TSTP Solution File: SYN094-1.005 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 1.97s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 38
% Syntax : Number of clauses : 110 ( 21 unt; 51 nHn; 110 RR)
% Number of literals : 261 ( 0 equ; 101 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 38 ( 37 usr; 38 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( u_1
| ~ p_0
| ~ q_0 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(2,plain,
( ~ p_0
| ~ q_0
| u_1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,propositional')] ).
cnf(3,axiom,
~ u_1,
file('SYN094-1.005.p',unknown),
[] ).
cnf(8,axiom,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(9,plain,
( ~ q_1
| ~ q_2
| p_0
| u_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[8])]),
[iquote('copy,8,propositional')] ).
cnf(10,axiom,
( p_0
| ~ u_3 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(11,plain,
( ~ u_3
| p_0 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[10])]),
[iquote('copy,10,propositional')] ).
cnf(24,axiom,
( u_7
| p_2
| ~ q_3
| ~ q_4 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(25,plain,
( ~ q_3
| ~ q_4
| p_2
| u_7 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[24])]),
[iquote('copy,24,propositional')] ).
cnf(26,axiom,
( p_2
| ~ u_7 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(27,plain,
( ~ u_7
| p_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[26])]),
[iquote('copy,26,propositional')] ).
cnf(32,axiom,
( u_9
| p_3
| ~ q_4
| ~ q_5 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(33,plain,
( ~ q_4
| ~ q_5
| p_3
| u_9 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[32])]),
[iquote('copy,32,propositional')] ).
cnf(34,axiom,
( p_3
| ~ u_9 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(35,plain,
( ~ u_9
| p_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[34])]),
[iquote('copy,34,propositional')] ).
cnf(40,axiom,
( u_11
| p_4
| ~ q_5
| ~ q_6 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(41,plain,
( ~ q_5
| ~ q_6
| p_4
| u_11 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[40])]),
[iquote('copy,40,propositional')] ).
cnf(42,axiom,
( p_4
| ~ u_11 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(43,plain,
( ~ u_11
| p_4 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[42])]),
[iquote('copy,42,propositional')] ).
cnf(48,axiom,
( u_13
| p_5
| ~ q_6
| ~ q_7 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(49,plain,
( ~ q_6
| ~ q_7
| p_5
| u_13 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[48])]),
[iquote('copy,48,propositional')] ).
cnf(50,axiom,
( p_5
| ~ u_13 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(51,plain,
( ~ u_13
| p_5 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[50])]),
[iquote('copy,50,propositional')] ).
cnf(52,axiom,
( u_14
| p_6
| ~ p_7
| ~ p_8 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(53,plain,
( ~ p_7
| ~ p_8
| p_6
| u_14 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[52])]),
[iquote('copy,52,propositional')] ).
cnf(54,axiom,
( p_6
| ~ u_14 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(55,plain,
( ~ u_14
| p_6 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[54])]),
[iquote('copy,54,propositional')] ).
cnf(60,axiom,
( u_16
| p_7
| ~ p_8
| ~ p_9 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(61,plain,
( ~ p_8
| ~ p_9
| p_7
| u_16 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[60])]),
[iquote('copy,60,propositional')] ).
cnf(62,axiom,
( p_7
| ~ u_16 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(63,plain,
( ~ u_16
| p_7 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[62])]),
[iquote('copy,62,propositional')] ).
cnf(72,axiom,
( u_19
| q_0
| ~ q_1
| ~ p_2 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(73,plain,
( ~ p_2
| ~ q_1
| q_0
| u_19 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[72])]),
[iquote('copy,72,propositional')] ).
cnf(74,axiom,
( q_0
| ~ u_19 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(75,plain,
( ~ u_19
| q_0 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[74])]),
[iquote('copy,74,propositional')] ).
cnf(80,axiom,
( u_21
| q_1
| ~ q_2
| ~ p_3 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(81,plain,
( ~ q_2
| ~ p_3
| q_1
| u_21 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[80])]),
[iquote('copy,80,propositional')] ).
cnf(82,axiom,
( q_1
| ~ u_21 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(83,plain,
( ~ u_21
| q_1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[82])]),
[iquote('copy,82,propositional')] ).
cnf(88,axiom,
( u_23
| q_2
| ~ q_3
| ~ p_4 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(89,plain,
( ~ q_3
| ~ p_4
| q_2
| u_23 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[88])]),
[iquote('copy,88,propositional')] ).
cnf(90,axiom,
( q_2
| ~ u_23 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(91,plain,
( ~ u_23
| q_2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[90])]),
[iquote('copy,90,propositional')] ).
cnf(96,axiom,
( u_25
| q_3
| ~ q_4
| ~ p_5 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(97,plain,
( ~ q_4
| ~ p_5
| q_3
| u_25 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[96])]),
[iquote('copy,96,propositional')] ).
cnf(98,axiom,
( q_3
| ~ u_25 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(99,plain,
( ~ u_25
| q_3 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[98])]),
[iquote('copy,98,propositional')] ).
cnf(104,axiom,
( u_27
| q_4
| ~ q_5
| ~ p_6 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(105,plain,
( ~ q_5
| ~ p_6
| q_4
| u_27 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[104])]),
[iquote('copy,104,propositional')] ).
cnf(106,axiom,
( q_4
| ~ u_27 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(107,plain,
( ~ u_27
| q_4 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[106])]),
[iquote('copy,106,propositional')] ).
cnf(112,axiom,
( u_29
| q_5
| ~ q_6
| ~ p_7 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(113,plain,
( ~ q_6
| ~ p_7
| q_5
| u_29 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[112])]),
[iquote('copy,112,propositional')] ).
cnf(114,axiom,
( q_5
| ~ u_29 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(115,plain,
( ~ u_29
| q_5 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[114])]),
[iquote('copy,114,propositional')] ).
cnf(116,axiom,
( u_30
| q_6
| ~ p_7
| ~ q_8 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(117,plain,
( ~ p_7
| ~ q_8
| q_6
| u_30 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[116])]),
[iquote('copy,116,propositional')] ).
cnf(118,axiom,
( q_6
| ~ u_30 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(119,plain,
( ~ u_30
| q_6 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[118])]),
[iquote('copy,118,propositional')] ).
cnf(128,axiom,
( u_33
| q_7
| ~ q_8
| ~ p_9 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(129,plain,
( ~ q_8
| ~ p_9
| q_7
| u_33 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[128])]),
[iquote('copy,128,propositional')] ).
cnf(130,axiom,
( q_7
| ~ u_33 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(131,plain,
( ~ u_33
| q_7 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[130])]),
[iquote('copy,130,propositional')] ).
cnf(148,axiom,
( p_8
| ~ u_38 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(149,plain,
( ~ u_38
| p_8 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[148])]),
[iquote('copy,148,propositional')] ).
cnf(150,axiom,
( p_9
| ~ u_39 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(151,plain,
( ~ u_39
| p_9 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[150])]),
[iquote('copy,150,propositional')] ).
cnf(152,axiom,
( q_8
| ~ u_40 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(153,plain,
( ~ u_40
| q_8 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[152])]),
[iquote('copy,152,propositional')] ).
cnf(156,axiom,
( u_38
| p_8 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(157,plain,
( p_8
| u_38 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[156])]),
[iquote('copy,156,propositional')] ).
cnf(158,axiom,
( u_39
| p_9 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(159,plain,
( p_9
| u_39 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[158])]),
[iquote('copy,158,propositional')] ).
cnf(160,axiom,
( u_40
| q_8 ),
file('SYN094-1.005.p',unknown),
[] ).
cnf(161,plain,
( q_8
| u_40 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[160])]),
[iquote('copy,160,propositional')] ).
cnf(164,plain,
p_8,
inference(hyper,[status(thm)],[157,149]),
[iquote('hyper,157,149')] ).
cnf(165,plain,
p_9,
inference(hyper,[status(thm)],[159,151]),
[iquote('hyper,159,151')] ).
cnf(166,plain,
( p_7
| u_16 ),
inference(hyper,[status(thm)],[165,61,164]),
[iquote('hyper,165,61,164')] ).
cnf(167,plain,
q_8,
inference(hyper,[status(thm)],[161,153]),
[iquote('hyper,161,153')] ).
cnf(169,plain,
( q_7
| u_33 ),
inference(hyper,[status(thm)],[167,129,165]),
[iquote('hyper,167,129,165')] ).
cnf(172,plain,
p_7,
inference(hyper,[status(thm)],[166,63]),
[iquote('hyper,166,63')] ).
cnf(173,plain,
( q_6
| u_30 ),
inference(hyper,[status(thm)],[172,117,167]),
[iquote('hyper,172,117,167')] ).
cnf(174,plain,
( p_6
| u_14 ),
inference(hyper,[status(thm)],[172,53,164]),
[iquote('hyper,172,53,164')] ).
cnf(175,plain,
q_7,
inference(hyper,[status(thm)],[169,131]),
[iquote('hyper,169,131')] ).
cnf(178,plain,
q_6,
inference(hyper,[status(thm)],[173,119]),
[iquote('hyper,173,119')] ).
cnf(179,plain,
( q_5
| u_29 ),
inference(hyper,[status(thm)],[178,113,172]),
[iquote('hyper,178,113,172')] ).
cnf(180,plain,
( p_5
| u_13 ),
inference(hyper,[status(thm)],[178,49,175]),
[iquote('hyper,178,49,175')] ).
cnf(181,plain,
p_6,
inference(hyper,[status(thm)],[174,55]),
[iquote('hyper,174,55')] ).
cnf(182,plain,
q_5,
inference(hyper,[status(thm)],[179,115]),
[iquote('hyper,179,115')] ).
cnf(185,plain,
( q_4
| u_27 ),
inference(hyper,[status(thm)],[182,105,181]),
[iquote('hyper,182,105,181')] ).
cnf(186,plain,
( p_4
| u_11 ),
inference(hyper,[status(thm)],[182,41,178]),
[iquote('hyper,182,41,178')] ).
cnf(187,plain,
p_5,
inference(hyper,[status(thm)],[180,51]),
[iquote('hyper,180,51')] ).
cnf(192,plain,
q_4,
inference(hyper,[status(thm)],[185,107]),
[iquote('hyper,185,107')] ).
cnf(193,plain,
( q_3
| u_25 ),
inference(hyper,[status(thm)],[192,97,187]),
[iquote('hyper,192,97,187')] ).
cnf(194,plain,
( p_3
| u_9 ),
inference(hyper,[status(thm)],[192,33,182]),
[iquote('hyper,192,33,182')] ).
cnf(195,plain,
p_4,
inference(hyper,[status(thm)],[186,43]),
[iquote('hyper,186,43')] ).
cnf(199,plain,
q_3,
inference(hyper,[status(thm)],[193,99]),
[iquote('hyper,193,99')] ).
cnf(200,plain,
( q_2
| u_23 ),
inference(hyper,[status(thm)],[199,89,195]),
[iquote('hyper,199,89,195')] ).
cnf(201,plain,
( p_2
| u_7 ),
inference(hyper,[status(thm)],[199,25,192]),
[iquote('hyper,199,25,192')] ).
cnf(202,plain,
p_3,
inference(hyper,[status(thm)],[194,35]),
[iquote('hyper,194,35')] ).
cnf(205,plain,
q_2,
inference(hyper,[status(thm)],[200,91]),
[iquote('hyper,200,91')] ).
cnf(206,plain,
( q_1
| u_21 ),
inference(hyper,[status(thm)],[205,81,202]),
[iquote('hyper,205,81,202')] ).
cnf(208,plain,
p_2,
inference(hyper,[status(thm)],[201,27]),
[iquote('hyper,201,27')] ).
cnf(209,plain,
q_1,
inference(hyper,[status(thm)],[206,83]),
[iquote('hyper,206,83')] ).
cnf(211,plain,
( q_0
| u_19 ),
inference(hyper,[status(thm)],[209,73,208]),
[iquote('hyper,209,73,208')] ).
cnf(212,plain,
( p_0
| u_3 ),
inference(hyper,[status(thm)],[209,9,205]),
[iquote('hyper,209,9,205')] ).
cnf(216,plain,
q_0,
inference(hyper,[status(thm)],[211,75]),
[iquote('hyper,211,75')] ).
cnf(217,plain,
p_0,
inference(hyper,[status(thm)],[212,11]),
[iquote('hyper,212,11')] ).
cnf(218,plain,
u_1,
inference(hyper,[status(thm)],[217,2,216]),
[iquote('hyper,217,2,216')] ).
cnf(219,plain,
$false,
inference(binary,[status(thm)],[218,3]),
[iquote('binary,218.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.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 10:54:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.77/1.97 ----- Otter 3.3f, August 2004 -----
% 1.77/1.97 The process was started by sandbox2 on n004.cluster.edu,
% 1.77/1.97 Wed Jul 27 10:54:36 2022
% 1.77/1.97 The command was "./otter". The process ID is 12711.
% 1.77/1.97
% 1.77/1.97 set(prolog_style_variables).
% 1.77/1.97 set(auto).
% 1.77/1.97 dependent: set(auto1).
% 1.77/1.97 dependent: set(process_input).
% 1.77/1.97 dependent: clear(print_kept).
% 1.77/1.97 dependent: clear(print_new_demod).
% 1.77/1.97 dependent: clear(print_back_demod).
% 1.77/1.97 dependent: clear(print_back_sub).
% 1.77/1.97 dependent: set(control_memory).
% 1.77/1.97 dependent: assign(max_mem, 12000).
% 1.77/1.97 dependent: assign(pick_given_ratio, 4).
% 1.77/1.97 dependent: assign(stats_level, 1).
% 1.77/1.97 dependent: assign(max_seconds, 10800).
% 1.77/1.97 clear(print_given).
% 1.77/1.97
% 1.77/1.97 list(usable).
% 1.77/1.97 0 [] u_1| -p_0| -q_0.
% 1.77/1.97 0 [] -u_1.
% 1.77/1.97 0 [] u_2|p_0| -p_1| -p_2.
% 1.77/1.97 0 [] p_0| -u_2.
% 1.77/1.97 0 [] u_3|p_0| -q_1| -q_2.
% 1.77/1.97 0 [] p_0| -u_3.
% 1.77/1.97 0 [] u_4|p_1| -p_2| -p_3.
% 1.77/1.97 0 [] p_1| -u_4.
% 1.77/1.97 0 [] u_5|p_1| -q_2| -q_3.
% 1.77/1.97 0 [] p_1| -u_5.
% 1.77/1.97 0 [] u_6|p_2| -p_3| -p_4.
% 1.77/1.97 0 [] p_2| -u_6.
% 1.77/1.97 0 [] u_7|p_2| -q_3| -q_4.
% 1.77/1.97 0 [] p_2| -u_7.
% 1.77/1.97 0 [] u_8|p_3| -p_4| -p_5.
% 1.77/1.97 0 [] p_3| -u_8.
% 1.77/1.97 0 [] u_9|p_3| -q_4| -q_5.
% 1.77/1.97 0 [] p_3| -u_9.
% 1.77/1.97 0 [] u_10|p_4| -p_5| -p_6.
% 1.77/1.97 0 [] p_4| -u_10.
% 1.77/1.97 0 [] u_11|p_4| -q_5| -q_6.
% 1.77/1.97 0 [] p_4| -u_11.
% 1.77/1.97 0 [] u_12|p_5| -p_6| -p_7.
% 1.77/1.97 0 [] p_5| -u_12.
% 1.77/1.97 0 [] u_13|p_5| -q_6| -q_7.
% 1.77/1.97 0 [] p_5| -u_13.
% 1.77/1.97 0 [] u_14|p_6| -p_7| -p_8.
% 1.77/1.97 0 [] p_6| -u_14.
% 1.77/1.97 0 [] u_15|p_6| -q_7| -q_8.
% 1.77/1.97 0 [] p_6| -u_15.
% 1.77/1.97 0 [] u_16|p_7| -p_8| -p_9.
% 1.77/1.97 0 [] p_7| -u_16.
% 1.77/1.97 0 [] u_17|p_7| -q_8| -q_9.
% 1.77/1.97 0 [] p_7| -u_17.
% 1.77/1.97 0 [] u_18|q_0| -p_1| -q_2.
% 1.77/1.97 0 [] q_0| -u_18.
% 1.77/1.97 0 [] u_19|q_0| -q_1| -p_2.
% 1.77/1.97 0 [] q_0| -u_19.
% 1.77/1.97 0 [] u_20|q_1| -p_2| -q_3.
% 1.77/1.97 0 [] q_1| -u_20.
% 1.77/1.97 0 [] u_21|q_1| -q_2| -p_3.
% 1.77/1.97 0 [] q_1| -u_21.
% 1.77/1.97 0 [] u_22|q_2| -p_3| -q_4.
% 1.77/1.97 0 [] q_2| -u_22.
% 1.77/1.97 0 [] u_23|q_2| -q_3| -p_4.
% 1.77/1.97 0 [] q_2| -u_23.
% 1.77/1.97 0 [] u_24|q_3| -p_4| -q_5.
% 1.77/1.97 0 [] q_3| -u_24.
% 1.77/1.97 0 [] u_25|q_3| -q_4| -p_5.
% 1.77/1.97 0 [] q_3| -u_25.
% 1.77/1.97 0 [] u_26|q_4| -p_5| -q_6.
% 1.77/1.97 0 [] q_4| -u_26.
% 1.77/1.97 0 [] u_27|q_4| -q_5| -p_6.
% 1.77/1.97 0 [] q_4| -u_27.
% 1.77/1.97 0 [] u_28|q_5| -p_6| -q_7.
% 1.77/1.97 0 [] q_5| -u_28.
% 1.77/1.97 0 [] u_29|q_5| -q_6| -p_7.
% 1.77/1.97 0 [] q_5| -u_29.
% 1.77/1.97 0 [] u_30|q_6| -p_7| -q_8.
% 1.77/1.97 0 [] q_6| -u_30.
% 1.77/1.97 0 [] u_31|q_6| -q_7| -p_8.
% 1.77/1.97 0 [] q_6| -u_31.
% 1.77/1.97 0 [] u_32|q_7| -p_8| -q_9.
% 1.77/1.97 0 [] q_7| -u_32.
% 1.77/1.97 0 [] u_33|q_7| -q_8| -p_9.
% 1.77/1.97 0 [] q_7| -u_33.
% 1.77/1.97 0 [] u_34|p_9| -p_4.
% 1.77/1.97 0 [] p_9| -u_34.
% 1.77/1.97 0 [] u_35|p_10| -p_5.
% 1.77/1.97 0 [] p_10| -u_35.
% 1.77/1.97 0 [] u_36|q_9| -q_4.
% 1.77/1.97 0 [] q_9| -u_36.
% 1.77/1.97 0 [] u_37|q_10| -q_5.
% 1.77/1.97 0 [] q_10| -u_37.
% 1.77/1.97 0 [] u_38|p_8.
% 1.77/1.97 0 [] p_8| -u_38.
% 1.77/1.97 0 [] u_39|p_9.
% 1.77/1.97 0 [] p_9| -u_39.
% 1.77/1.97 0 [] u_40|q_8.
% 1.77/1.97 0 [] q_8| -u_40.
% 1.77/1.97 0 [] u_41|q_9.
% 1.77/1.97 0 [] q_9| -u_41.
% 1.77/1.97 end_of_list.
% 1.77/1.97
% 1.77/1.97 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.77/1.97
% 1.77/1.97 The clause set is propositional; the strategy will be
% 1.77/1.97 ordered hyperresolution with the propositional
% 1.77/1.97 optimizations, with satellites in sos and nuclei in usable.
% 1.77/1.97
% 1.77/1.97 dependent: set(hyper_res).
% 1.77/1.97 dependent: set(propositional).
% 1.77/1.97 dependent: set(sort_literals).
% 1.77/1.97
% 1.77/1.97 ------------> process usable:
% 1.77/1.97 ** KEPT (pick-wt=3): 2 [copy,1,propositional] -p_0| -q_0|u_1.
% 1.77/1.97 ** KEPT (pick-wt=1): 3 [] -u_1.
% 1.77/1.97 ** KEPT (pick-wt=4): 5 [copy,4,propositional] -p_1| -p_2|p_0|u_2.
% 1.77/1.97 ** KEPT (pick-wt=2): 7 [copy,6,propositional] -u_2|p_0.
% 1.77/1.97 ** KEPT (pick-wt=4): 9 [copy,8,propositional] -q_1| -q_2|p_0|u_3.
% 1.77/1.97 ** KEPT (pick-wt=2): 11 [copy,10,propositional] -u_3|p_0.
% 1.77/1.97 ** KEPT (pick-wt=4): 13 [copy,12,propositional] -p_2| -p_3|p_1|u_4.
% 1.77/1.97 ** KEPT (pick-wt=2): 15 [copy,14,propositional] -u_4|p_1.
% 1.77/1.97 ** KEPT (pick-wt=4): 17 [copy,16,propositional] -q_2| -q_3|p_1|u_5.
% 1.77/1.97 ** KEPT (pick-wt=2): 19 [copy,18,propositional] -u_5|p_1.
% 1.77/1.97 ** KEPT (pick-wt=4): 21 [copy,20,propositional] -p_3| -p_4|p_2|u_6.
% 1.77/1.97 ** KEPT (pick-wt=2): 23 [copy,22,propositional] -u_6|p_2.
% 1.77/1.97 ** KEPT (pick-wt=4): 25 [copy,24,propositional] -q_3| -q_4|p_2|u_7.
% 1.77/1.97 ** KEPT (pick-wt=2): 27 [copy,26,propositional] -u_7|p_2.
% 1.77/1.97 ** KEPT (pick-wt=4): 29 [copy,28,propositional] -p_4| -p_5|p_3|u_8.
% 1.77/1.97 ** KEPT (pick-wt=2): 31 [copy,30,propositional] -u_8|p_3.
% 1.77/1.97 ** KEPT (pick-wt=4): 33 [copy,32,propositional] -q_4| -q_5|p_3|u_9.
% 1.77/1.97 ** KEPT (pick-wt=2): 35 [copy,34,propositional] -u_9|p_3.
% 1.77/1.97 ** KEPT (pick-wt=4): 37 [copy,36,propositional] -p_5| -p_6|p_4|u_10.
% 1.77/1.97 ** KEPT (pick-wt=2): 39 [copy,38,propositional] -u_10|p_4.
% 1.77/1.97 ** KEPT (pick-wt=4): 41 [copy,40,propositional] -q_5| -q_6|p_4|u_11.
% 1.77/1.97 ** KEPT (pick-wt=2): 43 [copy,42,propositional] -u_11|p_4.
% 1.77/1.97 ** KEPT (pick-wt=4): 45 [copy,44,propositional] -p_6| -p_7|p_5|u_12.
% 1.77/1.97 ** KEPT (pick-wt=2): 47 [copy,46,propositional] -u_12|p_5.
% 1.77/1.97 ** KEPT (pick-wt=4): 49 [copy,48,propositional] -q_6| -q_7|p_5|u_13.
% 1.77/1.97 ** KEPT (pick-wt=2): 51 [copy,50,propositional] -u_13|p_5.
% 1.77/1.97 ** KEPT (pick-wt=4): 53 [copy,52,propositional] -p_7| -p_8|p_6|u_14.
% 1.77/1.97 ** KEPT (pick-wt=2): 55 [copy,54,propositional] -u_14|p_6.
% 1.77/1.97 ** KEPT (pick-wt=4): 57 [copy,56,propositional] -q_7| -q_8|p_6|u_15.
% 1.77/1.97 ** KEPT (pick-wt=2): 59 [copy,58,propositional] -u_15|p_6.
% 1.77/1.97 ** KEPT (pick-wt=4): 61 [copy,60,propositional] -p_8| -p_9|p_7|u_16.
% 1.77/1.97 ** KEPT (pick-wt=2): 63 [copy,62,propositional] -u_16|p_7.
% 1.77/1.97 ** KEPT (pick-wt=4): 65 [copy,64,propositional] -q_8| -q_9|p_7|u_17.
% 1.77/1.97 ** KEPT (pick-wt=2): 67 [copy,66,propositional] -u_17|p_7.
% 1.77/1.97 ** KEPT (pick-wt=4): 69 [copy,68,propositional] -p_1| -q_2|q_0|u_18.
% 1.77/1.97 ** KEPT (pick-wt=2): 71 [copy,70,propositional] -u_18|q_0.
% 1.77/1.97 ** KEPT (pick-wt=4): 73 [copy,72,propositional] -p_2| -q_1|q_0|u_19.
% 1.77/1.97 ** KEPT (pick-wt=2): 75 [copy,74,propositional] -u_19|q_0.
% 1.77/1.97 ** KEPT (pick-wt=4): 77 [copy,76,propositional] -p_2| -q_3|q_1|u_20.
% 1.77/1.97 ** KEPT (pick-wt=2): 79 [copy,78,propositional] -u_20|q_1.
% 1.77/1.97 ** KEPT (pick-wt=4): 81 [copy,80,propositional] -q_2| -p_3|q_1|u_21.
% 1.77/1.97 ** KEPT (pick-wt=2): 83 [copy,82,propositional] -u_21|q_1.
% 1.77/1.97 ** KEPT (pick-wt=4): 85 [copy,84,propositional] -p_3| -q_4|q_2|u_22.
% 1.77/1.97 ** KEPT (pick-wt=2): 87 [copy,86,propositional] -u_22|q_2.
% 1.77/1.97 ** KEPT (pick-wt=4): 89 [copy,88,propositional] -q_3| -p_4|q_2|u_23.
% 1.77/1.97 ** KEPT (pick-wt=2): 91 [copy,90,propositional] -u_23|q_2.
% 1.77/1.97 ** KEPT (pick-wt=4): 93 [copy,92,propositional] -p_4| -q_5|q_3|u_24.
% 1.77/1.97 ** KEPT (pick-wt=2): 95 [copy,94,propositional] -u_24|q_3.
% 1.77/1.97 ** KEPT (pick-wt=4): 97 [copy,96,propositional] -q_4| -p_5|q_3|u_25.
% 1.77/1.97 ** KEPT (pick-wt=2): 99 [copy,98,propositional] -u_25|q_3.
% 1.77/1.97 ** KEPT (pick-wt=4): 101 [copy,100,propositional] -p_5| -q_6|q_4|u_26.
% 1.77/1.97 ** KEPT (pick-wt=2): 103 [copy,102,propositional] -u_26|q_4.
% 1.77/1.97 ** KEPT (pick-wt=4): 105 [copy,104,propositional] -q_5| -p_6|q_4|u_27.
% 1.77/1.97 ** KEPT (pick-wt=2): 107 [copy,106,propositional] -u_27|q_4.
% 1.77/1.97 ** KEPT (pick-wt=4): 109 [copy,108,propositional] -p_6| -q_7|q_5|u_28.
% 1.77/1.97 ** KEPT (pick-wt=2): 111 [copy,110,propositional] -u_28|q_5.
% 1.77/1.97 ** KEPT (pick-wt=4): 113 [copy,112,propositional] -q_6| -p_7|q_5|u_29.
% 1.77/1.97 ** KEPT (pick-wt=2): 115 [copy,114,propositional] -u_29|q_5.
% 1.77/1.97 ** KEPT (pick-wt=4): 117 [copy,116,propositional] -p_7| -q_8|q_6|u_30.
% 1.77/1.97 ** KEPT (pick-wt=2): 119 [copy,118,propositional] -u_30|q_6.
% 1.77/1.97 ** KEPT (pick-wt=4): 121 [copy,120,propositional] -q_7| -p_8|q_6|u_31.
% 1.77/1.97 ** KEPT (pick-wt=2): 123 [copy,122,propositional] -u_31|q_6.
% 1.77/1.97 ** KEPT (pick-wt=4): 125 [copy,124,propositional] -p_8| -q_9|q_7|u_32.
% 1.77/1.97 ** KEPT (pick-wt=2): 127 [copy,126,propositional] -u_32|q_7.
% 1.77/1.97 ** KEPT (pick-wt=4): 129 [copy,128,propositional] -q_8| -p_9|q_7|u_33.
% 1.77/1.97 ** KEPT (pick-wt=2): 131 [copy,130,propositional] -u_33|q_7.
% 1.77/1.97 ** KEPT (pick-wt=3): 133 [copy,132,propositional] -p_4|p_9|u_34.
% 1.77/1.97 ** KEPT (pick-wt=2): 135 [copy,134,propositional] -u_34|p_9.
% 1.77/1.97 ** KEPT (pick-wt=3): 137 [copy,136,propositional] -p_5|u_35|p_10.
% 1.77/1.97 ** KEPT (pick-wt=2): 139 [copy,138,propositional] -u_35|p_10.
% 1.77/1.97 ** KEPT (pick-wt=3): 141 [copy,140,propositional] -q_4|q_9|u_36.
% 1.77/1.97 ** KEPT (pick-wt=2): 143 [copy,142,propositional] -u_36|q_9.
% 1.77/1.97 ** KEPT (pick-wt=3): 145 [copy,144,propositional] -q_5|u_37|q_10.
% 1.77/1.97 ** KEPT (pick-wt=2): 147 [copy,146,propositional] -u_37|q_10.
% 1.77/1.97 ** KEPT (pick-wt=2): 149 [copy,148,propositional] -u_38|p_8.
% 1.77/1.97 ** KEPT (pick-wt=2): 151 [copy,150,propositional] -u_39|p_9.
% 1.77/1.97 ** KEPT (pick-wt=2): 153 [copy,152,propositional] -u_40|q_8.
% 1.77/1.97 ** KEPT (pick-wt=2): 155 [copy,154,propositional] -u_41|q_9.
% 1.77/1.97
% 1.77/1.97 ------------> process sos:
% 1.77/1.97 ** KEPT (pick-wt=2): 157 [copy,156,propositional] p_8|u_38.
% 1.77/1.97 ** KEPT (pick-wt=2): 159 [copy,158,propositional] p_9|u_39.
% 1.77/1.97 ** KEPT (pick-wt=2): 161 [copy,160,propositional] q_8|u_40.
% 1.77/1.97 ** KEPT (pick-wt=2): 163 [copy,162,propositional] q_9|u_41.
% 1.77/1.97
% 1.77/1.97 ======= end of input processing =======
% 1.77/1.97
% 1.77/1.97 =========== start of search ===========
% 1.77/1.97
% 1.77/1.97 -------- PROOF --------
% 1.77/1.97
% 1.77/1.97 ----> UNIT CONFLICT at 0.00 sec ----> 219 [binary,218.1,3.1] $F.
% 1.77/1.97
% 1.77/1.97 Length of proof is 71. Level of proof is 19.
% 1.77/1.97
% 1.77/1.97 ---------------- PROOF ----------------
% 1.77/1.97 % SZS status Unsatisfiable
% 1.77/1.97 % SZS output start Refutation
% See solution above
% 1.77/1.97 ------------ end of proof -------------
% 1.77/1.97
% 1.77/1.97
% 1.77/1.97 Search stopped by max_proofs option.
% 1.77/1.97
% 1.77/1.97
% 1.77/1.97 Search stopped by max_proofs option.
% 1.77/1.97
% 1.77/1.97 ============ end of search ============
% 1.77/1.97
% 1.77/1.97 -------------- statistics -------------
% 1.77/1.97 clauses given 44
% 1.77/1.97 clauses generated 55
% 1.77/1.97 clauses kept 137
% 1.77/1.97 clauses forward subsumed 0
% 1.77/1.97 clauses back subsumed 112
% 1.77/1.97 Kbytes malloced 976
% 1.77/1.97
% 1.77/1.97 ----------- times (seconds) -----------
% 1.77/1.97 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.97 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.77/1.97
% 1.77/1.97 That finishes the proof of the theorem.
% 1.77/1.97
% 1.77/1.97 Process 12711 finished Wed Jul 27 10:54:37 2022
% 1.77/1.97 Otter interrupted
% 1.77/1.97 PROOF FOUND
%------------------------------------------------------------------------------