TSTP Solution File: KLE143+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE143+1 : TPTP v8.1.0. Released v4.0.0.
% 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 13:00:49 EDT 2022
% Result : Theorem 3.57s 3.79s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 38 ( 33 unt; 0 nHn; 7 RR)
% Number of literals : 43 ( 30 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ le_q(addition(multiplication(A,B),C),B)
| le_q(multiplication(star(A),C),B) ),
file('KLE143+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ le_q(A,B)
| addition(A,B) = B ),
file('KLE143+1.p',unknown),
[] ).
cnf(5,axiom,
( le_q(A,B)
| addition(A,B) != B ),
file('KLE143+1.p',unknown),
[] ).
cnf(6,axiom,
multiplication(strong_iteration(dollar_c1),strong_iteration(dollar_c1)) != strong_iteration(dollar_c1),
file('KLE143+1.p',unknown),
[] ).
cnf(8,axiom,
addition(A,B) = addition(B,A),
file('KLE143+1.p',unknown),
[] ).
cnf(9,axiom,
addition(A,addition(B,C)) = addition(addition(A,B),C),
file('KLE143+1.p',unknown),
[] ).
cnf(10,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[9])]),
[iquote('copy,9,flip.1')] ).
cnf(12,axiom,
addition(A,zero) = A,
file('KLE143+1.p',unknown),
[] ).
cnf(14,axiom,
addition(A,A) = A,
file('KLE143+1.p',unknown),
[] ).
cnf(16,axiom,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('KLE143+1.p',unknown),
[] ).
cnf(18,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[16])]),
[iquote('copy,16,flip.1')] ).
cnf(19,axiom,
multiplication(A,one) = A,
file('KLE143+1.p',unknown),
[] ).
cnf(22,axiom,
multiplication(one,A) = A,
file('KLE143+1.p',unknown),
[] ).
cnf(23,axiom,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('KLE143+1.p',unknown),
[] ).
cnf(25,axiom,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('KLE143+1.p',unknown),
[] ).
cnf(28,axiom,
multiplication(zero,A) = zero,
file('KLE143+1.p',unknown),
[] ).
cnf(31,axiom,
addition(one,multiplication(star(A),A)) = star(A),
file('KLE143+1.p',unknown),
[] ).
cnf(33,axiom,
strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
file('KLE143+1.p',unknown),
[] ).
cnf(34,plain,
addition(multiplication(A,strong_iteration(A)),one) = strong_iteration(A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[33])]),
[iquote('copy,33,flip.1')] ).
cnf(36,axiom,
strong_iteration(A) = addition(star(A),multiplication(strong_iteration(A),zero)),
file('KLE143+1.p',unknown),
[] ).
cnf(37,plain,
addition(star(A),multiplication(strong_iteration(A),zero)) = strong_iteration(A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[36])]),
[iquote('copy,36,flip.1')] ).
cnf(49,plain,
( ~ le_q(multiplication(A,B),B)
| le_q(multiplication(star(A),multiplication(A,B)),B) ),
inference(para_from,[status(thm),theory(equality)],[14,1]),
[iquote('para_from,14.1.1,1.1.1')] ).
cnf(50,plain,
addition(zero,A) = A,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,12])]),
[iquote('para_into,8.1.1,12.1.1,flip.1')] ).
cnf(52,plain,
( addition(A,B) = A
| ~ le_q(B,A) ),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,4])]),
[iquote('para_into,8.1.1,4.2.1,flip.1')] ).
cnf(70,plain,
addition(A,addition(A,B)) = addition(A,B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[10,14])]),
[iquote('para_into,10.1.1.1,14.1.1,flip.1')] ).
cnf(120,plain,
addition(multiplication(A,zero),multiplication(A,B)) = multiplication(A,B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[23,50])]),
[iquote('para_into,23.1.1.2,50.1.1,flip.1')] ).
cnf(239,plain,
addition(A,multiplication(star(B),multiplication(B,A))) = multiplication(star(B),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[31,25]),22,18])]),
[iquote('para_from,31.1.1,25.1.1.1,demod,22,18,flip.1')] ).
cnf(311,plain,
multiplication(strong_iteration(A),B) = addition(multiplication(star(A),B),multiplication(strong_iteration(A),zero)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[37,25]),18,28]),
[iquote('para_from,37.1.1,25.1.1.1,demod,18,28')] ).
cnf(315,plain,
addition(multiplication(star(A),B),multiplication(strong_iteration(A),zero)) = multiplication(strong_iteration(A),B),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[311])]),
[iquote('copy,311,flip.1')] ).
cnf(581,plain,
le_q(A,addition(A,B)),
inference(hyper,[status(thm)],[70,5]),
[iquote('hyper,70,5')] ).
cnf(605,plain,
le_q(multiplication(A,strong_iteration(A)),strong_iteration(A)),
inference(para_into,[status(thm),theory(equality)],[581,34]),
[iquote('para_into,581.1.2,34.1.1')] ).
cnf(682,plain,
le_q(multiplication(star(A),multiplication(A,strong_iteration(A))),strong_iteration(A)),
inference(hyper,[status(thm)],[605,49]),
[iquote('hyper,605,49')] ).
cnf(2710,plain,
le_q(multiplication(A,zero),multiplication(A,B)),
inference(hyper,[status(thm)],[120,5]),
[iquote('hyper,120,5')] ).
cnf(2717,plain,
le_q(multiplication(A,zero),A),
inference(para_into,[status(thm),theory(equality)],[2710,19]),
[iquote('para_into,2710.1.2,19.1.1')] ).
cnf(2721,plain,
addition(A,multiplication(A,zero)) = A,
inference(hyper,[status(thm)],[2717,52]),
[iquote('hyper,2717,52')] ).
cnf(3464,plain,
multiplication(star(A),strong_iteration(A)) = strong_iteration(A),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[682,52]),239]),
[iquote('hyper,682,52,demod,239')] ).
cnf(3466,plain,
multiplication(strong_iteration(A),strong_iteration(A)) = strong_iteration(A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[3464,315]),2721])]),
[iquote('para_from,3464.1.1,315.1.1.1,demod,2721,flip.1')] ).
cnf(3468,plain,
$false,
inference(binary,[status(thm)],[3466,6]),
[iquote('binary,3466.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE143+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 06:28:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.78/1.98 ----- Otter 3.3f, August 2004 -----
% 1.78/1.98 The process was started by sandbox2 on n009.cluster.edu,
% 1.78/1.98 Wed Jul 27 06:28:21 2022
% 1.78/1.98 The command was "./otter". The process ID is 21510.
% 1.78/1.98
% 1.78/1.98 set(prolog_style_variables).
% 1.78/1.98 set(auto).
% 1.78/1.98 dependent: set(auto1).
% 1.78/1.98 dependent: set(process_input).
% 1.78/1.98 dependent: clear(print_kept).
% 1.78/1.98 dependent: clear(print_new_demod).
% 1.78/1.98 dependent: clear(print_back_demod).
% 1.78/1.98 dependent: clear(print_back_sub).
% 1.78/1.98 dependent: set(control_memory).
% 1.78/1.98 dependent: assign(max_mem, 12000).
% 1.78/1.98 dependent: assign(pick_given_ratio, 4).
% 1.78/1.98 dependent: assign(stats_level, 1).
% 1.78/1.98 dependent: assign(max_seconds, 10800).
% 1.78/1.98 clear(print_given).
% 1.78/1.98
% 1.78/1.98 formula_list(usable).
% 1.78/1.98 all A (A=A).
% 1.78/1.98 all A B (addition(A,B)=addition(B,A)).
% 1.78/1.98 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.78/1.98 all A (addition(A,zero)=A).
% 1.78/1.98 all A (addition(A,A)=A).
% 1.78/1.98 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.78/1.98 all A (multiplication(A,one)=A).
% 1.78/1.98 all A (multiplication(one,A)=A).
% 1.78/1.98 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.78/1.98 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.78/1.98 all A (multiplication(zero,A)=zero).
% 1.78/1.98 all A (addition(one,multiplication(A,star(A)))=star(A)).
% 1.78/1.98 all A (addition(one,multiplication(star(A),A))=star(A)).
% 1.78/1.98 all A B C (le_q(addition(multiplication(A,C),B),C)->le_q(multiplication(star(A),B),C)).
% 1.78/1.98 all A B C (le_q(addition(multiplication(C,A),B),C)->le_q(multiplication(B,star(A)),C)).
% 1.78/1.98 all A (strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one)).
% 1.78/1.98 all A B C (le_q(C,addition(multiplication(A,C),B))->le_q(C,multiplication(strong_iteration(A),B))).
% 1.78/1.98 all A (strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero))).
% 1.78/1.98 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.78/1.98 -(all X0 (multiplication(strong_iteration(X0),strong_iteration(X0))=strong_iteration(X0))).
% 1.78/1.98 end_of_list.
% 1.78/1.98
% 1.78/1.98 -------> usable clausifies to:
% 1.78/1.98
% 1.78/1.98 list(usable).
% 1.78/1.98 0 [] A=A.
% 1.78/1.98 0 [] addition(A,B)=addition(B,A).
% 1.78/1.98 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.78/1.98 0 [] addition(A,zero)=A.
% 1.78/1.98 0 [] addition(A,A)=A.
% 1.78/1.98 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.78/1.98 0 [] multiplication(A,one)=A.
% 1.78/1.98 0 [] multiplication(one,A)=A.
% 1.78/1.98 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.78/1.98 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.78/1.98 0 [] multiplication(zero,A)=zero.
% 1.78/1.98 0 [] addition(one,multiplication(A,star(A)))=star(A).
% 1.78/1.98 0 [] addition(one,multiplication(star(A),A))=star(A).
% 1.78/1.98 0 [] -le_q(addition(multiplication(A,C),B),C)|le_q(multiplication(star(A),B),C).
% 1.78/1.98 0 [] -le_q(addition(multiplication(C,A),B),C)|le_q(multiplication(B,star(A)),C).
% 1.78/1.98 0 [] strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one).
% 1.78/1.98 0 [] -le_q(C,addition(multiplication(A,C),B))|le_q(C,multiplication(strong_iteration(A),B)).
% 1.78/1.98 0 [] strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero)).
% 1.78/1.98 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.78/1.98 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.78/1.98 0 [] multiplication(strong_iteration($c1),strong_iteration($c1))!=strong_iteration($c1).
% 1.78/1.98 end_of_list.
% 1.78/1.98
% 1.78/1.98 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.78/1.98
% 1.78/1.98 This is a Horn set with equality. The strategy will be
% 1.78/1.98 Knuth-Bendix and hyper_res, with positive clauses in
% 1.78/1.98 sos and nonpositive clauses in usable.
% 1.78/1.98
% 1.78/1.98 dependent: set(knuth_bendix).
% 1.78/1.98 dependent: set(anl_eq).
% 1.78/1.98 dependent: set(para_from).
% 1.78/1.98 dependent: set(para_into).
% 1.78/1.98 dependent: clear(para_from_right).
% 1.78/1.98 dependent: clear(para_into_right).
% 1.78/1.98 dependent: set(para_from_vars).
% 1.78/1.98 dependent: set(eq_units_both_ways).
% 1.78/1.98 dependent: set(dynamic_demod_all).
% 1.78/1.98 dependent: set(dynamic_demod).
% 1.78/1.98 dependent: set(order_eq).
% 1.78/1.98 dependent: set(back_demod).
% 1.78/1.98 dependent: set(lrpo).
% 1.78/1.98 dependent: set(hyper_res).
% 1.78/1.98 dependent: clear(order_hyper).
% 1.78/1.98
% 1.78/1.98 ------------> process usable:
% 1.78/1.98 ** KEPT (pick-wt=13): 1 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.78/1.98 ** KEPT (pick-wt=13): 2 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 3.57/3.79 ** KEPT (pick-wt=13): 3 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,multiplication(strong_iteration(B),C)).
% 3.57/3.79 ** KEPT (pick-wt=8): 4 [] -le_q(A,B)|addition(A,B)=B.
% 3.57/3.79 ** KEPT (pick-wt=8): 5 [] le_q(A,B)|addition(A,B)!=B.
% 3.57/3.79 ** KEPT (pick-wt=8): 6 [] multiplication(strong_iteration($c1),strong_iteration($c1))!=strong_iteration($c1).
% 3.57/3.79
% 3.57/3.79 ------------> process sos:
% 3.57/3.79 ** KEPT (pick-wt=3): 7 [] A=A.
% 3.57/3.79 ** KEPT (pick-wt=7): 8 [] addition(A,B)=addition(B,A).
% 3.57/3.79 ** KEPT (pick-wt=11): 10 [copy,9,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 3.57/3.79 ---> New Demodulator: 11 [new_demod,10] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 3.57/3.79 ** KEPT (pick-wt=5): 12 [] addition(A,zero)=A.
% 3.57/3.79 ---> New Demodulator: 13 [new_demod,12] addition(A,zero)=A.
% 3.57/3.79 ** KEPT (pick-wt=5): 14 [] addition(A,A)=A.
% 3.57/3.79 ---> New Demodulator: 15 [new_demod,14] addition(A,A)=A.
% 3.57/3.79 ** KEPT (pick-wt=11): 17 [copy,16,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 3.57/3.79 ---> New Demodulator: 18 [new_demod,17] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 3.57/3.79 ** KEPT (pick-wt=5): 19 [] multiplication(A,one)=A.
% 3.57/3.79 ---> New Demodulator: 20 [new_demod,19] multiplication(A,one)=A.
% 3.57/3.79 ** KEPT (pick-wt=5): 21 [] multiplication(one,A)=A.
% 3.57/3.79 ---> New Demodulator: 22 [new_demod,21] multiplication(one,A)=A.
% 3.57/3.79 ** KEPT (pick-wt=13): 23 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 3.57/3.79 ---> New Demodulator: 24 [new_demod,23] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 3.57/3.79 ** KEPT (pick-wt=13): 25 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 3.57/3.79 ---> New Demodulator: 26 [new_demod,25] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 3.57/3.79 ** KEPT (pick-wt=5): 27 [] multiplication(zero,A)=zero.
% 3.57/3.79 ---> New Demodulator: 28 [new_demod,27] multiplication(zero,A)=zero.
% 3.57/3.79 ** KEPT (pick-wt=9): 29 [] addition(one,multiplication(A,star(A)))=star(A).
% 3.57/3.79 ---> New Demodulator: 30 [new_demod,29] addition(one,multiplication(A,star(A)))=star(A).
% 3.57/3.79 ** KEPT (pick-wt=9): 31 [] addition(one,multiplication(star(A),A))=star(A).
% 3.57/3.79 ---> New Demodulator: 32 [new_demod,31] addition(one,multiplication(star(A),A))=star(A).
% 3.57/3.79 ** KEPT (pick-wt=9): 34 [copy,33,flip.1] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 3.57/3.79 ---> New Demodulator: 35 [new_demod,34] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A).
% 3.57/3.79 ** KEPT (pick-wt=10): 37 [copy,36,flip.1] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 3.57/3.79 ---> New Demodulator: 38 [new_demod,37] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A).
% 3.57/3.79 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 3.57/3.79 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] addition(A,B)=addition(B,A).
% 3.57/3.79 >>>> Starting back demodulation with 11.
% 3.57/3.79 >>>> Starting back demodulation with 13.
% 3.57/3.79 >>>> Starting back demodulation with 15.
% 3.57/3.79 >>>> Starting back demodulation with 18.
% 3.57/3.79 >>>> Starting back demodulation with 20.
% 3.57/3.79 >>>> Starting back demodulation with 22.
% 3.57/3.79 >>>> Starting back demodulation with 24.
% 3.57/3.79 >>>> Starting back demodulation with 26.
% 3.57/3.79 >>>> Starting back demodulation with 28.
% 3.57/3.79 >>>> Starting back demodulation with 30.
% 3.57/3.79 >>>> Starting back demodulation with 32.
% 3.57/3.79 >>>> Starting back demodulation with 35.
% 3.57/3.79 >>>> Starting back demodulation with 38.
% 3.57/3.79
% 3.57/3.79 ======= end of input processing =======
% 3.57/3.79
% 3.57/3.79 =========== start of search ===========
% 3.57/3.79
% 3.57/3.79
% 3.57/3.79 Resetting weight limit to 9.
% 3.57/3.79
% 3.57/3.79
% 3.57/3.79 Resetting weight limit to 9.
% 3.57/3.79
% 3.57/3.79 sos_size=1750
% 3.57/3.79
% 3.57/3.79
% 3.57/3.79 Resetting weight limit to 8.
% 3.57/3.79
% 3.57/3.79
% 3.57/3.79 Resetting weight limit to 8.
% 3.57/3.79
% 3.57/3.79 sos_size=1863
% 3.57/3.79
% 3.57/3.79 -------- PROOF --------
% 3.57/3.79
% 3.57/3.79 ----> UNIT CONFLICT at 1.81 sec ----> 3468 [binary,3466.1,6.1] $F.
% 3.57/3.79
% 3.57/3.79 Length of proof is 20. Level of proof is 7.
% 3.57/3.79
% 3.57/3.79 ---------------- PROOF ----------------
% 3.57/3.79 % SZS status Theorem
% 3.57/3.79 % SZS output start Refutation
% See solution above
% 3.57/3.79 ------------ end of proof -------------
% 3.57/3.79
% 3.57/3.79
% 3.57/3.79 Search stopped by max_proofs option.
% 3.57/3.79
% 3.57/3.79
% 3.57/3.79 Search stopped by max_proofs option.
% 3.57/3.79
% 3.57/3.79 ============ end of search ============
% 3.57/3.79
% 3.57/3.79 -------------- statistics -------------
% 3.57/3.79 clauses given 1049
% 3.57/3.79 clauses generated 309130
% 3.57/3.79 clauses kept 3247
% 3.57/3.79 clauses forward subsumed 79285
% 3.57/3.79 clauses back subsumed 684
% 3.57/3.79 Kbytes malloced 7812
% 3.57/3.79
% 3.57/3.79 ----------- times (seconds) -----------
% 3.57/3.79 user CPU time 1.81 (0 hr, 0 min, 1 sec)
% 3.57/3.79 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.57/3.79 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.57/3.79
% 3.57/3.79 That finishes the proof of the theorem.
% 3.57/3.79
% 3.57/3.79 Process 21510 finished Wed Jul 27 06:28:24 2022
% 3.57/3.79 Otter interrupted
% 3.57/3.79 PROOF FOUND
%------------------------------------------------------------------------------