TSTP Solution File: GRP422-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP422-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 5.84s 6.07s
% Output : Refutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 7 RR)
% Number of literals : 53 ( 52 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 155 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('GRP422-1.p',unknown),
[] ).
cnf(4,axiom,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = B,
file('GRP422-1.p',unknown),
[] ).
cnf(5,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(D,inverse(multiply(inverse(B),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E)),
inference(para_into,[status(thm),theory(equality)],[4,4]),
[iquote('para_into,3.1.1.1.1.1.2.1.1,3.1.1')] ).
cnf(8,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),
inference(para_into,[status(thm),theory(equality)],[4,4]),
[iquote('para_into,3.1.1.1.1.1.2,3.1.1')] ).
cnf(9,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[5])]),
[iquote('copy,5,flip.1')] ).
cnf(10,plain,
multiply(inverse(A),inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(C,B)),multiply(C,A))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[8])]),
[iquote('copy,8,flip.1')] ).
cnf(14,plain,
multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(B),multiply(inverse(A),inverse(multiply(inverse(A),A)))))),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = B,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,4])]),
[iquote('para_into,8.1.1,3.1.1,flip.1')] ).
cnf(38,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(D,B)),multiply(D,C))),
inference(para_into,[status(thm),theory(equality)],[10,10]),
[iquote('para_into,10.1.1,10.1.1')] ).
cnf(55,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(C),inverse(multiply(inverse(C),C))))) = B,
inference(para_from,[status(thm),theory(equality)],[10,4]),
[iquote('para_from,10.1.1,3.1.1.1.1.1')] ).
cnf(77,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(D),D))))))),multiply(A,D))) = multiply(inverse(D),C),
inference(para_from,[status(thm),theory(equality)],[38,4]),
[iquote('para_from,38.1.1,3.1.1.1.1.1.2')] ).
cnf(86,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(D,B)),multiply(D,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[38,4]),4]),
[iquote('para_from,38.1.1,3.1.1.1.1.1.2.1.1,demod,4')] ).
cnf(108,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[5,10]),55])]),
[iquote('para_into,5.1.1.1.1.1,10.1.1,demod,55,flip.1')] ).
cnf(147,plain,
multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),D)) = multiply(inverse(multiply(E,multiply(B,C))),multiply(E,D)),
inference(para_into,[status(thm),theory(equality)],[86,4]),
[iquote('para_into,86.1.1.1,3.1.1')] ).
cnf(161,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)))),multiply(inverse(C),inverse(multiply(inverse(C),C)))) = B,
inference(para_into,[status(thm),theory(equality)],[108,10]),
[iquote('para_into,108.1.1.1.1,10.1.1')] ).
cnf(170,plain,
inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[9,38]),4]),
[iquote('para_from,9.1.1,38.1.1.1,demod,4')] ).
cnf(175,plain,
inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))) = inverse(inverse(multiply(inverse(multiply(D,B)),multiply(D,C)))),
inference(para_into,[status(thm),theory(equality)],[170,55]),
[iquote('para_into,170.1.1.1.1.1.1.2,54.1.1')] ).
cnf(181,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,multiply(C,D))),multiply(B,multiply(C,D))),
inference(para_into,[status(thm),theory(equality)],[147,108]),
[iquote('para_into,147.1.1.2,108.1.1')] ).
cnf(182,plain,
multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))) = multiply(inverse(D),D),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[181])]),
[iquote('copy,181,flip.1')] ).
cnf(204,plain,
multiply(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))),a2) != a2,
inference(para_from,[status(thm),theory(equality)],[181,1]),
[iquote('para_from,181.1.1,1.1.1.1')] ).
cnf(217,plain,
multiply(multiply(inverse(A),A),a2) != a2,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[204,161]),161]),
[iquote('para_into,204.1.1.1.1.1,160.1.1,demod,161')] ).
cnf(232,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[182,161]),161]),
[iquote('para_into,182.1.1.1.1,160.1.1,demod,161')] ).
cnf(256,plain,
multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(B)),inverse(multiply(inverse(inverse(B)),inverse(B))))) = B,
inference(para_from,[status(thm),theory(equality)],[232,161]),
[iquote('para_from,232.1.1,160.1.1.1.1.1')] ).
cnf(271,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(C),C))),
inference(para_from,[status(thm),theory(equality)],[232,77]),
[iquote('para_from,232.1.1,77.1.1.1.1.1.2.1')] ).
cnf(293,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(D),D))))))),multiply(A,E))) = multiply(inverse(E),C),
inference(para_from,[status(thm),theory(equality)],[232,77]),
[iquote('para_from,232.1.1,77.1.1.1.1.1.2.1.2.2.1')] ).
cnf(295,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),
inference(para_from,[status(thm),theory(equality)],[232,38]),
[iquote('para_from,232.1.1,38.1.1.1')] ).
cnf(296,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(multiply(B,C)),multiply(B,C)))),
inference(para_from,[status(thm),theory(equality)],[232,175]),
[iquote('para_from,232.1.1,175.1.1.1.1')] ).
cnf(299,plain,
inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),inverse(multiply(inverse(B),B))))) = B,
inference(para_from,[status(thm),theory(equality)],[232,55]),
[iquote('para_from,232.1.1,54.1.1.1.1.1.1')] ).
cnf(333,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(C),inverse(multiply(inverse(D),D))))) = B,
inference(para_from,[status(thm),theory(equality)],[232,55]),
[iquote('para_from,232.1.1,54.1.1.1.2.2.1')] ).
cnf(336,plain,
inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(D),D))))))),multiply(A,C)))) = B,
inference(para_from,[status(thm),theory(equality)],[232,170]),
[iquote('para_from,232.1.1,170.1.1.1.1.1.1.2.1.2.2.1')] ).
cnf(338,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(D),D))))))),multiply(A,C))) = B,
inference(para_from,[status(thm),theory(equality)],[232,4]),
[iquote('para_from,232.1.1,3.1.1.1.1.1.2.1.2.2.1')] ).
cnf(365,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,B))) = inverse(multiply(inverse(C),C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[295])]),
[iquote('copy,295,flip.1')] ).
cnf(366,plain,
inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,B)))) = inverse(inverse(multiply(inverse(C),C))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[296])]),
[iquote('copy,296,flip.1')] ).
cnf(388,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(B),B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[365,14]),14]),
[iquote('para_into,365.1.1.1.1.1,13.1.1,demod,14')] ).
cnf(396,plain,
multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)) = multiply(inverse(C),C),
inference(para_from,[status(thm),theory(equality)],[388,232]),
[iquote('para_from,388.1.1,232.1.1.1')] ).
cnf(466,plain,
multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(inverse(multiply(B,C)),multiply(B,C)))),inverse(multiply(inverse(D),D)))) = multiply(inverse(E),E),
inference(para_from,[status(thm),theory(equality)],[296,396]),
[iquote('para_from,296.1.1,396.1.1.2.1')] ).
cnf(483,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(B),B))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[366,14]),14]),
[iquote('para_into,366.1.1.1.1.1.1,13.1.1,demod,14')] ).
cnf(489,plain,
multiply(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B))),a2) != a2,
inference(para_from,[status(thm),theory(equality)],[483,217]),
[iquote('para_from,483.1.1,217.1.1.1.1')] ).
cnf(495,plain,
inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),inverse(multiply(inverse(C),C))))) = B,
inference(para_into,[status(thm),theory(equality)],[299,232]),
[iquote('para_into,299.1.1.1.2.2.1,232.1.1')] ).
cnf(511,plain,
multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(B)),inverse(multiply(inverse(C),C)))) = B,
inference(para_into,[status(thm),theory(equality)],[256,232]),
[iquote('para_into,256.1.1.2.2.1,232.1.1')] ).
cnf(517,plain,
inverse(multiply(inverse(A),inverse(multiply(inverse(A),A)))) = inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),
inference(para_into,[status(thm),theory(equality)],[336,271]),
[iquote('para_into,336.1.1.1,271.1.1')] ).
cnf(519,plain,
inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))) = inverse(multiply(inverse(A),inverse(multiply(inverse(C),C)))),
inference(para_into,[status(thm),theory(equality)],[517,232]),
[iquote('para_into,517.1.1.1.2.1,232.1.1')] ).
cnf(520,plain,
inverse(multiply(A,inverse(multiply(inverse(B),B)))) = inverse(multiply(A,inverse(multiply(inverse(C),C)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[519,495]),495]),
[iquote('para_into,519.1.1.1.1,494.1.1,demod,495')] ).
cnf(522,plain,
multiply(A,inverse(multiply(inverse(B),B))) = multiply(A,inverse(multiply(inverse(C),C))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[520,495]),495]),
[iquote('para_from,520.1.1,494.1.1.1.2.1,demod,495')] ).
cnf(565,plain,
multiply(inverse(inverse(multiply(inverse(A),A))),B) = multiply(inverse(inverse(multiply(inverse(C),C))),B),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[293,522]),293]),
[iquote('para_into,292.1.1.1.2,522.1.1,demod,293')] ).
cnf(566,plain,
inverse(multiply(inverse(A),A)) = multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(C),C))),
inference(para_from,[status(thm),theory(equality)],[466,338]),
[iquote('para_from,466.1.1,338.1.1.1')] ).
cnf(568,plain,
multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B))) = inverse(multiply(inverse(C),C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[566])]),
[iquote('copy,566,flip.1')] ).
cnf(572,plain,
multiply(inverse(A),A) = inverse(multiply(inverse(B),B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[568,566]),511]),
[iquote('para_into,568.1.1.2,566.1.1,demod,511')] ).
cnf(589,plain,
multiply(inverse(multiply(inverse(A),A)),a2) != a2,
inference(para_from,[status(thm),theory(equality)],[568,489]),
[iquote('para_from,568.1.1,489.1.1.1')] ).
cnf(689,plain,
multiply(inverse(inverse(multiply(inverse(A),A))),a2) != a2,
inference(para_into,[status(thm),theory(equality)],[589,568]),
[iquote('para_into,589.1.1.1.1,568.1.1')] ).
cnf(699,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(C),B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[572,293]),495]),
[iquote('para_from,572.1.1,292.1.1.1.1.1.2.1.1.1,demod,495')] ).
cnf(707,plain,
multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[572,333]),699,699]),
[iquote('para_from,572.1.1,333.1.1.1.2.2.1,demod,699,699')] ).
cnf(723,plain,
multiply(inverse(inverse(multiply(inverse(A),A))),B) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[572,565]),707])]),
[iquote('para_from,572.1.1,565.1.1.1.1.1,demod,707,flip.1')] ).
cnf(725,plain,
$false,
inference(binary,[status(thm)],[723,689]),
[iquote('binary,723.1,689.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP422-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n021.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 05:11:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.84/6.07 ----- Otter 3.3f, August 2004 -----
% 5.84/6.07 The process was started by sandbox on n021.cluster.edu,
% 5.84/6.07 Wed Jul 27 05:11:23 2022
% 5.84/6.07 The command was "./otter". The process ID is 32738.
% 5.84/6.07
% 5.84/6.07 set(prolog_style_variables).
% 5.84/6.07 set(auto).
% 5.84/6.07 dependent: set(auto1).
% 5.84/6.07 dependent: set(process_input).
% 5.84/6.07 dependent: clear(print_kept).
% 5.84/6.07 dependent: clear(print_new_demod).
% 5.84/6.07 dependent: clear(print_back_demod).
% 5.84/6.07 dependent: clear(print_back_sub).
% 5.84/6.07 dependent: set(control_memory).
% 5.84/6.07 dependent: assign(max_mem, 12000).
% 5.84/6.07 dependent: assign(pick_given_ratio, 4).
% 5.84/6.07 dependent: assign(stats_level, 1).
% 5.84/6.07 dependent: assign(max_seconds, 10800).
% 5.84/6.07 clear(print_given).
% 5.84/6.07
% 5.84/6.07 list(usable).
% 5.84/6.07 0 [] A=A.
% 5.84/6.07 0 [] inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))=B.
% 5.84/6.07 0 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 5.84/6.07 end_of_list.
% 5.84/6.07
% 5.84/6.07 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 5.84/6.07
% 5.84/6.07 All clauses are units, and equality is present; the
% 5.84/6.07 strategy will be Knuth-Bendix with positive clauses in sos.
% 5.84/6.07
% 5.84/6.07 dependent: set(knuth_bendix).
% 5.84/6.07 dependent: set(anl_eq).
% 5.84/6.07 dependent: set(para_from).
% 5.84/6.07 dependent: set(para_into).
% 5.84/6.07 dependent: clear(para_from_right).
% 5.84/6.07 dependent: clear(para_into_right).
% 5.84/6.07 dependent: set(para_from_vars).
% 5.84/6.07 dependent: set(eq_units_both_ways).
% 5.84/6.07 dependent: set(dynamic_demod_all).
% 5.84/6.07 dependent: set(dynamic_demod).
% 5.84/6.07 dependent: set(order_eq).
% 5.84/6.07 dependent: set(back_demod).
% 5.84/6.07 dependent: set(lrpo).
% 5.84/6.07
% 5.84/6.07 ------------> process usable:
% 5.84/6.07 ** KEPT (pick-wt=8): 1 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 5.84/6.07
% 5.84/6.07 ------------> process sos:
% 5.84/6.07 ** KEPT (pick-wt=3): 2 [] A=A.
% 5.84/6.07 ** KEPT (pick-wt=22): 3 [] inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))=B.
% 5.84/6.07 ---> New Demodulator: 4 [new_demod,3] inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))=B.
% 5.84/6.07 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 5.84/6.07 >>>> Starting back demodulation with 4.
% 5.84/6.07
% 5.84/6.07 ======= end of input processing =======
% 5.84/6.07
% 5.84/6.07 =========== start of search ===========
% 5.84/6.07
% 5.84/6.07
% 5.84/6.07 Resetting weight limit to 30.
% 5.84/6.07
% 5.84/6.07
% 5.84/6.07 Resetting weight limit to 30.
% 5.84/6.07
% 5.84/6.07 sos_size=119
% 5.84/6.07
% 5.84/6.07
% 5.84/6.07 Resetting weight limit to 21.
% 5.84/6.07
% 5.84/6.07
% 5.84/6.07 Resetting weight limit to 21.
% 5.84/6.07
% 5.84/6.07 sos_size=304
% 5.84/6.07
% 5.84/6.07
% 5.84/6.07 Resetting weight limit to 20.
% 5.84/6.07
% 5.84/6.07
% 5.84/6.07 Resetting weight limit to 20.
% 5.84/6.07
% 5.84/6.07 sos_size=305
% 5.84/6.07
% 5.84/6.07 -------- PROOF --------
% 5.84/6.07
% 5.84/6.07 ----> UNIT CONFLICT at 4.19 sec ----> 725 [binary,723.1,689.1] $F.
% 5.84/6.07
% 5.84/6.07 Length of proof is 50. Level of proof is 19.
% 5.84/6.07
% 5.84/6.07 ---------------- PROOF ----------------
% 5.84/6.07 % SZS status Unsatisfiable
% 5.84/6.07 % SZS output start Refutation
% See solution above
% 5.84/6.07 ------------ end of proof -------------
% 5.84/6.07
% 5.84/6.07
% 5.84/6.07 Search stopped by max_proofs option.
% 5.84/6.07
% 5.84/6.07
% 5.84/6.07 Search stopped by max_proofs option.
% 5.84/6.07
% 5.84/6.07 ============ end of search ============
% 5.84/6.07
% 5.84/6.07 -------------- statistics -------------
% 5.84/6.07 clauses given 278
% 5.84/6.07 clauses generated 202454
% 5.84/6.07 clauses kept 649
% 5.84/6.07 clauses forward subsumed 9024
% 5.84/6.07 clauses back subsumed 85
% 5.84/6.07 Kbytes malloced 10742
% 5.84/6.07
% 5.84/6.07 ----------- times (seconds) -----------
% 5.84/6.07 user CPU time 4.19 (0 hr, 0 min, 4 sec)
% 5.84/6.07 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 5.84/6.07 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 5.84/6.07
% 5.84/6.07 That finishes the proof of the theorem.
% 5.84/6.07
% 5.84/6.07 Process 32738 finished Wed Jul 27 05:11:28 2022
% 5.84/6.07 Otter interrupted
% 5.84/6.07 PROOF FOUND
%------------------------------------------------------------------------------