TSTP Solution File: GRP200-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP200-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n010.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 08:45:55 EDT 2022
% Result : Unsatisfiable 3.03s 3.40s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of clauses : 69 ( 69 unt; 0 nHn; 3 RR)
% Number of literals : 69 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP200-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,identity),A),
file('GRP200-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,left_division(A,B)),B),
file('GRP200-1.p',unknown),
[] ).
cnf(4,plain,
equal(left_division(A,multiply(A,B)),B),
file('GRP200-1.p',unknown),
[] ).
cnf(5,plain,
equal(multiply(right_division(A,B),B),A),
file('GRP200-1.p',unknown),
[] ).
cnf(6,plain,
equal(right_division(multiply(A,B),B),A),
file('GRP200-1.p',unknown),
[] ).
cnf(9,plain,
equal(multiply(multiply(A,multiply(B,C)),A),multiply(multiply(A,B),multiply(C,A))),
file('GRP200-1.p',unknown),
[] ).
cnf(10,plain,
~ equal(multiply(multiply(multiply(a,b),c),b),multiply(a,multiply(b,multiply(c,b)))),
file('GRP200-1.p',unknown),
[] ).
cnf(12,plain,
equal(left_division(identity,A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,1]),1]),
[iquote('para(3,1),flip(1)')] ).
cnf(14,plain,
equal(left_division(A,A),identity),
inference(para,[status(thm),theory(equality)],[2,4]),
[iquote('para(2,4)')] ).
cnf(17,plain,
equal(right_division(A,A),identity),
inference(para,[status(thm),theory(equality)],[1,6]),
[iquote('para(1,6)')] ).
cnf(18,plain,
equal(right_division(A,left_division(B,A)),B),
inference(para,[status(thm),theory(equality)],[3,6]),
[iquote('para(3,6)')] ).
cnf(22,plain,
equal(multiply(multiply(A,B),A),multiply(A,multiply(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,9]),2]),
[iquote('para(1,9),demod([2])')] ).
cnf(23,plain,
equal(multiply(A,multiply(multiply(B,C),A)),multiply(multiply(A,B),multiply(C,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),22]),
[iquote('back_demod(9),demod([22])')] ).
cnf(24,plain,
equal(multiply(multiply(A,B),multiply(C,A)),multiply(A,multiply(multiply(B,C),A))),
inference(flip,[status(thm),theory(equality)],[23]),
[iquote('flip(23)')] ).
cnf(28,plain,
equal(right_division(multiply(A,multiply(B,A)),A),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[22,6]),
[iquote('para(22,6)')] ).
cnf(34,plain,
equal(multiply(multiply(A,B),multiply(left_division(B,C),A)),multiply(A,multiply(C,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,23]),1]),
[iquote('para(3,23),flip(1)')] ).
cnf(36,plain,
equal(left_division(A,multiply(multiply(A,B),multiply(C,A))),multiply(multiply(B,C),A)),
inference(para,[status(thm),theory(equality)],[23,4]),
[iquote('para(23,4)')] ).
cnf(37,plain,
equal(multiply(multiply(A,B),C),left_division(C,multiply(multiply(C,A),multiply(B,C)))),
inference(flip,[status(thm),theory(equality)],[36]),
[iquote('flip(36)')] ).
cnf(41,plain,
equal(right_division(multiply(A,B),A),multiply(A,right_division(B,A))),
inference(para,[status(thm),theory(equality)],[5,28]),
[iquote('para(5,28)')] ).
cnf(42,plain,
equal(multiply(A,right_division(identity,A)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,41]),17]),1]),
[iquote('para(2,41),demod([17]),flip(1)')] ).
cnf(43,plain,
equal(right_division(identity,A),left_division(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,4]),1]),
[iquote('para(42,4),flip(1)')] ).
cnf(59,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(multiply(B,right_division(C,A)),A))),
inference(para,[status(thm),theory(equality)],[5,24]),
[iquote('para(5,24)')] ).
cnf(120,plain,
equal(multiply(A,multiply(multiply(B,left_division(A,identity)),A)),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[59,2]),43]),
[iquote('para(59,2),demod([43])')] ).
cnf(121,plain,
equal(multiply(multiply(A,left_division(B,identity)),B),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[120,4]),4]),1]),
[iquote('para(120,4),demod([4]),flip(1)')] ).
cnf(136,plain,
equal(right_division(A,B),multiply(A,left_division(B,identity))),
inference(para,[status(thm),theory(equality)],[121,6]),
[iquote('para(121,6)')] ).
cnf(162,plain,
equal(multiply(multiply(A,B),left_division(A,identity)),multiply(A,multiply(B,left_division(A,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[41]),136,136]),
[iquote('back_demod(41),demod([136,136])')] ).
cnf(167,plain,
equal(multiply(A,left_division(left_division(B,A),identity)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[18]),136]),
[iquote('back_demod(18),demod([136])')] ).
cnf(168,plain,
equal(multiply(multiply(A,B),left_division(B,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),136]),
[iquote('back_demod(6),demod([136])')] ).
cnf(175,plain,
equal(left_division(left_division(A,B),identity),left_division(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[167,4]),1]),
[iquote('para(167,4),flip(1)')] ).
cnf(177,plain,
equal(left_division(multiply(A,B),A),left_division(B,identity)),
inference(para,[status(thm),theory(equality)],[168,4]),
[iquote('para(168,4)')] ).
cnf(178,plain,
equal(multiply(A,multiply(left_division(left_division(B,A),C),B)),multiply(B,multiply(C,B))),
inference(para,[status(thm),theory(equality)],[3,34]),
[iquote('para(3,34)')] ).
cnf(226,plain,
equal(multiply(multiply(left_division(A,B),C),A),left_division(A,multiply(B,multiply(C,A)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,36]),1]),
[iquote('para(3,36),flip(1)')] ).
cnf(227,plain,
equal(left_division(left_division(A,B),multiply(multiply(left_division(A,B),C),B)),multiply(multiply(C,A),left_division(A,B))),
inference(para,[status(thm),theory(equality)],[3,36]),
[iquote('para(3,36)')] ).
cnf(228,plain,
equal(multiply(multiply(A,B),left_division(B,C)),left_division(left_division(B,C),multiply(multiply(left_division(B,C),A),C))),
inference(flip,[status(thm),theory(equality)],[227]),
[iquote('flip(227)')] ).
cnf(262,plain,
equal(multiply(left_division(left_division(A,identity),B),A),multiply(A,multiply(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[178,1]),1]),
[iquote('para(178,1),flip(1)')] ).
cnf(269,plain,
equal(multiply(multiply(A,B),left_division(A,multiply(multiply(A,C),multiply(D,A)))),multiply(A,multiply(multiply(B,multiply(C,D)),A))),
inference(para,[status(thm),theory(equality)],[37,24]),
[iquote('para(37,24)')] ).
cnf(270,plain,
equal(multiply(A,multiply(multiply(B,multiply(C,D)),A)),multiply(multiply(A,B),left_division(A,multiply(multiply(A,C),multiply(D,A))))),
inference(flip,[status(thm),theory(equality)],[269]),
[iquote('flip(269)')] ).
cnf(271,plain,
equal(left_division(multiply(A,B),multiply(multiply(multiply(A,B),B),multiply(C,multiply(A,B)))),multiply(B,multiply(multiply(C,A),B))),
inference(para,[status(thm),theory(equality)],[37,24]),
[iquote('para(37,24)')] ).
cnf(272,plain,
equal(multiply(A,multiply(multiply(B,C),A)),left_division(multiply(C,A),multiply(multiply(multiply(C,A),A),multiply(B,multiply(C,A))))),
inference(flip,[status(thm),theory(equality)],[271]),
[iquote('flip(271)')] ).
cnf(359,plain,
equal(multiply(A,B),left_division(left_division(A,identity),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[262,168]),162,168]),
[iquote('para(262,168),demod([162,168])')] ).
cnf(427,plain,
equal(left_division(left_division(A,identity),left_division(left_division(B,left_division(C,identity)),A)),left_division(left_division(left_division(B,identity),A),left_division(left_division(A,left_division(A,left_division(B,identity))),left_division(left_division(C,identity),left_division(left_division(B,identity),A))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[272]),359,359,175,359,359,359,359,175,359,359,359,175]),
[iquote('back_demod(272),demod([359,359,175,359,359,359,359,175,359,359,359,175])')] ).
cnf(429,plain,
equal(left_division(left_division(A,identity),left_division(left_division(left_division(left_division(B,identity),C),left_division(D,identity)),A)),left_division(left_division(D,left_division(A,identity)),left_division(A,left_division(left_division(B,left_division(A,identity)),left_division(left_division(C,identity),A))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[270]),359,359,359,175,359,359,359,359,359,175,359,175]),
[iquote('back_demod(270),demod([359,359,359,175,359,359,359,359,359,175,359,175])')] ).
cnf(430,plain,
equal(left_division(left_division(A,left_division(B,identity)),left_division(B,left_division(left_division(C,left_division(B,identity)),left_division(left_division(D,identity),B)))),left_division(left_division(B,identity),left_division(left_division(left_division(left_division(C,identity),D),left_division(A,identity)),B))),
inference(flip,[status(thm),theory(equality)],[429]),
[iquote('flip(429)')] ).
cnf(469,plain,
equal(left_division(left_division(A,left_division(B,identity)),left_division(A,C)),left_division(left_division(A,C),left_division(left_division(B,left_division(C,A)),C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[228]),359,359,175,359,175,359,175]),
[iquote('back_demod(228),demod([359,359,175,359,175,359,175])')] ).
cnf(471,plain,
equal(left_division(left_division(A,left_division(B,C)),C),left_division(C,left_division(left_division(B,identity),left_division(left_division(A,identity),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[226]),359,175,359,175,359,359]),
[iquote('back_demod(226),demod([359,175,359,175,359,359])')] ).
cnf(517,plain,
equal(left_division(left_division(left_division(A,identity),B),A),left_division(B,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[177]),359]),
[iquote('back_demod(177),demod([359])')] ).
cnf(617,plain,
~ equal(left_division(left_division(c,left_division(b,left_division(a,identity))),b),left_division(left_division(a,identity),left_division(left_division(b,identity),left_division(left_division(c,identity),b)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),359,359,175,359,175,359,359,359]),
[iquote('back_demod(10),demod([359,359,175,359,175,359,359,359])')] ).
cnf(618,plain,
equal(left_division(A,left_division(left_division(A,identity),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),359]),
[iquote('back_demod(4),demod([359])')] ).
cnf(619,plain,
equal(left_division(left_division(A,identity),left_division(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),359]),
[iquote('back_demod(3),demod([359])')] ).
cnf(623,plain,
equal(left_division(left_division(A,B),left_division(left_division(B,A),C)),C),
inference(para,[status(thm),theory(equality)],[175,618]),
[iquote('para(175,618)')] ).
cnf(625,plain,
equal(left_division(left_division(left_division(A,B),C),left_division(B,A)),left_division(C,identity)),
inference(para,[status(thm),theory(equality)],[175,517]),
[iquote('para(175,517)')] ).
cnf(626,plain,
equal(left_division(left_division(A,B),left_division(A,identity)),left_division(B,identity)),
inference(para,[status(thm),theory(equality)],[12,625]),
[iquote('para(12,625)')] ).
cnf(2228,plain,
equal(left_division(left_division(left_division(A,B),C),left_division(B,left_division(left_division(A,identity),left_division(left_division(C,identity),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[471,619]),175]),
[iquote('para(471,619),demod([175])')] ).
cnf(2467,plain,
equal(left_division(left_division(A,B),C),left_division(B,left_division(left_division(left_division(left_division(C,identity),B),left_division(A,identity)),left_division(B,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,430]),175,12,175,12,175,619,175,12]),
[iquote('para(14,430),demod([175,12,175,12,175,619,175,12])')] ).
cnf(2468,plain,
equal(left_division(A,left_division(left_division(left_division(left_division(B,identity),A),left_division(C,identity)),left_division(A,identity))),left_division(left_division(C,A),B)),
inference(flip,[status(thm),theory(equality)],[2467]),
[iquote('flip(2467)')] ).
cnf(4880,plain,
equal(left_division(A,left_division(B,left_division(left_division(C,identity),left_division(left_division(A,left_division(B,C)),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[623,2228]),175]),
[iquote('para(623,2228),demod([175])')] ).
cnf(4894,plain,
equal(left_division(A,left_division(B,left_division(left_division(C,left_division(B,identity)),left_division(left_division(A,C),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[618,4880]),175]),
[iquote('para(618,4880),demod([175])')] ).
cnf(4936,plain,
equal(left_division(left_division(A,identity),B),left_division(B,left_division(left_division(C,left_division(B,identity)),left_division(left_division(A,C),B)))),
inference(para,[status(thm),theory(equality)],[4894,619]),
[iquote('para(4894,619)')] ).
cnf(5020,plain,
equal(left_division(left_division(A,B),left_division(left_division(C,left_division(B,A)),left_division(left_division(A,C),left_division(A,B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4936,619]),175]),
[iquote('para(4936,619),demod([175])')] ).
cnf(5066,plain,
equal(left_division(left_division(A,left_division(B,C)),left_division(left_division(C,A),left_division(C,B))),left_division(left_division(B,C),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5020,619]),175]),1]),
[iquote('para(5020,619),demod([175]),flip(1)')] ).
cnf(5076,plain,
equal(left_division(left_division(left_division(A,B),C),left_division(left_division(A,B),A)),left_division(left_division(B,C),left_division(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5066,619]),175]),
[iquote('para(5066,619),demod([175])')] ).
cnf(5092,plain,
equal(left_division(left_division(left_division(left_division(A,identity),B),C),left_division(B,identity)),left_division(left_division(B,C),left_division(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[618,5076]),618,517]),1]),
[iquote('para(618,5076),demod([618,517]),flip(1)')] ).
cnf(5360,plain,
equal(left_division(A,left_division(left_division(A,left_division(B,identity)),left_division(A,C))),left_division(left_division(B,A),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2468]),5092]),
[iquote('back_demod(2468),demod([5092])')] ).
cnf(5383,plain,
equal(left_division(A,left_division(left_division(A,left_division(B,C)),left_division(A,D))),left_division(left_division(left_division(C,B),A),D)),
inference(para,[status(thm),theory(equality)],[175,5360]),
[iquote('para(175,5360)')] ).
cnf(5385,plain,
equal(left_division(A,left_division(left_division(A,B),left_division(A,C))),left_division(left_division(left_division(B,identity),A),C)),
inference(para,[status(thm),theory(equality)],[12,5383]),
[iquote('para(12,5383)')] ).
cnf(5564,plain,
equal(left_division(left_division(left_division(A,B),left_division(B,identity)),C),left_division(left_division(B,identity),left_division(A,left_division(left_division(B,identity),C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[619,5385]),175]),1]),
[iquote('para(619,5385),demod([175]),flip(1)')] ).
cnf(6349,plain,
equal(left_division(left_division(A,left_division(B,C)),B),left_division(C,left_division(left_division(B,identity),left_division(left_division(A,identity),B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[469,427]),175,623,619,626,619,5564,618]),
[iquote('para(469,427),demod([175,623,619,626,619,5564,618])')] ).
cnf(6350,plain,
$false,
inference(conflict,[status(thm)],[6349,617]),
[iquote('conflict(6349,617)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP200-1 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n010.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 06:50:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.03/3.40 ----- EQP 0.9e, May 2009 -----
% 3.03/3.40 The job began on n010.cluster.edu, Tue Jun 14 06:50:40 2022
% 3.03/3.40 The command was "./eqp09e".
% 3.03/3.40
% 3.03/3.40 set(prolog_style_variables).
% 3.03/3.40 set(lrpo).
% 3.03/3.40 set(basic_paramod).
% 3.03/3.40 set(functional_subsume).
% 3.03/3.40 set(ordered_paramod).
% 3.03/3.40 set(prime_paramod).
% 3.03/3.40 set(para_pairs).
% 3.03/3.40 assign(pick_given_ratio,4).
% 3.03/3.40 clear(print_kept).
% 3.03/3.40 clear(print_new_demod).
% 3.03/3.40 clear(print_back_demod).
% 3.03/3.40 clear(print_given).
% 3.03/3.40 assign(max_mem,64000).
% 3.03/3.40 end_of_commands.
% 3.03/3.40
% 3.03/3.40 Usable:
% 3.03/3.40 end_of_list.
% 3.03/3.40
% 3.03/3.40 Sos:
% 3.03/3.40 0 (wt=-1) [] multiply(identity,A) = A.
% 3.03/3.40 0 (wt=-1) [] multiply(A,identity) = A.
% 3.03/3.40 0 (wt=-1) [] multiply(A,left_division(A,B)) = B.
% 3.03/3.40 0 (wt=-1) [] left_division(A,multiply(A,B)) = B.
% 3.03/3.40 0 (wt=-1) [] multiply(right_division(A,B),B) = A.
% 3.03/3.40 0 (wt=-1) [] right_division(multiply(A,B),B) = A.
% 3.03/3.40 0 (wt=-1) [] multiply(A,right_inverse(A)) = identity.
% 3.03/3.40 0 (wt=-1) [] multiply(left_inverse(A),A) = identity.
% 3.03/3.40 0 (wt=-1) [] multiply(multiply(A,multiply(B,C)),A) = multiply(multiply(A,B),multiply(C,A)).
% 3.03/3.40 0 (wt=-1) [] -(multiply(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b)))).
% 3.03/3.40 end_of_list.
% 3.03/3.40
% 3.03/3.40 Demodulators:
% 3.03/3.40 end_of_list.
% 3.03/3.40
% 3.03/3.40 Passive:
% 3.03/3.40 end_of_list.
% 3.03/3.40
% 3.03/3.40 Starting to process input.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 3.03/3.40 1 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 2 (wt=5) [] multiply(A,identity) = A.
% 3.03/3.40 2 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 3.03/3.40 3 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 3.03/3.40 4 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 3.03/3.40 5 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 3.03/3.40 6 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 3.03/3.40 7 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 3.03/3.40 8 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 9 (wt=15) [] multiply(multiply(A,multiply(B,C)),A) = multiply(multiply(A,B),multiply(C,A)).
% 3.03/3.40 9 is a new demodulator.
% 3.03/3.40
% 3.03/3.40 ** KEPT: 10 (wt=15) [] -(multiply(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b)))).
% 3.03/3.40 ---------------- PROOF FOUND ----------------
% 3.03/3.40 % SZS status Unsatisfiable
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 After processing input:
% 3.03/3.40
% 3.03/3.40 Usable:
% 3.03/3.40 end_of_list.
% 3.03/3.40
% 3.03/3.40 Sos:
% 3.03/3.40 1 (wt=5) [] multiply(identity,A) = A.
% 3.03/3.40 2 (wt=5) [] multiply(A,identity) = A.
% 3.03/3.40 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 3.03/3.40 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 3.03/3.40 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 3.03/3.40 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 3.03/3.40 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 3.03/3.40 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 3.03/3.40 9 (wt=15) [] multiply(multiply(A,multiply(B,C)),A) = multiply(multiply(A,B),multiply(C,A)).
% 3.03/3.40 10 (wt=15) [] -(multiply(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b)))).
% 3.03/3.40 end_of_list.
% 3.03/3.40
% 3.03/3.40 Demodulators:
% 3.03/3.40 1 (wt=5) [] multiply(identity,A) = A.
% 3.03/3.40 2 (wt=5) [] multiply(A,identity) = A.
% 3.03/3.40 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 3.03/3.40 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 3.03/3.40 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 3.03/3.40 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 3.03/3.40 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 3.03/3.40 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 3.03/3.40 9 (wt=15) [] multiply(multiply(A,multiply(B,C)),A) = multiply(multiply(A,B),multiply(C,A)).
% 3.03/3.40 end_of_list.
% 3.03/3.40
% 3.03/3.40 Passive:
% 3.03/3.40 end_of_list.
% 3.03/3.40
% 3.03/3.40 UNIT CONFLICT from 6349 and 617 at 2.11 seconds.
% 3.03/3.40
% 3.03/3.40 ---------------- PROOF ----------------
% 3.03/3.40 % SZS output start Refutation
% See solution above
% 3.03/3.40 ------------ end of proof -------------
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 ------------- memory usage ------------
% 3.03/3.40 Memory dynamically allocated (tp_alloc): 33203.
% 3.03/3.40 type (bytes each) gets frees in use avail bytes
% 3.03/3.40 sym_ent ( 96) 60 0 60 0 5.6 K
% 3.03/3.40 term ( 16) 1456102 1020089 436013 36 8491.8 K
% 3.03/3.40 gen_ptr ( 8) 2979499 303971 2675528 68 20903.1 K
% 3.03/3.40 context ( 808) 934678 934676 2 7 7.1 K
% 3.03/3.40 trail ( 12) 1416043 1416043 0 6 0.1 K
% 3.03/3.40 bt_node ( 68) 220432 220425 7 48 3.7 K
% 3.03/3.40 ac_position (285432) 0 0 0 0 0.0 K
% 3.03/3.40 ac_match_pos (14044) 0 0 0 0 0.0 K
% 3.03/3.40 ac_match_free_vars_pos (4020)
% 3.03/3.40 0 0 0 0 0.0 K
% 3.03/3.40 discrim ( 12) 370070 140575 229495 35 2689.8 K
% 3.03/3.40 flat ( 40) 4763958 4763958 0 251 9.8 K
% 3.03/3.40 discrim_pos ( 12) 70185 70185 0 1 0.0 K
% 3.03/3.40 fpa_head ( 12) 4896 0 4896 0 57.4 K
% 3.03/3.40 fpa_tree ( 28) 32019 32019 0 101 2.8 K
% 3.03/3.40 fpa_pos ( 36) 8935 8935 0 1 0.0 K
% 3.03/3.40 literal ( 12) 27934 21585 6349 1 74.4 K
% 3.03/3.40 clause ( 24) 27934 21585 6349 1 148.8 K
% 3.03/3.40 list ( 12) 2645 2589 56 3 0.7 K
% 3.03/3.40 list_pos ( 20) 26242 10199 16043 4 313.4 K
% 3.03/3.40 pair_index ( 40) 2 0 2 0 0.1 K
% 3.03/3.40
% 3.03/3.40 -------------- statistics -------------
% 3.03/3.40 Clauses input 10
% 3.03/3.40 Usable input 0
% 3.03/3.40 Sos input 10
% 3.03/3.40 Demodulators input 0
% 3.03/3.40 Passive input 0
% 3.03/3.40
% 3.03/3.40 Processed BS (before search) 10
% 3.03/3.40 Forward subsumed BS 0
% 3.03/3.40 Kept BS 10
% 3.03/3.40 New demodulators BS 9
% 3.03/3.40 Back demodulated BS 0
% 3.03/3.40
% 3.03/3.40 Clauses or pairs given 8595
% 3.03/3.40 Clauses generated 17741
% 3.03/3.40 Forward subsumed 11402
% 3.03/3.40 Deleted by weight 0
% 3.03/3.40 Deleted by variable count 0
% 3.03/3.40 Kept 6339
% 3.03/3.40 New demodulators 2577
% 3.03/3.40 Back demodulated 2287
% 3.03/3.40 Ordered paramod prunes 0
% 3.03/3.40 Basic paramod prunes 24702
% 3.03/3.40 Prime paramod prunes 5742
% 3.03/3.40 Semantic prunes 0
% 3.03/3.40
% 3.03/3.40 Rewrite attmepts 698053
% 3.03/3.40 Rewrites 60849
% 3.03/3.40
% 3.03/3.40 FPA overloads 0
% 3.03/3.40 FPA underloads 0
% 3.03/3.40
% 3.03/3.40 Usable size 0
% 3.03/3.40 Sos size 4061
% 3.03/3.40 Demodulators size 1573
% 3.03/3.40 Passive size 0
% 3.03/3.40 Disabled size 2287
% 3.03/3.40
% 3.03/3.40 Proofs found 1
% 3.03/3.40
% 3.03/3.40 ----------- times (seconds) ----------- Tue Jun 14 06:50:42 2022
% 3.03/3.40
% 3.03/3.40 user CPU time 2.11 (0 hr, 0 min, 2 sec)
% 3.03/3.40 system CPU time 0.24 (0 hr, 0 min, 0 sec)
% 3.03/3.40 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 3.03/3.40 input time 0.00
% 3.03/3.40 paramodulation time 0.10
% 3.03/3.40 demodulation time 0.30
% 3.03/3.40 orient time 0.06
% 3.03/3.40 weigh time 0.01
% 3.03/3.40 forward subsume time 0.05
% 3.03/3.40 back demod find time 0.92
% 3.03/3.40 conflict time 0.01
% 3.03/3.40 LRPO time 0.03
% 3.03/3.40 store clause time 0.46
% 3.03/3.40 disable clause time 0.08
% 3.03/3.40 prime paramod time 0.03
% 3.03/3.40 semantics time 0.00
% 3.03/3.40
% 3.03/3.40 EQP interrupted
%------------------------------------------------------------------------------