TSTP Solution File: GRP002-3 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n025.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 08:44:09 EDT 2022
% Result : Unsatisfiable 0.88s 1.36s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of clauses : 67 ( 67 unt; 0 nHn; 3 RR)
% Number of literals : 67 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 133 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP002-3.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(inverse(A),A),identity),
file('GRP002-3.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
file('GRP002-3.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(A,multiply(B,multiply(inverse(A),inverse(B)))),commutator(A,B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(multiply(A,multiply(A,A)),identity),
file('GRP002-3.p',unknown),
[] ).
cnf(6,plain,
~ equal(commutator(commutator(a,b),b),identity),
file('GRP002-3.p',unknown),
[] ).
cnf(7,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,3]),1]),1]),
[iquote('para(2,3),demod([1]),flip(1)')] ).
cnf(11,plain,
equal(multiply(commutator(A,B),C),multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,3]),3,3]),
[iquote('para(4,3),demod([3,3])')] ).
cnf(12,plain,
equal(multiply(A,multiply(B,multiply(inverse(A),multiply(inverse(B),C)))),multiply(commutator(A,B),C)),
inference(flip,[status(thm),theory(equality)],[11]),
[iquote('flip(11)')] ).
cnf(13,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(inverse(multiply(A,B)),inverse(C))))),commutator(multiply(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,3]),1]),
[iquote('para(4,3),flip(1)')] ).
cnf(14,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(inverse(A),inverse(multiply(B,C)))))),commutator(A,multiply(B,C))),
inference(para,[status(thm),theory(equality)],[3,4]),
[iquote('para(3,4)')] ).
cnf(15,plain,
equal(multiply(inverse(inverse(A)),identity),A),
inference(para,[status(thm),theory(equality)],[2,7]),
[iquote('para(2,7)')] ).
cnf(16,plain,
equal(multiply(A,multiply(A,multiply(A,B))),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,3]),1,3]),1]),
[iquote('para(5,3),demod([1,3]),flip(1)')] ).
cnf(17,plain,
equal(multiply(A,multiply(B,multiply(A,multiply(B,multiply(A,B))))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5]),3]),
[iquote('para(3,5),demod([3])')] ).
cnf(18,plain,
equal(multiply(inverse(A),identity),multiply(A,A)),
inference(para,[status(thm),theory(equality)],[5,7]),
[iquote('para(5,7)')] ).
cnf(19,plain,
equal(multiply(inverse(A),inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15]),18]),
[iquote('back_demod(15),demod([18])')] ).
cnf(21,plain,
equal(multiply(inverse(inverse(A)),A),inverse(A)),
inference(para,[status(thm),theory(equality)],[19,7]),
[iquote('para(19,7)')] ).
cnf(23,plain,
equal(multiply(inverse(A),commutator(A,B)),multiply(B,multiply(inverse(A),inverse(B)))),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(24,plain,
equal(multiply(A,multiply(inverse(B),inverse(A))),multiply(inverse(B),commutator(B,A))),
inference(flip,[status(thm),theory(equality)],[23]),
[iquote('flip(23)')] ).
cnf(25,plain,
equal(multiply(inverse(inverse(A)),B),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[7,7]),
[iquote('para(7,7)')] ).
cnf(26,plain,
equal(inverse(A),multiply(A,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),25]),1]),
[iquote('back_demod(21),demod([25]),flip(1)')] ).
cnf(27,plain,
equal(multiply(A,multiply(B,multiply(B,multiply(A,A)))),multiply(B,multiply(B,commutator(B,A)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[24]),26,26,3,26,3]),
[iquote('back_demod(24),demod([26,26,3,26,3])')] ).
cnf(28,plain,
equal(multiply(A,multiply(A,commutator(A,B))),multiply(B,multiply(A,multiply(A,multiply(B,B))))),
inference(flip,[status(thm),theory(equality)],[27]),
[iquote('flip(27)')] ).
cnf(31,plain,
equal(multiply(A,identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[19]),26,26,3,5]),
[iquote('back_demod(19),demod([26,26,3,5])')] ).
cnf(33,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(A,multiply(A,multiply(B,multiply(C,multiply(B,C)))))))),commutator(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[14]),26,26,3,3]),
[iquote('back_demod(14),demod([26,26,3,3])')] ).
cnf(34,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(A,multiply(B,multiply(A,multiply(B,multiply(C,C)))))))),commutator(multiply(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),26,3,26,3,3,3]),
[iquote('back_demod(13),demod([26,3,26,3,3,3])')] ).
cnf(35,plain,
equal(multiply(commutator(A,B),C),multiply(A,multiply(B,multiply(A,multiply(A,multiply(B,multiply(B,C))))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),26,26,3,3]),1]),
[iquote('back_demod(12),demod([26,26,3,3]),flip(1)')] ).
cnf(37,plain,
equal(multiply(A,multiply(B,multiply(A,multiply(A,multiply(B,B))))),commutator(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),26,26,3]),
[iquote('back_demod(4),demod([26,26,3])')] ).
cnf(38,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(A,multiply(B,multiply(C,multiply(A,multiply(B,C)))))))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,17]),3,3]),
[iquote('para(3,17),demod([3,3])')] ).
cnf(40,plain,
equal(multiply(A,multiply(B,multiply(A,multiply(B,A)))),multiply(B,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[17,16]),31]),1]),
[iquote('para(17,16),demod([31]),flip(1)')] ).
cnf(45,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(B,multiply(C,multiply(A,A)))))),multiply(B,multiply(C,multiply(B,multiply(C,commutator(multiply(B,C),A)))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,27]),3,3,3]),
[iquote('para(3,27),demod([3,3,3])')] ).
cnf(53,plain,
equal(multiply(A,multiply(A,multiply(B,B))),multiply(B,multiply(A,multiply(B,A)))),
inference(para,[status(thm),theory(equality)],[40,16]),
[iquote('para(40,16)')] ).
cnf(54,plain,
equal(multiply(A,multiply(B,multiply(A,B))),multiply(B,multiply(B,multiply(A,A)))),
inference(flip,[status(thm),theory(equality)],[53]),
[iquote('flip(53)')] ).
cnf(58,plain,
equal(multiply(A,multiply(B,multiply(B,multiply(A,multiply(A,B))))),commutator(A,multiply(B,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,33]),31]),
[iquote('para(5,33),demod([31])')] ).
cnf(60,plain,
equal(multiply(A,multiply(B,multiply(B,multiply(A,multiply(B,A))))),commutator(A,multiply(B,A))),
inference(para,[status(thm),theory(equality)],[16,33]),
[iquote('para(16,33)')] ).
cnf(64,plain,
equal(multiply(A,multiply(A,multiply(B,multiply(B,multiply(A,A))))),multiply(B,multiply(A,B))),
inference(para,[status(thm),theory(equality)],[54,16]),
[iquote('para(54,16)')] ).
cnf(65,plain,
equal(multiply(A,multiply(B,A)),multiply(B,multiply(B,multiply(A,multiply(A,multiply(B,B)))))),
inference(flip,[status(thm),theory(equality)],[64]),
[iquote('flip(64)')] ).
cnf(68,plain,
equal(commutator(A,multiply(B,A)),commutator(multiply(A,B),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,34]),31,60]),
[iquote('para(5,34),demod([31,60])')] ).
cnf(69,plain,
equal(commutator(multiply(A,B),B),commutator(A,multiply(B,A))),
inference(flip,[status(thm),theory(equality)],[68]),
[iquote('flip(68)')] ).
cnf(72,plain,
equal(multiply(A,multiply(A,multiply(B,multiply(A,multiply(B,B))))),commutator(multiply(A,A),B)),
inference(para,[status(thm),theory(equality)],[16,34]),
[iquote('para(16,34)')] ).
cnf(74,plain,
equal(commutator(A,multiply(B,multiply(C,A))),commutator(multiply(A,multiply(B,C)),multiply(B,C))),
inference(para,[status(thm),theory(equality)],[3,68]),
[iquote('para(3,68)')] ).
cnf(75,plain,
equal(commutator(multiply(A,multiply(B,C)),multiply(B,C)),commutator(A,multiply(B,multiply(C,A)))),
inference(flip,[status(thm),theory(equality)],[74]),
[iquote('flip(74)')] ).
cnf(98,plain,
equal(multiply(A,multiply(B,multiply(B,multiply(A,multiply(B,multiply(B,A)))))),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,16]),31]),1]),
[iquote('para(38,16),demod([31]),flip(1)')] ).
cnf(102,plain,
equal(commutator(A,multiply(B,A)),commutator(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[40,33]),37]),1]),
[iquote('para(40,33),demod([37]),flip(1)')] ).
cnf(103,plain,
equal(commutator(multiply(A,B),B),commutator(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[69]),102]),
[iquote('back_demod(69),demod([102])')] ).
cnf(104,plain,
equal(commutator(A,multiply(B,multiply(C,A))),commutator(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[75]),103]),1]),
[iquote('back_demod(75),demod([103]),flip(1)')] ).
cnf(106,plain,
equal(commutator(multiply(A,multiply(A,B)),A),commutator(multiply(A,A),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[40,34]),3,72,3]),1]),
[iquote('para(40,34),demod([3,72,3]),flip(1)')] ).
cnf(129,plain,
equal(commutator(multiply(A,B),multiply(A,A)),commutator(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,104]),103]),1]),
[iquote('para(16,104),demod([103]),flip(1)')] ).
cnf(144,plain,
equal(commutator(multiply(A,A),multiply(A,B)),commutator(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,106]),1]),
[iquote('para(16,106),flip(1)')] ).
cnf(158,plain,
equal(multiply(A,multiply(B,multiply(A,multiply(B,commutator(A,B))))),multiply(B,multiply(A,multiply(B,A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,45]),31,103]),1]),
[iquote('para(5,45),demod([31,103]),flip(1)')] ).
cnf(212,plain,
equal(multiply(A,multiply(B,multiply(B,multiply(A,multiply(B,multiply(B,multiply(A,C))))))),multiply(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[98,3]),3,3,3,3,3]),1]),
[iquote('para(98,3),demod([3,3,3,3,3]),flip(1)')] ).
cnf(221,plain,
equal(commutator(A,multiply(A,multiply(B,multiply(A,B)))),commutator(multiply(A,A),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,58]),3,3,72,3]),1]),
[iquote('para(16,58),demod([3,3,72,3]),flip(1)')] ).
cnf(222,plain,
equal(commutator(A,multiply(B,B)),commutator(multiply(A,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,221]),3,3,16,144]),
[iquote('para(16,221),demod([3,3,16,144])')] ).
cnf(223,plain,
equal(commutator(multiply(A,B),A),commutator(A,multiply(B,B))),
inference(flip,[status(thm),theory(equality)],[222]),
[iquote('flip(222)')] ).
cnf(254,plain,
equal(commutator(multiply(A,A),B),commutator(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[40,223]),3,3,3,40,5,31,102]),
[iquote('para(40,223),demod([3,3,3,40,5,31,102])')] ).
cnf(255,plain,
equal(commutator(A,B),commutator(multiply(B,B),A)),
inference(flip,[status(thm),theory(equality)],[254]),
[iquote('flip(254)')] ).
cnf(260,plain,
~ equal(commutator(commutator(multiply(b,b),a),b),identity),
inference(para,[status(thm),theory(equality)],[255,6]),
[iquote('para(255,6)')] ).
cnf(301,plain,
equal(commutator(A,multiply(A,B)),commutator(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[255,129]),3,5,31]),
[iquote('para(255,129),demod([3,5,31])')] ).
cnf(382,plain,
equal(multiply(A,multiply(B,multiply(B,multiply(A,multiply(A,multiply(B,commutator(B,A))))))),commutator(A,multiply(B,multiply(B,multiply(A,multiply(A,multiply(B,multiply(B,multiply(A,A))))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[27,58]),3,3,3,16,16,3,3,3,3,3,3]),
[iquote('para(27,58),demod([3,3,3,16,16,3,3,3,3,3,3])')] ).
cnf(383,plain,
equal(commutator(A,multiply(B,multiply(B,multiply(A,multiply(A,multiply(B,multiply(B,multiply(A,A)))))))),multiply(A,multiply(B,multiply(B,multiply(A,multiply(A,multiply(B,commutator(B,A)))))))),
inference(flip,[status(thm),theory(equality)],[382]),
[iquote('flip(382)')] ).
cnf(386,plain,
equal(commutator(A,multiply(B,multiply(A,multiply(A,multiply(B,multiply(B,multiply(A,commutator(A,B)))))))),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,58]),37,3,35,3,35,212,158,40,5,31,5,3,35,301,301]),1]),
[iquote('para(28,58),demod([37,3,35,3,35,212,158,40,5,31,5,3,35,301,301]),flip(1)')] ).
cnf(500,plain,
equal(multiply(A,multiply(A,multiply(B,multiply(B,multiply(A,multiply(A,multiply(B,B))))))),multiply(B,A)),
inference(para,[status(thm),theory(equality)],[65,16]),
[iquote('para(65,16)')] ).
cnf(501,plain,
equal(multiply(A,multiply(B,multiply(B,multiply(A,multiply(A,multiply(B,commutator(B,A))))))),commutator(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[383]),500,301]),1]),
[iquote('back_demod(383),demod([500,301]),flip(1)')] ).
cnf(502,plain,
equal(commutator(A,commutator(B,A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[386]),501]),
[iquote('back_demod(386),demod([501])')] ).
cnf(509,plain,
equal(commutator(A,commutator(A,B)),identity),
inference(para,[status(thm),theory(equality)],[254,502]),
[iquote('para(254,502)')] ).
cnf(523,plain,
equal(commutator(commutator(multiply(A,A),B),A),identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[509,254]),1]),
[iquote('para(509,254),flip(1)')] ).
cnf(524,plain,
$false,
inference(conflict,[status(thm)],[523,260]),
[iquote('conflict(523,260)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : tptp2X_and_run_eqp %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 01:01:24 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.88/1.36 ----- EQP 0.9e, May 2009 -----
% 0.88/1.36 The job began on n025.cluster.edu, Tue Jun 14 01:01:25 2022
% 0.88/1.36 The command was "./eqp09e".
% 0.88/1.36
% 0.88/1.36 set(prolog_style_variables).
% 0.88/1.36 set(lrpo).
% 0.88/1.36 set(basic_paramod).
% 0.88/1.36 set(functional_subsume).
% 0.88/1.36 set(ordered_paramod).
% 0.88/1.36 set(prime_paramod).
% 0.88/1.36 set(para_pairs).
% 0.88/1.36 assign(pick_given_ratio,4).
% 0.88/1.36 clear(print_kept).
% 0.88/1.36 clear(print_new_demod).
% 0.88/1.36 clear(print_back_demod).
% 0.88/1.36 clear(print_given).
% 0.88/1.36 assign(max_mem,64000).
% 0.88/1.36 end_of_commands.
% 0.88/1.36
% 0.88/1.36 Usable:
% 0.88/1.36 end_of_list.
% 0.88/1.36
% 0.88/1.36 Sos:
% 0.88/1.36 0 (wt=-1) [] multiply(identity,A) = A.
% 0.88/1.36 0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.88/1.36 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.88/1.36 0 (wt=-1) [] commutator(A,B) = multiply(A,multiply(B,multiply(inverse(A),inverse(B)))).
% 0.88/1.36 0 (wt=-1) [] multiply(A,multiply(A,A)) = identity.
% 0.88/1.36 0 (wt=-1) [] -(commutator(commutator(a,b),b) = identity).
% 0.88/1.36 end_of_list.
% 0.88/1.36
% 0.88/1.36 Demodulators:
% 0.88/1.36 end_of_list.
% 0.88/1.36
% 0.88/1.36 Passive:
% 0.88/1.36 end_of_list.
% 0.88/1.36
% 0.88/1.36 Starting to process input.
% 0.88/1.36
% 0.88/1.36 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.88/1.36 1 is a new demodulator.
% 0.88/1.36
% 0.88/1.36 ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.88/1.36 2 is a new demodulator.
% 0.88/1.36
% 0.88/1.36 ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.88/1.36 3 is a new demodulator.
% 0.88/1.36
% 0.88/1.36 ** KEPT: 4 (wt=13) [flip(1)] multiply(A,multiply(B,multiply(inverse(A),inverse(B)))) = commutator(A,B).
% 0.88/1.36 4 is a new demodulator.
% 0.88/1.36
% 0.88/1.36 ** KEPT: 5 (wt=7) [] multiply(A,multiply(A,A)) = identity.
% 0.88/1.36 5 is a new demodulator.
% 0.88/1.36
% 0.88/1.36 ** KEPT: 6 (wt=7) [] -(commutator(commutator(a,b),b) = identity).
% 0.88/1.36 ---------------- PROOF FOUND ----------------
% 0.88/1.36 % SZS status Unsatisfiable
% 0.88/1.36
% 0.88/1.36
% 0.88/1.36 After processing input:
% 0.88/1.36
% 0.88/1.36 Usable:
% 0.88/1.36 end_of_list.
% 0.88/1.36
% 0.88/1.36 Sos:
% 0.88/1.36 1 (wt=5) [] multiply(identity,A) = A.
% 0.88/1.36 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.88/1.36 5 (wt=7) [] multiply(A,multiply(A,A)) = identity.
% 0.88/1.36 6 (wt=7) [] -(commutator(commutator(a,b),b) = identity).
% 0.88/1.36 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.88/1.36 4 (wt=13) [flip(1)] multiply(A,multiply(B,multiply(inverse(A),inverse(B)))) = commutator(A,B).
% 0.88/1.36 end_of_list.
% 0.88/1.36
% 0.88/1.36 Demodulators:
% 0.88/1.36 1 (wt=5) [] multiply(identity,A) = A.
% 0.88/1.36 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.88/1.36 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.88/1.36 4 (wt=13) [flip(1)] multiply(A,multiply(B,multiply(inverse(A),inverse(B)))) = commutator(A,B).
% 0.88/1.36 5 (wt=7) [] multiply(A,multiply(A,A)) = identity.
% 0.88/1.36 end_of_list.
% 0.88/1.36
% 0.88/1.36 Passive:
% 0.88/1.36 end_of_list.
% 0.88/1.36
% 0.88/1.36 UNIT CONFLICT from 523 and 260 at 0.09 seconds.
% 0.88/1.36
% 0.88/1.36 ---------------- PROOF ----------------
% 0.88/1.36 % SZS output start Refutation
% See solution above
% 0.88/1.36 ------------ end of proof -------------
% 0.88/1.36
% 0.88/1.36
% 0.88/1.36 ------------- memory usage ------------
% 0.88/1.36 Memory dynamically allocated (tp_alloc): 1464.
% 0.88/1.36 type (bytes each) gets frees in use avail bytes
% 0.88/1.36 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.88/1.36 term ( 16) 141912 125211 16701 126 326.6 K
% 0.88/1.36 gen_ptr ( 8) 114040 13464 100576 66 786.3 K
% 0.88/1.36 context ( 808) 58385 58383 2 11 10.3 K
% 0.88/1.36 trail ( 12) 412654 412654 0 6 0.1 K
% 0.88/1.36 bt_node ( 68) 28877 28874 3 20 1.5 K
% 0.88/1.36 ac_position (285432) 0 0 0 0 0.0 K
% 0.88/1.36 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.88/1.36 ac_match_free_vars_pos (4020)
% 0.88/1.36 0 0 0 0 0.0 K
% 0.88/1.36 discrim ( 12) 13358 1036 12322 0 144.4 K
% 0.88/1.36 flat ( 40) 270945 270945 0 113 4.4 K
% 0.88/1.36 discrim_pos ( 12) 8406 8406 0 1 0.0 K
% 0.88/1.36 fpa_head ( 12) 1218 0 1218 0 14.3 K
% 0.88/1.36 fpa_tree ( 28) 601 601 0 25 0.7 K
% 0.88/1.36 fpa_pos ( 36) 814 814 0 1 0.0 K
% 0.88/1.36 literal ( 12) 2608 2085 523 1 6.1 K
% 0.88/1.36 clause ( 24) 2608 2085 523 1 12.3 K
% 0.88/1.36 list ( 12) 350 294 56 4 0.7 K
% 0.88/1.36 list_pos ( 20) 2045 411 1634 0 31.9 K
% 0.88/1.36 pair_index ( 40) 2 0 2 0 0.1 K
% 0.88/1.36
% 0.88/1.36 -------------- statistics -------------
% 0.88/1.36 Clauses input 6
% 0.88/1.36 Usable input 0
% 0.88/1.36 Sos input 6
% 0.88/1.36 Demodulators input 0
% 0.88/1.36 Passive input 0
% 0.88/1.36
% 0.88/1.36 Processed BS (before search) 6
% 0.88/1.36 Forward subsumed BS 0
% 0.88/1.36 Kept BS 6
% 0.88/1.36 New demodulators BS 5
% 0.88/1.36 Back demodulated BS 0
% 0.88/1.36
% 0.88/1.36 Clauses or pairs given 2332
% 0.88/1.36 Clauses generated 1770
% 0.88/1.36 Forward subsumed 1253
% 0.88/1.36 Deleted by weight 0
% 0.88/1.36 Deleted by variable count 0
% 0.88/1.36 Kept 517
% 0.88/1.36 New demodulators 286
% 0.88/1.36 Back demodulated 86
% 0.88/1.36 Ordered paramod prunes 0
% 0.88/1.36 Basic paramod prunes 3633
% 0.88/1.36 Prime paramod prunes 551
% 0.88/1.36 Semantic prunes 0
% 0.88/1.36
% 0.88/1.36 Rewrite attmepts 32991
% 0.88/1.36 Rewrites 7602
% 0.88/1.36
% 0.88/1.36 FPA overloads 0
% 0.88/1.36 FPA underloads 0
% 0.88/1.36
% 0.88/1.36 Usable size 0
% 0.88/1.36 Sos size 436
% 0.88/1.36 Demodulators size 240
% 0.88/1.36 Passive size 0
% 0.88/1.36 Disabled size 86
% 0.88/1.36
% 0.88/1.36 Proofs found 1
% 0.88/1.36
% 0.88/1.36 ----------- times (seconds) ----------- Tue Jun 14 01:01:25 2022
% 0.88/1.36
% 0.88/1.36 user CPU time 0.09 (0 hr, 0 min, 0 sec)
% 0.88/1.36 system CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.88/1.36 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.88/1.36 input time 0.00
% 0.88/1.36 paramodulation time 0.02
% 0.88/1.36 demodulation time 0.01
% 0.88/1.36 orient time 0.01
% 0.88/1.36 weigh time 0.00
% 0.88/1.36 forward subsume time 0.00
% 0.88/1.36 back demod find time 0.03
% 0.88/1.36 conflict time 0.00
% 0.88/1.36 LRPO time 0.00
% 0.88/1.36 store clause time 0.01
% 0.88/1.36 disable clause time 0.00
% 0.88/1.36 prime paramod time 0.00
% 0.88/1.36 semantics time 0.00
% 0.88/1.36
% 0.88/1.36 EQP interrupted
%------------------------------------------------------------------------------