TSTP Solution File: MGT043+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:06:10 EDT 2022
% Result : Theorem 4.62s 4.82s
% Output : Refutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 17 unt; 2 nHn; 22 RR)
% Number of literals : 43 ( 9 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( smaller_or_e_qual(A,B)
| A != B ),
file('MGT043+1.p',unknown),
[] ).
cnf(6,axiom,
( greater_or_e_qual(A,B)
| A != B ),
file('MGT043+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ smaller(A,B)
| greater(B,A) ),
file('MGT043+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| ~ greater(capability(A,C),capability(A,B))
| ~ greater_or_e_qual(position(A,C),position(A,B))
| smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ),
file('MGT043+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ organization(A)
| ~ smaller_or_e_qual(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| smaller(capability(A,B),capability(A,C)) ),
file('MGT043+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ organization(A)
| external_ties(A,B) != external_ties(A,C)
| position(A,B) = position(A,C) ),
file('MGT043+1.p',unknown),
[] ).
cnf(19,axiom,
~ has_immunity(dollar_c3,dollar_c2),
file('MGT043+1.p',unknown),
[] ).
cnf(20,axiom,
~ has_immunity(dollar_c3,dollar_c1),
file('MGT043+1.p',unknown),
[] ).
cnf(21,axiom,
~ greater(hazard_of_mortality(dollar_c3,dollar_c1),hazard_of_mortality(dollar_c3,dollar_c2)),
file('MGT043+1.p',unknown),
[] ).
cnf(24,axiom,
A = A,
file('MGT043+1.p',unknown),
[] ).
cnf(26,axiom,
organization(dollar_c3),
file('MGT043+1.p',unknown),
[] ).
cnf(27,axiom,
stock_of_knowledge(dollar_c3,dollar_c1) = stock_of_knowledge(dollar_c3,dollar_c2),
file('MGT043+1.p',unknown),
[] ).
cnf(28,plain,
stock_of_knowledge(dollar_c3,dollar_c2) = stock_of_knowledge(dollar_c3,dollar_c1),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[27])]),
[iquote('copy,27,flip.1')] ).
cnf(30,axiom,
greater(internal_friction(dollar_c3,dollar_c1),internal_friction(dollar_c3,dollar_c2)),
file('MGT043+1.p',unknown),
[] ).
cnf(31,axiom,
external_ties(dollar_c3,dollar_c2) = external_ties(dollar_c3,dollar_c1),
file('MGT043+1.p',unknown),
[] ).
cnf(33,plain,
greater_or_e_qual(A,A),
inference(hyper,[status(thm)],[24,6]),
[iquote('hyper,24,6')] ).
cnf(34,plain,
smaller_or_e_qual(A,A),
inference(hyper,[status(thm)],[24,3]),
[iquote('hyper,24,3')] ).
cnf(43,plain,
( ~ smaller_or_e_qual(stock_of_knowledge(dollar_c3,A),stock_of_knowledge(dollar_c3,dollar_c1))
| ~ greater(internal_friction(dollar_c3,A),internal_friction(dollar_c3,dollar_c2))
| smaller(capability(dollar_c3,A),capability(dollar_c3,dollar_c2)) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[28,15]),26]),
[iquote('para_from,28.1.1,15.2.2,unit_del,26')] ).
cnf(121,plain,
position(dollar_c3,dollar_c2) = position(dollar_c3,dollar_c1),
inference(hyper,[status(thm)],[31,18,26]),
[iquote('hyper,31,18,26')] ).
cnf(192,plain,
( has_immunity(dollar_c3,A)
| ~ greater(capability(dollar_c3,dollar_c2),capability(dollar_c3,A))
| ~ greater_or_e_qual(position(dollar_c3,dollar_c1),position(dollar_c3,A))
| smaller(hazard_of_mortality(dollar_c3,dollar_c2),hazard_of_mortality(dollar_c3,A)) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[121,11]),26,19]),
[iquote('para_from,121.1.1,11.5.1,unit_del,26,19')] ).
cnf(1716,plain,
smaller(capability(dollar_c3,dollar_c1),capability(dollar_c3,dollar_c2)),
inference(hyper,[status(thm)],[43,34,30]),
[iquote('hyper,43,34,30')] ).
cnf(1869,plain,
greater(capability(dollar_c3,dollar_c2),capability(dollar_c3,dollar_c1)),
inference(hyper,[status(thm)],[1716,7]),
[iquote('hyper,1716,7')] ).
cnf(3551,plain,
smaller(hazard_of_mortality(dollar_c3,dollar_c2),hazard_of_mortality(dollar_c3,dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[192,1869,33]),20]),
[iquote('hyper,192,1869,33,unit_del,20')] ).
cnf(3552,plain,
greater(hazard_of_mortality(dollar_c3,dollar_c1),hazard_of_mortality(dollar_c3,dollar_c2)),
inference(hyper,[status(thm)],[3551,7]),
[iquote('hyper,3551,7')] ).
cnf(3553,plain,
$false,
inference(binary,[status(thm)],[3552,21]),
[iquote('binary,3552.1,21.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 04:02:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.30/1.84 ----- Otter 3.3f, August 2004 -----
% 1.30/1.84 The process was started by sandbox on n003.cluster.edu,
% 1.30/1.84 Wed Jul 27 04:02:56 2022
% 1.30/1.84 The command was "./otter". The process ID is 29841.
% 1.30/1.84
% 1.30/1.84 set(prolog_style_variables).
% 1.30/1.84 set(auto).
% 1.30/1.84 dependent: set(auto1).
% 1.30/1.84 dependent: set(process_input).
% 1.30/1.84 dependent: clear(print_kept).
% 1.30/1.84 dependent: clear(print_new_demod).
% 1.30/1.84 dependent: clear(print_back_demod).
% 1.30/1.84 dependent: clear(print_back_sub).
% 1.30/1.84 dependent: set(control_memory).
% 1.30/1.84 dependent: assign(max_mem, 12000).
% 1.30/1.84 dependent: assign(pick_given_ratio, 4).
% 1.30/1.84 dependent: assign(stats_level, 1).
% 1.30/1.84 dependent: assign(max_seconds, 10800).
% 1.30/1.84 clear(print_given).
% 1.30/1.84
% 1.30/1.84 formula_list(usable).
% 1.30/1.84 all A (A=A).
% 1.30/1.84 all X Y (smaller_or_e_qual(X,Y)<->smaller(X,Y)|X=Y).
% 1.30/1.84 all X Y (greater_or_e_qual(X,Y)<->greater(X,Y)|X=Y).
% 1.30/1.84 all X Y (smaller(X,Y)<->greater(Y,X)).
% 1.30/1.84 all X Y (-(greater(X,Y)&greater(Y,X))).
% 1.30/1.84 all X Y Z (greater(X,Y)&greater(Y,Z)->greater(X,Z)).
% 1.30/1.84 all X Y (smaller(X,Y)|X=Y|greater(X,Y)).
% 1.30/1.84 all X T0 T (organization(X)& -has_immunity(X,T0)& -has_immunity(X,T)-> (greater(capability(X,T),capability(X,T0))&greater_or_e_qual(position(X,T),position(X,T0))->smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))& (greater_or_e_qual(capability(X,T),capability(X,T0))&greater(position(X,T),position(X,T0))->smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))& (capability(X,T)=capability(X,T0)&position(X,T)=position(X,T0)->hazard_of_mortality(X,T)=hazard_of_mortality(X,T0))).
% 1.30/1.84 all X T0 T (organization(X)-> (greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))&smaller_or_e_qual(internal_friction(X,T),internal_friction(X,T0))->greater(capability(X,T),capability(X,T0)))& (smaller_or_e_qual(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))&greater(internal_friction(X,T),internal_friction(X,T0))->smaller(capability(X,T),capability(X,T0)))& (stock_of_knowledge(X,T)=stock_of_knowledge(X,T0)&internal_friction(X,T)=internal_friction(X,T0)->capability(X,T)=capability(X,T0))).
% 1.30/1.84 all X T0 T (organization(X)-> (greater(external_ties(X,T),external_ties(X,T0))->greater(position(X,T),position(X,T0)))& (external_ties(X,T)=external_ties(X,T0)->position(X,T)=position(X,T0))).
% 1.30/1.84 -(all X T0 T (organization(X)& -has_immunity(X,T0)& -has_immunity(X,T)&stock_of_knowledge(X,T)=stock_of_knowledge(X,T0)&greater(internal_friction(X,T),internal_friction(X,T0))&external_ties(X,T0)=external_ties(X,T)->greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))).
% 1.30/1.84 end_of_list.
% 1.30/1.84
% 1.30/1.84 -------> usable clausifies to:
% 1.30/1.84
% 1.30/1.84 list(usable).
% 1.30/1.84 0 [] A=A.
% 1.30/1.84 0 [] -smaller_or_e_qual(X,Y)|smaller(X,Y)|X=Y.
% 1.30/1.84 0 [] smaller_or_e_qual(X,Y)| -smaller(X,Y).
% 1.30/1.84 0 [] smaller_or_e_qual(X,Y)|X!=Y.
% 1.30/1.84 0 [] -greater_or_e_qual(X,Y)|greater(X,Y)|X=Y.
% 1.30/1.84 0 [] greater_or_e_qual(X,Y)| -greater(X,Y).
% 1.30/1.84 0 [] greater_or_e_qual(X,Y)|X!=Y.
% 1.30/1.84 0 [] -smaller(X,Y)|greater(Y,X).
% 1.30/1.84 0 [] smaller(X,Y)| -greater(Y,X).
% 1.30/1.84 0 [] -greater(X,Y)| -greater(Y,X).
% 1.30/1.84 0 [] -greater(X,Y)| -greater(Y,Z)|greater(X,Z).
% 1.30/1.84 0 [] smaller(X,Y)|X=Y|greater(X,Y).
% 1.30/1.84 0 [] -organization(X)|has_immunity(X,T0)|has_immunity(X,T)| -greater(capability(X,T),capability(X,T0))| -greater_or_e_qual(position(X,T),position(X,T0))|smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)).
% 1.30/1.84 0 [] -organization(X)|has_immunity(X,T0)|has_immunity(X,T)| -greater_or_e_qual(capability(X,T),capability(X,T0))| -greater(position(X,T),position(X,T0))|smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)).
% 1.30/1.84 0 [] -organization(X)|has_immunity(X,T0)|has_immunity(X,T)|capability(X,T)!=capability(X,T0)|position(X,T)!=position(X,T0)|hazard_of_mortality(X,T)=hazard_of_mortality(X,T0).
% 1.30/1.84 0 [] -organization(X)| -greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))| -smaller_or_e_qual(internal_friction(X,T),internal_friction(X,T0))|greater(capability(X,T),capability(X,T0)).
% 1.30/1.84 0 [] -organization(X)| -smaller_or_e_qual(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))| -greater(internal_friction(X,T),internal_friction(X,T0))|smaller(capability(X,T),capability(X,T0)).
% 1.30/1.84 0 [] -organization(X)|stock_of_knowledge(X,T)!=stock_of_knowledge(X,T0)|internal_friction(X,T)!=internal_friction(X,T0)|capability(X,T)=capability(X,T0).
% 1.30/1.84 0 [] -organization(X)| -greater(external_ties(X,T),external_ties(X,T0))|greater(position(X,T),position(X,T0)).
% 1.30/1.84 0 [] -organization(X)|external_ties(X,T)!=external_ties(X,T0)|position(X,T)=position(X,T0).
% 1.30/1.84 0 [] organization($c3).
% 1.30/1.84 0 [] -has_immunity($c3,$c2).
% 1.30/1.84 0 [] -has_immunity($c3,$c1).
% 1.30/1.84 0 [] stock_of_knowledge($c3,$c1)=stock_of_knowledge($c3,$c2).
% 1.30/1.84 0 [] greater(internal_friction($c3,$c1),internal_friction($c3,$c2)).
% 1.30/1.84 0 [] external_ties($c3,$c2)=external_ties($c3,$c1).
% 1.30/1.84 0 [] -greater(hazard_of_mortality($c3,$c1),hazard_of_mortality($c3,$c2)).
% 1.30/1.84 end_of_list.
% 1.30/1.84
% 1.30/1.84 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.30/1.84
% 1.30/1.84 This ia a non-Horn set with equality. The strategy will be
% 1.30/1.84 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.30/1.84 deletion, with positive clauses in sos and nonpositive
% 1.30/1.84 clauses in usable.
% 1.30/1.84
% 1.30/1.84 dependent: set(knuth_bendix).
% 1.30/1.84 dependent: set(anl_eq).
% 1.30/1.84 dependent: set(para_from).
% 1.30/1.84 dependent: set(para_into).
% 1.30/1.84 dependent: clear(para_from_right).
% 1.30/1.84 dependent: clear(para_into_right).
% 1.30/1.84 dependent: set(para_from_vars).
% 1.30/1.84 dependent: set(eq_units_both_ways).
% 1.30/1.84 dependent: set(dynamic_demod_all).
% 1.30/1.84 dependent: set(dynamic_demod).
% 1.30/1.84 dependent: set(order_eq).
% 1.30/1.84 dependent: set(back_demod).
% 1.30/1.84 dependent: set(lrpo).
% 1.30/1.84 dependent: set(hyper_res).
% 1.30/1.84 dependent: set(unit_deletion).
% 1.30/1.84 dependent: set(factor).
% 1.30/1.84
% 1.30/1.84 ------------> process usable:
% 1.30/1.84 ** KEPT (pick-wt=9): 1 [] -smaller_or_e_qual(A,B)|smaller(A,B)|A=B.
% 1.30/1.84 ** KEPT (pick-wt=6): 2 [] smaller_or_e_qual(A,B)| -smaller(A,B).
% 1.30/1.84 ** KEPT (pick-wt=6): 3 [] smaller_or_e_qual(A,B)|A!=B.
% 1.30/1.84 ** KEPT (pick-wt=9): 4 [] -greater_or_e_qual(A,B)|greater(A,B)|A=B.
% 1.30/1.84 ** KEPT (pick-wt=6): 5 [] greater_or_e_qual(A,B)| -greater(A,B).
% 1.30/1.84 ** KEPT (pick-wt=6): 6 [] greater_or_e_qual(A,B)|A!=B.
% 1.30/1.84 ** KEPT (pick-wt=6): 7 [] -smaller(A,B)|greater(B,A).
% 1.30/1.84 ** KEPT (pick-wt=6): 8 [] smaller(A,B)| -greater(B,A).
% 1.30/1.84 ** KEPT (pick-wt=6): 9 [] -greater(A,B)| -greater(B,A).
% 1.30/1.84 ** KEPT (pick-wt=9): 10 [] -greater(A,B)| -greater(B,C)|greater(A,C).
% 1.30/1.84 ** KEPT (pick-wt=29): 11 [] -organization(A)|has_immunity(A,B)|has_immunity(A,C)| -greater(capability(A,C),capability(A,B))| -greater_or_e_qual(position(A,C),position(A,B))|smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)).
% 1.30/1.84 ** KEPT (pick-wt=29): 12 [] -organization(A)|has_immunity(A,B)|has_immunity(A,C)| -greater_or_e_qual(capability(A,C),capability(A,B))| -greater(position(A,C),position(A,B))|smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)).
% 1.30/1.84 ** KEPT (pick-wt=29): 13 [] -organization(A)|has_immunity(A,B)|has_immunity(A,C)|capability(A,C)!=capability(A,B)|position(A,C)!=position(A,B)|hazard_of_mortality(A,C)=hazard_of_mortality(A,B).
% 1.30/1.84 ** KEPT (pick-wt=23): 14 [] -organization(A)| -greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))| -smaller_or_e_qual(internal_friction(A,B),internal_friction(A,C))|greater(capability(A,B),capability(A,C)).
% 1.30/1.84 ** KEPT (pick-wt=23): 15 [] -organization(A)| -smaller_or_e_qual(stock_of_knowledge(A,B),stock_of_knowledge(A,C))| -greater(internal_friction(A,B),internal_friction(A,C))|smaller(capability(A,B),capability(A,C)).
% 1.30/1.84 ** KEPT (pick-wt=23): 16 [] -organization(A)|stock_of_knowledge(A,B)!=stock_of_knowledge(A,C)|internal_friction(A,B)!=internal_friction(A,C)|capability(A,B)=capability(A,C).
% 1.30/1.84 ** KEPT (pick-wt=16): 17 [] -organization(A)| -greater(external_ties(A,B),external_ties(A,C))|greater(position(A,B),position(A,C)).
% 1.30/1.84 ** KEPT (pick-wt=16): 18 [] -organization(A)|external_ties(A,B)!=external_ties(A,C)|position(A,B)=position(A,C).
% 1.30/1.84 ** KEPT (pick-wt=3): 19 [] -has_immunity($c3,$c2).
% 1.30/1.84 ** KEPT (pick-wt=3): 20 [] -has_immunity($c3,$c1).
% 1.30/1.84 ** KEPT (pick-wt=7): 21 [] -greater(hazard_of_mortality($c3,$c1),hazard_of_mortality($c3,$c2)).
% 1.30/1.84
% 1.30/1.84 ------------> process sos:
% 1.30/1.84 ** KEPT (pick-wt=3): 24 [] A=A.
% 1.30/1.84 ** KEPT (pick-wt=9): 25 [] smaller(A,B)|A=B|greater(A,B).
% 1.30/1.84 ** KEPT (pick-wt=2): 26 [] organization($c3).
% 1.30/1.84 ** KEPT (pick-wt=7): 28 [copy,27,flip.1] stock_of_knowledge($c3,$c2)=stock_of_knowledge($c3,$c1).
% 1.30/1.84 ---> New Demodulator: 29 [new_demod,28] stock_of_knowledge($c3,$c2)=stock_of_knowledge($c3,$c1).
% 1.30/1.84 ** KEPT (pick-wt=7): 30 [] greater(internal_friction($c3,$c1),internal_friction($c3,$c2)).
% 4.62/4.82 ** KEPT (pick-wt=7): 31 [] external_ties($c3,$c2)=external_ties($c3,$c1).
% 4.62/4.82 ---> New Demodulator: 32 [new_demod,31] external_ties($c3,$c2)=external_ties($c3,$c1).
% 4.62/4.82 Following clause subsumed by 24 during input processing: 0 [copy,24,flip.1] A=A.
% 4.62/4.82 24 back subsumes 23.
% 4.62/4.82 >>>> Starting back demodulation with 29.
% 4.62/4.82 >>>> Starting back demodulation with 32.
% 4.62/4.82
% 4.62/4.82 ======= end of input processing =======
% 4.62/4.82
% 4.62/4.82 =========== start of search ===========
% 4.62/4.82
% 4.62/4.82
% 4.62/4.82 Resetting weight limit to 13.
% 4.62/4.82
% 4.62/4.82
% 4.62/4.82 Resetting weight limit to 13.
% 4.62/4.82
% 4.62/4.82 sos_size=2967
% 4.62/4.82
% 4.62/4.82
% 4.62/4.82 Resetting weight limit to 12.
% 4.62/4.82
% 4.62/4.82
% 4.62/4.82 Resetting weight limit to 12.
% 4.62/4.82
% 4.62/4.82 sos_size=3185
% 4.62/4.82
% 4.62/4.82 -------- PROOF --------
% 4.62/4.82
% 4.62/4.82 ----> UNIT CONFLICT at 2.98 sec ----> 3553 [binary,3552.1,21.1] $F.
% 4.62/4.82
% 4.62/4.82 Length of proof is 10. Level of proof is 6.
% 4.62/4.82
% 4.62/4.82 ---------------- PROOF ----------------
% 4.62/4.82 % SZS status Theorem
% 4.62/4.82 % SZS output start Refutation
% See solution above
% 4.62/4.82 ------------ end of proof -------------
% 4.62/4.82
% 4.62/4.82
% 4.62/4.82 Search stopped by max_proofs option.
% 4.62/4.82
% 4.62/4.82
% 4.62/4.82 Search stopped by max_proofs option.
% 4.62/4.82
% 4.62/4.82 ============ end of search ============
% 4.62/4.82
% 4.62/4.82 -------------- statistics -------------
% 4.62/4.82 clauses given 462
% 4.62/4.82 clauses generated 68604
% 4.62/4.82 clauses kept 3548
% 4.62/4.82 clauses forward subsumed 6668
% 4.62/4.82 clauses back subsumed 204
% 4.62/4.82 Kbytes malloced 4882
% 4.62/4.82
% 4.62/4.82 ----------- times (seconds) -----------
% 4.62/4.82 user CPU time 2.98 (0 hr, 0 min, 2 sec)
% 4.62/4.82 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 4.62/4.82 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 4.62/4.82
% 4.62/4.82 That finishes the proof of the theorem.
% 4.62/4.82
% 4.62/4.82 Process 29841 finished Wed Jul 27 04:03:01 2022
% 4.62/4.82 Otter interrupted
% 4.62/4.82 PROOF FOUND
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