TSTP Solution File: LCL578+1 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : LCL578+1 : TPTP v6.4.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n092.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 17:05:55 EDT 2016
% Result : CounterSatisfiable 101.83s
% 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 : LCL578+1 : TPTP v6.4.0. Released v3.3.0.
% 0.00/0.04 % Command : isabelle tptp_refute %d %s
% 0.03/0.23 % Computer : n092.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 18:02:24 CDT 2016
% 0.03/0.23 % CPUTime :
% 6.29/5.98 > val it = (): unit
% 6.59/6.26 Trying to find a model that refutes: bnd_axiom_m9
% 7.69/7.33 Unfolded term: [| bnd_axiom_m10; bnd_axiom_m5; bnd_axiom_m4; bnd_axiom_m3; bnd_axiom_m2;
% 7.69/7.33 bnd_axiom_m1; bnd_adjunction; bnd_substitution_strict_equiv;
% 7.69/7.33 bnd_modus_ponens_strict_implies; bnd_op_strict_equiv; bnd_op_equiv;
% 7.69/7.33 bnd_op_strict_implies; bnd_op_implies; bnd_op_or; bnd_op_possibly;
% 7.69/7.33 bnd_op_strict_equiv -->
% 7.69/7.33 (ALL X Y.
% 7.69/7.33 bnd_strict_equiv X Y =
% 7.69/7.33 bnd_and (bnd_strict_implies X Y) (bnd_strict_implies Y X));
% 7.69/7.33 bnd_op_strict_implies -->
% 7.69/7.33 (ALL X Y. bnd_strict_implies X Y = bnd_necessarily (bnd_implies X Y));
% 7.69/7.33 bnd_op_necessarily -->
% 7.69/7.33 (ALL X. bnd_necessarily X = bnd_not (bnd_possibly (bnd_not X)));
% 7.69/7.33 bnd_op_possibly -->
% 7.69/7.33 (ALL X. bnd_possibly X = bnd_not (bnd_necessarily (bnd_not X)));
% 7.69/7.33 bnd_axiom_m10 =
% 7.69/7.33 (ALL X.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies (bnd_possibly X)
% 7.69/7.33 (bnd_necessarily (bnd_possibly X))));
% 7.69/7.33 bnd_axiom_m9 =
% 7.69/7.33 (ALL X.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies (bnd_possibly (bnd_possibly X))
% 7.69/7.33 (bnd_possibly X)));
% 7.69/7.33 bnd_axiom_m8 =
% 7.69/7.33 (ALL P Q.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies (bnd_strict_implies P Q)
% 7.69/7.33 (bnd_strict_implies (bnd_possibly P) (bnd_possibly Q))));
% 7.69/7.33 bnd_axiom_m7 =
% 7.69/7.33 (ALL P Q.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies (bnd_possibly (bnd_and P Q)) P));
% 7.69/7.33 bnd_axiom_m6 =
% 7.69/7.33 (ALL X. bnd_is_a_theorem (bnd_strict_implies X (bnd_possibly X)));
% 7.69/7.33 bnd_axiom_m5 =
% 7.69/7.33 (ALL X Y Z.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies
% 7.69/7.33 (bnd_and (bnd_strict_implies X Y) (bnd_strict_implies Y Z))
% 7.69/7.33 (bnd_strict_implies X Z)));
% 7.69/7.33 bnd_axiom_m4 =
% 7.69/7.33 (ALL X. bnd_is_a_theorem (bnd_strict_implies X (bnd_and X X)));
% 7.69/7.33 bnd_axiom_m3 =
% 7.69/7.33 (ALL X Y Z.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies (bnd_and (bnd_and X Y) Z)
% 7.69/7.33 (bnd_and X (bnd_and Y Z))));
% 7.69/7.33 bnd_axiom_m2 =
% 7.69/7.33 (ALL X Y. bnd_is_a_theorem (bnd_strict_implies (bnd_and X Y) X));
% 7.69/7.33 bnd_axiom_m1 =
% 7.69/7.33 (ALL X Y.
% 7.69/7.33 bnd_is_a_theorem (bnd_strict_implies (bnd_and X Y) (bnd_and Y X)));
% 7.69/7.33 bnd_axiom_s4 =
% 7.69/7.33 (ALL X.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies (bnd_necessarily X)
% 7.69/7.33 (bnd_necessarily (bnd_necessarily X))));
% 7.69/7.33 bnd_axiom_s3 =
% 7.69/7.33 (ALL X Y.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies (bnd_strict_implies X Y)
% 7.69/7.33 (bnd_strict_implies (bnd_not (bnd_possibly Y))
% 7.69/7.33 (bnd_not (bnd_possibly X)))));
% 7.69/7.33 bnd_axiom_s2 =
% 7.69/7.33 (ALL P Q.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_strict_implies (bnd_possibly (bnd_and P Q))
% 7.69/7.33 (bnd_and (bnd_possibly P) (bnd_possibly Q))));
% 7.69/7.33 bnd_axiom_s1 =
% 7.69/7.33 (ALL X Y Z.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_implies
% 7.69/7.33 (bnd_and (bnd_necessarily (bnd_implies X Y))
% 7.69/7.33 (bnd_necessarily (bnd_implies Y Z)))
% 7.69/7.33 (bnd_necessarily (bnd_implies X Z))));
% 7.69/7.33 bnd_axiom_5 =
% 7.69/7.33 (ALL X.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_implies (bnd_possibly X) (bnd_necessarily (bnd_possibly X))));
% 7.69/7.33 bnd_axiom_B =
% 7.69/7.33 (ALL X.
% 7.69/7.33 bnd_is_a_theorem (bnd_implies X (bnd_necessarily (bnd_possibly X))));
% 7.69/7.33 bnd_axiom_4 =
% 7.69/7.33 (ALL X.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_implies (bnd_necessarily X)
% 7.69/7.33 (bnd_necessarily (bnd_necessarily X))));
% 7.69/7.33 bnd_axiom_M =
% 7.69/7.33 (ALL X. bnd_is_a_theorem (bnd_implies (bnd_necessarily X) X));
% 7.69/7.33 bnd_axiom_K =
% 7.69/7.33 (ALL X Y.
% 7.69/7.33 bnd_is_a_theorem
% 7.69/7.33 (bnd_implies (bnd_necessarily (bnd_implies X Y))
% 7.69/7.33 (bnd_implies (bnd_necessarily X) (bnd_necessarily Y))));
% 7.69/7.33 bnd_substitution_strict_equiv =
% 7.69/7.33 (ALL X Y. bnd_is_a_theorem (bnd_strict_equiv X Y) --> X = Y);
% 7.69/7.33 bnd_adjunction =
% 7.69/7.33 (ALL X Y.
% 7.69/7.33 bnd_is_a_theorem X & bnd_is_a_theorem Y -->
% 7.69/7.33 bnd_is_a_theorem (bnd_and X Y));
% 7.69/7.33 bnd_modus_ponens_strict_implies =
% 7.69/7.33 (ALL X Y.
% 7.69/7.33 bnd_is_a_theorem X & bnd_is_a_theorem (bnd_strict_implies X Y) -->
% 7.69/7.33 bnd_is_a_theorem Y);
% 7.69/7.33 bnd_necessitation =
% 7.69/7.33 (ALL X. bnd_is_a_theorem X --> bnd_is_a_theorem (bnd_necessarily X));
% 7.69/7.33 bnd_op_equiv -->
% 7.69/7.33 (ALL X Y. bnd_equiv X Y = bnd_and (bnd_implies X Y) (bnd_implies Y X));
% 7.69/7.33 bnd_op_implies_or --> (ALL X Y. bnd_implies X Y = bnd_or (bnd_not X) Y);
% 7.69/7.33 bnd_op_implies_and -->
% 7.69/7.33 (ALL X Y. bnd_implies X Y = bnd_not (bnd_and X (bnd_not Y)));
% 7.69/7.33 bnd_op_and -->
% 7.69/7.33 (ALL X Y. bnd_and X Y = bnd_not (bnd_or (bnd_not X) (bnd_not Y)));
% 7.69/7.33 bnd_op_or -->
% 7.69/7.33 (ALL X Y. bnd_or X Y = bnd_not (bnd_and (bnd_not X) (bnd_not Y))) |]
% 7.69/7.33 ==> bnd_axiom_m9
% 7.69/7.33 Adding axioms...
% 7.80/7.44 Typedef.type_definition_def
% 12.52/12.11 ...done.
% 12.52/12.12 Ground types: ?'b, TPTP_Interpret.ind
% 12.52/12.12 Translating term (sizes: 1, 1) ...
% 15.41/15.09 Invoking SAT solver...
% 15.41/15.09 No model exists.
% 15.41/15.09 Translating term (sizes: 2, 1) ...
% 19.12/18.78 Invoking SAT solver...
% 19.12/18.78 No model exists.
% 19.12/18.78 Translating term (sizes: 1, 2) ...
% 27.13/26.72 Invoking SAT solver...
% 27.35/26.90 No model exists.
% 27.35/26.90 Translating term (sizes: 3, 1) ...
% 33.36/32.94 Invoking SAT solver...
% 33.36/32.95 No model exists.
% 33.36/32.95 Translating term (sizes: 2, 2) ...
% 49.09/48.66 Invoking SAT solver...
% 49.29/48.84 No model exists.
% 49.29/48.84 Translating term (sizes: 1, 3) ...
% 66.84/66.32 Invoking SAT solver...
% 101.83/100.81 Model found:
% 101.83/100.81 Size of types: ?'b: 1, TPTP_Interpret.ind: 3
% 101.83/100.81 bnd_op_and: False
% 101.83/100.81 bnd_op_implies_and: False
% 101.83/100.81 bnd_or: {(??.TPTP_Interpret.ind0,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 101.83/100.81 (??.TPTP_Interpret.ind1,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)}),
% 101.83/100.81 (??.TPTP_Interpret.ind2,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind2)})}
% 101.83/100.81 bnd_op_implies_or: False
% 101.83/100.81 bnd_equiv: {(??.TPTP_Interpret.ind0,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 101.83/100.81 (??.TPTP_Interpret.ind1,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 101.83/100.81 (??.TPTP_Interpret.ind2,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)})}
% 101.83/100.81 bnd_necessitation: False
% 101.83/100.81 bnd_axiom_K: True
% 101.83/100.81 bnd_axiom_M: True
% 101.83/100.81 bnd_axiom_4: True
% 101.83/100.81 bnd_axiom_B: True
% 101.83/100.81 bnd_axiom_5: True
% 101.83/100.81 bnd_axiom_s1: True
% 101.83/100.81 bnd_axiom_s2: False
% 101.83/100.81 bnd_axiom_s3: True
% 101.83/100.81 bnd_axiom_s4: True
% 101.83/100.81 bnd_axiom_m6: False
% 101.83/100.81 bnd_axiom_m7: False
% 101.83/100.81 bnd_axiom_m8: False
% 101.83/100.81 bnd_axiom_m9: False
% 101.83/100.81 bnd_is_a_theorem: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False),
% 101.83/100.81 (??.TPTP_Interpret.ind2, True)}
% 101.83/100.81 bnd_possibly: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)}
% 101.83/100.81 bnd_not: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind2)}
% 101.83/100.81 bnd_op_necessarily: False
% 101.83/100.81 bnd_implies: {(??.TPTP_Interpret.ind0,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind2),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 101.83/100.81 (??.TPTP_Interpret.ind1,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 101.83/100.81 (??.TPTP_Interpret.ind2,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind2),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind2),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)})}
% 101.83/100.81 bnd_necessarily: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)}
% 101.83/100.81 bnd_strict_implies: {(??.TPTP_Interpret.ind0,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 101.83/100.81 (??.TPTP_Interpret.ind1,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 101.83/100.81 (??.TPTP_Interpret.ind2,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)})}
% 101.83/100.81 bnd_and: {(??.TPTP_Interpret.ind0,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)}),
% 101.83/100.81 (??.TPTP_Interpret.ind1,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)}),
% 101.83/100.81 (??.TPTP_Interpret.ind2,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind2)})}
% 101.83/100.81 bnd_strict_equiv: {(??.TPTP_Interpret.ind0,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)}),
% 101.83/100.81 (??.TPTP_Interpret.ind1,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1)}),
% 101.83/100.81 (??.TPTP_Interpret.ind2,
% 101.83/100.81 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 101.83/100.81 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0)})}
% 101.83/100.81 bnd_op_possibly: True
% 101.83/100.81 bnd_op_or: True
% 101.83/100.81 bnd_op_implies: True
% 101.83/100.81 bnd_op_strict_implies: True
% 101.83/100.81 bnd_op_equiv: True
% 101.83/100.81 bnd_op_strict_equiv: True
% 101.83/100.81 bnd_modus_ponens_strict_implies: True
% 101.83/100.81 bnd_substitution_strict_equiv: True
% 101.83/100.81 bnd_adjunction: True
% 101.83/100.81 bnd_axiom_m1: True
% 101.83/100.81 bnd_axiom_m2: True
% 101.83/100.81 bnd_axiom_m3: True
% 101.83/100.81 bnd_axiom_m4: True
% 101.83/100.81 bnd_axiom_m5: True
% 101.83/100.81 bnd_axiom_m10: True
% 101.83/100.81
% 101.83/100.81 % SZS status CounterSatisfiable
%------------------------------------------------------------------------------