TSTP Solution File: GRP492-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n017.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 : 600s
% DateTime : Sat Jul 16 08:47:39 EDT 2022
% Result : Unsatisfiable 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 7 RR)
% Number of literals : 44 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))),C),
file('GRP492-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP492-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP492-1.p',unknown),
[] ).
cnf(4,plain,
equal(double_divide(A,double_divide(A,identity)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),1]),
[iquote('demod([3]),flip(1)')] ).
cnf(5,plain,
~ equal(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2,2,2,2]),1]),
[iquote('demod([2,2,2,2]),flip(1)')] ).
cnf(6,plain,
equal(double_divide(double_divide(identity,double_divide(identity,A)),double_divide(identity,double_divide(double_divide(B,identity),double_divide(C,double_divide(identity,double_divide(double_divide(double_divide(A,D),identity),double_divide(B,D))))))),C),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(identity,double_divide(double_divide(double_divide(B,C),identity),double_divide(D,C)))),identity),D))),double_divide(identity,B)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),A),identity),double_divide(B,A)))),B),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(9,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(B,double_divide(A,identity))))),B),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(10,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(B,identity)),identity),identity))),B),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(11,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,identity)),double_divide(double_divide(A,identity),identity)),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(12,plain,
equal(double_divide(double_divide(A,identity),identity),double_divide(double_divide(identity,A),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[11]),
[iquote('flip(11)')] ).
cnf(13,plain,
equal(double_divide(double_divide(double_divide(identity,identity),identity),identity),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,11]),4]),1]),
[iquote('para(4,11),demod([4]),flip(1)')] ).
cnf(14,plain,
equal(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),double_divide(identity,identity))),identity),
inference(para,[status(thm),theory(equality)],[12,4]),
[iquote('para(12,4)')] ).
cnf(16,plain,
equal(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(A,identity)),identity),identity))),A),
inference(para,[status(thm),theory(equality)],[4,8]),
[iquote('para(4,8)')] ).
cnf(17,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(identity,identity),identity))),A),
inference(para,[status(thm),theory(equality)],[4,9]),
[iquote('para(4,9)')] ).
cnf(20,plain,
equal(double_divide(double_divide(identity,double_divide(identity,A)),double_divide(identity,double_divide(double_divide(B,identity),B))),double_divide(identity,A)),
inference(para,[status(thm),theory(equality)],[1,6]),
[iquote('para(1,6)')] ).
cnf(22,plain,
equal(double_divide(identity,double_divide(identity,double_divide(double_divide(A,identity),A))),double_divide(identity,identity)),
inference(para,[status(thm),theory(equality)],[4,20]),
[iquote('para(4,20)')] ).
cnf(24,plain,
equal(double_divide(identity,identity),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,22]),22,4]),1]),
[iquote('para(13,22),demod([22,4]),flip(1)')] ).
cnf(26,plain,
equal(double_divide(double_divide(identity,A),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[17]),24,24,24]),
[iquote('back_demod(17),demod([24,24,24])')] ).
cnf(29,plain,
equal(double_divide(identity,double_divide(identity,double_divide(double_divide(A,identity),identity))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[16]),24,26]),
[iquote('back_demod(16),demod([24,26])')] ).
cnf(30,plain,
equal(double_divide(double_divide(A,identity),A),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[14]),24,26]),
[iquote('back_demod(14),demod([24,26])')] ).
cnf(31,plain,
equal(double_divide(double_divide(A,identity),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),24,26]),
[iquote('back_demod(12),demod([24,26])')] ).
cnf(32,plain,
equal(double_divide(identity,double_divide(identity,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),31]),
[iquote('back_demod(29),demod([31])')] ).
cnf(34,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(A,double_divide(B,identity)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),31]),
[iquote('back_demod(10),demod([31])')] ).
cnf(38,plain,
equal(double_divide(A,double_divide(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),24,26,32]),
[iquote('back_demod(8),demod([24,26,32])')] ).
cnf(44,plain,
equal(double_divide(A,identity),double_divide(identity,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,7]),32,30,24]),
[iquote('para(1,7),demod([32,30,24])')] ).
cnf(48,plain,
equal(double_divide(double_divide(A,B),A),B),
inference(para,[status(thm),theory(equality)],[38,38]),
[iquote('para(38,38)')] ).
cnf(52,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(A,double_divide(identity,double_divide(double_divide(double_divide(B,C),identity),double_divide(identity,C)))))),double_divide(identity,B)),
inference(para,[status(thm),theory(equality)],[31,7]),
[iquote('para(31,7)')] ).
cnf(58,plain,
equal(double_divide(A,double_divide(identity,double_divide(double_divide(identity,A),double_divide(B,identity)))),B),
inference(para,[status(thm),theory(equality)],[32,34]),
[iquote('para(32,34)')] ).
cnf(65,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(A,double_divide(identity,B)))),B),
inference(para,[status(thm),theory(equality)],[44,34]),
[iquote('para(44,34)')] ).
cnf(66,plain,
equal(double_divide(double_divide(double_divide(A,B),identity),double_divide(identity,B)),double_divide(identity,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[52]),65]),
[iquote('back_demod(52),demod([65])')] ).
cnf(71,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(A,B))),double_divide(identity,B)),
inference(para,[status(thm),theory(equality)],[48,34]),
[iquote('para(48,34)')] ).
cnf(81,plain,
equal(double_divide(A,double_divide(identity,double_divide(double_divide(identity,A),B))),double_divide(identity,B)),
inference(para,[status(thm),theory(equality)],[48,58]),
[iquote('para(48,58)')] ).
cnf(96,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(B,C)),identity),B))),C),
inference(para,[status(thm),theory(equality)],[38,1]),
[iquote('para(38,1)')] ).
cnf(100,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(B,identity)),identity),B),double_divide(identity,A)),
inference(para,[status(thm),theory(equality)],[38,66]),
[iquote('para(38,66)')] ).
cnf(122,plain,
equal(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(B,double_divide(identity,A)))),
inference(para,[status(thm),theory(equality)],[38,81]),
[iquote('para(38,81)')] ).
cnf(162,plain,
~ equal(double_divide(identity,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)),
inference(para,[status(thm),theory(equality)],[44,5]),
[iquote('para(44,5)')] ).
cnf(182,plain,
equal(double_divide(double_divide(A,double_divide(B,identity)),identity),double_divide(B,double_divide(identity,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[100,38]),1]),
[iquote('para(100,38),flip(1)')] ).
cnf(183,plain,
~ equal(double_divide(identity,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(b3,a3),double_divide(identity,c3))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[162]),182]),
[iquote('back_demod(162),demod([182])')] ).
cnf(244,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(B,C)),identity),B),double_divide(A,double_divide(identity,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,71]),32,32]),1]),
[iquote('para(96,71),demod([32,32]),flip(1)')] ).
cnf(334,plain,
equal(double_divide(double_divide(double_divide(A,B),identity),C),double_divide(A,double_divide(identity,double_divide(B,C)))),
inference(para,[status(thm),theory(equality)],[38,244]),
[iquote('para(38,244)')] ).
cnf(335,plain,
~ equal(double_divide(double_divide(b3,a3),double_divide(identity,c3)),double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[183]),334]),1]),
[iquote('back_demod(183),demod([334]),flip(1)')] ).
cnf(336,plain,
$false,
inference(conflict,[status(thm)],[335,122]),
[iquote('conflict(335,122)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n017.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 : 600
% 0.13/0.33 % DateTime : Tue Jun 14 03:49:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.13 ----- EQP 0.9e, May 2009 -----
% 0.72/1.13 The job began on n017.cluster.edu, Tue Jun 14 03:49:09 2022
% 0.72/1.13 The command was "./eqp09e".
% 0.72/1.13
% 0.72/1.13 set(prolog_style_variables).
% 0.72/1.13 set(lrpo).
% 0.72/1.13 set(basic_paramod).
% 0.72/1.13 set(functional_subsume).
% 0.72/1.13 set(ordered_paramod).
% 0.72/1.13 set(prime_paramod).
% 0.72/1.13 set(para_pairs).
% 0.72/1.13 assign(pick_given_ratio,4).
% 0.72/1.13 clear(print_kept).
% 0.72/1.13 clear(print_new_demod).
% 0.72/1.13 clear(print_back_demod).
% 0.72/1.13 clear(print_given).
% 0.72/1.13 assign(max_mem,64000).
% 0.72/1.13 end_of_commands.
% 0.72/1.13
% 0.72/1.13 Usable:
% 0.72/1.13 end_of_list.
% 0.72/1.13
% 0.72/1.13 Sos:
% 0.72/1.13 0 (wt=-1) [] double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C.
% 0.72/1.13 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.13 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.72/1.13 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.72/1.13 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.72/1.13 end_of_list.
% 0.72/1.13
% 0.72/1.13 Demodulators:
% 0.72/1.13 end_of_list.
% 0.72/1.13
% 0.72/1.13 Passive:
% 0.72/1.13 end_of_list.
% 0.72/1.13
% 0.72/1.13 Starting to process input.
% 0.72/1.13
% 0.72/1.13 ** KEPT: 1 (wt=17) [] double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C.
% 0.72/1.13 1 is a new demodulator.
% 0.72/1.13
% 0.72/1.13 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.13 2 is a new demodulator.
% 0.72/1.13
% 0.72/1.13 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.13 3 is a new demodulator.
% 0.72/1.13
% 0.72/1.13 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.13 4 is a new demodulator.
% 0.72/1.13
% 0.72/1.13 ** KEPT: 5 (wt=19) [demod([2,2,2,2]),flip(1)] -(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)).
% 0.72/1.13 ---------------- PROOF FOUND ----------------
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 After processing input:
% 0.72/1.13
% 0.72/1.13 Usable:
% 0.72/1.13 end_of_list.
% 0.72/1.13
% 0.72/1.13 Sos:
% 0.72/1.13 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.13 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.13 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.13 1 (wt=17) [] double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C.
% 0.72/1.13 5 (wt=19) [demod([2,2,2,2]),flip(1)] -(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)).
% 0.72/1.13 end_of_list.
% 0.72/1.13
% 0.72/1.13 Demodulators:
% 0.72/1.13 1 (wt=17) [] double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C.
% 0.72/1.13 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.13 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.13 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.13 end_of_list.
% 0.72/1.13
% 0.72/1.13 Passive:
% 0.72/1.13 end_of_list.
% 0.72/1.13
% 0.72/1.13 UNIT CONFLICT from 335 and 122 at 0.03 seconds.
% 0.72/1.13
% 0.72/1.13 ---------------- PROOF ----------------
% 0.72/1.13 % SZS output start Refutation
% See solution above
% 0.72/1.13 ------------ end of proof -------------
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 ------------- memory usage ------------
% 0.72/1.13 Memory dynamically allocated (tp_alloc): 488.
% 0.72/1.13 type (bytes each) gets frees in use avail bytes
% 0.72/1.13 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.72/1.13 term ( 16) 38631 32633 5998 29 116.4 K
% 0.72/1.13 gen_ptr ( 8) 42873 14492 28381 43 222.1 K
% 0.72/1.13 context ( 808) 37449 37447 2 6 6.3 K
% 0.72/1.13 trail ( 12) 1904 1904 0 6 0.1 K
% 0.72/1.13 bt_node ( 68) 16891 16888 3 28 2.1 K
% 0.72/1.13 ac_position (285432) 0 0 0 0 0.0 K
% 0.72/1.13 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.72/1.13 ac_match_free_vars_pos (4020)
% 0.72/1.13 0 0 0 0 0.0 K
% 0.72/1.13 discrim ( 12) 4870 3361 1509 586 24.6 K
% 0.72/1.13 flat ( 40) 73914 73914 0 33 1.3 K
% 0.72/1.13 discrim_pos ( 12) 2830 2830 0 1 0.0 K
% 0.72/1.13 fpa_head ( 12) 781 0 781 0 9.2 K
% 0.72/1.13 fpa_tree ( 28) 1957 1957 0 35 1.0 K
% 0.72/1.13 fpa_pos ( 36) 570 570 0 1 0.0 K
% 0.72/1.13 literal ( 12) 2150 1815 335 0 3.9 K
% 0.72/1.13 clause ( 24) 2150 1815 335 0 7.9 K
% 0.72/1.13 list ( 12) 294 237 57 4 0.7 K
% 0.72/1.13 list_pos ( 20) 1611 895 716 31 14.6 K
% 0.72/1.13 pair_index ( 40) 2 0 2 0 0.1 K
% 0.72/1.13
% 0.72/1.13 -------------- statistics -------------
% 0.72/1.13 Clauses input 5
% 0.72/1.13 Usable input 0
% 0.72/1.13 Sos input 5
% 0.72/1.13 Demodulators input 0
% 0.72/1.13 Passive input 0
% 0.72/1.13
% 0.72/1.13 Processed BS (before search) 5
% 0.72/1.13 Forward subsumed BS 0
% 0.72/1.13 Kept BS 5
% 0.72/1.13 New demodulators BS 4
% 0.72/1.13 Back demodulated BS 0
% 0.72/1.13
% 0.72/1.13 Clauses or pairs given 1523
% 0.72/1.13 Clauses generated 1500
% 0.72/1.13 Forward subsumed 1170
% 0.72/1.13 Deleted by weight 0
% 0.72/1.13 Deleted by variable count 0
% 0.72/1.13 Kept 330
% 0.72/1.13 New demodulators 231
% 0.72/1.13 Back demodulated 181
% 0.72/1.13 Ordered paramod prunes 0
% 0.72/1.13 Basic paramod prunes 5852
% 0.72/1.13 Prime paramod prunes 241
% 0.72/1.13 Semantic prunes 0
% 0.72/1.13
% 0.72/1.13 Rewrite attmepts 17735
% 0.72/1.13 Rewrites 2288
% 0.72/1.13
% 0.72/1.13 FPA overloads 0
% 0.72/1.13 FPA underloads 0
% 0.72/1.13
% 0.72/1.13 Usable size 0
% 0.72/1.13 Sos size 153
% 0.72/1.13 Demodulators size 74
% 0.72/1.13 Passive size 0
% 0.72/1.13 Disabled size 181
% 0.72/1.13
% 0.72/1.13 Proofs found 1
% 0.72/1.13
% 0.72/1.13 ----------- times (seconds) ----------- Tue Jun 14 03:49:09 2022
% 0.72/1.13
% 0.72/1.13 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.72/1.13 system CPU time 0.04 (0 hr, 0 min, 0 sec)
% 0.72/1.13 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.72/1.13 input time 0.00
% 0.72/1.13 paramodulation time 0.01
% 0.72/1.13 demodulation time 0.01
% 0.72/1.13 orient time 0.00
% 0.72/1.13 weigh time 0.00
% 0.72/1.13 forward subsume time 0.00
% 0.72/1.13 back demod find time 0.00
% 0.72/1.13 conflict time 0.00
% 0.72/1.13 LRPO time 0.00
% 0.72/1.13 store clause time 0.00
% 0.72/1.13 disable clause time 0.00
% 0.72/1.13 prime paramod time 0.00
% 0.72/1.13 semantics time 0.00
% 0.72/1.13
% 0.72/1.13 EQP interrupted
%------------------------------------------------------------------------------