TSTP Solution File: LCL569+1 by Refute---2015
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : LCL569+1 : TPTP v6.4.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n110.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 17:05:54 EDT 2016
% Result : CounterSatisfiable 27.75s
% Output : Assurance 0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.03 % Problem : LCL569+1 : TPTP v6.4.0. Released v3.3.0.
% 0.01/0.04 % Command : isabelle tptp_refute %d %s
% 0.03/0.22 % Computer : n110.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 32218.75MB
% 0.03/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Sun Apr 10 18:00:09 CDT 2016
% 0.03/0.23 % CPUTime :
% 6.31/5.83 > val it = (): unit
% 6.61/6.10 Trying to find a model that refutes: bnd_axiom_m10
% 7.61/7.19 Unfolded term: [| bnd_axiom_b; bnd_axiom_m9; bnd_axiom_s3; bnd_axiom_m6; bnd_axiom_m5;
% 7.61/7.19 bnd_axiom_m4; bnd_axiom_m3; bnd_axiom_m2; bnd_axiom_m1; bnd_adjunction;
% 7.61/7.19 bnd_substitution_strict_equiv; bnd_modus_ponens_strict_implies;
% 7.61/7.19 bnd_op_strict_equiv; bnd_op_equiv; bnd_op_strict_implies; bnd_op_implies;
% 7.61/7.19 bnd_op_or; bnd_op_possibly;
% 7.61/7.19 bnd_op_strict_equiv -->
% 7.61/7.19 (ALL X Y.
% 7.61/7.19 bnd_strict_equiv X Y =
% 7.61/7.19 bnd_and (bnd_strict_implies X Y) (bnd_strict_implies Y X));
% 7.61/7.19 bnd_op_strict_implies -->
% 7.61/7.19 (ALL X Y. bnd_strict_implies X Y = bnd_necessarily (bnd_implies X Y));
% 7.61/7.19 bnd_op_necessarily -->
% 7.61/7.19 (ALL X. bnd_necessarily X = bnd_not (bnd_possibly (bnd_not X)));
% 7.61/7.19 bnd_op_possibly -->
% 7.61/7.19 (ALL X. bnd_possibly X = bnd_not (bnd_necessarily (bnd_not X)));
% 7.61/7.19 bnd_axiom_m10 =
% 7.61/7.19 (ALL X.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies (bnd_possibly X)
% 7.61/7.19 (bnd_necessarily (bnd_possibly X))));
% 7.61/7.19 bnd_axiom_m9 =
% 7.61/7.19 (ALL X.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies (bnd_possibly (bnd_possibly X))
% 7.61/7.19 (bnd_possibly X)));
% 7.61/7.19 bnd_axiom_m8 =
% 7.61/7.19 (ALL P Q.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies (bnd_strict_implies P Q)
% 7.61/7.19 (bnd_strict_implies (bnd_possibly P) (bnd_possibly Q))));
% 7.61/7.19 bnd_axiom_m7 =
% 7.61/7.19 (ALL P Q.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies (bnd_possibly (bnd_and P Q)) P));
% 7.61/7.19 bnd_axiom_m6 =
% 7.61/7.19 (ALL X. bnd_is_a_theorem (bnd_strict_implies X (bnd_possibly X)));
% 7.61/7.19 bnd_axiom_m5 =
% 7.61/7.19 (ALL X Y Z.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies
% 7.61/7.19 (bnd_and (bnd_strict_implies X Y) (bnd_strict_implies Y Z))
% 7.61/7.19 (bnd_strict_implies X Z)));
% 7.61/7.19 bnd_axiom_m4 =
% 7.61/7.19 (ALL X. bnd_is_a_theorem (bnd_strict_implies X (bnd_and X X)));
% 7.61/7.19 bnd_axiom_m3 =
% 7.61/7.19 (ALL X Y Z.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies (bnd_and (bnd_and X Y) Z)
% 7.61/7.19 (bnd_and X (bnd_and Y Z))));
% 7.61/7.19 bnd_axiom_m2 =
% 7.61/7.19 (ALL X Y. bnd_is_a_theorem (bnd_strict_implies (bnd_and X Y) X));
% 7.61/7.19 bnd_axiom_m1 =
% 7.61/7.19 (ALL X Y.
% 7.61/7.19 bnd_is_a_theorem (bnd_strict_implies (bnd_and X Y) (bnd_and Y X)));
% 7.61/7.19 bnd_axiom_s4 =
% 7.61/7.19 (ALL X.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies (bnd_necessarily X)
% 7.61/7.19 (bnd_necessarily (bnd_necessarily X))));
% 7.61/7.19 bnd_axiom_s3 =
% 7.61/7.19 (ALL X Y.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies (bnd_strict_implies X Y)
% 7.61/7.19 (bnd_strict_implies (bnd_not (bnd_possibly Y))
% 7.61/7.19 (bnd_not (bnd_possibly X)))));
% 7.61/7.19 bnd_axiom_s2 =
% 7.61/7.19 (ALL P Q.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_strict_implies (bnd_possibly (bnd_and P Q))
% 7.61/7.19 (bnd_and (bnd_possibly P) (bnd_possibly Q))));
% 7.61/7.19 bnd_axiom_s1 =
% 7.61/7.19 (ALL X Y Z.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_implies
% 7.61/7.19 (bnd_and (bnd_necessarily (bnd_implies X Y))
% 7.61/7.19 (bnd_necessarily (bnd_implies Y Z)))
% 7.61/7.19 (bnd_necessarily (bnd_implies X Z))));
% 7.61/7.19 bnd_axiom_5 =
% 7.61/7.19 (ALL X.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_implies (bnd_possibly X) (bnd_necessarily (bnd_possibly X))));
% 7.61/7.19 bnd_axiom_B =
% 7.61/7.19 (ALL X.
% 7.61/7.19 bnd_is_a_theorem (bnd_implies X (bnd_necessarily (bnd_possibly X))));
% 7.61/7.19 bnd_axiom_4 =
% 7.61/7.19 (ALL X.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_implies (bnd_necessarily X)
% 7.61/7.19 (bnd_necessarily (bnd_necessarily X))));
% 7.61/7.19 bnd_axiom_M =
% 7.61/7.19 (ALL X. bnd_is_a_theorem (bnd_implies (bnd_necessarily X) X));
% 7.61/7.19 bnd_axiom_K =
% 7.61/7.19 (ALL X Y.
% 7.61/7.19 bnd_is_a_theorem
% 7.61/7.19 (bnd_implies (bnd_necessarily (bnd_implies X Y))
% 7.61/7.19 (bnd_implies (bnd_necessarily X) (bnd_necessarily Y))));
% 7.61/7.19 bnd_substitution_strict_equiv =
% 7.61/7.19 (ALL X Y. bnd_is_a_theorem (bnd_strict_equiv X Y) --> X = Y);
% 7.61/7.19 bnd_adjunction =
% 7.61/7.19 (ALL X Y.
% 7.61/7.19 bnd_is_a_theorem X & bnd_is_a_theorem Y -->
% 7.61/7.19 bnd_is_a_theorem (bnd_and X Y));
% 7.61/7.19 bnd_modus_ponens_strict_implies =
% 7.61/7.19 (ALL X Y.
% 7.61/7.19 bnd_is_a_theorem X & bnd_is_a_theorem (bnd_strict_implies X Y) -->
% 7.61/7.19 bnd_is_a_theorem Y);
% 7.61/7.19 bnd_necessitation =
% 7.61/7.19 (ALL X. bnd_is_a_theorem X --> bnd_is_a_theorem (bnd_necessarily X));
% 7.61/7.19 bnd_op_equiv -->
% 7.61/7.19 (ALL X Y. bnd_equiv X Y = bnd_and (bnd_implies X Y) (bnd_implies Y X));
% 7.61/7.19 bnd_op_implies_or --> (ALL X Y. bnd_implies X Y = bnd_or (bnd_not X) Y);
% 7.61/7.19 bnd_op_implies_and -->
% 7.61/7.19 (ALL X Y. bnd_implies X Y = bnd_not (bnd_and X (bnd_not Y)));
% 7.61/7.19 bnd_op_and -->
% 7.61/7.19 (ALL X Y. bnd_and X Y = bnd_not (bnd_or (bnd_not X) (bnd_not Y)));
% 7.61/7.19 bnd_op_or -->
% 7.61/7.19 (ALL X Y. bnd_or X Y = bnd_not (bnd_and (bnd_not X) (bnd_not Y))) |]
% 7.61/7.19 ==> bnd_axiom_m10
% 7.61/7.19 Adding axioms...
% 7.82/7.30 Typedef.type_definition_def
% 12.42/12.00 ...done.
% 12.42/12.01 Ground types: ?'b, TPTP_Interpret.ind
% 12.42/12.01 Translating term (sizes: 1, 1) ...
% 15.52/15.03 Invoking SAT solver...
% 15.52/15.03 No model exists.
% 15.52/15.03 Translating term (sizes: 2, 1) ...
% 19.25/18.76 Invoking SAT solver...
% 19.25/18.76 No model exists.
% 19.25/18.76 Translating term (sizes: 1, 2) ...
% 27.25/26.74 Invoking SAT solver...
% 27.75/27.26 Model found:
% 27.75/27.26 Size of types: ?'b: 1, TPTP_Interpret.ind: 2
% 27.75/27.26 bnd_op_and: False
% 27.75/27.26 bnd_op_implies_and: False
% 27.75/27.26 bnd_or: {(??.TPTP_Interpret.ind0,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 27.75/27.26 (??.TPTP_Interpret.ind1,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 27.75/27.26 bnd_op_implies_or: False
% 27.75/27.26 bnd_equiv: {(??.TPTP_Interpret.ind0,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 27.75/27.26 (??.TPTP_Interpret.ind1,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)})}
% 27.75/27.26 bnd_necessitation: False
% 27.75/27.26 bnd_axiom_K: False
% 27.75/27.26 bnd_axiom_M: False
% 27.75/27.26 bnd_axiom_4: False
% 27.75/27.26 bnd_axiom_B: False
% 27.75/27.26 bnd_axiom_5: True
% 27.75/27.26 bnd_axiom_s1: False
% 27.75/27.26 bnd_axiom_s2: True
% 27.75/27.26 bnd_axiom_s4: False
% 27.75/27.26 bnd_axiom_m7: False
% 27.75/27.26 bnd_axiom_m8: True
% 27.75/27.26 bnd_is_a_theorem: {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, False)}
% 27.75/27.26 bnd_axiom_m10: False
% 27.75/27.26 bnd_possibly: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 27.75/27.26 bnd_not: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 27.75/27.26 bnd_op_necessarily: False
% 27.75/27.26 bnd_implies: {(??.TPTP_Interpret.ind0,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}),
% 27.75/27.26 (??.TPTP_Interpret.ind1,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)})}
% 27.75/27.26 bnd_necessarily: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)}
% 27.75/27.26 bnd_strict_implies: {(??.TPTP_Interpret.ind0,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 27.75/27.26 (??.TPTP_Interpret.ind1,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 27.75/27.26 bnd_and: {(??.TPTP_Interpret.ind0,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 27.75/27.26 (??.TPTP_Interpret.ind1,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)})}
% 27.75/27.26 bnd_strict_equiv: {(??.TPTP_Interpret.ind0,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1)}),
% 27.75/27.26 (??.TPTP_Interpret.ind1,
% 27.75/27.26 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 27.75/27.26 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind0)})}
% 27.75/27.26 bnd_op_possibly: True
% 27.75/27.26 bnd_op_or: True
% 27.75/27.26 bnd_op_implies: True
% 27.75/27.26 bnd_op_strict_implies: True
% 27.75/27.26 bnd_op_equiv: True
% 27.75/27.26 bnd_op_strict_equiv: True
% 27.75/27.26 bnd_modus_ponens_strict_implies: True
% 27.75/27.26 bnd_substitution_strict_equiv: True
% 27.75/27.26 bnd_adjunction: True
% 27.75/27.26 bnd_axiom_m1: True
% 27.75/27.26 bnd_axiom_m2: True
% 27.75/27.26 bnd_axiom_m3: True
% 27.75/27.26 bnd_axiom_m4: True
% 27.75/27.26 bnd_axiom_m5: True
% 27.75/27.26 bnd_axiom_m6: True
% 27.75/27.26 bnd_axiom_s3: True
% 27.75/27.26 bnd_axiom_m9: True
% 27.75/27.26 bnd_axiom_b: True
% 27.75/27.26
% 27.75/27.26 % SZS status CounterSatisfiable
%------------------------------------------------------------------------------