%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP124-8.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 1.95s 2.19s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of clauses : 56 ( 22 unt; 28 nHn; 54 RR)
% Number of literals : 122 ( 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(7,axiom,
~ e_qualish(e_1,e_2),
file('GRP124-8.004.p',unknown),
[] ).
cnf(8,axiom,
~ e_qualish(e_1,e_3),
file('GRP124-8.004.p',unknown),
[] ).
cnf(9,axiom,
~ e_qualish(e_1,e_4),
file('GRP124-8.004.p',unknown),
[] ).
cnf(10,axiom,
~ e_qualish(e_2,e_1),
file('GRP124-8.004.p',unknown),
[] ).
cnf(11,axiom,
~ e_qualish(e_2,e_3),
file('GRP124-8.004.p',unknown),
[] ).
cnf(12,axiom,
~ e_qualish(e_2,e_4),
file('GRP124-8.004.p',unknown),
[] ).
cnf(13,axiom,
~ e_qualish(e_3,e_1),
file('GRP124-8.004.p',unknown),
[] ).
cnf(14,axiom,
~ e_qualish(e_3,e_2),
file('GRP124-8.004.p',unknown),
[] ).
cnf(19,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('GRP124-8.004.p',unknown),
[] ).
cnf(21,axiom,
( ~ product1(A,B,C)
| ~ product1(A,D,C)
| e_qualish(B,D) ),
file('GRP124-8.004.p',unknown),
[] ).
cnf(22,axiom,
( ~ product1(A,B,C)
| ~ product1(D,B,C)
| e_qualish(A,D) ),
file('GRP124-8.004.p',unknown),
[] ).
cnf(23,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('GRP124-8.004.p',unknown),
[] ).
cnf(24,axiom,
( ~ product2(A,B,C)
| ~ product2(A,B,D)
| e_qualish(C,D) ),
file('GRP124-8.004.p',unknown),
[] ).
cnf(25,axiom,
( ~ product2(A,B,C)
| ~ product2(A,D,C)
| e_qualish(B,D) ),
file('GRP124-8.004.p',unknown),
[] ).
cnf(26,axiom,
( ~ product2(A,B,C)
| ~ product2(D,B,C)
| e_qualish(A,D) ),
file('GRP124-8.004.p',unknown),
[] ).
cnf(27,axiom,
( ~ product1(A,B,C)
| ~ product1(C,A,D)
| product2(D,B,A) ),
file('GRP124-8.004.p',unknown),
[] ).
cnf(64,axiom,
group_element(e_1),
file('GRP124-8.004.p',unknown),
[] ).
cnf(65,axiom,
group_element(e_2),
file('GRP124-8.004.p',unknown),
[] ).
cnf(66,axiom,
group_element(e_3),
file('GRP124-8.004.p',unknown),
[] ).
cnf(68,axiom,
product1(A,A,A),
file('GRP124-8.004.p',unknown),
[] ).
cnf(69,axiom,
product2(A,A,A),
file('GRP124-8.004.p',unknown),
[] ).
cnf(73,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)],[65,19,64]),
[iquote('hyper,65,19,64')] ).
cnf(74,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)],[65,19,64]),
[iquote('hyper,65,19,64')] ).
cnf(76,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)],[66,23,65]),
[iquote('hyper,66,23,65')] ).
cnf(77,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)],[66,23,64]),
[iquote('hyper,66,23,64')] ).
cnf(80,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)],[66,19,65]),
[iquote('hyper,66,19,65')] ).
cnf(81,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)],[66,19,64]),
[iquote('hyper,66,19,64')] ).
cnf(166,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)],[73,21,68]),7]),
[iquote('hyper,73,21,68,unit_del,7')] ).
cnf(177,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)],[74,22,68]),7]),
[iquote('hyper,74,22,68,unit_del,7')] ).
cnf(181,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[166,22,68]),10]),
[iquote('hyper,166,22,68,unit_del,10')] ).
cnf(182,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)],[76,25,69]),11]),
[iquote('hyper,76,25,69,unit_del,11')] ).
cnf(188,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)],[77,25,69]),8]),
[iquote('hyper,77,25,69,unit_del,8')] ).
cnf(192,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[177,21,68]),10]),
[iquote('hyper,177,21,68,unit_del,10')] ).
cnf(193,plain,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[182,26,69]),14]),
[iquote('hyper,182,26,69,unit_del,14')] ).
cnf(200,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[188,26,69]),13]),
[iquote('hyper,188,26,69,unit_del,13')] ).
cnf(203,plain,
( product2(e_1,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[200,26,193]),10]),
[iquote('hyper,200,26,193,unit_del,10')] ).
cnf(218,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)],[80,21,68]),11]),
[iquote('hyper,80,21,68,unit_del,11')] ).
cnf(229,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)],[81,21,68]),8]),
[iquote('hyper,81,21,68,unit_del,8')] ).
cnf(236,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[218,22,68]),14]),
[iquote('hyper,218,22,68,unit_del,14')] ).
cnf(240,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[236,21,192]),8]),
[iquote('hyper,236,21,192,unit_del,8')] ).
cnf(262,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[229,22,68]),13]),
[iquote('hyper,229,22,68,unit_del,13')] ).
cnf(268,plain,
( product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[262,22,236]),10]),
[iquote('hyper,262,22,236,unit_del,10')] ).
cnf(269,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[262,21,181]),11]),
[iquote('hyper,262,21,181,unit_del,11')] ).
cnf(270,plain,
( product1(e_2,e_3,e_1)
| product2(e_3,e_3,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[268,27,240])]),
[iquote('hyper,268,27,240,factor_simp')] ).
cnf(274,plain,
( product1(e_1,e_3,e_2)
| product2(e_3,e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[269,27,268])]),
[iquote('hyper,269,27,268,factor_simp')] ).
cnf(303,plain,
product1(e_2,e_3,e_1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[270,24,69]),13]),
[iquote('hyper,270,24,69,unit_del,13')] ).
cnf(305,plain,
( product2(e_3,e_3,e_2)
| product1(e_1,e_2,e_4) ),
inference(hyper,[status(thm)],[303,27,181]),
[iquote('hyper,303,27,181')] ).
cnf(312,plain,
product1(e_1,e_3,e_2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[274,24,69]),14]),
[iquote('hyper,274,24,69,unit_del,14')] ).
cnf(313,plain,
( product2(e_4,e_3,e_1)
| product1(e_2,e_1,e_3) ),
inference(hyper,[status(thm)],[312,27,192]),
[iquote('hyper,312,27,192')] ).
cnf(332,plain,
product1(e_1,e_2,e_4),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[305,24,69]),14]),
[iquote('hyper,305,24,69,unit_del,14')] ).
cnf(333,plain,
product2(e_4,e_3,e_2),
inference(hyper,[status(thm)],[332,27,303]),
[iquote('hyper,332,27,303')] ).
cnf(335,plain,
product2(e_2,e_3,e_1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[333,26,203]),9]),
[iquote('hyper,333,26,203,unit_del,9')] ).
cnf(341,plain,
product1(e_2,e_1,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[313,26,335]),12]),
[iquote('hyper,313,26,335,unit_del,12')] ).
cnf(345,plain,
product2(e_3,e_3,e_1),
inference(hyper,[status(thm)],[341,27,312]),
[iquote('hyper,341,27,312')] ).
cnf(346,plain,
e_qualish(e_2,e_3),
inference(hyper,[status(thm)],[345,26,335]),
[iquote('hyper,345,26,335')] ).
cnf(347,plain,
$false,
inference(binary,[status(thm)],[346,11]),
[iquote('binary,346.1,11.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP124-8.004 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n011.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 05:14:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.95/2.12 ----- Otter 3.3f, August 2004 -----
% 1.95/2.12 The process was started by sandbox2 on n011.cluster.edu,
% 1.95/2.12 Wed Jul 27 05:14:10 2022
% 1.95/2.12 The command was "./otter". The process ID is 8357.
% 1.95/2.12
% 1.95/2.12 set(prolog_style_variables).
% 1.95/2.12 set(auto).
% 1.95/2.12 dependent: set(auto1).
% 1.95/2.12 dependent: set(process_input).
% 1.95/2.12 dependent: clear(print_kept).
% 1.95/2.12 dependent: clear(print_new_demod).
% 1.95/2.12 dependent: clear(print_back_demod).
% 1.95/2.12 dependent: clear(print_back_sub).
% 1.95/2.12 dependent: set(control_memory).
% 1.95/2.12 dependent: assign(max_mem, 12000).
% 1.95/2.12 dependent: assign(pick_given_ratio, 4).
% 1.95/2.12 dependent: assign(stats_level, 1).
% 1.95/2.12 dependent: assign(max_seconds, 10800).
% 1.95/2.12 clear(print_given).
% 1.95/2.12
% 1.95/2.12 list(usable).
% 1.95/2.12 0 [] next(e_0,e_1).
% 1.95/2.12 0 [] next(e_1,e_2).
% 1.95/2.12 0 [] next(e_2,e_3).
% 1.95/2.12 0 [] next(e_3,e_4).
% 1.95/2.12 0 [] greater(e_1,e_0).
% 1.95/2.12 0 [] greater(e_2,e_0).
% 1.95/2.12 0 [] greater(e_3,e_0).
% 1.95/2.12 0 [] greater(e_4,e_0).
% 1.95/2.12 0 [] greater(e_2,e_1).
% 1.95/2.12 0 [] greater(e_3,e_1).
% 1.95/2.12 0 [] greater(e_4,e_1).
% 1.95/2.12 0 [] greater(e_3,e_2).
% 1.95/2.12 0 [] greater(e_4,e_2).
% 1.95/2.12 0 [] greater(e_4,e_3).
% 1.95/2.12 0 [] -cycle(X,Y)| -cycle(X,Z)|e_qualish(Y,Z).
% 1.95/2.12 0 [] -group_element(X)|cycle(X,e_0)|cycle(X,e_1)|cycle(X,e_2)|cycle(X,e_3).
% 1.95/2.12 0 [] cycle(e_4,e_0).
% 1.95/2.12 0 [] -cycle(X,Y)| -cycle(W,Z)| -next(X,W)| -greater(Y,e_0)| -next(Z,Z1)|e_qualish(Y,Z1).
% 1.95/2.12 0 [] -cycle(X,Z1)| -cycle(Y,e_0)| -cycle(W,Z2)| -next(Y,W)| -greater(Y,X)| -greater(Z1,Z2).
% 1.95/2.12 0 [] -cycle(X,e_0)| -product(X,e_1,Y)| -greater(Y,X).
% 1.95/2.12 0 [] -cycle(X,Y)| -product(X,e_1,Z)| -greater(Y,e_0)| -next(X,X1)|e_qualish(Z,X1).
% 1.95/2.12 0 [] group_element(e_1).
% 1.95/2.12 0 [] group_element(e_2).
% 1.95/2.12 0 [] group_element(e_3).
% 1.95/2.12 0 [] group_element(e_4).
% 1.95/2.12 0 [] -e_qualish(e_1,e_2).
% 1.95/2.12 0 [] -e_qualish(e_1,e_3).
% 1.95/2.12 0 [] -e_qualish(e_1,e_4).
% 1.95/2.12 0 [] -e_qualish(e_2,e_1).
% 1.95/2.12 0 [] -e_qualish(e_2,e_3).
% 1.95/2.12 0 [] -e_qualish(e_2,e_4).
% 1.95/2.12 0 [] -e_qualish(e_3,e_1).
% 1.95/2.12 0 [] -e_qualish(e_3,e_2).
% 1.95/2.12 0 [] -e_qualish(e_3,e_4).
% 1.95/2.12 0 [] -e_qualish(e_4,e_1).
% 1.95/2.12 0 [] -e_qualish(e_4,e_2).
% 1.95/2.12 0 [] -e_qualish(e_4,e_3).
% 1.95/2.12 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).
% 1.95/2.12 0 [] -product1(X,Y,W)| -product1(X,Y,Z)|e_qualish(W,Z).
% 1.95/2.12 0 [] -product1(X,W,Y)| -product1(X,Z,Y)|e_qualish(W,Z).
% 1.95/2.12 0 [] -product1(W,Y,X)| -product1(Z,Y,X)|e_qualish(W,Z).
% 1.95/2.12 0 [] product1(X,X,X).
% 1.95/2.12 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).
% 1.95/2.12 0 [] -product2(X,Y,W)| -product2(X,Y,Z)|e_qualish(W,Z).
% 1.95/2.12 0 [] -product2(X,W,Y)| -product2(X,Z,Y)|e_qualish(W,Z).
% 1.95/2.12 0 [] -product2(W,Y,X)| -product2(Z,Y,X)|e_qualish(W,Z).
% 1.95/2.12 0 [] product2(X,X,X).
% 1.95/2.12 0 [] -product1(X,Y,Z1)| -product1(Z1,X,Z2)|product2(Z2,Y,X).
% 1.95/2.12 end_of_list.
% 1.95/2.12
% 1.95/2.12 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.95/2.12
% 1.95/2.12 This is a non-Horn set without equality. The strategy will
% 1.95/2.12 be ordered hyper_res, unit deletion, and factoring, with
% 1.95/2.12 satellites in sos and with nuclei in usable.
% 1.95/2.12
% 1.95/2.12 dependent: set(hyper_res).
% 1.95/2.12 dependent: set(factor).
% 1.95/2.12 dependent: set(unit_deletion).
% 1.95/2.12
% 1.95/2.12 ------------> process usable:
% 1.95/2.12 ** KEPT (pick-wt=9): 1 [] -cycle(A,B)| -cycle(A,C)|e_qualish(B,C).
% 1.95/2.12 ** KEPT (pick-wt=14): 2 [] -group_element(A)|cycle(A,e_0)|cycle(A,e_1)|cycle(A,e_2)|cycle(A,e_3).
% 1.95/2.12 ** KEPT (pick-wt=18): 3 [] -cycle(A,B)| -cycle(C,D)| -next(A,C)| -greater(B,e_0)| -next(D,E)|e_qualish(B,E).
% 1.95/2.12 ** KEPT (pick-wt=18): 4 [] -cycle(A,B)| -cycle(C,e_0)| -cycle(D,E)| -next(C,D)| -greater(C,A)| -greater(B,E).
% 1.95/2.12 ** KEPT (pick-wt=10): 5 [] -cycle(A,e_0)| -product(A,e_1,B)| -greater(B,A).
% 1.95/2.12 ** KEPT (pick-wt=16): 6 [] -cycle(A,B)| -product(A,e_1,C)| -greater(B,e_0)| -next(A,D)|e_qualish(C,D).
% 1.95/2.12 ** KEPT (pick-wt=3): 7 [] -e_qualish(e_1,e_2).
% 1.95/2.12 ** KEPT (pick-wt=3): 8 [] -e_qualish(e_1,e_3).
% 1.95/2.12 ** KEPT (pick-wt=3): 9 [] -e_qualish(e_1,e_4).
% 1.95/2.12 ** KEPT (pick-wt=3): 10 [] -e_qualish(e_2,e_1).
% 1.95/2.12 ** KEPT (pick-wt=3): 11 [] -e_qualish(e_2,e_3).
% 1.95/2.12 ** KEPT (pick-wt=3): 12 [] -e_qualish(e_2,e_4).
% 1.95/2.12 ** KEPT (pick-wt=3): 13 [] -e_qualish(e_3,e_1).
% 1.95/2.12 ** KEPT (pick-wt=3): 14 [] -e_qualish(e_3,e_2).
% 1.95/2.12 ** KEPT (pick-wt=3): 15 [] -e_qualish(e_3,e_4).
% 1.95/2.12 ** KEPT (pick-wt=3): 16 [] -e_qualish(e_4,e_1).
% 1.95/2.12 ** KEPT (pick-wt=3): 17 [] -e_qualish(e_4,e_2).
% 1.95/2.12 ** KEPT (pick-wt=3): 18 [] -e_qualish(e_4,e_3).
% 1.95/2.12 ** KEPT (pick-wt=20): 19 [] -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).
% 1.95/2.19 ** KEPT (pick-wt=11): 20 [] -product1(A,B,C)| -product1(A,B,D)|e_qualish(C,D).
% 1.95/2.19 ** KEPT (pick-wt=11): 21 [] -product1(A,B,C)| -product1(A,D,C)|e_qualish(B,D).
% 1.95/2.19 ** KEPT (pick-wt=11): 22 [] -product1(A,B,C)| -product1(D,B,C)|e_qualish(A,D).
% 1.95/2.19 ** KEPT (pick-wt=20): 23 [] -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).
% 1.95/2.19 ** KEPT (pick-wt=11): 24 [] -product2(A,B,C)| -product2(A,B,D)|e_qualish(C,D).
% 1.95/2.19 ** KEPT (pick-wt=11): 25 [] -product2(A,B,C)| -product2(A,D,C)|e_qualish(B,D).
% 1.95/2.19 ** KEPT (pick-wt=11): 26 [] -product2(A,B,C)| -product2(D,B,C)|e_qualish(A,D).
% 1.95/2.19 ** KEPT (pick-wt=12): 27 [] -product1(A,B,C)| -product1(C,A,D)|product2(D,B,A).
% 1.95/2.19
% 1.95/2.19 ------------> process sos:
% 1.95/2.19 ** KEPT (pick-wt=3): 49 [] next(e_0,e_1).
% 1.95/2.19 ** KEPT (pick-wt=3): 50 [] next(e_1,e_2).
% 1.95/2.19 ** KEPT (pick-wt=3): 51 [] next(e_2,e_3).
% 1.95/2.19 ** KEPT (pick-wt=3): 52 [] next(e_3,e_4).
% 1.95/2.19 ** KEPT (pick-wt=3): 53 [] greater(e_1,e_0).
% 1.95/2.19 ** KEPT (pick-wt=3): 54 [] greater(e_2,e_0).
% 1.95/2.19 ** KEPT (pick-wt=3): 55 [] greater(e_3,e_0).
% 1.95/2.19 ** KEPT (pick-wt=3): 56 [] greater(e_4,e_0).
% 1.95/2.19 ** KEPT (pick-wt=3): 57 [] greater(e_2,e_1).
% 1.95/2.19 ** KEPT (pick-wt=3): 58 [] greater(e_3,e_1).
% 1.95/2.19 ** KEPT (pick-wt=3): 59 [] greater(e_4,e_1).
% 1.95/2.19 ** KEPT (pick-wt=3): 60 [] greater(e_3,e_2).
% 1.95/2.19 ** KEPT (pick-wt=3): 61 [] greater(e_4,e_2).
% 1.95/2.19 ** KEPT (pick-wt=3): 62 [] greater(e_4,e_3).
% 1.95/2.19 ** KEPT (pick-wt=3): 63 [] cycle(e_4,e_0).
% 1.95/2.19 ** KEPT (pick-wt=2): 64 [] group_element(e_1).
% 1.95/2.19 ** KEPT (pick-wt=2): 65 [] group_element(e_2).
% 1.95/2.19 ** KEPT (pick-wt=2): 66 [] group_element(e_3).
% 1.95/2.19 ** KEPT (pick-wt=2): 67 [] group_element(e_4).
% 1.95/2.19 ** KEPT (pick-wt=4): 68 [] product1(A,A,A).
% 1.95/2.19 ** KEPT (pick-wt=4): 69 [] product2(A,A,A).
% 1.95/2.19 69 back subsumes 43.
% 1.95/2.19
% 1.95/2.19 ======= end of input processing =======
% 1.95/2.19
% 1.95/2.19 =========== start of search ===========
% 1.95/2.19
% 1.95/2.19 -------- PROOF --------
% 1.95/2.19
% 1.95/2.19 ----> UNIT CONFLICT at 0.07 sec ----> 347 [binary,346.1,11.1] $F.
% 1.95/2.19
% 1.95/2.19 Length of proof is 34. Level of proof is 13.
% 1.95/2.19
% 1.95/2.19 ---------------- PROOF ----------------
% 1.95/2.19 % SZS status Unsatisfiable
% 1.95/2.19 % SZS output start Refutation
% See solution above
% 1.95/2.19 ------------ end of proof -------------
% 1.95/2.19
% 1.95/2.19
% 1.95/2.19 Search stopped by max_proofs option.
% 1.95/2.19
% 1.95/2.19
% 1.95/2.19 Search stopped by max_proofs option.
% 1.95/2.19
% 1.95/2.19 ============ end of search ============
% 1.95/2.19
% 1.95/2.19 -------------- statistics -------------
% 1.95/2.19 clauses given 98
% 1.95/2.19 clauses generated 2884
% 1.95/2.19 clauses kept 346
% 1.95/2.19 clauses forward subsumed 2586
% 1.95/2.19 clauses back subsumed 232
% 1.95/2.19 Kbytes malloced 976
% 1.95/2.19
% 1.95/2.19 ----------- times (seconds) -----------
% 1.95/2.19 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.95/2.19 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.95/2.19 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.95/2.19
% 1.95/2.19 That finishes the proof of the theorem.
% 1.95/2.19
% 1.95/2.19 Process 8357 finished Wed Jul 27 05:14:12 2022
% 1.95/2.19 Otter interrupted
% 1.95/2.19 PROOF FOUND
%------------------------------------------------------------------------------