TSTP Solution File: GRP428-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP428-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 12:56:59 EDT 2022
% Result : Unsatisfiable 1.81s 2.05s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 2
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 2 RR)
% Number of literals : 57 ( 56 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 180 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('GRP428-1.p',unknown),
[] ).
cnf(4,axiom,
multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C,
file('GRP428-1.p',unknown),
[] ).
cnf(5,plain,
multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),inverse(multiply(B,D))))) = inverse(multiply(multiply(inverse(multiply(inverse(E),multiply(inverse(inverse(A)),C))),F),inverse(multiply(E,F)))),
inference(para_into,[status(thm),theory(equality)],[4,4]),
[iquote('para_into,3.1.1.2.1.1.1.1.2,3.1.1')] ).
cnf(20,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(inverse(B),C)))),D),inverse(multiply(A,D)))) = C,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[5,4])]),
[iquote('para_into,5.1.1,3.1.1,flip.1')] ).
cnf(38,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(B,C)))),D),inverse(multiply(A,D)))) = C,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[20,20]),20]),
[iquote('para_into,19.1.1.1.1.1.1.2.1.1,19.1.1,demod,20')] ).
cnf(70,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(inverse(C),multiply(C,D))))),E),inverse(multiply(A,E)))) = multiply(B,D),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[38,5])]),
[iquote('para_from,38.1.1,5.1.1.2,flip.1')] ).
cnf(171,plain,
multiply(inverse(A),multiply(A,B)) = multiply(inverse(C),multiply(C,B)),
inference(para_from,[status(thm),theory(equality)],[70,4]),
[iquote('para_from,69.1.1,3.1.1.2')] ).
cnf(190,plain,
multiply(inverse(inverse(A)),multiply(inverse(B),multiply(B,C))) = multiply(inverse(D),multiply(D,multiply(A,C))),
inference(para_into,[status(thm),theory(equality)],[171,171]),
[iquote('para_into,171.1.1.2,171.1.1')] ).
cnf(193,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),inverse(multiply(B,D)))))) = C,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[171,5]),4])]),
[iquote('para_into,171.1.1.2,5.1.1,demod,4,flip.1')] ).
cnf(206,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),D),inverse(multiply(inverse(B),D)))) = C,
inference(para_from,[status(thm),theory(equality)],[171,38]),
[iquote('para_from,171.1.1,38.1.1.1.1.1.1')] ).
cnf(223,plain,
multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),D),inverse(multiply(inverse(A),D))))) = C,
inference(para_from,[status(thm),theory(equality)],[171,4]),
[iquote('para_from,171.1.1,3.1.1.2.1.1.1.1')] ).
cnf(240,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),D),inverse(multiply(E,D)))))) = multiply(E,C),
inference(para_into,[status(thm),theory(equality)],[193,171]),
[iquote('para_into,193.1.1.2.2.1.1.1.1,171.1.1')] ).
cnf(243,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(multiply(D,multiply(multiply(inverse(D),E),C))))))) = E,
inference(para_into,[status(thm),theory(equality)],[193,171]),
[iquote('para_into,193.1.1.2.2.1.1,171.1.1')] ).
cnf(249,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),multiply(B,D)),inverse(multiply(inverse(E),multiply(E,D))))) = C,
inference(para_into,[status(thm),theory(equality)],[206,171]),
[iquote('para_into,206.1.1.1.2.1,171.1.1')] ).
cnf(250,plain,
multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(multiply(inverse(A),multiply(multiply(inverse(D),multiply(D,E)),C)))))) = E,
inference(para_into,[status(thm),theory(equality)],[223,171]),
[iquote('para_into,223.1.1.2.1.1,171.1.1')] ).
cnf(259,plain,
multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,inverse(C)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[250,243]),243]),
[iquote('para_into,250.1.1.2.1.2.1,242.1.1,demod,243')] ).
cnf(279,plain,
multiply(inverse(multiply(inverse(A),multiply(A,B))),B) = multiply(inverse(multiply(inverse(C),multiply(C,D))),D),
inference(para_from,[status(thm),theory(equality)],[259,240]),
[iquote('para_from,258.1.1,240.1.1.2')] ).
cnf(281,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))),inverse(multiply(D,E)))))) = multiply(D,E),
inference(para_from,[status(thm),theory(equality)],[259,243]),
[iquote('para_from,258.1.1,242.1.1.2.2.1.2.1.2')] ).
cnf(289,plain,
multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(B),multiply(B,C))),C)) = multiply(inverse(D),multiply(D,multiply(A,inverse(multiply(E,inverse(E)))))),
inference(para_from,[status(thm),theory(equality)],[259,190]),
[iquote('para_from,258.1.1,190.1.1.2.2')] ).
cnf(293,plain,
multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))) = multiply(inverse(inverse(B)),multiply(inverse(multiply(inverse(D),multiply(D,E))),E)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[289])]),
[iquote('copy,289,flip.1')] ).
cnf(301,plain,
multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(B),multiply(B,C))),C)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[279,243]),243]),
[iquote('para_from,279.1.1,242.1.1.2,demod,243')] ).
cnf(306,plain,
multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[293]),301]),
[iquote('back_demod,293,demod,301')] ).
cnf(322,plain,
multiply(A,inverse(multiply(B,inverse(B)))) = multiply(A,inverse(multiply(C,inverse(C)))),
inference(para_from,[status(thm),theory(equality)],[306,259]),
[iquote('para_from,306.1.1,258.1.1.1')] ).
cnf(380,plain,
multiply(inverse(A),inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),multiply(inverse(multiply(inverse(D),multiply(D,E))),E)),inverse(A)))) = C,
inference(para_from,[status(thm),theory(equality)],[301,223]),
[iquote('para_from,300.1.1,223.1.1.2.1.2.1')] ).
cnf(399,plain,
multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,inverse(C))))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[322,243]),281]),
[iquote('para_from,322.1.1,242.1.1.2.2.1.2.1.2,demod,281')] ).
cnf(403,plain,
inverse(multiply(A,inverse(A))) = inverse(multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[322,259]),259]),
[iquote('para_from,322.1.1,258.1.1.1.2,demod,259')] ).
cnf(432,plain,
multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)) = multiply(inverse(D),multiply(D,C)),
inference(para_from,[status(thm),theory(equality)],[403,171]),
[iquote('para_from,403.1.1,171.1.1.1')] ).
cnf(437,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[403,301]),301]),
[iquote('para_from,403.1.1,300.1.1.1.1,demod,301')] ).
cnf(451,plain,
multiply(multiply(A,inverse(A)),B) = multiply(multiply(C,inverse(C)),B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[403,70]),70]),
[iquote('para_from,403.1.1,69.1.1.1.1.1.1.2.1.1,demod,70')] ).
cnf(568,plain,
multiply(A,multiply(B,inverse(B))) = inverse(inverse(A)),
inference(para_into,[status(thm),theory(equality)],[399,437]),
[iquote('para_into,399.1.1.2,437.1.1')] ).
cnf(570,plain,
inverse(inverse(A)) = multiply(A,multiply(B,inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[568])]),
[iquote('copy,568,flip.1')] ).
cnf(581,plain,
multiply(inverse(A),multiply(A,inverse(B))) = inverse(inverse(inverse(B))),
inference(para_into,[status(thm),theory(equality)],[568,171]),
[iquote('para_into,568.1.1,171.1.1')] ).
cnf(659,plain,
multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(B),inverse(inverse(B)))),multiply(C,inverse(C)))) = A,
inference(para_from,[status(thm),theory(equality)],[568,301]),
[iquote('para_from,568.1.1,300.1.1.2.1.1.2')] ).
cnf(661,plain,
multiply(inverse(inverse(A)),multiply(inverse(B),inverse(inverse(B)))) = multiply(inverse(C),multiply(C,multiply(A,multiply(D,inverse(D))))),
inference(para_from,[status(thm),theory(equality)],[568,190]),
[iquote('para_from,568.1.1,190.1.1.2.2')] ).
cnf(694,plain,
multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(C))))) = multiply(inverse(inverse(B)),multiply(inverse(D),inverse(inverse(D)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[661])]),
[iquote('copy,661,flip.1')] ).
cnf(772,plain,
multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(C))))) = inverse(inverse(inverse(inverse(B)))),
inference(para_into,[status(thm),theory(equality)],[581,570]),
[iquote('para_into,581.1.1.2.2,570.1.1')] ).
cnf(774,plain,
multiply(inverse(A),multiply(A,B)) = inverse(inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[581,249]),249]),
[iquote('para_into,581.1.1.2.2,248.1.1,demod,249')] ).
cnf(778,plain,
inverse(inverse(inverse(inverse(A)))) = multiply(inverse(B),multiply(B,multiply(A,multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[772])]),
[iquote('copy,772,flip.1')] ).
cnf(780,plain,
inverse(inverse(A)) = multiply(inverse(B),multiply(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[774])]),
[iquote('copy,774,flip.1')] ).
cnf(848,plain,
multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))) = A,
inference(para_from,[status(thm),theory(equality)],[774,259]),
[iquote('para_from,774.1.1,258.1.1.1')] ).
cnf(940,plain,
multiply(multiply(inverse(A),multiply(inverse(B),multiply(B,A))),C) = multiply(multiply(D,inverse(D)),C),
inference(para_from,[status(thm),theory(equality)],[780,451]),
[iquote('para_from,780.1.1,451.1.1.1.2')] ).
cnf(958,plain,
multiply(inverse(multiply(inverse(A),multiply(A,B))),multiply(inverse(multiply(inverse(C),multiply(C,D))),D)) = inverse(B),
inference(para_from,[status(thm),theory(equality)],[780,301]),
[iquote('para_from,780.1.1,300.1.1.1.1')] ).
cnf(984,plain,
multiply(multiply(A,inverse(A)),B) = multiply(multiply(inverse(C),multiply(inverse(D),multiply(D,C))),B),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[940])]),
[iquote('copy,940,flip.1')] ).
cnf(989,plain,
multiply(inverse(A),inverse(multiply(inverse(B),inverse(A)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[380]),958]),
[iquote('back_demod,380,demod,958')] ).
cnf(1070,plain,
multiply(A,inverse(multiply(inverse(B),A))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[989,249]),249]),
[iquote('para_into,989.1.1.1,248.1.1,demod,249')] ).
cnf(1075,plain,
multiply(inverse(multiply(A,inverse(A))),inverse(B)) = inverse(B),
inference(para_into,[status(thm),theory(equality)],[989,848]),
[iquote('para_into,989.1.1.2.1,848.1.1')] ).
cnf(1077,plain,
inverse(multiply(inverse(A),inverse(multiply(B,inverse(B))))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[989,322]),1075]),
[iquote('para_into,989.1.1.2.1,322.1.1,demod,1075')] ).
cnf(1084,plain,
multiply(multiply(A,inverse(A)),inverse(inverse(inverse(inverse(B))))) = B,
inference(para_into,[status(thm),theory(equality)],[1070,568]),
[iquote('para_into,1070.1.1.2.1,568.1.1')] ).
cnf(1087,plain,
multiply(inverse(multiply(A,inverse(A))),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1070,322]),1077]),
[iquote('para_into,1070.1.1.2.1,322.1.1,demod,1077')] ).
cnf(1100,plain,
multiply(inverse(inverse(A)),multiply(B,inverse(B))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[659]),1087]),
[iquote('back_demod,659,demod,1087')] ).
cnf(1107,plain,
multiply(multiply(A,inverse(A)),B) = multiply(inverse(C),multiply(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[432]),1087]),
[iquote('back_demod,432,demod,1087')] ).
cnf(1113,plain,
multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(C))))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[694]),1100]),
[iquote('back_demod,694,demod,1100')] ).
cnf(1117,plain,
inverse(inverse(inverse(inverse(A)))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[778]),1113]),
[iquote('back_demod,778,demod,1113')] ).
cnf(1121,plain,
multiply(multiply(A,inverse(A)),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1084]),1117]),
[iquote('back_demod,1084,demod,1117')] ).
cnf(1131,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1107]),1121])]),
[iquote('back_demod,1107,demod,1121,flip.1')] ).
cnf(1138,plain,
multiply(multiply(inverse(A),A),B) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[984]),1121,1131])]),
[iquote('back_demod,984,demod,1121,1131,flip.1')] ).
cnf(1140,plain,
$false,
inference(binary,[status(thm)],[1138,1]),
[iquote('binary,1138.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP428-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n009.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 05:28:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.81/2.05 ----- Otter 3.3f, August 2004 -----
% 1.81/2.05 The process was started by sandbox on n009.cluster.edu,
% 1.81/2.05 Wed Jul 27 05:28:51 2022
% 1.81/2.05 The command was "./otter". The process ID is 30881.
% 1.81/2.05
% 1.81/2.05 set(prolog_style_variables).
% 1.81/2.05 set(auto).
% 1.81/2.05 dependent: set(auto1).
% 1.81/2.05 dependent: set(process_input).
% 1.81/2.05 dependent: clear(print_kept).
% 1.81/2.05 dependent: clear(print_new_demod).
% 1.81/2.05 dependent: clear(print_back_demod).
% 1.81/2.05 dependent: clear(print_back_sub).
% 1.81/2.05 dependent: set(control_memory).
% 1.81/2.05 dependent: assign(max_mem, 12000).
% 1.81/2.05 dependent: assign(pick_given_ratio, 4).
% 1.81/2.05 dependent: assign(stats_level, 1).
% 1.81/2.05 dependent: assign(max_seconds, 10800).
% 1.81/2.05 clear(print_given).
% 1.81/2.05
% 1.81/2.05 list(usable).
% 1.81/2.05 0 [] A=A.
% 1.81/2.05 0 [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D)))))=C.
% 1.81/2.05 0 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 1.81/2.05 end_of_list.
% 1.81/2.05
% 1.81/2.05 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.81/2.05
% 1.81/2.05 All clauses are units, and equality is present; the
% 1.81/2.05 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.81/2.05
% 1.81/2.05 dependent: set(knuth_bendix).
% 1.81/2.05 dependent: set(anl_eq).
% 1.81/2.05 dependent: set(para_from).
% 1.81/2.05 dependent: set(para_into).
% 1.81/2.05 dependent: clear(para_from_right).
% 1.81/2.05 dependent: clear(para_into_right).
% 1.81/2.05 dependent: set(para_from_vars).
% 1.81/2.05 dependent: set(eq_units_both_ways).
% 1.81/2.05 dependent: set(dynamic_demod_all).
% 1.81/2.05 dependent: set(dynamic_demod).
% 1.81/2.05 dependent: set(order_eq).
% 1.81/2.05 dependent: set(back_demod).
% 1.81/2.05 dependent: set(lrpo).
% 1.81/2.05
% 1.81/2.05 ------------> process usable:
% 1.81/2.05 ** KEPT (pick-wt=8): 1 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 1.81/2.05
% 1.81/2.05 ------------> process sos:
% 1.81/2.05 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.81/2.05 ** KEPT (pick-wt=20): 3 [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D)))))=C.
% 1.81/2.05 ---> New Demodulator: 4 [new_demod,3] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D)))))=C.
% 1.81/2.05 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.81/2.05 >>>> Starting back demodulation with 4.
% 1.81/2.05
% 1.81/2.05 ======= end of input processing =======
% 1.81/2.05
% 1.81/2.05 =========== start of search ===========
% 1.81/2.05
% 1.81/2.05
% 1.81/2.05 Resetting weight limit to 26.
% 1.81/2.05
% 1.81/2.05
% 1.81/2.05 Resetting weight limit to 26.
% 1.81/2.05
% 1.81/2.05 sos_size=126
% 1.81/2.05
% 1.81/2.05
% 1.81/2.05 Resetting weight limit to 15.
% 1.81/2.05
% 1.81/2.05
% 1.81/2.05 Resetting weight limit to 15.
% 1.81/2.05
% 1.81/2.05 sos_size=521
% 1.81/2.05
% 1.81/2.05 -------- PROOF --------
% 1.81/2.05
% 1.81/2.05 ----> UNIT CONFLICT at 0.16 sec ----> 1140 [binary,1138.1,1.1] $F.
% 1.81/2.05
% 1.81/2.05 Length of proof is 54. Level of proof is 29.
% 1.81/2.05
% 1.81/2.05 ---------------- PROOF ----------------
% 1.81/2.05 % SZS status Unsatisfiable
% 1.81/2.05 % SZS output start Refutation
% See solution above
% 1.81/2.05 ------------ end of proof -------------
% 1.81/2.05
% 1.81/2.05
% 1.81/2.05 Search stopped by max_proofs option.
% 1.81/2.05
% 1.81/2.05
% 1.81/2.05 Search stopped by max_proofs option.
% 1.81/2.05
% 1.81/2.05 ============ end of search ============
% 1.81/2.05
% 1.81/2.05 -------------- statistics -------------
% 1.81/2.05 clauses given 50
% 1.81/2.05 clauses generated 5954
% 1.81/2.05 clauses kept 782
% 1.81/2.05 clauses forward subsumed 1489
% 1.81/2.05 clauses back subsumed 40
% 1.81/2.05 Kbytes malloced 8789
% 1.81/2.05
% 1.81/2.05 ----------- times (seconds) -----------
% 1.81/2.05 user CPU time 0.16 (0 hr, 0 min, 0 sec)
% 1.81/2.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.81/2.05 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.81/2.05
% 1.81/2.05 That finishes the proof of the theorem.
% 1.81/2.05
% 1.81/2.05 Process 30881 finished Wed Jul 27 05:28:52 2022
% 1.81/2.05 Otter interrupted
% 1.81/2.05 PROOF FOUND
%------------------------------------------------------------------------------