TSTP Solution File: GRP427-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP427-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n013.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 : 600s
% DateTime : Sat Jul 16 08:46:57 EDT 2022
% Result : Unsatisfiable 0.74s 1.49s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 1
% Syntax : Number of clauses : 84 ( 84 unt; 0 nHn; 2 RR)
% Number of literals : 84 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 249 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))),C),
file('GRP427-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(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,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),C))),D),inverse(multiply(A,D)))),multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(E),C)),F),inverse(multiply(E,F)))))),
inference(flip,[status(thm),theory(equality)],[3]),
[iquote('flip(3)')] ).
cnf(12,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(inverse(B),C)))),D),inverse(multiply(A,D)))),C),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(34,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),inverse(multiply(B,D)))))),C),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(56,plain,
equal(multiply(inverse(A),multiply(A,B)),multiply(inverse(inverse(C)),multiply(inverse(C),B))),
inference(para,[status(thm),theory(equality)],[12,34]),
[iquote('para(12,34)')] ).
cnf(57,plain,
equal(multiply(inverse(inverse(A)),multiply(inverse(A),B)),multiply(inverse(C),multiply(C,B))),
inference(flip,[status(thm),theory(equality)],[56]),
[iquote('flip(56)')] ).
cnf(64,plain,
equal(multiply(inverse(inverse(inverse(A))),multiply(inverse(B),multiply(B,C))),multiply(inverse(inverse(D)),multiply(inverse(D),multiply(inverse(A),C)))),
inference(para,[status(thm),theory(equality)],[57,56]),
[iquote('para(57,56)')] ).
cnf(82,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),D),inverse(multiply(inverse(A),D))))),C),
inference(para,[status(thm),theory(equality)],[57,1]),
[iquote('para(57,1)')] ).
cnf(134,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(D,B))),E),inverse(multiply(inverse(inverse(multiply(inverse(C),F))),E)))))))))),F),
inference(para,[status(thm),theory(equality)],[82,34]),
[iquote('para(82,34)')] ).
cnf(262,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(inverse(B)),multiply(inverse(B),multiply(inverse(C),D)))),E),inverse(multiply(inverse(inverse(C)),E))))),multiply(A,D)),
inference(para,[status(thm),theory(equality)],[64,1]),
[iquote('para(64,1)')] ).
cnf(264,plain,
equal(multiply(inverse(A),multiply(A,B)),multiply(inverse(C),multiply(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[64,34]),262]),
[iquote('para(64,34),demod([262])')] ).
cnf(289,plain,
equal(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,[status(thm),theory(equality)],[264,34]),
[iquote('para(264,34)')] ).
cnf(293,plain,
equal(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,[status(thm),theory(equality)],[264,82]),
[iquote('para(264,82)')] ).
cnf(628,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(D,B))),E),inverse(multiply(inverse(inverse(multiply(inverse(F),multiply(F,G)))),E)))))))))),multiply(C,G)),
inference(para,[status(thm),theory(equality)],[82,289]),
[iquote('para(82,289)')] ).
cnf(655,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,inverse(C)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[34,293]),34]),
[iquote('para(34,293),demod([34])')] ).
cnf(660,plain,
equal(multiply(inverse(multiply(inverse(A),multiply(A,B))),B),multiply(inverse(C),multiply(C,inverse(multiply(D,inverse(D)))))),
inference(para,[status(thm),theory(equality)],[655,264]),
[iquote('para(655,264)')] ).
cnf(698,plain,
equal(multiply(inverse(multiply(inverse(A),multiply(A,B))),B),multiply(inverse(multiply(inverse(C),multiply(C,D))),D)),
inference(para,[status(thm),theory(equality)],[655,289]),
[iquote('para(655,289)')] ).
cnf(755,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),C),inverse(multiply(D,E)))))),multiply(D,E)),
inference(para,[status(thm),theory(equality)],[698,34]),
[iquote('para(698,34)')] ).
cnf(763,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),C),inverse(D))))),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[655,755]),655]),
[iquote('para(655,755),demod([655])')] ).
cnf(801,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))),inverse(multiply(inverse(A),D))))),D),
inference(para,[status(thm),theory(equality)],[660,1]),
[iquote('para(660,1)')] ).
cnf(805,plain,
equal(multiply(A,inverse(inverse(multiply(B,inverse(B))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[655,801]),
[iquote('para(655,801)')] ).
cnf(806,plain,
equal(inverse(inverse(A)),multiply(A,inverse(inverse(multiply(B,inverse(B)))))),
inference(flip,[status(thm),theory(equality)],[805]),
[iquote('flip(805)')] ).
cnf(807,plain,
equal(multiply(A,multiply(multiply(B,inverse(B)),inverse(inverse(multiply(C,inverse(C)))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[806,805]),
[iquote('para(806,805)')] ).
cnf(809,plain,
equal(multiply(inverse(A),inverse(inverse(A))),multiply(inverse(B),multiply(B,inverse(inverse(multiply(C,inverse(C))))))),
inference(para,[status(thm),theory(equality)],[805,264]),
[iquote('para(805,264)')] ).
cnf(810,plain,
equal(multiply(inverse(A),multiply(A,inverse(inverse(multiply(B,inverse(B)))))),multiply(inverse(C),inverse(inverse(C)))),
inference(flip,[status(thm),theory(equality)],[809]),
[iquote('flip(809)')] ).
cnf(824,plain,
equal(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,inverse(C)),inverse(inverse(multiply(D,inverse(D))))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[806,807]),
[iquote('para(806,807)')] ).
cnf(825,plain,
equal(inverse(inverse(A)),multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,inverse(C)),inverse(inverse(multiply(D,inverse(D)))))))),
inference(flip,[status(thm),theory(equality)],[824]),
[iquote('flip(824)')] ).
cnf(913,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),inverse(inverse(multiply(D,inverse(D))))),inverse(inverse(inverse(B))))))),C),
inference(para,[status(thm),theory(equality)],[805,34]),
[iquote('para(805,34)')] ).
cnf(980,plain,
equal(multiply(inverse(A),inverse(inverse(A))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(para,[status(thm),theory(equality)],[810,807]),
[iquote('para(810,807)')] ).
cnf(981,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(inverse(B),inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[980]),
[iquote('flip(980)')] ).
cnf(982,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(para,[status(thm),theory(equality)],[980,805]),
[iquote('para(980,805)')] ).
cnf(1055,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(inverse(B)),C)),inverse(inverse(B))),inverse(inverse(inverse(inverse(multiply(D,inverse(D)))))))))),C),
inference(para,[status(thm),theory(equality)],[980,34]),
[iquote('para(980,34)')] ).
cnf(1088,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(multiply(B,inverse(B))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[982,763]),763]),
[iquote('para(982,763),demod([763])')] ).
cnf(1089,plain,
equal(inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))),inverse(inverse(multiply(B,inverse(B))))),
inference(para,[status(thm),theory(equality)],[805,1088]),
[iquote('para(805,1088)')] ).
cnf(1090,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))))),
inference(flip,[status(thm),theory(equality)],[1089]),
[iquote('flip(1089)')] ).
cnf(1108,plain,
equal(multiply(A,inverse(inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[1090,805]),
[iquote('para(1090,805)')] ).
cnf(1112,plain,
equal(multiply(A,multiply(inverse(inverse(inverse(multiply(B,inverse(B))))),inverse(inverse(multiply(C,inverse(C)))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[806,1108]),
[iquote('para(806,1108)')] ).
cnf(1113,plain,
equal(inverse(inverse(A)),multiply(A,multiply(inverse(inverse(inverse(multiply(B,inverse(B))))),inverse(inverse(multiply(C,inverse(C))))))),
inference(flip,[status(thm),theory(equality)],[1112]),
[iquote('flip(1112)')] ).
cnf(1339,plain,
equal(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1088,763]),763]),
[iquote('para(1088,763),demod([763])')] ).
cnf(1344,plain,
equal(inverse(multiply(inverse(A),multiply(A,inverse(inverse(multiply(B,inverse(B))))))),inverse(multiply(C,inverse(C)))),
inference(para,[status(thm),theory(equality)],[806,1339]),
[iquote('para(806,1339)')] ).
cnf(1401,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1344,1339]),655]),
[iquote('para(1344,1339),demod([655])')] ).
cnf(1402,plain,
equal(inverse(multiply(A,inverse(A))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(flip,[status(thm),theory(equality)],[1401]),
[iquote('flip(1401)')] ).
cnf(1431,plain,
equal(inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[1402,1401]),
[iquote('para(1402,1401)')] ).
cnf(1451,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(C)))))),B),
inference(para,[status(thm),theory(equality)],[1402,655]),
[iquote('para(1402,655)')] ).
cnf(1501,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),multiply(inverse(multiply(C,inverse(C))),inverse(inverse(multiply(D,inverse(D)))))),B),
inference(para,[status(thm),theory(equality)],[806,1451]),
[iquote('para(806,1451)')] ).
cnf(1507,plain,
equal(inverse(inverse(multiply(inverse(A),inverse(inverse(A))))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[981,1431]),
[iquote('para(981,1431)')] ).
cnf(1513,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[1339,1507]),
[iquote('para(1339,1507)')] ).
cnf(1514,plain,
equal(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B))))),
inference(flip,[status(thm),theory(equality)],[1513]),
[iquote('flip(1513)')] ).
cnf(1517,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[1513,805]),
[iquote('para(1513,805)')] ).
cnf(1532,plain,
equal(multiply(inverse(A),inverse(inverse(A))),multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C)))))),
inference(para,[status(thm),theory(equality)],[1517,264]),
[iquote('para(1517,264)')] ).
cnf(1533,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(B))))),multiply(inverse(C),inverse(inverse(C)))),
inference(flip,[status(thm),theory(equality)],[1532]),
[iquote('flip(1532)')] ).
cnf(1547,plain,
equal(inverse(inverse(multiply(inverse(A),multiply(A,B)))),B),
inference(para,[status(thm),theory(equality)],[1517,655]),
[iquote('para(1517,655)')] ).
cnf(1572,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(D,B))),E),inverse(multiply(F,E)))))))))),multiply(C,F)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[628]),1547]),
[iquote('back_demod(628),demod([1547])')] ).
cnf(1573,plain,
equal(multiply(A,inverse(inverse(multiply(inverse(A),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[134]),1572]),
[iquote('back_demod(134),demod([1572])')] ).
cnf(1586,plain,
equal(inverse(inverse(multiply(inverse(inverse(A)),B))),multiply(A,inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1573,1573]),1]),
[iquote('para(1573,1573),flip(1)')] ).
cnf(1625,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(inverse(multiply(B,inverse(B))),C)))),C),
inference(para,[status(thm),theory(equality)],[1513,1573]),
[iquote('para(1513,1573)')] ).
cnf(1626,plain,
equal(multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(inverse(C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1514,1573]),1586]),
[iquote('para(1514,1573),demod([1586])')] ).
cnf(1631,plain,
equal(inverse(inverse(A)),multiply(A,multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[825]),1626]),
[iquote('back_demod(825),demod([1626])')] ).
cnf(1632,plain,
equal(multiply(A,multiply(B,inverse(B))),inverse(inverse(A))),
inference(flip,[status(thm),theory(equality)],[1631]),
[iquote('flip(1631)')] ).
cnf(1666,plain,
equal(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),inverse(inverse(C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1402,1573]),1586]),
[iquote('para(1402,1573),demod([1586])')] ).
cnf(1670,plain,
equal(multiply(inverse(A),multiply(A,inverse(inverse(B)))),B),
inference(para,[status(thm),theory(equality)],[1586,1573]),
[iquote('para(1586,1573)')] ).
cnf(1904,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(C,inverse(C)))))),inverse(B)),
inference(para,[status(thm),theory(equality)],[1631,1670]),
[iquote('para(1631,1670)')] ).
cnf(1908,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1670,1632]),1]),
[iquote('para(1670,1632),flip(1)')] ).
cnf(1959,plain,
equal(inverse(multiply(inverse(multiply(inverse(inverse(A)),B)),inverse(inverse(A)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1055]),1908,1904]),
[iquote('back_demod(1055),demod([1908,1904])')] ).
cnf(1976,plain,
equal(multiply(inverse(A),multiply(A,B)),inverse(inverse(B))),
inference(para,[status(thm),theory(equality)],[1908,1670]),
[iquote('para(1908,1670)')] ).
cnf(2080,plain,
equal(inverse(inverse(multiply(A,B))),multiply(inverse(inverse(A)),inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1976,1976]),1]),
[iquote('para(1976,1976),flip(1)')] ).
cnf(2138,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))))),inverse(inverse(C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1625]),2080,2080]),
[iquote('back_demod(1625),demod([2080,2080])')] ).
cnf(2147,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),multiply(inverse(multiply(C,inverse(C))),multiply(inverse(inverse(D)),inverse(inverse(inverse(D)))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1501]),2080]),
[iquote('back_demod(1501),demod([2080])')] ).
cnf(2164,plain,
equal(inverse(inverse(A)),multiply(A,multiply(inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))))),multiply(inverse(inverse(C)),inverse(inverse(inverse(C))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1113]),2080,2080]),
[iquote('back_demod(1113),demod([2080,2080])')] ).
cnf(2165,plain,
equal(multiply(A,multiply(inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))))),multiply(inverse(inverse(C)),inverse(inverse(inverse(C)))))),inverse(inverse(A))),
inference(flip,[status(thm),theory(equality)],[2164]),
[iquote('flip(2164)')] ).
cnf(2172,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),multiply(inverse(inverse(D)),inverse(inverse(inverse(D))))),inverse(inverse(inverse(B))))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[913]),2080]),
[iquote('back_demod(913),demod([2080])')] ).
cnf(2199,plain,
equal(inverse(multiply(inverse(multiply(A,B)),A)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1908,1959]),1908]),
[iquote('para(1908,1959),demod([1908])')] ).
cnf(2207,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1632,2199]),2080,2080,2080,2080,1908,1908,1908]),
[iquote('para(1632,2199),demod([2080,2080,2080,2080,1908,1908,1908])')] ).
cnf(2211,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1666]),2207]),
[iquote('back_demod(1666),demod([2207])')] ).
cnf(2212,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2138]),2211]),
[iquote('back_demod(2138),demod([2211])')] ).
cnf(2213,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2211]),2212]),
[iquote('back_demod(2211),demod([2212])')] ).
cnf(2230,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),multiply(D,inverse(D))),inverse(B))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2172]),2213,2213,2213]),
[iquote('back_demod(2172),demod([2213,2213,2213])')] ).
cnf(2232,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2165]),2213,2213,2213,2213,2212,2213]),
[iquote('back_demod(2165),demod([2213,2213,2213,2213,2212,2213])')] ).
cnf(2234,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2230]),2232,2199]),
[iquote('back_demod(2230),demod([2232,2199])')] ).
cnf(2244,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2147]),2234,2213,2213,2232]),
[iquote('back_demod(2147),demod([2234,2213,2213,2232])')] ).
cnf(2248,plain,
equal(multiply(inverse(A),A),multiply(inverse(B),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1533]),2244,2213]),
[iquote('back_demod(1533),demod([2244,2213])')] ).
cnf(2249,plain,
$false,
inference(conflict,[status(thm)],[2248,2]),
[iquote('conflict(2248,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP427-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 07:34:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.49 ----- EQP 0.9e, May 2009 -----
% 0.74/1.49 The job began on n013.cluster.edu, Tue Jun 14 07:34:59 2022
% 0.74/1.49 The command was "./eqp09e".
% 0.74/1.49
% 0.74/1.49 set(prolog_style_variables).
% 0.74/1.49 set(lrpo).
% 0.74/1.49 set(basic_paramod).
% 0.74/1.49 set(functional_subsume).
% 0.74/1.49 set(ordered_paramod).
% 0.74/1.49 set(prime_paramod).
% 0.74/1.49 set(para_pairs).
% 0.74/1.49 assign(pick_given_ratio,4).
% 0.74/1.49 clear(print_kept).
% 0.74/1.49 clear(print_new_demod).
% 0.74/1.49 clear(print_back_demod).
% 0.74/1.49 clear(print_given).
% 0.74/1.49 assign(max_mem,64000).
% 0.74/1.49 end_of_commands.
% 0.74/1.49
% 0.74/1.49 Usable:
% 0.74/1.49 end_of_list.
% 0.74/1.49
% 0.74/1.49 Sos:
% 0.74/1.49 0 (wt=-1) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 0.74/1.49 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 0.74/1.49 end_of_list.
% 0.74/1.49
% 0.74/1.49 Demodulators:
% 0.74/1.49 end_of_list.
% 0.74/1.49
% 0.74/1.49 Passive:
% 0.74/1.49 end_of_list.
% 0.74/1.49
% 0.74/1.49 Starting to process input.
% 0.74/1.49
% 0.74/1.49 ** KEPT: 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 0.74/1.49 1 is a new demodulator.
% 0.74/1.49
% 0.74/1.49 ** KEPT: 2 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.74/1.49 ---------------- PROOF FOUND ----------------
% 0.74/1.49 % SZS status Unsatisfiable
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 After processing input:
% 0.74/1.49
% 0.74/1.49 Usable:
% 0.74/1.49 end_of_list.
% 0.74/1.49
% 0.74/1.49 Sos:
% 0.74/1.49 2 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.74/1.49 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 0.74/1.49 end_of_list.
% 0.74/1.49
% 0.74/1.49 Demodulators:
% 0.74/1.49 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 0.74/1.49 end_of_list.
% 0.74/1.49
% 0.74/1.49 Passive:
% 0.74/1.49 end_of_list.
% 0.74/1.49
% 0.74/1.49 UNIT CONFLICT from 2248 and 2 at 0.31 seconds.
% 0.74/1.49
% 0.74/1.49 ---------------- PROOF ----------------
% 0.74/1.49 % SZS output start Refutation
% See solution above
% 0.74/1.49 ------------ end of proof -------------
% 0.74/1.49
% 0.74/1.49
% 0.74/1.49 ------------- memory usage ------------
% 0.74/1.49 Memory dynamically allocated (tp_alloc): 8789.
% 0.74/1.49 type (bytes each) gets frees in use avail bytes
% 0.74/1.49 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.74/1.49 term ( 16) 340158 235707 104451 40 2032.0 K
% 0.74/1.49 gen_ptr ( 8) 843290 133408 709882 83 5546.6 K
% 0.74/1.49 context ( 808) 220735 220733 2 6 6.3 K
% 0.74/1.49 trail ( 12) 32000 32000 0 15 0.2 K
% 0.74/1.49 bt_node ( 68) 20571 20568 3 41 2.9 K
% 0.74/1.49 ac_position (285432) 0 0 0 0 0.0 K
% 0.74/1.49 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.74/1.49 ac_match_free_vars_pos (4020)
% 0.74/1.49 0 0 0 0 0.0 K
% 0.74/1.49 discrim ( 12) 64318 58324 5994 43387 578.7 K
% 0.74/1.49 flat ( 40) 1262988 1262988 0 113 4.4 K
% 0.74/1.49 discrim_pos ( 12) 9004 9004 0 1 0.0 K
% 0.74/1.49 fpa_head ( 12) 7124 0 7124 0 83.5 K
% 0.74/1.49 fpa_tree ( 28) 5443 5443 0 19 0.5 K
% 0.74/1.49 fpa_pos ( 36) 2935 2935 0 1 0.0 K
% 0.74/1.49 literal ( 12) 9915 7667 2248 1 26.4 K
% 0.74/1.49 clause ( 24) 9915 7667 2248 1 52.7 K
% 0.74/1.49 list ( 12) 746 683 63 1 0.8 K
% 0.74/1.49 list_pos ( 20) 11996 8414 3582 2113 111.2 K
% 0.74/1.49 pair_index ( 40) 2 0 2 0 0.1 K
% 0.74/1.49
% 0.74/1.49 -------------- statistics -------------
% 0.74/1.49 Clauses input 2
% 0.74/1.49 Usable input 0
% 0.74/1.49 Sos input 2
% 0.74/1.49 Demodulators input 0
% 0.74/1.49 Passive input 0
% 0.74/1.49
% 0.74/1.49 Processed BS (before search) 2
% 0.74/1.49 Forward subsumed BS 0
% 0.74/1.49 Kept BS 2
% 0.74/1.49 New demodulators BS 1
% 0.74/1.49 Back demodulated BS 0
% 0.74/1.49
% 0.74/1.49 Clauses or pairs given 1778
% 0.74/1.49 Clauses generated 5176
% 0.74/1.49 Forward subsumed 2930
% 0.74/1.49 Deleted by weight 0
% 0.74/1.49 Deleted by variable count 0
% 0.74/1.49 Kept 2246
% 0.74/1.49 New demodulators 686
% 0.74/1.49 Back demodulated 1929
% 0.74/1.49 Ordered paramod prunes 0
% 0.74/1.49 Basic paramod prunes 15493
% 0.74/1.49 Prime paramod prunes 7
% 0.74/1.49 Semantic prunes 0
% 0.74/1.49
% 0.74/1.49 Rewrite attmepts 179037
% 0.74/1.49 Rewrites 7179
% 0.74/1.49
% 0.74/1.49 FPA overloads 0
% 0.74/1.49 FPA underloads 0
% 0.74/1.49
% 0.74/1.49 Usable size 0
% 0.74/1.49 Sos size 318
% 0.74/1.49 Demodulators size 154
% 0.74/1.49 Passive size 0
% 0.74/1.49 Disabled size 1929
% 0.74/1.49
% 0.74/1.49 Proofs found 1
% 0.74/1.49
% 0.74/1.49 ----------- times (seconds) ----------- Tue Jun 14 07:35:00 2022
% 0.74/1.49
% 0.74/1.49 user CPU time 0.31 (0 hr, 0 min, 0 sec)
% 0.74/1.49 system CPU time 0.08 (0 hr, 0 min, 0 sec)
% 0.74/1.49 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 0.74/1.49 input time 0.00
% 0.74/1.49 paramodulation time 0.02
% 0.74/1.49 demodulation time 0.06
% 0.74/1.49 orient time 0.02
% 0.74/1.49 weigh time 0.01
% 0.74/1.49 forward subsume time 0.02
% 0.74/1.49 back demod find time 0.02
% 0.74/1.49 conflict time 0.00
% 0.74/1.49 LRPO time 0.01
% 0.74/1.49 store clause time 0.10
% 0.74/1.49 disable clause time 0.02
% 0.74/1.49 prime paramod time 0.01
% 0.74/1.49 semantics time 0.00
% 0.74/1.49
% 0.74/1.49 EQP interrupted
%------------------------------------------------------------------------------