TSTP Solution File: GRP129-4.004 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP129-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 12:56:29 EDT 2022
% Result : Unsatisfiable 1.94s 2.13s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of clauses : 65 ( 19 unt; 39 nHn; 65 RR)
% Number of literals : 154 ( 0 equ; 30 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 33 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ 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) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(2,axiom,
( ~ 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) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(3,axiom,
( product(A,B,C)
| ~ product(C,A,D)
| ~ product(B,C,D) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(4,axiom,
( product(A,B,C)
| ~ product(B,D,C)
| ~ product(D,A,B) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(5,axiom,
~ e_qualish(e_1,e_2),
file('GRP129-4.004.p',unknown),
[] ).
cnf(6,axiom,
~ e_qualish(e_1,e_3),
file('GRP129-4.004.p',unknown),
[] ).
cnf(7,axiom,
~ e_qualish(e_1,e_4),
file('GRP129-4.004.p',unknown),
[] ).
cnf(8,axiom,
~ e_qualish(e_2,e_1),
file('GRP129-4.004.p',unknown),
[] ).
cnf(9,axiom,
~ e_qualish(e_2,e_3),
file('GRP129-4.004.p',unknown),
[] ).
cnf(10,axiom,
~ e_qualish(e_2,e_4),
file('GRP129-4.004.p',unknown),
[] ).
cnf(11,axiom,
~ e_qualish(e_3,e_1),
file('GRP129-4.004.p',unknown),
[] ).
cnf(13,axiom,
~ e_qualish(e_3,e_4),
file('GRP129-4.004.p',unknown),
[] ).
cnf(14,axiom,
~ e_qualish(e_4,e_1),
file('GRP129-4.004.p',unknown),
[] ).
cnf(16,axiom,
~ e_qualish(e_4,e_3),
file('GRP129-4.004.p',unknown),
[] ).
cnf(17,axiom,
( ~ group_element(A)
| ~ group_element(B)
| product(A,B,e_1)
| product(A,B,e_2)
| product(A,B,e_3)
| product(A,B,e_4) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(18,axiom,
( ~ product(A,B,C)
| ~ product(A,B,D)
| e_qualish(C,D) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(19,axiom,
( ~ product(A,B,C)
| ~ product(A,D,C)
| e_qualish(B,D) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(20,axiom,
( ~ product(A,B,C)
| ~ product(D,B,C)
| e_qualish(A,D) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(21,axiom,
( ~ product(A,B,C)
| ~ product(B,C,D)
| product(C,A,D) ),
file('GRP129-4.004.p',unknown),
[] ).
cnf(24,plain,
( product(A,A,A)
| ~ product(A,A,B) ),
inference(factor,[status(thm)],[3]),
[iquote('factor,3.2.3')] ).
cnf(25,plain,
( ~ group_element(A)
| product(A,A,e_1)
| product(A,A,e_2)
| product(A,A,e_3)
| product(A,A,e_4) ),
inference(factor,[status(thm)],[17]),
[iquote('factor,17.1.2')] ).
cnf(29,axiom,
group_element(e_1),
file('GRP129-4.004.p',unknown),
[] ).
cnf(30,axiom,
group_element(e_2),
file('GRP129-4.004.p',unknown),
[] ).
cnf(33,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(hyper,[status(thm)],[29,25]),
[iquote('hyper,29,25')] ).
cnf(36,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(hyper,[status(thm)],[30,25]),
[iquote('hyper,30,25')] ).
cnf(39,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(hyper,[status(thm)],[30,17,29]),
[iquote('hyper,30,17,29')] ).
cnf(40,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(hyper,[status(thm)],[30,17,29]),
[iquote('hyper,30,17,29')] ).
cnf(41,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(hyper,[status(thm)],[30,2,29]),
[iquote('hyper,30,2,29')] ).
cnf(44,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(hyper,[status(thm)],[30,1,29]),
[iquote('hyper,30,1,29')] ).
cnf(84,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[33,24])]),
[iquote('hyper,33,24,factor_simp')] ).
cnf(101,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[84,24])]),
[iquote('hyper,84,24,factor_simp')] ).
cnf(108,plain,
product(e_1,e_1,e_1),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[101,24])]),
[iquote('hyper,101,24,factor_simp')] ).
cnf(111,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[36,24])]),
[iquote('hyper,36,24,factor_simp')] ).
cnf(122,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[111,24])]),
[iquote('hyper,111,24,factor_simp')] ).
cnf(129,plain,
product(e_2,e_2,e_2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[122,24])]),
[iquote('hyper,122,24,factor_simp')] ).
cnf(131,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[39,19,108]),5]),
[iquote('hyper,39,19,108,unit_del,5')] ).
cnf(137,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[131,20,129]),8]),
[iquote('hyper,131,20,129,unit_del,8')] ).
cnf(143,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[40,20,108]),5]),
[iquote('hyper,40,20,108,unit_del,5')] ).
cnf(155,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[143,19,129]),8]),
[iquote('hyper,143,19,129,unit_del,8')] ).
cnf(163,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_4) ),
inference(hyper,[status(thm)],[155,3,137]),
[iquote('hyper,155,3,137')] ).
cnf(166,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(hyper,[status(thm)],[155,3,137]),
[iquote('hyper,155,3,137')] ).
cnf(170,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[41,18,108]),5]),
[iquote('hyper,41,18,108,unit_del,5')] ).
cnf(182,plain,
( product(e_2,e_1,e_4)
| product(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[163,18,129]),8]),
[iquote('hyper,163,18,129,unit_del,8')] ).
cnf(203,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[166,18,129]),8]),
[iquote('hyper,166,18,129,unit_del,8')] ).
cnf(230,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[170,20,129]),8]),
[iquote('hyper,170,20,129,unit_del,8')] ).
cnf(246,plain,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(hyper,[status(thm)],[230,21,203]),
[iquote('hyper,230,21,203')] ).
cnf(253,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_4) ),
inference(hyper,[status(thm)],[230,21,182]),
[iquote('hyper,230,21,182')] ).
cnf(263,plain,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[44,19,108]),5]),
[iquote('hyper,44,19,108,unit_del,5')] ).
cnf(405,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[246,20,129]),9]),
[iquote('hyper,246,20,129,unit_del,9')] ).
cnf(415,plain,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[405,4,203])]),
[iquote('hyper,405,4,203,factor_simp')] ).
cnf(423,plain,
( product(e_1,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[405,18,182]),16]),
[iquote('hyper,405,18,182,unit_del,16')] ).
cnf(434,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[415,18,182]),16]),
[iquote('hyper,415,18,182,unit_del,16')] ).
cnf(481,plain,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[423,4,230])]),
[iquote('hyper,423,4,230,factor_simp')] ).
cnf(569,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[253,20,129]),10]),
[iquote('hyper,253,20,129,unit_del,10')] ).
cnf(577,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[569,19,481]),16]),
[iquote('hyper,569,19,481,unit_del,16')] ).
cnf(626,plain,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[577,18,203]),13]),
[iquote('hyper,577,18,203,unit_del,13')] ).
cnf(709,plain,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[263,18,129]),8]),
[iquote('hyper,263,18,129,unit_del,8')] ).
cnf(840,plain,
( product(e_4,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[709,18,626]),14]),
[iquote('hyper,709,18,626,unit_del,14')] ).
cnf(868,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[709,18,434]),11]),
[iquote('hyper,709,18,434,unit_del,11')] ).
cnf(884,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_4,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[840,4,155])]),
[iquote('hyper,840,4,155,factor_simp')] ).
cnf(1118,plain,
product(e_2,e_1,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[884,19,108]),7]),
[iquote('hyper,884,19,108,unit_del,7')] ).
cnf(1159,plain,
product(e_3,e_2,e_1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1118,18,868]),16]),
[iquote('hyper,1118,18,868,unit_del,16')] ).
cnf(1165,plain,
product(e_1,e_3,e_1),
inference(hyper,[status(thm)],[1159,4,1118]),
[iquote('hyper,1159,4,1118')] ).
cnf(1201,plain,
e_qualish(e_1,e_3),
inference(hyper,[status(thm)],[1165,19,108]),
[iquote('hyper,1165,19,108')] ).
cnf(1202,plain,
$false,
inference(binary,[status(thm)],[1201,6]),
[iquote('binary,1201.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP129-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n024.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 05:01:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.94/2.13 ----- Otter 3.3f, August 2004 -----
% 1.94/2.13 The process was started by sandbox on n024.cluster.edu,
% 1.94/2.13 Wed Jul 27 05:01:55 2022
% 1.94/2.13 The command was "./otter". The process ID is 12279.
% 1.94/2.13
% 1.94/2.13 set(prolog_style_variables).
% 1.94/2.13 set(auto).
% 1.94/2.13 dependent: set(auto1).
% 1.94/2.13 dependent: set(process_input).
% 1.94/2.13 dependent: clear(print_kept).
% 1.94/2.13 dependent: clear(print_new_demod).
% 1.94/2.13 dependent: clear(print_back_demod).
% 1.94/2.13 dependent: clear(print_back_sub).
% 1.94/2.13 dependent: set(control_memory).
% 1.94/2.13 dependent: assign(max_mem, 12000).
% 1.94/2.13 dependent: assign(pick_given_ratio, 4).
% 1.94/2.13 dependent: assign(stats_level, 1).
% 1.94/2.13 dependent: assign(max_seconds, 10800).
% 1.94/2.13 clear(print_given).
% 1.94/2.13
% 1.94/2.13 list(usable).
% 1.94/2.13 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).
% 1.94/2.13 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).
% 1.94/2.13 0 [] product(Y,X,Z1)| -product(Z1,Y,Z2)| -product(X,Z1,Z2).
% 1.94/2.13 0 [] product(X,Z1,Z2)| -product(Z1,Y,Z2)| -product(Y,X,Z1).
% 1.94/2.13 0 [] group_element(e_1).
% 1.94/2.13 0 [] group_element(e_2).
% 1.94/2.13 0 [] group_element(e_3).
% 1.94/2.13 0 [] group_element(e_4).
% 1.94/2.13 0 [] -e_qualish(e_1,e_2).
% 1.94/2.13 0 [] -e_qualish(e_1,e_3).
% 1.94/2.13 0 [] -e_qualish(e_1,e_4).
% 1.94/2.13 0 [] -e_qualish(e_2,e_1).
% 1.94/2.13 0 [] -e_qualish(e_2,e_3).
% 1.94/2.13 0 [] -e_qualish(e_2,e_4).
% 1.94/2.13 0 [] -e_qualish(e_3,e_1).
% 1.94/2.13 0 [] -e_qualish(e_3,e_2).
% 1.94/2.13 0 [] -e_qualish(e_3,e_4).
% 1.94/2.13 0 [] -e_qualish(e_4,e_1).
% 1.94/2.13 0 [] -e_qualish(e_4,e_2).
% 1.94/2.13 0 [] -e_qualish(e_4,e_3).
% 1.94/2.13 0 [] -group_element(X)| -group_element(Y)|product(X,Y,e_1)|product(X,Y,e_2)|product(X,Y,e_3)|product(X,Y,e_4).
% 1.94/2.13 0 [] -product(X,Y,W)| -product(X,Y,Z)|e_qualish(W,Z).
% 1.94/2.13 0 [] -product(X,W,Y)| -product(X,Z,Y)|e_qualish(W,Z).
% 1.94/2.13 0 [] -product(W,Y,X)| -product(Z,Y,X)|e_qualish(W,Z).
% 1.94/2.13 0 [] -product(Y,X,Z1)| -product(X,Z1,Z2)|product(Z1,Y,Z2).
% 1.94/2.13 end_of_list.
% 1.94/2.13
% 1.94/2.13 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.94/2.13
% 1.94/2.13 This is a non-Horn set without equality. The strategy will
% 1.94/2.13 be ordered hyper_res, unit deletion, and factoring, with
% 1.94/2.13 satellites in sos and with nuclei in usable.
% 1.94/2.13
% 1.94/2.13 dependent: set(hyper_res).
% 1.94/2.13 dependent: set(factor).
% 1.94/2.13 dependent: set(unit_deletion).
% 1.94/2.13
% 1.94/2.13 ------------> process usable:
% 1.94/2.13 ** 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).
% 1.94/2.13 ** 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).
% 1.94/2.13 ** KEPT (pick-wt=12): 3 [] product(A,B,C)| -product(C,A,D)| -product(B,C,D).
% 1.94/2.13 ** KEPT (pick-wt=12): 4 [] product(A,B,C)| -product(B,D,C)| -product(D,A,B).
% 1.94/2.13 ** KEPT (pick-wt=3): 5 [] -e_qualish(e_1,e_2).
% 1.94/2.13 ** KEPT (pick-wt=3): 6 [] -e_qualish(e_1,e_3).
% 1.94/2.13 ** KEPT (pick-wt=3): 7 [] -e_qualish(e_1,e_4).
% 1.94/2.13 ** KEPT (pick-wt=3): 8 [] -e_qualish(e_2,e_1).
% 1.94/2.13 ** KEPT (pick-wt=3): 9 [] -e_qualish(e_2,e_3).
% 1.94/2.13 ** KEPT (pick-wt=3): 10 [] -e_qualish(e_2,e_4).
% 1.94/2.13 ** KEPT (pick-wt=3): 11 [] -e_qualish(e_3,e_1).
% 1.94/2.13 ** KEPT (pick-wt=3): 12 [] -e_qualish(e_3,e_2).
% 1.94/2.13 ** KEPT (pick-wt=3): 13 [] -e_qualish(e_3,e_4).
% 1.94/2.13 ** KEPT (pick-wt=3): 14 [] -e_qualish(e_4,e_1).
% 1.94/2.13 ** KEPT (pick-wt=3): 15 [] -e_qualish(e_4,e_2).
% 1.94/2.13 ** KEPT (pick-wt=3): 16 [] -e_qualish(e_4,e_3).
% 1.94/2.13 ** KEPT (pick-wt=20): 17 [] -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)|product(A,B,e_4).
% 1.94/2.13 ** KEPT (pick-wt=11): 18 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 1.94/2.13 ** KEPT (pick-wt=11): 19 [] -product(A,B,C)| -product(A,D,C)|e_qualish(B,D).
% 1.94/2.13 ** KEPT (pick-wt=11): 20 [] -product(A,B,C)| -product(D,B,C)|e_qualish(A,D).
% 1.94/2.13 ** KEPT (pick-wt=12): 21 [] -product(A,B,C)| -product(B,C,D)|product(C,A,D).
% 1.94/2.13
% 1.94/2.13 ------------> process sos:
% 1.94/2.13 ** KEPT (pick-wt=2): 29 [] group_element(e_1).
% 1.94/2.13 ** KEPT (pick-wt=2): 30 [] group_element(e_2).
% 1.94/2.13 ** KEPT (pick-wt=2): 31 [] group_element(e_3).
% 1.94/2.13 ** KEPT (pick-wt=2): 32 [] group_element(e_4).
% 1.94/2.13
% 1.94/2.13 ======= end of input processing =======
% 1.94/2.13
% 1.94/2.13 =========== start of search ===========
% 1.94/2.13
% 1.94/2.13 -------- PROOF --------
% 1.94/2.13
% 1.94/2.13 ----> UNIT CONFLICT at 0.19 sec ----> 1202 [binary,1201.1,6.1] $F.
% 1.94/2.13
% 1.94/2.13 Length of proof is 43. Level of proof is 21.
% 1.94/2.13
% 1.94/2.13 ---------------- PROOF ----------------
% 1.94/2.13 % SZS status Unsatisfiable
% 1.94/2.13 % SZS output start Refutation
% See solution above
% 1.94/2.13 ------------ end of proof -------------
% 1.94/2.13
% 1.94/2.13
% 1.94/2.13 Search stopped by max_proofs option.
% 1.94/2.13
% 1.94/2.13
% 1.94/2.13 Search stopped by max_proofs option.
% 1.94/2.13
% 1.94/2.13 ============ end of search ============
% 1.94/2.13
% 1.94/2.13 -------------- statistics -------------
% 1.94/2.13 clauses given 107
% 1.94/2.13 clauses generated 7272
% 1.94/2.13 clauses kept 1201
% 1.94/2.13 clauses forward subsumed 6094
% 1.94/2.13 clauses back subsumed 1035
% 1.94/2.13 Kbytes malloced 976
% 1.94/2.13
% 1.94/2.13 ----------- times (seconds) -----------
% 1.94/2.13 user CPU time 0.19 (0 hr, 0 min, 0 sec)
% 1.94/2.13 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.13 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.94/2.13
% 1.94/2.13 That finishes the proof of the theorem.
% 1.94/2.13
% 1.94/2.13 Process 12279 finished Wed Jul 27 05:01:57 2022
% 1.94/2.13 Otter interrupted
% 1.94/2.13 PROOF FOUND
%------------------------------------------------------------------------------