TSTP Solution File: GRP575-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 12:57:17 EDT 2022
% Result : Unsatisfiable 1.75s 1.97s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of clauses : 59 ( 59 unt; 0 nHn; 7 RR)
% Number of literals : 59 ( 58 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('GRP575-1.p',unknown),
[] ).
cnf(3,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B,
file('GRP575-1.p',unknown),
[] ).
cnf(6,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity),
file('GRP575-1.p',unknown),
[] ).
cnf(8,axiom,
inverse(A) = double_divide(A,identity),
file('GRP575-1.p',unknown),
[] ).
cnf(9,axiom,
identity = double_divide(A,inverse(A)),
file('GRP575-1.p',unknown),
[] ).
cnf(10,plain,
double_divide(A,double_divide(A,identity)) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[9]),8])]),
[iquote('copy,9,demod,8,flip.1')] ).
cnf(12,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),6,6,6,6])]),
[iquote('back_demod,1,demod,6,6,6,6,flip.1')] ).
cnf(13,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(B,identity),double_divide(A,identity))),double_divide(identity,identity)) = B,
inference(para_into,[status(thm),theory(equality)],[3,10]),
[iquote('para_into,3.1.1.1.2.1.2,10.1.1')] ).
cnf(17,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(A,identity))),double_divide(identity,identity)) = A,
inference(para_into,[status(thm),theory(equality)],[3,10]),
[iquote('para_into,3.1.1.1.2.1,10.1.1')] ).
cnf(19,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(A,double_divide(C,B)),double_divide(C,identity))),
inference(para_into,[status(thm),theory(equality)],[3,3]),
[iquote('para_into,3.1.1.1.2.1,3.1.1')] ).
cnf(20,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(double_divide(identity,double_divide(B,double_divide(identity,identity))),double_divide(identity,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[19])]),
[iquote('copy,19,flip.1')] ).
cnf(24,plain,
double_divide(double_divide(double_divide(A,identity),A),double_divide(identity,identity)) = identity,
inference(para_from,[status(thm),theory(equality)],[17,3]),
[iquote('para_from,17.1.1,3.1.1.1.2')] ).
cnf(26,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(identity,double_divide(identity,double_divide(A,identity))),
inference(para_from,[status(thm),theory(equality)],[17,3]),
[iquote('para_from,17.1.1,3.1.1.1.2.1')] ).
cnf(29,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(identity,double_divide(identity,double_divide(B,identity))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[20]),26]),
[iquote('back_demod,20,demod,26')] ).
cnf(32,plain,
double_divide(identity,identity) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[13,24]),24])]),
[iquote('para_into,13.1.1.1.2,23.1.1,demod,24,flip.1')] ).
cnf(34,plain,
double_divide(double_divide(double_divide(double_divide(A,identity),identity),identity),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[13,10]),32]),
[iquote('para_into,13.1.1.1.2,10.1.1,demod,32')] ).
cnf(37,plain,
double_divide(double_divide(identity,double_divide(A,identity)),identity) = double_divide(identity,double_divide(identity,double_divide(A,identity))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[26]),32,32]),
[iquote('back_demod,25,demod,32,32')] ).
cnf(39,plain,
double_divide(double_divide(double_divide(A,identity),A),identity) = identity,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[24]),32]),
[iquote('back_demod,23,demod,32')] ).
cnf(41,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(A,identity))),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[17]),32]),
[iquote('back_demod,17,demod,32')] ).
cnf(51,plain,
double_divide(double_divide(A,identity),double_divide(double_divide(identity,double_divide(identity,double_divide(B,identity))),double_divide(double_divide(B,double_divide(A,C)),identity))) = double_divide(identity,double_divide(identity,double_divide(C,identity))),
inference(para_into,[status(thm),theory(equality)],[29,29]),
[iquote('para_into,29.1.1.2.1,29.1.1')] ).
cnf(53,plain,
double_divide(A,double_divide(double_divide(B,double_divide(identity,A)),identity)) = double_divide(identity,double_divide(identity,double_divide(B,identity))),
inference(para_from,[status(thm),theory(equality)],[32,29]),
[iquote('para_from,31.1.1,29.1.1.2.2')] ).
cnf(61,plain,
double_divide(double_divide(A,identity),A) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[34,39]),32,32,32])]),
[iquote('para_into,33.1.1.1.1.1,39.1.1,demod,32,32,32,flip.1')] ).
cnf(63,plain,
double_divide(double_divide(double_divide(double_divide(A,identity),identity),identity),A) = identity,
inference(para_from,[status(thm),theory(equality)],[34,10]),
[iquote('para_from,33.1.1,10.1.1.2')] ).
cnf(68,plain,
double_divide(identity,double_divide(double_divide(A,B),B)) = double_divide(identity,double_divide(identity,double_divide(A,identity))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[34,29]),34]),
[iquote('para_from,33.1.1,29.1.1.2.1.2,demod,34')] ).
cnf(69,plain,
double_divide(A,double_divide(double_divide(double_divide(A,identity),identity),identity)) = identity,
inference(para_into,[status(thm),theory(equality)],[61,34]),
[iquote('para_into,61.1.1.1,33.1.1')] ).
cnf(71,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(A,B),identity)))) = double_divide(B,double_divide(identity,double_divide(A,identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[61,29]),68])]),
[iquote('para_from,61.1.1,29.1.1.2.1,demod,68,flip.1')] ).
cnf(78,plain,
double_divide(double_divide(identity,A),identity) = double_divide(identity,double_divide(identity,A)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[37,34]),34]),
[iquote('para_into,37.1.1.1.2,33.1.1,demod,34')] ).
cnf(80,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[41]),78]),
[iquote('back_demod,41,demod,78')] ).
cnf(81,plain,
double_divide(A,B) = double_divide(B,double_divide(identity,double_divide(A,identity))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[71]),80]),
[iquote('back_demod,71,demod,80')] ).
cnf(82,plain,
double_divide(A,double_divide(identity,double_divide(B,identity))) = double_divide(B,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[81])]),
[iquote('copy,81,flip.1')] ).
cnf(85,plain,
double_divide(A,double_divide(double_divide(B,identity),A)) = double_divide(identity,double_divide(identity,double_divide(B,identity))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[63,29]),34]),
[iquote('para_from,63.1.1,29.1.1.2.1.2,demod,34')] ).
cnf(88,plain,
double_divide(identity,double_divide(identity,double_divide(A,identity))) = double_divide(identity,A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[69,29]),85,85,80])]),
[iquote('para_from,69.1.1,29.1.1.2.1,demod,85,85,80,flip.1')] ).
cnf(89,plain,
double_divide(double_divide(double_divide(double_divide(A,identity),identity),identity),double_divide(double_divide(B,identity),double_divide(A,identity))) = double_divide(identity,B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[69,29]),88]),
[iquote('para_from,69.1.1,29.1.1.2.1.2,demod,88')] ).
cnf(92,plain,
double_divide(A,double_divide(double_divide(B,identity),A)) = double_divide(identity,B),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[85]),88]),
[iquote('back_demod,84,demod,88')] ).
cnf(94,plain,
double_divide(identity,double_divide(identity,A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[80]),88]),
[iquote('back_demod,79,demod,88')] ).
cnf(101,plain,
double_divide(A,double_divide(double_divide(B,double_divide(identity,A)),identity)) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[53]),94]),
[iquote('back_demod,53,demod,94')] ).
cnf(103,plain,
double_divide(double_divide(A,identity),double_divide(double_divide(B,identity),double_divide(double_divide(B,double_divide(A,C)),identity))) = double_divide(C,identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[51]),94,94]),
[iquote('back_demod,51,demod,94,94')] ).
cnf(107,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[29]),94]),
[iquote('back_demod,29,demod,94')] ).
cnf(109,plain,
double_divide(A,identity) = double_divide(identity,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[88]),94]),
[iquote('back_demod,87,demod,94')] ).
cnf(110,plain,
double_divide(double_divide(identity,A),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[78]),94]),
[iquote('back_demod,77,demod,94')] ).
cnf(114,plain,
double_divide(identity,double_divide(A,identity)) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[109,34]),92])]),
[iquote('para_into,109.1.1,33.1.1,demod,92,flip.1')] ).
cnf(115,plain,
double_divide(A,B) = double_divide(B,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[82]),114]),
[iquote('back_demod,82,demod,114')] ).
cnf(118,plain,
double_divide(double_divide(double_divide(double_divide(A,identity),identity),identity),double_divide(B,double_divide(A,identity))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[89,34]),92,114]),
[iquote('para_into,89.1.1.2.1,33.1.1,demod,92,114')] ).
cnf(121,plain,
double_divide(double_divide(double_divide(A,identity),identity),identity) = double_divide(identity,A),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[89,69]),34]),
[iquote('para_into,89.1.1.2,69.1.1,demod,34')] ).
cnf(124,plain,
double_divide(double_divide(identity,A),double_divide(B,double_divide(A,identity))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[118]),121]),
[iquote('back_demod,118,demod,121')] ).
cnf(136,plain,
double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
inference(para_from,[status(thm),theory(equality)],[115,12]),
[iquote('para_from,115.1.1,12.1.1.1.1')] ).
cnf(141,plain,
double_divide(A,double_divide(B,A)) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[92,110]),94]),
[iquote('para_into,91.1.1.2.1,110.1.1,demod,94')] ).
cnf(149,plain,
double_divide(double_divide(A,B),A) = B,
inference(para_into,[status(thm),theory(equality)],[141,141]),
[iquote('para_into,140.1.1.2,140.1.1')] ).
cnf(151,plain,
double_divide(A,double_divide(A,B)) = B,
inference(para_into,[status(thm),theory(equality)],[141,115]),
[iquote('para_into,140.1.1.2,115.1.1')] ).
cnf(152,plain,
double_divide(double_divide(A,B),B) = A,
inference(para_into,[status(thm),theory(equality)],[141,115]),
[iquote('para_into,140.1.1,115.1.1')] ).
cnf(159,plain,
double_divide(double_divide(double_divide(identity,A),B),identity) = double_divide(A,double_divide(B,identity)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[101,149])]),
[iquote('para_into,101.1.1.2.1,148.1.1,flip.1')] ).
cnf(164,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(c3,b3),double_divide(a3,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[136]),159])]),
[iquote('back_demod,136,demod,159,flip.1')] ).
cnf(167,plain,
double_divide(double_divide(identity,A),B) = double_divide(B,double_divide(A,identity)),
inference(para_into,[status(thm),theory(equality)],[124,152]),
[iquote('para_into,124.1.1.2,152.1.1')] ).
cnf(188,plain,
double_divide(double_divide(A,identity),double_divide(double_divide(A,B),identity)) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[103,167]),141,159,151]),
[iquote('para_into,103.1.1.2.1,167.1.1,demod,141,159,151')] ).
cnf(201,plain,
double_divide(double_divide(A,double_divide(B,identity)),identity) = double_divide(B,double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[103,124]),149,188])]),
[iquote('para_into,103.1.1.2.2.1.2,124.1.1,demod,149,188,flip.1')] ).
cnf(210,plain,
double_divide(double_divide(c3,b3),double_divide(a3,identity)) != double_divide(double_divide(b3,a3),double_divide(c3,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[164]),201])]),
[iquote('back_demod,164,demod,201,flip.1')] ).
cnf(376,plain,
double_divide(double_divide(A,double_divide(B,C)),double_divide(B,identity)) = double_divide(C,double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[107,151])]),
[iquote('para_from,107.1.1,150.1.1.2,flip.1')] ).
cnf(1209,plain,
double_divide(double_divide(A,B),double_divide(C,identity)) = double_divide(double_divide(B,C),double_divide(A,identity)),
inference(para_into,[status(thm),theory(equality)],[376,141]),
[iquote('para_into,376.1.1.1.2,140.1.1')] ).
cnf(1210,plain,
$false,
inference(binary,[status(thm)],[1209,210]),
[iquote('binary,1209.1,210.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n009.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 05:21:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.75/1.97 ----- Otter 3.3f, August 2004 -----
% 1.75/1.97 The process was started by sandbox2 on n009.cluster.edu,
% 1.75/1.97 Wed Jul 27 05:21:06 2022
% 1.75/1.97 The command was "./otter". The process ID is 18555.
% 1.75/1.97
% 1.75/1.97 set(prolog_style_variables).
% 1.75/1.97 set(auto).
% 1.75/1.97 dependent: set(auto1).
% 1.75/1.97 dependent: set(process_input).
% 1.75/1.97 dependent: clear(print_kept).
% 1.75/1.97 dependent: clear(print_new_demod).
% 1.75/1.97 dependent: clear(print_back_demod).
% 1.75/1.97 dependent: clear(print_back_sub).
% 1.75/1.97 dependent: set(control_memory).
% 1.75/1.97 dependent: assign(max_mem, 12000).
% 1.75/1.97 dependent: assign(pick_given_ratio, 4).
% 1.75/1.97 dependent: assign(stats_level, 1).
% 1.75/1.97 dependent: assign(max_seconds, 10800).
% 1.75/1.97 clear(print_given).
% 1.75/1.97
% 1.75/1.97 list(usable).
% 1.75/1.97 0 [] A=A.
% 1.75/1.97 0 [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))=B.
% 1.75/1.97 0 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.75/1.97 0 [] inverse(A)=double_divide(A,identity).
% 1.75/1.97 0 [] identity=double_divide(A,inverse(A)).
% 1.75/1.97 0 [] multiply(multiply(a3,b3),c3)!=multiply(a3,multiply(b3,c3)).
% 1.75/1.97 end_of_list.
% 1.75/1.97
% 1.75/1.97 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.75/1.97
% 1.75/1.97 All clauses are units, and equality is present; the
% 1.75/1.97 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.75/1.97
% 1.75/1.97 dependent: set(knuth_bendix).
% 1.75/1.97 dependent: set(anl_eq).
% 1.75/1.97 dependent: set(para_from).
% 1.75/1.97 dependent: set(para_into).
% 1.75/1.97 dependent: clear(para_from_right).
% 1.75/1.97 dependent: clear(para_into_right).
% 1.75/1.97 dependent: set(para_from_vars).
% 1.75/1.97 dependent: set(eq_units_both_ways).
% 1.75/1.97 dependent: set(dynamic_demod_all).
% 1.75/1.97 dependent: set(dynamic_demod).
% 1.75/1.97 dependent: set(order_eq).
% 1.75/1.97 dependent: set(back_demod).
% 1.75/1.97 dependent: set(lrpo).
% 1.75/1.97
% 1.75/1.97 ------------> process usable:
% 1.75/1.97 ** KEPT (pick-wt=11): 1 [] multiply(multiply(a3,b3),c3)!=multiply(a3,multiply(b3,c3)).
% 1.75/1.97
% 1.75/1.97 ------------> process sos:
% 1.75/1.97 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.75/1.97 ** KEPT (pick-wt=17): 3 [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))=B.
% 1.75/1.97 ---> New Demodulator: 4 [new_demod,3] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))=B.
% 1.75/1.97 ** KEPT (pick-wt=9): 5 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.75/1.97 ---> New Demodulator: 6 [new_demod,5] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.75/1.97 ** KEPT (pick-wt=6): 7 [] inverse(A)=double_divide(A,identity).
% 1.75/1.97 ---> New Demodulator: 8 [new_demod,7] inverse(A)=double_divide(A,identity).
% 1.75/1.97 ** KEPT (pick-wt=7): 10 [copy,9,demod,8,flip.1] double_divide(A,double_divide(A,identity))=identity.
% 1.75/1.97 ---> New Demodulator: 11 [new_demod,10] double_divide(A,double_divide(A,identity))=identity.
% 1.75/1.97 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.75/1.97 >>>> Starting back demodulation with 4.
% 1.75/1.97 >>>> Starting back demodulation with 6.
% 1.75/1.97 >> back demodulating 1 with 6.
% 1.75/1.97 >>>> Starting back demodulation with 8.
% 1.75/1.97 >>>> Starting back demodulation with 11.
% 1.75/1.97
% 1.75/1.97 ======= end of input processing =======
% 1.75/1.97
% 1.75/1.97 =========== start of search ===========
% 1.75/1.97
% 1.75/1.97 -------- PROOF --------
% 1.75/1.97
% 1.75/1.97 ----> UNIT CONFLICT at 0.07 sec ----> 1210 [binary,1209.1,210.1] $F.
% 1.75/1.97
% 1.75/1.97 Length of proof is 53. Level of proof is 17.
% 1.75/1.97
% 1.75/1.97 ---------------- PROOF ----------------
% 1.75/1.97 % SZS status Unsatisfiable
% 1.75/1.97 % SZS output start Refutation
% See solution above
% 1.75/1.97 ------------ end of proof -------------
% 1.75/1.97
% 1.75/1.97
% 1.75/1.97 Search stopped by max_proofs option.
% 1.75/1.97
% 1.75/1.97
% 1.75/1.97 Search stopped by max_proofs option.
% 1.75/1.97
% 1.75/1.97 ============ end of search ============
% 1.75/1.97
% 1.75/1.97 -------------- statistics -------------
% 1.75/1.97 clauses given 85
% 1.75/1.97 clauses generated 3638
% 1.75/1.97 clauses kept 707
% 1.75/1.97 clauses forward subsumed 3462
% 1.75/1.97 clauses back subsumed 5
% 1.75/1.97 Kbytes malloced 2929
% 1.75/1.97
% 1.75/1.97 ----------- times (seconds) -----------
% 1.75/1.97 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.75/1.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.97 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.75/1.97
% 1.75/1.97 That finishes the proof of the theorem.
% 1.75/1.97
% 1.75/1.97 Process 18555 finished Wed Jul 27 05:21:07 2022
% 1.75/1.97 Otter interrupted
% 1.75/1.97 PROOF FOUND
%------------------------------------------------------------------------------