TSTP Solution File: GRP499-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP499-1 : TPTP v8.1.0. Released v2.6.0.
% 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 12:57:07 EDT 2022
% Result : Unsatisfiable 1.80s 2.00s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 3 RR)
% Number of literals : 58 ( 57 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 186 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('GRP499-1.p',unknown),
[] ).
cnf(2,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(4,axiom,
double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C,
file('GRP499-1.p',unknown),
[] ).
cnf(6,axiom,
multiply(A,B) = inverse(double_divide(B,A)),
file('GRP499-1.p',unknown),
[] ).
cnf(8,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[6])]),
[iquote('copy,6,flip.1')] ).
cnf(9,plain,
double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))) = D,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[4]),8,8]),
[iquote('back_demod,4,demod,8,8')] ).
cnf(15,plain,
double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),multiply(D,A))) = multiply(double_divide(E,double_divide(F,E)),multiply(double_divide(F,D),C)),
inference(para_into,[status(thm),theory(equality)],[9,9]),
[iquote('para_into,9.1.1.2.2.1,9.1.1')] ).
cnf(16,plain,
multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,C),D)) = double_divide(inverse(E),multiply(double_divide(F,double_divide(inverse(D),F)),multiply(C,E))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[15])]),
[iquote('copy,15,flip.1')] ).
cnf(17,plain,
inverse(A) = multiply(multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,A),D)),inverse(D)),
inference(para_from,[status(thm),theory(equality)],[9,8]),
[iquote('para_from,9.1.1,7.1.1.1')] ).
cnf(18,plain,
multiply(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,C),D)),inverse(D)) = inverse(C),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[17])]),
[iquote('copy,17,flip.1')] ).
cnf(20,plain,
multiply(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(C,D)),E)),inverse(E)) = multiply(D,C),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[17,8])]),
[iquote('para_into,17.1.1,7.1.1,flip.1')] ).
cnf(60,plain,
multiply(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(C,D)),double_divide(E,F))),multiply(F,E)) = multiply(D,C),
inference(para_into,[status(thm),theory(equality)],[20,8]),
[iquote('para_into,20.1.1.2,7.1.1')] ).
cnf(171,plain,
multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(inverse(C),D)),C)) = D,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[15,9])]),
[iquote('para_into,15.1.1,9.1.1,flip.1')] ).
cnf(228,plain,
multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(multiply(C,D),E)),double_divide(D,C))) = E,
inference(para_into,[status(thm),theory(equality)],[171,8]),
[iquote('para_into,170.1.1.2.1.2.1,7.1.1')] ).
cnf(230,plain,
multiply(multiply(double_divide(A,double_divide(B,A)),C),inverse(multiply(double_divide(D,double_divide(inverse(E),C)),E))) = multiply(B,D),
inference(para_from,[status(thm),theory(equality)],[171,20]),
[iquote('para_from,170.1.1,20.1.1.1.2')] ).
cnf(234,plain,
double_divide(inverse(multiply(double_divide(A,double_divide(inverse(B),C)),B)),multiply(double_divide(D,double_divide(E,D)),C)) = double_divide(A,E),
inference(para_from,[status(thm),theory(equality)],[171,9]),
[iquote('para_from,170.1.1,9.1.1.2.2')] ).
cnf(243,plain,
double_divide(inverse(multiply(double_divide(A,double_divide(multiply(B,C),D)),double_divide(C,B))),multiply(double_divide(E,double_divide(F,E)),D)) = double_divide(A,F),
inference(para_from,[status(thm),theory(equality)],[228,9]),
[iquote('para_from,228.1.1,9.1.1.2.2')] ).
cnf(267,plain,
double_divide(inverse(A),double_divide(inverse(B),multiply(double_divide(C,double_divide(inverse(A),C)),multiply(D,B)))) = D,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[16,15]),171]),
[iquote('para_from,16.1.1,15.1.1.2,demod,171')] ).
cnf(283,plain,
double_divide(inverse(A),double_divide(B,inverse(A))) = double_divide(C,double_divide(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[267,228]),243]),
[iquote('para_into,267.1.1.2.2.2,228.1.1,demod,243')] ).
cnf(302,plain,
double_divide(A,double_divide(B,A)) = double_divide(C,double_divide(B,C)),
inference(para_into,[status(thm),theory(equality)],[283,283]),
[iquote('para_into,283.1.1,283.1.1')] ).
cnf(330,plain,
multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(C,double_divide(inverse(D),C)),D)) = B,
inference(para_from,[status(thm),theory(equality)],[302,171]),
[iquote('para_from,302.1.1,170.1.1.2.1')] ).
cnf(349,plain,
multiply(double_divide(A,B),B) = multiply(double_divide(A,C),C),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[302,60]),60]),
[iquote('para_from,302.1.1,59.1.1.1.2.1.2,demod,60')] ).
cnf(378,plain,
multiply(double_divide(A,double_divide(B,A)),double_divide(B,C)) = multiply(double_divide(C,D),D),
inference(para_into,[status(thm),theory(equality)],[349,302]),
[iquote('para_into,349.1.1.1,302.1.1')] ).
cnf(383,plain,
multiply(double_divide(A,B),B) = multiply(double_divide(C,double_divide(D,C)),double_divide(D,A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[378])]),
[iquote('copy,378,flip.1')] ).
cnf(407,plain,
double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),D))) = A,
inference(para_from,[status(thm),theory(equality)],[349,9]),
[iquote('para_from,349.1.1,9.1.1.2.2')] ).
cnf(641,plain,
multiply(double_divide(A,double_divide(inverse(B),multiply(double_divide(C,D),D))),B) = double_divide(A,C),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[407,234])]),
[iquote('para_into,407.1.1,234.1.1,flip.1')] ).
cnf(713,plain,
multiply(double_divide(A,double_divide(B,A)),double_divide(multiply(double_divide(C,D),D),C)) = B,
inference(para_from,[status(thm),theory(equality)],[641,330]),
[iquote('para_from,641.1.1,330.1.1.2')] ).
cnf(762,plain,
double_divide(multiply(double_divide(A,B),B),A) = multiply(C,multiply(double_divide(C,D),D)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[713,641]),8]),
[iquote('para_into,712.1.1,641.1.1,demod,8')] ).
cnf(765,plain,
multiply(A,multiply(double_divide(A,B),B)) = double_divide(multiply(double_divide(C,D),D),C),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[762])]),
[iquote('copy,762,flip.1')] ).
cnf(821,plain,
double_divide(inverse(A),double_divide(inverse(multiply(double_divide(B,C),C)),inverse(A))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[765,267]),713]),
[iquote('para_from,765.1.1,267.1.1.2.2.2,demod,713')] ).
cnf(830,plain,
multiply(A,inverse(multiply(double_divide(double_divide(A,B),C),C))) = inverse(B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[765,18]),713]),
[iquote('para_from,765.1.1,18.1.1.1.2,demod,713')] ).
cnf(918,plain,
double_divide(A,double_divide(inverse(multiply(double_divide(B,C),C)),A)) = B,
inference(para_into,[status(thm),theory(equality)],[821,302]),
[iquote('para_into,821.1.1,302.1.1')] ).
cnf(933,plain,
double_divide(double_divide(inverse(A),multiply(B,multiply(C,A))),C) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[918,267]),918]),
[iquote('para_into,917.1.1.2,267.1.1,demod,918')] ).
cnf(951,plain,
double_divide(inverse(A),multiply(B,multiply(double_divide(inverse(multiply(double_divide(B,C),C)),D),D))) = A,
inference(para_from,[status(thm),theory(equality)],[918,407]),
[iquote('para_from,917.1.1,407.1.1.2.1')] ).
cnf(958,plain,
multiply(double_divide(inverse(multiply(double_divide(A,B),B)),C),C) = inverse(A),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[918,8])]),
[iquote('para_from,917.1.1,7.1.1.1,flip.1')] ).
cnf(964,plain,
double_divide(inverse(A),multiply(B,inverse(B))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[951]),958]),
[iquote('back_demod,951,demod,958')] ).
cnf(975,plain,
double_divide(inverse(A),multiply(inverse(B),B)) = A,
inference(para_into,[status(thm),theory(equality)],[964,230]),
[iquote('para_into,964.1.1.2,230.1.1')] ).
cnf(1004,plain,
multiply(multiply(A,inverse(A)),inverse(B)) = inverse(B),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[964,8])]),
[iquote('para_from,964.1.1,7.1.1.1,flip.1')] ).
cnf(1058,plain,
multiply(double_divide(A,double_divide(B,A)),double_divide(multiply(C,multiply(inverse(D),D)),inverse(C))) = B,
inference(para_from,[status(thm),theory(equality)],[975,713]),
[iquote('para_from,974.1.1,712.1.1.2.1.1')] ).
cnf(1071,plain,
multiply(A,multiply(inverse(B),B)) = multiply(double_divide(C,double_divide(D,C)),double_divide(D,inverse(A))),
inference(para_from,[status(thm),theory(equality)],[975,383]),
[iquote('para_from,974.1.1,383.1.1.1')] ).
cnf(1076,plain,
multiply(multiply(inverse(A),A),inverse(B)) = inverse(B),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[975,8])]),
[iquote('para_from,974.1.1,7.1.1.1,flip.1')] ).
cnf(1098,plain,
multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))) = multiply(C,multiply(inverse(D),D)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1071])]),
[iquote('copy,1071,flip.1')] ).
cnf(1136,plain,
double_divide(inverse(A),inverse(multiply(inverse(B),B))) = A,
inference(para_from,[status(thm),theory(equality)],[1076,964]),
[iquote('para_from,1076.1.1,964.1.1.2')] ).
cnf(1246,plain,
multiply(inverse(A),inverse(multiply(double_divide(A,B),B))) = inverse(inverse(multiply(inverse(C),C))),
inference(para_from,[status(thm),theory(equality)],[1136,830]),
[iquote('para_from,1136.1.1,830.1.1.2.1.1.1')] ).
cnf(1250,plain,
multiply(A,inverse(multiply(inverse(B),B))) = multiply(double_divide(inverse(A),C),C),
inference(para_from,[status(thm),theory(equality)],[1136,349]),
[iquote('para_from,1136.1.1,349.1.1.1')] ).
cnf(1332,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[933,975])]),
[iquote('para_into,933.1.1.1,974.1.1,flip.1')] ).
cnf(1357,plain,
multiply(A,double_divide(B,inverse(B))) = multiply(double_divide(inverse(A),C),C),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1250]),1332]),
[iquote('back_demod,1250,demod,1332')] ).
cnf(1358,plain,
multiply(inverse(A),double_divide(B,double_divide(A,B))) = multiply(inverse(C),C),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1246]),1332,1332,8]),
[iquote('back_demod,1246,demod,1332,1332,8')] ).
cnf(1412,plain,
inverse(inverse(A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1332,1076]),975]),
[iquote('para_into,1331.1.1.1,1076.1.1,demod,975')] ).
cnf(1437,plain,
multiply(multiply(A,inverse(A)),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1412,1004]),1412]),
[iquote('para_from,1411.1.1,1004.1.1.2,demod,1412')] ).
cnf(1463,plain,
multiply(double_divide(inverse(A),A),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1437,1437]),1332]),
[iquote('para_into,1437.1.1.1,1437.1.1,demod,1332')] ).
cnf(1499,plain,
multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))) = C,
inference(para_into,[status(thm),theory(equality)],[1463,383]),
[iquote('para_into,1463.1.1,383.1.1')] ).
cnf(1501,plain,
multiply(double_divide(inverse(A),B),B) = A,
inference(para_into,[status(thm),theory(equality)],[1463,349]),
[iquote('para_into,1463.1.1,349.1.1')] ).
cnf(1503,plain,
multiply(A,multiply(inverse(B),B)) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1098]),1499])]),
[iquote('back_demod,1098,demod,1499,flip.1')] ).
cnf(1509,plain,
multiply(A,double_divide(B,inverse(B))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1357]),1501]),
[iquote('back_demod,1357,demod,1501')] ).
cnf(1525,plain,
double_divide(A,double_divide(B,A)) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1058]),1503,1509]),
[iquote('back_demod,1058,demod,1503,1509')] ).
cnf(1548,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1358]),1525]),
[iquote('back_demod,1358,demod,1525')] ).
cnf(1549,plain,
$false,
inference(binary,[status(thm)],[1548,2]),
[iquote('binary,1548.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP499-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 04:58:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.80/2.00 ----- Otter 3.3f, August 2004 -----
% 1.80/2.00 The process was started by sandbox2 on n003.cluster.edu,
% 1.80/2.00 Wed Jul 27 04:58:41 2022
% 1.80/2.00 The command was "./otter". The process ID is 8928.
% 1.80/2.00
% 1.80/2.00 set(prolog_style_variables).
% 1.80/2.00 set(auto).
% 1.80/2.00 dependent: set(auto1).
% 1.80/2.00 dependent: set(process_input).
% 1.80/2.00 dependent: clear(print_kept).
% 1.80/2.00 dependent: clear(print_new_demod).
% 1.80/2.00 dependent: clear(print_back_demod).
% 1.80/2.00 dependent: clear(print_back_sub).
% 1.80/2.00 dependent: set(control_memory).
% 1.80/2.00 dependent: assign(max_mem, 12000).
% 1.80/2.00 dependent: assign(pick_given_ratio, 4).
% 1.80/2.00 dependent: assign(stats_level, 1).
% 1.80/2.00 dependent: assign(max_seconds, 10800).
% 1.80/2.00 clear(print_given).
% 1.80/2.00
% 1.80/2.00 list(usable).
% 1.80/2.00 0 [] A=A.
% 1.80/2.00 0 [] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D)))))=C.
% 1.80/2.00 0 [] multiply(A,B)=inverse(double_divide(B,A)).
% 1.80/2.00 0 [] multiply(inverse(a1),a1)!=multiply(inverse(b1),b1).
% 1.80/2.00 end_of_list.
% 1.80/2.00
% 1.80/2.00 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.80/2.00
% 1.80/2.00 All clauses are units, and equality is present; the
% 1.80/2.00 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.80/2.00
% 1.80/2.00 dependent: set(knuth_bendix).
% 1.80/2.00 dependent: set(anl_eq).
% 1.80/2.00 dependent: set(para_from).
% 1.80/2.00 dependent: set(para_into).
% 1.80/2.00 dependent: clear(para_from_right).
% 1.80/2.00 dependent: clear(para_into_right).
% 1.80/2.00 dependent: set(para_from_vars).
% 1.80/2.00 dependent: set(eq_units_both_ways).
% 1.80/2.00 dependent: set(dynamic_demod_all).
% 1.80/2.00 dependent: set(dynamic_demod).
% 1.80/2.00 dependent: set(order_eq).
% 1.80/2.00 dependent: set(back_demod).
% 1.80/2.00 dependent: set(lrpo).
% 1.80/2.00
% 1.80/2.00 ------------> process usable:
% 1.80/2.00 ** KEPT (pick-wt=9): 2 [copy,1,flip.1] multiply(inverse(b1),b1)!=multiply(inverse(a1),a1).
% 1.80/2.00
% 1.80/2.00 ------------> process sos:
% 1.80/2.00 ** KEPT (pick-wt=3): 3 [] A=A.
% 1.80/2.00 ** KEPT (pick-wt=18): 4 [] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D)))))=C.
% 1.80/2.00 ---> New Demodulator: 5 [new_demod,4] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D)))))=C.
% 1.80/2.00 ** KEPT (pick-wt=8): 7 [copy,6,flip.1] inverse(double_divide(A,B))=multiply(B,A).
% 1.80/2.00 ---> New Demodulator: 8 [new_demod,7] inverse(double_divide(A,B))=multiply(B,A).
% 1.80/2.00 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.80/2.00 >>>> Starting back demodulation with 5.
% 1.80/2.00 >>>> Starting back demodulation with 8.
% 1.80/2.00 >> back demodulating 4 with 8.
% 1.80/2.00 >>>> Starting back demodulation with 10.
% 1.80/2.00
% 1.80/2.00 ======= end of input processing =======
% 1.80/2.00
% 1.80/2.00 =========== start of search ===========
% 1.80/2.00
% 1.80/2.00
% 1.80/2.00 Resetting weight limit to 28.
% 1.80/2.00
% 1.80/2.00
% 1.80/2.00 Resetting weight limit to 28.
% 1.80/2.00
% 1.80/2.00 sos_size=159
% 1.80/2.00
% 1.80/2.00
% 1.80/2.00 Resetting weight limit to 19.
% 1.80/2.00
% 1.80/2.00
% 1.80/2.00 Resetting weight limit to 19.
% 1.80/2.00
% 1.80/2.00 sos_size=544
% 1.80/2.00
% 1.80/2.00
% 1.80/2.00 Resetting weight limit to 14.
% 1.80/2.00
% 1.80/2.00
% 1.80/2.00 Resetting weight limit to 14.
% 1.80/2.00
% 1.80/2.00 sos_size=855
% 1.80/2.00
% 1.80/2.00 -------- PROOF --------
% 1.80/2.00
% 1.80/2.00 ----> UNIT CONFLICT at 0.11 sec ----> 1549 [binary,1548.1,2.1] $F.
% 1.80/2.00
% 1.80/2.00 Length of proof is 54. Level of proof is 27.
% 1.80/2.00
% 1.80/2.00 ---------------- PROOF ----------------
% 1.80/2.00 % SZS status Unsatisfiable
% 1.80/2.00 % SZS output start Refutation
% See solution above
% 1.80/2.01 ------------ end of proof -------------
% 1.80/2.01
% 1.80/2.01
% 1.80/2.01 Search stopped by max_proofs option.
% 1.80/2.01
% 1.80/2.01
% 1.80/2.01 Search stopped by max_proofs option.
% 1.80/2.01
% 1.80/2.01 ============ end of search ============
% 1.80/2.01
% 1.80/2.01 -------------- statistics -------------
% 1.80/2.01 clauses given 68
% 1.80/2.01 clauses generated 3545
% 1.80/2.01 clauses kept 1127
% 1.80/2.01 clauses forward subsumed 1275
% 1.80/2.01 clauses back subsumed 5
% 1.80/2.01 Kbytes malloced 11718
% 1.80/2.01
% 1.80/2.01 ----------- times (seconds) -----------
% 1.80/2.01 user CPU time 0.11 (0 hr, 0 min, 0 sec)
% 1.80/2.01 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.80/2.01 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.80/2.01
% 1.80/2.01 That finishes the proof of the theorem.
% 1.80/2.01
% 1.80/2.01 Process 8928 finished Wed Jul 27 04:58:43 2022
% 1.80/2.01 Otter interrupted
% 1.80/2.01 PROOF FOUND
%------------------------------------------------------------------------------