TSTP Solution File: GRP567-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 12:57:16 EDT 2022
% Result : Unsatisfiable 1.72s 1.95s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of clauses : 67 ( 67 unt; 0 nHn; 7 RR)
% Number of literals : 67 ( 66 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 133 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('GRP567-1.p',unknown),
[] ).
cnf(3,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = B,
file('GRP567-1.p',unknown),
[] ).
cnf(6,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity),
file('GRP567-1.p',unknown),
[] ).
cnf(8,axiom,
inverse(A) = double_divide(A,identity),
file('GRP567-1.p',unknown),
[] ).
cnf(9,axiom,
identity = double_divide(A,inverse(A)),
file('GRP567-1.p',unknown),
[] ).
cnf(11,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(18,plain,
double_divide(double_divide(A,identity),double_divide(identity,identity)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3,11]),11]),
[iquote('para_into,3.1.1.1.2.1,10.1.1,demod,11')] ).
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(B,C)),double_divide(identity,C))),
inference(para_into,[status(thm),theory(equality)],[3,3]),
[iquote('para_into,3.1.1.1.2.1,3.1.1')] ).
cnf(22,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = 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(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(A,identity),
inference(para_from,[status(thm),theory(equality)],[18,3]),
[iquote('para_from,17.1.1,3.1.1.1.2.1')] ).
cnf(27,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[22]),24]),
[iquote('back_demod,22,demod,24')] ).
cnf(31,plain,
double_divide(double_divide(identity,A),double_divide(identity,identity)) = double_divide(double_divide(A,identity),identity),
inference(para_into,[status(thm),theory(equality)],[24,18]),
[iquote('para_into,23.1.1.1.2,17.1.1')] ).
cnf(33,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)],[24,11]),18])]),
[iquote('para_into,23.1.1.1.2,10.1.1,demod,18,flip.1')] ).
cnf(34,plain,
double_divide(double_divide(A,identity),identity) = double_divide(double_divide(identity,A),identity),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[31])]),33]),
[iquote('copy,31,flip.1,demod,33')] ).
cnf(43,plain,
double_divide(double_divide(A,identity),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[18]),33]),
[iquote('back_demod,17,demod,33')] ).
cnf(46,plain,
double_divide(double_divide(identity,A),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[34])]),43]),
[iquote('copy,34,flip.1,demod,43')] ).
cnf(50,plain,
double_divide(double_divide(A,identity),double_divide(double_divide(B,A),identity)) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[27,43]),33]),
[iquote('para_into,27.1.1.2.1.2,42.1.1,demod,33')] ).
cnf(52,plain,
double_divide(identity,A) = double_divide(A,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[27,33]),33,43]),
[iquote('para_into,27.1.1.2.1.2,32.1.1,demod,33,43')] ).
cnf(53,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,identity)),double_divide(identity,double_divide(double_divide(C,double_divide(A,D)),double_divide(identity,D))))) = double_divide(B,identity),
inference(para_into,[status(thm),theory(equality)],[27,27]),
[iquote('para_into,27.1.1.2.1.2,27.1.1')] ).
cnf(61,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,double_divide(double_divide(C,double_divide(identity,D)),double_divide(identity,D)))),double_divide(C,identity))) = double_divide(B,identity),
inference(para_into,[status(thm),theory(equality)],[27,27]),
[iquote('para_into,27.1.1.2.2,27.1.1')] ).
cnf(63,plain,
double_divide(A,identity) = double_divide(identity,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[52])]),
[iquote('copy,52,flip.1')] ).
cnf(65,plain,
double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,B)) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[46,27]),43])]),
[iquote('para_into,46.1.1.1,27.1.1,demod,43,flip.1')] ).
cnf(66,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[61]),65]),
[iquote('back_demod,61,demod,65')] ).
cnf(85,plain,
double_divide(identity,double_divide(identity,A)) = A,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[63,46])]),
[iquote('para_into,63.1.1,46.1.1,flip.1')] ).
cnf(87,plain,
double_divide(identity,double_divide(A,identity)) = A,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[63,43])]),
[iquote('para_into,63.1.1,42.1.1,flip.1')] ).
cnf(95,plain,
double_divide(double_divide(A,B),A) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[50,50]),43,43,43]),
[iquote('para_into,50.1.1.2.1,50.1.1,demod,43,43,43')] ).
cnf(98,plain,
double_divide(double_divide(A,identity),double_divide(identity,double_divide(B,A))) = double_divide(B,identity),
inference(para_into,[status(thm),theory(equality)],[50,63]),
[iquote('para_into,50.1.1.2,63.1.1')] ).
cnf(100,plain,
double_divide(double_divide(A,identity),double_divide(double_divide(B,double_divide(C,identity)),double_divide(C,A))) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[50,27]),87]),
[iquote('para_from,50.1.1,27.1.1.2.1.2,demod,87')] ).
cnf(104,plain,
double_divide(identity,double_divide(double_divide(A,B),B)) = double_divide(A,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[85,27]),85]),
[iquote('para_from,84.1.1,27.1.1.2.1.2,demod,85')] ).
cnf(132,plain,
double_divide(double_divide(A,B),double_divide(double_divide(C,B),double_divide(identity,A))) = double_divide(C,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[53,50]),43,33,43]),
[iquote('para_into,53.1.1.2.2.2.1,50.1.1,demod,43,33,43')] ).
cnf(150,plain,
double_divide(double_divide(A,double_divide(B,identity)),double_divide(identity,B)) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[53,85]),87,65])]),
[iquote('para_from,53.1.1,84.1.1.2,demod,87,65,flip.1')] ).
cnf(156,plain,
double_divide(A,double_divide(B,A)) = B,
inference(para_into,[status(thm),theory(equality)],[95,95]),
[iquote('para_into,94.1.1.1,94.1.1')] ).
cnf(158,plain,
double_divide(double_divide(A,double_divide(B,identity)),double_divide(identity,double_divide(double_divide(B,double_divide(C,D)),double_divide(identity,D)))) = double_divide(double_divide(A,identity),C),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[95,53])]),
[iquote('para_into,94.1.1.1,53.1.1,flip.1')] ).
cnf(162,plain,
double_divide(double_divide(A,double_divide(B,C)),double_divide(identity,C)) = double_divide(double_divide(A,identity),B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[95,27])]),
[iquote('para_into,94.1.1.1,27.1.1,flip.1')] ).
cnf(170,plain,
double_divide(double_divide(A,double_divide(B,identity)),double_divide(identity,double_divide(double_divide(B,identity),C))) = double_divide(double_divide(A,identity),C),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[158]),162]),
[iquote('back_demod,158,demod,162')] ).
cnf(194,plain,
double_divide(double_divide(A,B),identity) = double_divide(identity,double_divide(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[104,95])]),
[iquote('para_into,104.1.1.2.1,94.1.1,flip.1')] ).
cnf(218,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(a3,b3)),c3)) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[12]),194,194,194,194])]),
[iquote('back_demod,12,demod,194,194,194,194,flip.1')] ).
cnf(225,plain,
double_divide(double_divide(A,B),B) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[104,95]),194,85])]),
[iquote('para_from,104.1.1,94.1.1.1,demod,194,85,flip.1')] ).
cnf(228,plain,
double_divide(A,double_divide(A,B)) = B,
inference(para_into,[status(thm),theory(equality)],[225,156]),
[iquote('para_into,225.1.1.1,156.1.1')] ).
cnf(229,plain,
double_divide(A,B) = double_divide(B,A),
inference(para_into,[status(thm),theory(equality)],[225,95]),
[iquote('para_into,225.1.1.1,94.1.1')] ).
cnf(238,plain,
double_divide(A,double_divide(B,double_divide(C,identity))) = double_divide(identity,double_divide(double_divide(A,C),B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[66,225]),194]),
[iquote('para_into,66.1.1.2.1,225.1.1,demod,194')] ).
cnf(246,plain,
double_divide(double_divide(double_divide(A,identity),B),double_divide(identity,A)) = B,
inference(para_into,[status(thm),theory(equality)],[150,229]),
[iquote('para_into,150.1.1.1,229.1.1')] ).
cnf(248,plain,
double_divide(A,double_divide(identity,B)) = double_divide(A,double_divide(B,identity)),
inference(para_into,[status(thm),theory(equality)],[150,225]),
[iquote('para_into,150.1.1.1,225.1.1')] ).
cnf(254,plain,
double_divide(double_divide(identity,A),B) = double_divide(B,double_divide(A,identity)),
inference(para_from,[status(thm),theory(equality)],[150,156]),
[iquote('para_from,150.1.1,156.1.1.2')] ).
cnf(255,plain,
double_divide(A,double_divide(B,identity)) = double_divide(double_divide(identity,B),A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[254])]),
[iquote('copy,254,flip.1')] ).
cnf(303,plain,
double_divide(double_divide(identity,A),B) = double_divide(double_divide(A,identity),B),
inference(para_from,[status(thm),theory(equality)],[246,156]),
[iquote('para_from,246.1.1,156.1.1.2')] ).
cnf(304,plain,
double_divide(double_divide(A,identity),B) = double_divide(double_divide(identity,A),B),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[303])]),
[iquote('copy,303,flip.1')] ).
cnf(307,plain,
double_divide(identity,double_divide(double_divide(A,identity),B)) = double_divide(identity,double_divide(double_divide(identity,A),B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[248,194]),194]),
[iquote('para_from,248.1.1,193.1.1.1,demod,194')] ).
cnf(308,plain,
double_divide(identity,double_divide(double_divide(identity,A),B)) = double_divide(identity,double_divide(double_divide(A,identity),B)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[307])]),
[iquote('copy,307,flip.1')] ).
cnf(324,plain,
double_divide(double_divide(A,identity),double_divide(identity,B)) = double_divide(identity,double_divide(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[98,225]),194]),
[iquote('para_into,98.1.1.2.2,225.1.1,demod,194')] ).
cnf(326,plain,
double_divide(identity,double_divide(double_divide(A,identity),B)) = double_divide(A,double_divide(identity,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[98,150]),95,194])]),
[iquote('para_into,98.1.1.2.2,150.1.1,demod,95,194,flip.1')] ).
cnf(334,plain,
double_divide(identity,double_divide(double_divide(identity,A),B)) = double_divide(A,double_divide(identity,B)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[308]),326]),
[iquote('back_demod,308,demod,326')] ).
cnf(345,plain,
double_divide(double_divide(A,double_divide(B,identity)),double_divide(B,double_divide(identity,C))) = double_divide(double_divide(A,identity),C),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[170]),326]),
[iquote('back_demod,170,demod,326')] ).
cnf(349,plain,
double_divide(double_divide(a3,b3),double_divide(identity,c3)) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[218]),334]),
[iquote('back_demod,218,demod,334')] ).
cnf(417,plain,
double_divide(double_divide(A,double_divide(B,identity)),double_divide(B,C)) = double_divide(identity,double_divide(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[100,246]),324])]),
[iquote('para_from,100.1.1,246.1.1.1,demod,324,flip.1')] ).
cnf(419,plain,
double_divide(double_divide(A,identity),B) = double_divide(identity,double_divide(A,double_divide(identity,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[345]),417])]),
[iquote('back_demod,345,demod,417,flip.1')] ).
cnf(451,plain,
double_divide(double_divide(identity,A),B) = double_divide(identity,double_divide(A,double_divide(identity,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[304]),419])]),
[iquote('back_demod,304,demod,419,flip.1')] ).
cnf(484,plain,
double_divide(A,double_divide(B,identity)) = double_divide(identity,double_divide(B,double_divide(identity,A))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[255]),451]),
[iquote('back_demod,255,demod,451')] ).
cnf(605,plain,
double_divide(double_divide(A,B),double_divide(identity,double_divide(double_divide(C,double_divide(identity,B)),A))) = C,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[132,451]),451,228,95]),
[iquote('para_into,132.1.1.2.1,450.1.1,demod,451,228,95')] ).
cnf(827,plain,
double_divide(A,double_divide(B,double_divide(identity,double_divide(C,D)))) = double_divide(identity,double_divide(double_divide(A,double_divide(D,C)),B)),
inference(para_into,[status(thm),theory(equality)],[238,194]),
[iquote('para_into,238.1.1.2.2,193.1.1')] ).
cnf(830,plain,
double_divide(identity,double_divide(double_divide(A,B),C)) = double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,C)))),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[238,484])]),
[iquote('para_into,238.1.1.2,484.1.1,flip.1')] ).
cnf(836,plain,
double_divide(A,double_divide(B,double_divide(identity,double_divide(C,D)))) = double_divide(A,double_divide(D,double_divide(identity,double_divide(C,B)))),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[827])]),830,830,228]),
[iquote('copy,827,flip.1,demod,830,830,228')] ).
cnf(853,plain,
double_divide(double_divide(A,B),double_divide(C,double_divide(B,A))) = C,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[605]),830,451,228,228]),
[iquote('back_demod,605,demod,830,451,228,228')] ).
cnf(918,plain,
double_divide(double_divide(A,B),C) = double_divide(C,double_divide(B,A)),
inference(para_into,[status(thm),theory(equality)],[853,225]),
[iquote('para_into,853.1.1.2,225.1.1')] ).
cnf(1143,plain,
double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[349,918]),451])]),
[iquote('para_into,349.1.1,918.1.1,demod,451,flip.1')] ).
cnf(1144,plain,
$false,
inference(binary,[status(thm)],[1143,836]),
[iquote('binary,1143.1,836.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 05:25:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.72/1.95 ----- Otter 3.3f, August 2004 -----
% 1.72/1.95 The process was started by sandbox on n027.cluster.edu,
% 1.72/1.95 Wed Jul 27 05:25:06 2022
% 1.72/1.95 The command was "./otter". The process ID is 22440.
% 1.72/1.95
% 1.72/1.95 set(prolog_style_variables).
% 1.72/1.95 set(auto).
% 1.72/1.95 dependent: set(auto1).
% 1.72/1.95 dependent: set(process_input).
% 1.72/1.95 dependent: clear(print_kept).
% 1.72/1.95 dependent: clear(print_new_demod).
% 1.72/1.95 dependent: clear(print_back_demod).
% 1.72/1.95 dependent: clear(print_back_sub).
% 1.72/1.95 dependent: set(control_memory).
% 1.72/1.95 dependent: assign(max_mem, 12000).
% 1.72/1.95 dependent: assign(pick_given_ratio, 4).
% 1.72/1.95 dependent: assign(stats_level, 1).
% 1.72/1.95 dependent: assign(max_seconds, 10800).
% 1.72/1.95 clear(print_given).
% 1.72/1.95
% 1.72/1.95 list(usable).
% 1.72/1.95 0 [] A=A.
% 1.72/1.95 0 [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))=B.
% 1.72/1.95 0 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.72/1.95 0 [] inverse(A)=double_divide(A,identity).
% 1.72/1.95 0 [] identity=double_divide(A,inverse(A)).
% 1.72/1.95 0 [] multiply(multiply(a3,b3),c3)!=multiply(a3,multiply(b3,c3)).
% 1.72/1.95 end_of_list.
% 1.72/1.95
% 1.72/1.95 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.72/1.95
% 1.72/1.95 All clauses are units, and equality is present; the
% 1.72/1.95 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.72/1.95
% 1.72/1.95 dependent: set(knuth_bendix).
% 1.72/1.95 dependent: set(anl_eq).
% 1.72/1.95 dependent: set(para_from).
% 1.72/1.95 dependent: set(para_into).
% 1.72/1.95 dependent: clear(para_from_right).
% 1.72/1.95 dependent: clear(para_into_right).
% 1.72/1.95 dependent: set(para_from_vars).
% 1.72/1.95 dependent: set(eq_units_both_ways).
% 1.72/1.95 dependent: set(dynamic_demod_all).
% 1.72/1.95 dependent: set(dynamic_demod).
% 1.72/1.95 dependent: set(order_eq).
% 1.72/1.95 dependent: set(back_demod).
% 1.72/1.95 dependent: set(lrpo).
% 1.72/1.95
% 1.72/1.95 ------------> process usable:
% 1.72/1.95 ** KEPT (pick-wt=11): 1 [] multiply(multiply(a3,b3),c3)!=multiply(a3,multiply(b3,c3)).
% 1.72/1.95
% 1.72/1.95 ------------> process sos:
% 1.72/1.95 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.72/1.95 ** KEPT (pick-wt=17): 3 [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))=B.
% 1.72/1.95 ---> New Demodulator: 4 [new_demod,3] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))=B.
% 1.72/1.95 ** KEPT (pick-wt=9): 5 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.72/1.95 ---> New Demodulator: 6 [new_demod,5] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.72/1.95 ** KEPT (pick-wt=6): 7 [] inverse(A)=double_divide(A,identity).
% 1.72/1.95 ---> New Demodulator: 8 [new_demod,7] inverse(A)=double_divide(A,identity).
% 1.72/1.95 ** KEPT (pick-wt=7): 10 [copy,9,demod,8,flip.1] double_divide(A,double_divide(A,identity))=identity.
% 1.72/1.95 ---> New Demodulator: 11 [new_demod,10] double_divide(A,double_divide(A,identity))=identity.
% 1.72/1.95 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.72/1.95 >>>> Starting back demodulation with 4.
% 1.72/1.95 >>>> Starting back demodulation with 6.
% 1.72/1.95 >> back demodulating 1 with 6.
% 1.72/1.95 >>>> Starting back demodulation with 8.
% 1.72/1.95 >>>> Starting back demodulation with 11.
% 1.72/1.95
% 1.72/1.95 ======= end of input processing =======
% 1.72/1.95
% 1.72/1.95 =========== start of search ===========
% 1.72/1.95
% 1.72/1.95 -------- PROOF --------
% 1.72/1.95
% 1.72/1.95 ----> UNIT CONFLICT at 0.07 sec ----> 1144 [binary,1143.1,836.1] $F.
% 1.72/1.95
% 1.72/1.95 Length of proof is 61. Level of proof is 21.
% 1.72/1.95
% 1.72/1.95 ---------------- PROOF ----------------
% 1.72/1.95 % SZS status Unsatisfiable
% 1.72/1.95 % SZS output start Refutation
% See solution above
% 1.72/1.95 ------------ end of proof -------------
% 1.72/1.95
% 1.72/1.95
% 1.72/1.95 Search stopped by max_proofs option.
% 1.72/1.95
% 1.72/1.95
% 1.72/1.95 Search stopped by max_proofs option.
% 1.72/1.95
% 1.72/1.95 ============ end of search ============
% 1.72/1.95
% 1.72/1.95 -------------- statistics -------------
% 1.72/1.95 clauses given 76
% 1.72/1.95 clauses generated 3393
% 1.72/1.95 clauses kept 744
% 1.72/1.95 clauses forward subsumed 3427
% 1.72/1.95 clauses back subsumed 13
% 1.72/1.95 Kbytes malloced 1953
% 1.72/1.95
% 1.72/1.95 ----------- times (seconds) -----------
% 1.72/1.95 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.72/1.95 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.95 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.72/1.95
% 1.72/1.95 That finishes the proof of the theorem.
% 1.72/1.95
% 1.72/1.95 Process 22440 finished Wed Jul 27 05:25:08 2022
% 1.72/1.95 Otter interrupted
% 1.72/1.95 PROOF FOUND
%------------------------------------------------------------------------------