TSTP Solution File: LAT384+1 by Refute---2015

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Refute---2015
% Problem  : LAT384+1 : TPTP v6.4.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : isabelle tptp_refute %d %s

% Computer : n037.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Tue Apr 12 16:39:50 EDT 2016

% Result   : CounterSatisfiable 28.04s
% Output   : Assurance 0s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT384+1 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04  % Command  : isabelle tptp_refute %d %s
% 0.03/0.23  % Computer : n037.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Sun Apr 10 11:29:24 CDT 2016
% 0.03/0.23  % CPUTime  : 
% 6.29/5.88  > val it = (): unit
% 6.58/6.11  Trying to find a model that refutes: EX W0. bnd_aSupremumOfIn0 W0 bnd_xT bnd_xS
% 7.19/6.75  Unfolded term: [| ALL W0.
% 7.19/6.75        bnd_aFunction0 W0 -->
% 7.19/6.75        bnd_isMonotone0 W0 =
% 7.19/6.75        (ALL W1 W2.
% 7.19/6.75            bnd_aElementOf0 W1 (bnd_szDzozmdt0 W0) &
% 7.19/6.75            bnd_aElementOf0 W2 (bnd_szDzozmdt0 W0) -->
% 7.19/6.75            bnd_sdtlseqdt0 W1 W2 -->
% 7.19/6.75            bnd_sdtlseqdt0 (bnd_sdtlpdtrp0 W0 W1) (bnd_sdtlpdtrp0 W0 W2));
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aFunction0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aFixedPointOf0 W1 W0 =
% 7.19/6.75            (bnd_aElementOf0 W1 (bnd_szDzozmdt0 W0) &
% 7.19/6.75             bnd_sdtlpdtrp0 W0 W1 = W1));
% 7.19/6.75     ALL W0 W1.
% 7.19/6.75        bnd_aFunction0 W0 & bnd_aSet0 W1 -->
% 7.19/6.75        bnd_isOn0 W0 W1 =
% 7.19/6.75        (bnd_szDzozmdt0 W0 = bnd_szRzazndt0 W0 & bnd_szRzazndt0 W0 = W1);
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aCompleteLattice0 W0 =
% 7.19/6.75        (bnd_aSet0 W0 &
% 7.19/6.75         (ALL W1.
% 7.19/6.75             bnd_aSubsetOf0 W1 W0 -->
% 7.19/6.75             (EX W2.
% 7.19/6.75                 bnd_aInfimumOfIn0 W2 W1 W0 &
% 7.19/6.75                 (EX W3. bnd_aSupremumOfIn0 W3 W1 W0))));
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aSubsetOf0 W1 W0 -->
% 7.19/6.75            (ALL W2.
% 7.19/6.75                bnd_aSupremumOfIn0 W2 W1 W0 =
% 7.19/6.75                ((bnd_aElementOf0 W2 W0 & bnd_aUpperBoundOfIn0 W2 W1 W0) &
% 7.19/6.75                 (ALL W3.
% 7.19/6.75                     bnd_aUpperBoundOfIn0 W3 W1 W0 -->
% 7.19/6.75                     bnd_sdtlseqdt0 W2 W3))));
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aSubsetOf0 W1 W0 -->
% 7.19/6.75            (ALL W2.
% 7.19/6.75                bnd_aInfimumOfIn0 W2 W1 W0 =
% 7.19/6.75                ((bnd_aElementOf0 W2 W0 & bnd_aLowerBoundOfIn0 W2 W1 W0) &
% 7.19/6.75                 (ALL W3.
% 7.19/6.75                     bnd_aLowerBoundOfIn0 W3 W1 W0 -->
% 7.19/6.75                     bnd_sdtlseqdt0 W3 W2))));
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aSubsetOf0 W1 W0 -->
% 7.19/6.75            (ALL W2.
% 7.19/6.75                bnd_aUpperBoundOfIn0 W2 W1 W0 =
% 7.19/6.75                (bnd_aElementOf0 W2 W0 &
% 7.19/6.75                 (ALL W3. bnd_aElementOf0 W3 W1 --> bnd_sdtlseqdt0 W3 W2))));
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aSubsetOf0 W1 W0 -->
% 7.19/6.75            (ALL W2.
% 7.19/6.75                bnd_aLowerBoundOfIn0 W2 W1 W0 =
% 7.19/6.75                (bnd_aElementOf0 W2 W0 &
% 7.19/6.75                 (ALL W3. bnd_aElementOf0 W3 W1 --> bnd_sdtlseqdt0 W2 W3))));
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aSubsetOf0 W1 W0 =
% 7.19/6.75            (bnd_aSet0 W1 &
% 7.19/6.75             (ALL W2. bnd_aElementOf0 W2 W1 --> bnd_aElementOf0 W2 W0)));
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 --> bnd_isEmpty0 W0 = (~ (EX W1. bnd_aElementOf0 W1 W0));
% 7.19/6.75     bnd_aSubsetOf0 bnd_xT bnd_xS; bnd_xS = bnd_cS1142 bnd_xf;
% 7.19/6.75     ((bnd_aCompleteLattice0 bnd_xU & bnd_aFunction0 bnd_xf) &
% 7.19/6.75      bnd_isMonotone0 bnd_xf) &
% 7.19/6.75     bnd_isOn0 bnd_xf bnd_xU;
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aFunction0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aElementOf0 W1 (bnd_szDzozmdt0 W0) -->
% 7.19/6.75            bnd_aElementOf0 (bnd_sdtlpdtrp0 W0 W1) (bnd_szRzazndt0 W0));
% 7.19/6.75     ALL W0. bnd_aFunction0 W0 --> bnd_aSet0 (bnd_szRzazndt0 W0);
% 7.19/6.75     ALL W0. bnd_aFunction0 W0 --> bnd_aSet0 (bnd_szDzozmdt0 W0);
% 7.19/6.75     ALL W0. bnd_aFunction0 W0 --> True;
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aSubsetOf0 W1 W0 -->
% 7.19/6.75            (ALL W2 W3.
% 7.19/6.75                bnd_aInfimumOfIn0 W2 W1 W0 & bnd_aInfimumOfIn0 W3 W1 W0 -->
% 7.19/6.75                W2 = W3));
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 -->
% 7.19/6.75        (ALL W1.
% 7.19/6.75            bnd_aSubsetOf0 W1 W0 -->
% 7.19/6.75            (ALL W2 W3.
% 7.19/6.75                bnd_aSupremumOfIn0 W2 W1 W0 & bnd_aSupremumOfIn0 W3 W1 W0 -->
% 7.19/6.75                W2 = W3));
% 7.19/6.75     ALL W0 W1 W2.
% 7.19/6.75        (bnd_aElement0 W0 & bnd_aElement0 W1) & bnd_aElement0 W2 -->
% 7.19/6.75        bnd_sdtlseqdt0 W0 W1 & bnd_sdtlseqdt0 W1 W2 --> bnd_sdtlseqdt0 W0 W2;
% 7.19/6.75     ALL W0 W1.
% 7.19/6.75        bnd_aElement0 W0 & bnd_aElement0 W1 -->
% 7.19/6.75        bnd_sdtlseqdt0 W0 W1 & bnd_sdtlseqdt0 W1 W0 --> W0 = W1;
% 7.19/6.75     ALL W0. bnd_aElement0 W0 --> bnd_sdtlseqdt0 W0 W0;
% 7.19/6.75     ALL W0 W1.
% 7.19/6.75        bnd_aElement0 W0 & bnd_aElement0 W1 --> bnd_sdtlseqdt0 W0 W1 --> True;
% 7.19/6.75     ALL W0.
% 7.19/6.75        bnd_aSet0 W0 --> (ALL W1. bnd_aElementOf0 W1 W0 --> bnd_aElement0 W1);
% 7.19/6.75     ALL W0. bnd_aElement0 W0 --> True; ALL W0. bnd_aSet0 W0 --> True |]
% 7.19/6.75  ==> EX W0. bnd_aSupremumOfIn0 W0 bnd_xT bnd_xS
% 7.19/6.75  Adding axioms...
% 7.19/6.76  Typedef.type_definition_def
% 10.70/10.22   ...done.
% 10.70/10.22  Ground types: ?'b, TPTP_Interpret.ind
% 10.70/10.22  Translating term (sizes: 1, 1) ...
% 13.20/12.70  Invoking SAT solver...
% 13.20/12.70  No model exists.
% 13.20/12.70  Translating term (sizes: 2, 1) ...
% 16.31/15.88  Invoking SAT solver...
% 16.31/15.88  No model exists.
% 16.31/15.88  Translating term (sizes: 1, 2) ...
% 27.73/27.20  Invoking SAT solver...
% 28.04/27.56  Model found:
% 28.04/27.56  Size of types: ?'b: 1, TPTP_Interpret.ind: 2
% 28.04/27.56  bnd_aElement0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}
% 28.04/27.56  bnd_xU: ??.TPTP_Interpret.ind0
% 28.04/27.56  bnd_xf: ??.TPTP_Interpret.ind1
% 28.04/27.56  bnd_cS1142: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 28.04/27.56   (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}
% 28.04/27.56  bnd_xS: ??.TPTP_Interpret.ind1
% 28.04/27.56  bnd_xT: ??.TPTP_Interpret.ind1
% 28.04/27.56  bnd_isEmpty0: {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}
% 28.04/27.56  bnd_aLowerBoundOfIn0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 28.04/27.56     (??.TPTP_Interpret.ind1,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 28.04/27.56     (??.TPTP_Interpret.ind1,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})})}
% 28.04/27.56  bnd_aUpperBoundOfIn0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 28.04/27.56     (??.TPTP_Interpret.ind1,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 28.04/27.56     (??.TPTP_Interpret.ind1,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})})}
% 28.04/27.56  bnd_aSupremumOfIn0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 28.04/27.56     (??.TPTP_Interpret.ind1,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 28.04/27.56     (??.TPTP_Interpret.ind1,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})})}
% 28.04/27.56  bnd_aInfimumOfIn0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 28.04/27.56     (??.TPTP_Interpret.ind1,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 28.04/27.56     (??.TPTP_Interpret.ind1,
% 28.04/27.56      {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})})}
% 28.04/27.56  bnd_aSubsetOf0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)})}
% 28.04/27.56  bnd_aCompleteLattice0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}
% 28.04/27.56  bnd_szRzazndt0: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 28.04/27.56   (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 28.04/27.56  bnd_isOn0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 28.04/27.56  bnd_aSet0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}
% 28.04/27.56  bnd_aFixedPointOf0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 28.04/27.56  bnd_sdtlpdtrp0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 28.04/27.56     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 28.04/27.56     (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)})}
% 28.04/27.56  bnd_sdtlseqdt0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 28.04/27.56  bnd_szDzozmdt0: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 28.04/27.56   (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 28.04/27.56  bnd_aElementOf0: {(??.TPTP_Interpret.ind0,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 28.04/27.56   (??.TPTP_Interpret.ind1,
% 28.04/27.56    {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 28.04/27.56  bnd_isMonotone0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}
% 28.04/27.56  bnd_aFunction0: {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}
% 28.04/27.56  
% 28.04/27.56  % SZS status CounterSatisfiable
%------------------------------------------------------------------------------