TSTP Solution File: GRP103-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP103-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 12:56:04 EDT 2022
% Result : Unsatisfiable 3.75s 3.99s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of clauses : 127 ( 118 unt; 0 nHn; 11 RR)
% Number of literals : 154 ( 153 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 256 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('GRP103-1.p',unknown),
[] ).
cnf(2,plain,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(b4,a4) != multiply(a4,b4) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.4')] ).
cnf(3,axiom,
A = A,
file('GRP103-1.p',unknown),
[] ).
cnf(4,axiom,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C,
file('GRP103-1.p',unknown),
[] ).
cnf(7,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity),
file('GRP103-1.p',unknown),
[] ).
cnf(9,axiom,
inverse(A) = double_divide(A,identity),
file('GRP103-1.p',unknown),
[] ).
cnf(10,axiom,
identity = double_divide(A,inverse(A)),
file('GRP103-1.p',unknown),
[] ).
cnf(12,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)],[10]),9])]),
[iquote('copy,10,demod,9,flip.1')] ).
cnf(13,plain,
( double_divide(identity,identity) != identity
| double_divide(double_divide(a2,identity),identity) != a2
| 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)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2]),9,7,12,7,7,7,7,7,7,7])])]),
[iquote('back_demod,2,demod,9,7,12,7,7,7,7,7,7,7,flip.3,flip.4')] ).
cnf(14,plain,
double_divide(double_divide(A,double_divide(identity,double_divide(B,double_divide(double_divide(identity,identity),A)))),double_divide(identity,identity)) = B,
inference(para_into,[status(thm),theory(equality)],[4,12]),
[iquote('para_into,4.1.1.1.2.1,11.1.1')] ).
cnf(16,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),double_divide(B,identity))),double_divide(identity,identity)) = B,
inference(para_into,[status(thm),theory(equality)],[4,12]),
[iquote('para_into,4.1.1.1.2.2.2,11.1.1')] ).
cnf(18,plain,
double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A))))),double_divide(D,C))),double_divide(identity,identity)) = D,
inference(para_into,[status(thm),theory(equality)],[4,4]),
[iquote('para_into,4.1.1.1.2.2.2,4.1.1')] ).
cnf(20,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),double_divide(identity,identity)) = A,
inference(para_into,[status(thm),theory(equality)],[4,12]),
[iquote('para_into,4.1.1.1.2.2,11.1.1')] ).
cnf(22,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),A)),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),
inference(para_into,[status(thm),theory(equality)],[4,4]),
[iquote('para_into,4.1.1.1.2.2,4.1.1')] ).
cnf(23,plain,
double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),C)),double_divide(identity,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[22])]),
[iquote('copy,22,flip.1')] ).
cnf(25,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)],[20,12]),12,12])]),
[iquote('para_into,20.1.1.1.2.1,11.1.1,demod,12,12,flip.1')] ).
cnf(26,plain,
double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(identity,C)),identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[23]),25,25]),
[iquote('back_demod,23,demod,25,25')] ).
cnf(27,plain,
double_divide(double_divide(identity,double_divide(identity,A)),identity) = double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[22]),25,25]),
[iquote('back_demod,22,demod,25,25')] ).
cnf(29,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[20]),25]),
[iquote('back_demod,20,demod,25')] ).
cnf(30,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A))))),double_divide(D,C))),identity) = D,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[18]),25,25]),
[iquote('back_demod,18,demod,25,25')] ).
cnf(32,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),double_divide(B,identity))),identity) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[16]),25]),
[iquote('back_demod,16,demod,25')] ).
cnf(34,plain,
double_divide(double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,A)))),identity) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[14]),25,25]),
[iquote('back_demod,14,demod,25,25')] ).
cnf(36,plain,
( identity != identity
| double_divide(double_divide(a2,identity),identity) != a2
| 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)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[13]),25]),
[iquote('back_demod,13,demod,25')] ).
cnf(39,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),A) = identity,
inference(para_from,[status(thm),theory(equality)],[29,12]),
[iquote('para_from,28.1.1,11.1.1.2')] ).
cnf(43,plain,
double_divide(A,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,A),identity))),double_divide(B,identity))) = double_divide(double_divide(identity,double_divide(identity,B)),identity),
inference(para_into,[status(thm),theory(equality)],[26,39]),
[iquote('para_into,26.1.1.2.2.2,39.1.1')] ).
cnf(47,plain,
double_divide(double_divide(identity,double_divide(identity,A)),identity) = double_divide(identity,double_divide(identity,double_divide(A,identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[26,25]),25])]),
[iquote('para_into,26.1.1.2.2.2,24.1.1,demod,25,flip.1')] ).
cnf(49,plain,
double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),double_divide(B,identity))) = double_divide(identity,double_divide(identity,double_divide(B,identity))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[26,12]),47]),
[iquote('para_into,26.1.1.2.2.2,11.1.1,demod,47')] ).
cnf(50,plain,
double_divide(A,double_divide(double_divide(identity,B),identity)) = double_divide(identity,double_divide(identity,double_divide(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[26,39]),47,29]),
[iquote('para_into,26.1.1.2.2,39.1.1,demod,47,29')] ).
cnf(51,plain,
double_divide(double_divide(A,double_divide(B,C)),double_divide(double_divide(identity,double_divide(identity,B)),double_divide(identity,double_divide(identity,double_divide(A,identity))))) = double_divide(identity,double_divide(identity,double_divide(C,identity))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[26,26]),47,47]),
[iquote('para_into,26.1.1.2.2,26.1.1,demod,47,47')] ).
cnf(53,plain,
double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(identity,double_divide(B,identity)))) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,A),identity))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[26,26]),47,47]),
[iquote('para_into,26.1.1.2,26.1.1,demod,47,47')] ).
cnf(57,plain,
double_divide(A,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,A),identity))),double_divide(B,identity))) = double_divide(identity,double_divide(identity,double_divide(B,identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[43])]),47])]),
[iquote('copy,43,flip.1,demod,47,flip.1')] ).
cnf(65,plain,
double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(identity,double_divide(identity,double_divide(C,identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[27]),47])]),
[iquote('back_demod,27,demod,47,flip.1')] ).
cnf(66,plain,
double_divide(identity,double_divide(identity,double_divide(double_divide(A,identity),identity))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[32]),49,47]),
[iquote('back_demod,32,demod,49,47')] ).
cnf(69,plain,
double_divide(identity,double_divide(identity,double_divide(double_divide(identity,A),identity))) = double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(identity,double_divide(B,identity)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[53])]),
[iquote('copy,53,flip.1')] ).
cnf(70,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),double_divide(B,A))),identity) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[30]),65]),
[iquote('back_demod,30,demod,65')] ).
cnf(85,plain,
double_divide(double_divide(A,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[34,39]),25,47]),
[iquote('para_into,34.1.1.1.2.2,39.1.1,demod,25,47')] ).
cnf(97,plain,
double_divide(identity,double_divide(identity,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)],[66]),85]),
[iquote('back_demod,66,demod,85')] ).
cnf(98,plain,
( identity != identity
| double_divide(identity,double_divide(identity,double_divide(identity,double_divide(a2,identity)))) != a2
| 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)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[36]),85]),
[iquote('back_demod,36,demod,85')] ).
cnf(101,plain,
double_divide(double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,A)))),B) = identity,
inference(para_from,[status(thm),theory(equality)],[34,12]),
[iquote('para_from,34.1.1,11.1.1.2')] ).
cnf(105,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),double_divide(identity,A)) = identity,
inference(para_from,[status(thm),theory(equality)],[47,39]),
[iquote('para_from,46.1.1,39.1.1.1.2')] ).
cnf(111,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(A,identity))),A) = identity,
inference(para_into,[status(thm),theory(equality)],[101,25]),
[iquote('para_into,101.1.1.1.2.2.2,24.1.1')] ).
cnf(130,plain,
double_divide(identity,double_divide(identity,double_divide(double_divide(identity,A),identity))) = double_divide(identity,double_divide(identity,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)],[111,34]),25,85])]),
[iquote('para_from,111.1.1,34.1.1.1.2.2,demod,25,85,flip.1')] ).
cnf(131,plain,
double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(identity,double_divide(B,identity)))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[69]),130])]),
[iquote('back_demod,69,demod,130,flip.1')] ).
cnf(135,plain,
double_divide(A,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),double_divide(B,identity))) = double_divide(identity,double_divide(identity,double_divide(B,identity))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[57]),130]),
[iquote('back_demod,57,demod,130')] ).
cnf(143,plain,
double_divide(A,identity) = double_divide(identity,double_divide(identity,double_divide(identity,A))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[50,25]),25]),
[iquote('para_into,50.1.1.2.1,24.1.1,demod,25')] ).
cnf(146,plain,
double_divide(identity,double_divide(identity,double_divide(A,double_divide(identity,A)))) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[50,111]),85,130,97])]),
[iquote('para_into,50.1.1,111.1.1,demod,85,130,97,flip.1')] ).
cnf(152,plain,
double_divide(identity,double_divide(identity,double_divide(identity,A))) = double_divide(A,identity),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[143])]),
[iquote('copy,143,flip.1')] ).
cnf(173,plain,
double_divide(double_divide(A,identity),double_divide(identity,double_divide(identity,double_divide(B,double_divide(identity,A))))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(B,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[49,50]),130]),
[iquote('para_into,48.1.1.2,50.1.1,demod,130')] ).
cnf(202,plain,
double_divide(double_divide(identity,A),identity) = double_divide(identity,double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[152,152])]),
[iquote('para_into,152.1.1.2,152.1.1,flip.1')] ).
cnf(203,plain,
double_divide(double_divide(A,double_divide(identity,A)),identity) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[152,146]),25])]),
[iquote('para_into,152.1.1.2,146.1.1,demod,25,flip.1')] ).
cnf(205,plain,
double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),double_divide(B,A)),identity)) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[70]),202]),
[iquote('back_demod,70,demod,202')] ).
cnf(208,plain,
double_divide(A,double_divide(identity,double_divide(B,identity))) = double_divide(identity,double_divide(identity,double_divide(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[50]),202]),
[iquote('back_demod,50,demod,202')] ).
cnf(217,plain,
double_divide(identity,double_divide(A,double_divide(identity,A))) = identity,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[203,111]),25,25]),
[iquote('para_from,203.1.1,111.1.1.1.2.2,demod,25,25')] ).
cnf(219,plain,
double_divide(double_divide(A,double_divide(B,identity)),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity))))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(B,identity))))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[51,152]),25,25,202,202]),
[iquote('para_into,51.1.1.1.2,152.1.1,demod,25,25,202,202')] ).
cnf(229,plain,
double_divide(double_divide(A,double_divide(identity,double_divide(identity,double_divide(B,identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(C,double_divide(D,B)))),double_divide(identity,double_divide(identity,double_divide(A,identity))))) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,D)),double_divide(identity,double_divide(identity,double_divide(C,identity)))),identity))),
inference(para_into,[status(thm),theory(equality)],[51,51]),
[iquote('para_into,51.1.1.1.2,51.1.1')] ).
cnf(243,plain,
double_divide(double_divide(double_divide(A,double_divide(identity,A)),double_divide(B,C)),double_divide(identity,double_divide(identity,double_divide(B,identity)))) = double_divide(identity,double_divide(identity,double_divide(C,identity))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[51,203]),25,25,202,202]),
[iquote('para_into,51.1.1.2.2.2.2,203.1.1,demod,25,25,202,202')] ).
cnf(245,plain,
double_divide(double_divide(A,double_divide(B,C)),double_divide(double_divide(identity,double_divide(identity,B)),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,A))))))) = double_divide(identity,double_divide(identity,double_divide(C,identity))),
inference(para_into,[status(thm),theory(equality)],[51,143]),
[iquote('para_into,51.1.1.2.2.2.2,143.1.1')] ).
cnf(253,plain,
double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,A)),double_divide(identity,double_divide(identity,double_divide(B,identity)))),identity))) = double_divide(double_divide(C,double_divide(identity,double_divide(identity,double_divide(D,identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(B,double_divide(A,D)))),double_divide(identity,double_divide(identity,double_divide(C,identity))))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[229])]),
[iquote('copy,229,flip.1')] ).
cnf(260,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[217,34]),85]),
[iquote('para_from,217.1.1,34.1.1.1.2,demod,85')] ).
cnf(263,plain,
double_divide(double_divide(double_divide(A,double_divide(identity,A)),double_divide(identity,double_divide(B,identity))),identity) = B,
inference(para_from,[status(thm),theory(equality)],[217,34]),
[iquote('para_from,217.1.1,34.1.1.1.2.2.2')] ).
cnf(269,plain,
double_divide(double_divide(A,double_divide(B,identity)),A) = double_divide(identity,B),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[219]),260,260]),
[iquote('back_demod,219,demod,260,260')] ).
cnf(271,plain,
double_divide(identity,double_divide(double_divide(A,double_divide(B,A)),identity)) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[205]),260]),
[iquote('back_demod,205,demod,260')] ).
cnf(273,plain,
double_divide(double_divide(A,identity),double_divide(identity,double_divide(identity,double_divide(B,double_divide(identity,A))))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[173]),260]),
[iquote('back_demod,173,demod,260')] ).
cnf(277,plain,
double_divide(A,double_divide(A,double_divide(B,identity))) = double_divide(identity,double_divide(identity,double_divide(B,identity))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[135]),260]),
[iquote('back_demod,135,demod,260')] ).
cnf(280,plain,
double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(identity,double_divide(B,identity)))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[131]),260]),
[iquote('back_demod,131,demod,260')] ).
cnf(289,plain,
double_divide(A,double_divide(identity,A)) = identity,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[105]),260]),
[iquote('back_demod,105,demod,260')] ).
cnf(290,plain,
( identity != identity
| a2 != a2
| 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)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[98]),260]),
[iquote('back_demod,98,demod,260')] ).
cnf(292,plain,
double_divide(identity,double_divide(identity,A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[97]),260]),
[iquote('back_demod,96,demod,260')] ).
cnf(296,plain,
double_divide(A,double_divide(A,double_divide(B,identity))) = double_divide(B,identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[277])]),292])]),
[iquote('copy,277,flip.1,demod,292,flip.1')] ).
cnf(301,plain,
double_divide(double_divide(A,identity),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[263]),289,296]),
[iquote('back_demod,263,demod,289,296')] ).
cnf(303,plain,
double_divide(double_divide(identity,double_divide(A,B)),double_divide(A,identity)) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[243]),289,296,296]),
[iquote('back_demod,243,demod,289,296,296')] ).
cnf(305,plain,
double_divide(double_divide(A,double_divide(identity,B)),double_divide(B,identity)) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[280]),296]),
[iquote('back_demod,280,demod,296')] ).
cnf(310,plain,
double_divide(double_divide(A,identity),double_divide(B,double_divide(identity,A))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[273]),292]),
[iquote('back_demod,273,demod,292')] ).
cnf(314,plain,
double_divide(identity,double_divide(A,identity)) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[260]),296]),
[iquote('back_demod,259,demod,296')] ).
cnf(317,plain,
double_divide(double_divide(A,double_divide(identity,B)),double_divide(double_divide(C,double_divide(D,B)),double_divide(identity,A))) = double_divide(identity,double_divide(D,double_divide(identity,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[253]),292,314,314,314,292,314])]),
[iquote('back_demod,253,demod,292,314,314,314,292,314,flip.1')] ).
cnf(325,plain,
double_divide(double_divide(A,double_divide(B,C)),double_divide(B,double_divide(identity,A))) = double_divide(identity,C),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[245]),292,292,292,314]),
[iquote('back_demod,245,demod,292,292,292,314')] ).
cnf(339,plain,
double_divide(A,B) = double_divide(B,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[208]),314,292]),
[iquote('back_demod,208,demod,314,292')] ).
cnf(355,plain,
double_divide(A,double_divide(B,A)) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[271]),314]),
[iquote('back_demod,271,demod,314')] ).
cnf(364,plain,
double_divide(double_divide(A,B),A) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[301,269]),355]),
[iquote('para_from,301.1.1,269.1.1.1.2,demod,355')] ).
cnf(367,plain,
double_divide(A,double_divide(A,B)) = B,
inference(para_into,[status(thm),theory(equality)],[355,339]),
[iquote('para_into,354.1.1.2,339.1.1')] ).
cnf(368,plain,
double_divide(double_divide(A,B),B) = A,
inference(para_into,[status(thm),theory(equality)],[355,339]),
[iquote('para_into,354.1.1,339.1.1')] ).
cnf(373,plain,
( identity != identity
| a2 != a2
| double_divide(identity,double_divide(double_divide(double_divide(c3,b3),identity),a3)) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(para_into,[status(thm),theory(equality)],[290,339]),
[iquote('para_into,290.3.1,339.1.1')] ).
cnf(376,plain,
double_divide(A,double_divide(B,identity)) = double_divide(A,double_divide(identity,B)),
inference(para_into,[status(thm),theory(equality)],[305,368]),
[iquote('para_into,305.1.1.1,368.1.1')] ).
cnf(377,plain,
double_divide(A,double_divide(B,identity)) = double_divide(double_divide(identity,B),A),
inference(para_into,[status(thm),theory(equality)],[305,364]),
[iquote('para_into,305.1.1.1,364.1.1')] ).
cnf(380,plain,
double_divide(A,double_divide(identity,B)) = double_divide(A,double_divide(B,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[376])]),
[iquote('copy,376,flip.1')] ).
cnf(381,plain,
double_divide(double_divide(identity,A),B) = double_divide(B,double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[377])]),
[iquote('copy,377,flip.1')] ).
cnf(384,plain,
double_divide(double_divide(A,identity),B) = double_divide(double_divide(identity,A),B),
inference(para_into,[status(thm),theory(equality)],[310,364]),
[iquote('para_into,309.1.1.2,364.1.1')] ).
cnf(385,plain,
double_divide(double_divide(identity,A),B) = double_divide(double_divide(A,identity),B),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[384])]),
[iquote('copy,384,flip.1')] ).
cnf(418,plain,
double_divide(double_divide(identity,A),double_divide(B,identity)) = double_divide(double_divide(B,A),identity),
inference(para_into,[status(thm),theory(equality)],[303,367]),
[iquote('para_into,303.1.1.1.2,366.1.1')] ).
cnf(434,plain,
double_divide(double_divide(A,B),identity) = double_divide(double_divide(identity,B),double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[418])]),
[iquote('copy,418,flip.1')] ).
cnf(443,plain,
double_divide(double_divide(A,identity),double_divide(B,identity)) = double_divide(identity,double_divide(B,A)),
inference(para_from,[status(thm),theory(equality)],[303,368]),
[iquote('para_from,303.1.1,368.1.1.1')] ).
cnf(445,plain,
double_divide(double_divide(A,identity),double_divide(B,identity)) = double_divide(identity,double_divide(A,B)),
inference(para_from,[status(thm),theory(equality)],[303,355]),
[iquote('para_from,303.1.1,354.1.1.2')] ).
cnf(446,plain,
double_divide(identity,double_divide(A,B)) = double_divide(identity,double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[443])]),445]),
[iquote('copy,443,flip.1,demod,445')] ).
cnf(466,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(para_into,[status(thm),theory(equality)],[317,25]),310]),
[iquote('para_into,317.1.1.1.2,24.1.1,demod,310')] ).
cnf(479,plain,
double_divide(identity,double_divide(double_divide(A,double_divide(B,C)),double_divide(identity,C))) = double_divide(identity,double_divide(B,double_divide(identity,A))),
inference(para_into,[status(thm),theory(equality)],[317,355]),
[iquote('para_into,317.1.1.1,354.1.1')] ).
cnf(515,plain,
double_divide(double_divide(identity,A),B) = double_divide(identity,double_divide(A,double_divide(identity,B))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[317,377]),25,310]),
[iquote('para_into,317.1.1.2.1,377.1.1,demod,25,310')] ).
cnf(531,plain,
double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(A,double_divide(C,B)))) = C,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[317,381]),515,355,25,355]),
[iquote('para_into,317.1.1.2,381.1.1,demod,515,355,25,355')] ).
cnf(533,plain,
double_divide(A,double_divide(identity,double_divide(B,double_divide(C,A)))) = double_divide(identity,double_divide(C,double_divide(identity,B))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[317,377]),367,25]),
[iquote('para_into,317.1.1.2,377.1.1,demod,367,25')] ).
cnf(540,plain,
double_divide(identity,double_divide(A,double_divide(identity,B))) = double_divide(B,double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[466])]),
[iquote('copy,466,flip.1')] ).
cnf(560,plain,
double_divide(double_divide(A,B),identity) = double_divide(identity,double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[434]),515,355]),
[iquote('back_demod,434,demod,515,355')] ).
cnf(566,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)],[385]),515])]),
[iquote('back_demod,385,demod,515,flip.1')] ).
cnf(591,plain,
( identity != identity
| a2 != a2
| double_divide(double_divide(b3,c3),double_divide(identity,a3)) != double_divide(double_divide(a3,b3),double_divide(identity,c3))
| double_divide(identity,double_divide(b4,a4)) != double_divide(identity,double_divide(a4,b4)) ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[373]),560,515,367,560,560,515,367,560,560])]),
[iquote('back_demod,373,demod,560,515,367,560,560,515,367,560,560,flip.4')] ).
cnf(632,plain,
double_divide(double_divide(A,B),double_divide(C,double_divide(identity,A))) = double_divide(identity,double_divide(B,C)),
inference(para_into,[status(thm),theory(equality)],[325,355]),
[iquote('para_into,325.1.1.1.2,354.1.1')] ).
cnf(789,plain,
double_divide(identity,double_divide(A,double_divide(B,identity))) = double_divide(B,double_divide(A,identity)),
inference(para_into,[status(thm),theory(equality)],[540,339]),
[iquote('para_into,540.1.1.2.2,339.1.1')] ).
cnf(793,plain,
double_divide(A,double_divide(B,identity)) = double_divide(identity,double_divide(B,double_divide(A,identity))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[789])]),
[iquote('copy,789,flip.1')] ).
cnf(852,plain,
double_divide(double_divide(A,double_divide(B,C)),double_divide(identity,C)) = double_divide(B,double_divide(identity,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[479,367]),367])]),
[iquote('para_from,479.1.1,366.1.1.2,demod,367,flip.1')] ).
cnf(855,plain,
double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,C)))) = double_divide(A,double_divide(C,double_divide(identity,B))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[479,380]),852,560,515,367]),
[iquote('para_from,479.1.1,380.1.1.2,demod,852,560,515,367')] ).
cnf(860,plain,
double_divide(A,double_divide(B,double_divide(identity,C))) = double_divide(A,double_divide(identity,double_divide(C,double_divide(identity,B)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[855])]),
[iquote('copy,855,flip.1')] ).
cnf(961,plain,
double_divide(double_divide(A,double_divide(identity,double_divide(B,C))),double_divide(identity,double_divide(A,double_divide(D,double_divide(C,B))))) = D,
inference(para_into,[status(thm),theory(equality)],[531,446]),
[iquote('para_into,531.1.1.1.2,446.1.1')] ).
cnf(1004,plain,
double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(A,C))) = double_divide(B,C),
inference(para_into,[status(thm),theory(equality)],[531,364]),
[iquote('para_into,531.1.1.2.2.2,364.1.1')] ).
cnf(1012,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)],[961]),1004]),
[iquote('back_demod,961,demod,1004')] ).
cnf(1034,plain,
double_divide(double_divide(A,B),C) = double_divide(C,double_divide(B,A)),
inference(para_into,[status(thm),theory(equality)],[1012,368]),
[iquote('para_into,1012.1.1.2,368.1.1')] ).
cnf(1035,plain,
double_divide(double_divide(A,B),C) = double_divide(double_divide(B,A),C),
inference(para_into,[status(thm),theory(equality)],[1012,364]),
[iquote('para_into,1012.1.1.2,364.1.1')] ).
cnf(1045,plain,
double_divide(A,double_divide(B,C)) = double_divide(A,double_divide(C,B)),
inference(para_from,[status(thm),theory(equality)],[1012,364]),
[iquote('para_from,1012.1.1,364.1.1.1')] ).
cnf(1123,plain,
double_divide(double_divide(double_divide(A,B),C),double_divide(B,A)) = C,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1034,367])]),
[iquote('para_into,1034.1.1,366.1.1,flip.1')] ).
cnf(1133,plain,
double_divide(identity,double_divide(double_divide(A,double_divide(B,identity)),double_divide(identity,C))) = double_divide(identity,double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,C))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1035,793]),515,566,515]),
[iquote('para_into,1035.1.1.1,793.1.1,demod,515,566,515')] ).
cnf(1201,plain,
double_divide(identity,double_divide(double_divide(A,double_divide(identity,B)),double_divide(identity,C))) = double_divide(identity,double_divide(B,double_divide(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[533,364]),515]),
[iquote('para_from,533.1.1,364.1.1.1,demod,515')] ).
cnf(1209,plain,
double_divide(double_divide(A,double_divide(B,identity)),C) = double_divide(identity,double_divide(A,double_divide(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[533,515]),515,1201,515,367,367])]),
[iquote('para_from,533.1.1,514.1.1.1,demod,515,1201,515,367,367,flip.1')] ).
cnf(1216,plain,
double_divide(A,double_divide(B,double_divide(identity,C))) = double_divide(identity,double_divide(B,double_divide(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1133]),1209,367,1201]),
[iquote('back_demod,1133,demod,1209,367,1201')] ).
cnf(1377,plain,
double_divide(A,double_divide(B,double_divide(identity,double_divide(A,C)))) = double_divide(identity,double_divide(C,B)),
inference(para_into,[status(thm),theory(equality)],[632,368]),
[iquote('para_into,632.1.1.1,368.1.1')] ).
cnf(1390,plain,
double_divide(double_divide(A,B),C) = double_divide(identity,double_divide(B,double_divide(identity,double_divide(A,double_divide(identity,C))))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[632,1123]),566]),
[iquote('para_into,632.1.1.2,1123.1.1,demod,566')] ).
cnf(1403,plain,
double_divide(identity,double_divide(A,B)) = double_divide(C,double_divide(B,double_divide(identity,double_divide(C,A)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1377])]),
[iquote('copy,1377,flip.1')] ).
cnf(1522,plain,
( identity != identity
| a2 != a2
| double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(identity,double_divide(b3,double_divide(identity,double_divide(a3,c3))))
| double_divide(identity,double_divide(b4,a4)) != double_divide(identity,double_divide(a4,b4)) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[591]),1390,367,1390,367]),
[iquote('back_demod,591,demod,1390,367,1390,367')] ).
cnf(2389,plain,
double_divide(A,double_divide(B,C)) = double_divide(D,double_divide(C,double_divide(A,double_divide(D,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1403,1216]),367,1390,367,1390,367,367,367]),
[iquote('para_into,1403.1.1.2,1216.1.1,demod,367,1390,367,1390,367,367,367')] ).
cnf(2400,plain,
double_divide(A,double_divide(B,double_divide(C,double_divide(A,D)))) = double_divide(C,double_divide(D,B)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2389])]),
[iquote('copy,2389,flip.1')] ).
cnf(4510,plain,
double_divide(A,double_divide(B,double_divide(C,double_divide(D,E)))) = double_divide(A,double_divide(D,double_divide(C,double_divide(E,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[860,2400]),1390,367,1390,367,1390,367,367,367,367]),
[iquote('para_into,860.1.1.2.2,2400.1.1,demod,1390,367,1390,367,1390,367,367,367,367')] ).
cnf(4518,plain,
$false,
inference(hyper,[status(thm)],[1522,3,3,4510,1045]),
[iquote('hyper,1522,3,3,4510,1045')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP103-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12 % 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 05:15:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.75/3.99 ----- Otter 3.3f, August 2004 -----
% 3.75/3.99 The process was started by sandbox on n007.cluster.edu,
% 3.75/3.99 Wed Jul 27 05:15:46 2022
% 3.75/3.99 The command was "./otter". The process ID is 16005.
% 3.75/3.99
% 3.75/3.99 set(prolog_style_variables).
% 3.75/3.99 set(auto).
% 3.75/3.99 dependent: set(auto1).
% 3.75/3.99 dependent: set(process_input).
% 3.75/3.99 dependent: clear(print_kept).
% 3.75/3.99 dependent: clear(print_new_demod).
% 3.75/3.99 dependent: clear(print_back_demod).
% 3.75/3.99 dependent: clear(print_back_sub).
% 3.75/3.99 dependent: set(control_memory).
% 3.75/3.99 dependent: assign(max_mem, 12000).
% 3.75/3.99 dependent: assign(pick_given_ratio, 4).
% 3.75/3.99 dependent: assign(stats_level, 1).
% 3.75/3.99 dependent: assign(max_seconds, 10800).
% 3.75/3.99 clear(print_given).
% 3.75/3.99
% 3.75/3.99 list(usable).
% 3.75/3.99 0 [] A=A.
% 3.75/3.99 0 [] double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity))=Z.
% 3.75/3.99 0 [] multiply(X,Y)=double_divide(double_divide(Y,X),identity).
% 3.75/3.99 0 [] inverse(X)=double_divide(X,identity).
% 3.75/3.99 0 [] identity=double_divide(X,inverse(X)).
% 3.75/3.99 0 [] multiply(inverse(a1),a1)!=identity|multiply(identity,a2)!=a2|multiply(multiply(a3,b3),c3)!=multiply(a3,multiply(b3,c3))|multiply(a4,b4)!=multiply(b4,a4).
% 3.75/3.99 end_of_list.
% 3.75/3.99
% 3.75/3.99 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 3.75/3.99
% 3.75/3.99 This is a Horn set with equality. The strategy will be
% 3.75/3.99 Knuth-Bendix and hyper_res, with positive clauses in
% 3.75/3.99 sos and nonpositive clauses in usable.
% 3.75/3.99
% 3.75/3.99 dependent: set(knuth_bendix).
% 3.75/3.99 dependent: set(anl_eq).
% 3.75/3.99 dependent: set(para_from).
% 3.75/3.99 dependent: set(para_into).
% 3.75/3.99 dependent: clear(para_from_right).
% 3.75/3.99 dependent: clear(para_into_right).
% 3.75/3.99 dependent: set(para_from_vars).
% 3.75/3.99 dependent: set(eq_units_both_ways).
% 3.75/3.99 dependent: set(dynamic_demod_all).
% 3.75/3.99 dependent: set(dynamic_demod).
% 3.75/3.99 dependent: set(order_eq).
% 3.75/3.99 dependent: set(back_demod).
% 3.75/3.99 dependent: set(lrpo).
% 3.75/3.99 dependent: set(hyper_res).
% 3.75/3.99 dependent: clear(order_hyper).
% 3.75/3.99
% 3.75/3.99 ------------> process usable:
% 3.75/3.99 ** KEPT (pick-wt=29): 2 [copy,1,flip.4] multiply(inverse(a1),a1)!=identity|multiply(identity,a2)!=a2|multiply(multiply(a3,b3),c3)!=multiply(a3,multiply(b3,c3))|multiply(b4,a4)!=multiply(a4,b4).
% 3.75/3.99
% 3.75/3.99 ------------> process sos:
% 3.75/3.99 ** KEPT (pick-wt=3): 3 [] A=A.
% 3.75/3.99 ** KEPT (pick-wt=17): 4 [] double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))=C.
% 3.75/3.99 ---> New Demodulator: 5 [new_demod,4] double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))=C.
% 3.75/3.99 ** KEPT (pick-wt=9): 6 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 3.75/3.99 ---> New Demodulator: 7 [new_demod,6] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 3.75/3.99 ** KEPT (pick-wt=6): 8 [] inverse(A)=double_divide(A,identity).
% 3.75/3.99 ---> New Demodulator: 9 [new_demod,8] inverse(A)=double_divide(A,identity).
% 3.75/3.99 ** KEPT (pick-wt=7): 11 [copy,10,demod,9,flip.1] double_divide(A,double_divide(A,identity))=identity.
% 3.75/3.99 ---> New Demodulator: 12 [new_demod,11] double_divide(A,double_divide(A,identity))=identity.
% 3.75/3.99 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 3.75/3.99 >>>> Starting back demodulation with 5.
% 3.75/3.99 >>>> Starting back demodulation with 7.
% 3.75/3.99 >> back demodulating 2 with 7.
% 3.75/3.99 >>>> Starting back demodulation with 9.
% 3.75/3.99 >>>> Starting back demodulation with 12.
% 3.75/3.99
% 3.75/3.99 ======= end of input processing =======
% 3.75/3.99
% 3.75/3.99 =========== start of search ===========
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99 Resetting weight limit to 19.
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99 Resetting weight limit to 19.
% 3.75/3.99
% 3.75/3.99 sos_size=1968
% 3.75/3.99
% 3.75/3.99 -------- PROOF --------
% 3.75/3.99
% 3.75/3.99 -----> EMPTY CLAUSE at 2.11 sec ----> 4518 [hyper,1522,3,3,4510,1045] $F.
% 3.75/3.99
% 3.75/3.99 Length of proof is 120. Level of proof is 28.
% 3.75/3.99
% 3.75/3.99 ---------------- PROOF ----------------
% 3.75/3.99 % SZS status Unsatisfiable
% 3.75/3.99 % SZS output start Refutation
% See solution above
% 3.75/3.99 ------------ end of proof -------------
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99 Search stopped by max_proofs option.
% 3.75/3.99
% 3.75/3.99
% 3.75/3.99 Search stopped by max_proofs option.
% 3.75/3.99
% 3.75/3.99 ============ end of search ============
% 3.75/3.99
% 3.75/3.99 -------------- statistics -------------
% 3.75/3.99 clauses given 346
% 3.75/3.99 clauses generated 205102
% 3.75/3.99 clauses kept 3815
% 3.75/3.99 clauses forward subsumed 102090
% 3.75/3.99 clauses back subsumed 593
% 3.75/3.99 Kbytes malloced 4882
% 3.75/3.99
% 3.75/3.99 ----------- times (seconds) -----------
% 3.75/3.99 user CPU time 2.11 (0 hr, 0 min, 2 sec)
% 3.75/3.99 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.75/3.99 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.75/3.99
% 3.75/3.99 That finishes the proof of the theorem.
% 3.75/3.99
% 3.75/3.99 Process 16005 finished Wed Jul 27 05:15:49 2022
% 3.75/3.99 Otter interrupted
% 3.75/3.99 PROOF FOUND
%------------------------------------------------------------------------------