived_cl1227,zip_derived_cl1223]) ).

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

thf(zip_derived_cl36,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( (~) @ ( v995 @ Y0 ) )
      <=> ( v996 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[writeUnaryOperator_112]) ).

thf(zip_derived_cl1230,plain,
    ! [X2: $i] :
      ( ( (~) @ ( v995 @ X2 ) )
    <=> ( v996 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl1231,plain,
    ! [X2: $i] :
      ( ( v995 @ X2 )
     != ( v996 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1230]) ).

thf(zip_derived_cl1274,plain,
    ~ ( v996 @ '#sk1' ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1273,zip_derived_cl1231]) ).

thf(zip_derived_cl1359,plain,
    ( ~ ( v998 @ '#sk1' )
    | ~ ( v1010 @ '#sk1' ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1357,zip_derived_cl1274]) ).

thf(zip_derived_cl1360,plain,
    ( ( v999 @ '#sk1' )
    | ~ ( v1010 @ '#sk1' ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1249,zip_derived_cl1359]) ).

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

thf(zip_derived_cl38,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( v1010 @ Y0 )
      <=> ( ( v1000 @ Y0 @ bitIndex1 )
          | ( v1000 @ Y0 @ bitIndex0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorShiftedRanges_80]) ).

thf(zip_derived_cl1241,plain,
    ! [X2: $i] :
      ( ( v1010 @ X2 )
    <=> ( ( v1000 @ X2 @ bitIndex1 )
        | ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl1242,plain,
    ! [X2: $i] :
      ( ( v1010 @ X2 )
      = ( ( v1000 @ X2 @ bitIndex1 )
        | ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1241]) ).

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

thf(zip_derived_cl41,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( v1000 @ Y0 @ bitIndex0 )
      <=> ( v1001 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[addAssignment_245]) ).

thf(zip_derived_cl1258,plain,
    ! [X2: $i] :
      ( ( v1000 @ X2 @ bitIndex0 )
    <=> ( v1001 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl1259,plain,
    ! [X2: $i] :
      ( ( v1000 @ X2 @ bitIndex0 )
      = ( v1001 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1258]) ).

thf(zip_derived_cl1260,plain,
    ! [X2: $i] :
      ( ( v1010 @ X2 )
      = ( ( v1000 @ X2 @ bitIndex1 )
        | ( v1001 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1242,zip_derived_cl1259]) ).

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

thf(zip_derived_cl42,plain,
    ( !!
    @ ^ [Y0: $i] : ( v1000 @ Y0 @ bitIndex1 ) ),
    inference(cnf,[status(esa)],[addAssignment_244]) ).

thf(zip_derived_cl1265,plain,
    ! [X2: $i] : ( v1000 @ X2 @ bitIndex1 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).

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

thf(zip_derived_cl43,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( v1001 @ Y0 )
      <=> ( ( v1007 @ Y0 @ bitIndex5 )
          & ( v1003 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorShiftedRanges_78]) ).

thf(zip_derived_cl1266,plain,
    ! [X2: $i] :
      ( ( v1001 @ X2 )
    <=> ( ( v1007 @ X2 @ bitIndex5 )
        & ( v1003 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl1267,plain,
    ! [X2: $i] :
      ( ( v1001 @ X2 )
      = ( ( v1007 @ X2 @ bitIndex5 )
        & ( v1003 @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1266]) ).

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

thf(zip_derived_cl44,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( v1003 @ Y0 )
      <=> ( ( v1007 @ Y0 @ bitIndex4 )
          & ( v1004 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorShiftedRanges_77]) ).

thf(zip_derived_cl1275,plain,
    ! [X2: $i] :
      ( ( v1003 @ X2 )
    <=> ( ( v1007 @ X2 @ bitIndex4 )
        & ( v1004 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl1276,plain,
    ! [X2: $i] :
      ( ( v1003 @ X2 )
      = ( ( v1007 @ X2 @ bitIndex4 )
        & ( v1004 @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1275]) ).

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

thf(zip_derived_cl50,plain,
    ( !!
    @ ^ [Y0: $i] : ( (~) @ ( v1007 @ Y0 @ bitIndex4 ) ) ),
    inference(cnf,[status(esa)],[addZeroExtensionConstraint_4]) ).

thf(zip_derived_cl1368,plain,
    ! [X2: $i] :
      ~ ( v1007 @ X2 @ bitIndex4 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl1369,plain,
    ! [X2: $i] :
      ( ( v1003 @ X2 )
      = ( $false
        & ( v1004 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1276,zip_derived_cl1368]) ).

thf(zip_derived_cl1370,plain,
    ! [X2: $i] :
      ~ ( v1003 @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1369]) ).

thf(zip_derived_cl1371,plain,
    ! [X2: $i] :
      ( ( v1001 @ X2 )
      = ( ( v1007 @ X2 @ bitIndex5 )
        & $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl1267,zip_derived_cl1370]) ).

thf(zip_derived_cl1372,plain,
    ! [X2: $i] :
      ~ ( v1001 @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1371]) ).

thf(zip_derived_cl1455,plain,
    ! [X2: $i] :
      ( ( v1010 @ X2 )
      = ( $true
        | $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl1260,zip_derived_cl1265,zip_derived_cl1372]) ).

thf(zip_derived_cl1456,plain,
    ! [X2: $i] : ( v1010 @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1455]) ).

thf(zip_derived_cl1461,plain,
    v999 @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl1360,zip_derived_cl1456]) ).

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

thf(zip_derived_cl40,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( v999 @ Y0 )
      <=> ( ( v1000 @ Y0 @ bitIndex1 )
          & ( v1000 @ Y0 @ bitIndex0 ) ) ) ),
    inference(cnf,[status(esa)],[writeBinaryOperatorShiftedRanges_79]) ).

thf(zip_derived_cl1252,plain,
    ! [X2: $i] :
      ( ( v999 @ X2 )
    <=> ( ( v1000 @ X2 @ bitIndex1 )
        & ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl1253,plain,
    ! [X2: $i] :
      ( ( v999 @ X2 )
      = ( ( v1000 @ X2 @ bitIndex1 )
        & ( v1000 @ X2 @ bitIndex0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1252]) ).

thf(zip_derived_cl1259_001,plain,
    ! [X2: $i] :
      ( ( v1000 @ X2 @ bitIndex0 )
      = ( v1001 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1258]) ).

thf(zip_derived_cl1261,plain,
    ! [X2: $i] :
      ( ( v999 @ X2 )
      = ( ( v1000 @ X2 @ bitIndex1 )
        & ( v1001 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1253,zip_derived_cl1259]) ).

thf(zip_derived_cl1265_002,plain,
    ! [X2: $i] : ( v1000 @ X2 @ bitIndex1 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl1372_003,plain,
    ! [X2: $i] :
      ~ ( v1001 @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1371]) ).

thf(zip_derived_cl1548,plain,
    ! [X2: $i] :
      ( ( v999 @ X2 )
      = ( $true
        & $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl1261,zip_derived_cl1265,zip_derived_cl1372]) ).

thf(zip_derived_cl1549,plain,
    ! [X2: $i] :
      ~ ( v999 @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1548]) ).

thf(zip_derived_cl1552,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl1461,zip_derived_cl1549]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HWV095+1 : TPTP v8.1.2. Released v6.1.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qbFtBODSDq true
% 0.13/0.34  % Computer : n002.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 17:37:05 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.30/0.83  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.46/0.94  % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 1.68/1.08  % Solved by fo/fo1_lcnf.sh.
% 1.68/1.08  % done 374 iterations in 0.240s
% 1.68/1.08  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.68/1.08  % SZS output start Refutation
% See solution above
% 1.68/1.08  
% 1.68/1.08  
% 1.68/1.08  % Terminating...
% 1.68/1.14  % Runner terminated.
% 2.05/1.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------