TSTP Solution File: GRP444-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP444-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n015.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 08:47:24 EDT 2022
% Result : Unsatisfiable 1.54s 1.92s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 2
% Syntax : Number of clauses : 143 ( 143 unt; 0 nHn; 2 RR)
% Number of literals : 143 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 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 : 620 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))),D),
file('GRP444-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP444-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(multiply(C,multiply(D,multiply(multiply(E,inverse(E)),inverse(multiply(F,multiply(C,D)))))),F),inverse(multiply(G,multiply(A,B))))))),G),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,A)))),multiply(multiply(E,inverse(E)),C)))),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(6,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(E,multiply(B,C)))))),E),inverse(multiply(F,multiply(G,A)))),multiply(multiply(H,inverse(H)),F)))),G),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(9,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,D)))),multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(F,inverse(F)),C)))),D),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(14,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(multiply(C,inverse(C)),D),multiply(multiply(E,inverse(E)),F)))),multiply(multiply(G,inverse(G)),inverse(multiply(B,multiply(D,F))))),
inference(para,[status(thm),theory(equality)],[9,1]),
[iquote('para(9,1)')] ).
cnf(15,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,D)))),inverse(multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(multiply(F,inverse(F)),C),multiply(multiply(G,inverse(G)),D))))),
inference(flip,[status(thm),theory(equality)],[14]),
[iquote('flip(14)')] ).
cnf(21,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(multiply(D,multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(F,inverse(F)),C)))))))),D),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,14]),1]),
[iquote('para(1,14),flip(1)')] ).
cnf(27,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,multiply(C,inverse(multiply(D,multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(F,inverse(F)),C))))))),multiply(multiply(G,inverse(G)),inverse(multiply(H,D)))))),H),
inference(para,[status(thm),theory(equality)],[21,1]),
[iquote('para(21,1)')] ).
cnf(46,plain,
equal(inverse(multiply(A,multiply(B,inverse(multiply(multiply(multiply(C,inverse(C)),D),multiply(multiply(multiply(E,inverse(E)),A),multiply(multiply(F,inverse(F)),B))))))),D),
inference(para,[status(thm),theory(equality)],[15,1]),
[iquote('para(15,1)')] ).
cnf(48,plain,
equal(inverse(multiply(multiply(multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))))),D),inverse(multiply(E,multiply(F,G)))),multiply(multiply(multiply(H,inverse(H)),E),multiply(multiply(I,inverse(I)),F)))),G),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(54,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),D)))),multiply(A,B))),D),
inference(para,[status(thm),theory(equality)],[4,46]),
[iquote('para(4,46)')] ).
cnf(57,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),D)))),inverse(multiply(A,multiply(B,multiply(multiply(E,inverse(E)),D))))),
inference(para,[status(thm),theory(equality)],[54,1]),
[iquote('para(54,1)')] ).
cnf(62,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),C),multiply(multiply(D,inverse(D)),inverse(multiply(E,multiply(A,multiply(multiply(F,inverse(F)),C)))))))),E),
inference(para,[status(thm),theory(equality)],[57,1]),
[iquote('para(57,1)')] ).
cnf(84,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(E,multiply(multiply(F,inverse(F)),B))))),multiply(multiply(G,inverse(G)),D)))),E),
inference(para,[status(thm),theory(equality)],[62,1]),
[iquote('para(62,1)')] ).
cnf(126,plain,
equal(multiply(multiply(A,inverse(A)),B),multiply(multiply(C,inverse(C)),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[84,1]),9]),
[iquote('para(84,1),demod([9])')] ).
cnf(129,plain,
equal(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),C),multiply(multiply(D,inverse(D)),C)),
inference(para,[status(thm),theory(equality)],[126,126]),
[iquote('para(126,126)')] ).
cnf(130,plain,
equal(multiply(multiply(A,inverse(A)),B),multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(D)))),B)),
inference(flip,[status(thm),theory(equality)],[129]),
[iquote('flip(129)')] ).
cnf(135,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(D)))),inverse(multiply(E,multiply(A,B))))))),E),
inference(para,[status(thm),theory(equality)],[126,1]),
[iquote('para(126,1)')] ).
cnf(137,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[126,1]),1]),
[iquote('para(126,1),demod([1])')] ).
cnf(139,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))),
inference(para,[status(thm),theory(equality)],[126,137]),
[iquote('para(126,137)')] ).
cnf(140,plain,
equal(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[139]),
[iquote('flip(139)')] ).
cnf(144,plain,
equal(multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))))),D),multiply(E,inverse(E))),
inference(para,[status(thm),theory(equality)],[1,137]),
[iquote('para(1,137)')] ).
cnf(146,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,inverse(D)))))))),C),
inference(para,[status(thm),theory(equality)],[137,1]),
[iquote('para(137,1)')] ).
cnf(149,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C)))),multiply(D,inverse(D)))),C),
inference(para,[status(thm),theory(equality)],[137,54]),
[iquote('para(137,54)')] ).
cnf(152,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))))),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[129,137]),
[iquote('para(129,137)')] ).
cnf(153,plain,
equal(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(D))))))),
inference(flip,[status(thm),theory(equality)],[152]),
[iquote('flip(152)')] ).
cnf(154,plain,
equal(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),inverse(multiply(C,inverse(C)))),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[130,137]),
[iquote('para(130,137)')] ).
cnf(283,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C)))),inverse(multiply(D,multiply(inverse(D),multiply(multiply(E,inverse(E)),C))))),
inference(para,[status(thm),theory(equality)],[54,146]),
[iquote('para(54,146)')] ).
cnf(300,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))),D)))),inverse(multiply(E,multiply(inverse(E),multiply(multiply(F,inverse(F)),D))))),
inference(para,[status(thm),theory(equality)],[126,283]),
[iquote('para(126,283)')] ).
cnf(301,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C)))),inverse(multiply(D,multiply(inverse(D),multiply(multiply(multiply(E,inverse(E)),inverse(multiply(F,inverse(F)))),C))))),
inference(flip,[status(thm),theory(equality)],[300]),
[iquote('flip(300)')] ).
cnf(336,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(multiply(E,inverse(E)),inverse(multiply(F,inverse(F)))))))))))),C),
inference(para,[status(thm),theory(equality)],[153,1]),
[iquote('para(153,1)')] ).
cnf(339,plain,
equal(inverse(multiply(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),multiply(inverse(multiply(C,inverse(C))),multiply(multiply(D,inverse(D)),E)))),multiply(F,inverse(F)))),E),
inference(para,[status(thm),theory(equality)],[154,54]),
[iquote('para(154,54)')] ).
cnf(351,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))),inverse(multiply(D,multiply(multiply(E,inverse(E)),inverse(multiply(F,inverse(F)))))))))),D),
inference(para,[status(thm),theory(equality)],[140,135]),
[iquote('para(140,135)')] ).
cnf(362,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,D))),multiply(B,C)))),D),
inference(para,[status(thm),theory(equality)],[14,9]),
[iquote('para(14,9)')] ).
cnf(369,plain,
equal(inverse(multiply(A,multiply(inverse(A),B))),inverse(multiply(C,multiply(inverse(C),B)))),
inference(para,[status(thm),theory(equality)],[362,146]),
[iquote('para(362,146)')] ).
cnf(372,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(multiply(C,multiply(inverse(C),inverse(inverse(A)))))),
inference(para,[status(thm),theory(equality)],[137,369]),
[iquote('para(137,369)')] ).
cnf(373,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(inverse(B))))),inverse(multiply(B,multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[372]),
[iquote('flip(372)')] ).
cnf(388,plain,
equal(inverse(multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))))),inverse(multiply(D,multiply(inverse(D),inverse(inverse(A)))))),
inference(para,[status(thm),theory(equality)],[140,369]),
[iquote('para(140,369)')] ).
cnf(413,plain,
equal(inverse(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(inverse(D),B))))))),A),
inference(para,[status(thm),theory(equality)],[369,1]),
[iquote('para(369,1)')] ).
cnf(435,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(inverse(C),inverse(inverse(D))))))))),D),
inference(para,[status(thm),theory(equality)],[372,1]),
[iquote('para(372,1)')] ).
cnf(439,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),D))))))))),D),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[54,372]),1]),
[iquote('para(54,372),flip(1)')] ).
cnf(444,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(multiply(C,inverse(C)),inverse(multiply(B,multiply(D,inverse(D)))))))),A),
inference(para,[status(thm),theory(equality)],[373,1]),
[iquote('para(373,1)')] ).
cnf(637,plain,
equal(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(inverse(B),inverse(multiply(C,inverse(C))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[144,372]),1]),
[iquote('para(144,372),demod([1])')] ).
cnf(638,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(multiply(B,inverse(B)))))),inverse(multiply(C,inverse(C)))),
inference(flip,[status(thm),theory(equality)],[637]),
[iquote('flip(637)')] ).
cnf(674,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(multiply(B,inverse(B))),multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(D))))))),A),
inference(para,[status(thm),theory(equality)],[638,1]),
[iquote('para(638,1)')] ).
cnf(679,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))),A),
inference(para,[status(thm),theory(equality)],[137,674]),
[iquote('para(137,674)')] ).
cnf(689,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(multiply(inverse(C),multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E)))),C),inverse(multiply(F,multiply(A,B))))))),F),
inference(para,[status(thm),theory(equality)],[679,1]),
[iquote('para(679,1)')] ).
cnf(690,plain,
equal(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),multiply(multiply(C,inverse(C)),D)))),inverse(D)),
inference(para,[status(thm),theory(equality)],[679,1]),
[iquote('para(679,1)')] ).
cnf(693,plain,
equal(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),multiply(C,inverse(C))))),inverse(inverse(multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[137,690]),
[iquote('para(137,690)')] ).
cnf(694,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(multiply(C,inverse(C)),multiply(D,inverse(D)))))),
inference(flip,[status(thm),theory(equality)],[693]),
[iquote('flip(693)')] ).
cnf(699,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),multiply(multiply(C,inverse(C)),D))),D),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[54,679]),1]),
[iquote('para(54,679),flip(1)')] ).
cnf(746,plain,
equal(inverse(inverse(multiply(A,multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))))),A),
inference(para,[status(thm),theory(equality)],[699,1]),
[iquote('para(699,1)')] ).
cnf(784,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(inverse(multiply(B,multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))))),B),inverse(multiply(E,multiply(F,inverse(F)))))))),E),
inference(para,[status(thm),theory(equality)],[746,146]),
[iquote('para(746,146)')] ).
cnf(983,plain,
equal(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(inverse(multiply(A,B)),multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E))))),
inference(para,[status(thm),theory(equality)],[137,689]),
[iquote('para(137,689)')] ).
cnf(1042,plain,
equal(inverse(inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))))),multiply(C,inverse(C))),
inference(para,[status(thm),theory(equality)],[699,413]),
[iquote('para(699,413)')] ).
cnf(1118,plain,
equal(inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(multiply(C,multiply(inverse(C),multiply(D,inverse(D))))),multiply(E,inverse(E))),inverse(multiply(F,multiply(inverse(F),B))))))),A),
inference(para,[status(thm),theory(equality)],[1042,413]),
[iquote('para(1042,413)')] ).
cnf(1668,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(B,multiply(inverse(B),C))))),C))),A),
inference(para,[status(thm),theory(equality)],[362,444]),
[iquote('para(362,444)')] ).
cnf(1682,plain,
equal(inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(A),B))))),multiply(B,multiply(multiply(C,inverse(C)),D)))),inverse(D)),
inference(para,[status(thm),theory(equality)],[1668,1]),
[iquote('para(1668,1)')] ).
cnf(1687,plain,
equal(inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(A),B))))),multiply(B,multiply(C,inverse(C))))),inverse(inverse(multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[137,1682]),
[iquote('para(137,1682)')] ).
cnf(1695,plain,
equal(multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(A),B))))),multiply(B,multiply(multiply(C,inverse(C)),D))),D),
inference(para,[status(thm),theory(equality)],[1668,54]),
[iquote('para(1668,54)')] ).
cnf(1747,plain,
equal(inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(A),B))))),multiply(multiply(B,multiply(multiply(C,inverse(C)),D)),multiply(multiply(E,inverse(E)),inverse(multiply(F,D)))))),F),
inference(para,[status(thm),theory(equality)],[1695,1]),
[iquote('para(1695,1)')] ).
cnf(2178,plain,
equal(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(D,multiply(E,multiply(multiply(F,inverse(F)),inverse(multiply(multiply(A,B),multiply(D,E))))))),
inference(para,[status(thm),theory(equality)],[137,3]),
[iquote('para(137,3)')] ).
cnf(2179,plain,
equal(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,E),multiply(A,B)))))),inverse(multiply(D,multiply(E,multiply(F,inverse(F)))))),
inference(flip,[status(thm),theory(equality)],[2178]),
[iquote('flip(2178)')] ).
cnf(2188,plain,
equal(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(multiply(D,inverse(D)),multiply(E,multiply(multiply(F,inverse(F)),inverse(multiply(multiply(A,B),multiply(multiply(G,inverse(G)),E))))))),
inference(para,[status(thm),theory(equality)],[2179,126]),
[iquote('para(2179,126)')] ).
cnf(2189,plain,
equal(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,E),multiply(multiply(F,inverse(F)),B)))))),inverse(multiply(D,multiply(E,multiply(G,inverse(G)))))),
inference(flip,[status(thm),theory(equality)],[2188]),
[iquote('flip(2188)')] ).
cnf(2286,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(B,multiply(inverse(B),multiply(C,inverse(C))))))),multiply(D,inverse(D))))),A),
inference(para,[status(thm),theory(equality)],[137,1118]),
[iquote('para(137,1118)')] ).
cnf(2435,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),multiply(inverse(multiply(C,inverse(C))),multiply(multiply(D,inverse(D)),inverse(multiply(E,multiply(inverse(E),inverse(inverse(F))))))))),F),
inference(para,[status(thm),theory(equality)],[130,435]),
[iquote('para(130,435)')] ).
cnf(2459,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(B,inverse(B)),multiply(inverse(multiply(C,inverse(C))),multiply(multiply(D,inverse(D)),E))))))))),E),
inference(para,[status(thm),theory(equality)],[388,54]),
[iquote('para(388,54)')] ).
cnf(2582,plain,
equal(multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))))),multiply(multiply(C,inverse(C)),multiply(multiply(D,inverse(D)),E))),E),
inference(para,[status(thm),theory(equality)],[2286,54]),
[iquote('para(2286,54)')] ).
cnf(2640,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(inverse(multiply(B,multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))))),B),E)))),inverse(multiply(F,multiply(inverse(F),multiply(multiply(G,inverse(G)),E))))),
inference(para,[status(thm),theory(equality)],[746,283]),
[iquote('para(746,283)')] ).
cnf(2641,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C)))),inverse(multiply(D,multiply(inverse(D),multiply(multiply(inverse(multiply(E,multiply(inverse(multiply(F,inverse(F))),multiply(G,inverse(G))))),E),C))))),
inference(flip,[status(thm),theory(equality)],[2640]),
[iquote('flip(2640)')] ).
cnf(2643,plain,
equal(multiply(inverse(multiply(inverse(A),inverse(multiply(B,inverse(B))))),multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))),A),
inference(para,[status(thm),theory(equality)],[983,679]),
[iquote('para(983,679)')] ).
cnf(2653,plain,
equal(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2643,679]),1]),
[iquote('para(2643,679),flip(1)')] ).
cnf(2660,plain,
equal(multiply(inverse(inverse(A)),multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2643]),2653]),
[iquote('back_demod(2643),demod([2653])')] ).
cnf(2670,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)],[369,2660]),2660]),
[iquote('para(369,2660),demod([2660])')] ).
cnf(2679,plain,
equal(multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C))))),multiply(D,multiply(inverse(D),inverse(inverse(A))))),
inference(para,[status(thm),theory(equality)],[140,2670]),
[iquote('para(140,2670)')] ).
cnf(2680,plain,
equal(multiply(A,multiply(inverse(A),inverse(inverse(B)))),multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(D)))))),
inference(flip,[status(thm),theory(equality)],[2679]),
[iquote('flip(2679)')] ).
cnf(2692,plain,
equal(multiply(multiply(inverse(A),multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))),multiply(A,D)),multiply(E,multiply(inverse(E),D))),
inference(para,[status(thm),theory(equality)],[679,2670]),
[iquote('para(679,2670)')] ).
cnf(2702,plain,
equal(multiply(inverse(A),A),multiply(B,multiply(inverse(B),multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))))),
inference(para,[status(thm),theory(equality)],[2660,2670]),
[iquote('para(2660,2670)')] ).
cnf(2724,plain,
equal(multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))))),multiply(D,E)),multiply(F,multiply(inverse(F),E))),
inference(para,[status(thm),theory(equality)],[1,2670]),
[iquote('para(1,2670)')] ).
cnf(2799,plain,
equal(multiply(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,inverse(D))))))),multiply(C,E)),multiply(F,multiply(inverse(F),E))),
inference(para,[status(thm),theory(equality)],[146,2670]),
[iquote('para(146,2670)')] ).
cnf(2800,plain,
equal(multiply(A,multiply(inverse(A),B)),multiply(multiply(C,multiply(inverse(C),multiply(multiply(D,inverse(D)),inverse(multiply(E,multiply(F,inverse(F))))))),multiply(E,B))),
inference(flip,[status(thm),theory(equality)],[2799]),
[iquote('flip(2799)')] ).
cnf(2861,plain,
equal(inverse(multiply(inverse(inverse(A)),multiply(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))),multiply(multiply(D,inverse(D)),inverse(multiply(E,A)))))),E),
inference(para,[status(thm),theory(equality)],[2660,1]),
[iquote('para(2660,1)')] ).
cnf(2911,plain,
equal(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(D)))))),multiply(E,multiply(inverse(E),multiply(inverse(inverse(A)),inverse(inverse(B)))))),
inference(para,[status(thm),theory(equality)],[2680,2670]),
[iquote('para(2680,2670)')] ).
cnf(2912,plain,
equal(multiply(A,multiply(inverse(A),multiply(inverse(inverse(B)),inverse(inverse(C))))),multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(E,inverse(E))))))),
inference(flip,[status(thm),theory(equality)],[2911]),
[iquote('flip(2911)')] ).
cnf(3133,plain,
equal(multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))))),multiply(E,inverse(E))),multiply(F,multiply(inverse(F),inverse(D)))),
inference(para,[status(thm),theory(equality)],[137,2724]),
[iquote('para(137,2724)')] ).
cnf(3134,plain,
equal(multiply(A,multiply(inverse(A),inverse(B))),multiply(multiply(C,multiply(D,multiply(multiply(E,inverse(E)),inverse(multiply(B,multiply(C,D)))))),multiply(F,inverse(F)))),
inference(flip,[status(thm),theory(equality)],[3133]),
[iquote('flip(3133)')] ).
cnf(3195,plain,
equal(inverse(multiply(inverse(A),multiply(B,multiply(inverse(B),multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))))))),A),
inference(para,[status(thm),theory(equality)],[2702,679]),
[iquote('para(2702,679)')] ).
cnf(3286,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(inverse(multiply(B,inverse(B))),multiply(multiply(C,inverse(C)),multiply(D,inverse(D))))),E)),multiply(F,multiply(inverse(F),E))),
inference(para,[status(thm),theory(equality)],[694,2670]),
[iquote('para(694,2670)')] ).
cnf(3287,plain,
equal(multiply(A,multiply(inverse(A),B)),multiply(inverse(multiply(C,inverse(C))),multiply(inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(E,inverse(E)),multiply(F,inverse(F))))),B))),
inference(flip,[status(thm),theory(equality)],[3286]),
[iquote('flip(3286)')] ).
cnf(3371,plain,
equal(inverse(multiply(inverse(inverse(inverse(A))),multiply(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))),multiply(D,inverse(D))))),A),
inference(para,[status(thm),theory(equality)],[137,2861]),
[iquote('para(137,2861)')] ).
cnf(3378,plain,
equal(inverse(multiply(inverse(inverse(inverse(A))),multiply(B,multiply(inverse(B),inverse(inverse(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))))))))),A),
inference(para,[status(thm),theory(equality)],[2670,3371]),
[iquote('para(2670,3371)')] ).
cnf(3507,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(multiply(multiply(D,inverse(D)),E),multiply(multiply(F,inverse(F)),G)),multiply(multiply(multiply(H,inverse(H)),B),multiply(multiply(I,inverse(I)),C))))))),multiply(multiply(J,inverse(J)),K)))),multiply(multiply(multiply(L,multiply(M,multiply(multiply(N,inverse(N)),inverse(multiply(O,multiply(L,M)))))),O),inverse(multiply(E,multiply(G,K))))),
inference(para,[status(thm),theory(equality)],[48,27]),
[iquote('para(48,27)')] ).
cnf(3508,plain,
equal(multiply(multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))))),D),inverse(multiply(E,multiply(F,G)))),inverse(multiply(multiply(H,inverse(H)),multiply(inverse(multiply(I,multiply(J,inverse(multiply(multiply(multiply(multiply(K,inverse(K)),E),multiply(multiply(L,inverse(L)),F)),multiply(multiply(multiply(M,inverse(M)),I),multiply(multiply(N,inverse(N)),J))))))),multiply(multiply(O,inverse(O)),G))))),
inference(flip,[status(thm),theory(equality)],[3507]),
[iquote('flip(3507)')] ).
cnf(3619,plain,
equal(multiply(multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(A),B))))),multiply(B,multiply(C,inverse(C)))),multiply(inverse(inverse(multiply(D,inverse(D)))),E)),multiply(F,multiply(inverse(F),E))),
inference(para,[status(thm),theory(equality)],[1687,2670]),
[iquote('para(1687,2670)')] ).
cnf(3620,plain,
equal(multiply(A,multiply(inverse(A),B)),multiply(multiply(inverse(inverse(inverse(multiply(C,multiply(inverse(C),D))))),multiply(D,multiply(E,inverse(E)))),multiply(inverse(inverse(multiply(F,inverse(F)))),B))),
inference(flip,[status(thm),theory(equality)],[3619]),
[iquote('flip(3619)')] ).
cnf(3636,plain,
equal(multiply(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))),multiply(multiply(D,inverse(D)),E)),multiply(F,multiply(inverse(F),E))),
inference(para,[status(thm),theory(equality)],[126,2692]),
[iquote('para(126,2692)')] ).
cnf(3637,plain,
equal(multiply(A,multiply(inverse(A),B)),multiply(multiply(inverse(multiply(C,inverse(C))),multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E)))),multiply(multiply(F,inverse(F)),B))),
inference(flip,[status(thm),theory(equality)],[3636]),
[iquote('flip(3636)')] ).
cnf(3863,plain,
equal(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),C))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2702,54]),3195]),
[iquote('para(2702,54),demod([3195])')] ).
cnf(3932,plain,
equal(multiply(inverse(inverse(multiply(A,inverse(A)))),B),multiply(multiply(C,inverse(C)),B)),
inference(para,[status(thm),theory(equality)],[3863,3863]),
[iquote('para(3863,3863)')] ).
cnf(3933,plain,
equal(multiply(multiply(A,inverse(A)),B),multiply(inverse(inverse(multiply(C,inverse(C)))),B)),
inference(flip,[status(thm),theory(equality)],[3932]),
[iquote('flip(3932)')] ).
cnf(3936,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3933,137]),2653]),
[iquote('para(3933,137),demod([2653])')] ).
cnf(3951,plain,
equal(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),multiply(multiply(C,inverse(C)),D))),D),
inference(para,[status(thm),theory(equality)],[3936,3863]),
[iquote('para(3936,3863)')] ).
cnf(3954,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(B)))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2459]),3951]),
[iquote('back_demod(2459),demod([3951])')] ).
cnf(3969,plain,
equal(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[439]),3954]),
[iquote('back_demod(439),demod([3954])')] ).
cnf(3989,plain,
equal(multiply(A,multiply(inverse(A),B)),multiply(inverse(multiply(C,multiply(D,inverse(D)))),multiply(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2800]),3969]),
[iquote('back_demod(2800),demod([3969])')] ).
cnf(3990,plain,
equal(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)),multiply(D,multiply(inverse(D),C))),
inference(flip,[status(thm),theory(equality)],[3989]),
[iquote('flip(3989)')] ).
cnf(3991,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(inverse(multiply(B,multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))))),B),E)))),inverse(E)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2641]),3969]),1]),
[iquote('back_demod(2641),demod([3969]),flip(1)')] ).
cnf(3995,plain,
equal(inverse(inverse(multiply(A,multiply(B,inverse(B))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[784]),3991]),
[iquote('back_demod(784),demod([3991])')] ).
cnf(4002,plain,
equal(inverse(multiply(inverse(inverse(inverse(A))),multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3378]),3995,2653]),
[iquote('back_demod(3378),demod([3995,2653])')] ).
cnf(4102,plain,
equal(inverse(inverse(multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(D))))))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[336]),3969]),
[iquote('back_demod(336),demod([3969])')] ).
cnf(4103,plain,
equal(inverse(multiply(A,multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))),D)))),inverse(D)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[301]),3969]),1]),
[iquote('back_demod(301),demod([3969]),flip(1)')] ).
cnf(4104,plain,
equal(inverse(inverse(multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C))))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[351]),4103]),
[iquote('back_demod(351),demod([4103])')] ).
cnf(4126,plain,
equal(inverse(multiply(inverse(A),multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[149]),3969]),
[iquote('back_demod(149),demod([3969])')] ).
cnf(4127,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4002]),4126]),
[iquote('back_demod(4002),demod([4126])')] ).
cnf(4130,plain,
equal(multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4104]),4127]),
[iquote('back_demod(4104),demod([4127])')] ).
cnf(4139,plain,
equal(multiply(A,multiply(inverse(A),multiply(B,C))),multiply(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2912]),4127,4127,4130]),
[iquote('back_demod(2912),demod([4127,4127,4130])')] ).
cnf(4142,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),C)),inverse(C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4103]),4139]),
[iquote('back_demod(4103),demod([4139])')] ).
cnf(4145,plain,
equal(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(inverse(C),D)))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2435]),4127,4142]),
[iquote('back_demod(2435),demod([4127,4142])')] ).
cnf(4152,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[339]),4142,4126]),
[iquote('back_demod(339),demod([4142,4126])')] ).
cnf(4153,plain,
equal(multiply(A,multiply(inverse(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4145]),4152,4127]),
[iquote('back_demod(4145),demod([4152,4127])')] ).
cnf(4158,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,inverse(B))),C)),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3287]),4153,4152]),1]),
[iquote('back_demod(3287),demod([4153,4152]),flip(1)')] ).
cnf(4160,plain,
equal(multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),C)),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3637]),4153,4158]),1]),
[iquote('back_demod(3637),demod([4153,4158]),flip(1)')] ).
cnf(4233,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2582]),4153,4127,4160]),
[iquote('back_demod(2582),demod([4153,4127,4160])')] ).
cnf(4235,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4152]),4233]),
[iquote('back_demod(4152),demod([4233])')] ).
cnf(4282,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4130]),4235]),
[iquote('back_demod(4130),demod([4235])')] ).
cnf(4283,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4102]),4282,4282,4127]),
[iquote('back_demod(4102),demod([4282,4282,4127])')] ).
cnf(4300,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3990]),4283,4153]),
[iquote('back_demod(3990),demod([4283,4153])')] ).
cnf(4302,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3620]),4153,4153,4127,4283,4127,4235]),1]),
[iquote('back_demod(3620),demod([4153,4153,4127,4283,4127,4235]),flip(1)')] ).
cnf(4322,plain,
equal(multiply(A,multiply(B,inverse(multiply(C,multiply(A,B))))),inverse(C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3134]),4153,4235,4283]),1]),
[iquote('back_demod(3134),demod([4153,4235,4283]),flip(1)')] ).
cnf(4334,plain,
equal(multiply(A,inverse(multiply(multiply(B,C),A))),inverse(multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2189]),4235,4235,4235,4283]),
[iquote('back_demod(2189),demod([4235,4235,4235,4283])')] ).
cnf(4359,plain,
equal(inverse(multiply(multiply(A,B),C)),inverse(multiply(A,multiply(B,C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3508]),4235,4322,4302,4235,4235,4235,4235,4322,4127,4235,4235]),1]),
[iquote('back_demod(3508),demod([4235,4322,4302,4235,4235,4235,4235,4322,4127,4235,4235]),flip(1)')] ).
cnf(4360,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),inverse(multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4334]),4359]),
[iquote('back_demod(4334),demod([4359])')] ).
cnf(4361,plain,
equal(multiply(A,inverse(multiply(B,A))),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4322]),4360]),
[iquote('back_demod(4322),demod([4360])')] ).
cnf(4392,plain,
equal(inverse(multiply(inverse(A),multiply(multiply(A,B),inverse(multiply(C,B))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1747]),4153,4127,4235,4235]),
[iquote('back_demod(1747),demod([4153,4127,4235,4235])')] ).
cnf(4403,plain,
equal(inverse(multiply(A,B)),multiply(inverse(B),inverse(A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4361,4300]),1]),
[iquote('para(4361,4300),flip(1)')] ).
cnf(4405,plain,
equal(multiply(multiply(multiply(A,B),multiply(inverse(B),inverse(C))),C),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4392]),4403,4403,4403,4403,4127,4127,4403,4127]),
[iquote('back_demod(4392),demod([4403,4403,4403,4403,4127,4127,4403,4127])')] ).
cnf(4425,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4300,4361]),4127]),
[iquote('para(4300,4361),demod([4127])')] ).
cnf(4467,plain,
equal(multiply(multiply(A,multiply(B,inverse(C))),C),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4425,4405]),4127]),
[iquote('para(4425,4405),demod([4127])')] ).
cnf(4473,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(para,[status(thm),theory(equality)],[4425,4467]),
[iquote('para(4425,4467)')] ).
cnf(4474,plain,
$false,
inference(conflict,[status(thm)],[4473,2]),
[iquote('conflict(4473,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP444-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 03:34:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.54/1.92 ----- EQP 0.9e, May 2009 -----
% 1.54/1.92 The job began on n015.cluster.edu, Tue Jun 14 03:34:24 2022
% 1.54/1.92 The command was "./eqp09e".
% 1.54/1.92
% 1.54/1.92 set(prolog_style_variables).
% 1.54/1.92 set(lrpo).
% 1.54/1.92 set(basic_paramod).
% 1.54/1.92 set(functional_subsume).
% 1.54/1.92 set(ordered_paramod).
% 1.54/1.92 set(prime_paramod).
% 1.54/1.92 set(para_pairs).
% 1.54/1.92 assign(pick_given_ratio,4).
% 1.54/1.92 clear(print_kept).
% 1.54/1.92 clear(print_new_demod).
% 1.54/1.92 clear(print_back_demod).
% 1.54/1.92 clear(print_given).
% 1.54/1.92 assign(max_mem,64000).
% 1.54/1.92 end_of_commands.
% 1.54/1.92
% 1.54/1.92 Usable:
% 1.54/1.92 end_of_list.
% 1.54/1.92
% 1.54/1.92 Sos:
% 1.54/1.92 0 (wt=-1) [] inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D.
% 1.54/1.92 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.54/1.92 end_of_list.
% 1.54/1.92
% 1.54/1.92 Demodulators:
% 1.54/1.92 end_of_list.
% 1.54/1.92
% 1.54/1.92 Passive:
% 1.54/1.92 end_of_list.
% 1.54/1.92
% 1.54/1.92 Starting to process input.
% 1.54/1.92
% 1.54/1.92 ** KEPT: 1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D.
% 1.54/1.92 1 is a new demodulator.
% 1.54/1.92
% 1.54/1.92 ** KEPT: 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.54/1.92 ---------------- PROOF FOUND ----------------
% 1.54/1.92 % SZS status Unsatisfiable
% 1.54/1.92
% 1.54/1.92
% 1.54/1.92 After processing input:
% 1.54/1.92
% 1.54/1.92 Usable:
% 1.54/1.92 end_of_list.
% 1.54/1.92
% 1.54/1.92 Sos:
% 1.54/1.92 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.54/1.92 1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D.
% 1.54/1.92 end_of_list.
% 1.54/1.92
% 1.54/1.92 Demodulators:
% 1.54/1.92 1 (wt=18) [] inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D.
% 1.54/1.92 end_of_list.
% 1.54/1.92
% 1.54/1.92 Passive:
% 1.54/1.92 end_of_list.
% 1.54/1.92
% 1.54/1.92 UNIT CONFLICT from 4473 and 2 at 0.68 seconds.
% 1.54/1.92
% 1.54/1.92 ---------------- PROOF ----------------
% 1.54/1.92 % SZS output start Refutation
% See solution above
% 1.54/1.92 ------------ end of proof -------------
% 1.54/1.92
% 1.54/1.92
% 1.54/1.92 ------------- memory usage ------------
% 1.54/1.92 Memory dynamically allocated (tp_alloc): 16601.
% 1.54/1.92 type (bytes each) gets frees in use avail bytes
% 1.54/1.92 sym_ent ( 96) 57 0 57 0 5.3 K
% 1.54/1.92 term ( 16) 677272 479935 197337 71 3838.1 K
% 1.54/1.92 gen_ptr ( 8) 1637231 342978 1294253 142 10112.5 K
% 1.54/1.92 context ( 808) 416975 416973 2 6 6.3 K
% 1.54/1.92 trail ( 12) 196044 196044 0 27 0.3 K
% 1.54/1.92 bt_node ( 68) 69657 69653 4 69 4.8 K
% 1.54/1.92 ac_position (285432) 0 0 0 0 0.0 K
% 1.54/1.92 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.54/1.92 ac_match_free_vars_pos (4020)
% 1.54/1.92 0 0 0 0 0.0 K
% 1.54/1.92 discrim ( 12) 128647 127989 658 115126 1356.8 K
% 1.54/1.92 flat ( 40) 2081013 2081013 0 119 4.6 K
% 1.54/1.92 discrim_pos ( 12) 33549 33549 0 1 0.0 K
% 1.54/1.92 fpa_head ( 12) 9779 0 9779 0 114.6 K
% 1.54/1.92 fpa_tree ( 28) 14876 14876 0 21 0.6 K
% 1.54/1.92 fpa_pos ( 36) 6178 6178 0 1 0.0 K
% 1.54/1.92 literal ( 12) 21317 16844 4473 1 52.4 K
% 1.54/1.92 clause ( 24) 21317 16844 4473 1 104.9 K
% 1.54/1.92 list ( 12) 1764 1708 56 20 0.9 K
% 1.54/1.92 list_pos ( 20) 29818 25179 4639 16344 409.8 K
% 1.54/1.92 pair_index ( 40) 2 0 2 0 0.1 K
% 1.54/1.92
% 1.54/1.92 -------------- statistics -------------
% 1.54/1.92 Clauses input 2
% 1.54/1.92 Usable input 0
% 1.54/1.92 Sos input 2
% 1.54/1.92 Demodulators input 0
% 1.54/1.92 Passive input 0
% 1.54/1.92
% 1.54/1.92 Processed BS (before search) 2
% 1.54/1.92 Forward subsumed BS 0
% 1.54/1.92 Kept BS 2
% 1.54/1.92 New demodulators BS 1
% 1.54/1.92 Back demodulated BS 0
% 1.54/1.92
% 1.54/1.92 Clauses or pairs given 6464
% 1.54/1.92 Clauses generated 11577
% 1.54/1.92 Forward subsumed 7106
% 1.54/1.92 Deleted by weight 0
% 1.54/1.92 Deleted by variable count 0
% 1.54/1.92 Kept 4471
% 1.54/1.92 New demodulators 1704
% 1.54/1.92 Back demodulated 4408
% 1.54/1.92 Ordered paramod prunes 0
% 1.54/1.92 Basic paramod prunes 80080
% 1.54/1.92 Prime paramod prunes 48
% 1.54/1.92 Semantic prunes 0
% 1.54/1.92
% 1.54/1.92 Rewrite attmepts 293764
% 1.54/1.92 Rewrites 29542
% 1.54/1.92
% 1.54/1.92 FPA overloads 0
% 1.54/1.92 FPA underloads 0
% 1.54/1.92
% 1.54/1.92 Usable size 0
% 1.54/1.92 Sos size 64
% 1.54/1.92 Demodulators size 39
% 1.54/1.92 Passive size 0
% 1.54/1.92 Disabled size 4408
% 1.54/1.92
% 1.54/1.92 Proofs found 1
% 1.54/1.92
% 1.54/1.92 ----------- times (seconds) ----------- Tue Jun 14 03:34:25 2022
% 1.54/1.92
% 1.54/1.92 user CPU time 0.68 (0 hr, 0 min, 0 sec)
% 1.54/1.92 system CPU time 0.18 (0 hr, 0 min, 0 sec)
% 1.54/1.93 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.54/1.93 input time 0.00
% 1.54/1.93 paramodulation time 0.06
% 1.54/1.93 demodulation time 0.06
% 1.54/1.93 orient time 0.03
% 1.54/1.93 weigh time 0.01
% 1.54/1.93 forward subsume time 0.02
% 1.54/1.93 back demod find time 0.07
% 1.54/1.93 conflict time 0.00
% 1.54/1.93 LRPO time 0.02
% 1.54/1.93 store clause time 0.25
% 1.54/1.93 disable clause time 0.11
% 1.54/1.93 prime paramod time 0.01
% 1.54/1.93 semantics time 0.00
% 1.54/1.93
% 1.54/1.93 EQP interrupted
%------------------------------------------------------------------------------