TSTP Solution File: SYN010-1.005.005 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% 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 13:23:18 EDT 2022
% Result : Unsatisfiable 1.79s 1.98s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of clauses : 70 ( 28 unt; 0 nHn; 70 RR)
% Number of literals : 280 ( 0 equ; 211 neg)
% Maximal clause size : 6 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 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,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(2,axiom,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(3,plain,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5
| p_0 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,propositional')] ).
cnf(4,axiom,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(5,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[4])]),
[iquote('copy,4,propositional')] ).
cnf(6,axiom,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(7,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[6])]),
[iquote('copy,6,propositional')] ).
cnf(8,axiom,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(9,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[8])]),
[iquote('copy,8,propositional')] ).
cnf(10,axiom,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(11,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_4 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[10])]),
[iquote('copy,10,propositional')] ).
cnf(12,axiom,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(13,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_5 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[12])]),
[iquote('copy,12,propositional')] ).
cnf(14,axiom,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(15,plain,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[14])]),
[iquote('copy,14,propositional')] ).
cnf(16,axiom,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(17,plain,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[16])]),
[iquote('copy,16,propositional')] ).
cnf(18,axiom,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(19,plain,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[18])]),
[iquote('copy,18,propositional')] ).
cnf(20,axiom,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(21,plain,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_4 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[20])]),
[iquote('copy,20,propositional')] ).
cnf(22,axiom,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(23,plain,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_5 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[22])]),
[iquote('copy,22,propositional')] ).
cnf(24,axiom,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(25,plain,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[24])]),
[iquote('copy,24,propositional')] ).
cnf(26,axiom,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(27,plain,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[26])]),
[iquote('copy,26,propositional')] ).
cnf(28,axiom,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(29,plain,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[28])]),
[iquote('copy,28,propositional')] ).
cnf(30,axiom,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(31,plain,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_4 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[30])]),
[iquote('copy,30,propositional')] ).
cnf(32,axiom,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(33,plain,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_5 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[32])]),
[iquote('copy,32,propositional')] ).
cnf(34,axiom,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(35,plain,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[34])]),
[iquote('copy,34,propositional')] ).
cnf(36,axiom,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(37,plain,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[36])]),
[iquote('copy,36,propositional')] ).
cnf(38,axiom,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(39,plain,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[38])]),
[iquote('copy,38,propositional')] ).
cnf(40,axiom,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(41,plain,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_4 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[40])]),
[iquote('copy,40,propositional')] ).
cnf(42,axiom,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(43,plain,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_5 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[42])]),
[iquote('copy,42,propositional')] ).
cnf(44,axiom,
p_5_1,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(45,axiom,
p_5_2,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(46,axiom,
p_5_3,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(47,axiom,
p_5_4,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(48,axiom,
p_5_5,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(49,plain,
p_4_5,
inference(hyper,[status(thm)],[48,43,44,45,46,47]),
[iquote('hyper,48,43,44,45,46,47')] ).
cnf(50,plain,
p_4_4,
inference(hyper,[status(thm)],[48,41,44,45,46,47]),
[iquote('hyper,48,41,44,45,46,47')] ).
cnf(51,plain,
p_4_3,
inference(hyper,[status(thm)],[48,39,44,45,46,47]),
[iquote('hyper,48,39,44,45,46,47')] ).
cnf(52,plain,
p_4_2,
inference(hyper,[status(thm)],[48,37,44,45,46,47]),
[iquote('hyper,48,37,44,45,46,47')] ).
cnf(53,plain,
p_4_1,
inference(hyper,[status(thm)],[48,35,44,45,46,47]),
[iquote('hyper,48,35,44,45,46,47')] ).
cnf(54,plain,
p_3_5,
inference(hyper,[status(thm)],[53,33,52,51,50,49]),
[iquote('hyper,53,33,52,51,50,49')] ).
cnf(55,plain,
p_3_4,
inference(hyper,[status(thm)],[53,31,52,51,50,49]),
[iquote('hyper,53,31,52,51,50,49')] ).
cnf(56,plain,
p_3_3,
inference(hyper,[status(thm)],[53,29,52,51,50,49]),
[iquote('hyper,53,29,52,51,50,49')] ).
cnf(57,plain,
p_3_2,
inference(hyper,[status(thm)],[53,27,52,51,50,49]),
[iquote('hyper,53,27,52,51,50,49')] ).
cnf(58,plain,
p_3_1,
inference(hyper,[status(thm)],[53,25,52,51,50,49]),
[iquote('hyper,53,25,52,51,50,49')] ).
cnf(59,plain,
p_2_5,
inference(hyper,[status(thm)],[58,23,57,56,55,54]),
[iquote('hyper,58,23,57,56,55,54')] ).
cnf(60,plain,
p_2_4,
inference(hyper,[status(thm)],[58,21,57,56,55,54]),
[iquote('hyper,58,21,57,56,55,54')] ).
cnf(61,plain,
p_2_3,
inference(hyper,[status(thm)],[58,19,57,56,55,54]),
[iquote('hyper,58,19,57,56,55,54')] ).
cnf(62,plain,
p_2_2,
inference(hyper,[status(thm)],[58,17,57,56,55,54]),
[iquote('hyper,58,17,57,56,55,54')] ).
cnf(63,plain,
p_2_1,
inference(hyper,[status(thm)],[58,15,57,56,55,54]),
[iquote('hyper,58,15,57,56,55,54')] ).
cnf(64,plain,
p_1_5,
inference(hyper,[status(thm)],[63,13,62,61,60,59]),
[iquote('hyper,63,13,62,61,60,59')] ).
cnf(65,plain,
p_1_4,
inference(hyper,[status(thm)],[63,11,62,61,60,59]),
[iquote('hyper,63,11,62,61,60,59')] ).
cnf(66,plain,
p_1_3,
inference(hyper,[status(thm)],[63,9,62,61,60,59]),
[iquote('hyper,63,9,62,61,60,59')] ).
cnf(67,plain,
p_1_2,
inference(hyper,[status(thm)],[63,7,62,61,60,59]),
[iquote('hyper,63,7,62,61,60,59')] ).
cnf(68,plain,
p_1_1,
inference(hyper,[status(thm)],[63,5,62,61,60,59]),
[iquote('hyper,63,5,62,61,60,59')] ).
cnf(69,plain,
p_0,
inference(hyper,[status(thm)],[68,3,67,66,65,64]),
[iquote('hyper,68,3,67,66,65,64')] ).
cnf(70,plain,
$false,
inference(binary,[status(thm)],[69,1]),
[iquote('binary,69.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n007.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 10:47:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.79/1.98 ----- Otter 3.3f, August 2004 -----
% 1.79/1.98 The process was started by sandbox2 on n007.cluster.edu,
% 1.79/1.98 Wed Jul 27 10:47:31 2022
% 1.79/1.98 The command was "./otter". The process ID is 28842.
% 1.79/1.98
% 1.79/1.98 set(prolog_style_variables).
% 1.79/1.98 set(auto).
% 1.79/1.98 dependent: set(auto1).
% 1.79/1.98 dependent: set(process_input).
% 1.79/1.98 dependent: clear(print_kept).
% 1.79/1.98 dependent: clear(print_new_demod).
% 1.79/1.98 dependent: clear(print_back_demod).
% 1.79/1.98 dependent: clear(print_back_sub).
% 1.79/1.98 dependent: set(control_memory).
% 1.79/1.98 dependent: assign(max_mem, 12000).
% 1.79/1.98 dependent: assign(pick_given_ratio, 4).
% 1.79/1.98 dependent: assign(stats_level, 1).
% 1.79/1.98 dependent: assign(max_seconds, 10800).
% 1.79/1.98 clear(print_given).
% 1.79/1.98
% 1.79/1.98 list(usable).
% 1.79/1.98 0 [] -p_0.
% 1.79/1.98 0 [] p_0| -p_1_1| -p_1_2| -p_1_3| -p_1_4| -p_1_5.
% 1.79/1.98 0 [] p_1_1| -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5.
% 1.79/1.98 0 [] p_1_2| -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5.
% 1.79/1.98 0 [] p_1_3| -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5.
% 1.79/1.98 0 [] p_1_4| -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5.
% 1.79/1.98 0 [] p_1_5| -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5.
% 1.79/1.98 0 [] p_2_1| -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5.
% 1.79/1.98 0 [] p_2_2| -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5.
% 1.79/1.98 0 [] p_2_3| -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5.
% 1.79/1.98 0 [] p_2_4| -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5.
% 1.79/1.98 0 [] p_2_5| -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5.
% 1.79/1.98 0 [] p_3_1| -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5.
% 1.79/1.98 0 [] p_3_2| -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5.
% 1.79/1.98 0 [] p_3_3| -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5.
% 1.79/1.98 0 [] p_3_4| -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5.
% 1.79/1.98 0 [] p_3_5| -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5.
% 1.79/1.98 0 [] p_4_1| -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5.
% 1.79/1.98 0 [] p_4_2| -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5.
% 1.79/1.98 0 [] p_4_3| -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5.
% 1.79/1.98 0 [] p_4_4| -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5.
% 1.79/1.98 0 [] p_4_5| -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5.
% 1.79/1.98 0 [] p_5_1.
% 1.79/1.98 0 [] p_5_2.
% 1.79/1.98 0 [] p_5_3.
% 1.79/1.98 0 [] p_5_4.
% 1.79/1.98 0 [] p_5_5.
% 1.79/1.98 end_of_list.
% 1.79/1.98
% 1.79/1.98 SCAN INPUT: prop=1, horn=1, equality=0, symmetry=0, max_lits=6.
% 1.79/1.98
% 1.79/1.98 The clause set is propositional; the strategy will be
% 1.79/1.98 ordered hyperresolution with the propositional
% 1.79/1.98 optimizations, with satellites in sos and nuclei in usable.
% 1.79/1.98
% 1.79/1.98 dependent: set(hyper_res).
% 1.79/1.98 dependent: set(propositional).
% 1.79/1.98 dependent: set(sort_literals).
% 1.79/1.98
% 1.79/1.98 ------------> process usable:
% 1.79/1.98 ** KEPT (pick-wt=1): 1 [] -p_0.
% 1.79/1.98 ** KEPT (pick-wt=6): 3 [copy,2,propositional] -p_1_1| -p_1_2| -p_1_3| -p_1_4| -p_1_5|p_0.
% 1.79/1.98 ** KEPT (pick-wt=6): 5 [copy,4,propositional] -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5|p_1_1.
% 1.79/1.98 ** KEPT (pick-wt=6): 7 [copy,6,propositional] -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5|p_1_2.
% 1.79/1.98 ** KEPT (pick-wt=6): 9 [copy,8,propositional] -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5|p_1_3.
% 1.79/1.98 ** KEPT (pick-wt=6): 11 [copy,10,propositional] -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5|p_1_4.
% 1.79/1.98 ** KEPT (pick-wt=6): 13 [copy,12,propositional] -p_2_1| -p_2_2| -p_2_3| -p_2_4| -p_2_5|p_1_5.
% 1.79/1.98 ** KEPT (pick-wt=6): 15 [copy,14,propositional] -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5|p_2_1.
% 1.79/1.98 ** KEPT (pick-wt=6): 17 [copy,16,propositional] -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5|p_2_2.
% 1.79/1.98 ** KEPT (pick-wt=6): 19 [copy,18,propositional] -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5|p_2_3.
% 1.79/1.98 ** KEPT (pick-wt=6): 21 [copy,20,propositional] -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5|p_2_4.
% 1.79/1.98 ** KEPT (pick-wt=6): 23 [copy,22,propositional] -p_3_1| -p_3_2| -p_3_3| -p_3_4| -p_3_5|p_2_5.
% 1.79/1.98 ** KEPT (pick-wt=6): 25 [copy,24,propositional] -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5|p_3_1.
% 1.79/1.98 ** KEPT (pick-wt=6): 27 [copy,26,propositional] -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5|p_3_2.
% 1.79/1.98 ** KEPT (pick-wt=6): 29 [copy,28,propositional] -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5|p_3_3.
% 1.79/1.98 ** KEPT (pick-wt=6): 31 [copy,30,propositional] -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5|p_3_4.
% 1.79/1.98 ** KEPT (pick-wt=6): 33 [copy,32,propositional] -p_4_1| -p_4_2| -p_4_3| -p_4_4| -p_4_5|p_3_5.
% 1.79/1.98 ** KEPT (pick-wt=6): 35 [copy,34,propositional] -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5|p_4_1.
% 1.79/1.98 ** KEPT (pick-wt=6): 37 [copy,36,propositional] -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5|p_4_2.
% 1.79/1.98 ** KEPT (pick-wt=6): 39 [copy,38,propositional] -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5|p_4_3.
% 1.79/1.98 ** KEPT (pick-wt=6): 41 [copy,40,propositional] -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5|p_4_4.
% 1.79/1.98 ** KEPT (pick-wt=6): 43 [copy,42,propositional] -p_5_1| -p_5_2| -p_5_3| -p_5_4| -p_5_5|p_4_5.
% 1.79/1.98
% 1.79/1.98 ------------> process sos:
% 1.79/1.98 ** KEPT (pick-wt=1): 44 [] p_5_1.
% 1.79/1.98 ** KEPT (pick-wt=1): 45 [] p_5_2.
% 1.79/1.98 ** KEPT (pick-wt=1): 46 [] p_5_3.
% 1.79/1.98 ** KEPT (pick-wt=1): 47 [] p_5_4.
% 1.79/1.98 ** KEPT (pick-wt=1): 48 [] p_5_5.
% 1.79/1.98
% 1.79/1.98 ======= end of input processing =======
% 1.79/1.98
% 1.79/1.98 =========== start of search ===========
% 1.79/1.98
% 1.79/1.98 -------- PROOF --------
% 1.79/1.98
% 1.79/1.98 ----> UNIT CONFLICT at 0.00 sec ----> 70 [binary,69.1,1.1] $F.
% 1.79/1.98
% 1.79/1.98 Length of proof is 42. Level of proof is 6.
% 1.79/1.98
% 1.79/1.98 ---------------- PROOF ----------------
% 1.79/1.98 % SZS status Unsatisfiable
% 1.79/1.98 % SZS output start Refutation
% See solution above
% 1.79/1.98 ------------ end of proof -------------
% 1.79/1.98
% 1.79/1.98
% 1.79/1.98 Search stopped by max_proofs option.
% 1.79/1.98
% 1.79/1.98
% 1.79/1.98 Search stopped by max_proofs option.
% 1.79/1.98
% 1.79/1.98 ============ end of search ============
% 1.79/1.98
% 1.79/1.98 -------------- statistics -------------
% 1.79/1.98 clauses given 25
% 1.79/1.98 clauses generated 21
% 1.79/1.98 clauses kept 48
% 1.79/1.98 clauses forward subsumed 0
% 1.79/1.98 clauses back subsumed 20
% 1.79/1.98 Kbytes malloced 976
% 1.79/1.98
% 1.79/1.98 ----------- times (seconds) -----------
% 1.79/1.98 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.79/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.79/1.98 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.79/1.98
% 1.79/1.98 That finishes the proof of the theorem.
% 1.79/1.98
% 1.79/1.98 Process 28842 finished Wed Jul 27 10:47:32 2022
% 1.79/1.98 Otter interrupted
% 1.79/1.98 PROOF FOUND
%------------------------------------------------------------------------------