TSTP Solution File: SEU315+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU315+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:37 EDT 2022
% Result : Timeout 299.88s 300.04s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU315+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:37:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.82/2.02 ----- Otter 3.3f, August 2004 -----
% 1.82/2.02 The process was started by sandbox on n012.cluster.edu,
% 1.82/2.02 Wed Jul 27 07:37:35 2022
% 1.82/2.02 The command was "./otter". The process ID is 29872.
% 1.82/2.02
% 1.82/2.02 set(prolog_style_variables).
% 1.82/2.02 set(auto).
% 1.82/2.02 dependent: set(auto1).
% 1.82/2.02 dependent: set(process_input).
% 1.82/2.02 dependent: clear(print_kept).
% 1.82/2.02 dependent: clear(print_new_demod).
% 1.82/2.02 dependent: clear(print_back_demod).
% 1.82/2.02 dependent: clear(print_back_sub).
% 1.82/2.02 dependent: set(control_memory).
% 1.82/2.02 dependent: assign(max_mem, 12000).
% 1.82/2.02 dependent: assign(pick_given_ratio, 4).
% 1.82/2.02 dependent: assign(stats_level, 1).
% 1.82/2.02 dependent: assign(max_seconds, 10800).
% 1.82/2.02 clear(print_given).
% 1.82/2.02
% 1.82/2.02 formula_list(usable).
% 1.82/2.02 all A (A=A).
% 1.82/2.02 -(all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))-> (exists C (element(C,powerset(powerset(the_carrier(A))))& (all D (element(D,powerset(the_carrier(A)))-> (in(D,C)<-> (exists E (element(E,powerset(the_carrier(A)))&E=D&closed_subset(E,A)&subset(B,D)))))))))).
% 1.82/2.02 all A (v5_membered(A)->v4_membered(A)).
% 1.82/2.02 all A (v4_membered(A)->v3_membered(A)).
% 1.82/2.02 all A (v3_membered(A)->v2_membered(A)).
% 1.82/2.02 all A (v2_membered(A)->v1_membered(A)).
% 1.82/2.02 exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 1.82/2.02 all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 1.82/2.02 all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 1.82/2.02 all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 1.82/2.02 all A (v4_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 1.82/2.02 all A (v5_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&natural(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 1.82/2.02 all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 1.82/2.02 all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 1.82/2.02 all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 1.82/2.02 all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 1.82/2.02 all A (v5_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)))).
% 1.82/2.02 $T.
% 1.82/2.02 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.82/2.02 all A exists B (element(B,powerset(A))&empty(B)).
% 1.82/2.02 all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 1.82/2.02 all A B subset(A,A).
% 1.82/2.02 all A B (in(A,B)-> -in(B,A)).
% 1.82/2.02 $T.
% 1.82/2.02 all A (top_str(A)->one_sorted_str(A)).
% 1.82/2.02 $T.
% 1.82/2.02 $T.
% 1.82/2.02 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 1.82/2.02 all A (-empty(powerset(A))).
% 1.82/2.02 all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))-> (exists C all D (in(D,C)<->in(D,powerset(the_carrier(A)))& (exists E (element(E,powerset(the_carrier(A)))&E=D&closed_subset(E,A)&subset(B,D)))))).
% 1.82/2.02 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 1.82/2.02 $T.
% 1.82/2.02 all A exists B element(B,A).
% 1.82/2.02 empty(empty_set).
% 1.82/2.02 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 1.82/2.02 exists A empty(A).
% 1.82/2.02 exists A (-empty(A)).
% 1.82/2.02 all A (empty(A)->A=empty_set).
% 1.82/2.02 all A B (-(in(A,B)&empty(B))).
% 1.82/2.02 all A B (-(empty(A)&A!=B&empty(B))).
% 1.82/2.02 end_of_list.
% 1.82/2.02
% 1.82/2.02 -------> usable clausifies to:
% 1.82/2.02
% 1.82/2.02 list(usable).
% 1.82/2.02 0 [] A=A.
% 1.82/2.02 0 [] topological_space($c2).
% 1.82/2.02 0 [] top_str($c2).
% 1.82/2.02 0 [] element($c1,powerset(the_carrier($c2))).
% 1.82/2.02 0 [] -element(C,powerset(powerset(the_carrier($c2))))|element($f2(C),powerset(the_carrier($c2))).
% 1.82/2.02 0 [] -element(C,powerset(powerset(the_carrier($c2))))|in($f2(C),C)|element($f1(C),powerset(the_carrier($c2))).
% 1.82/2.02 0 [] -element(C,powerset(powerset(the_carrier($c2))))|in($f2(C),C)|$f1(C)=$f2(C).
% 1.82/2.02 0 [] -element(C,powerset(powerset(the_carrier($c2))))|in($f2(C),C)|closed_subset($f1(C),$c2).
% 1.82/2.02 0 [] -element(C,powerset(powerset(the_carrier($c2))))|in($f2(C),C)|subset($c1,$f2(C)).
% 1.82/2.02 0 [] -element(C,powerset(powerset(the_carrier($c2))))| -in($f2(C),C)| -element(E,powerset(the_carrier($c2)))|E!=$f2(C)| -closed_subset(E,$c2)| -subset($c1,$f2(C)).
% 1.82/2.02 0 [] -v5_membered(A)|v4_membered(A).
% 1.82/2.02 0 [] -v4_membered(A)|v3_membered(A).
% 1.82/2.02 0 [] -v3_membered(A)|v2_membered(A).
% 1.82/2.02 0 [] -v2_membered(A)|v1_membered(A).
% 1.82/2.02 0 [] -empty($c3).
% 1.82/2.02 0 [] v1_membered($c3).
% 1.82/2.02 0 [] v2_membered($c3).
% 1.82/2.02 0 [] v3_membered($c3).
% 1.82/2.02 0 [] v4_membered($c3).
% 1.82/2.02 0 [] v5_membered($c3).
% 1.82/2.02 0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.82/2.02 0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.82/2.02 0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.82/2.02 0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.82/2.02 0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 1.82/2.02 0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.82/2.02 0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.82/2.02 0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.82/2.02 0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.82/2.02 0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.82/2.02 0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.82/2.02 0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.82/2.02 0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 1.82/2.02 0 [] $T.
% 1.82/2.02 0 [] empty(A)|element($f3(A),powerset(A)).
% 1.82/2.02 0 [] empty(A)| -empty($f3(A)).
% 1.82/2.02 0 [] element($f4(A),powerset(A)).
% 1.82/2.02 0 [] empty($f4(A)).
% 1.82/2.02 0 [] -empty(A)|v1_membered(A).
% 1.82/2.02 0 [] -empty(A)|v2_membered(A).
% 1.82/2.02 0 [] -empty(A)|v3_membered(A).
% 1.82/2.02 0 [] -empty(A)|v4_membered(A).
% 1.82/2.02 0 [] -empty(A)|v5_membered(A).
% 1.82/2.02 0 [] subset(A,A).
% 1.82/2.02 0 [] -in(A,B)| -in(B,A).
% 1.82/2.02 0 [] $T.
% 1.82/2.02 0 [] -top_str(A)|one_sorted_str(A).
% 1.82/2.02 0 [] $T.
% 1.82/2.02 0 [] $T.
% 1.82/2.02 0 [] -topological_space(A)| -top_str(A)|element($f5(A),powerset(the_carrier(A))).
% 1.82/2.02 0 [] -topological_space(A)| -top_str(A)|closed_subset($f5(A),A).
% 1.82/2.02 0 [] -empty(powerset(A)).
% 1.82/2.02 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(D,$f7(A,B))|in(D,powerset(the_carrier(A))).
% 1.82/2.02 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(D,$f7(A,B))|element($f6(A,B,D),powerset(the_carrier(A))).
% 1.82/2.02 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(D,$f7(A,B))|$f6(A,B,D)=D.
% 1.82/2.02 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(D,$f7(A,B))|closed_subset($f6(A,B,D),A).
% 1.82/2.02 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(D,$f7(A,B))|subset(B,D).
% 1.82/2.02 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|in(D,$f7(A,B))| -in(D,powerset(the_carrier(A)))| -element(E,powerset(the_carrier(A)))|E!=D| -closed_subset(E,A)| -subset(B,D).
% 1.82/2.02 0 [] empty(A)| -element(B,A)|in(B,A).
% 1.82/2.02 0 [] empty(A)|element(B,A)| -in(B,A).
% 1.82/2.02 0 [] -empty(A)| -element(B,A)|empty(B).
% 1.82/2.02 0 [] -empty(A)|element(B,A)| -empty(B).
% 1.82/2.02 0 [] $T.
% 1.82/2.02 0 [] element($f8(A),A).
% 1.82/2.02 0 [] empty(empty_set).
% 1.82/2.02 0 [] in($f9(A,B),A)|element(A,powerset(B)).
% 1.82/2.02 0 [] -in($f9(A,B),B)|element(A,powerset(B)).
% 1.82/2.02 0 [] empty($c4).
% 1.82/2.02 0 [] -empty($c5).
% 1.82/2.02 0 [] -empty(A)|A=empty_set.
% 1.82/2.02 0 [] -in(A,B)| -empty(B).
% 1.82/2.02 0 [] -empty(A)|A=B| -empty(B).
% 1.82/2.02 end_of_list.
% 1.82/2.02
% 1.82/2.02 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 1.82/2.02
% 1.82/2.02 This ia a non-Horn set with equality. The strategy will be
% 1.82/2.02 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.82/2.02 deletion, with positive clauses in sos and nonpositive
% 1.82/2.02 clauses in usable.
% 1.82/2.02
% 1.82/2.02 dependent: set(knuth_bendix).
% 1.82/2.02 dependent: set(anl_eq).
% 1.82/2.02 dependent: set(para_from).
% 1.82/2.02 dependent: set(para_into).
% 1.82/2.02 dependent: clear(para_from_right).
% 1.82/2.02 dependent: clear(para_into_right).
% 1.82/2.02 dependent: set(para_from_vars).
% 1.82/2.02 dependent: set(eq_units_both_ways).
% 1.82/2.02 dependent: set(dynamic_demod_all).
% 1.82/2.02 dependent: set(dynamic_demod).
% 1.82/2.02 dependent: set(order_eq).
% 1.82/2.02 dependent: set(back_demod).
% 1.82/2.02 dependent: set(lrpo).
% 1.82/2.02 dependent: set(hyper_res).
% 1.82/2.02 dependent: set(unit_deletion).
% 1.82/2.02 dependent: set(factor).
% 1.82/2.02
% 1.82/2.02 ------------> process usable:
% 1.82/2.02 ** KEPT (pick-wt=12): 1 [] -element(A,powerset(powerset(the_carrier($c2))))|element($f2(A),powerset(the_carrier($c2))).
% 1.82/2.02 ** KEPT (pick-wt=16): 2 [] -element(A,powerset(powerset(the_carrier($c2))))|in($f2(A),A)|element($f1(A),powerset(the_carrier($c2))).
% 1.82/2.02 ** KEPT (pick-wt=15): 4 [copy,3,flip.3] -element(A,powerset(powerset(the_carrier($c2))))|in($f2(A),A)|$f2(A)=$f1(A).
% 1.82/2.02 ** KEPT (pick-wt=14): 5 [] -element(A,powerset(powerset(the_carrier($c2))))|in($f2(A),A)|closed_subset($f1(A),$c2).
% 1.82/2.02 ** KEPT (pick-wt=14): 6 [] -element(A,powerset(powerset(the_carrier($c2))))|in($f2(A),A)|subset($c1,$f2(A)).
% 1.82/2.02 ** KEPT (pick-wt=26): 7 [] -element(A,powerset(powerset(the_carrier($c2))))| -in($f2(A),A)| -element(B,powerset(the_carrier($c2)))|B!=$f2(A)| -closed_subset(B,$c2)| -subset($c1,$f2(A)).
% 1.82/2.02 ** KEPT (pick-wt=4): 8 [] -v5_membered(A)|v4_membered(A).
% 1.82/2.02 ** KEPT (pick-wt=4): 9 [] -v4_membered(A)|v3_membered(A).
% 1.82/2.02 ** KEPT (pick-wt=4): 10 [] -v3_membered(A)|v2_membered(A).
% 1.82/2.02 ** KEPT (pick-wt=4): 11 [] -v2_membered(A)|v1_membered(A).
% 1.82/2.02 ** KEPT (pick-wt=2): 12 [] -empty($c3).
% 1.82/2.02 ** KEPT (pick-wt=7): 13 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 14 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 15 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 16 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 17 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 18 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 19 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 20 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 21 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 22 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 23 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 24 [] -v5_membered(A)| -element(B,A)|natural(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 25 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 26 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 1.82/2.02 ** KEPT (pick-wt=7): 27 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 28 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 29 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 30 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 31 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 32 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 33 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 34 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 35 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 36 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 37 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 38 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 39 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 40 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 41 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=8): 42 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 1.82/2.02 ** KEPT (pick-wt=5): 43 [] empty(A)| -empty($f3(A)).
% 1.82/2.02 ** KEPT (pick-wt=4): 44 [] -empty(A)|v1_membered(A).
% 1.82/2.02 ** KEPT (pick-wt=4): 45 [] -empty(A)|v2_membered(A).
% 1.82/2.02 ** KEPT (pick-wt=4): 46 [] -empty(A)|v3_membered(A).
% 1.82/2.02 ** KEPT (pick-wt=4): 47 [] -empty(A)|v4_membered(A).
% 1.82/2.02 ** KEPT (piAlarm clock
% 299.88/300.04 Otter interrupted
% 299.88/300.04 PROOF NOT FOUND
%------------------------------------------------------------------------------