TSTP Solution File: GRP014-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 12:55:51 EDT 2022
% Result : Unsatisfiable 1.95s 2.20s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 2
% Syntax : Number of clauses : 69 ( 69 unt; 0 nHn; 3 RR)
% Number of literals : 69 ( 68 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 208 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('GRP014-1.p',unknown),
[] ).
cnf(2,plain,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(5,axiom,
multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C,
file('GRP014-1.p',unknown),
[] ).
cnf(6,plain,
multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),inverse(multiply(B,D))))) = inverse(multiply(multiply(inverse(multiply(inverse(E),multiply(inverse(inverse(A)),C))),F),inverse(multiply(E,F)))),
inference(para_into,[status(thm),theory(equality)],[5,5]),
[iquote('para_into,4.1.1.2.1.1.1.1.2,4.1.1')] ).
cnf(21,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(inverse(B),C)))),D),inverse(multiply(A,D)))) = C,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[6,5])]),
[iquote('para_into,6.1.1,4.1.1,flip.1')] ).
cnf(39,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(B,C)))),D),inverse(multiply(A,D)))) = C,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[21,21]),21]),
[iquote('para_into,20.1.1.1.1.1.1.2.1.1,20.1.1,demod,21')] ).
cnf(70,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(inverse(C),multiply(C,D))))),E),inverse(multiply(A,E)))) = multiply(B,D),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[39,6])]),
[iquote('para_from,39.1.1,6.1.1.2,flip.1')] ).
cnf(172,plain,
multiply(inverse(A),multiply(A,B)) = multiply(inverse(C),multiply(C,B)),
inference(para_from,[status(thm),theory(equality)],[70,5]),
[iquote('para_from,70.1.1,4.1.1.2')] ).
cnf(191,plain,
multiply(inverse(inverse(A)),multiply(inverse(B),multiply(B,C))) = multiply(inverse(D),multiply(D,multiply(A,C))),
inference(para_into,[status(thm),theory(equality)],[172,172]),
[iquote('para_into,172.1.1.2,172.1.1')] ).
cnf(194,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),inverse(multiply(B,D)))))) = C,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[172,6]),5])]),
[iquote('para_into,172.1.1.2,6.1.1,demod,5,flip.1')] ).
cnf(207,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),D),inverse(multiply(inverse(B),D)))) = C,
inference(para_from,[status(thm),theory(equality)],[172,39]),
[iquote('para_from,172.1.1,39.1.1.1.1.1.1')] ).
cnf(224,plain,
multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),D),inverse(multiply(inverse(A),D))))) = C,
inference(para_from,[status(thm),theory(equality)],[172,5]),
[iquote('para_from,172.1.1,4.1.1.2.1.1.1.1')] ).
cnf(241,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),D),inverse(multiply(E,D)))))) = multiply(E,C),
inference(para_into,[status(thm),theory(equality)],[194,172]),
[iquote('para_into,194.1.1.2.2.1.1.1.1,172.1.1')] ).
cnf(244,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(multiply(D,multiply(multiply(inverse(D),E),C))))))) = E,
inference(para_into,[status(thm),theory(equality)],[194,172]),
[iquote('para_into,194.1.1.2.2.1.1,172.1.1')] ).
cnf(250,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),multiply(B,D)),inverse(multiply(inverse(E),multiply(E,D))))) = C,
inference(para_into,[status(thm),theory(equality)],[207,172]),
[iquote('para_into,207.1.1.1.2.1,172.1.1')] ).
cnf(251,plain,
multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(multiply(inverse(A),multiply(multiply(inverse(D),multiply(D,E)),C)))))) = E,
inference(para_into,[status(thm),theory(equality)],[224,172]),
[iquote('para_into,224.1.1.2.1.1,172.1.1')] ).
cnf(260,plain,
multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,inverse(C)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[251,244]),244]),
[iquote('para_into,251.1.1.2.1.2.1,243.1.1,demod,244')] ).
cnf(280,plain,
multiply(inverse(multiply(inverse(A),multiply(A,B))),B) = multiply(inverse(multiply(inverse(C),multiply(C,D))),D),
inference(para_from,[status(thm),theory(equality)],[260,241]),
[iquote('para_from,259.1.1,241.1.1.2')] ).
cnf(282,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))),inverse(multiply(D,E)))))) = multiply(D,E),
inference(para_from,[status(thm),theory(equality)],[260,244]),
[iquote('para_from,259.1.1,243.1.1.2.2.1.2.1.2')] ).
cnf(290,plain,
multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(B),multiply(B,C))),C)) = multiply(inverse(D),multiply(D,multiply(A,inverse(multiply(E,inverse(E)))))),
inference(para_from,[status(thm),theory(equality)],[260,191]),
[iquote('para_from,259.1.1,191.1.1.2.2')] ).
cnf(294,plain,
multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))) = multiply(inverse(inverse(B)),multiply(inverse(multiply(inverse(D),multiply(D,E))),E)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[290])]),
[iquote('copy,290,flip.1')] ).
cnf(302,plain,
multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(B),multiply(B,C))),C)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[280,244]),244]),
[iquote('para_from,280.1.1,243.1.1.2,demod,244')] ).
cnf(307,plain,
multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[294]),302]),
[iquote('back_demod,294,demod,302')] ).
cnf(323,plain,
multiply(A,inverse(multiply(B,inverse(B)))) = multiply(A,inverse(multiply(C,inverse(C)))),
inference(para_from,[status(thm),theory(equality)],[307,260]),
[iquote('para_from,307.1.1,259.1.1.1')] ).
cnf(381,plain,
multiply(inverse(A),inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),multiply(inverse(multiply(inverse(D),multiply(D,E))),E)),inverse(A)))) = C,
inference(para_from,[status(thm),theory(equality)],[302,224]),
[iquote('para_from,301.1.1,224.1.1.2.1.2.1')] ).
cnf(400,plain,
multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,inverse(C))))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[323,244]),282]),
[iquote('para_from,323.1.1,243.1.1.2.2.1.2.1.2,demod,282')] ).
cnf(404,plain,
inverse(multiply(A,inverse(A))) = inverse(multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[323,260]),260]),
[iquote('para_from,323.1.1,259.1.1.1.2,demod,260')] ).
cnf(428,plain,
multiply(multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)),inverse(multiply(D,inverse(D)))) = C,
inference(para_from,[status(thm),theory(equality)],[404,260]),
[iquote('para_from,404.1.1,259.1.1.1.1')] ).
cnf(433,plain,
multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)) = multiply(inverse(D),multiply(D,C)),
inference(para_from,[status(thm),theory(equality)],[404,172]),
[iquote('para_from,404.1.1,172.1.1.1')] ).
cnf(438,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[404,302]),302]),
[iquote('para_from,404.1.1,301.1.1.1.1,demod,302')] ).
cnf(569,plain,
multiply(A,multiply(B,inverse(B))) = inverse(inverse(A)),
inference(para_into,[status(thm),theory(equality)],[400,438]),
[iquote('para_into,400.1.1.2,438.1.1')] ).
cnf(571,plain,
inverse(inverse(A)) = multiply(A,multiply(B,inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[569])]),
[iquote('copy,569,flip.1')] ).
cnf(582,plain,
multiply(inverse(A),multiply(A,inverse(B))) = inverse(inverse(inverse(B))),
inference(para_into,[status(thm),theory(equality)],[569,172]),
[iquote('para_into,569.1.1,172.1.1')] ).
cnf(660,plain,
multiply(inverse(inverse(A)),multiply(inverse(multiply(inverse(B),inverse(inverse(B)))),multiply(C,inverse(C)))) = A,
inference(para_from,[status(thm),theory(equality)],[569,302]),
[iquote('para_from,569.1.1,301.1.1.2.1.1.2')] ).
cnf(662,plain,
multiply(inverse(inverse(A)),multiply(inverse(B),inverse(inverse(B)))) = multiply(inverse(C),multiply(C,multiply(A,multiply(D,inverse(D))))),
inference(para_from,[status(thm),theory(equality)],[569,191]),
[iquote('para_from,569.1.1,191.1.1.2.2')] ).
cnf(695,plain,
multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(C))))) = multiply(inverse(inverse(B)),multiply(inverse(D),inverse(inverse(D)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[662])]),
[iquote('copy,662,flip.1')] ).
cnf(773,plain,
multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(C))))) = inverse(inverse(inverse(inverse(B)))),
inference(para_into,[status(thm),theory(equality)],[582,571]),
[iquote('para_into,582.1.1.2.2,571.1.1')] ).
cnf(775,plain,
multiply(inverse(A),multiply(A,B)) = inverse(inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[582,250]),250]),
[iquote('para_into,582.1.1.2.2,249.1.1,demod,250')] ).
cnf(779,plain,
inverse(inverse(inverse(inverse(A)))) = multiply(inverse(B),multiply(B,multiply(A,multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[773])]),
[iquote('copy,773,flip.1')] ).
cnf(781,plain,
inverse(inverse(A)) = multiply(inverse(B),multiply(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[775])]),
[iquote('copy,775,flip.1')] ).
cnf(784,plain,
multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)) = inverse(inverse(C)),
inference(para_into,[status(thm),theory(equality)],[775,404]),
[iquote('para_into,775.1.1.1,404.1.1')] ).
cnf(849,plain,
multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))) = A,
inference(para_from,[status(thm),theory(equality)],[775,260]),
[iquote('para_from,775.1.1,259.1.1.1')] ).
cnf(892,plain,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(multiply(D,multiply(inverse(inverse(E)),C))))))) = multiply(D,E),
inference(para_from,[status(thm),theory(equality)],[775,244]),
[iquote('para_from,775.1.1,243.1.1.2.2.1.2.1.2.1')] ).
cnf(959,plain,
multiply(inverse(multiply(inverse(A),multiply(A,B))),multiply(inverse(multiply(inverse(C),multiply(C,D))),D)) = inverse(B),
inference(para_from,[status(thm),theory(equality)],[781,302]),
[iquote('para_from,781.1.1,301.1.1.1.1')] ).
cnf(990,plain,
multiply(inverse(A),inverse(multiply(inverse(B),inverse(A)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[381]),959]),
[iquote('back_demod,381,demod,959')] ).
cnf(1071,plain,
multiply(A,inverse(multiply(inverse(B),A))) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[990,250]),250]),
[iquote('para_into,990.1.1.1,249.1.1,demod,250')] ).
cnf(1076,plain,
multiply(inverse(multiply(A,inverse(A))),inverse(B)) = inverse(B),
inference(para_into,[status(thm),theory(equality)],[990,849]),
[iquote('para_into,990.1.1.2.1,849.1.1')] ).
cnf(1078,plain,
inverse(multiply(inverse(A),inverse(multiply(B,inverse(B))))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[990,323]),1076]),
[iquote('para_into,990.1.1.2.1,323.1.1,demod,1076')] ).
cnf(1079,plain,
multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),A))) = inverse(C),
inference(para_into,[status(thm),theory(equality)],[1071,781]),
[iquote('para_into,1071.1.1.2.1.1,781.1.1')] ).
cnf(1085,plain,
multiply(multiply(A,inverse(A)),inverse(inverse(inverse(inverse(B))))) = B,
inference(para_into,[status(thm),theory(equality)],[1071,569]),
[iquote('para_into,1071.1.1.2.1,569.1.1')] ).
cnf(1088,plain,
multiply(inverse(multiply(A,inverse(A))),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1071,323]),1078]),
[iquote('para_into,1071.1.1.2.1,323.1.1,demod,1078')] ).
cnf(1089,plain,
multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(B)) = A,
inference(para_into,[status(thm),theory(equality)],[1071,307]),
[iquote('para_into,1071.1.1.2.1,307.1.1')] ).
cnf(1098,plain,
multiply(multiply(A,inverse(A)),B) = inverse(inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[784]),1088]),
[iquote('back_demod,784,demod,1088')] ).
cnf(1101,plain,
multiply(inverse(inverse(A)),multiply(B,inverse(B))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[660]),1088]),
[iquote('back_demod,660,demod,1088')] ).
cnf(1108,plain,
multiply(multiply(A,inverse(A)),B) = multiply(inverse(C),multiply(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[433]),1088]),
[iquote('back_demod,433,demod,1088')] ).
cnf(1109,plain,
multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(C,inverse(C)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[428]),1088]),
[iquote('back_demod,428,demod,1088')] ).
cnf(1114,plain,
multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(C))))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[695]),1101]),
[iquote('back_demod,695,demod,1101')] ).
cnf(1118,plain,
inverse(inverse(inverse(inverse(A)))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[779]),1114]),
[iquote('back_demod,779,demod,1114')] ).
cnf(1122,plain,
multiply(multiply(A,inverse(A)),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1085]),1118]),
[iquote('back_demod,1085,demod,1118')] ).
cnf(1130,plain,
multiply(A,inverse(multiply(B,inverse(B)))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1109]),1122]),
[iquote('back_demod,1109,demod,1122')] ).
cnf(1132,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1108]),1122])]),
[iquote('back_demod,1108,demod,1122,flip.1')] ).
cnf(1136,plain,
inverse(inverse(A)) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1098]),1122])]),
[iquote('back_demod,1098,demod,1122,flip.1')] ).
cnf(1151,plain,
multiply(multiply(A,B),inverse(B)) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1089]),1130]),
[iquote('back_demod,1089,demod,1130')] ).
cnf(1185,plain,
multiply(A,inverse(multiply(B,A))) = inverse(B),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1079]),1132]),
[iquote('back_demod,1079,demod,1132')] ).
cnf(1189,plain,
inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) = multiply(B,C),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[892]),1132,1136,1132]),
[iquote('back_demod,892,demod,1132,1136,1132')] ).
cnf(1210,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1185,1151])]),
[iquote('para_into,1185.1.1.2.1,1151.1.1,flip.1')] ).
cnf(1213,plain,
multiply(multiply(A,multiply(B,C)),inverse(C)) = multiply(A,B),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1189]),1210,1210,1210,1210,1136,1210,1136,1136]),
[iquote('back_demod,1189,demod,1210,1210,1210,1210,1136,1210,1136,1136')] ).
cnf(1219,plain,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1213,1151]),1136]),
[iquote('para_into,1213.1.1.1.2,1151.1.1,demod,1136')] ).
cnf(1221,plain,
$false,
inference(binary,[status(thm)],[1219,2]),
[iquote('binary,1219.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 05:26:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.95/2.20 ----- Otter 3.3f, August 2004 -----
% 1.95/2.20 The process was started by sandbox on n025.cluster.edu,
% 1.95/2.20 Wed Jul 27 05:26:30 2022
% 1.95/2.20 The command was "./otter". The process ID is 27903.
% 1.95/2.20
% 1.95/2.20 set(prolog_style_variables).
% 1.95/2.20 set(auto).
% 1.95/2.20 dependent: set(auto1).
% 1.95/2.20 dependent: set(process_input).
% 1.95/2.20 dependent: clear(print_kept).
% 1.95/2.20 dependent: clear(print_new_demod).
% 1.95/2.20 dependent: clear(print_back_demod).
% 1.95/2.20 dependent: clear(print_back_sub).
% 1.95/2.20 dependent: set(control_memory).
% 1.95/2.20 dependent: assign(max_mem, 12000).
% 1.95/2.20 dependent: assign(pick_given_ratio, 4).
% 1.95/2.20 dependent: assign(stats_level, 1).
% 1.95/2.20 dependent: assign(max_seconds, 10800).
% 1.95/2.20 clear(print_given).
% 1.95/2.20
% 1.95/2.20 list(usable).
% 1.95/2.20 0 [] A=A.
% 1.95/2.20 0 [] multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(X),W))),Z),inverse(multiply(Y,Z)))))=W.
% 1.95/2.20 0 [] multiply(a,multiply(b,c))!=multiply(multiply(a,b),c).
% 1.95/2.20 end_of_list.
% 1.95/2.20
% 1.95/2.20 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.95/2.20
% 1.95/2.20 All clauses are units, and equality is present; the
% 1.95/2.20 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.95/2.20
% 1.95/2.20 dependent: set(knuth_bendix).
% 1.95/2.20 dependent: set(anl_eq).
% 1.95/2.20 dependent: set(para_from).
% 1.95/2.20 dependent: set(para_into).
% 1.95/2.20 dependent: clear(para_from_right).
% 1.95/2.20 dependent: clear(para_into_right).
% 1.95/2.20 dependent: set(para_from_vars).
% 1.95/2.20 dependent: set(eq_units_both_ways).
% 1.95/2.20 dependent: set(dynamic_demod_all).
% 1.95/2.20 dependent: set(dynamic_demod).
% 1.95/2.20 dependent: set(order_eq).
% 1.95/2.20 dependent: set(back_demod).
% 1.95/2.20 dependent: set(lrpo).
% 1.95/2.20
% 1.95/2.20 ------------> process usable:
% 1.95/2.20 ** KEPT (pick-wt=11): 2 [copy,1,flip.1] multiply(multiply(a,b),c)!=multiply(a,multiply(b,c)).
% 1.95/2.20
% 1.95/2.20 ------------> process sos:
% 1.95/2.20 ** KEPT (pick-wt=3): 3 [] A=A.
% 1.95/2.20 ** KEPT (pick-wt=20): 4 [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D)))))=C.
% 1.95/2.20 ---> New Demodulator: 5 [new_demod,4] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D)))))=C.
% 1.95/2.20 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.95/2.20 >>>> Starting back demodulation with 5.
% 1.95/2.20
% 1.95/2.20 ======= end of input processing =======
% 1.95/2.20
% 1.95/2.20 =========== start of search ===========
% 1.95/2.20
% 1.95/2.20
% 1.95/2.20 Resetting weight limit to 26.
% 1.95/2.20
% 1.95/2.20
% 1.95/2.20 Resetting weight limit to 26.
% 1.95/2.20
% 1.95/2.20 sos_size=126
% 1.95/2.20
% 1.95/2.20
% 1.95/2.20 Resetting weight limit to 15.
% 1.95/2.20
% 1.95/2.20
% 1.95/2.20 Resetting weight limit to 15.
% 1.95/2.20
% 1.95/2.20 sos_size=521
% 1.95/2.20
% 1.95/2.20
% 1.95/2.20 Resetting weight limit to 12.
% 1.95/2.20
% 1.95/2.20
% 1.95/2.20 Resetting weight limit to 12.
% 1.95/2.20
% 1.95/2.20 sos_size=4
% 1.95/2.20
% 1.95/2.20 -------- PROOF --------
% 1.95/2.20
% 1.95/2.20 ----> UNIT CONFLICT at 0.18 sec ----> 1221 [binary,1219.1,2.1] $F.
% 1.95/2.20
% 1.95/2.20 Length of proof is 66. Level of proof is 32.
% 1.95/2.20
% 1.95/2.20 ---------------- PROOF ----------------
% 1.95/2.20 % SZS status Unsatisfiable
% 1.95/2.20 % SZS output start Refutation
% See solution above
% 1.95/2.21 ------------ end of proof -------------
% 1.95/2.21
% 1.95/2.21
% 1.95/2.21 Search stopped by max_proofs option.
% 1.95/2.21
% 1.95/2.21
% 1.95/2.21 Search stopped by max_proofs option.
% 1.95/2.21
% 1.95/2.21 ============ end of search ============
% 1.95/2.21
% 1.95/2.21 -------------- statistics -------------
% 1.95/2.21 clauses given 70
% 1.95/2.21 clauses generated 6358
% 1.95/2.21 clauses kept 829
% 1.95/2.21 clauses forward subsumed 2396
% 1.95/2.21 clauses back subsumed 42
% 1.95/2.21 Kbytes malloced 8789
% 1.95/2.21
% 1.95/2.21 ----------- times (seconds) -----------
% 1.95/2.21 user CPU time 0.18 (0 hr, 0 min, 0 sec)
% 1.95/2.21 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.95/2.21 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.95/2.21
% 1.95/2.21 That finishes the proof of the theorem.
% 1.95/2.21
% 1.95/2.21 Process 27903 finished Wed Jul 27 05:26:32 2022
% 1.95/2.21 Otter interrupted
% 1.95/2.21 PROOF FOUND
%------------------------------------------------------------------------------