TSTP Solution File: LAT387+1 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : LAT387+1 : TPTP v6.4.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n108.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 29.15s
% 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 : LAT387+1 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04 % Command : isabelle tptp_refute %d %s
% 0.03/0.23 % Computer : n108.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 11:34:09 CDT 2016
% 0.03/0.23 % CPUTime :
% 6.30/5.84 > val it = (): unit
% 6.51/6.08 Trying to find a model that refutes: bnd_aFixedPointOf0 bnd_xp bnd_xf & bnd_aSupremumOfIn0 bnd_xp bnd_xT bnd_xS
% 7.31/6.84 Unfolded term: [| ALL W0.
% 7.31/6.84 bnd_aFunction0 W0 -->
% 7.31/6.84 bnd_isMonotone0 W0 =
% 7.31/6.84 (ALL W1 W2.
% 7.31/6.84 bnd_aElementOf0 W1 (bnd_szDzozmdt0 W0) &
% 7.31/6.84 bnd_aElementOf0 W2 (bnd_szDzozmdt0 W0) -->
% 7.31/6.84 bnd_sdtlseqdt0 W1 W2 -->
% 7.31/6.84 bnd_sdtlseqdt0 (bnd_sdtlpdtrp0 W0 W1) (bnd_sdtlpdtrp0 W0 W2));
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aFunction0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aFixedPointOf0 W1 W0 =
% 7.31/6.84 (bnd_aElementOf0 W1 (bnd_szDzozmdt0 W0) &
% 7.31/6.84 bnd_sdtlpdtrp0 W0 W1 = W1));
% 7.31/6.84 ALL W0 W1.
% 7.31/6.84 bnd_aFunction0 W0 & bnd_aSet0 W1 -->
% 7.31/6.84 bnd_isOn0 W0 W1 =
% 7.31/6.84 (bnd_szDzozmdt0 W0 = bnd_szRzazndt0 W0 & bnd_szRzazndt0 W0 = W1);
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aCompleteLattice0 W0 =
% 7.31/6.84 (bnd_aSet0 W0 &
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aSubsetOf0 W1 W0 -->
% 7.31/6.84 (EX W2.
% 7.31/6.84 bnd_aInfimumOfIn0 W2 W1 W0 &
% 7.31/6.84 (EX W3. bnd_aSupremumOfIn0 W3 W1 W0))));
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aSubsetOf0 W1 W0 -->
% 7.31/6.84 (ALL W2.
% 7.31/6.84 bnd_aSupremumOfIn0 W2 W1 W0 =
% 7.31/6.84 ((bnd_aElementOf0 W2 W0 & bnd_aUpperBoundOfIn0 W2 W1 W0) &
% 7.31/6.84 (ALL W3.
% 7.31/6.84 bnd_aUpperBoundOfIn0 W3 W1 W0 -->
% 7.31/6.84 bnd_sdtlseqdt0 W2 W3))));
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aSubsetOf0 W1 W0 -->
% 7.31/6.84 (ALL W2.
% 7.31/6.84 bnd_aInfimumOfIn0 W2 W1 W0 =
% 7.31/6.84 ((bnd_aElementOf0 W2 W0 & bnd_aLowerBoundOfIn0 W2 W1 W0) &
% 7.31/6.84 (ALL W3.
% 7.31/6.84 bnd_aLowerBoundOfIn0 W3 W1 W0 -->
% 7.31/6.84 bnd_sdtlseqdt0 W3 W2))));
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aSubsetOf0 W1 W0 -->
% 7.31/6.84 (ALL W2.
% 7.31/6.84 bnd_aUpperBoundOfIn0 W2 W1 W0 =
% 7.31/6.84 (bnd_aElementOf0 W2 W0 &
% 7.31/6.84 (ALL W3. bnd_aElementOf0 W3 W1 --> bnd_sdtlseqdt0 W3 W2))));
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aSubsetOf0 W1 W0 -->
% 7.31/6.84 (ALL W2.
% 7.31/6.84 bnd_aLowerBoundOfIn0 W2 W1 W0 =
% 7.31/6.84 (bnd_aElementOf0 W2 W0 &
% 7.31/6.84 (ALL W3. bnd_aElementOf0 W3 W1 --> bnd_sdtlseqdt0 W2 W3))));
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aSubsetOf0 W1 W0 =
% 7.31/6.84 (bnd_aSet0 W1 &
% 7.31/6.84 (ALL W2. bnd_aElementOf0 W2 W1 --> bnd_aElementOf0 W2 W0)));
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 --> bnd_isEmpty0 W0 = (~ (EX W1. bnd_aElementOf0 W1 W0));
% 7.31/6.84 bnd_aLowerBoundOfIn0 (bnd_sdtlpdtrp0 bnd_xf bnd_xp) bnd_xP bnd_xU &
% 7.31/6.84 bnd_aUpperBoundOfIn0 (bnd_sdtlpdtrp0 bnd_xf bnd_xp) bnd_xT bnd_xU;
% 7.31/6.84 bnd_aInfimumOfIn0 bnd_xp bnd_xP bnd_xU;
% 7.31/6.84 bnd_xP = bnd_cS1241 bnd_xU bnd_xf bnd_xT; bnd_aSubsetOf0 bnd_xT bnd_xS;
% 7.31/6.84 bnd_xS = bnd_cS1142 bnd_xf;
% 7.31/6.84 ((bnd_aCompleteLattice0 bnd_xU & bnd_aFunction0 bnd_xf) &
% 7.31/6.84 bnd_isMonotone0 bnd_xf) &
% 7.31/6.84 bnd_isOn0 bnd_xf bnd_xU;
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aFunction0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aElementOf0 W1 (bnd_szDzozmdt0 W0) -->
% 7.31/6.84 bnd_aElementOf0 (bnd_sdtlpdtrp0 W0 W1) (bnd_szRzazndt0 W0));
% 7.31/6.84 ALL W0. bnd_aFunction0 W0 --> bnd_aSet0 (bnd_szRzazndt0 W0);
% 7.31/6.84 ALL W0. bnd_aFunction0 W0 --> bnd_aSet0 (bnd_szDzozmdt0 W0);
% 7.31/6.84 ALL W0. bnd_aFunction0 W0 --> True;
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aSubsetOf0 W1 W0 -->
% 7.31/6.84 (ALL W2 W3.
% 7.31/6.84 bnd_aInfimumOfIn0 W2 W1 W0 & bnd_aInfimumOfIn0 W3 W1 W0 -->
% 7.31/6.84 W2 = W3));
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 -->
% 7.31/6.84 (ALL W1.
% 7.31/6.84 bnd_aSubsetOf0 W1 W0 -->
% 7.31/6.84 (ALL W2 W3.
% 7.31/6.84 bnd_aSupremumOfIn0 W2 W1 W0 & bnd_aSupremumOfIn0 W3 W1 W0 -->
% 7.31/6.84 W2 = W3));
% 7.31/6.84 ALL W0 W1 W2.
% 7.31/6.84 (bnd_aElement0 W0 & bnd_aElement0 W1) & bnd_aElement0 W2 -->
% 7.31/6.84 bnd_sdtlseqdt0 W0 W1 & bnd_sdtlseqdt0 W1 W2 --> bnd_sdtlseqdt0 W0 W2;
% 7.31/6.84 ALL W0 W1.
% 7.31/6.84 bnd_aElement0 W0 & bnd_aElement0 W1 -->
% 7.31/6.84 bnd_sdtlseqdt0 W0 W1 & bnd_sdtlseqdt0 W1 W0 --> W0 = W1;
% 7.31/6.84 ALL W0. bnd_aElement0 W0 --> bnd_sdtlseqdt0 W0 W0;
% 7.31/6.84 ALL W0 W1.
% 7.31/6.84 bnd_aElement0 W0 & bnd_aElement0 W1 --> bnd_sdtlseqdt0 W0 W1 --> True;
% 7.31/6.84 ALL W0.
% 7.31/6.84 bnd_aSet0 W0 --> (ALL W1. bnd_aElementOf0 W1 W0 --> bnd_aElement0 W1);
% 7.31/6.84 ALL W0. bnd_aElement0 W0 --> True; ALL W0. bnd_aSet0 W0 --> True |]
% 7.31/6.84 ==> bnd_aFixedPointOf0 bnd_xp bnd_xf &
% 7.31/6.84 bnd_aSupremumOfIn0 bnd_xp bnd_xT bnd_xS
% 7.31/6.84 Adding axioms...
% 7.31/6.85 Typedef.type_definition_def
% 11.21/10.71 ...done.
% 11.21/10.72 Ground types: ?'b, TPTP_Interpret.ind
% 11.21/10.72 Translating term (sizes: 1, 1) ...
% 13.92/13.44 Invoking SAT solver...
% 13.92/13.45 No model exists.
% 13.92/13.45 Translating term (sizes: 2, 1) ...
% 17.32/16.81 Invoking SAT solver...
% 17.32/16.81 No model exists.
% 17.32/16.81 Translating term (sizes: 1, 2) ...
% 28.84/28.30 Invoking SAT solver...
% 29.15/28.66 Model found:
% 29.15/28.66 Size of types: ?'b: 1, TPTP_Interpret.ind: 2
% 29.15/28.66 bnd_aElement0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}
% 29.15/28.66 bnd_cS1142: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 29.15/28.66 bnd_xS: ??.TPTP_Interpret.ind1
% 29.15/28.66 bnd_cS1241: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})})}
% 29.15/28.66 bnd_xT: ??.TPTP_Interpret.ind1
% 29.15/28.66 bnd_xU: ??.TPTP_Interpret.ind0
% 29.15/28.66 bnd_xP: ??.TPTP_Interpret.ind1
% 29.15/28.66 bnd_xp: ??.TPTP_Interpret.ind0
% 29.15/28.66 bnd_xf: ??.TPTP_Interpret.ind0
% 29.15/28.66 bnd_isEmpty0: {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}
% 29.15/28.66 bnd_aLowerBoundOfIn0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})})}
% 29.15/28.66 bnd_aUpperBoundOfIn0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})})}
% 29.15/28.66 bnd_aSupremumOfIn0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})})}
% 29.15/28.66 bnd_aInfimumOfIn0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, False)})})}
% 29.15/28.66 bnd_aSubsetOf0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True)})}
% 29.15/28.66 bnd_aCompleteLattice0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}
% 29.15/28.66 bnd_szRzazndt0: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 29.15/28.66 bnd_isOn0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 29.15/28.66 bnd_aSet0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}
% 29.15/28.66 bnd_aFixedPointOf0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 29.15/28.66 bnd_sdtlpdtrp0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)})}
% 29.15/28.66 bnd_sdtlseqdt0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 29.15/28.66 bnd_szDzozmdt0: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 29.15/28.66 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 29.15/28.66 bnd_aElementOf0: {(??.TPTP_Interpret.ind0,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}),
% 29.15/28.66 (??.TPTP_Interpret.ind1,
% 29.15/28.66 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)})}
% 29.15/28.66 bnd_isMonotone0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True)}
% 29.15/28.66 bnd_aFunction0: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}
% 29.15/28.66
% 29.15/28.66 % SZS status CounterSatisfiable
%------------------------------------------------------------------------------