TSTP Solution File: SYN090-1.008 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:23:33 EDT 2022
% Result : Unsatisfiable 1.77s 1.94s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 31
% Syntax : Number of clauses : 86 ( 31 unt; 0 nHn; 86 RR)
% Number of literals : 195 ( 0 equ; 110 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 31 ( 30 usr; 31 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p_0
| ~ q_0 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(4,axiom,
( p_0
| ~ q_1
| ~ q_2 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(5,plain,
( ~ q_1
| ~ q_2
| p_0 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[4])]),
[iquote('copy,4,propositional')] ).
cnf(12,axiom,
( p_2
| ~ q_3
| ~ q_4 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(13,plain,
( ~ q_3
| ~ q_4
| p_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[12])]),
[iquote('copy,12,propositional')] ).
cnf(16,axiom,
( p_3
| ~ q_4
| ~ q_5 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(17,plain,
( ~ q_4
| ~ q_5
| p_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[16])]),
[iquote('copy,16,propositional')] ).
cnf(20,axiom,
( p_4
| ~ q_5
| ~ q_6 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(21,plain,
( ~ q_5
| ~ q_6
| p_4 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[20])]),
[iquote('copy,20,propositional')] ).
cnf(24,axiom,
( p_5
| ~ q_6
| ~ q_7 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(25,plain,
( ~ q_6
| ~ q_7
| p_5 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[24])]),
[iquote('copy,24,propositional')] ).
cnf(28,axiom,
( p_6
| ~ q_7
| ~ q_8 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(29,plain,
( ~ q_7
| ~ q_8
| p_6 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[28])]),
[iquote('copy,28,propositional')] ).
cnf(32,axiom,
( p_7
| ~ q_8
| ~ q_9 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(33,plain,
( ~ q_8
| ~ q_9
| p_7 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[32])]),
[iquote('copy,32,propositional')] ).
cnf(36,axiom,
( p_8
| ~ q_9
| ~ q_10 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(37,plain,
( ~ q_9
| ~ q_10
| p_8 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[36])]),
[iquote('copy,36,propositional')] ).
cnf(40,axiom,
( p_9
| ~ q_10
| ~ q_11 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(41,plain,
( ~ q_10
| ~ q_11
| p_9 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[40])]),
[iquote('copy,40,propositional')] ).
cnf(44,axiom,
( p_10
| ~ q_11
| ~ q_12 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(45,plain,
( ~ q_11
| ~ q_12
| p_10 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[44])]),
[iquote('copy,44,propositional')] ).
cnf(48,axiom,
( p_11
| ~ q_12
| ~ q_13 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(49,plain,
( ~ q_12
| ~ q_13
| p_11 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[48])]),
[iquote('copy,48,propositional')] ).
cnf(50,axiom,
( p_12
| ~ p_13
| ~ p_14 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(51,plain,
( ~ p_13
| ~ p_14
| p_12 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[50])]),
[iquote('copy,50,propositional')] ).
cnf(54,axiom,
( p_13
| ~ p_14
| ~ p_15 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(55,plain,
( ~ p_14
| ~ p_15
| p_13 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[54])]),
[iquote('copy,54,propositional')] ).
cnf(60,axiom,
( q_0
| ~ q_1
| ~ p_2 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(61,plain,
( ~ p_2
| ~ q_1
| q_0 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[60])]),
[iquote('copy,60,propositional')] ).
cnf(64,axiom,
( q_1
| ~ q_2
| ~ p_3 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(65,plain,
( ~ q_2
| ~ p_3
| q_1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[64])]),
[iquote('copy,64,propositional')] ).
cnf(68,axiom,
( q_2
| ~ q_3
| ~ p_4 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(69,plain,
( ~ q_3
| ~ p_4
| q_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[68])]),
[iquote('copy,68,propositional')] ).
cnf(72,axiom,
( q_3
| ~ q_4
| ~ p_5 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(73,plain,
( ~ q_4
| ~ p_5
| q_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[72])]),
[iquote('copy,72,propositional')] ).
cnf(76,axiom,
( q_4
| ~ q_5
| ~ p_6 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(77,plain,
( ~ q_5
| ~ p_6
| q_4 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[76])]),
[iquote('copy,76,propositional')] ).
cnf(80,axiom,
( q_5
| ~ q_6
| ~ p_7 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(81,plain,
( ~ q_6
| ~ p_7
| q_5 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[80])]),
[iquote('copy,80,propositional')] ).
cnf(84,axiom,
( q_6
| ~ q_7
| ~ p_8 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(85,plain,
( ~ q_7
| ~ p_8
| q_6 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[84])]),
[iquote('copy,84,propositional')] ).
cnf(88,axiom,
( q_7
| ~ q_8
| ~ p_9 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(89,plain,
( ~ q_8
| ~ p_9
| q_7 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[88])]),
[iquote('copy,88,propositional')] ).
cnf(92,axiom,
( q_8
| ~ q_9
| ~ p_10 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(93,plain,
( ~ q_9
| ~ p_10
| q_8 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[92])]),
[iquote('copy,92,propositional')] ).
cnf(96,axiom,
( q_9
| ~ q_10
| ~ p_11 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(97,plain,
( ~ q_10
| ~ p_11
| q_9 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[96])]),
[iquote('copy,96,propositional')] ).
cnf(100,axiom,
( q_10
| ~ q_11
| ~ p_12 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(101,plain,
( ~ q_11
| ~ p_12
| q_10 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[100])]),
[iquote('copy,100,propositional')] ).
cnf(104,axiom,
( q_11
| ~ q_12
| ~ p_13 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(105,plain,
( ~ q_12
| ~ p_13
| q_11 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[104])]),
[iquote('copy,104,propositional')] ).
cnf(106,axiom,
( q_12
| ~ p_13
| ~ q_14 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(107,plain,
( ~ p_13
| ~ q_14
| q_12 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[106])]),
[iquote('copy,106,propositional')] ).
cnf(112,axiom,
( q_13
| ~ q_14
| ~ p_15 ),
file('SYN090-1.008.p',unknown),
[] ).
cnf(113,plain,
( ~ q_14
| ~ p_15
| q_13 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[112])]),
[iquote('copy,112,propositional')] ).
cnf(118,axiom,
p_14,
file('SYN090-1.008.p',unknown),
[] ).
cnf(119,axiom,
p_15,
file('SYN090-1.008.p',unknown),
[] ).
cnf(120,axiom,
q_14,
file('SYN090-1.008.p',unknown),
[] ).
cnf(122,plain,
p_13,
inference(hyper,[status(thm)],[119,55,118]),
[iquote('hyper,119,55,118')] ).
cnf(123,plain,
q_13,
inference(hyper,[status(thm)],[120,113,119]),
[iquote('hyper,120,113,119')] ).
cnf(124,plain,
q_12,
inference(hyper,[status(thm)],[122,107,120]),
[iquote('hyper,122,107,120')] ).
cnf(125,plain,
p_12,
inference(hyper,[status(thm)],[122,51,118]),
[iquote('hyper,122,51,118')] ).
cnf(126,plain,
q_11,
inference(hyper,[status(thm)],[124,105,122]),
[iquote('hyper,124,105,122')] ).
cnf(127,plain,
p_11,
inference(hyper,[status(thm)],[124,49,123]),
[iquote('hyper,124,49,123')] ).
cnf(128,plain,
q_10,
inference(hyper,[status(thm)],[126,101,125]),
[iquote('hyper,126,101,125')] ).
cnf(129,plain,
p_10,
inference(hyper,[status(thm)],[126,45,124]),
[iquote('hyper,126,45,124')] ).
cnf(130,plain,
q_9,
inference(hyper,[status(thm)],[128,97,127]),
[iquote('hyper,128,97,127')] ).
cnf(131,plain,
p_9,
inference(hyper,[status(thm)],[128,41,126]),
[iquote('hyper,128,41,126')] ).
cnf(132,plain,
q_8,
inference(hyper,[status(thm)],[130,93,129]),
[iquote('hyper,130,93,129')] ).
cnf(133,plain,
p_8,
inference(hyper,[status(thm)],[130,37,128]),
[iquote('hyper,130,37,128')] ).
cnf(135,plain,
q_7,
inference(hyper,[status(thm)],[132,89,131]),
[iquote('hyper,132,89,131')] ).
cnf(136,plain,
p_7,
inference(hyper,[status(thm)],[132,33,130]),
[iquote('hyper,132,33,130')] ).
cnf(138,plain,
q_6,
inference(hyper,[status(thm)],[135,85,133]),
[iquote('hyper,135,85,133')] ).
cnf(139,plain,
p_6,
inference(hyper,[status(thm)],[135,29,132]),
[iquote('hyper,135,29,132')] ).
cnf(140,plain,
q_5,
inference(hyper,[status(thm)],[138,81,136]),
[iquote('hyper,138,81,136')] ).
cnf(141,plain,
p_5,
inference(hyper,[status(thm)],[138,25,135]),
[iquote('hyper,138,25,135')] ).
cnf(142,plain,
q_4,
inference(hyper,[status(thm)],[140,77,139]),
[iquote('hyper,140,77,139')] ).
cnf(143,plain,
p_4,
inference(hyper,[status(thm)],[140,21,138]),
[iquote('hyper,140,21,138')] ).
cnf(144,plain,
q_3,
inference(hyper,[status(thm)],[142,73,141]),
[iquote('hyper,142,73,141')] ).
cnf(145,plain,
p_3,
inference(hyper,[status(thm)],[142,17,140]),
[iquote('hyper,142,17,140')] ).
cnf(146,plain,
q_2,
inference(hyper,[status(thm)],[144,69,143]),
[iquote('hyper,144,69,143')] ).
cnf(147,plain,
p_2,
inference(hyper,[status(thm)],[144,13,142]),
[iquote('hyper,144,13,142')] ).
cnf(148,plain,
q_1,
inference(hyper,[status(thm)],[146,65,145]),
[iquote('hyper,146,65,145')] ).
cnf(150,plain,
q_0,
inference(hyper,[status(thm)],[148,61,147]),
[iquote('hyper,148,61,147')] ).
cnf(151,plain,
p_0,
inference(hyper,[status(thm)],[148,5,146]),
[iquote('hyper,148,5,146')] ).
cnf(152,plain,
$false,
inference(hyper,[status(thm)],[151,1,150]),
[iquote('hyper,151,1,150')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 10:48:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.77/1.94 ----- Otter 3.3f, August 2004 -----
% 1.77/1.94 The process was started by sandbox2 on n007.cluster.edu,
% 1.77/1.94 Wed Jul 27 10:48:16 2022
% 1.77/1.94 The command was "./otter". The process ID is 30675.
% 1.77/1.94
% 1.77/1.94 set(prolog_style_variables).
% 1.77/1.94 set(auto).
% 1.77/1.94 dependent: set(auto1).
% 1.77/1.94 dependent: set(process_input).
% 1.77/1.94 dependent: clear(print_kept).
% 1.77/1.94 dependent: clear(print_new_demod).
% 1.77/1.94 dependent: clear(print_back_demod).
% 1.77/1.94 dependent: clear(print_back_sub).
% 1.77/1.94 dependent: set(control_memory).
% 1.77/1.94 dependent: assign(max_mem, 12000).
% 1.77/1.94 dependent: assign(pick_given_ratio, 4).
% 1.77/1.94 dependent: assign(stats_level, 1).
% 1.77/1.94 dependent: assign(max_seconds, 10800).
% 1.77/1.94 clear(print_given).
% 1.77/1.94
% 1.77/1.94 list(usable).
% 1.77/1.94 0 [] -p_0| -q_0.
% 1.77/1.94 0 [] p_0| -p_1| -p_2.
% 1.77/1.94 0 [] p_0| -q_1| -q_2.
% 1.77/1.94 0 [] p_1| -p_2| -p_3.
% 1.77/1.94 0 [] p_1| -q_2| -q_3.
% 1.77/1.94 0 [] p_2| -p_3| -p_4.
% 1.77/1.94 0 [] p_2| -q_3| -q_4.
% 1.77/1.94 0 [] p_3| -p_4| -p_5.
% 1.77/1.94 0 [] p_3| -q_4| -q_5.
% 1.77/1.94 0 [] p_4| -p_5| -p_6.
% 1.77/1.94 0 [] p_4| -q_5| -q_6.
% 1.77/1.94 0 [] p_5| -p_6| -p_7.
% 1.77/1.94 0 [] p_5| -q_6| -q_7.
% 1.77/1.94 0 [] p_6| -p_7| -p_8.
% 1.77/1.94 0 [] p_6| -q_7| -q_8.
% 1.77/1.94 0 [] p_7| -p_8| -p_9.
% 1.77/1.94 0 [] p_7| -q_8| -q_9.
% 1.77/1.94 0 [] p_8| -p_9| -p_10.
% 1.77/1.94 0 [] p_8| -q_9| -q_10.
% 1.77/1.94 0 [] p_9| -p_10| -p_11.
% 1.77/1.94 0 [] p_9| -q_10| -q_11.
% 1.77/1.94 0 [] p_10| -p_11| -p_12.
% 1.77/1.94 0 [] p_10| -q_11| -q_12.
% 1.77/1.94 0 [] p_11| -p_12| -p_13.
% 1.77/1.94 0 [] p_11| -q_12| -q_13.
% 1.77/1.94 0 [] p_12| -p_13| -p_14.
% 1.77/1.94 0 [] p_12| -q_13| -q_14.
% 1.77/1.94 0 [] p_13| -p_14| -p_15.
% 1.77/1.94 0 [] p_13| -q_14| -q_15.
% 1.77/1.94 0 [] q_0| -p_1| -q_2.
% 1.77/1.94 0 [] q_0| -q_1| -p_2.
% 1.77/1.94 0 [] q_1| -p_2| -q_3.
% 1.77/1.94 0 [] q_1| -q_2| -p_3.
% 1.77/1.94 0 [] q_2| -p_3| -q_4.
% 1.77/1.94 0 [] q_2| -q_3| -p_4.
% 1.77/1.94 0 [] q_3| -p_4| -q_5.
% 1.77/1.94 0 [] q_3| -q_4| -p_5.
% 1.77/1.94 0 [] q_4| -p_5| -q_6.
% 1.77/1.94 0 [] q_4| -q_5| -p_6.
% 1.77/1.94 0 [] q_5| -p_6| -q_7.
% 1.77/1.94 0 [] q_5| -q_6| -p_7.
% 1.77/1.94 0 [] q_6| -p_7| -q_8.
% 1.77/1.94 0 [] q_6| -q_7| -p_8.
% 1.77/1.94 0 [] q_7| -p_8| -q_9.
% 1.77/1.94 0 [] q_7| -q_8| -p_9.
% 1.77/1.94 0 [] q_8| -p_9| -q_10.
% 1.77/1.94 0 [] q_8| -q_9| -p_10.
% 1.77/1.94 0 [] q_9| -p_10| -q_11.
% 1.77/1.94 0 [] q_9| -q_10| -p_11.
% 1.77/1.94 0 [] q_10| -p_11| -q_12.
% 1.77/1.94 0 [] q_10| -q_11| -p_12.
% 1.77/1.94 0 [] q_11| -p_12| -q_13.
% 1.77/1.94 0 [] q_11| -q_12| -p_13.
% 1.77/1.94 0 [] q_12| -p_13| -q_14.
% 1.77/1.94 0 [] q_12| -q_13| -p_14.
% 1.77/1.94 0 [] q_13| -p_14| -q_15.
% 1.77/1.94 0 [] q_13| -q_14| -p_15.
% 1.77/1.94 0 [] p_15| -p_7.
% 1.77/1.94 0 [] p_16| -p_8.
% 1.77/1.94 0 [] q_15| -q_7.
% 1.77/1.94 0 [] q_16| -q_8.
% 1.77/1.94 0 [] p_14.
% 1.77/1.94 0 [] p_15.
% 1.77/1.94 0 [] q_14.
% 1.77/1.94 0 [] q_15.
% 1.77/1.94 end_of_list.
% 1.77/1.94
% 1.77/1.94 SCAN INPUT: prop=1, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.77/1.94
% 1.77/1.94 The clause set is propositional; the strategy will be
% 1.77/1.94 ordered hyperresolution with the propositional
% 1.77/1.94 optimizations, with satellites in sos and nuclei in usable.
% 1.77/1.94
% 1.77/1.94 dependent: set(hyper_res).
% 1.77/1.94 dependent: set(propositional).
% 1.77/1.94 dependent: set(sort_literals).
% 1.77/1.94
% 1.77/1.94 ------------> process usable:
% 1.77/1.94 ** KEPT (pick-wt=2): 1 [] -p_0| -q_0.
% 1.77/1.94 ** KEPT (pick-wt=3): 3 [copy,2,propositional] -p_1| -p_2|p_0.
% 1.77/1.94 ** KEPT (pick-wt=3): 5 [copy,4,propositional] -q_1| -q_2|p_0.
% 1.77/1.94 ** KEPT (pick-wt=3): 7 [copy,6,propositional] -p_2| -p_3|p_1.
% 1.77/1.94 ** KEPT (pick-wt=3): 9 [copy,8,propositional] -q_2| -q_3|p_1.
% 1.77/1.94 ** KEPT (pick-wt=3): 11 [copy,10,propositional] -p_3| -p_4|p_2.
% 1.77/1.94 ** KEPT (pick-wt=3): 13 [copy,12,propositional] -q_3| -q_4|p_2.
% 1.77/1.94 ** KEPT (pick-wt=3): 15 [copy,14,propositional] -p_4| -p_5|p_3.
% 1.77/1.94 ** KEPT (pick-wt=3): 17 [copy,16,propositional] -q_4| -q_5|p_3.
% 1.77/1.94 ** KEPT (pick-wt=3): 19 [copy,18,propositional] -p_5| -p_6|p_4.
% 1.77/1.94 ** KEPT (pick-wt=3): 21 [copy,20,propositional] -q_5| -q_6|p_4.
% 1.77/1.94 ** KEPT (pick-wt=3): 23 [copy,22,propositional] -p_6| -p_7|p_5.
% 1.77/1.94 ** KEPT (pick-wt=3): 25 [copy,24,propositional] -q_6| -q_7|p_5.
% 1.77/1.94 ** KEPT (pick-wt=3): 27 [copy,26,propositional] -p_7| -p_8|p_6.
% 1.77/1.94 ** KEPT (pick-wt=3): 29 [copy,28,propositional] -q_7| -q_8|p_6.
% 1.77/1.94 ** KEPT (pick-wt=3): 31 [copy,30,propositional] -p_8| -p_9|p_7.
% 1.77/1.94 ** KEPT (pick-wt=3): 33 [copy,32,propositional] -q_8| -q_9|p_7.
% 1.77/1.94 ** KEPT (pick-wt=3): 35 [copy,34,propositional] -p_9| -p_10|p_8.
% 1.77/1.94 ** KEPT (pick-wt=3): 37 [copy,36,propositional] -q_9| -q_10|p_8.
% 1.77/1.94 ** KEPT (pick-wt=3): 39 [copy,38,propositional] -p_10| -p_11|p_9.
% 1.77/1.94 ** KEPT (pick-wt=3): 41 [copy,40,propositional] -q_10| -q_11|p_9.
% 1.77/1.94 ** KEPT (pick-wt=3): 43 [copy,42,propositional] -p_11| -p_12|p_10.
% 1.77/1.94 ** KEPT (pick-wt=3): 45 [copy,44,propositional] -q_11| -q_12|p_10.
% 1.77/1.94 ** KEPT (pick-wt=3): 47 [copy,46,propositional] -p_12| -p_13|p_11.
% 1.77/1.94 ** KEPT (pick-wt=3): 49 [copy,48,propositional] -q_12| -q_13|p_11.
% 1.77/1.94 ** KEPT (pick-wt=3): 51 [copy,50,propositional] -p_13| -p_14|p_12.
% 1.77/1.94 ** KEPT (pick-wt=3): 53 [copy,52,propositional] -q_13| -q_14|p_12.
% 1.77/1.94 ** KEPT (pick-wt=3): 55 [copy,54,propositional] -p_14| -p_15|p_13.
% 1.77/1.94 ** KEPT (pick-wt=3): 57 [copy,56,propositional] -q_14| -q_15|p_13.
% 1.77/1.94 ** KEPT (pick-wt=3): 59 [copy,58,propositional] -p_1| -q_2|q_0.
% 1.77/1.94 ** KEPT (pick-wt=3): 61 [copy,60,propositional] -p_2| -q_1|q_0.
% 1.77/1.94 ** KEPT (pick-wt=3): 63 [copy,62,propositional] -p_2| -q_3|q_1.
% 1.77/1.94 ** KEPT (pick-wt=3): 65 [copy,64,propositional] -q_2| -p_3|q_1.
% 1.77/1.94 ** KEPT (pick-wt=3): 67 [copy,66,propositional] -p_3| -q_4|q_2.
% 1.77/1.94 ** KEPT (pick-wt=3): 69 [copy,68,propositional] -q_3| -p_4|q_2.
% 1.77/1.94 ** KEPT (pick-wt=3): 71 [copy,70,propositional] -p_4| -q_5|q_3.
% 1.77/1.94 ** KEPT (pick-wt=3): 73 [copy,72,propositional] -q_4| -p_5|q_3.
% 1.77/1.94 ** KEPT (pick-wt=3): 75 [copy,74,propositional] -p_5| -q_6|q_4.
% 1.77/1.94 ** KEPT (pick-wt=3): 77 [copy,76,propositional] -q_5| -p_6|q_4.
% 1.77/1.94 ** KEPT (pick-wt=3): 79 [copy,78,propositional] -p_6| -q_7|q_5.
% 1.77/1.94 ** KEPT (pick-wt=3): 81 [copy,80,propositional] -q_6| -p_7|q_5.
% 1.77/1.94 ** KEPT (pick-wt=3): 83 [copy,82,propositional] -p_7| -q_8|q_6.
% 1.77/1.94 ** KEPT (pick-wt=3): 85 [copy,84,propositional] -q_7| -p_8|q_6.
% 1.77/1.94 ** KEPT (pick-wt=3): 87 [copy,86,propositional] -p_8| -q_9|q_7.
% 1.77/1.94 ** KEPT (pick-wt=3): 89 [copy,88,propositional] -q_8| -p_9|q_7.
% 1.77/1.94 ** KEPT (pick-wt=3): 91 [copy,90,propositional] -p_9| -q_10|q_8.
% 1.77/1.94 ** KEPT (pick-wt=3): 93 [copy,92,propositional] -q_9| -p_10|q_8.
% 1.77/1.94 ** KEPT (pick-wt=3): 95 [copy,94,propositional] -p_10| -q_11|q_9.
% 1.77/1.94 ** KEPT (pick-wt=3): 97 [copy,96,propositional] -q_10| -p_11|q_9.
% 1.77/1.94 ** KEPT (pick-wt=3): 99 [copy,98,propositional] -p_11| -q_12|q_10.
% 1.77/1.94 ** KEPT (pick-wt=3): 101 [copy,100,propositional] -q_11| -p_12|q_10.
% 1.77/1.94 ** KEPT (pick-wt=3): 103 [copy,102,propositional] -p_12| -q_13|q_11.
% 1.77/1.94 ** KEPT (pick-wt=3): 105 [copy,104,propositional] -q_12| -p_13|q_11.
% 1.77/1.94 ** KEPT (pick-wt=3): 107 [copy,106,propositional] -p_13| -q_14|q_12.
% 1.77/1.94 ** KEPT (pick-wt=3): 109 [copy,108,propositional] -q_13| -p_14|q_12.
% 1.77/1.94 ** KEPT (pick-wt=3): 111 [copy,110,propositional] -p_14| -q_15|q_13.
% 1.77/1.94 ** KEPT (pick-wt=3): 113 [copy,112,propositional] -q_14| -p_15|q_13.
% 1.77/1.94 Following clause subsumed by 0 during input processing: 0 [propositional] -p_7|p_15.
% 1.77/1.94 ** KEPT (pick-wt=2): 115 [copy,114,propositional] -p_8|p_16.
% 1.77/1.94 Following clause subsumed by 0 during input processing: 0 [propositional] -q_7|q_15.
% 1.77/1.94 ** KEPT (pick-wt=2): 117 [copy,116,propositional] -q_8|q_16.
% 1.77/1.94
% 1.77/1.94 ------------> process sos:
% 1.77/1.94 ** KEPT (pick-wt=1): 118 [] p_14.
% 1.77/1.94 ** KEPT (pick-wt=1): 119 [] p_15.
% 1.77/1.94 ** KEPT (pick-wt=1): 120 [] q_14.
% 1.77/1.94 ** KEPT (pick-wt=1): 121 [] q_15.
% 1.77/1.94
% 1.77/1.94 ======= end of input processing =======
% 1.77/1.94
% 1.77/1.94 =========== start of search ===========
% 1.77/1.94
% 1.77/1.94 -------- PROOF --------
% 1.77/1.94
% 1.77/1.94 -----> EMPTY CLAUSE at 0.00 sec ----> 152 [hyper,151,1,150] $F.
% 1.77/1.94
% 1.77/1.94 Length of proof is 54. Level of proof is 15.
% 1.77/1.94
% 1.77/1.94 ---------------- PROOF ----------------
% 1.77/1.94 % SZS status Unsatisfiable
% 1.77/1.94 % SZS output start Refutation
% See solution above
% 1.77/1.94 ------------ end of proof -------------
% 1.77/1.94
% 1.77/1.94
% 1.77/1.94 Search stopped by max_proofs option.
% 1.77/1.94
% 1.77/1.94
% 1.77/1.94 Search stopped by max_proofs option.
% 1.77/1.94
% 1.77/1.94 ============ end of search ============
% 1.77/1.94
% 1.77/1.94 -------------- statistics -------------
% 1.77/1.94 clauses given 34
% 1.77/1.94 clauses generated 31
% 1.77/1.94 clauses kept 93
% 1.77/1.94 clauses forward subsumed 2
% 1.77/1.94 clauses back subsumed 58
% 1.77/1.94 Kbytes malloced 976
% 1.77/1.94
% 1.77/1.94 ----------- times (seconds) -----------
% 1.77/1.94 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.94 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.77/1.94
% 1.77/1.94 That finishes the proof of the theorem.
% 1.77/1.94
% 1.77/1.94 Process 30675 finished Wed Jul 27 10:48:17 2022
% 1.77/1.94 Otter interrupted
% 1.77/1.94 PROOF FOUND
%------------------------------------------------------------------------------