TSTP Solution File: GRP437-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP437-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n003.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 08:47:10 EDT 2022
% Result : Unsatisfiable 0.75s 1.36s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 2
% Syntax : Number of clauses : 104 ( 104 unt; 0 nHn; 2 RR)
% Number of literals : 104 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 377 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))),D),
file('GRP437-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
file('GRP437-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),E)))),multiply(F,multiply(multiply(inverse(F),inverse(D)),A))))),E),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,D))),inverse(E))),multiply(E,multiply(C,A))))),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,multiply(E,A))))),inverse(multiply(F,multiply(G,multiply(multiply(inverse(G),inverse(multiply(C,F))),E))))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(8,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(E,inverse(multiply(multiply(F,multiply(multiply(inverse(F),inverse(C)),inverse(G))),multiply(G,multiply(D,E)))))),
inference(flip,[status(thm),theory(equality)],[7]),
[iquote('flip(7)')] ).
cnf(14,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),multiply(D,multiply(E,A))))),multiply(F,multiply(multiply(inverse(F),inverse(multiply(C,E))),inverse(B)))),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(25,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,multiply(E,multiply(B,inverse(C))))))))),inverse(E))),D),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,14]),1]),
[iquote('para(1,14),flip(1)')] ).
cnf(35,plain,
equal(multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(A,multiply(D,inverse(B)))))),C))),D),
inference(para,[status(thm),theory(equality)],[25,1]),
[iquote('para(25,1)')] ).
cnf(39,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),multiply(inverse(E),inverse(multiply(B,multiply(C,multiply(D,inverse(E))))))),
inference(para,[status(thm),theory(equality)],[35,1]),
[iquote('para(35,1)')] ).
cnf(40,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,inverse(A)))))),multiply(E,inverse(multiply(B,multiply(C,multiply(D,E)))))),
inference(flip,[status(thm),theory(equality)],[39]),
[iquote('flip(39)')] ).
cnf(50,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),multiply(D,multiply(multiply(E,inverse(multiply(F,multiply(B,multiply(C,E))))),A))))),F),
inference(para,[status(thm),theory(equality)],[40,1]),
[iquote('para(40,1)')] ).
cnf(69,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(C,inverse(multiply(D,multiply(E,multiply(F,C))))),inverse(G))),multiply(G,multiply(D,A))))),multiply(E,multiply(F,inverse(B)))),
inference(para,[status(thm),theory(equality)],[50,1]),
[iquote('para(50,1)')] ).
cnf(107,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,D),A))),C)))),D),
inference(para,[status(thm),theory(equality)],[7,4]),
[iquote('para(7,4)')] ).
cnf(111,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,D),E))),C)),multiply(F,multiply(multiply(inverse(F),D),A))))),E),
inference(para,[status(thm),theory(equality)],[107,1]),
[iquote('para(107,1)')] ).
cnf(125,plain,
equal(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(E))),multiply(E,multiply(A,B)))))),D),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(130,plain,
equal(multiply(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(A)))))),B),D),
inference(para,[status(thm),theory(equality)],[1,125]),
[iquote('para(1,125)')] ).
cnf(133,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,C)))),A),
inference(para,[status(thm),theory(equality)],[130,1]),
[iquote('para(130,1)')] ).
cnf(138,plain,
equal(multiply(A,inverse(multiply(multiply(B,C),multiply(D,multiply(inverse(D),A))))),multiply(E,multiply(multiply(inverse(E),inverse(C)),inverse(B)))),
inference(para,[status(thm),theory(equality)],[133,1]),
[iquote('para(133,1)')] ).
cnf(149,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B))),inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(multiply(E,F))),inverse(G))),multiply(G,E)))),F),
inference(para,[status(thm),theory(equality)],[133,4]),
[iquote('para(133,4)')] ).
cnf(165,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(inverse(B),inverse(C))),multiply(C,multiply(multiply(D,multiply(multiply(inverse(D),inverse(E)),inverse(F))),A))))),multiply(F,E)),
inference(para,[status(thm),theory(equality)],[138,1]),
[iquote('para(138,1)')] ).
cnf(356,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,D))),C)),multiply(E,multiply(inverse(E),A))))),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[133,111]),133]),
[iquote('para(133,111),demod([133])')] ).
cnf(359,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(inverse(B),inverse(C))),multiply(C,multiply(D,A))))),multiply(E,multiply(multiply(inverse(E),inverse(multiply(F,D))),F))),
inference(para,[status(thm),theory(equality)],[356,1]),
[iquote('para(356,1)')] ).
cnf(360,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),B)),multiply(D,inverse(multiply(multiply(E,multiply(inverse(E),inverse(F))),multiply(F,multiply(C,D)))))),
inference(flip,[status(thm),theory(equality)],[359]),
[iquote('flip(359)')] ).
cnf(406,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,multiply(E,multiply(inverse(E),inverse(C))))))))),B)),D),
inference(para,[status(thm),theory(equality)],[359,1]),
[iquote('para(359,1)')] ).
cnf(415,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(inverse(D),inverse(B)))))),C))),A),
inference(para,[status(thm),theory(equality)],[406,1]),
[iquote('para(406,1)')] ).
cnf(421,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,multiply(inverse(C),A))))),multiply(inverse(D),inverse(multiply(B,multiply(E,multiply(inverse(E),inverse(D))))))),
inference(para,[status(thm),theory(equality)],[415,1]),
[iquote('para(415,1)')] ).
cnf(422,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(A)))))),multiply(D,inverse(multiply(B,multiply(E,multiply(inverse(E),D)))))),
inference(flip,[status(thm),theory(equality)],[421]),
[iquote('flip(421)')] ).
cnf(445,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(A)))))),B)),inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(multiply(E,F))),E)),multiply(G,inverse(G))))),F),
inference(para,[status(thm),theory(equality)],[415,356]),
[iquote('para(415,356)')] ).
cnf(454,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(inverse(B),inverse(C))),multiply(C,multiply(multiply(D,inverse(multiply(E,multiply(F,multiply(inverse(F),D))))),A))))),E),
inference(para,[status(thm),theory(equality)],[422,1]),
[iquote('para(422,1)')] ).
cnf(505,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B))),inverse(multiply(D,multiply(E,inverse(E))))),multiply(inverse(F),inverse(multiply(D,multiply(G,multiply(inverse(G),inverse(F))))))),
inference(para,[status(thm),theory(equality)],[133,421]),
[iquote('para(133,421)')] ).
cnf(506,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(A)))))),multiply(inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(E)),inverse(F))),multiply(F,E))),inverse(multiply(B,multiply(G,inverse(G)))))),
inference(flip,[status(thm),theory(equality)],[505]),
[iquote('flip(505)')] ).
cnf(581,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,multiply(inverse(D),inverse(E))),multiply(E,multiply(B,C)))))))),A),
inference(para,[status(thm),theory(equality)],[360,1]),
[iquote('para(360,1)')] ).
cnf(584,plain,
equal(multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(inverse(C),inverse(D))),multiply(D,multiply(A,B))))))),inverse(multiply(E,multiply(F,multiply(inverse(F),inverse(multiply(G,E))))))),G),
inference(para,[status(thm),theory(equality)],[581,1]),
[iquote('para(581,1)')] ).
cnf(606,plain,
equal(multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(inverse(C),inverse(D))),multiply(D,multiply(A,B))))))),inverse(multiply(multiply(E,multiply(multiply(inverse(E),inverse(multiply(F,G))),inverse(H))),multiply(H,F)))),G),
inference(para,[status(thm),theory(equality)],[581,4]),
[iquote('para(581,4)')] ).
cnf(629,plain,
equal(multiply(A,multiply(inverse(A),inverse(B))),multiply(C,multiply(inverse(C),inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[454,1]),69]),
[iquote('para(454,1),demod([69])')] ).
cnf(640,plain,
equal(multiply(A,multiply(inverse(A),B)),multiply(C,multiply(inverse(C),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[107,629]),107]),
[iquote('para(107,629),demod([107])')] ).
cnf(653,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[133,640]),133]),
[iquote('para(133,640),demod([133])')] ).
cnf(656,plain,
equal(multiply(A,multiply(B,inverse(B))),multiply(C,multiply(inverse(C),inverse(inverse(A))))),
inference(para,[status(thm),theory(equality)],[653,640]),
[iquote('para(653,640)')] ).
cnf(665,plain,
equal(multiply(A,multiply(B,multiply(inverse(B),inverse(inverse(inverse(A)))))),multiply(C,multiply(inverse(C),multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[656,640]),
[iquote('para(656,640)')] ).
cnf(666,plain,
equal(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))),multiply(C,multiply(D,multiply(inverse(D),inverse(inverse(inverse(C))))))),
inference(flip,[status(thm),theory(equality)],[665]),
[iquote('flip(665)')] ).
cnf(672,plain,
equal(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B)),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[133,653]),
[iquote('para(133,653)')] ).
cnf(673,plain,
equal(multiply(A,inverse(A)),multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,C))),
inference(flip,[status(thm),theory(equality)],[672]),
[iquote('flip(672)')] ).
cnf(792,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(inverse(inverse(B))))))),multiply(D,multiply(inverse(D),multiply(inverse(inverse(A)),multiply(E,inverse(E)))))),
inference(para,[status(thm),theory(equality)],[666,640]),
[iquote('para(666,640)')] ).
cnf(793,plain,
equal(multiply(A,multiply(inverse(A),multiply(inverse(inverse(B)),multiply(C,inverse(C))))),multiply(B,multiply(D,multiply(E,multiply(inverse(E),inverse(inverse(inverse(D)))))))),
inference(flip,[status(thm),theory(equality)],[792]),
[iquote('flip(792)')] ).
cnf(1015,plain,
equal(multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(inverse(C),A))))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[673,1]),133]),
[iquote('para(673,1),demod([133])')] ).
cnf(1017,plain,
equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),multiply(A,multiply(C,inverse(C)))))),B),
inference(para,[status(thm),theory(equality)],[653,1015]),
[iquote('para(653,1015)')] ).
cnf(1028,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),multiply(C,multiply(D,multiply(inverse(D),inverse(inverse(inverse(C))))))))),B),
inference(para,[status(thm),theory(equality)],[656,1015]),
[iquote('para(656,1015)')] ).
cnf(1031,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,multiply(D,inverse(D))))))),multiply(inverse(C),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1017,640]),1]),
[iquote('para(1017,640),flip(1)')] ).
cnf(1115,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(inverse(B),inverse(C))),multiply(C,multiply(D,A))))),inverse(D)),
inference(para,[status(thm),theory(equality)],[1015,1]),
[iquote('para(1015,1)')] ).
cnf(1124,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,D))),inverse(E))),multiply(E,C)))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[606]),1115]),
[iquote('back_demod(606),demod([1115])')] ).
cnf(1127,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(D,B))))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[584]),1115]),
[iquote('back_demod(584),demod([1115])')] ).
cnf(1129,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[581]),1115]),
[iquote('back_demod(581),demod([1115])')] ).
cnf(1132,plain,
equal(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(inverse(C),A)))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[454]),1115]),
[iquote('back_demod(454),demod([1115])')] ).
cnf(1136,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),B)),inverse(C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[360]),1115]),
[iquote('back_demod(360),demod([1115])')] ).
cnf(1146,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(A)))))),B)),inverse(multiply(inverse(D),multiply(E,inverse(E))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[445]),1136]),
[iquote('back_demod(445),demod([1136])')] ).
cnf(1168,plain,
equal(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C)))),multiply(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[165]),1115]),
[iquote('back_demod(165),demod([1115])')] ).
cnf(1193,plain,
equal(inverse(multiply(A,multiply(multiply(B,inverse(B)),inverse(C)))),multiply(C,inverse(A))),
inference(para,[status(thm),theory(equality)],[653,1168]),
[iquote('para(653,1168)')] ).
cnf(1194,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),multiply(multiply(inverse(A),inverse(C)),C)),
inference(para,[status(thm),theory(equality)],[653,1168]),
[iquote('para(653,1168)')] ).
cnf(1195,plain,
equal(multiply(multiply(inverse(A),inverse(B)),B),inverse(multiply(A,multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[1194]),
[iquote('flip(1194)')] ).
cnf(1201,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(B)))),multiply(multiply(C,inverse(C)),B)),
inference(para,[status(thm),theory(equality)],[1129,1168]),
[iquote('para(1129,1168)')] ).
cnf(1202,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(multiply(C,multiply(inverse(C),inverse(B))))),
inference(flip,[status(thm),theory(equality)],[1201]),
[iquote('flip(1201)')] ).
cnf(1209,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),multiply(multiply(C,inverse(C)),inverse(A))),
inference(para,[status(thm),theory(equality)],[653,1193]),
[iquote('para(653,1193)')] ).
cnf(1216,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),multiply(inverse(A),inverse(inverse(multiply(C,inverse(C)))))),
inference(para,[status(thm),theory(equality)],[1195,1129]),
[iquote('para(1195,1129)')] ).
cnf(1217,plain,
equal(multiply(inverse(A),inverse(inverse(multiply(B,inverse(B))))),inverse(multiply(A,multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[1216]),
[iquote('flip(1216)')] ).
cnf(1239,plain,
equal(multiply(A,multiply(B,inverse(multiply(B,multiply(C,inverse(C)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1209,1129]),1193]),
[iquote('para(1209,1129),demod([1193])')] ).
cnf(1289,plain,
equal(multiply(inverse(multiply(inverse(A),multiply(B,inverse(B)))),inverse(multiply(inverse(C),A))),C),
inference(para,[status(thm),theory(equality)],[1239,1015]),
[iquote('para(1239,1015)')] ).
cnf(1292,plain,
equal(inverse(multiply(inverse(inverse(inverse(A))),multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[653,1289]),1129]),
[iquote('para(653,1289),demod([1129])')] ).
cnf(1297,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(inverse(inverse(B)))))))),B),
inference(para,[status(thm),theory(equality)],[640,1292]),
[iquote('para(640,1292)')] ).
cnf(1304,plain,
equal(multiply(A,multiply(inverse(inverse(inverse(B))),B)),A),
inference(para,[status(thm),theory(equality)],[1292,1239]),
[iquote('para(1292,1239)')] ).
cnf(1307,plain,
equal(multiply(A,inverse(inverse(inverse(inverse(multiply(B,inverse(B))))))),A),
inference(para,[status(thm),theory(equality)],[1129,1304]),
[iquote('para(1129,1304)')] ).
cnf(1324,plain,
equal(multiply(A,multiply(inverse(A),B)),inverse(inverse(B))),
inference(para,[status(thm),theory(equality)],[640,1304]),
[iquote('para(640,1304)')] ).
cnf(1325,plain,
equal(inverse(inverse(A)),multiply(B,multiply(inverse(B),A))),
inference(flip,[status(thm),theory(equality)],[1324]),
[iquote('flip(1324)')] ).
cnf(1332,plain,
equal(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A)))))))),A),
inference(para,[status(thm),theory(equality)],[1324,1292]),
[iquote('para(1324,1292)')] ).
cnf(1366,plain,
equal(multiply(A,multiply(B,inverse(inverse(inverse(inverse(inverse(B))))))),A),
inference(para,[status(thm),theory(equality)],[1324,1239]),
[iquote('para(1324,1239)')] ).
cnf(1367,plain,
equal(inverse(inverse(inverse(multiply(inverse(A),multiply(B,inverse(B)))))),A),
inference(para,[status(thm),theory(equality)],[1324,1239]),
[iquote('para(1324,1239)')] ).
cnf(1376,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(inverse(inverse(B))))))),A),
inference(para,[status(thm),theory(equality)],[1325,1366]),
[iquote('para(1325,1366)')] ).
cnf(1377,plain,
equal(multiply(multiply(A,inverse(A)),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1028]),1376]),
[iquote('back_demod(1028),demod([1376])')] ).
cnf(1378,plain,
equal(multiply(A,multiply(inverse(A),multiply(inverse(inverse(B)),multiply(C,inverse(C))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[793]),1376]),
[iquote('back_demod(793),demod([1376])')] ).
cnf(1390,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(inverse(inverse(inverse(inverse(inverse(B))))))),
inference(para,[status(thm),theory(equality)],[1332,1377]),
[iquote('para(1332,1377)')] ).
cnf(1391,plain,
equal(inverse(inverse(inverse(inverse(inverse(inverse(A)))))),multiply(multiply(B,inverse(B)),A)),
inference(flip,[status(thm),theory(equality)],[1390]),
[iquote('flip(1390)')] ).
cnf(1396,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[1377,1307]),
[iquote('para(1377,1307)')] ).
cnf(1405,plain,
equal(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1396,1377]),1129]),
[iquote('para(1396,1377),demod([1129])')] ).
cnf(1410,plain,
equal(multiply(A,inverse(inverse(multiply(B,inverse(B))))),A),
inference(para,[status(thm),theory(equality)],[1405,1129]),
[iquote('para(1405,1129)')] ).
cnf(1412,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1217]),1410]),1]),
[iquote('back_demod(1217),demod([1410]),flip(1)')] ).
cnf(1414,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1367]),1412]),
[iquote('back_demod(1367),demod([1412])')] ).
cnf(1415,plain,
equal(inverse(inverse(A)),multiply(multiply(B,inverse(B)),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1391]),1414]),
[iquote('back_demod(1391),demod([1414])')] ).
cnf(1416,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[1415]),
[iquote('flip(1415)')] ).
cnf(1421,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1366]),1414]),
[iquote('back_demod(1366),demod([1414])')] ).
cnf(1422,plain,
equal(multiply(A,multiply(inverse(A),inverse(inverse(B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1378]),1421]),
[iquote('back_demod(1378),demod([1421])')] ).
cnf(1424,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1297]),1414]),
[iquote('back_demod(1297),demod([1414])')] ).
cnf(1425,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1202]),1424]),
[iquote('back_demod(1202),demod([1424])')] ).
cnf(1426,plain,
equal(inverse(inverse(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1416]),1425]),1]),
[iquote('back_demod(1416),demod([1425]),flip(1)')] ).
cnf(1427,plain,
equal(multiply(A,multiply(inverse(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1422]),1426]),
[iquote('back_demod(1422),demod([1426])')] ).
cnf(1447,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),inverse(multiply(B,inverse(A)))),B)),C),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1146]),1427,1421,1426]),
[iquote('back_demod(1146),demod([1427,1421,1426])')] ).
cnf(1451,plain,
equal(inverse(multiply(A,inverse(multiply(B,A)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1132]),1427]),
[iquote('back_demod(1132),demod([1427])')] ).
cnf(1452,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1127]),1427,1451]),
[iquote('back_demod(1127),demod([1427,1451])')] ).
cnf(1455,plain,
equal(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D))),multiply(D,B))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1124]),1452]),
[iquote('back_demod(1124),demod([1452])')] ).
cnf(1456,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B))),D),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[149]),1455]),
[iquote('back_demod(149),demod([1455])')] ).
cnf(1457,plain,
equal(multiply(inverse(A),inverse(multiply(B,inverse(A)))),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[506]),1427,1421,1456]),
[iquote('back_demod(506),demod([1427,1421,1456])')] ).
cnf(1458,plain,
equal(multiply(inverse(multiply(inverse(A),A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1447]),1457]),
[iquote('back_demod(1447),demod([1457])')] ).
cnf(1620,plain,
equal(inverse(multiply(inverse(A),B)),multiply(inverse(B),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1031]),1421,1427]),
[iquote('back_demod(1031),demod([1421,1427])')] ).
cnf(1671,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1458]),1620]),
[iquote('back_demod(1458),demod([1620])')] ).
cnf(1672,plain,
$false,
inference(conflict,[status(thm)],[1671,2]),
[iquote('conflict(1671,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP437-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 20:55:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.75/1.36 ----- EQP 0.9e, May 2009 -----
% 0.75/1.36 The job began on n003.cluster.edu, Mon Jun 13 20:55:10 2022
% 0.75/1.36 The command was "./eqp09e".
% 0.75/1.36
% 0.75/1.36 set(prolog_style_variables).
% 0.75/1.36 set(lrpo).
% 0.75/1.36 set(basic_paramod).
% 0.75/1.36 set(functional_subsume).
% 0.75/1.36 set(ordered_paramod).
% 0.75/1.36 set(prime_paramod).
% 0.75/1.36 set(para_pairs).
% 0.75/1.36 assign(pick_given_ratio,4).
% 0.75/1.36 clear(print_kept).
% 0.75/1.36 clear(print_new_demod).
% 0.75/1.36 clear(print_back_demod).
% 0.75/1.36 clear(print_given).
% 0.75/1.36 assign(max_mem,64000).
% 0.75/1.36 end_of_commands.
% 0.75/1.36
% 0.75/1.36 Usable:
% 0.75/1.36 end_of_list.
% 0.75/1.36
% 0.75/1.36 Sos:
% 0.75/1.36 0 (wt=-1) [] multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D.
% 0.75/1.36 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.75/1.36 end_of_list.
% 0.75/1.36
% 0.75/1.36 Demodulators:
% 0.75/1.36 end_of_list.
% 0.75/1.36
% 0.75/1.36 Passive:
% 0.75/1.36 end_of_list.
% 0.75/1.36
% 0.75/1.36 Starting to process input.
% 0.75/1.36
% 0.75/1.36 ** KEPT: 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D.
% 0.75/1.36 1 is a new demodulator.
% 0.75/1.36
% 0.75/1.36 ** KEPT: 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.75/1.36 ---------------- PROOF FOUND ----------------
% 0.75/1.36 % SZS status Unsatisfiable
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 After processing input:
% 0.75/1.36
% 0.75/1.36 Usable:
% 0.75/1.36 end_of_list.
% 0.75/1.36
% 0.75/1.36 Sos:
% 0.75/1.36 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.75/1.36 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D.
% 0.75/1.36 end_of_list.
% 0.75/1.36
% 0.75/1.36 Demodulators:
% 0.75/1.36 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D.
% 0.75/1.36 end_of_list.
% 0.75/1.36
% 0.75/1.36 Passive:
% 0.75/1.36 end_of_list.
% 0.75/1.36
% 0.75/1.36 UNIT CONFLICT from 1671 and 2 at 0.23 seconds.
% 0.75/1.36
% 0.75/1.36 ---------------- PROOF ----------------
% 0.75/1.36 % SZS output start Refutation
% See solution above
% 0.75/1.36 ------------ end of proof -------------
% 0.75/1.36
% 0.75/1.36
% 0.75/1.36 ------------- memory usage ------------
% 0.75/1.36 Memory dynamically allocated (tp_alloc): 6347.
% 0.75/1.36 type (bytes each) gets frees in use avail bytes
% 0.75/1.36 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.75/1.36 term ( 16) 139999 67160 72839 41 1416.9 K
% 0.75/1.36 gen_ptr ( 8) 520164 36518 483646 103 3779.3 K
% 0.75/1.36 context ( 808) 100346 100344 2 4 4.7 K
% 0.75/1.36 trail ( 12) 72932 72932 0 18 0.2 K
% 0.75/1.36 bt_node ( 68) 24169 24165 4 45 3.3 K
% 0.75/1.36 ac_position (285432) 0 0 0 0 0.0 K
% 0.75/1.36 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.75/1.36 ac_match_free_vars_pos (4020)
% 0.75/1.36 0 0 0 0 0.0 K
% 0.75/1.36 discrim ( 12) 61273 15444 45829 2249 563.4 K
% 0.75/1.36 flat ( 40) 595094 595094 0 95 3.7 K
% 0.75/1.36 discrim_pos ( 12) 1526 1526 0 1 0.0 K
% 0.75/1.36 fpa_head ( 12) 6220 0 6220 0 72.9 K
% 0.75/1.36 fpa_tree ( 28) 12153 12153 0 25 0.7 K
% 0.75/1.36 fpa_pos ( 36) 2840 2840 0 1 0.0 K
% 0.75/1.36 literal ( 12) 4569 2898 1671 1 19.6 K
% 0.75/1.36 clause ( 24) 4569 2898 1671 1 39.2 K
% 0.75/1.36 list ( 12) 1228 1157 71 1 0.8 K
% 0.75/1.36 list_pos ( 20) 8908 2472 6436 18 126.1 K
% 0.75/1.36 pair_index ( 40) 2 0 2 0 0.1 K
% 0.75/1.36
% 0.75/1.36 -------------- statistics -------------
% 0.75/1.36 Clauses input 2
% 0.75/1.36 Usable input 0
% 0.75/1.36 Sos input 2
% 0.75/1.36 Demodulators input 0
% 0.75/1.36 Passive input 0
% 0.75/1.36
% 0.75/1.36 Processed BS (before search) 2
% 0.75/1.36 Forward subsumed BS 0
% 0.75/1.36 Kept BS 2
% 0.75/1.36 New demodulators BS 1
% 0.75/1.36 Back demodulated BS 0
% 0.75/1.36
% 0.75/1.36 Clauses or pairs given 1517
% 0.75/1.36 Clauses generated 2455
% 0.75/1.36 Forward subsumed 786
% 0.75/1.36 Deleted by weight 0
% 0.75/1.36 Deleted by variable count 0
% 0.75/1.36 Kept 1669
% 0.75/1.36 New demodulators 1168
% 0.75/1.36 Back demodulated 520
% 0.75/1.36 Ordered paramod prunes 0
% 0.75/1.36 Basic paramod prunes 14227
% 0.75/1.36 Prime paramod prunes 3
% 0.75/1.36 Semantic prunes 0
% 0.75/1.36
% 0.75/1.36 Rewrite attmepts 59715
% 0.75/1.36 Rewrites 1091
% 0.75/1.36
% 0.75/1.36 FPA overloads 0
% 0.75/1.36 FPA underloads 0
% 0.75/1.36
% 0.75/1.36 Usable size 0
% 0.75/1.36 Sos size 1150
% 0.75/1.36 Demodulators size 789
% 0.75/1.36 Passive size 0
% 0.75/1.36 Disabled size 520
% 0.75/1.36
% 0.75/1.36 Proofs found 1
% 0.75/1.36
% 0.75/1.36 ----------- times (seconds) ----------- Mon Jun 13 20:55:10 2022
% 0.75/1.36
% 0.75/1.36 user CPU time 0.23 (0 hr, 0 min, 0 sec)
% 0.75/1.36 system CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.75/1.36 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.75/1.36 input time 0.00
% 0.75/1.36 paramodulation time 0.03
% 0.75/1.36 demodulation time 0.03
% 0.75/1.36 orient time 0.01
% 0.75/1.36 weigh time 0.00
% 0.75/1.36 forward subsume time 0.00
% 0.75/1.36 back demod find time 0.03
% 0.75/1.36 conflict time 0.00
% 0.75/1.36 LRPO time 0.00
% 0.75/1.36 store clause time 0.08
% 0.75/1.36 disable clause time 0.01
% 0.75/1.36 prime paramod time 0.01
% 0.75/1.36 semantics time 0.00
% 0.75/1.36
% 0.75/1.36 EQP interrupted
%------------------------------------------------------------------------------