TSTP Solution File: GRP440-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP440-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n009.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 08:47:21 EDT 2022
% Result : Unsatisfiable 1.02s 1.39s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 2
% Syntax : Number of clauses : 120 ( 120 unt; 0 nHn; 2 RR)
% Number of literals : 120 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 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 : 445 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))),D),
file('GRP440-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
file('GRP440-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(E,multiply(B,D)))))),multiply(multiply(E,F),inverse(multiply(G,multiply(A,F))))))),G),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),C),inverse(multiply(D,multiply(E,C))))),D)))),E),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(6,plain,
equal(inverse(multiply(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C)))))),multiply(E,multiply(multiply(inverse(E),multiply(multiply(D,F),inverse(multiply(G,multiply(H,F))))),G)))),H),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(9,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(inverse(C),D),inverse(multiply(E,multiply(F,D))))),E)),F)))),C),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(26,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(C,D),inverse(multiply(E,multiply(F,D))))),E)),F)))),multiply(G,multiply(H,multiply(multiply(inverse(H),I),inverse(multiply(C,multiply(G,I))))))),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(1034,plain,
equal(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(inverse(D),multiply(A,C)))))),D),
inference(para,[status(thm),theory(equality)],[26,9]),
[iquote('para(26,9)')] ).
cnf(1035,plain,
equal(inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(E,multiply(multiply(inverse(E),F),inverse(multiply(inverse(C),multiply(inverse(B),F)))))))))))),D),
inference(para,[status(thm),theory(equality)],[1034,1]),
[iquote('para(1034,1)')] ).
cnf(1043,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))),C),
inference(para,[status(thm),theory(equality)],[1034,1035]),
[iquote('para(1034,1035)')] ).
cnf(1049,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(multiply(D,C)))),D)))),inverse(A)),
inference(para,[status(thm),theory(equality)],[1043,1]),
[iquote('para(1043,1)')] ).
cnf(1055,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(multiply(D,C)))),D)),inverse(E))))),E),
inference(para,[status(thm),theory(equality)],[1049,1043]),
[iquote('para(1049,1043)')] ).
cnf(1079,plain,
equal(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(multiply(D,C)))),D))),A),
inference(para,[status(thm),theory(equality)],[1055,1043]),
[iquote('para(1055,1043)')] ).
cnf(1082,plain,
equal(inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1079,1]),1079]),
[iquote('para(1079,1),demod([1079])')] ).
cnf(1085,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),inverse(multiply(C,D)))),C)))),D),
inference(para,[status(thm),theory(equality)],[1082,1043]),
[iquote('para(1082,1043)')] ).
cnf(1086,plain,
equal(inverse(multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(D,multiply(inverse(D),C)))),inverse(A)),
inference(para,[status(thm),theory(equality)],[1043,1082]),
[iquote('para(1043,1082)')] ).
cnf(1091,plain,
equal(inverse(multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C)),multiply(D,multiply(inverse(D),inverse(E))))),E),
inference(para,[status(thm),theory(equality)],[1079,1082]),
[iquote('para(1079,1082)')] ).
cnf(1105,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),inverse(D))))),multiply(D,multiply(E,inverse(multiply(C,E))))),
inference(para,[status(thm),theory(equality)],[1086,1043]),
[iquote('para(1086,1043)')] ).
cnf(1184,plain,
equal(inverse(multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C)),multiply(D,multiply(inverse(D),E)))),multiply(F,multiply(G,multiply(inverse(G),inverse(multiply(E,F)))))),
inference(para,[status(thm),theory(equality)],[1082,1091]),
[iquote('para(1082,1091)')] ).
cnf(1185,plain,
equal(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))),inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(E,inverse(multiply(F,E)))),F)),multiply(G,multiply(inverse(G),C))))),
inference(flip,[status(thm),theory(equality)],[1184]),
[iquote('flip(1184)')] ).
cnf(1199,plain,
equal(multiply(multiply(A,multiply(B,multiply(inverse(B),C))),multiply(D,inverse(multiply(C,D)))),A),
inference(para,[status(thm),theory(equality)],[1105,1043]),
[iquote('para(1105,1043)')] ).
cnf(1202,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(B,multiply(inverse(B),C)))),A)),C),
inference(para,[status(thm),theory(equality)],[1199,1043]),
[iquote('para(1199,1043)')] ).
cnf(1203,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),inverse(multiply(B,multiply(D,multiply(inverse(D),C))))),
inference(para,[status(thm),theory(equality)],[1202,1043]),
[iquote('para(1202,1043)')] ).
cnf(1210,plain,
equal(inverse(inverse(multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C)),multiply(D,multiply(inverse(D),E))))),E),
inference(para,[status(thm),theory(equality)],[1079,1202]),
[iquote('para(1079,1202)')] ).
cnf(1245,plain,
equal(inverse(multiply(inverse(A),multiply(A,B))),inverse(multiply(B,multiply(C,inverse(C))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1079,1203]),1079]),
[iquote('para(1079,1203),demod([1079])')] ).
cnf(1246,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(multiply(inverse(C),multiply(C,A)))),
inference(flip,[status(thm),theory(equality)],[1245]),
[iquote('flip(1245)')] ).
cnf(1250,plain,
equal(inverse(multiply(multiply(A,inverse(multiply(B,A))),multiply(C,inverse(C)))),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1043,1245]),1]),
[iquote('para(1043,1245),flip(1)')] ).
cnf(1251,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,C),inverse(multiply(C,multiply(D,inverse(D)))))))),inverse(B)),
inference(para,[status(thm),theory(equality)],[1245,1043]),
[iquote('para(1245,1043)')] ).
cnf(1253,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),C)))),multiply(D,inverse(multiply(C,D)))),
inference(para,[status(thm),theory(equality)],[1250,1043]),
[iquote('para(1250,1043)')] ).
cnf(1256,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(B),C)))),multiply(D,inverse(multiply(C,D)))),
inference(para,[status(thm),theory(equality)],[1250,1082]),
[iquote('para(1250,1082)')] ).
cnf(1257,plain,
equal(multiply(A,inverse(multiply(B,A))),inverse(multiply(multiply(C,inverse(C)),multiply(D,multiply(inverse(D),B))))),
inference(flip,[status(thm),theory(equality)],[1256]),
[iquote('flip(1256)')] ).
cnf(1271,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),multiply(C,D))))))),D),
inference(para,[status(thm),theory(equality)],[1246,1082]),
[iquote('para(1246,1082)')] ).
cnf(1284,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(multiply(A,multiply(C,inverse(C))))),
inference(para,[status(thm),theory(equality)],[1245,1245]),
[iquote('para(1245,1245)')] ).
cnf(1285,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,inverse(D)))))))),C),
inference(para,[status(thm),theory(equality)],[1284,1043]),
[iquote('para(1284,1043)')] ).
cnf(1290,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(B),inverse(multiply(C,multiply(D,inverse(D)))))))),C),
inference(para,[status(thm),theory(equality)],[1284,1082]),
[iquote('para(1284,1082)')] ).
cnf(1293,plain,
equal(inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(B),C)))),multiply(D,inverse(D)))),C),
inference(para,[status(thm),theory(equality)],[1284,1202]),
[iquote('para(1284,1202)')] ).
cnf(1323,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(A)),C)))),multiply(D,inverse(multiply(C,D)))),
inference(para,[status(thm),theory(equality)],[1250,1]),
[iquote('para(1250,1)')] ).
cnf(1324,plain,
equal(multiply(A,inverse(multiply(B,A))),inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(C)),B))))),
inference(flip,[status(thm),theory(equality)],[1323]),
[iquote('flip(1323)')] ).
cnf(1360,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(C,inverse(C)))),A))),B),
inference(para,[status(thm),theory(equality)],[1253,1043]),
[iquote('para(1253,1043)')] ).
cnf(1399,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(C,multiply(E,inverse(E)))),inverse(B))),D)))),
inference(para,[status(thm),theory(equality)],[1360,1256]),
[iquote('para(1360,1256)')] ).
cnf(1400,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(C,inverse(C)))),inverse(D))),A))),inverse(multiply(multiply(E,inverse(E)),multiply(D,B)))),
inference(flip,[status(thm),theory(equality)],[1399]),
[iquote('flip(1399)')] ).
cnf(1402,plain,
equal(inverse(multiply(inverse(multiply(A,B)),multiply(C,multiply(inverse(C),inverse(inverse(multiply(multiply(D,inverse(D)),multiply(E,multiply(inverse(E),A))))))))),B),
inference(para,[status(thm),theory(equality)],[1257,1082]),
[iquote('para(1257,1082)')] ).
cnf(1422,plain,
equal(inverse(multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(B)),D))))))),D),
inference(para,[status(thm),theory(equality)],[1324,1043]),
[iquote('para(1324,1043)')] ).
cnf(1438,plain,
equal(inverse(multiply(multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),B),multiply(D,inverse(D)))),C),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1085,1245]),1]),
[iquote('para(1085,1245),flip(1)')] ).
cnf(1440,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),C)))),multiply(multiply(D,multiply(inverse(D),inverse(multiply(E,C)))),E)),
inference(para,[status(thm),theory(equality)],[1438,1043]),
[iquote('para(1438,1043)')] ).
cnf(1441,plain,
equal(multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),B),inverse(multiply(inverse(D),multiply(D,multiply(multiply(E,inverse(E)),C))))),
inference(flip,[status(thm),theory(equality)],[1440]),
[iquote('flip(1440)')] ).
cnf(1471,plain,
equal(multiply(A,inverse(multiply(B,A))),inverse(multiply(multiply(multiply(C,inverse(C)),B),multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[1253,1245]),
[iquote('para(1253,1245)')] ).
cnf(1474,plain,
equal(inverse(multiply(inverse(A),multiply(A,inverse(multiply(multiply(multiply(B,inverse(B)),C),multiply(D,inverse(D))))))),C),
inference(para,[status(thm),theory(equality)],[1471,1043]),
[iquote('para(1471,1043)')] ).
cnf(1580,plain,
equal(inverse(multiply(inverse(A),inverse(multiply(multiply(multiply(B,inverse(B)),C),multiply(D,inverse(D)))))),inverse(multiply(inverse(multiply(C,A)),multiply(E,inverse(E))))),
inference(para,[status(thm),theory(equality)],[1471,1245]),
[iquote('para(1471,1245)')] ).
cnf(1581,plain,
equal(inverse(multiply(inverse(multiply(A,B)),multiply(C,inverse(C)))),inverse(multiply(inverse(B),inverse(multiply(multiply(multiply(D,inverse(D)),A),multiply(E,inverse(E))))))),
inference(flip,[status(thm),theory(equality)],[1580]),
[iquote('flip(1580)')] ).
cnf(1621,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),D)))))),inverse(multiply(inverse(multiply(D,multiply(E,inverse(E)))),C))),
inference(para,[status(thm),theory(equality)],[1360,1271]),
[iquote('para(1360,1271)')] ).
cnf(1622,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),C)),inverse(multiply(multiply(D,inverse(D)),multiply(E,multiply(inverse(E),inverse(multiply(inverse(C),A))))))),
inference(flip,[status(thm),theory(equality)],[1621]),
[iquote('flip(1621)')] ).
cnf(1630,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(multiply(inverse(multiply(D,multiply(E,multiply(inverse(E),F)))),D),F))))))),C),
inference(para,[status(thm),theory(equality)],[1202,1285]),
[iquote('para(1202,1285)')] ).
cnf(1634,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1290,1043]),1085]),
[iquote('para(1290,1043),demod([1085])')] ).
cnf(1639,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C))))))),B),
inference(para,[status(thm),theory(equality)],[1634,1043]),
[iquote('para(1634,1043)')] ).
cnf(1642,plain,
equal(inverse(multiply(inverse(A),multiply(B,multiply(inverse(B),inverse(multiply(C,inverse(C))))))),A),
inference(para,[status(thm),theory(equality)],[1634,1082]),
[iquote('para(1634,1082)')] ).
cnf(1692,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C))))),multiply(D,inverse(multiply(inverse(inverse(B)),D)))),
inference(para,[status(thm),theory(equality)],[1634,1256]),
[iquote('para(1634,1256)')] ).
cnf(1693,plain,
equal(multiply(A,inverse(multiply(inverse(inverse(B)),A))),inverse(multiply(multiply(C,inverse(C)),multiply(B,multiply(D,inverse(D)))))),
inference(flip,[status(thm),theory(equality)],[1692]),
[iquote('flip(1692)')] ).
cnf(1696,plain,
equal(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(D,inverse(multiply(inverse(multiply(inverse(B),inverse(A))),D)))),
inference(para,[status(thm),theory(equality)],[1634,1323]),
[iquote('para(1634,1323)')] ).
cnf(1697,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(C))),A))),inverse(multiply(C,multiply(B,multiply(D,inverse(D)))))),
inference(flip,[status(thm),theory(equality)],[1696]),
[iquote('flip(1696)')] ).
cnf(1716,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(B))))),inverse(multiply(C,inverse(C)))),
inference(para,[status(thm),theory(equality)],[1634,1251]),
[iquote('para(1634,1251)')] ).
cnf(1756,plain,
equal(inverse(multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(C,multiply(D,inverse(D)))))))),inverse(multiply(inverse(C),inverse(B)))),
inference(para,[status(thm),theory(equality)],[1634,1422]),
[iquote('para(1634,1422)')] ).
cnf(1762,plain,
equal(inverse(multiply(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))),multiply(D,inverse(D)))),B),
inference(para,[status(thm),theory(equality)],[1634,1474]),
[iquote('para(1634,1474)')] ).
cnf(1792,plain,
equal(multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,inverse(B))))),multiply(C,multiply(inverse(C),D))),D),
inference(para,[status(thm),theory(equality)],[1642,1202]),
[iquote('para(1642,1202)')] ).
cnf(1797,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(multiply(B,multiply(C,inverse(C)))),B))),A),
inference(para,[status(thm),theory(equality)],[1360,1642]),
[iquote('para(1360,1642)')] ).
cnf(1880,plain,
equal(inverse(multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),multiply(C,inverse(C)))),A),
inference(para,[status(thm),theory(equality)],[1245,1639]),
[iquote('para(1245,1639)')] ).
cnf(1888,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(B),C)))),multiply(inverse(C),inverse(multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[1880,1082]),
[iquote('para(1880,1082)')] ).
cnf(1905,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C))))),multiply(inverse(inverse(inverse(B))),inverse(multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[1634,1888]),
[iquote('para(1634,1888)')] ).
cnf(1906,plain,
equal(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,inverse(B)))),inverse(multiply(multiply(C,inverse(C)),multiply(A,multiply(D,inverse(D)))))),
inference(flip,[status(thm),theory(equality)],[1905]),
[iquote('flip(1905)')] ).
cnf(1914,plain,
equal(inverse(multiply(A,inverse(A))),inverse(multiply(multiply(B,inverse(B)),multiply(C,inverse(C))))),
inference(para,[status(thm),theory(equality)],[1716,1245]),
[iquote('para(1716,1245)')] ).
cnf(1915,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))),inverse(multiply(C,inverse(C)))),
inference(flip,[status(thm),theory(equality)],[1914]),
[iquote('flip(1914)')] ).
cnf(1933,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C))))))),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[1915,1043]),
[iquote('para(1915,1043)')] ).
cnf(1955,plain,
equal(inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(B))))),multiply(C,inverse(C))),
inference(para,[status(thm),theory(equality)],[1634,1933]),
[iquote('para(1634,1933)')] ).
cnf(2041,plain,
equal(inverse(multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),multiply(multiply(inverse(C),multiply(inverse(multiply(D,multiply(E,inverse(E)))),D)),C))),A),
inference(para,[status(thm),theory(equality)],[1797,1880]),
[iquote('para(1797,1880)')] ).
cnf(2042,plain,
equal(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[1955,1716]),
[iquote('para(1955,1716)')] ).
cnf(2050,plain,
equal(inverse(multiply(inverse(A),multiply(B,multiply(inverse(B),inverse(inverse(multiply(C,inverse(C)))))))),A),
inference(para,[status(thm),theory(equality)],[2042,1082]),
[iquote('para(2042,1082)')] ).
cnf(2099,plain,
equal(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))))),A),
inference(para,[status(thm),theory(equality)],[2042,2050]),
[iquote('para(2042,2050)')] ).
cnf(2102,plain,
equal(inverse(multiply(inverse(A),multiply(B,inverse(B)))),A),
inference(para,[status(thm),theory(equality)],[1634,2099]),
[iquote('para(1634,2099)')] ).
cnf(2106,plain,
equal(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1762]),2102]),
[iquote('back_demod(1762),demod([2102])')] ).
cnf(2119,plain,
equal(inverse(multiply(inverse(A),inverse(B))),multiply(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1581]),2102,2106]),1]),
[iquote('back_demod(1581),demod([2102,2106]),flip(1)')] ).
cnf(2122,plain,
equal(inverse(multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(C,multiply(D,inverse(D)))))))),multiply(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1756]),2119]),
[iquote('back_demod(1756),demod([2119])')] ).
cnf(2123,plain,
equal(multiply(A,inverse(multiply(multiply(B,C),A))),inverse(multiply(B,multiply(C,multiply(D,inverse(D)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1697]),2119]),
[iquote('back_demod(1697),demod([2119])')] ).
cnf(2124,plain,
equal(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(D,inverse(multiply(multiply(A,B),D)))),
inference(flip,[status(thm),theory(equality)],[2123]),
[iquote('flip(2123)')] ).
cnf(2137,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(C,multiply(D,inverse(D)))),A))),inverse(multiply(multiply(E,inverse(E)),multiply(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1400]),2119]),
[iquote('back_demod(1400),demod([2119])')] ).
cnf(2138,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),multiply(D,inverse(multiply(multiply(B,multiply(C,multiply(E,inverse(E)))),D)))),
inference(flip,[status(thm),theory(equality)],[2137]),
[iquote('flip(2137)')] ).
cnf(2144,plain,
equal(inverse(multiply(inverse(A),multiply(A,inverse(B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1474]),2106]),
[iquote('back_demod(1474),demod([2106])')] ).
cnf(2145,plain,
equal(multiply(A,multiply(B,multiply(C,inverse(C)))),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2122]),2144]),
[iquote('back_demod(2122),demod([2144])')] ).
cnf(2160,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),multiply(D,inverse(multiply(multiply(B,C),D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2138]),2145]),
[iquote('back_demod(2138),demod([2145])')] ).
cnf(2161,plain,
equal(multiply(A,inverse(multiply(multiply(B,C),A))),inverse(multiply(multiply(D,inverse(D)),multiply(B,C)))),
inference(flip,[status(thm),theory(equality)],[2160]),
[iquote('flip(2160)')] ).
cnf(2162,plain,
equal(multiply(A,inverse(multiply(multiply(B,C),A))),inverse(multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2124]),2145]),1]),
[iquote('back_demod(2124),demod([2145]),flip(1)')] ).
cnf(2163,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),inverse(multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2161]),2162]),1]),
[iquote('back_demod(2161),demod([2162]),flip(1)')] ).
cnf(2189,plain,
equal(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,inverse(B)))),inverse(multiply(multiply(C,inverse(C)),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1906]),2145]),
[iquote('back_demod(1906),demod([2145])')] ).
cnf(2190,plain,
equal(inverse(multiply(multiply(A,inverse(A)),B)),multiply(inverse(inverse(inverse(B))),inverse(multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[2189]),
[iquote('flip(2189)')] ).
cnf(2197,plain,
equal(multiply(A,inverse(multiply(inverse(inverse(B)),A))),inverse(multiply(multiply(C,inverse(C)),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1693]),2145]),
[iquote('back_demod(1693),demod([2145])')] ).
cnf(2198,plain,
equal(inverse(multiply(multiply(A,inverse(A)),B)),multiply(C,inverse(multiply(inverse(inverse(B)),C)))),
inference(flip,[status(thm),theory(equality)],[2197]),
[iquote('flip(2197)')] ).
cnf(2203,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),C)),inverse(multiply(D,multiply(inverse(D),inverse(multiply(inverse(C),A)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1622]),2163]),
[iquote('back_demod(1622),demod([2163])')] ).
cnf(2204,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),C))))),inverse(multiply(inverse(multiply(C,multiply(D,inverse(D)))),B))),
inference(flip,[status(thm),theory(equality)],[2203]),
[iquote('flip(2203)')] ).
cnf(2210,plain,
equal(inverse(multiply(inverse(multiply(A,B)),multiply(C,multiply(inverse(C),inverse(inverse(multiply(D,multiply(inverse(D),A)))))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1402]),2163]),
[iquote('back_demod(1402),demod([2163])')] ).
cnf(2212,plain,
equal(multiply(A,multiply(inverse(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1293]),2163,2102]),
[iquote('back_demod(1293),demod([2163,2102])')] ).
cnf(2214,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2210]),2212,2212,2119]),
[iquote('back_demod(2210),demod([2212,2212,2119])')] ).
cnf(2226,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2144]),2214]),
[iquote('back_demod(2144),demod([2214])')] ).
cnf(2228,plain,
equal(inverse(multiply(multiply(A,inverse(A)),B)),multiply(C,inverse(multiply(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2198]),2226]),
[iquote('back_demod(2198),demod([2226])')] ).
cnf(2229,plain,
equal(multiply(A,inverse(multiply(B,A))),inverse(multiply(multiply(C,inverse(C)),B))),
inference(flip,[status(thm),theory(equality)],[2228]),
[iquote('flip(2228)')] ).
cnf(2230,plain,
equal(inverse(multiply(multiply(A,inverse(A)),B)),multiply(inverse(B),inverse(multiply(C,inverse(C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2190]),2226]),
[iquote('back_demod(2190),demod([2226])')] ).
cnf(2231,plain,
equal(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(multiply(multiply(C,inverse(C)),A))),
inference(flip,[status(thm),theory(equality)],[2230]),
[iquote('flip(2230)')] ).
cnf(2250,plain,
equal(multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C)),D),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1210]),2212,2226]),
[iquote('back_demod(1210),demod([2212,2226])')] ).
cnf(2251,plain,
equal(multiply(A,inverse(multiply(B,A))),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1185]),2212,2212,2250]),
[iquote('back_demod(1185),demod([2212,2212,2250])')] ).
cnf(2257,plain,
equal(inverse(multiply(multiply(A,inverse(A)),B)),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2229]),2251]),1]),
[iquote('back_demod(2229),demod([2251]),flip(1)')] ).
cnf(2258,plain,
equal(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2231]),2257]),
[iquote('back_demod(2231),demod([2257])')] ).
cnf(2259,plain,
equal(inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(inverse(multiply(C,multiply(D,inverse(D)))),C)),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2041]),2258]),
[iquote('back_demod(2041),demod([2258])')] ).
cnf(2268,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1792]),2258,2212]),
[iquote('back_demod(1792),demod([2258,2212])')] ).
cnf(2274,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2106]),2268]),
[iquote('back_demod(2106),demod([2268])')] ).
cnf(2275,plain,
equal(inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(inverse(C),C)),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2259]),2274]),
[iquote('back_demod(2259),demod([2274])')] ).
cnf(2276,plain,
equal(inverse(multiply(inverse(A),B)),multiply(inverse(B),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2204]),2212,2226,2274]),1]),
[iquote('back_demod(2204),demod([2212,2226,2274]),flip(1)')] ).
cnf(2277,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),multiply(inverse(B),B)),A)),C),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2275]),2276]),
[iquote('back_demod(2275),demod([2276])')] ).
cnf(2293,plain,
equal(multiply(A,multiply(multiply(inverse(multiply(B,C)),B),C)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1630]),2212,2268,2214,2226]),
[iquote('back_demod(1630),demod([2212,2268,2214,2226])')] ).
cnf(2297,plain,
equal(multiply(inverse(multiply(A,B)),A),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1441]),2212,2268,2214]),
[iquote('back_demod(1441),demod([2212,2268,2214])')] ).
cnf(2298,plain,
equal(multiply(A,multiply(inverse(B),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2293]),2297]),
[iquote('back_demod(2293),demod([2297])')] ).
cnf(2299,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2277]),2298,2276]),
[iquote('back_demod(2277),demod([2298,2276])')] ).
cnf(2300,plain,
$false,
inference(conflict,[status(thm)],[2299,2]),
[iquote('conflict(2299,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP440-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 10:38:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.02/1.39 ----- EQP 0.9e, May 2009 -----
% 1.02/1.39 The job began on n009.cluster.edu, Mon Jun 13 10:38:08 2022
% 1.02/1.39 The command was "./eqp09e".
% 1.02/1.39
% 1.02/1.39 set(prolog_style_variables).
% 1.02/1.39 set(lrpo).
% 1.02/1.39 set(basic_paramod).
% 1.02/1.39 set(functional_subsume).
% 1.02/1.39 set(ordered_paramod).
% 1.02/1.39 set(prime_paramod).
% 1.02/1.39 set(para_pairs).
% 1.02/1.39 assign(pick_given_ratio,4).
% 1.02/1.39 clear(print_kept).
% 1.02/1.39 clear(print_new_demod).
% 1.02/1.39 clear(print_back_demod).
% 1.02/1.39 clear(print_given).
% 1.02/1.39 assign(max_mem,64000).
% 1.02/1.39 end_of_commands.
% 1.02/1.39
% 1.02/1.39 Usable:
% 1.02/1.39 end_of_list.
% 1.02/1.39
% 1.02/1.39 Sos:
% 1.02/1.39 0 (wt=-1) [] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D.
% 1.02/1.39 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.02/1.39 end_of_list.
% 1.02/1.39
% 1.02/1.39 Demodulators:
% 1.02/1.39 end_of_list.
% 1.02/1.39
% 1.02/1.39 Passive:
% 1.02/1.39 end_of_list.
% 1.02/1.39
% 1.02/1.39 Starting to process input.
% 1.02/1.39
% 1.02/1.39 ** KEPT: 1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D.
% 1.02/1.39 1 is a new demodulator.
% 1.02/1.39
% 1.02/1.39 ** KEPT: 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.02/1.39 ---------------- PROOF FOUND ----------------
% 1.02/1.39 % SZS status Unsatisfiable
% 1.02/1.39
% 1.02/1.39
% 1.02/1.39 After processing input:
% 1.02/1.39
% 1.02/1.39 Usable:
% 1.02/1.39 end_of_list.
% 1.02/1.39
% 1.02/1.39 Sos:
% 1.02/1.39 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.02/1.39 1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D.
% 1.02/1.39 end_of_list.
% 1.02/1.39
% 1.02/1.39 Demodulators:
% 1.02/1.39 1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D.
% 1.02/1.39 end_of_list.
% 1.02/1.39
% 1.02/1.39 Passive:
% 1.02/1.39 end_of_list.
% 1.02/1.39
% 1.02/1.39 UNIT CONFLICT from 2299 and 2 at 0.28 seconds.
% 1.02/1.39
% 1.02/1.39 ---------------- PROOF ----------------
% 1.02/1.39 % SZS output start Refutation
% See solution above
% 1.02/1.40 ------------ end of proof -------------
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 ------------- memory usage ------------
% 1.02/1.40 Memory dynamically allocated (tp_alloc): 10253.
% 1.02/1.40 type (bytes each) gets frees in use avail bytes
% 1.02/1.40 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.02/1.40 term ( 16) 237301 120244 117057 43 2278.1 K
% 1.02/1.40 gen_ptr ( 8) 832087 21332 810755 119 6335.0 K
% 1.02/1.40 context ( 808) 173944 173942 2 3 3.9 K
% 1.02/1.40 trail ( 12) 89609 89609 0 27 0.3 K
% 1.02/1.40 bt_node ( 68) 40763 40756 7 66 4.8 K
% 1.02/1.40 ac_position (285432) 0 0 0 0 0.0 K
% 1.02/1.40 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.02/1.40 ac_match_free_vars_pos (4020)
% 1.02/1.40 0 0 0 0 0.0 K
% 1.02/1.40 discrim ( 12) 76033 6878 69155 4281 860.6 K
% 1.02/1.40 flat ( 40) 604717 604717 0 119 4.6 K
% 1.02/1.40 discrim_pos ( 12) 2109 2109 0 1 0.0 K
% 1.02/1.40 fpa_head ( 12) 4524 0 4524 0 53.0 K
% 1.02/1.40 fpa_tree ( 28) 13576 13576 0 27 0.7 K
% 1.02/1.40 fpa_pos ( 36) 3623 3623 0 1 0.0 K
% 1.02/1.40 literal ( 12) 7031 4732 2299 1 27.0 K
% 1.02/1.40 clause ( 24) 7031 4732 2299 1 53.9 K
% 1.02/1.40 list ( 12) 1383 1309 74 0 0.9 K
% 1.02/1.40 list_pos ( 20) 10824 2208 8616 388 175.9 K
% 1.02/1.40 pair_index ( 40) 2 0 2 0 0.1 K
% 1.02/1.40
% 1.02/1.40 -------------- statistics -------------
% 1.02/1.40 Clauses input 2
% 1.02/1.40 Usable input 0
% 1.02/1.40 Sos input 2
% 1.02/1.40 Demodulators input 0
% 1.02/1.40 Passive input 0
% 1.02/1.40
% 1.02/1.40 Processed BS (before search) 2
% 1.02/1.40 Forward subsumed BS 0
% 1.02/1.40 Kept BS 2
% 1.02/1.40 New demodulators BS 1
% 1.02/1.40 Back demodulated BS 0
% 1.02/1.40
% 1.02/1.40 Clauses or pairs given 2628
% 1.02/1.40 Clauses generated 3539
% 1.02/1.40 Forward subsumed 1242
% 1.02/1.40 Deleted by weight 0
% 1.02/1.40 Deleted by variable count 0
% 1.02/1.40 Kept 2297
% 1.02/1.40 New demodulators 1323
% 1.02/1.40 Back demodulated 509
% 1.02/1.40 Ordered paramod prunes 0
% 1.02/1.40 Basic paramod prunes 30254
% 1.02/1.40 Prime paramod prunes 4
% 1.02/1.40 Semantic prunes 0
% 1.02/1.40
% 1.02/1.40 Rewrite attmepts 92733
% 1.02/1.40 Rewrites 1320
% 1.02/1.40
% 1.02/1.40 FPA overloads 0
% 1.02/1.40 FPA underloads 0
% 1.02/1.40
% 1.02/1.40 Usable size 0
% 1.02/1.40 Sos size 1789
% 1.02/1.40 Demodulators size 1158
% 1.02/1.40 Passive size 0
% 1.02/1.40 Disabled size 509
% 1.02/1.40
% 1.02/1.40 Proofs found 1
% 1.02/1.40
% 1.02/1.40 ----------- times (seconds) ----------- Mon Jun 13 10:38:09 2022
% 1.02/1.40
% 1.02/1.40 user CPU time 0.28 (0 hr, 0 min, 0 sec)
% 1.02/1.40 system CPU time 0.06 (0 hr, 0 min, 0 sec)
% 1.02/1.40 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.02/1.40 input time 0.00
% 1.02/1.40 paramodulation time 0.03
% 1.02/1.40 demodulation time 0.02
% 1.02/1.40 orient time 0.01
% 1.02/1.40 weigh time 0.00
% 1.02/1.40 forward subsume time 0.01
% 1.02/1.40 back demod find time 0.04
% 1.02/1.40 conflict time 0.00
% 1.02/1.40 LRPO time 0.01
% 1.02/1.40 store clause time 0.11
% 1.02/1.40 disable clause time 0.02
% 1.02/1.40 prime paramod time 0.01
% 1.02/1.40 semantics time 0.00
% 1.02/1.40
% 1.02/1.40 EQP interrupted
%------------------------------------------------------------------------------