TSTP Solution File: SWV417+2 by Refute---2015

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Refute---2015
% Problem  : SWV417+2 : TPTP v6.4.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : isabelle tptp_refute %d %s

% Computer : n049.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 : Thu Apr 14 05:28:37 EDT 2016

% Result   : Timeout 300.07s
% Output   : None 
% 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  : SWV417+2 : TPTP v6.4.0. Released v3.3.0.
% 0.00/0.04  % Command  : isabelle tptp_refute %d %s
% 0.03/0.23  % Computer : n049.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 : Fri Apr  8 14:46:09 CDT 2016
% 0.03/0.23  % CPUTime  : 
% 6.29/5.83  > val it = (): unit
% 6.60/6.16  Trying to find a model that refutes: bnd_pi_find_min (bnd_triple U V W) -->
% 6.60/6.16  bnd_phi (bnd_findmin_cpq_eff (bnd_triple U V W)) -->
% 6.60/6.16  (EX X. bnd_pi_sharp_find_min (bnd_i (bnd_triple U V W)) X &
% 6.60/6.16         bnd_findmin_cpq_res (bnd_triple U V W) =
% 6.60/6.16         bnd_findmin_pq_res (bnd_i (bnd_triple U V W)) X)
% 9.21/8.79  Unfolded term: [| (ALL U.
% 9.21/8.79         bnd_contains_slb bnd_create_slb U -->
% 9.21/8.79         Ex (bnd_pair_in_list bnd_create_slb U)) &
% 9.21/8.79     (ALL W.
% 9.21/8.79         (ALL X. bnd_contains_slb W X --> Ex (bnd_pair_in_list W X)) -->
% 9.21/8.79         (ALL Z X1 X2.
% 9.21/8.79             bnd_contains_slb (bnd_insert_slb W (bnd_pair X1 X2)) Z -->
% 9.21/8.79             Ex (bnd_pair_in_list (bnd_insert_slb W (bnd_pair X1 X2)) Z))) -->
% 9.21/8.79     (ALL X4 X5. bnd_contains_slb X4 X5 --> Ex (bnd_pair_in_list X4 X5));
% 9.21/8.79     (ALL U V.
% 9.21/8.79         bnd_check_cpq (bnd_triple U bnd_create_slb V) =
% 9.21/8.79         (ALL W X.
% 9.21/8.79             bnd_pair_in_list bnd_create_slb W X --> bnd_less_than X W)) &
% 9.21/8.79     (ALL Y.
% 9.21/8.79         (ALL Z X1.
% 9.21/8.79             bnd_check_cpq (bnd_triple Z Y X1) =
% 9.21/8.79             (ALL X2 X3.
% 9.21/8.79                 bnd_pair_in_list Y X2 X3 --> bnd_less_than X3 X2)) -->
% 9.21/8.79         (ALL X4 X5 X6 X7.
% 9.21/8.79             bnd_check_cpq
% 9.21/8.79              (bnd_triple X4 (bnd_insert_slb Y (bnd_pair X6 X7)) X5) =
% 9.21/8.79             (ALL X8 X9.
% 9.21/8.79                 bnd_pair_in_list (bnd_insert_slb Y (bnd_pair X6 X7)) X8
% 9.21/8.79                  X9 -->
% 9.21/8.79                 bnd_less_than X9 X8))) -->
% 9.21/8.79     (ALL X10 X11 X12.
% 9.21/8.79         bnd_check_cpq (bnd_triple X10 X11 X12) =
% 9.21/8.79         (ALL X13 X14.
% 9.21/8.79             bnd_pair_in_list X11 X13 X14 --> bnd_less_than X14 X13));
% 9.21/8.79     (ALL U V W X.
% 9.21/8.79         bnd_pair_in_list bnd_create_slb V W & bnd_strictly_less_than W X -->
% 9.21/8.79         bnd_pair_in_list (bnd_update_slb bnd_create_slb X) V X) &
% 9.21/8.79     (ALL Y.
% 9.21/8.79         (ALL Z X1 X2.
% 9.21/8.79             bnd_pair_in_list Y Z X1 & bnd_strictly_less_than X1 X2 -->
% 9.21/8.79             bnd_pair_in_list (bnd_update_slb Y X2) Z X2) -->
% 9.21/8.79         (ALL X3 X4 X5 X6 X7.
% 9.21/8.79             bnd_pair_in_list (bnd_insert_slb Y (bnd_pair X6 X7)) X3 X4 &
% 9.21/8.79             bnd_strictly_less_than X4 X5 -->
% 9.21/8.79             bnd_pair_in_list
% 9.21/8.79              (bnd_update_slb (bnd_insert_slb Y (bnd_pair X6 X7)) X5) X3
% 9.21/8.79              X5)) -->
% 9.21/8.79     (ALL X8 X9 X10 X11.
% 9.21/8.79         bnd_pair_in_list X8 X9 X10 & bnd_strictly_less_than X10 X11 -->
% 9.21/8.79         bnd_pair_in_list (bnd_update_slb X8 X11) X9 X11);
% 9.21/8.79     (ALL U V W X.
% 9.21/8.79         bnd_pair_in_list bnd_create_slb V W & bnd_less_than X W -->
% 9.21/8.79         bnd_pair_in_list (bnd_update_slb bnd_create_slb X) V W) &
% 9.21/8.79     (ALL Y.
% 9.21/8.79         (ALL Z X1 X2.
% 9.21/8.79             bnd_pair_in_list Y Z X1 & bnd_less_than X2 X1 -->
% 9.21/8.79             bnd_pair_in_list (bnd_update_slb Y X2) Z X1) -->
% 9.21/8.79         (ALL X3 X4 X5 X6 X7.
% 9.21/8.79             bnd_pair_in_list (bnd_insert_slb Y (bnd_pair X6 X7)) X3 X4 &
% 9.21/8.79             bnd_less_than X5 X4 -->
% 9.21/8.79             bnd_pair_in_list
% 9.21/8.79              (bnd_update_slb (bnd_insert_slb Y (bnd_pair X6 X7)) X5) X3
% 9.21/8.79              X4)) -->
% 9.21/8.79     (ALL X8 X9 X10 X11.
% 9.21/8.79         bnd_pair_in_list X8 X9 X10 & bnd_less_than X11 X10 -->
% 9.21/8.79         bnd_pair_in_list (bnd_update_slb X8 X11) X9 X10);
% 9.21/8.79     (ALL U V W X.
% 9.21/8.79         (bnd_pair_in_list bnd_create_slb W X & bnd_strictly_less_than W X) &
% 9.21/8.79         bnd_ok (bnd_remove_cpq (bnd_triple U bnd_create_slb V) W) -->
% 9.21/8.79         bnd_pair_in_list (bnd_remove_slb bnd_create_slb W) W X) &
% 9.21/8.79     (ALL Y.
% 9.21/8.79         (ALL Z X1 X2 X3.
% 9.21/8.79             (bnd_pair_in_list Y X2 X3 & bnd_strictly_less_than X2 X3) &
% 9.21/8.79             bnd_ok (bnd_remove_cpq (bnd_triple Z Y X1) X2) -->
% 9.21/8.79             bnd_pair_in_list (bnd_remove_slb Y X2) X2 X3) -->
% 9.21/8.79         (ALL X4 X5 X6 X7 X8 X9.
% 9.21/8.79             (bnd_pair_in_list (bnd_insert_slb Y (bnd_pair X8 X9)) X6 X7 &
% 9.21/8.79              bnd_strictly_less_than X6 X7) &
% 9.21/8.79             bnd_ok
% 9.21/8.79              (bnd_remove_cpq
% 9.21/8.79                (bnd_triple X4 (bnd_insert_slb Y (bnd_pair X8 X9)) X5) X6) -->
% 9.21/8.79             bnd_pair_in_list
% 9.21/8.79              (bnd_remove_slb (bnd_insert_slb Y (bnd_pair X8 X9)) X6) X6
% 9.21/8.79              X7)) -->
% 9.21/8.79     (ALL X10 X11 X12 X13 X14.
% 9.21/8.79         (bnd_pair_in_list X11 X13 X14 & bnd_strictly_less_than X13 X14) &
% 9.21/8.79         bnd_ok (bnd_remove_cpq (bnd_triple X10 X11 X12) X13) -->
% 9.21/8.79         bnd_pair_in_list (bnd_remove_slb X11 X13) X13 X14);
% 9.21/8.79     (ALL U V.
% 9.21/8.79         bnd_pair_in_list bnd_create_slb U V -->
% 9.21/8.79         (ALL W.
% 9.21/8.79             bnd_contains_slb bnd_create_slb W -->
% 9.21/8.79             bnd_pair_in_list (bnd_remove_slb bnd_create_slb W) U V |
% 9.21/8.79             U = W)) &
% 9.21/8.79     (ALL X.
% 9.21/8.79         (ALL Y Z.
% 9.21/8.79             bnd_pair_in_list X Y Z -->
% 9.21/8.79             (ALL X1.
% 9.21/8.79                 bnd_contains_slb X X1 -->
% 9.21/8.79                 bnd_pair_in_list (bnd_remove_slb X X1) Y Z | Y = X1)) -->
% 9.21/8.79         (ALL X2 X3 X4 X5.
% 9.21/8.79             bnd_pair_in_list (bnd_insert_slb X (bnd_pair X4 X5)) X2 X3 -->
% 9.21/8.79             (ALL X4.
% 9.21/8.79                 bnd_contains_slb (bnd_insert_slb X (bnd_pair X4 X5)) X4 -->
% 9.21/8.79                 bnd_pair_in_list
% 9.21/8.79                  (bnd_remove_slb (bnd_insert_slb X (bnd_pair X4 X5)) X4) X2
% 9.21/8.79                  X3 |
% 9.21/8.79                 X2 = X4))) -->
% 9.21/8.79     (ALL X6 X7 X8.
% 9.21/8.79         bnd_pair_in_list X6 X7 X8 -->
% 9.21/8.79         (ALL X9.
% 9.21/8.79             bnd_contains_slb X6 X9 -->
% 9.21/8.79             bnd_pair_in_list (bnd_remove_slb X6 X9) X7 X8 | X7 = X9));
% 9.21/8.79     (((ALL U V W.
% 9.21/8.79           ~ bnd_check_cpq (bnd_triple U V W) -->
% 9.21/8.79           (ALL X.
% 9.21/8.79               ~ bnd_check_cpq (bnd_insert_cpq (bnd_triple U V W) X) |
% 9.21/8.79               ~ bnd_ok (bnd_insert_cpq (bnd_triple U V W) X))) &
% 9.21/8.79       (ALL Y Z X1.
% 9.21/8.79           ~ bnd_check_cpq (bnd_triple Y Z X1) -->
% 9.21/8.79           (ALL X2.
% 9.21/8.79               ~ bnd_check_cpq (bnd_remove_cpq (bnd_triple Y Z X1) X2) |
% 9.21/8.79               ~ bnd_ok (bnd_remove_cpq (bnd_triple Y Z X1) X2)))) &
% 9.21/8.79      (ALL X3 X4 X5.
% 9.21/8.79          ~ bnd_check_cpq (bnd_triple X3 X4 X5) -->
% 9.21/8.79          ~ bnd_check_cpq (bnd_findmin_cpq_eff (bnd_triple X3 X4 X5)) |
% 9.21/8.79          ~ bnd_ok (bnd_findmin_cpq_eff (bnd_triple X3 X4 X5)))) &
% 9.21/8.79     (ALL X6 X7 X8.
% 9.21/8.79         ~ bnd_check_cpq (bnd_triple X6 X7 X8) -->
% 9.21/8.79         ~ bnd_check_cpq (bnd_removemin_cpq_eff (bnd_triple X6 X7 X8)) |
% 9.21/8.79         ~ bnd_ok (bnd_removemin_cpq_eff (bnd_triple X6 X7 X8))) -->
% 9.21/8.79     (ALL X9 X10 X11.
% 9.21/8.79         ~ bnd_check_cpq (bnd_triple X9 X10 X11) -->
% 9.21/8.79         ~ bnd_check_cpq (bnd_im_succ_cpq (bnd_triple X9 X10 X11)) |
% 9.21/8.79         ~ bnd_ok (bnd_im_succ_cpq (bnd_triple X9 X10 X11)));
% 9.21/8.79     (ALL U V W X Y Z.
% 9.21/8.79         bnd_succ_cpq (bnd_triple U V W) (bnd_triple X Y Z) -->
% 9.21/8.79         ~ bnd_check_cpq (bnd_triple X Y Z) | ~ bnd_ok (bnd_triple X Y Z) -->
% 9.21/8.79         ~ bnd_check_cpq (bnd_im_succ_cpq (bnd_triple X Y Z)) |
% 9.21/8.79         ~ bnd_ok (bnd_im_succ_cpq (bnd_triple X Y Z))) -->
% 9.21/8.79     (ALL X1 X2 X3.
% 9.21/8.79         ~ bnd_check_cpq (bnd_triple X1 X2 X3) |
% 9.21/8.79         ~ bnd_ok (bnd_triple X1 X2 X3) -->
% 9.21/8.79         (ALL X4 X5 X6.
% 9.21/8.79             bnd_succ_cpq (bnd_triple X1 X2 X3) (bnd_triple X4 X5 X6) -->
% 9.21/8.79             ~ bnd_ok (bnd_triple X4 X5 X6) |
% 9.21/8.79             ~ bnd_check_cpq (bnd_triple X4 X5 X6)));
% 9.21/8.79     (((ALL U V W X.
% 9.21/8.79           ~ bnd_ok (bnd_triple U V W) -->
% 9.21/8.79           ~ bnd_ok (bnd_insert_cpq (bnd_triple U V W) X)) &
% 9.21/8.79       (ALL Y Z X1 X2.
% 9.21/8.79           ~ bnd_ok (bnd_triple Y Z X1) -->
% 9.21/8.79           ~ bnd_ok (bnd_remove_cpq (bnd_triple Y Z X1) X2))) &
% 9.21/8.79      (ALL X3 X4 X5.
% 9.21/8.79          ~ bnd_ok (bnd_triple X3 X4 X5) -->
% 9.21/8.79          ~ bnd_ok (bnd_findmin_cpq_eff (bnd_triple X3 X4 X5)))) &
% 9.21/8.79     (ALL X6 X7 X8.
% 9.21/8.79         ~ bnd_ok (bnd_triple X6 X7 X8) -->
% 9.21/8.79         ~ bnd_ok (bnd_removemin_cpq_eff (bnd_triple X6 X7 X8))) -->
% 9.21/8.79     (ALL X9. ~ bnd_ok X9 --> ~ bnd_ok (bnd_im_succ_cpq X9));
% 9.21/8.79     (ALL U V W X Y Z.
% 9.21/8.79         bnd_succ_cpq (bnd_triple U V W) (bnd_triple X Y Z) -->
% 9.21/8.79         ~ bnd_ok (bnd_triple X Y Z) -->
% 9.21/8.79         ~ bnd_ok (bnd_im_succ_cpq (bnd_triple X Y Z))) -->
% 9.21/8.79     (ALL X1 X2 X3.
% 9.21/8.79         ~ bnd_ok (bnd_triple X1 X2 X3) -->
% 9.21/8.79         (ALL X4 X5 X6.
% 9.21/8.79             bnd_succ_cpq (bnd_triple X1 X2 X3) (bnd_triple X4 X5 X6) -->
% 9.21/8.79             ~ bnd_ok (bnd_triple X4 X5 X6)));
% 9.21/8.79     (ALL U V W.
% 9.21/8.79         bnd_contains_cpq (bnd_triple U bnd_create_slb V) W =
% 9.21/8.79         bnd_contains_pq (bnd_i (bnd_triple U bnd_create_slb V)) W) &
% 9.21/8.79     (ALL X.
% 9.21/8.79         (ALL Y Z X1.
% 9.21/8.79             bnd_contains_cpq (bnd_triple Y X Z) X1 =
% 9.21/8.79             bnd_contains_pq (bnd_i (bnd_triple Y X Z)) X1) -->
% 9.21/8.79         (ALL X2 X3 X4 X5 X6.
% 9.21/8.79             bnd_contains_cpq
% 9.21/8.79              (bnd_triple X2 (bnd_insert_slb X (bnd_pair X4 X5)) X3) X6 =
% 9.21/8.79             bnd_contains_pq
% 9.21/8.79              (bnd_i (bnd_triple X2 (bnd_insert_slb X (bnd_pair X4 X5)) X3))
% 9.21/8.79              X6)) -->
% 9.21/8.79     (ALL X7 X8 X9 X10.
% 9.21/8.79         bnd_contains_cpq (bnd_triple X7 X8 X9) X10 =
% 9.21/8.79         bnd_contains_pq (bnd_i (bnd_triple X7 X8 X9)) X10);
% 9.21/8.79     ALL U.
% 9.21/8.79        bnd_phi U = (EX V. (bnd_succ_cpq U V & bnd_ok V) & bnd_check_cpq V);
% 9.21/8.79     ALL U. bnd_pi_removemin U = Ex (bnd_pi_sharp_find_min (bnd_i U));
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_pi_sharp_removemin U V =
% 9.21/8.79        (bnd_contains_pq U V & bnd_issmallestelement_pq U V);
% 9.21/8.79     ALL U. bnd_pi_find_min U = Ex (bnd_pi_sharp_find_min (bnd_i U));
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_pi_sharp_find_min U V =
% 9.21/8.79        (bnd_contains_pq U V & bnd_issmallestelement_pq U V);
% 9.21/8.79     ALL U V. bnd_pi_remove U V = bnd_pi_sharp_remove (bnd_i U) V;
% 9.21/8.79     ALL U V. bnd_pi_sharp_remove U V = bnd_contains_pq U V;
% 9.21/8.79     ALL U V W X Y.
% 9.21/8.79        bnd_i (bnd_triple U (bnd_insert_slb V (bnd_pair X Y)) W) =
% 9.21/8.79        bnd_insert_pq (bnd_i (bnd_triple U V W)) X;
% 9.21/8.79     ALL U V. bnd_i (bnd_triple U bnd_create_slb V) = bnd_create_pq;
% 9.21/8.79     ALL U. bnd_removemin_cpq_res U = bnd_findmin_cpq_res U;
% 9.21/8.79     ALL U.
% 9.21/8.79        bnd_removemin_cpq_eff U =
% 9.21/8.79        bnd_remove_cpq (bnd_findmin_cpq_eff U) (bnd_findmin_cpq_res U);
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        ~ V = bnd_create_slb -->
% 9.21/8.79        bnd_findmin_cpq_res (bnd_triple U V W) = bnd_findmin_pqp_res U;
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_findmin_cpq_res (bnd_triple U bnd_create_slb V) = bnd_bottom;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        (~ V = bnd_create_slb & bnd_contains_slb V (bnd_findmin_pqp_res U)) &
% 9.21/8.79        bnd_less_than (bnd_lookup_slb V (bnd_findmin_pqp_res U))
% 9.21/8.79         (bnd_findmin_pqp_res U) -->
% 9.21/8.79        bnd_findmin_cpq_eff (bnd_triple U V W) =
% 9.21/8.79        bnd_triple U (bnd_update_slb V (bnd_findmin_pqp_res U)) W;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        (~ V = bnd_create_slb & bnd_contains_slb V (bnd_findmin_pqp_res U)) &
% 9.21/8.79        bnd_strictly_less_than (bnd_findmin_pqp_res U)
% 9.21/8.79         (bnd_lookup_slb V (bnd_findmin_pqp_res U)) -->
% 9.21/8.79        bnd_findmin_cpq_eff (bnd_triple U V W) =
% 9.21/8.79        bnd_triple U (bnd_update_slb V (bnd_findmin_pqp_res U)) bnd_bad;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        ~ V = bnd_create_slb &
% 9.21/8.79        ~ bnd_contains_slb V (bnd_findmin_pqp_res U) -->
% 9.21/8.79        bnd_findmin_cpq_eff (bnd_triple U V W) =
% 9.21/8.79        bnd_triple U (bnd_update_slb V (bnd_findmin_pqp_res U)) bnd_bad;
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_findmin_cpq_eff (bnd_triple U bnd_create_slb V) =
% 9.21/8.79        bnd_triple U bnd_create_slb bnd_bad;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        bnd_contains_slb V X &
% 9.21/8.79        bnd_strictly_less_than X (bnd_lookup_slb V X) -->
% 9.21/8.79        bnd_remove_cpq (bnd_triple U V W) X =
% 9.21/8.79        bnd_triple (bnd_remove_pqp U X) (bnd_remove_slb V X) bnd_bad;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        bnd_contains_slb V X & bnd_less_than (bnd_lookup_slb V X) X -->
% 9.21/8.79        bnd_remove_cpq (bnd_triple U V W) X =
% 9.21/8.79        bnd_triple (bnd_remove_pqp U X) (bnd_remove_slb V X) W;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        ~ bnd_contains_slb V X -->
% 9.21/8.79        bnd_remove_cpq (bnd_triple U V W) X = bnd_triple U V bnd_bad;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        bnd_insert_cpq (bnd_triple U V W) X =
% 9.21/8.79        bnd_triple (bnd_insert_pqp U X)
% 9.21/8.79         (bnd_insert_slb V (bnd_pair X bnd_bottom)) W;
% 9.21/8.79     ALL U V W. ~ bnd_ok (bnd_triple U V W) --> W = bnd_bad;
% 9.21/8.79     ALL U V. bnd_ok (bnd_triple U V bnd_bad) = False;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        bnd_contains_cpq (bnd_triple U V W) X = bnd_contains_slb V X;
% 9.21/8.79     ALL U V W X Y.
% 9.21/8.79        bnd_strictly_less_than X Y -->
% 9.21/8.79        bnd_check_cpq (bnd_triple U (bnd_insert_slb V (bnd_pair X Y)) W) =
% 9.21/8.79        False;
% 9.21/8.79     ALL U V W X Y.
% 9.21/8.79        bnd_less_than Y X -->
% 9.21/8.79        bnd_check_cpq (bnd_triple U (bnd_insert_slb V (bnd_pair X Y)) W) =
% 9.21/8.79        bnd_check_cpq (bnd_triple U V W);
% 9.21/8.79     ALL U V. bnd_check_cpq (bnd_triple U bnd_create_slb V);
% 9.21/8.79     ALL U V. bnd_succ_cpq U V --> bnd_succ_cpq U (bnd_removemin_cpq_eff V);
% 9.21/8.79     ALL U V. bnd_succ_cpq U V --> bnd_succ_cpq U (bnd_findmin_cpq_eff V);
% 9.21/8.79     ALL U V W. bnd_succ_cpq U V --> bnd_succ_cpq U (bnd_remove_cpq V W);
% 9.21/8.79     ALL U V W. bnd_succ_cpq U V --> bnd_succ_cpq U (bnd_insert_cpq V W);
% 9.21/8.79     ALL U. bnd_succ_cpq U U;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        bnd_less_than W X -->
% 9.21/8.79        bnd_update_slb (bnd_insert_slb U (bnd_pair V X)) W =
% 9.21/8.79        bnd_insert_slb (bnd_update_slb U W) (bnd_pair V X);
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        bnd_strictly_less_than X W -->
% 9.21/8.79        bnd_update_slb (bnd_insert_slb U (bnd_pair V X)) W =
% 9.21/8.79        bnd_insert_slb (bnd_update_slb U W) (bnd_pair V W);
% 9.21/8.79     ALL U. bnd_update_slb bnd_create_slb U = bnd_create_slb;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        ~ V = W & bnd_contains_slb U W -->
% 9.21/8.79        bnd_lookup_slb (bnd_insert_slb U (bnd_pair V X)) W =
% 9.21/8.79        bnd_lookup_slb U W;
% 9.21/8.79     ALL U V W. bnd_lookup_slb (bnd_insert_slb U (bnd_pair V W)) V = W;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        ~ V = W & bnd_contains_slb U W -->
% 9.21/8.79        bnd_remove_slb (bnd_insert_slb U (bnd_pair V X)) W =
% 9.21/8.79        bnd_insert_slb (bnd_remove_slb U W) (bnd_pair V X);
% 9.21/8.79     ALL U V W. bnd_remove_slb (bnd_insert_slb U (bnd_pair V W)) V = U;
% 9.21/8.79     ALL U V W X Y.
% 9.21/8.79        bnd_pair_in_list (bnd_insert_slb U (bnd_pair V X)) W Y =
% 9.21/8.79        (bnd_pair_in_list U W Y | V = W & X = Y);
% 9.21/8.79     ALL U V. ~ bnd_pair_in_list bnd_create_slb U V;
% 9.21/8.79     ALL U V W X.
% 9.21/8.79        bnd_contains_slb (bnd_insert_slb U (bnd_pair V X)) W =
% 9.21/8.79        (bnd_contains_slb U W | V = W);
% 9.21/8.79     ALL U. ~ bnd_contains_slb bnd_create_slb U;
% 9.21/8.79     ALL U V W. bnd_isnonempty_slb (bnd_insert_slb U (bnd_pair V W));
% 9.21/8.79     ~ bnd_isnonempty_slb bnd_create_slb;
% 9.21/8.79     ALL U V W.
% 9.21/8.79        bnd_insert_pq (bnd_insert_pq U V) W =
% 9.21/8.79        bnd_insert_pq (bnd_insert_pq U W) V;
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_contains_pq U V & bnd_issmallestelement_pq U V -->
% 9.21/8.79        bnd_removemin_pq_res U V = V;
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_contains_pq U V & bnd_issmallestelement_pq U V -->
% 9.21/8.79        bnd_removemin_pq_eff U V = bnd_remove_pq U V;
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_contains_pq U V & bnd_issmallestelement_pq U V -->
% 9.21/8.79        bnd_findmin_pq_res U V = V;
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_contains_pq U V & bnd_issmallestelement_pq U V -->
% 9.21/8.79        bnd_findmin_pq_eff U V = U;
% 9.21/8.79     ALL U V W.
% 9.21/8.79        bnd_contains_pq U W & ~ V = W -->
% 9.21/8.79        bnd_remove_pq (bnd_insert_pq U V) W =
% 9.21/8.79        bnd_insert_pq (bnd_remove_pq U W) V;
% 9.21/8.79     ALL U V. bnd_remove_pq (bnd_insert_pq U V) V = U;
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_issmallestelement_pq U V =
% 9.21/8.79        (ALL W. bnd_contains_pq U W --> bnd_less_than V W);
% 9.21/8.79     ALL U V W.
% 9.21/8.79        bnd_contains_pq (bnd_insert_pq U V) W = (bnd_contains_pq U W | V = W);
% 9.21/8.79     ALL U. ~ bnd_contains_pq bnd_create_pq U;
% 9.21/8.79     ALL U V. bnd_isnonempty_pq (bnd_insert_pq U V);
% 9.21/8.79     ~ bnd_isnonempty_pq bnd_create_pq; All (bnd_less_than bnd_bottom);
% 9.21/8.79     ALL U V.
% 9.21/8.79        bnd_strictly_less_than U V =
% 9.21/8.79        (bnd_less_than U V & ~ bnd_less_than V U);
% 9.21/8.79     ALL U. bnd_less_than U U; ALL U V. bnd_less_than U V | bnd_less_than V U;
% 9.21/8.79     ALL U V W. bnd_less_than U V & bnd_less_than V W --> bnd_less_than U W |]
% 9.21/8.79  ==> bnd_pi_find_min (bnd_triple U V W) -->
% 9.21/8.79      bnd_phi (bnd_findmin_cpq_eff (bnd_triple U V W)) -->
% 9.21/8.79      (EX X. bnd_pi_sharp_find_min (bnd_i (bnd_triple U V W)) X &
% 9.21/8.79             bnd_findmin_cpq_res (bnd_triple U V W) =
% 9.21/8.79             bnd_findmin_pq_res (bnd_i (bnd_triple U V W)) X)
% 9.21/8.79  Adding axioms...
% 9.21/8.80  Typedef.type_definition_def
% 28.04/27.57   ...done.
% 28.13/27.60  Ground types: ?'b, TPTP_Interpret.ind
% 28.13/27.60  Translating term (sizes: 1, 1) ...
% 38.35/37.87  Invoking SAT solver...
% 38.35/37.88  No model exists.
% 38.35/37.88  Translating term (sizes: 2, 1) ...
% 49.28/48.79  Invoking SAT solver...
% 49.28/48.79  No model exists.
% 49.28/48.79  Translating term (sizes: 1, 2) ...
% 233.80/232.40  Invoking SAT solver...
% 234.27/232.86  No model exists.
% 234.27/232.86  Translating term (sizes: 3, 1) ...
% 247.68/246.16  Invoking SAT solver...
% 247.68/246.16  No model exists.
% 247.68/246.16  Translating term (sizes: 2, 2) ...
% 300.07/298.03  /export/starexec/sandbox/solver/lib/scripts/run-polyml-5.5.2: line 82: 27335 CPU time limit exceeded (core dumped) "$ISABELLE_HOME/lib/scripts/feeder" -p -h "$MLTEXT" -t "$MLEXIT" $FEEDER_OPTS
% 300.07/298.03       27336                       (core dumped) | { read FPID; "$POLY" -q -i $ML_OPTIONS; RC="$?"; kill -TERM "$FPID"; exit "$RC"; }
% 300.07/298.04  /export/starexec/sandbox/solver/src/HOL/TPTP/lib/Tools/tptp_refute: line 26: 27281 Exit 152                "$ISABELLE_PROCESS" -q -e "use_thy \"/tmp/$SCRATCH\"; exit 1;" HOL-TPTP
% 300.07/298.04       27282 CPU time limit exceeded (core dumped) | grep --line-buffered -v "^###\|^PROOF FAILED for depth\|^Failure node\|inferences so far.  Searching to depth\|^val \|^Loading theory\|^Warning-The type of\|^   monotype.$"
%------------------------------------------------------------------------------