TSTP Solution File: GRP503-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP503-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:57:08 EDT 2022
% Result : Unsatisfiable 1.85s 2.11s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 3
% Syntax : Number of clauses : 74 ( 74 unt; 0 nHn; 2 RR)
% Number of literals : 74 ( 73 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 270 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('GRP503-1.p',unknown),
[] ).
cnf(3,axiom,
double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C,
file('GRP503-1.p',unknown),
[] ).
cnf(5,axiom,
multiply(A,B) = inverse(double_divide(B,A)),
file('GRP503-1.p',unknown),
[] ).
cnf(7,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[5])]),
[iquote('copy,5,flip.1')] ).
cnf(8,plain,
double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3]),7,7]),
[iquote('back_demod,3,demod,7,7')] ).
cnf(10,plain,
double_divide(double_divide(A,multiply(B,double_divide(C,D))),double_divide(multiply(D,C),multiply(double_divide(A,E),E))) = B,
inference(para_into,[status(thm),theory(equality)],[8,7]),
[iquote('para_into,8.1.1.2.1,6.1.1')] ).
cnf(13,plain,
double_divide(double_divide(double_divide(A,multiply(B,C)),multiply(D,E)),double_divide(inverse(E),multiply(B,double_divide(inverse(C),multiply(double_divide(A,F),F))))) = D,
inference(para_into,[status(thm),theory(equality)],[8,8]),
[iquote('para_into,8.1.1.2.2.1,8.1.1')] ).
cnf(14,plain,
inverse(A) = multiply(double_divide(inverse(B),multiply(double_divide(C,D),D)),double_divide(C,multiply(A,B))),
inference(para_from,[status(thm),theory(equality)],[8,7]),
[iquote('para_from,8.1.1,6.1.1.1')] ).
cnf(15,plain,
multiply(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(B,multiply(D,A))) = inverse(D),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[14])]),
[iquote('copy,14,flip.1')] ).
cnf(17,plain,
multiply(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(B,multiply(double_divide(D,E),A))) = multiply(E,D),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[14,7])]),
[iquote('para_into,14.1.1,6.1.1,flip.1')] ).
cnf(25,plain,
multiply(double_divide(multiply(multiply(A,B),C),multiply(double_divide(D,E),E)),double_divide(D,inverse(A))) = multiply(multiply(double_divide(C,F),F),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[15,15]),7,7]),
[iquote('para_into,15.1.1.2.2,15.1.1,demod,7,7')] ).
cnf(30,plain,
double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))) = double_divide(inverse(C),multiply(double_divide(D,F),F)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[15,8]),7]),
[iquote('para_from,15.1.1,8.1.1.1.2,demod,7')] ).
cnf(36,plain,
double_divide(double_divide(double_divide(A,multiply(B,C)),multiply(D,double_divide(E,F))),double_divide(multiply(F,E),multiply(B,double_divide(inverse(C),multiply(double_divide(A,G),G))))) = D,
inference(para_into,[status(thm),theory(equality)],[10,8]),
[iquote('para_into,10.1.1.2.2.1,8.1.1')] ).
cnf(38,plain,
double_divide(double_divide(double_divide(A,multiply(B,double_divide(C,D))),multiply(E,F)),double_divide(inverse(F),multiply(B,double_divide(multiply(D,C),multiply(double_divide(A,G),G))))) = E,
inference(para_from,[status(thm),theory(equality)],[10,8]),
[iquote('para_from,10.1.1,8.1.1.2.2.1')] ).
cnf(44,plain,
multiply(double_divide(multiply(A,B),multiply(double_divide(C,D),D)),double_divide(C,multiply(double_divide(E,F),double_divide(B,A)))) = multiply(F,E),
inference(para_into,[status(thm),theory(equality)],[17,7]),
[iquote('para_into,17.1.1.1.1,6.1.1')] ).
cnf(151,plain,
multiply(multiply(double_divide(A,B),B),inverse(C)) = multiply(multiply(double_divide(A,D),D),inverse(C)),
inference(para_into,[status(thm),theory(equality)],[25,25]),
[iquote('para_into,25.1.1,25.1.1')] ).
cnf(193,plain,
multiply(double_divide(A,B),B) = multiply(double_divide(A,C),C),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[151,13]),13]),
[iquote('para_from,151.1.1,12.1.1.1.2,demod,13')] ).
cnf(203,plain,
multiply(A,double_divide(inverse(B),multiply(double_divide(C,D),D))) = multiply(double_divide(double_divide(C,multiply(A,B)),E),E),
inference(para_into,[status(thm),theory(equality)],[193,8]),
[iquote('para_into,193.1.1.1,8.1.1')] ).
cnf(207,plain,
multiply(double_divide(multiply(A,B),multiply(double_divide(C,D),D)),double_divide(C,multiply(double_divide(E,F),F))) = multiply(double_divide(B,A),E),
inference(para_from,[status(thm),theory(equality)],[193,44]),
[iquote('para_from,193.1.1,44.1.1.2.2')] ).
cnf(214,plain,
double_divide(double_divide(A,multiply(double_divide(B,C),C)),double_divide(multiply(D,E),multiply(double_divide(A,F),F))) = double_divide(B,double_divide(E,D)),
inference(para_from,[status(thm),theory(equality)],[193,10]),
[iquote('para_from,193.1.1,10.1.1.1.2')] ).
cnf(216,plain,
double_divide(double_divide(A,multiply(double_divide(B,C),C)),double_divide(inverse(D),multiply(double_divide(A,E),E))) = double_divide(B,D),
inference(para_from,[status(thm),theory(equality)],[193,8]),
[iquote('para_from,193.1.1,8.1.1.1.2')] ).
cnf(223,plain,
multiply(double_divide(double_divide(A,multiply(double_divide(inverse(B),multiply(double_divide(inverse(C),D),D)),C)),E),E) = multiply(B,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[203,17])]),
[iquote('para_into,203.1.1,17.1.1,flip.1')] ).
cnf(232,plain,
double_divide(double_divide(A,multiply(double_divide(B,double_divide(inverse(C),multiply(double_divide(A,D),D))),C)),E) = double_divide(B,E),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[216,203]),216]),
[iquote('para_into,215.1.1.1.2,203.1.1,demod,216')] ).
cnf(244,plain,
double_divide(double_divide(A,multiply(double_divide(B,double_divide(multiply(C,D),multiply(double_divide(A,E),E))),double_divide(D,C))),F) = double_divide(B,F),
inference(para_into,[status(thm),theory(equality)],[232,7]),
[iquote('para_into,231.1.1.1.2.1.2.1,6.1.1')] ).
cnf(263,plain,
multiply(double_divide(A,double_divide(B,A)),C) = multiply(double_divide(D,double_divide(B,D)),C),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[207,193]),207]),
[iquote('para_into,206.1.1.1.1,193.1.1,demod,207')] ).
cnf(264,plain,
multiply(double_divide(A,B),B) = multiply(double_divide(C,double_divide(D,C)),double_divide(D,A)),
inference(para_into,[status(thm),theory(equality)],[263,193]),
[iquote('para_into,263.1.1,193.1.1')] ).
cnf(265,plain,
multiply(double_divide(A,double_divide(B,A)),double_divide(B,C)) = multiply(double_divide(C,D),D),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[264])]),
[iquote('copy,264,flip.1')] ).
cnf(277,plain,
double_divide(A,double_divide(B,A)) = double_divide(C,double_divide(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[263,13]),13]),
[iquote('para_from,263.1.1,12.1.1.1.2,demod,13')] ).
cnf(308,plain,
multiply(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),double_divide(B,D)) = multiply(double_divide(D,E),E),
inference(para_into,[status(thm),theory(equality)],[265,277]),
[iquote('para_into,265.1.1.1.2,277.1.1')] ).
cnf(314,plain,
multiply(double_divide(A,multiply(double_divide(B,C),C)),D) = multiply(multiply(double_divide(A,E),E),multiply(B,D)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[265,25]),7,207,7]),
[iquote('para_from,265.1.1,25.1.1.1.1.1,demod,7,207,7')] ).
cnf(382,plain,
double_divide(A,double_divide(B,multiply(double_divide(C,D),D))) = double_divide(multiply(C,A),multiply(double_divide(B,E),E)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[30,265]),7,214,7]),
[iquote('para_into,30.1.1.2.1.1,265.1.1,demod,7,214,7')] ).
cnf(390,plain,
multiply(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),double_divide(D,double_divide(E,D))) = multiply(double_divide(double_divide(E,B),F),F),
inference(para_into,[status(thm),theory(equality)],[308,277]),
[iquote('para_into,308.1.1.2,277.1.1')] ).
cnf(391,plain,
multiply(double_divide(double_divide(A,B),C),C) = multiply(double_divide(double_divide(D,B),double_divide(E,double_divide(D,E))),double_divide(F,double_divide(A,F))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[390])]),
[iquote('copy,390,flip.1')] ).
cnf(393,plain,
multiply(multiply(A,B),multiply(C,multiply(double_divide(C,D),D))) = multiply(A,B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[314,223]),223])]),
[iquote('para_into,314.1.1,222.1.1,demod,223,flip.1')] ).
cnf(405,plain,
double_divide(multiply(A,double_divide(A,multiply(B,C))),multiply(double_divide(inverse(C),D),D)) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[382,38]),244])]),
[iquote('para_into,382.1.1,38.1.1,demod,244,flip.1')] ).
cnf(409,plain,
double_divide(double_divide(inverse(A),multiply(B,double_divide(double_divide(C,multiply(D,A)),C))),D) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[405,36]),232]),
[iquote('para_from,404.1.1,36.1.1.2,demod,232')] ).
cnf(418,plain,
double_divide(A,double_divide(inverse(B),multiply(A,multiply(C,B)))) = C,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[409,38]),405]),
[iquote('para_from,409.1.1,38.1.1.1,demod,405')] ).
cnf(427,plain,
double_divide(multiply(A,B),double_divide(inverse(multiply(double_divide(C,D),D)),multiply(A,B))) = C,
inference(para_into,[status(thm),theory(equality)],[418,393]),
[iquote('para_into,418.1.1.2.2,392.1.1')] ).
cnf(475,plain,
double_divide(A,double_divide(inverse(multiply(double_divide(B,C),C)),A)) = B,
inference(para_into,[status(thm),theory(equality)],[427,277]),
[iquote('para_into,427.1.1,277.1.1')] ).
cnf(490,plain,
multiply(double_divide(inverse(multiply(double_divide(A,B),B)),C),C) = inverse(A),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[475,7])]),
[iquote('para_from,475.1.1,6.1.1.1,flip.1')] ).
cnf(518,plain,
double_divide(A,double_divide(inverse(inverse(B)),A)) = inverse(multiply(double_divide(B,C),C)),
inference(para_from,[status(thm),theory(equality)],[490,475]),
[iquote('para_from,489.1.1,475.1.1.2.1.1')] ).
cnf(525,plain,
inverse(multiply(double_divide(A,B),B)) = double_divide(C,double_divide(inverse(inverse(A)),C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[518])]),
[iquote('copy,518,flip.1')] ).
cnf(547,plain,
double_divide(A,double_divide(double_divide(B,double_divide(inverse(inverse(C)),B)),A)) = C,
inference(para_from,[status(thm),theory(equality)],[525,475]),
[iquote('para_from,525.1.1,475.1.1.2.1')] ).
cnf(550,plain,
multiply(double_divide(double_divide(A,double_divide(inverse(inverse(B)),A)),C),C) = inverse(B),
inference(para_from,[status(thm),theory(equality)],[525,490]),
[iquote('para_from,525.1.1,489.1.1.1.1')] ).
cnf(551,plain,
double_divide(A,double_divide(double_divide(B,double_divide(inverse(multiply(C,D)),B)),A)) = double_divide(D,C),
inference(para_into,[status(thm),theory(equality)],[547,7]),
[iquote('para_into,547.1.1.2.1.2.1.1,6.1.1')] ).
cnf(553,plain,
double_divide(multiply(A,multiply(double_divide(A,B),B)),inverse(C)) = C,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[547,382]),550]),
[iquote('para_into,547.1.1,382.1.1,demod,550')] ).
cnf(560,plain,
double_divide(multiply(A,multiply(double_divide(A,B),B)),multiply(C,D)) = double_divide(D,C),
inference(para_into,[status(thm),theory(equality)],[553,7]),
[iquote('para_into,553.1.1.2,6.1.1')] ).
cnf(566,plain,
double_divide(double_divide(A,B),double_divide(inverse(A),multiply(C,inverse(C)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[553,8]),560]),
[iquote('para_from,553.1.1,8.1.1.2.2.1,demod,560')] ).
cnf(575,plain,
double_divide(double_divide(inverse(A),multiply(B,inverse(B))),double_divide(inverse(inverse(C)),A)) = C,
inference(para_from,[status(thm),theory(equality)],[566,547]),
[iquote('para_from,566.1.1,547.1.1.2')] ).
cnf(592,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(para_into,[status(thm),theory(equality)],[575,566]),
[iquote('para_into,575.1.1,566.1.1')] ).
cnf(593,plain,
multiply(double_divide(A,B),multiply(B,A)) = multiply(C,inverse(C)),
inference(para_into,[status(thm),theory(equality)],[592,7]),
[iquote('para_into,592.1.1.2,6.1.1')] ).
cnf(601,plain,
double_divide(inverse(A),A) = double_divide(inverse(B),B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[592,560]),560]),
[iquote('para_from,592.1.1,559.1.1.2,demod,560')] ).
cnf(621,plain,
double_divide(multiply(double_divide(A,B),B),double_divide(inverse(C),C)) = A,
inference(para_from,[status(thm),theory(equality)],[601,475]),
[iquote('para_from,601.1.1,475.1.1.2')] ).
cnf(625,plain,
multiply(double_divide(inverse(A),A),B) = multiply(inverse(C),multiply(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[601,314]),490]),
[iquote('para_from,601.1.1,314.1.1.1,demod,490')] ).
cnf(640,plain,
multiply(double_divide(inverse(multiply(double_divide(inverse(A),A),B)),C),C) = inverse(inverse(B)),
inference(para_from,[status(thm),theory(equality)],[601,490]),
[iquote('para_from,601.1.1,489.1.1.1.1.1.1')] ).
cnf(654,plain,
multiply(inverse(A),multiply(A,B)) = multiply(double_divide(inverse(C),C),B),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[625])]),
[iquote('copy,625,flip.1')] ).
cnf(659,plain,
inverse(inverse(A)) = multiply(double_divide(inverse(multiply(double_divide(inverse(B),B),A)),C),C),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[640])]),
[iquote('copy,640,flip.1')] ).
cnf(696,plain,
double_divide(multiply(A,multiply(double_divide(B,C),C)),inverse(A)) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[621,382]),490]),
[iquote('para_into,621.1.1,382.1.1,demod,490')] ).
cnf(711,plain,
double_divide(multiply(A,inverse(A)),multiply(double_divide(B,C),C)) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[696,593]),7]),
[iquote('para_into,696.1.1.1,593.1.1,demod,7')] ).
cnf(730,plain,
double_divide(multiply(A,inverse(A)),inverse(B)) = double_divide(C,double_divide(inverse(inverse(B)),C)),
inference(para_into,[status(thm),theory(equality)],[711,550]),
[iquote('para_into,710.1.1.2,549.1.1')] ).
cnf(735,plain,
double_divide(A,double_divide(inverse(inverse(B)),A)) = double_divide(multiply(C,inverse(C)),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[730])]),
[iquote('copy,730,flip.1')] ).
cnf(751,plain,
double_divide(A,double_divide(inverse(B),multiply(C,multiply(double_divide(C,D),D)))) = double_divide(A,B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[711,216]),711]),
[iquote('para_from,710.1.1,215.1.1.2.2.1,demod,711')] ).
cnf(758,plain,
double_divide(multiply(A,inverse(A)),multiply(B,C)) = double_divide(C,B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[711,560]),393]),
[iquote('para_from,710.1.1,559.1.1.1.2.1,demod,393')] ).
cnf(760,plain,
double_divide(multiply(A,inverse(A)),inverse(B)) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[711,553]),393]),
[iquote('para_from,710.1.1,553.1.1.1.2.1,demod,393')] ).
cnf(765,plain,
double_divide(double_divide(A,B),A) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[711,8]),758,751]),
[iquote('para_from,710.1.1,8.1.1.2.2.1,demod,758,751')] ).
cnf(779,plain,
double_divide(A,double_divide(B,A)) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[711]),758]),
[iquote('back_demod,710,demod,758')] ).
cnf(783,plain,
inverse(inverse(A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[735]),779,760]),
[iquote('back_demod,735,demod,779,760')] ).
cnf(797,plain,
multiply(double_divide(double_divide(A,B),C),C) = multiply(B,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[391]),779,765,779]),
[iquote('back_demod,391,demod,779,765,779')] ).
cnf(832,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[551]),779,779]),
[iquote('back_demod,551,demod,779,779')] ).
cnf(864,plain,
multiply(double_divide(inverse(A),A),B) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[659]),783,832,797])]),
[iquote('back_demod,659,demod,783,832,797,flip.1')] ).
cnf(903,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[654]),864]),
[iquote('back_demod,654,demod,864')] ).
cnf(1088,plain,
multiply(double_divide(A,inverse(A)),B) = B,
inference(para_into,[status(thm),theory(equality)],[864,783]),
[iquote('para_into,863.1.1.1.1,782.1.1')] ).
cnf(1117,plain,
multiply(multiply(inverse(A),A),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1088,903]),7]),
[iquote('para_from,1088.1.1,903.1.1.2,demod,7')] ).
cnf(1119,plain,
$false,
inference(binary,[status(thm)],[1117,1]),
[iquote('binary,1117.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP503-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 05:30:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.85/2.11 ----- Otter 3.3f, August 2004 -----
% 1.85/2.11 The process was started by sandbox on n004.cluster.edu,
% 1.85/2.11 Wed Jul 27 05:30:21 2022
% 1.85/2.11 The command was "./otter". The process ID is 10738.
% 1.85/2.11
% 1.85/2.11 set(prolog_style_variables).
% 1.85/2.11 set(auto).
% 1.85/2.11 dependent: set(auto1).
% 1.85/2.11 dependent: set(process_input).
% 1.85/2.11 dependent: clear(print_kept).
% 1.85/2.11 dependent: clear(print_new_demod).
% 1.85/2.11 dependent: clear(print_back_demod).
% 1.85/2.11 dependent: clear(print_back_sub).
% 1.85/2.11 dependent: set(control_memory).
% 1.85/2.11 dependent: assign(max_mem, 12000).
% 1.85/2.11 dependent: assign(pick_given_ratio, 4).
% 1.85/2.11 dependent: assign(stats_level, 1).
% 1.85/2.11 dependent: assign(max_seconds, 10800).
% 1.85/2.11 clear(print_given).
% 1.85/2.11
% 1.85/2.11 list(usable).
% 1.85/2.11 0 [] A=A.
% 1.85/2.11 0 [] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D)))))=C.
% 1.85/2.11 0 [] multiply(A,B)=inverse(double_divide(B,A)).
% 1.85/2.11 0 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 1.85/2.11 end_of_list.
% 1.85/2.11
% 1.85/2.11 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.85/2.11
% 1.85/2.11 All clauses are units, and equality is present; the
% 1.85/2.11 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.85/2.11
% 1.85/2.11 dependent: set(knuth_bendix).
% 1.85/2.11 dependent: set(anl_eq).
% 1.85/2.11 dependent: set(para_from).
% 1.85/2.11 dependent: set(para_into).
% 1.85/2.11 dependent: clear(para_from_right).
% 1.85/2.11 dependent: clear(para_into_right).
% 1.85/2.11 dependent: set(para_from_vars).
% 1.85/2.11 dependent: set(eq_units_both_ways).
% 1.85/2.11 dependent: set(dynamic_demod_all).
% 1.85/2.11 dependent: set(dynamic_demod).
% 1.85/2.11 dependent: set(order_eq).
% 1.85/2.11 dependent: set(back_demod).
% 1.85/2.11 dependent: set(lrpo).
% 1.85/2.11
% 1.85/2.11 ------------> process usable:
% 1.85/2.11 ** KEPT (pick-wt=8): 1 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 1.85/2.11
% 1.85/2.11 ------------> process sos:
% 1.85/2.11 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.85/2.11 ** KEPT (pick-wt=18): 3 [] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D)))))=C.
% 1.85/2.11 ---> New Demodulator: 4 [new_demod,3] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D)))))=C.
% 1.85/2.11 ** KEPT (pick-wt=8): 6 [copy,5,flip.1] inverse(double_divide(A,B))=multiply(B,A).
% 1.85/2.11 ---> New Demodulator: 7 [new_demod,6] inverse(double_divide(A,B))=multiply(B,A).
% 1.85/2.11 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.85/2.11 >>>> Starting back demodulation with 4.
% 1.85/2.11 >>>> Starting back demodulation with 7.
% 1.85/2.11 >> back demodulating 3 with 7.
% 1.85/2.11 >>>> Starting back demodulation with 9.
% 1.85/2.11
% 1.85/2.11 ======= end of input processing =======
% 1.85/2.11
% 1.85/2.11 =========== start of search ===========
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 26.
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 26.
% 1.85/2.11
% 1.85/2.11 sos_size=140
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 23.
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 23.
% 1.85/2.11
% 1.85/2.11 sos_size=163
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 19.
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 19.
% 1.85/2.11
% 1.85/2.11 sos_size=271
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 16.
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 16.
% 1.85/2.11
% 1.85/2.11 sos_size=329
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 9.
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Resetting weight limit to 9.
% 1.85/2.11
% 1.85/2.11 sos_size=355
% 1.85/2.11
% 1.85/2.11 -------- PROOF --------
% 1.85/2.11
% 1.85/2.11 ----> UNIT CONFLICT at 0.23 sec ----> 1119 [binary,1117.1,1.1] $F.
% 1.85/2.11
% 1.85/2.11 Length of proof is 70. Level of proof is 36.
% 1.85/2.11
% 1.85/2.11 ---------------- PROOF ----------------
% 1.85/2.11 % SZS status Unsatisfiable
% 1.85/2.11 % SZS output start Refutation
% See solution above
% 1.85/2.11 ------------ end of proof -------------
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Search stopped by max_proofs option.
% 1.85/2.11
% 1.85/2.11
% 1.85/2.11 Search stopped by max_proofs option.
% 1.85/2.11
% 1.85/2.11 ============ end of search ============
% 1.85/2.11
% 1.85/2.11 -------------- statistics -------------
% 1.85/2.11 clauses given 147
% 1.85/2.11 clauses generated 20760
% 1.85/2.11 clauses kept 858
% 1.85/2.11 clauses forward subsumed 4131
% 1.85/2.11 clauses back subsumed 12
% 1.85/2.11 Kbytes malloced 8789
% 1.85/2.11
% 1.85/2.11 ----------- times (seconds) -----------
% 1.85/2.11 user CPU time 0.23 (0 hr, 0 min, 0 sec)
% 1.85/2.11 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.85/2.11 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.85/2.11
% 1.85/2.11 That finishes the proof of the theorem.
% 1.85/2.11
% 1.85/2.11 Process 10738 finished Wed Jul 27 05:30:23 2022
% 1.85/2.11 Otter interrupted
% 1.85/2.11 PROOF FOUND
%------------------------------------------------------------------------------