TSTP Solution File: GRP124-9.004 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 12:56:09 EDT 2022
% Result : Unsatisfiable 1.66s 1.84s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of clauses : 57 ( 22 unt; 29 nHn; 55 RR)
% Number of literals : 125 ( 0 equ; 24 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ e_qualish(e_1,e_2),
file('GRP124-9.004.p',unknown),
[] ).
cnf(4,axiom,
~ e_qualish(e_1,e_3),
file('GRP124-9.004.p',unknown),
[] ).
cnf(5,axiom,
~ e_qualish(e_1,e_4),
file('GRP124-9.004.p',unknown),
[] ).
cnf(6,axiom,
~ e_qualish(e_2,e_1),
file('GRP124-9.004.p',unknown),
[] ).
cnf(7,axiom,
~ e_qualish(e_2,e_3),
file('GRP124-9.004.p',unknown),
[] ).
cnf(8,axiom,
~ e_qualish(e_2,e_4),
file('GRP124-9.004.p',unknown),
[] ).
cnf(9,axiom,
~ e_qualish(e_3,e_1),
file('GRP124-9.004.p',unknown),
[] ).
cnf(10,axiom,
~ e_qualish(e_3,e_2),
file('GRP124-9.004.p',unknown),
[] ).
cnf(15,axiom,
( ~ group_element(A)
| ~ group_element(B)
| product1(A,B,e_1)
| product1(A,B,e_2)
| product1(A,B,e_3)
| product1(A,B,e_4) ),
file('GRP124-9.004.p',unknown),
[] ).
cnf(17,axiom,
( ~ product1(A,B,C)
| ~ product1(A,D,C)
| e_qualish(B,D) ),
file('GRP124-9.004.p',unknown),
[] ).
cnf(18,axiom,
( ~ product1(A,B,C)
| ~ product1(D,B,C)
| e_qualish(A,D) ),
file('GRP124-9.004.p',unknown),
[] ).
cnf(19,axiom,
( ~ group_element(A)
| ~ group_element(B)
| product2(A,B,e_1)
| product2(A,B,e_2)
| product2(A,B,e_3)
| product2(A,B,e_4) ),
file('GRP124-9.004.p',unknown),
[] ).
cnf(20,axiom,
( ~ product2(A,B,C)
| ~ product2(A,B,D)
| e_qualish(C,D) ),
file('GRP124-9.004.p',unknown),
[] ).
cnf(21,axiom,
( ~ product2(A,B,C)
| ~ product2(A,D,C)
| e_qualish(B,D) ),
file('GRP124-9.004.p',unknown),
[] ).
cnf(22,axiom,
( ~ product2(A,B,C)
| ~ product2(D,B,C)
| e_qualish(A,D) ),
file('GRP124-9.004.p',unknown),
[] ).
cnf(23,axiom,
( ~ product1(A,B,C)
| ~ product1(C,A,D)
| product2(D,B,A) ),
file('GRP124-9.004.p',unknown),
[] ).
cnf(35,axiom,
group_element(e_1),
file('GRP124-9.004.p',unknown),
[] ).
cnf(36,axiom,
group_element(e_2),
file('GRP124-9.004.p',unknown),
[] ).
cnf(37,axiom,
group_element(e_3),
file('GRP124-9.004.p',unknown),
[] ).
cnf(39,axiom,
product1(A,A,A),
file('GRP124-9.004.p',unknown),
[] ).
cnf(40,axiom,
product2(A,A,A),
file('GRP124-9.004.p',unknown),
[] ).
cnf(47,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(hyper,[status(thm)],[36,15,35]),
[iquote('hyper,36,15,35')] ).
cnf(48,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(hyper,[status(thm)],[36,15,35]),
[iquote('hyper,36,15,35')] ).
cnf(55,plain,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4) ),
inference(hyper,[status(thm)],[37,19,36]),
[iquote('hyper,37,19,36')] ).
cnf(56,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_4) ),
inference(hyper,[status(thm)],[37,19,35]),
[iquote('hyper,37,19,35')] ).
cnf(59,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(hyper,[status(thm)],[37,15,36]),
[iquote('hyper,37,15,36')] ).
cnf(60,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_4) ),
inference(hyper,[status(thm)],[37,15,35]),
[iquote('hyper,37,15,35')] ).
cnf(104,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[47,17,39]),3]),
[iquote('hyper,47,17,39,unit_del,3')] ).
cnf(107,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[104,18,39]),6]),
[iquote('hyper,104,18,39,unit_del,6')] ).
cnf(110,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[48,18,39]),3]),
[iquote('hyper,48,18,39,unit_del,3')] ).
cnf(114,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[110,17,39]),6]),
[iquote('hyper,110,17,39,unit_del,6')] ).
cnf(115,plain,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[55,21,40]),7]),
[iquote('hyper,55,21,40,unit_del,7')] ).
cnf(118,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[56,21,40]),4]),
[iquote('hyper,56,21,40,unit_del,4')] ).
cnf(121,plain,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[115,22,40]),10]),
[iquote('hyper,115,22,40,unit_del,10')] ).
cnf(124,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[118,22,40]),9]),
[iquote('hyper,118,22,40,unit_del,9')] ).
cnf(131,plain,
( product2(e_1,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[124,22,121]),6]),
[iquote('hyper,124,22,121,unit_del,6')] ).
cnf(153,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[59,17,39]),7]),
[iquote('hyper,59,17,39,unit_del,7')] ).
cnf(158,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[153,18,39]),10]),
[iquote('hyper,153,18,39,unit_del,10')] ).
cnf(161,plain,
( product1(e_2,e_3,e_4)
| product2(e_3,e_3,e_2)
| product1(e_1,e_2,e_4) ),
inference(hyper,[status(thm)],[158,23,107]),
[iquote('hyper,158,23,107')] ).
cnf(162,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[158,17,114]),4]),
[iquote('hyper,158,17,114,unit_del,4')] ).
cnf(165,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[60,17,39]),4]),
[iquote('hyper,60,17,39,unit_del,4')] ).
cnf(182,plain,
( product1(e_2,e_3,e_4)
| product1(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[161,20,40]),10]),
[iquote('hyper,161,20,40,unit_del,10')] ).
cnf(183,plain,
( product1(e_1,e_2,e_4)
| product1(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[182,17,114]),4]),
[iquote('hyper,182,17,114,unit_del,4')] ).
cnf(230,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[165,18,39]),9]),
[iquote('hyper,165,18,39,unit_del,9')] ).
cnf(240,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[230,18,182]),6]),
[iquote('hyper,230,18,182,unit_del,6')] ).
cnf(245,plain,
( product1(e_1,e_2,e_4)
| product2(e_3,e_3,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[240,23,183])]),
[iquote('hyper,240,23,183,factor_simp')] ).
cnf(246,plain,
product1(e_1,e_3,e_2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[240,17,230]),10])]),
[iquote('hyper,240,17,230,unit_del,10,factor_simp')] ).
cnf(247,plain,
( product2(e_3,e_3,e_1)
| product1(e_2,e_3,e_1) ),
inference(hyper,[status(thm)],[246,23,162]),
[iquote('hyper,246,23,162')] ).
cnf(248,plain,
( product2(e_4,e_3,e_1)
| product1(e_2,e_1,e_3) ),
inference(hyper,[status(thm)],[246,23,114]),
[iquote('hyper,246,23,114')] ).
cnf(256,plain,
product1(e_1,e_2,e_4),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[245,20,40]),9]),
[iquote('hyper,245,20,40,unit_del,9')] ).
cnf(263,plain,
product1(e_2,e_3,e_1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[247,20,40]),9]),
[iquote('hyper,247,20,40,unit_del,9')] ).
cnf(264,plain,
product2(e_4,e_3,e_2),
inference(hyper,[status(thm)],[263,23,256]),
[iquote('hyper,263,23,256')] ).
cnf(266,plain,
product2(e_2,e_3,e_1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[264,22,131]),5]),
[iquote('hyper,264,22,131,unit_del,5')] ).
cnf(268,plain,
product1(e_2,e_1,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[248,22,266]),8]),
[iquote('hyper,248,22,266,unit_del,8')] ).
cnf(269,plain,
product2(e_3,e_3,e_1),
inference(hyper,[status(thm)],[268,23,246]),
[iquote('hyper,268,23,246')] ).
cnf(270,plain,
e_qualish(e_2,e_3),
inference(hyper,[status(thm)],[269,22,266]),
[iquote('hyper,269,22,266')] ).
cnf(271,plain,
$false,
inference(binary,[status(thm)],[270,7]),
[iquote('binary,270.1,7.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 05:12:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.60/1.81 ----- Otter 3.3f, August 2004 -----
% 1.60/1.81 The process was started by sandbox2 on n029.cluster.edu,
% 1.60/1.81 Wed Jul 27 05:12:29 2022
% 1.60/1.81 The command was "./otter". The process ID is 7026.
% 1.60/1.81
% 1.60/1.81 set(prolog_style_variables).
% 1.60/1.81 set(auto).
% 1.60/1.81 dependent: set(auto1).
% 1.60/1.81 dependent: set(process_input).
% 1.60/1.81 dependent: clear(print_kept).
% 1.60/1.81 dependent: clear(print_new_demod).
% 1.60/1.81 dependent: clear(print_back_demod).
% 1.60/1.81 dependent: clear(print_back_sub).
% 1.60/1.81 dependent: set(control_memory).
% 1.60/1.81 dependent: assign(max_mem, 12000).
% 1.60/1.81 dependent: assign(pick_given_ratio, 4).
% 1.60/1.81 dependent: assign(stats_level, 1).
% 1.60/1.81 dependent: assign(max_seconds, 10800).
% 1.60/1.81 clear(print_given).
% 1.60/1.81
% 1.60/1.81 list(usable).
% 1.60/1.81 0 [] -group_element(X)| -group_element(Y)|product(e_1,X,Y)|product(e_2,X,Y)|product(e_3,X,Y)|product(e_4,X,Y).
% 1.60/1.81 0 [] -group_element(X)| -group_element(Y)|product(X,e_1,Y)|product(X,e_2,Y)|product(X,e_3,Y)|product(X,e_4,Y).
% 1.60/1.81 0 [] group_element(e_1).
% 1.60/1.81 0 [] group_element(e_2).
% 1.60/1.81 0 [] group_element(e_3).
% 1.60/1.81 0 [] group_element(e_4).
% 1.60/1.81 0 [] -e_qualish(e_1,e_2).
% 1.60/1.81 0 [] -e_qualish(e_1,e_3).
% 1.60/1.81 0 [] -e_qualish(e_1,e_4).
% 1.60/1.81 0 [] -e_qualish(e_2,e_1).
% 1.60/1.81 0 [] -e_qualish(e_2,e_3).
% 1.60/1.81 0 [] -e_qualish(e_2,e_4).
% 1.60/1.81 0 [] -e_qualish(e_3,e_1).
% 1.60/1.81 0 [] -e_qualish(e_3,e_2).
% 1.60/1.81 0 [] -e_qualish(e_3,e_4).
% 1.60/1.81 0 [] -e_qualish(e_4,e_1).
% 1.60/1.81 0 [] -e_qualish(e_4,e_2).
% 1.60/1.81 0 [] -e_qualish(e_4,e_3).
% 1.60/1.81 0 [] -group_element(X)| -group_element(Y)|product1(X,Y,e_1)|product1(X,Y,e_2)|product1(X,Y,e_3)|product1(X,Y,e_4).
% 1.60/1.81 0 [] -product1(X,Y,W)| -product1(X,Y,Z)|e_qualish(W,Z).
% 1.60/1.81 0 [] -product1(X,W,Y)| -product1(X,Z,Y)|e_qualish(W,Z).
% 1.60/1.81 0 [] -product1(W,Y,X)| -product1(Z,Y,X)|e_qualish(W,Z).
% 1.60/1.81 0 [] product1(X,X,X).
% 1.60/1.81 0 [] -group_element(X)| -group_element(Y)|product2(X,Y,e_1)|product2(X,Y,e_2)|product2(X,Y,e_3)|product2(X,Y,e_4).
% 1.60/1.81 0 [] -product2(X,Y,W)| -product2(X,Y,Z)|e_qualish(W,Z).
% 1.60/1.81 0 [] -product2(X,W,Y)| -product2(X,Z,Y)|e_qualish(W,Z).
% 1.60/1.81 0 [] -product2(W,Y,X)| -product2(Z,Y,X)|e_qualish(W,Z).
% 1.60/1.81 0 [] product2(X,X,X).
% 1.60/1.81 0 [] -product1(X,Y,Z1)| -product1(Z1,X,Z2)|product2(Z2,Y,X).
% 1.60/1.81 end_of_list.
% 1.60/1.81
% 1.60/1.81 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.60/1.81
% 1.60/1.81 This is a non-Horn set without equality. The strategy will
% 1.60/1.81 be ordered hyper_res, unit deletion, and factoring, with
% 1.60/1.81 satellites in sos and with nuclei in usable.
% 1.60/1.81
% 1.60/1.81 dependent: set(hyper_res).
% 1.60/1.81 dependent: set(factor).
% 1.60/1.81 dependent: set(unit_deletion).
% 1.60/1.81
% 1.60/1.81 ------------> process usable:
% 1.60/1.81 ** KEPT (pick-wt=20): 1 [] -group_element(A)| -group_element(B)|product(e_1,A,B)|product(e_2,A,B)|product(e_3,A,B)|product(e_4,A,B).
% 1.60/1.81 ** KEPT (pick-wt=20): 2 [] -group_element(A)| -group_element(B)|product(A,e_1,B)|product(A,e_2,B)|product(A,e_3,B)|product(A,e_4,B).
% 1.60/1.81 ** KEPT (pick-wt=3): 3 [] -e_qualish(e_1,e_2).
% 1.60/1.81 ** KEPT (pick-wt=3): 4 [] -e_qualish(e_1,e_3).
% 1.60/1.81 ** KEPT (pick-wt=3): 5 [] -e_qualish(e_1,e_4).
% 1.60/1.81 ** KEPT (pick-wt=3): 6 [] -e_qualish(e_2,e_1).
% 1.60/1.81 ** KEPT (pick-wt=3): 7 [] -e_qualish(e_2,e_3).
% 1.60/1.81 ** KEPT (pick-wt=3): 8 [] -e_qualish(e_2,e_4).
% 1.60/1.81 ** KEPT (pick-wt=3): 9 [] -e_qualish(e_3,e_1).
% 1.60/1.81 ** KEPT (pick-wt=3): 10 [] -e_qualish(e_3,e_2).
% 1.60/1.81 ** KEPT (pick-wt=3): 11 [] -e_qualish(e_3,e_4).
% 1.60/1.81 ** KEPT (pick-wt=3): 12 [] -e_qualish(e_4,e_1).
% 1.60/1.81 ** KEPT (pick-wt=3): 13 [] -e_qualish(e_4,e_2).
% 1.60/1.81 ** KEPT (pick-wt=3): 14 [] -e_qualish(e_4,e_3).
% 1.60/1.81 ** KEPT (pick-wt=20): 15 [] -group_element(A)| -group_element(B)|product1(A,B,e_1)|product1(A,B,e_2)|product1(A,B,e_3)|product1(A,B,e_4).
% 1.60/1.81 ** KEPT (pick-wt=11): 16 [] -product1(A,B,C)| -product1(A,B,D)|e_qualish(C,D).
% 1.60/1.81 ** KEPT (pick-wt=11): 17 [] -product1(A,B,C)| -product1(A,D,C)|e_qualish(B,D).
% 1.60/1.81 ** KEPT (pick-wt=11): 18 [] -product1(A,B,C)| -product1(D,B,C)|e_qualish(A,D).
% 1.60/1.81 ** KEPT (pick-wt=20): 19 [] -group_element(A)| -group_element(B)|product2(A,B,e_1)|product2(A,B,e_2)|product2(A,B,e_3)|product2(A,B,e_4).
% 1.60/1.81 ** KEPT (pick-wt=11): 20 [] -product2(A,B,C)| -product2(A,B,D)|e_qualish(C,D).
% 1.60/1.81 ** KEPT (pick-wt=11): 21 [] -product2(A,B,C)| -product2(A,D,C)|e_qualish(B,D).
% 1.60/1.81 ** KEPT (pick-wt=11): 22 [] -product2(A,B,C)| -product2(D,B,C)|e_qualish(A,D).
% 1.60/1.81 ** KEPT (pick-wt=12): 23 [] -product1(A,B,C)| -product1(C,A,D)|product2(D,B,A).
% 1.60/1.81
% 1.60/1.81 ------------> process sos:
% 1.60/1.81 ** KEPT (pick-wt=2): 35 [] group_element(e_1).
% 1.60/1.81 ** KEPT (pick-wt=2): 36 [] group_element(e_2).
% 1.66/1.84 ** KEPT (pick-wt=2): 37 [] group_element(e_3).
% 1.66/1.84 ** KEPT (pick-wt=2): 38 [] group_element(e_4).
% 1.66/1.84 ** KEPT (pick-wt=4): 39 [] product1(A,A,A).
% 1.66/1.84 ** KEPT (pick-wt=4): 40 [] product2(A,A,A).
% 1.66/1.84 40 back subsumes 34.
% 1.66/1.84
% 1.66/1.84 ======= end of input processing =======
% 1.66/1.84
% 1.66/1.84 =========== start of search ===========
% 1.66/1.84
% 1.66/1.84 -------- PROOF --------
% 1.66/1.84
% 1.66/1.84 ----> UNIT CONFLICT at 0.03 sec ----> 271 [binary,270.1,7.1] $F.
% 1.66/1.84
% 1.66/1.84 Length of proof is 35. Level of proof is 14.
% 1.66/1.84
% 1.66/1.84 ---------------- PROOF ----------------
% 1.66/1.84 % SZS status Unsatisfiable
% 1.66/1.84 % SZS output start Refutation
% See solution above
% 1.66/1.84 ------------ end of proof -------------
% 1.66/1.84
% 1.66/1.84
% 1.66/1.84 Search stopped by max_proofs option.
% 1.66/1.84
% 1.66/1.84
% 1.66/1.84 Search stopped by max_proofs option.
% 1.66/1.84
% 1.66/1.84 ============ end of search ============
% 1.66/1.84
% 1.66/1.84 -------------- statistics -------------
% 1.66/1.84 clauses given 85
% 1.66/1.84 clauses generated 2091
% 1.66/1.84 clauses kept 270
% 1.66/1.84 clauses forward subsumed 1850
% 1.66/1.84 clauses back subsumed 169
% 1.66/1.84 Kbytes malloced 976
% 1.66/1.84
% 1.66/1.84 ----------- times (seconds) -----------
% 1.66/1.84 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 1.66/1.84 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.84 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.66/1.84
% 1.66/1.84 That finishes the proof of the theorem.
% 1.66/1.84
% 1.66/1.84 Process 7026 finished Wed Jul 27 05:12:30 2022
% 1.66/1.84 Otter interrupted
% 1.66/1.84 PROOF FOUND
%------------------------------------------------------------------------------