TSTP Solution File: SYO630-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SYO630-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 : Thu Jul 21 19:50:04 EDT 2022
% Result : Unsatisfiable 38.34s 38.56s
% Output : Refutation 38.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO630-1 : TPTP v8.1.0. Released v7.1.0.
% 0.04/0.13 % Command : sos-script %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 22:24:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.37 ----- Otter 3.2, August 2001 -----
% 0.20/0.37 The process was started by sandbox2 on n017.cluster.edu,
% 0.20/0.37 Fri Jul 8 22:24:46 2022
% 0.20/0.37 The command was "./sos". The process ID is 11808.
% 0.20/0.37
% 0.20/0.37 set(prolog_style_variables).
% 0.20/0.37 set(auto).
% 0.20/0.37 dependent: set(auto1).
% 0.20/0.37 dependent: set(process_input).
% 0.20/0.37 dependent: clear(print_kept).
% 0.20/0.37 dependent: clear(print_new_demod).
% 0.20/0.37 dependent: clear(print_back_demod).
% 0.20/0.37 dependent: clear(print_back_sub).
% 0.20/0.37 dependent: set(control_memory).
% 0.20/0.37 dependent: assign(max_mem, 12000).
% 0.20/0.37 dependent: assign(pick_given_ratio, 4).
% 0.20/0.37 dependent: assign(stats_level, 1).
% 0.20/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.37 dependent: assign(sos_limit, 5000).
% 0.20/0.37 dependent: assign(max_weight, 60).
% 0.20/0.37 clear(print_given).
% 0.20/0.37
% 0.20/0.37 list(usable).
% 0.20/0.37
% 0.20/0.37 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 0.20/0.37
% 0.20/0.37 This is a non-Horn set without equality. The strategy
% 0.20/0.37 will be ordered hyper_res, ur_res, unit deletion, and
% 0.20/0.37 factoring, with satellites in sos and nuclei in usable.
% 0.20/0.37
% 0.20/0.37 dependent: set(hyper_res).
% 0.20/0.37 dependent: set(factor).
% 0.20/0.37 dependent: set(unit_deletion).
% 0.20/0.37
% 0.20/0.37 ------------> process usable:
% 0.20/0.37 Following clause subsumed by 1 during input processing: 0 [] {-} -'E'(f(A),f(g(A))).
% 0.20/0.37 Following clause subsumed by 3 during input processing: 0 [] {-} -'LE'(f(g(A)),'0').
% 0.20/0.37 Following clause subsumed by 1 during input processing: 0 [] {-} -'E'(f(A),f(g(A))).
% 0.20/0.37 Following clause subsumed by 1 during input processing: 0 [] {-} -'E'(f(A),f(g(A))).
% 0.20/0.37 Following clause subsumed by 1 during input processing: 0 [] {-} -'E'(f(A),f(g(A))).
% 0.20/0.37 Following clause subsumed by 1 during input processing: 0 [] {-} -'E'(f(A),f(g(A))).
% 0.20/0.37
% 0.20/0.37 ------------> process sos:
% 0.20/0.37 Following clause subsumed by 21 during input processing: 0 [] {-} iLEQ(A,g(A)).
% 0.20/0.37 Following clause subsumed by 22 during input processing: 0 [] {-} iLEQ(A,A).
% 0.20/0.37 Following clause subsumed by 21 during input processing: 0 [] {-} iLEQ(A,g(A)).
% 0.20/0.37 Following clause subsumed by 21 during input processing: 0 [] {-} iLEQ(A,g(A)).
% 0.20/0.37 Following clause subsumed by 22 during input processing: 0 [] {-} iLEQ(A,A).
% 0.20/0.37 Following clause subsumed by 21 during input processing: 0 [] {-} iLEQ(A,g(A)).
% 0.20/0.37 Following clause subsumed by 22 during input processing: 0 [] {-} iLEQ(A,A).
% 0.20/0.37 Following clause subsumed by 21 during input processing: 0 [] {-} iLEQ(A,g(A)).
% 0.20/0.37 Following clause subsumed by 22 during input processing: 0 [] {-} iLEQ(A,A).
% 0.20/0.37 Following clause subsumed by 22 during input processing: 0 [] {-} iLEQ(A,A).
% 0.20/0.37
% 0.20/0.37 ======= end of input processing =======
% 0.20/0.39
% 0.20/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.39
% 0.20/0.39 Stopped by limit on number of solutions
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 -------------- Softie stats --------------
% 0.20/0.39
% 0.20/0.39 UPDATE_STOP: 300
% 0.20/0.39 SFINDER_TIME_LIMIT: 2
% 0.20/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.39 number of clauses in intial UL: 13
% 0.20/0.39 number of clauses initially in problem: 16
% 0.20/0.39 percentage of clauses intially in UL: 81
% 0.20/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.39 percent of all initial clauses that are short: 100
% 0.20/0.39 absolute distinct symbol count: 7
% 0.20/0.39 distinct predicate count: 3
% 0.20/0.39 distinct function count: 3
% 0.20/0.39 distinct constant count: 1
% 0.20/0.39
% 0.20/0.39 ---------- no more Softie stats ----------
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 =========== start of search ===========
% 14.39/14.58
% 14.39/14.58
% 14.39/14.58 Changing weight limit from 60 to 59.
% 14.39/14.58
% 14.39/14.58 Model 2 (0.00 seconds, 0 Inserts)
% 14.39/14.58
% 14.39/14.58 Stopped by limit on number of solutions
% 14.39/14.58
% 14.39/14.58 Resetting weight limit to 59 after 270 givens.
% 14.39/14.58
% 18.40/18.60
% 18.40/18.60
% 18.40/18.60 Changing weight limit from 59 to 60.
% 18.40/18.60
% 18.40/18.60 Resetting weight limit to 60 after 280 givens.
% 18.40/18.60
% 25.45/25.64
% 25.45/25.64
% 25.45/25.64 Changing weight limit from 60 to 59.
% 25.45/25.64
% 25.45/25.64 Modelling stopped after 300 given clauses and 0.00 seconds
% 25.45/25.64
% 25.45/25.64
% 25.45/25.64 Resetting weight limit to 59 after 310 givens.
% 25.45/25.64
% 34.13/34.33
% 34.13/34.33
% 34.13/34.33 Changing weight limit from 59 to 60.
% 34.13/34.33
% 34.13/34.33 Resetting weight limit to 60 after 335 givens.
% 34.13/34.33
% 38.34/38.56
% 38.34/38.56 -- HEY sandbox2, WE HAVE A PROOF!! --
% 38.34/38.56
% 38.34/38.56 -----> EMPTY CLAUSE at 38.03 sec ----> 12096 [hyper,12012,11,12012] {-} $F.
% 38.34/38.56
% 38.34/38.56 Length of proof is 158. Level of proof is 35.
% 38.34/38.56
% 38.34/38.56 ---------------- PROOF ----------------
% 38.34/38.56 % SZS status Unsatisfiable
% 38.34/38.56 % SZS output start Refutation
% 38.34/38.56
% 38.34/38.56 1 [] {+} -'E'(f(A),f(g(A))).
% 38.34/38.56 2 [] {+} -'LE'(f(A),s('0'))| -iLEQ(A,B)|'E'('0',f(B))|'LE'(f(B),'0').
% 38.34/38.56 3 [] {+} -'LE'(f(A),'0').
% 38.34/38.56 4 [] {-} -'E'(s(s(s(s(s('0'))))),f(A))| -'E'(s(s(s(s(s('0'))))),f(g(A)))|'E'(f(A),f(g(A))).
% 38.34/38.56 5 [copy,4,unit_del,1] {+} -'E'(s(s(s(s(s('0'))))),f(A))| -'E'(s(s(s(s(s('0'))))),f(g(A))).
% 38.34/38.56 6 [] {-} -'E'(s(s(s('0'))),f(A))| -'E'(s(s(s('0'))),f(g(A)))|'E'(f(A),f(g(A))).
% 38.34/38.56 7 [copy,6,unit_del,1] {+} -'E'(s(s(s('0'))),f(A))| -'E'(s(s(s('0'))),f(g(A))).
% 38.34/38.56 8 [] {-} -'E'(s(s('0')),f(A))| -'E'(s(s('0')),f(g(A)))|'E'(f(A),f(g(A))).
% 38.34/38.56 9 [copy,8,unit_del,1] {+} -'E'(s(s('0')),f(A))| -'E'(s(s('0')),f(g(A))).
% 38.34/38.56 10 [] {-} -'E'(s('0'),f(A))| -'E'(s('0'),f(g(A)))|'E'(f(A),f(g(A))).
% 38.34/38.56 11 [copy,10,unit_del,1] {+} -'E'(s('0'),f(A))| -'E'(s('0'),f(g(A))).
% 38.34/38.56 12 [] {+} -'LE'(f(A),s(s(s('0'))))| -iLEQ(A,B)|'E'(s(s('0')),f(B))|'LE'(f(B),s(s('0'))).
% 38.34/38.56 13 [] {+} -'LE'(f(A),s(s(s(s(s('0'))))))| -iLEQ(A,B)|'E'(s(s(s(s('0')))),f(B))|'LE'(f(B),s(s(s(s('0'))))).
% 38.34/38.56 14 [] {+} -'LE'(f(A),s(s(s(s('0')))))| -iLEQ(A,B)|'E'(s(s(s('0'))),f(B))|'LE'(f(B),s(s(s('0')))).
% 38.34/38.56 15 [] {-} -'E'('0',f(A))| -'E'('0',f(g(A)))|'E'(f(A),f(g(A))).
% 38.34/38.56 16 [copy,15,unit_del,1] {+} -'E'('0',f(A))| -'E'('0',f(g(A))).
% 38.34/38.56 17 [] {-} -'E'(s(s(s(s('0')))),f(A))| -'E'(s(s(s(s('0')))),f(g(A)))|'E'(f(A),f(g(A))).
% 38.34/38.56 18 [copy,17,unit_del,1] {+} -'E'(s(s(s(s('0')))),f(A))| -'E'(s(s(s(s('0')))),f(g(A))).
% 38.34/38.56 19 [] {+} -'LE'(f(A),s(s('0')))| -iLEQ(A,B)|'E'(s('0'),f(B))|'LE'(f(B),s('0')).
% 38.34/38.56 20 [] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'LE'(f(A),s(s(s(s(s('0')))))).
% 38.34/38.56 21 [] {+} iLEQ(A,g(A)).
% 38.34/38.56 22 [] {+} iLEQ(A,A).
% 38.34/38.56 23 [hyper,22,13,20] {-} 'E'(s(s(s(s('0')))),f(A))|'LE'(f(A),s(s(s(s('0')))))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 24 [hyper,23,14,22] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'LE'(f(A),s(s(s('0')))).
% 38.34/38.56 25 [hyper,24,12,22] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'LE'(f(A),s(s('0'))).
% 38.34/38.56 26 [hyper,21,14,23] {-} 'E'(s(s(s('0'))),f(g(A)))|'LE'(f(g(A)),s(s(s('0'))))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 27 [hyper,21,13,20] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'LE'(f(g(A)),s(s(s(s('0')))))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 28 [hyper,21,12,24] {-} 'E'(s(s('0')),f(g(A)))|'LE'(f(g(A)),s(s('0')))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A)).
% 38.34/38.56 29 [hyper,25,19,22] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'(s('0'),f(A))|'LE'(f(A),s('0')).
% 38.34/38.56 30 [hyper,25,19,21] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'(s('0'),f(g(A)))|'LE'(f(g(A)),s('0')).
% 38.34/38.56 31 [hyper,27,14,22] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'LE'(f(g(A)),s(s(s('0')))).
% 38.34/38.56 32 [hyper,27,14,21] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'LE'(f(g(g(A))),s(s(s('0')))).
% 38.34/38.56 33 [hyper,26,12,22] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'LE'(f(g(A)),s(s('0'))).
% 38.34/38.56 34 [hyper,26,12,21] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'LE'(f(g(g(A))),s(s('0'))).
% 38.34/38.56 35 [hyper,31,12,22] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'LE'(f(g(A)),s(s('0'))).
% 38.34/38.56 36 [hyper,31,12,21] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'LE'(f(g(g(A))),s(s('0'))).
% 38.34/38.56 37 [hyper,32,12,22] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'LE'(f(g(g(A))),s(s('0'))).
% 38.34/38.56 38 [hyper,32,12,21] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'LE'(f(g(g(g(A)))),s(s('0'))).
% 38.34/38.56 39 [hyper,28,19,22] {-} 'E'(s(s('0')),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(A)))|'LE'(f(g(A)),s('0')).
% 38.34/38.56 40 [hyper,28,19,21] {-} 'E'(s(s('0')),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(g(A))))|'LE'(f(g(g(A))),s('0')).
% 38.34/38.56 41 [hyper,33,19,22] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'LE'(f(g(A)),s('0')).
% 38.34/38.56 42 [hyper,33,19,21] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'LE'(f(g(g(A))),s('0')).
% 38.34/38.56 43 [hyper,29,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'(s('0'),f(A))|'E'('0',f(A)).
% 38.34/38.56 44 [hyper,29,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'(s('0'),f(A))|'E'('0',f(g(A))).
% 38.34/38.56 45 [hyper,35,19,22] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'LE'(f(g(A)),s('0')).
% 38.34/38.56 46 [hyper,35,19,21] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'LE'(f(g(g(A))),s('0')).
% 38.34/38.56 47 [hyper,30,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'(s('0'),f(g(A)))|'E'('0',f(g(A))).
% 38.34/38.56 48 [hyper,30,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'(s('0'),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 49 [hyper,44,16,43,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'(s('0'),f(A)).
% 38.34/38.56 53 [hyper,34,19,22] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'LE'(f(g(g(A))),s('0')).
% 38.34/38.56 54 [hyper,34,19,21] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'LE'(f(g(g(g(A)))),s('0')).
% 38.34/38.56 58 [hyper,47,11,49,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'('0',f(g(A))).
% 38.34/38.56 59 [hyper,36,19,22] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'LE'(f(g(g(A))),s('0')).
% 38.34/38.56 60 [hyper,36,19,21] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'LE'(f(g(g(g(A)))),s('0')).
% 38.34/38.56 69 [hyper,48,11,49,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A))|'E'('0',f(g(g(A)))).
% 38.34/38.56 81 [hyper,69,16,58,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s(s('0')),f(A)).
% 38.34/38.56 86 [hyper,37,19,22] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'LE'(f(g(g(A))),s('0')).
% 38.34/38.56 87 [hyper,37,19,21] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'LE'(f(g(g(g(A)))),s('0')).
% 38.34/38.56 88 [hyper,39,2,22,unit_del,3] {-} 'E'(s(s('0')),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(A)))|'E'('0',f(g(A))).
% 38.34/38.56 89 [hyper,39,2,21,unit_del,3] {-} 'E'(s(s('0')),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 90 [hyper,88,9,81,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(A)))|'E'('0',f(g(A))).
% 38.34/38.56 101 [hyper,89,9,81,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 109 [hyper,38,19,22] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'LE'(f(g(g(g(A)))),s('0')).
% 38.34/38.56 110 [hyper,38,19,21] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(g(A))))))|'LE'(f(g(g(g(g(A))))),s('0')).
% 38.34/38.56 121 [hyper,101,16,90,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(A))).
% 38.34/38.56 131 [hyper,41,2,22,unit_del,3] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'E'('0',f(g(A))).
% 38.34/38.56 132 [hyper,41,2,21,unit_del,3] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 133 [hyper,131,7,121,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'E'('0',f(g(A))).
% 38.34/38.56 140 [hyper,40,2,22,unit_del,3] {-} 'E'(s(s('0')),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 141 [hyper,40,2,21,unit_del,3] {-} 'E'(s(s('0')),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 150 [hyper,132,7,121,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 171 [hyper,150,16,133,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A))).
% 38.34/38.56 172 [hyper,42,2,22,unit_del,3] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 173 [hyper,42,2,21,unit_del,3] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 209 [hyper,140,9,81,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 218 [hyper,45,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'E'('0',f(g(A))).
% 38.34/38.56 219 [hyper,45,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 234 [hyper,209,11,121,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'('0',f(g(g(A)))).
% 38.34/38.56 251 [hyper,218,18,171,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'E'('0',f(g(A))).
% 38.34/38.56 269 [hyper,46,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 270 [hyper,46,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 287 [hyper,53,2,22,unit_del,3] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 288 [hyper,53,2,21,unit_del,3] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 293 [hyper,141,9,81,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 323 [hyper,293,11,121,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 348 [hyper,323,16,234,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(A)).
% 38.34/38.56 374 [hyper,54,2,22,unit_del,3] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 375 [hyper,54,2,21,unit_del,3] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 408 [hyper,59,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 409 [hyper,59,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 415 [hyper,172,7,348,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 432 [hyper,60,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 433 [hyper,60,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 450 [hyper,415,11,171,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 487 [hyper,86,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 488 [hyper,86,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 497 [hyper,219,18,450,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 506 [hyper,87,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 507 [hyper,87,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 528 [hyper,497,16,251,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(A))).
% 38.34/38.56 575 [hyper,109,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 576 [hyper,109,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 583 [hyper,110,2,22,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(g(A))))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 584 [hyper,110,2,21,unit_del,3] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(g(A))))))|'E'('0',f(g(g(g(g(g(A))))))).
% 38.34/38.56 591 [hyper,173,7,348,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 634 [hyper,591,11,171,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A)))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 684 [hyper,634,16,450,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(A))).
% 38.34/38.56 752 [hyper,269,18,684,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 812 [hyper,270,18,684,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 860 [hyper,752,11,528,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'('0',f(g(g(A)))).
% 38.34/38.56 925 [hyper,287,7,348,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 960 [hyper,812,11,528,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 996 [hyper,960,16,860,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A))).
% 38.34/38.56 1017 [hyper,996,5,348,factor_simp] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(A)))|'E'(s(s(s(s('0')))),f(g(A))).
% 38.34/38.56 1065 [hyper,288,7,348,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 1142 [hyper,374,7,348,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 1224 [hyper,375,7,348,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 1329 [hyper,925,9,684,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 1427 [hyper,1065,9,684,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 1481 [hyper,1427,16,1329,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s('0'),f(g(g(A)))).
% 38.34/38.56 1494 [hyper,408,5,684,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 1548 [hyper,1481,5,996] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s('0'),f(g(g(A))))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A)))).
% 38.34/38.56 1633 [hyper,409,18,1481,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 1779 [hyper,432,5,1481,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 1884 [hyper,433,5,1481,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A)))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 2022 [hyper,487,18,1548,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 2092 [hyper,1494,9,1017,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 2101 [hyper,2092,18,1481,factor_simp] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A))))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 2161 [hyper,488,18,1548,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 2208 [hyper,1633,9,996,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 2258 [hyper,2208,16,2101,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(A)))|'E'(s('0'),f(g(g(A)))).
% 38.34/38.56 2300 [hyper,2258,5,348,factor_simp] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s('0'),f(g(g(A))))|'E'(s(s(s(s('0')))),f(g(A))).
% 38.34/38.56 2317 [hyper,506,18,1017,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 2433 [hyper,507,18,2300,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 2548 [hyper,575,18,2300,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 2650 [hyper,576,18,2300,factor_simp,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 2801 [hyper,2022,5,996,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(A)))).
% 38.34/38.56 2999 [hyper,584,16,583,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(g(A)))))).
% 38.34/38.56 3063 [hyper,1142,9,684,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 3177 [hyper,3063,11,1481,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 4538 [hyper,1779,9,1017,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A)))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 4600 [hyper,4538,11,2300,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A)))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 4612 [hyper,4600,18,3177,factor_simp] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'('0',f(g(g(g(A)))))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 5927 [hyper,2161,5,996,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 6075 [hyper,5927,16,2801,factor_simp,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A)))).
% 38.34/38.56 6090 [hyper,6075,7,2258,factor_simp] {-} 'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(A))))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 7511 [hyper,1224,9,684,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 7679 [hyper,7511,11,1481,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 7888 [hyper,7679,16,3177,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(A))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 8175 [hyper,1884,9,1017,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A)))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 8239 [hyper,2317,5,2258,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 8287 [hyper,2433,5,4612,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 8430 [hyper,2548,5,6090,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 8519 [hyper,2650,5,6090,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 9154 [hyper,8239,11,6075,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 9538 [hyper,2999,18,7888,factor_simp] {-} 'E'(s(s(s(s(s('0'))))),f(A))|'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(g(A)))))).
% 38.34/38.56 9837 [hyper,8175,11,2300,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A)))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 9980 [hyper,9837,16,4600,factor_simp,factor_simp] {-} 'E'(s(s(s(s('0')))),f(g(A)))|'E'(s(s(s('0'))),f(g(A))).
% 38.34/38.56 9981 [hyper,9980,18,9980] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s(s('0'))),f(g(A))).
% 38.34/38.56 10050 [hyper,9980,18,7888] {-} 'E'(s(s(s('0'))),f(g(A)))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 10247 [hyper,8287,11,6075,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 10358 [hyper,10247,16,9154,factor_simp,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(A)))).
% 38.34/38.56 10359 [hyper,10358,7,10358] {-} 'E'(s(s('0')),f(g(g(g(A)))))|'E'(s(s('0')),f(g(g(A)))).
% 38.34/38.56 10374 [hyper,10358,7,10050] {-} 'E'(s(s('0')),f(g(g(A))))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 10414 [hyper,10358,7,9981] {-} 'E'(s(s('0')),f(g(g(g(A)))))|'E'(s(s(s('0'))),f(g(A))).
% 38.34/38.56 10445 [hyper,8430,7,10414,factor_simp] {-} 'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(A))))).
% 38.34/38.56 10593 [hyper,8519,7,10414,factor_simp] {-} 'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A)))))|'E'('0',f(g(g(g(g(A)))))).
% 38.34/38.56 10703 [hyper,10593,16,10445,factor_simp,factor_simp] {-} 'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(A))))).
% 38.34/38.56 10715 [hyper,10703,9,10414] {-} 'E'(s('0'),f(g(g(g(g(A))))))|'E'(s(s(s('0'))),f(g(A))).
% 38.34/38.56 10733 [hyper,10703,9,10374] {-} 'E'(s('0'),f(g(g(g(A)))))|'E'(s(s(s(s(s('0'))))),f(A)).
% 38.34/38.56 10744 [hyper,10703,9,10359] {-} 'E'(s('0'),f(g(g(g(g(A))))))|'E'(s(s('0')),f(g(g(A)))).
% 38.34/38.56 11773 [hyper,9538,5,10733,factor_simp] {-} 'E'(s(s(s('0'))),f(g(g(A))))|'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(g(A)))))).
% 38.34/38.56 11920 [hyper,11773,7,10715,factor_simp] {-} 'E'(s(s('0')),f(g(g(g(A)))))|'E'(s('0'),f(g(g(g(g(A)))))).
% 38.34/38.56 12012 [hyper,11920,9,10744,factor_simp] {-} 'E'(s('0'),f(g(g(g(g(A)))))).
% 38.34/38.56 12096 [hyper,12012,11,12012] {-} $F.
% 38.34/38.56
% 38.34/38.56 % SZS output end Refutation
% 38.34/38.56 ------------ end of proof -------------
% 38.34/38.56
% 38.34/38.56
% 38.34/38.56 Search stopped by max_proofs option.
% 38.34/38.56
% 38.34/38.56
% 38.34/38.56 Search stopped by max_proofs option.
% 38.34/38.56
% 38.34/38.56 ============ end of search ============
% 38.34/38.56
% 38.34/38.56 ----------- soft-scott stats ----------
% 38.34/38.56
% 38.34/38.56 true clauses given 1 (0.1%)
% 38.34/38.56 false clauses given 831
% 38.34/38.56
% 38.34/38.56 FALSE TRUE
% 38.34/38.56 9 1 0
% 38.34/38.56 27 1 0
% 38.34/38.56 29 9 0
% 38.34/38.56 31 9 0
% 38.34/38.56 33 9 0
% 38.34/38.56 34 1 0
% 38.34/38.56 35 16 0
% 38.34/38.56 37 16 0
% 38.34/38.56 39 17 0
% 38.34/38.56 41 19 0
% 38.34/38.56 43 19 0
% 38.34/38.56 45 19 0
% 38.34/38.56 47 17 0
% 38.34/38.56 49 21 0
% 38.34/38.56 51 20 0
% 38.34/38.56 53 19 0
% 38.34/38.56 55 19 0
% 38.34/38.56 57 17 0
% 38.34/38.56 59 17 0
% 38.34/38.56 tot: 266 0 (0.0% true)
% 38.34/38.56
% 38.34/38.56
% 38.34/38.56 Model 2 (0.00 seconds, 0 Inserts)
% 38.34/38.56
% 38.34/38.56 That finishes the proof of the theorem.
% 38.34/38.56
% 38.34/38.56 Process 11808 finished Fri Jul 8 22:25:24 2022
%------------------------------------------------------------------------------