TSTP Solution File: GRP500-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP500-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 12:57:08 EDT 2022
% Result : Unsatisfiable 1.78s 1.99s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 2 RR)
% Number of literals : 61 ( 60 equ; 1 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 : 224 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('GRP500-1.p',unknown),
[] ).
cnf(3,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('GRP500-1.p',unknown),
[] ).
cnf(5,axiom,
multiply(A,B) = inverse(double_divide(B,A)),
file('GRP500-1.p',unknown),
[] ).
cnf(7,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[5])]),
[iquote('copy,5,flip.1')] ).
cnf(8,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)],[3]),7,7]),
[iquote('back_demod,3,demod,7,7')] ).
cnf(14,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)],[8,8]),
[iquote('para_into,8.1.1.2.2.1,8.1.1')] ).
cnf(15,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)],[14])]),
[iquote('copy,14,flip.1')] ).
cnf(16,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)],[8,7]),
[iquote('para_from,8.1.1,6.1.1.1')] ).
cnf(19,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)],[16,7])]),
[iquote('para_into,16.1.1,6.1.1,flip.1')] ).
cnf(58,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)],[19,7]),
[iquote('para_into,19.1.1.2,6.1.1')] ).
cnf(151,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)],[14,8])]),
[iquote('para_into,14.1.1,8.1.1,flip.1')] ).
cnf(230,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)],[151,8]),
[iquote('para_from,150.1.1,8.1.1.2.2')] ).
cnf(243,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)],[15,14]),151]),
[iquote('para_from,15.1.1,14.1.1.2,demod,151')] ).
cnf(253,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)],[243,151]),230]),
[iquote('para_into,243.1.1.2.2.2,150.1.1,demod,230')] ).
cnf(259,plain,
double_divide(A,double_divide(B,A)) = double_divide(C,double_divide(B,C)),
inference(para_into,[status(thm),theory(equality)],[253,253]),
[iquote('para_into,253.1.1,253.1.1')] ).
cnf(272,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)],[259,151]),
[iquote('para_from,259.1.1,150.1.1.2.1')] ).
cnf(283,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)],[259,58]),58]),
[iquote('para_from,259.1.1,57.1.1.1.2.1.2,demod,58')] ).
cnf(300,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)],[283,259]),
[iquote('para_into,283.1.1.1,259.1.1')] ).
cnf(323,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)],[283,8]),
[iquote('para_from,283.1.1,8.1.1.2.2')] ).
cnf(443,plain,
multiply(double_divide(A,double_divide(B,A)),inverse(multiply(double_divide(C,double_divide(inverse(D),C)),D))) = B,
inference(para_into,[status(thm),theory(equality)],[272,272]),
[iquote('para_into,272.1.1.2,272.1.1')] ).
cnf(465,plain,
double_divide(inverse(A),double_divide(inverse(B),multiply(double_divide(C,double_divide(inverse(D),C)),multiply(D,B)))) = A,
inference(para_into,[status(thm),theory(equality)],[323,15]),
[iquote('para_into,323.1.1.2,15.1.1')] ).
cnf(547,plain,
double_divide(inverse(inverse(multiply(double_divide(A,double_divide(inverse(B),A)),B))),multiply(double_divide(C,double_divide(D,C)),E)) = double_divide(E,D),
inference(para_from,[status(thm),theory(equality)],[443,8]),
[iquote('para_from,442.1.1,8.1.1.2.2')] ).
cnf(566,plain,
double_divide(inverse(A),double_divide(B,multiply(double_divide(B,C),C))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[465,443]),7,547]),
[iquote('para_into,465.1.1.2.2.2,442.1.1,demod,7,547')] ).
cnf(579,plain,
multiply(A,double_divide(inverse(B),multiply(double_divide(C,double_divide(inverse(D),C)),multiply(D,B)))) = multiply(double_divide(inverse(A),E),E),
inference(para_from,[status(thm),theory(equality)],[465,283]),
[iquote('para_from,465.1.1,283.1.1.1')] ).
cnf(587,plain,
multiply(double_divide(inverse(A),B),B) = multiply(A,double_divide(inverse(C),multiply(double_divide(D,double_divide(inverse(E),D)),multiply(E,C)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[579])]),
[iquote('copy,579,flip.1')] ).
cnf(595,plain,
double_divide(multiply(A,B),double_divide(C,multiply(double_divide(C,D),D))) = double_divide(B,A),
inference(para_into,[status(thm),theory(equality)],[566,7]),
[iquote('para_into,566.1.1.1,6.1.1')] ).
cnf(618,plain,
multiply(double_divide(A,double_divide(inverse(B),A)),multiply(B,C)) = multiply(double_divide(inverse(C),D),D),
inference(para_from,[status(thm),theory(equality)],[566,151]),
[iquote('para_from,566.1.1,150.1.1.2.1')] ).
cnf(641,plain,
multiply(A,double_divide(B,multiply(double_divide(B,C),C))) = multiply(double_divide(inverse(A),D),D),
inference(para_from,[status(thm),theory(equality)],[566,283]),
[iquote('para_from,566.1.1,283.1.1.1')] ).
cnf(643,plain,
multiply(double_divide(A,multiply(double_divide(A,B),B)),inverse(C)) = inverse(C),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[566,7])]),
[iquote('para_from,566.1.1,6.1.1.1,flip.1')] ).
cnf(646,plain,
double_divide(double_divide(A,multiply(double_divide(A,B),B)),C) = double_divide(D,double_divide(inverse(C),D)),
inference(para_from,[status(thm),theory(equality)],[566,259]),
[iquote('para_from,566.1.1,259.1.1.2')] ).
cnf(663,plain,
multiply(double_divide(inverse(A),B),B) = multiply(double_divide(C,double_divide(inverse(D),C)),multiply(D,A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[618])]),
[iquote('copy,618,flip.1')] ).
cnf(670,plain,
multiply(double_divide(inverse(A),B),B) = multiply(A,double_divide(C,multiply(double_divide(C,D),D))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[641])]),
[iquote('copy,641,flip.1')] ).
cnf(699,plain,
multiply(double_divide(A,multiply(double_divide(A,B),B)),multiply(C,D)) = multiply(C,D),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[643,7]),7]),
[iquote('para_into,643.1.1.2,6.1.1,demod,7')] ).
cnf(748,plain,
multiply(double_divide(A,B),double_divide(C,multiply(double_divide(C,D),D))) = multiply(double_divide(multiply(B,A),E),E),
inference(para_from,[status(thm),theory(equality)],[595,283]),
[iquote('para_from,595.1.1,283.1.1.1')] ).
cnf(773,plain,
multiply(double_divide(multiply(A,B),C),C) = multiply(double_divide(B,A),double_divide(D,multiply(double_divide(D,E),E))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[748])]),
[iquote('copy,748,flip.1')] ).
cnf(784,plain,
multiply(double_divide(A,multiply(double_divide(A,B),B)),C) = C,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[699,443]),443]),
[iquote('para_into,699.1.1.2,442.1.1,demod,443')] ).
cnf(793,plain,
multiply(double_divide(A,multiply(double_divide(B,double_divide(C,B)),double_divide(C,A))),D) = D,
inference(para_into,[status(thm),theory(equality)],[784,259]),
[iquote('para_into,783.1.1.1.2.1,259.1.1')] ).
cnf(798,plain,
double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),A)) = multiply(double_divide(C,D),D),
inference(para_from,[status(thm),theory(equality)],[784,8]),
[iquote('para_from,783.1.1,8.1.1.2.2')] ).
cnf(812,plain,
double_divide(multiply(A,B),multiply(double_divide(A,C),C)) = multiply(double_divide(B,D),D),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[798,300]),7]),
[iquote('para_into,798.1.1.2,300.1.1,demod,7')] ).
cnf(817,plain,
multiply(double_divide(A,B),B) = double_divide(multiply(C,A),multiply(double_divide(C,D),D)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[812])]),
[iquote('copy,812,flip.1')] ).
cnf(838,plain,
multiply(double_divide(A,double_divide(multiply(B,A),multiply(double_divide(B,C),C))),D) = D,
inference(para_from,[status(thm),theory(equality)],[817,793]),
[iquote('para_from,817.1.1,793.1.1.1.2')] ).
cnf(858,plain,
multiply(double_divide(A,double_divide(multiply(B,multiply(double_divide(B,C),C)),A)),D) = D,
inference(para_into,[status(thm),theory(equality)],[838,259]),
[iquote('para_into,838.1.1.1,259.1.1')] ).
cnf(860,plain,
multiply(double_divide(A,B),B) = double_divide(multiply(C,multiply(double_divide(C,D),D)),A),
inference(para_into,[status(thm),theory(equality)],[838,300]),
[iquote('para_into,838.1.1,300.1.1')] ).
cnf(865,plain,
double_divide(multiply(A,multiply(double_divide(A,B),B)),C) = multiply(double_divide(C,D),D),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[860])]),
[iquote('copy,860,flip.1')] ).
cnf(881,plain,
multiply(double_divide(A,double_divide(multiply(double_divide(B,double_divide(inverse(C),B)),C),A)),D) = D,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[858,646]),784]),
[iquote('para_into,857.1.1.1.2.1.2.1,646.1.1,demod,784')] ).
cnf(936,plain,
double_divide(inverse(A),multiply(multiply(double_divide(B,C),C),B)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[865,323]),858]),
[iquote('para_from,865.1.1,323.1.1.2.2.1,demod,858')] ).
cnf(941,plain,
multiply(double_divide(multiply(A,multiply(double_divide(A,B),B)),multiply(multiply(double_divide(C,D),D),C)),E) = E,
inference(para_from,[status(thm),theory(equality)],[865,784]),
[iquote('para_from,865.1.1,783.1.1.1.2.1')] ).
cnf(969,plain,
double_divide(multiply(A,B),multiply(multiply(double_divide(C,D),D),C)) = double_divide(B,A),
inference(para_into,[status(thm),theory(equality)],[936,7]),
[iquote('para_into,936.1.1.1,6.1.1')] ).
cnf(974,plain,
multiply(double_divide(multiply(double_divide(A,B),B),A),C) = C,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[941]),969]),
[iquote('back_demod,941,demod,969')] ).
cnf(1005,plain,
multiply(double_divide(multiply(double_divide(A,B),B),C),C) = A,
inference(para_into,[status(thm),theory(equality)],[974,283]),
[iquote('para_into,974.1.1,283.1.1')] ).
cnf(1027,plain,
double_divide(inverse(A),double_divide(inverse(B),B)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[974,465]),7,858]),
[iquote('para_from,974.1.1,465.1.1.2.2.2,demod,7,858')] ).
cnf(1048,plain,
multiply(A,double_divide(inverse(B),B)) = multiply(A,double_divide(C,multiply(double_divide(C,D),D))),
inference(para_from,[status(thm),theory(equality)],[1027,670]),
[iquote('para_from,1027.1.1,670.1.1.1')] ).
cnf(1053,plain,
multiply(double_divide(A,double_divide(inverse(B),A)),multiply(B,C)) = C,
inference(para_from,[status(thm),theory(equality)],[1027,151]),
[iquote('para_from,1027.1.1,150.1.1.2.1')] ).
cnf(1098,plain,
multiply(A,double_divide(B,multiply(double_divide(B,C),C))) = multiply(A,double_divide(inverse(D),D)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1048])]),
[iquote('copy,1048,flip.1')] ).
cnf(1105,plain,
multiply(double_divide(inverse(A),B),B) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[663]),1053]),
[iquote('back_demod,663,demod,1053')] ).
cnf(1112,plain,
multiply(A,double_divide(inverse(B),B)) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[587]),1105,1053])]),
[iquote('back_demod,587,demod,1105,1053,flip.1')] ).
cnf(1125,plain,
multiply(A,double_divide(B,multiply(double_divide(B,C),C))) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1098])]),1112])]),
[iquote('copy,1098,flip.1,demod,1112,flip.1')] ).
cnf(1150,plain,
multiply(double_divide(multiply(A,B),C),C) = double_divide(B,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[773]),1125]),
[iquote('back_demod,773,demod,1125')] ).
cnf(1162,plain,
double_divide(A,double_divide(B,A)) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1005]),1150]),
[iquote('back_demod,1005,demod,1150')] ).
cnf(1250,plain,
multiply(multiply(inverse(A),A),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[881]),1162,1162]),
[iquote('back_demod,881,demod,1162,1162')] ).
cnf(1252,plain,
$false,
inference(binary,[status(thm)],[1250,1]),
[iquote('binary,1250.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP500-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.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 05:08:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.78/1.99 ----- Otter 3.3f, August 2004 -----
% 1.78/1.99 The process was started by sandbox on n018.cluster.edu,
% 1.78/1.99 Wed Jul 27 05:08:31 2022
% 1.78/1.99 The command was "./otter". The process ID is 28358.
% 1.78/1.99
% 1.78/1.99 set(prolog_style_variables).
% 1.78/1.99 set(auto).
% 1.78/1.99 dependent: set(auto1).
% 1.78/1.99 dependent: set(process_input).
% 1.78/1.99 dependent: clear(print_kept).
% 1.78/1.99 dependent: clear(print_new_demod).
% 1.78/1.99 dependent: clear(print_back_demod).
% 1.78/1.99 dependent: clear(print_back_sub).
% 1.78/1.99 dependent: set(control_memory).
% 1.78/1.99 dependent: assign(max_mem, 12000).
% 1.78/1.99 dependent: assign(pick_given_ratio, 4).
% 1.78/1.99 dependent: assign(stats_level, 1).
% 1.78/1.99 dependent: assign(max_seconds, 10800).
% 1.78/1.99 clear(print_given).
% 1.78/1.99
% 1.78/1.99 list(usable).
% 1.78/1.99 0 [] A=A.
% 1.78/1.99 0 [] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D)))))=C.
% 1.78/1.99 0 [] multiply(A,B)=inverse(double_divide(B,A)).
% 1.78/1.99 0 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 1.78/1.99 end_of_list.
% 1.78/1.99
% 1.78/1.99 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.78/1.99
% 1.78/1.99 All clauses are units, and equality is present; the
% 1.78/1.99 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.78/1.99
% 1.78/1.99 dependent: set(knuth_bendix).
% 1.78/1.99 dependent: set(anl_eq).
% 1.78/1.99 dependent: set(para_from).
% 1.78/1.99 dependent: set(para_into).
% 1.78/1.99 dependent: clear(para_from_right).
% 1.78/1.99 dependent: clear(para_into_right).
% 1.78/1.99 dependent: set(para_from_vars).
% 1.78/1.99 dependent: set(eq_units_both_ways).
% 1.78/1.99 dependent: set(dynamic_demod_all).
% 1.78/1.99 dependent: set(dynamic_demod).
% 1.78/1.99 dependent: set(order_eq).
% 1.78/1.99 dependent: set(back_demod).
% 1.78/1.99 dependent: set(lrpo).
% 1.78/1.99
% 1.78/1.99 ------------> process usable:
% 1.78/1.99 ** KEPT (pick-wt=8): 1 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 1.78/1.99
% 1.78/1.99 ------------> process sos:
% 1.78/1.99 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.78/1.99 ** KEPT (pick-wt=18): 3 [] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D)))))=C.
% 1.78/1.99 ---> New Demodulator: 4 [new_demod,3] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D)))))=C.
% 1.78/1.99 ** KEPT (pick-wt=8): 6 [copy,5,flip.1] inverse(double_divide(A,B))=multiply(B,A).
% 1.78/1.99 ---> New Demodulator: 7 [new_demod,6] inverse(double_divide(A,B))=multiply(B,A).
% 1.78/1.99 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.78/1.99 >>>> Starting back demodulation with 4.
% 1.78/1.99 >>>> Starting back demodulation with 7.
% 1.78/1.99 >> back demodulating 3 with 7.
% 1.78/1.99 >>>> Starting back demodulation with 9.
% 1.78/1.99
% 1.78/1.99 ======= end of input processing =======
% 1.78/1.99
% 1.78/1.99 =========== start of search ===========
% 1.78/1.99
% 1.78/1.99
% 1.78/1.99 Resetting weight limit to 26.
% 1.78/1.99
% 1.78/1.99
% 1.78/1.99 Resetting weight limit to 26.
% 1.78/1.99
% 1.78/1.99 sos_size=161
% 1.78/1.99
% 1.78/1.99
% 1.78/1.99 Resetting weight limit to 19.
% 1.78/1.99
% 1.78/1.99
% 1.78/1.99 Resetting weight limit to 19.
% 1.78/1.99
% 1.78/1.99 sos_size=527
% 1.78/1.99
% 1.78/1.99
% 1.78/1.99 Resetting weight limit to 16.
% 1.78/1.99
% 1.78/1.99
% 1.78/1.99 Resetting weight limit to 16.
% 1.78/1.99
% 1.78/1.99 sos_size=628
% 1.78/1.99
% 1.78/1.99 -------- PROOF --------
% 1.78/1.99
% 1.78/1.99 ----> UNIT CONFLICT at 0.09 sec ----> 1252 [binary,1250.1,1.1] $F.
% 1.78/1.99
% 1.78/1.99 Length of proof is 57. Level of proof is 31.
% 1.78/1.99
% 1.78/1.99 ---------------- PROOF ----------------
% 1.78/1.99 % SZS status Unsatisfiable
% 1.78/1.99 % SZS output start Refutation
% See solution above
% 1.78/1.99 ------------ end of proof -------------
% 1.78/1.99
% 1.78/1.99
% 1.78/1.99 Search stopped by max_proofs option.
% 1.78/1.99
% 1.78/1.99
% 1.78/1.99 Search stopped by max_proofs option.
% 1.78/1.99
% 1.78/1.99 ============ end of search ============
% 1.78/1.99
% 1.78/1.99 -------------- statistics -------------
% 1.78/1.99 clauses given 60
% 1.78/1.99 clauses generated 3684
% 1.78/1.99 clauses kept 897
% 1.78/1.99 clauses forward subsumed 1314
% 1.78/1.99 clauses back subsumed 7
% 1.78/1.99 Kbytes malloced 9765
% 1.78/1.99
% 1.78/1.99 ----------- times (seconds) -----------
% 1.78/1.99 user CPU time 0.09 (0 hr, 0 min, 0 sec)
% 1.78/1.99 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.78/1.99 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.78/1.99
% 1.78/1.99 That finishes the proof of the theorem.
% 1.78/1.99
% 1.78/1.99 Process 28358 finished Wed Jul 27 05:08:32 2022
% 1.78/1.99 Otter interrupted
% 1.78/1.99 PROOF FOUND
%------------------------------------------------------------------------------