TSTP Solution File: GRP407-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP407-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 08:46:31 EDT 2022
% Result : Unsatisfiable 0.74s 1.54s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of clauses : 59 ( 59 unt; 0 nHn; 4 RR)
% Number of literals : 59 ( 0 equ; 3 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 196 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))),C),
file('GRP407-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
file('GRP407-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))))))),C),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D)),multiply(inverse(C),multiply(inverse(C),C)))),multiply(A,inverse(multiply(inverse(D),multiply(inverse(B),multiply(inverse(B),B)))))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,1]),1]),
[iquote('para(1,1),flip(1)')] ).
cnf(6,plain,
equal(multiply(A,inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),multiply(inverse(C),multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),multiply(inverse(C),multiply(inverse(C),C))))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),E)),B)),multiply(inverse(E),multiply(inverse(E),E))))),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(9,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(multiply(A,inverse(multiply(inverse(D),multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(D),multiply(inverse(D),D))))),multiply(inverse(C),multiply(inverse(C),C))),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(11,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),multiply(inverse(B),multiply(inverse(B),B)))))),C),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(16,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(D),multiply(inverse(E),multiply(inverse(E),E))))))),multiply(inverse(multiply(inverse(multiply(C,E)),B)),D)),
inference(para,[status(thm),theory(equality)],[4,11]),
[iquote('para(4,11)')] ).
cnf(17,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D),multiply(inverse(multiply(E,C)),multiply(E,multiply(A,inverse(multiply(inverse(D),multiply(inverse(B),multiply(inverse(B),B)))))))),
inference(flip,[status(thm),theory(equality)],[16]),
[iquote('flip(16)')] ).
cnf(20,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(multiply(inverse(multiply(D,E)),B)),multiply(inverse(multiply(D,E)),C))),
inference(para,[status(thm),theory(equality)],[1,16]),
[iquote('para(1,16)')] ).
cnf(21,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(A,B)),D)),multiply(inverse(multiply(E,C)),multiply(E,D))),
inference(flip,[status(thm),theory(equality)],[20]),
[iquote('flip(20)')] ).
cnf(33,plain,
equal(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),multiply(inverse(D),multiply(inverse(D),D))))),multiply(inverse(multiply(A,B)),E)),
inference(para,[status(thm),theory(equality)],[21,1]),
[iquote('para(21,1)')] ).
cnf(54,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(D),D))),multiply(inverse(D),multiply(inverse(D),D))))))))),C),
inference(para,[status(thm),theory(equality)],[17,1]),
[iquote('para(17,1)')] ).
cnf(62,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(B),multiply(inverse(B),B)))),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,1]),1]),1]),
[iquote('para(33,1),demod([1]),flip(1)')] ).
cnf(66,plain,
equal(multiply(inverse(multiply(A,B)),inverse(multiply(C,multiply(inverse(multiply(A,C)),multiply(inverse(multiply(A,C)),multiply(A,C)))))),multiply(inverse(B),multiply(inverse(B),B))),
inference(para,[status(thm),theory(equality)],[62,1]),
[iquote('para(62,1)')] ).
cnf(71,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(multiply(D,B)),multiply(D,C))),
inference(para,[status(thm),theory(equality)],[62,11]),
[iquote('para(62,11)')] ).
cnf(81,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,D)),multiply(C,multiply(inverse(B),B)))))),multiply(inverse(B),D)),
inference(para,[status(thm),theory(equality)],[71,11]),
[iquote('para(71,11)')] ).
cnf(126,plain,
equal(multiply(inverse(multiply(A,B)),inverse(multiply(C,multiply(inverse(multiply(A,C)),multiply(inverse(multiply(D,C)),multiply(D,C)))))),multiply(inverse(B),multiply(inverse(B),B))),
inference(para,[status(thm),theory(equality)],[71,66]),
[iquote('para(71,66)')] ).
cnf(155,plain,
equal(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(C),C))),multiply(inverse(C),multiply(inverse(C),C)))))),multiply(inverse(B),multiply(inverse(B),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,9]),1,4]),
[iquote('para(6,9),demod([1,4])')] ).
cnf(195,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,inverse(multiply(inverse(multiply(D,multiply(inverse(E),E))),multiply(D,multiply(inverse(E),E))))))))),C),
inference(para,[status(thm),theory(equality)],[71,54]),
[iquote('para(71,54)')] ).
cnf(218,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),multiply(inverse(B),multiply(inverse(B),B))),C),
inference(para,[status(thm),theory(equality)],[126,11]),
[iquote('para(126,11)')] ).
cnf(240,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(inverse(B),B)))))),C),multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(inverse(B),B))))),C)),
inference(para,[status(thm),theory(equality)],[195,11]),
[iquote('para(195,11)')] ).
cnf(334,plain,
equal(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(multiply(inverse(multiply(C,multiply(inverse(D),D))),multiply(C,multiply(inverse(D),D)))))),multiply(inverse(B),multiply(inverse(B),B))),
inference(para,[status(thm),theory(equality)],[71,155]),
[iquote('para(71,155)')] ).
cnf(342,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,multiply(inverse(D),D))),multiply(C,multiply(inverse(D),D)))))),multiply(inverse(B),multiply(inverse(B),B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[334,71]),1]),
[iquote('para(334,71),flip(1)')] ).
cnf(346,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),multiply(inverse(B),multiply(inverse(B),B))))),multiply(A,inverse(multiply(inverse(multiply(C,multiply(inverse(D),D))),multiply(C,multiply(inverse(D),D)))))),
inference(para,[status(thm),theory(equality)],[342,1]),
[iquote('para(342,1)')] ).
cnf(636,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(inverse(C),C))),multiply(B,multiply(inverse(C),C))))),multiply(A,inverse(multiply(inverse(multiply(D,multiply(inverse(E),E))),multiply(D,multiply(inverse(E),E)))))),
inference(para,[status(thm),theory(equality)],[71,346]),
[iquote('para(71,346)')] ).
cnf(816,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(inverse(D),D))),multiply(C,multiply(inverse(D),D))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[636,1]),1]),
[iquote('para(636,1),demod([1])')] ).
cnf(832,plain,
equal(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,multiply(inverse(C),C))),multiply(B,multiply(inverse(C),C))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,816]),11]),
[iquote('para(11,816),demod([11])')] ).
cnf(840,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(inverse(C),C))),multiply(B,multiply(inverse(C),C)))),multiply(inverse(D),multiply(inverse(D),D))))),multiply(A,D)),
inference(para,[status(thm),theory(equality)],[832,1]),
[iquote('para(832,1)')] ).
cnf(843,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,B)),multiply(inverse(C),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[832,11]),840]),
[iquote('para(832,11),demod([840])')] ).
cnf(844,plain,
equal(multiply(inverse(A),A),multiply(inverse(multiply(B,C)),multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[843]),
[iquote('flip(843)')] ).
cnf(847,plain,
~ equal(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),a2),a2),
inference(para,[status(thm),theory(equality)],[844,2]),
[iquote('para(844,2)')] ).
cnf(863,plain,
equal(multiply(inverse(A),A),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[843,843]),
[iquote('para(843,843)')] ).
cnf(916,plain,
~ equal(multiply(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),multiply(D,C))),a2),a2),
inference(para,[status(thm),theory(equality)],[71,847]),
[iquote('para(71,847)')] ).
cnf(918,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),multiply(inverse(C),C))))),multiply(A,C)),
inference(para,[status(thm),theory(equality)],[863,1]),
[iquote('para(863,1)')] ).
cnf(934,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(D),D))))),C),
inference(para,[status(thm),theory(equality)],[863,1]),
[iquote('para(863,1)')] ).
cnf(937,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),multiply(inverse(B),multiply(inverse(D),D)))))),C),
inference(para,[status(thm),theory(equality)],[863,11]),
[iquote('para(863,11)')] ).
cnf(938,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),C)))),multiply(inverse(B),multiply(inverse(B),B))),
inference(para,[status(thm),theory(equality)],[863,11]),
[iquote('para(863,11)')] ).
cnf(940,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),multiply(inverse(D),D))))),multiply(A,C)),
inference(para,[status(thm),theory(equality)],[863,918]),
[iquote('para(863,918)')] ).
cnf(942,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),C)),multiply(inverse(D),D)))),C),
inference(para,[status(thm),theory(equality)],[863,934]),
[iquote('para(863,934)')] ).
cnf(943,plain,
equal(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(multiply(inverse(C),multiply(inverse(D),D))))),C),
inference(para,[status(thm),theory(equality)],[863,937]),
[iquote('para(863,937)')] ).
cnf(950,plain,
equal(multiply(A,inverse(multiply(inverse(B),B))),multiply(A,multiply(inverse(C),C))),
inference(para,[status(thm),theory(equality)],[863,940]),
[iquote('para(863,940)')] ).
cnf(979,plain,
equal(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),C)),multiply(inverse(D),D)))),C),
inference(para,[status(thm),theory(equality)],[863,942]),
[iquote('para(863,942)')] ).
cnf(980,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),multiply(inverse(B),B)))),multiply(inverse(C),C))),multiply(inverse(D),D)),A),
inference(para,[status(thm),theory(equality)],[863,943]),
[iquote('para(863,943)')] ).
cnf(1010,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))),multiply(inverse(B),multiply(inverse(B),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[950,71]),938]),
[iquote('para(950,71),demod([938])')] ).
cnf(1107,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))),multiply(inverse(A),A))),B),multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[240]),1010,1010,940,1010]),
[iquote('back_demod(240),demod([1010,1010,940,1010])')] ).
cnf(1112,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,multiply(inverse(D),D)))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[195]),1010,940]),
[iquote('back_demod(195),demod([1010,940])')] ).
cnf(1122,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[81]),1010]),
[iquote('back_demod(81),demod([1010])')] ).
cnf(1128,plain,
equal(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),multiply(inverse(B),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[863,1112]),1010]),
[iquote('para(863,1112),demod([1010])')] ).
cnf(1131,plain,
equal(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),multiply(inverse(C),C)))),B),
inference(para,[status(thm),theory(equality)],[863,1128]),
[iquote('para(863,1128)')] ).
cnf(1132,plain,
equal(multiply(inverse(multiply(inverse(A),A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[979]),1131]),
[iquote('back_demod(979),demod([1131])')] ).
cnf(1133,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(B),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1131]),1132]),
[iquote('back_demod(1131),demod([1132])')] ).
cnf(1137,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1122]),1133]),
[iquote('back_demod(1122),demod([1133])')] ).
cnf(1614,plain,
equal(multiply(inverse(inverse(multiply(inverse(A),A))),B),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1107]),1137,1137,1133,1132,1137,1137]),1]),
[iquote('back_demod(1107),demod([1137,1137,1133,1132,1137,1137]),flip(1)')] ).
cnf(1692,plain,
equal(multiply(inverse(inverse(A)),multiply(inverse(B),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[218]),1137,1137]),
[iquote('back_demod(218),demod([1137,1137])')] ).
cnf(1693,plain,
equal(multiply(A,multiply(inverse(B),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[980]),1133,1133]),
[iquote('back_demod(980),demod([1133,1133])')] ).
cnf(1694,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1692]),1693]),
[iquote('back_demod(1692),demod([1693])')] ).
cnf(1710,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1614]),1694]),
[iquote('back_demod(1614),demod([1694])')] ).
cnf(1711,plain,
$false,
inference(conflict,[status(thm)],[1710,916]),
[iquote('conflict(1710,916)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP407-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 17:58:21 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.74/1.54 ----- EQP 0.9e, May 2009 -----
% 0.74/1.54 The job began on n023.cluster.edu, Mon Jun 13 17:58:22 2022
% 0.74/1.54 The command was "./eqp09e".
% 0.74/1.54
% 0.74/1.54 set(prolog_style_variables).
% 0.74/1.54 set(lrpo).
% 0.74/1.54 set(basic_paramod).
% 0.74/1.54 set(functional_subsume).
% 0.74/1.54 set(ordered_paramod).
% 0.74/1.54 set(prime_paramod).
% 0.74/1.54 set(para_pairs).
% 0.74/1.54 assign(pick_given_ratio,4).
% 0.74/1.54 clear(print_kept).
% 0.74/1.54 clear(print_new_demod).
% 0.74/1.54 clear(print_back_demod).
% 0.74/1.54 clear(print_given).
% 0.74/1.54 assign(max_mem,64000).
% 0.74/1.54 end_of_commands.
% 0.74/1.54
% 0.74/1.54 Usable:
% 0.74/1.54 end_of_list.
% 0.74/1.54
% 0.74/1.54 Sos:
% 0.74/1.54 0 (wt=-1) [] multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C.
% 0.74/1.54 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.74/1.54 end_of_list.
% 0.74/1.54
% 0.74/1.54 Demodulators:
% 0.74/1.54 end_of_list.
% 0.74/1.54
% 0.74/1.54 Passive:
% 0.74/1.54 end_of_list.
% 0.74/1.54
% 0.74/1.54 Starting to process input.
% 0.74/1.54
% 0.74/1.54 ** KEPT: 1 (wt=20) [] multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C.
% 0.74/1.54 1 is a new demodulator.
% 0.74/1.54
% 0.74/1.54 ** KEPT: 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.74/1.54 ---------------- PROOF FOUND ----------------
% 0.74/1.54 % SZS status Unsatisfiable
% 0.74/1.54
% 0.74/1.54
% 0.74/1.54 After processing input:
% 0.74/1.54
% 0.74/1.54 Usable:
% 0.74/1.54 end_of_list.
% 0.74/1.54
% 0.74/1.54 Sos:
% 0.74/1.54 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.74/1.54 1 (wt=20) [] multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C.
% 0.74/1.54 end_of_list.
% 0.74/1.54
% 0.74/1.54 Demodulators:
% 0.74/1.54 1 (wt=20) [] multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C.
% 0.74/1.54 end_of_list.
% 0.74/1.54
% 0.74/1.54 Passive:
% 0.74/1.54 end_of_list.
% 0.74/1.54
% 0.74/1.54 UNIT CONFLICT from 1710 and 916 at 0.37 seconds.
% 0.74/1.54
% 0.74/1.54 ---------------- PROOF ----------------
% 0.74/1.54 % SZS output start Refutation
% See solution above
% 0.74/1.54 ------------ end of proof -------------
% 0.74/1.54
% 0.74/1.54
% 0.74/1.54 ------------- memory usage ------------
% 0.74/1.54 Memory dynamically allocated (tp_alloc): 13183.
% 0.74/1.54 type (bytes each) gets frees in use avail bytes
% 0.74/1.54 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.74/1.54 term ( 16) 422925 275930 146995 76 2865.8 K
% 0.74/1.54 gen_ptr ( 8) 1281712 188669 1093043 58 8539.9 K
% 0.74/1.54 context ( 808) 253493 253491 2 5 5.5 K
% 0.74/1.54 trail ( 12) 84213 84213 0 11 0.1 K
% 0.74/1.54 bt_node ( 68) 30966 30962 4 383 25.7 K
% 0.74/1.54 ac_position (285432) 0 0 0 0 0.0 K
% 0.74/1.54 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.74/1.54 ac_match_free_vars_pos (4020)
% 0.74/1.54 0 0 0 0 0.0 K
% 0.74/1.54 discrim ( 12) 157261 129826 27435 70366 1146.1 K
% 0.74/1.54 flat ( 40) 1620502 1620502 0 790 30.9 K
% 0.74/1.54 discrim_pos ( 12) 6110 6110 0 1 0.0 K
% 0.74/1.54 fpa_head ( 12) 5046 0 5046 0 59.1 K
% 0.74/1.54 fpa_tree ( 28) 12237 12237 0 31 0.8 K
% 0.74/1.54 fpa_pos ( 36) 2511 2511 0 1 0.0 K
% 0.74/1.54 literal ( 12) 6347 4637 1710 1 20.1 K
% 0.74/1.54 clause ( 24) 6347 4637 1710 1 40.1 K
% 0.74/1.54 list ( 12) 860 796 64 1 0.8 K
% 0.74/1.54 list_pos ( 20) 9602 5125 4477 169 90.7 K
% 0.74/1.54 pair_index ( 40) 2 0 2 0 0.1 K
% 0.74/1.54
% 0.74/1.54 -------------- statistics -------------
% 0.74/1.54 Clauses input 2
% 0.74/1.54 Usable input 0
% 0.74/1.54 Sos input 2
% 0.74/1.54 Demodulators input 0
% 0.74/1.54 Passive input 0
% 0.74/1.54
% 0.74/1.54 Processed BS (before search) 2
% 0.74/1.54 Forward subsumed BS 0
% 0.74/1.54 Kept BS 2
% 0.74/1.54 New demodulators BS 1
% 0.74/1.54 Back demodulated BS 0
% 0.74/1.54
% 0.74/1.54 Clauses or pairs given 1183
% 0.74/1.54 Clauses generated 3354
% 0.74/1.54 Forward subsumed 1646
% 0.74/1.54 Deleted by weight 0
% 0.74/1.54 Deleted by variable count 0
% 0.74/1.54 Kept 1708
% 0.74/1.54 New demodulators 800
% 0.74/1.54 Back demodulated 1129
% 0.74/1.54 Ordered paramod prunes 0
% 0.74/1.54 Basic paramod prunes 21292
% 0.74/1.54 Prime paramod prunes 51
% 0.74/1.54 Semantic prunes 0
% 0.74/1.54
% 0.74/1.54 Rewrite attmepts 209727
% 0.74/1.54 Rewrites 4973
% 0.74/1.54
% 0.74/1.54 FPA overloads 0
% 0.74/1.54 FPA underloads 0
% 0.74/1.54
% 0.74/1.54 Usable size 0
% 0.74/1.54 Sos size 580
% 0.74/1.54 Demodulators size 244
% 0.74/1.54 Passive size 0
% 0.74/1.54 Disabled size 1129
% 0.74/1.54
% 0.74/1.54 Proofs found 1
% 0.74/1.54
% 0.74/1.54 ----------- times (seconds) ----------- Mon Jun 13 17:58:22 2022
% 0.74/1.54
% 0.74/1.54 user CPU time 0.38 (0 hr, 0 min, 0 sec)
% 0.74/1.54 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.74/1.54 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.74/1.54 input time 0.00
% 0.74/1.54 paramodulation time 0.02
% 0.74/1.54 demodulation time 0.08
% 0.74/1.54 orient time 0.01
% 0.74/1.54 weigh time 0.01
% 0.74/1.54 forward subsume time 0.01
% 0.74/1.54 back demod find time 0.05
% 0.74/1.54 conflict time 0.00
% 0.74/1.54 LRPO time 0.01
% 0.74/1.54 store clause time 0.13
% 0.74/1.54 disable clause time 0.02
% 0.74/1.54 prime paramod time 0.00
% 0.74/1.54 semantics time 0.00
% 0.74/1.54
% 0.74/1.54 EQP interrupted
%------------------------------------------------------------------------------