TSTP Solution File: GRP441-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP441-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n020.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 08:47:22 EDT 2022

% Result   : Unsatisfiable 0.74s 1.60s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   55
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  131 ( 131 unt;   0 nHn;   2 RR)
%            Number of literals    :  131 (   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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  491 (   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('GRP441-1.p',unknown),
    [] ).

cnf(2,plain,
    ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
    file('GRP441-1.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(24,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(922,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)],[24,9]),
    [iquote('para(24,9)')] ).

cnf(923,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)],[922,1]),
    [iquote('para(922,1)')] ).

cnf(931,plain,
    equal(inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))),C),
    inference(para,[status(thm),theory(equality)],[922,923]),
    [iquote('para(922,923)')] ).

cnf(934,plain,
    equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D)))),inverse(B)),
    inference(para,[status(thm),theory(equality)],[931,931]),
    [iquote('para(931,931)')] ).

cnf(937,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)],[931,1]),
    [iquote('para(931,1)')] ).

cnf(942,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)],[937,931]),
    [iquote('para(937,931)')] ).

cnf(963,plain,
    equal(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(multiply(D,C)))),D))),A),
    inference(para,[status(thm),theory(equality)],[942,931]),
    [iquote('para(942,931)')] ).

cnf(966,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)],[963,1]),963]),
    [iquote('para(963,1),demod([963])')] ).

cnf(970,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)],[966,931]),
    [iquote('para(966,931)')] ).

cnf(971,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)],[931,966]),
    [iquote('para(931,966)')] ).

cnf(972,plain,
    equal(inverse(multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),multiply(D,multiply(inverse(D),B)))),C),
    inference(para,[status(thm),theory(equality)],[966,966]),
    [iquote('para(966,966)')] ).

cnf(976,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)],[963,966]),
    [iquote('para(963,966)')] ).

cnf(989,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)],[971,931]),
    [iquote('para(971,931)')] ).

cnf(1022,plain,
    equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),inverse(D))))),multiply(D,multiply(E,inverse(multiply(C,E))))),
    inference(para,[status(thm),theory(equality)],[971,1]),
    [iquote('para(971,1)')] ).

cnf(1023,plain,
    equal(multiply(A,multiply(B,inverse(multiply(C,B)))),inverse(multiply(D,multiply(E,multiply(multiply(inverse(E),multiply(inverse(D),C)),inverse(A)))))),
    inference(flip,[status(thm),theory(equality)],[1022]),
    [iquote('flip(1022)')] ).

cnf(1027,plain,
    equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),D)))),multiply(E,multiply(inverse(E),inverse(multiply(C,D))))),
    inference(para,[status(thm),theory(equality)],[972,1]),
    [iquote('para(972,1)')] ).

cnf(1028,plain,
    equal(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),inverse(multiply(D,multiply(E,multiply(multiply(inverse(E),multiply(inverse(D),B)),C))))),
    inference(flip,[status(thm),theory(equality)],[1027]),
    [iquote('flip(1027)')] ).

cnf(1064,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)],[966,976]),
    [iquote('para(966,976)')] ).

cnf(1065,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)],[1064]),
    [iquote('flip(1064)')] ).

cnf(1079,plain,
    equal(multiply(multiply(A,multiply(B,multiply(inverse(B),C))),multiply(D,inverse(multiply(C,D)))),A),
    inference(para,[status(thm),theory(equality)],[989,931]),
    [iquote('para(989,931)')] ).

cnf(1082,plain,
    equal(inverse(multiply(inverse(multiply(A,multiply(B,multiply(inverse(B),C)))),A)),C),
    inference(para,[status(thm),theory(equality)],[1079,931]),
    [iquote('para(1079,931)')] ).

cnf(1085,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)],[1082,931]),
    [iquote('para(1082,931)')] ).

cnf(1092,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)],[963,1082]),
    [iquote('para(963,1082)')] ).

cnf(1094,plain,
    equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),D)))),inverse(multiply(multiply(A,C),multiply(E,multiply(inverse(E),D))))),
    inference(para,[status(thm),theory(equality)],[1082,1]),
    [iquote('para(1082,1)')] ).

cnf(1095,plain,
    equal(inverse(multiply(multiply(A,B),multiply(C,multiply(inverse(C),D)))),inverse(multiply(A,multiply(E,multiply(multiply(inverse(E),B),D))))),
    inference(flip,[status(thm),theory(equality)],[1094]),
    [iquote('flip(1094)')] ).

cnf(1119,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)],[963,1085]),963]),
    [iquote('para(963,1085),demod([963])')] ).

cnf(1120,plain,
    equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(multiply(inverse(C),multiply(C,A)))),
    inference(flip,[status(thm),theory(equality)],[1119]),
    [iquote('flip(1119)')] ).

cnf(1123,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)],[931,1119]),1]),
    [iquote('para(931,1119),flip(1)')] ).

cnf(1124,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)],[1119,931]),
    [iquote('para(1119,931)')] ).

cnf(1126,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)],[1123,931]),
    [iquote('para(1123,931)')] ).

cnf(1129,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)],[1123,966]),
    [iquote('para(1123,966)')] ).

cnf(1130,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)],[1129]),
    [iquote('flip(1129)')] ).

cnf(1142,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)],[1120,966]),
    [iquote('para(1120,966)')] ).

cnf(1152,plain,
    equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(multiply(A,multiply(C,inverse(C))))),
    inference(para,[status(thm),theory(equality)],[1119,1119]),
    [iquote('para(1119,1119)')] ).

cnf(1156,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)],[1152,966]),
    [iquote('para(1152,966)')] ).

cnf(1160,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)],[1152,1082]),
    [iquote('para(1152,1082)')] ).

cnf(1193,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)],[1123,1]),
    [iquote('para(1123,1)')] ).

cnf(1194,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)],[1193]),
    [iquote('flip(1193)')] ).

cnf(1203,plain,
    equal(inverse(multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(inverse(C),multiply(D,B))))),multiply(E,inverse(E)))),inverse(multiply(inverse(D),C))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[922,1119]),1]),
    [iquote('para(922,1119),flip(1)')] ).

cnf(1227,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(C,inverse(C)))),A))),B),
    inference(para,[status(thm),theory(equality)],[1126,931]),
    [iquote('para(1126,931)')] ).

cnf(1257,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)],[1227,1129]),
    [iquote('para(1227,1129)')] ).

cnf(1258,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)],[1257]),
    [iquote('flip(1257)')] ).

cnf(1261,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)],[1130,966]),
    [iquote('para(1130,966)')] ).

cnf(1277,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(inverse(D),inverse(E)))),A))),inverse(multiply(E,multiply(D,B)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1227,1193]),1]),
    [iquote('para(1227,1193),flip(1)')] ).

cnf(1279,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)],[1194,931]),
    [iquote('para(1194,931)')] ).

cnf(1285,plain,
    equal(inverse(multiply(multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),C),multiply(D,inverse(D)))),inverse(A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[934,1119]),1]),
    [iquote('para(934,1119),flip(1)')] ).

cnf(1286,plain,
    equal(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),inverse(C))))),multiply(multiply(C,multiply(D,inverse(multiply(E,D)))),E)),
    inference(para,[status(thm),theory(equality)],[1285,931]),
    [iquote('para(1285,931)')] ).

cnf(1287,plain,
    equal(multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),C),inverse(multiply(inverse(D),multiply(D,multiply(multiply(E,inverse(E)),inverse(A)))))),
    inference(flip,[status(thm),theory(equality)],[1286]),
    [iquote('flip(1286)')] ).

cnf(1340,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)],[1126,1119]),
    [iquote('para(1126,1119)')] ).

cnf(1343,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)],[1340,931]),
    [iquote('para(1340,931)')] ).

cnf(1449,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)],[1340,1119]),
    [iquote('para(1340,1119)')] ).

cnf(1450,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)],[1449]),
    [iquote('flip(1449)')] ).

cnf(1493,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)],[1227,1142]),
    [iquote('para(1227,1142)')] ).

cnf(1494,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)],[1493]),
    [iquote('flip(1493)')] ).

cnf(1509,plain,
    equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1156,931]),970]),
    [iquote('para(1156,931),demod([970])')] ).

cnf(1513,plain,
    equal(inverse(multiply(inverse(A),multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C))))))),B),
    inference(para,[status(thm),theory(equality)],[1509,931]),
    [iquote('para(1509,931)')] ).

cnf(1517,plain,
    equal(inverse(multiply(inverse(A),multiply(B,multiply(inverse(B),inverse(multiply(C,inverse(C))))))),A),
    inference(para,[status(thm),theory(equality)],[1509,966]),
    [iquote('para(1509,966)')] ).

cnf(1567,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)],[1509,1129]),
    [iquote('para(1509,1129)')] ).

cnf(1568,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)],[1567]),
    [iquote('flip(1567)')] ).

cnf(1571,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)],[1509,1193]),
    [iquote('para(1509,1193)')] ).

cnf(1572,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)],[1571]),
    [iquote('flip(1571)')] ).

cnf(1588,plain,
    equal(inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(B))))),inverse(multiply(C,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[1509,1124]),
    [iquote('para(1509,1124)')] ).

cnf(1624,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)],[1509,1279]),
    [iquote('para(1509,1279)')] ).

cnf(1628,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)],[1509,1343]),
    [iquote('para(1509,1343)')] ).

cnf(1650,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)],[1517,1082]),
    [iquote('para(1517,1082)')] ).

cnf(1725,plain,
    equal(inverse(multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),multiply(C,inverse(C)))),A),
    inference(para,[status(thm),theory(equality)],[1119,1513]),
    [iquote('para(1119,1513)')] ).

cnf(1734,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)],[1725,966]),
    [iquote('para(1725,966)')] ).

cnf(1747,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)],[1509,1734]),
    [iquote('para(1509,1734)')] ).

cnf(1748,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)],[1747]),
    [iquote('flip(1747)')] ).

cnf(1756,plain,
    equal(inverse(multiply(A,inverse(A))),inverse(multiply(multiply(B,inverse(B)),multiply(C,inverse(C))))),
    inference(para,[status(thm),theory(equality)],[1588,1119]),
    [iquote('para(1588,1119)')] ).

cnf(1757,plain,
    equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))),inverse(multiply(C,inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[1756]),
    [iquote('flip(1756)')] ).

cnf(1771,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)],[1757,931]),
    [iquote('para(1757,931)')] ).

cnf(1795,plain,
    equal(inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(B))))),multiply(C,inverse(C))),
    inference(para,[status(thm),theory(equality)],[1509,1771]),
    [iquote('para(1509,1771)')] ).

cnf(1890,plain,
    equal(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),
    inference(para,[status(thm),theory(equality)],[1795,1588]),
    [iquote('para(1795,1588)')] ).

cnf(1901,plain,
    equal(inverse(multiply(inverse(A),multiply(B,multiply(inverse(B),inverse(inverse(multiply(C,inverse(C)))))))),A),
    inference(para,[status(thm),theory(equality)],[1890,966]),
    [iquote('para(1890,966)')] ).

cnf(1961,plain,
    equal(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))))),A),
    inference(para,[status(thm),theory(equality)],[1890,1901]),
    [iquote('para(1890,1901)')] ).

cnf(1964,plain,
    equal(inverse(multiply(inverse(A),multiply(B,inverse(B)))),A),
    inference(para,[status(thm),theory(equality)],[1509,1961]),
    [iquote('para(1509,1961)')] ).

cnf(1968,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)],[1628]),1964]),
    [iquote('back_demod(1628),demod([1964])')] ).

cnf(1981,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)],[1450]),1964,1968]),1]),
    [iquote('back_demod(1450),demod([1964,1968]),flip(1)')] ).

cnf(1984,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)],[1624]),1981]),
    [iquote('back_demod(1624),demod([1981])')] ).

cnf(1985,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)],[1572]),1981]),
    [iquote('back_demod(1572),demod([1981])')] ).

cnf(1986,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)],[1985]),
    [iquote('flip(1985)')] ).

cnf(1999,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)],[1258]),1981]),
    [iquote('back_demod(1258),demod([1981])')] ).

cnf(2000,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)],[1999]),
    [iquote('flip(1999)')] ).

cnf(2006,plain,
    equal(inverse(multiply(inverse(A),multiply(A,inverse(B)))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1343]),1968]),
    [iquote('back_demod(1343),demod([1968])')] ).

cnf(2007,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)],[1984]),2006]),
    [iquote('back_demod(1984),demod([2006])')] ).

cnf(2022,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)],[2000]),2007]),
    [iquote('back_demod(2000),demod([2007])')] ).

cnf(2023,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)],[2022]),
    [iquote('flip(2022)')] ).

cnf(2024,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)],[1986]),2007]),1]),
    [iquote('back_demod(1986),demod([2007]),flip(1)')] ).

cnf(2025,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)],[2023]),2024]),1]),
    [iquote('back_demod(2023),demod([2024]),flip(1)')] ).

cnf(2051,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)],[1748]),2007]),
    [iquote('back_demod(1748),demod([2007])')] ).

cnf(2052,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)],[2051]),
    [iquote('flip(2051)')] ).

cnf(2059,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)],[1568]),2007]),
    [iquote('back_demod(1568),demod([2007])')] ).

cnf(2060,plain,
    equal(inverse(multiply(multiply(A,inverse(A)),B)),multiply(C,inverse(multiply(inverse(inverse(B)),C)))),
    inference(flip,[status(thm),theory(equality)],[2059]),
    [iquote('flip(2059)')] ).

cnf(2065,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)],[1494]),2025]),
    [iquote('back_demod(1494),demod([2025])')] ).

cnf(2066,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)],[2065]),
    [iquote('flip(2065)')] ).

cnf(2072,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)],[1261]),2025]),
    [iquote('back_demod(1261),demod([2025])')] ).

cnf(2074,plain,
    equal(multiply(A,multiply(inverse(A),B)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1160]),2025,1964]),
    [iquote('back_demod(1160),demod([2025,1964])')] ).

cnf(2076,plain,
    equal(multiply(inverse(A),multiply(A,B)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2072]),2074,2074,1981]),
    [iquote('back_demod(2072),demod([2074,2074,1981])')] ).

cnf(2088,plain,
    equal(inverse(inverse(A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2006]),2076]),
    [iquote('back_demod(2006),demod([2076])')] ).

cnf(2090,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)],[2060]),2088]),
    [iquote('back_demod(2060),demod([2088])')] ).

cnf(2091,plain,
    equal(multiply(A,inverse(multiply(B,A))),inverse(multiply(multiply(C,inverse(C)),B))),
    inference(flip,[status(thm),theory(equality)],[2090]),
    [iquote('flip(2090)')] ).

cnf(2092,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)],[2052]),2088]),
    [iquote('back_demod(2052),demod([2088])')] ).

cnf(2093,plain,
    equal(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(multiply(multiply(C,inverse(C)),A))),
    inference(flip,[status(thm),theory(equality)],[2092]),
    [iquote('flip(2092)')] ).

cnf(2112,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)],[1092]),2074,2088]),
    [iquote('back_demod(1092),demod([2074,2088])')] ).

cnf(2113,plain,
    equal(multiply(A,inverse(multiply(B,A))),inverse(B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1065]),2074,2074,2112]),
    [iquote('back_demod(1065),demod([2074,2074,2112])')] ).

cnf(2119,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)],[2091]),2113]),1]),
    [iquote('back_demod(2091),demod([2113]),flip(1)')] ).

cnf(2120,plain,
    equal(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2093]),2119]),
    [iquote('back_demod(2093),demod([2119])')] ).

cnf(2130,plain,
    equal(multiply(multiply(A,inverse(A)),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1650]),2120,2074]),
    [iquote('back_demod(1650),demod([2120,2074])')] ).

cnf(2136,plain,
    equal(multiply(A,multiply(B,inverse(B))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1968]),2130]),
    [iquote('back_demod(1968),demod([2130])')] ).

cnf(2138,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)],[2066]),2074,2088,2136]),1]),
    [iquote('back_demod(2066),demod([2074,2088,2136]),flip(1)')] ).

cnf(2165,plain,
    equal(multiply(multiply(A,inverse(B)),B),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1287]),2113,2130,2076,2088]),
    [iquote('back_demod(1287),demod([2113,2130,2076,2088])')] ).

cnf(2166,plain,
    equal(inverse(multiply(multiply(A,B),C)),inverse(multiply(A,multiply(B,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1277]),2136,2138,2138,2088,2113]),
    [iquote('back_demod(1277),demod([2136,2138,2138,2088,2113])')] ).

cnf(2280,plain,
    equal(inverse(multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(multiply(C,B)),D)))),multiply(inverse(D),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1203]),2138,2136,2138]),
    [iquote('back_demod(1203),demod([2138,2136,2138])')] ).

cnf(2304,plain,
    equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),D)))),inverse(multiply(A,multiply(C,D)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1095]),2074,2166]),1]),
    [iquote('back_demod(1095),demod([2074,2166]),flip(1)')] ).

cnf(2320,plain,
    equal(inverse(multiply(A,multiply(multiply(inverse(A),B),C))),inverse(multiply(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1028]),2074,2304]),1]),
    [iquote('back_demod(1028),demod([2074,2304]),flip(1)')] ).

cnf(2321,plain,
    equal(inverse(multiply(A,multiply(inverse(multiply(B,A)),C))),multiply(inverse(C),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2280]),2320]),
    [iquote('back_demod(2280),demod([2320])')] ).

cnf(2322,plain,
    equal(inverse(multiply(A,inverse(B))),multiply(B,inverse(A))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1023]),2113,2304,2320]),1]),
    [iquote('back_demod(1023),demod([2113,2304,2320]),flip(1)')] ).

cnf(2758,plain,
    equal(inverse(multiply(A,B)),multiply(inverse(B),inverse(A))),
    inference(para,[status(thm),theory(equality)],[2088,2322]),
    [iquote('para(2088,2322)')] ).

cnf(2980,plain,
    equal(multiply(multiply(inverse(A),multiply(B,C)),inverse(C)),multiply(inverse(A),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2321]),2758,2758,2758,2758,2088,2088]),
    [iquote('back_demod(2321),demod([2758,2758,2758,2758,2088,2088])')] ).

cnf(3119,plain,
    equal(multiply(multiply(A,multiply(B,C)),inverse(C)),multiply(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2088,2980]),2088]),
    [iquote('para(2088,2980),demod([2088])')] ).

cnf(3202,plain,
    equal(multiply(multiply(A,B),inverse(C)),multiply(A,multiply(B,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[2165,3119]),
    [iquote('para(2165,3119)')] ).

cnf(3283,plain,
    equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2088,3202]),2088]),
    [iquote('para(2088,3202),demod([2088])')] ).

cnf(3284,plain,
    $false,
    inference(conflict,[status(thm)],[3283,2]),
    [iquote('conflict(3283,2)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP441-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 : Tue Jun 14 06:33:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.74/1.60  ----- EQP 0.9e, May 2009 -----
% 0.74/1.60  The job began on n020.cluster.edu, Tue Jun 14 06:33:35 2022
% 0.74/1.60  The command was "./eqp09e".
% 0.74/1.60  
% 0.74/1.60  set(prolog_style_variables).
% 0.74/1.60  set(lrpo).
% 0.74/1.60  set(basic_paramod).
% 0.74/1.60  set(functional_subsume).
% 0.74/1.60  set(ordered_paramod).
% 0.74/1.60  set(prime_paramod).
% 0.74/1.60  set(para_pairs).
% 0.74/1.60  assign(pick_given_ratio,4).
% 0.74/1.60  clear(print_kept).
% 0.74/1.60  clear(print_new_demod).
% 0.74/1.60  clear(print_back_demod).
% 0.74/1.60  clear(print_given).
% 0.74/1.60  assign(max_mem,64000).
% 0.74/1.60  end_of_commands.
% 0.74/1.60  
% 0.74/1.60  Usable:
% 0.74/1.60  end_of_list.
% 0.74/1.60  
% 0.74/1.60  Sos:
% 0.74/1.60  0 (wt=-1) [] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D.
% 0.74/1.60  0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.74/1.60  end_of_list.
% 0.74/1.60  
% 0.74/1.60  Demodulators:
% 0.74/1.60  end_of_list.
% 0.74/1.60  
% 0.74/1.60  Passive:
% 0.74/1.60  end_of_list.
% 0.74/1.60  
% 0.74/1.60  Starting to process input.
% 0.74/1.60  
% 0.74/1.60  ** KEPT: 1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D.
% 0.74/1.60  1 is a new demodulator.
% 0.74/1.60  
% 0.74/1.60  ** KEPT: 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.74/1.60  ---------------- PROOF FOUND ----------------
% 0.74/1.60  % SZS status Unsatisfiable
% 0.74/1.60  
% 0.74/1.60  
% 0.74/1.60  After processing input:
% 0.74/1.60  
% 0.74/1.60  Usable:
% 0.74/1.60  end_of_list.
% 0.74/1.60  
% 0.74/1.60  Sos:
% 0.74/1.60  2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.74/1.60  1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D.
% 0.74/1.60  end_of_list.
% 0.74/1.60  
% 0.74/1.60  Demodulators:
% 0.74/1.60  1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D.
% 0.74/1.60  end_of_list.
% 0.74/1.60  
% 0.74/1.60  Passive:
% 0.74/1.60  end_of_list.
% 0.74/1.60  
% 0.74/1.60  UNIT CONFLICT from 3283 and 2 at   0.41 seconds.
% 0.74/1.60  
% 0.74/1.60  ---------------- PROOF ----------------
% 0.74/1.60  % SZS output start Refutation
% See solution above
% 0.74/1.60  ------------ end of proof -------------
% 0.74/1.60  
% 0.74/1.60  
% 0.74/1.60  ------------- memory usage ------------
% 0.74/1.60  Memory dynamically allocated (tp_alloc): 13671.
% 0.74/1.60    type (bytes each)        gets      frees     in use      avail      bytes
% 0.74/1.60  sym_ent (  96)               57          0         57          0      5.3 K
% 0.74/1.60  term (  16)              574799     412891     161908         46   3150.3 K
% 0.74/1.60  gen_ptr (   8)          1421105     297484    1123621        130   8779.3 K
% 0.74/1.60  context ( 808)           277063     277061          2         22     18.9 K
% 0.74/1.60  trail (  12)             140493     140493          0         24      0.3 K
% 0.74/1.60  bt_node (  68)            34644      34642          2         58      4.0 K
% 0.74/1.60  ac_position (285432)          0          0          0          0      0.0 K
% 0.74/1.60  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.74/1.60  ac_match_free_vars_pos (4020)
% 0.74/1.60                                0          0          0          0      0.0 K
% 0.74/1.60  discrim (  12)           120281     117866       2415      64981    789.8 K
% 0.74/1.60  flat (  40)             1433843    1433843          0        106      4.1 K
% 0.74/1.60  discrim_pos (  12)        19530      19530          0          1      0.0 K
% 0.74/1.60  fpa_head (  12)            6084          0       6084          0     71.3 K
% 0.74/1.60  fpa_tree (  28)           25180      25180          0         33      0.9 K
% 0.74/1.60  fpa_pos (  36)             5532       5532          0          1      0.0 K
% 0.74/1.60  literal (  12)            11057       7774       3283          1     38.5 K
% 0.74/1.60  clause (  24)             11057       7774       3283          1     77.0 K
% 0.74/1.60  list (  12)                2308       2252         56         28      1.0 K
% 0.74/1.60  list_pos (  20)           20923      17394       3529       6450    194.9 K
% 0.74/1.60  pair_index (   40)              2          0          2          0      0.1 K
% 0.74/1.60  
% 0.74/1.60  -------------- statistics -------------
% 0.74/1.60  Clauses input                  2
% 0.74/1.60    Usable input                   0
% 0.74/1.60    Sos input                      2
% 0.74/1.60    Demodulators input             0
% 0.74/1.60    Passive input                  0
% 0.74/1.60  
% 0.74/1.60  Processed BS (before search)   2
% 0.74/1.60  Forward subsumed BS            0
% 0.74/1.60  Kept BS                        2
% 0.74/1.60  New demodulators BS            1
% 0.74/1.60  Back demodulated BS            0
% 0.74/1.60  
% 0.74/1.60  Clauses or pairs given      2333
% 0.74/1.60  Clauses generated           6294
% 0.74/1.60  Forward subsumed            3013
% 0.74/1.60  Deleted by weight              0
% 0.74/1.60  Deleted by variable count      0
% 0.74/1.60  Kept                        3281
% 0.74/1.60  New demodulators            2248
% 0.74/1.60  Back demodulated            3198
% 0.74/1.60  Ordered paramod prunes         0
% 0.74/1.60  Basic paramod prunes       25750
% 0.74/1.60  Prime paramod prunes          38
% 0.74/1.60  Semantic prunes                0
% 0.74/1.60  
% 0.74/1.60  Rewrite attmepts          201485
% 0.74/1.60  Rewrites                   18470
% 0.74/1.60  
% 0.74/1.60  FPA overloads                  0
% 0.74/1.60  FPA underloads                 0
% 0.74/1.60  
% 0.74/1.60  Usable size                    0
% 0.74/1.60  Sos size                      84
% 0.74/1.60  Demodulators size             79
% 0.74/1.60  Passive size                   0
% 0.74/1.60  Disabled size               3198
% 0.74/1.60  
% 0.74/1.60  Proofs found                   1
% 0.74/1.60  
% 0.74/1.60  ----------- times (seconds) ----------- Tue Jun 14 06:33:36 2022
% 0.74/1.60  
% 0.74/1.60  user CPU time             0.41   (0 hr, 0 min, 0 sec)
% 0.74/1.60  system CPU time           0.09   (0 hr, 0 min, 0 sec)
% 0.74/1.60  wall-clock time           1      (0 hr, 0 min, 1 sec)
% 0.74/1.60  input time                0.00
% 0.74/1.60  paramodulation time       0.03
% 0.74/1.60  demodulation time         0.06
% 0.74/1.60  orient time               0.02
% 0.74/1.60  weigh time                0.00
% 0.74/1.60  forward subsume time      0.01
% 0.74/1.60  back demod find time      0.04
% 0.74/1.60  conflict time             0.00
% 0.74/1.60  LRPO time                 0.01
% 0.74/1.60  store clause time         0.14
% 0.74/1.60  disable clause time       0.06
% 0.74/1.60  prime paramod time        0.01
% 0.74/1.60  semantics time            0.00
% 0.74/1.60  
% 0.74/1.60  EQP interrupted
%------------------------------------------------------------------------------