TSTP Solution File: GEO658+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 06:21:22 EDT 2022
% Result : Theorem 61.33s 61.56s
% Output : Refutation 61.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 08:04:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox on n029.cluster.edu,
% 0.13/0.37 Sat Jun 18 08:04:43 2022
% 0.13/0.37 The command was "./sos". The process ID is 12765.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 formula_list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.37
% 0.13/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37 clauses in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(knuth_bendix).
% 0.13/0.37 dependent: set(para_from).
% 0.13/0.37 dependent: set(para_into).
% 0.13/0.37 dependent: clear(para_from_right).
% 0.13/0.37 dependent: clear(para_into_right).
% 0.13/0.37 dependent: set(para_from_vars).
% 0.13/0.37 dependent: set(eq_units_both_ways).
% 0.13/0.37 dependent: set(dynamic_demod_all).
% 0.13/0.37 dependent: set(dynamic_demod).
% 0.13/0.37 dependent: set(order_eq).
% 0.13/0.37 dependent: set(back_demod).
% 0.13/0.37 dependent: set(lrpo).
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: set(unit_deletion).
% 0.13/0.37 dependent: set(factor).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37 Following clause subsumed by 72 during input processing: 0 [] {-} -eqangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37 Following clause subsumed by 170 during input processing: 0 [copy,170,flip.1] {-} A=A.
% 0.13/0.37 170 back subsumes 146.
% 0.13/0.37 170 back subsumes 145.
% 0.13/0.37 170 back subsumes 144.
% 0.13/0.37 170 back subsumes 143.
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Failed to model usable list: disabling FINDER
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 -------------- Softie stats --------------
% 0.18/0.44
% 0.18/0.44 UPDATE_STOP: 300
% 0.18/0.44 SFINDER_TIME_LIMIT: 2
% 0.18/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.44 number of clauses in intial UL: 154
% 0.18/0.44 number of clauses initially in problem: 166
% 0.18/0.44 percentage of clauses intially in UL: 92
% 0.18/0.44 percentage of distinct symbols occuring in initial UL: 87
% 0.18/0.44 percent of all initial clauses that are short: 100
% 0.18/0.44 absolute distinct symbol count: 41
% 0.18/0.44 distinct predicate count: 12
% 0.18/0.44 distinct function count: 20
% 0.18/0.44 distinct constant count: 9
% 0.18/0.44
% 0.18/0.44 ---------- no more Softie stats ----------
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 =========== start of search ===========
% 6.41/6.66
% 6.41/6.66
% 6.41/6.66 Changing weight limit from 60 to 57.
% 6.41/6.66
% 6.41/6.66 Resetting weight limit to 57 after 245 givens.
% 6.41/6.66
% 7.41/7.67
% 7.41/7.67
% 7.41/7.67 Changing weight limit from 57 to 56.
% 7.41/7.67
% 7.41/7.67 Resetting weight limit to 56 after 250 givens.
% 7.41/7.67
% 10.32/10.54
% 10.32/10.54
% 10.32/10.54 Changing weight limit from 56 to 55.
% 10.32/10.54
% 10.32/10.54 Resetting weight limit to 55 after 270 givens.
% 10.32/10.54
% 12.92/13.12
% 12.92/13.12
% 12.92/13.12 Changing weight limit from 55 to 54.
% 12.92/13.12
% 12.92/13.12 Resetting weight limit to 54 after 295 givens.
% 12.92/13.12
% 13.52/13.76
% 13.52/13.76
% 13.52/13.76 Changing weight limit from 54 to 52.
% 13.52/13.76
% 13.52/13.76 Modelling stopped after 300 given clauses and 0.00 seconds
% 13.52/13.76
% 13.52/13.76
% 13.52/13.76 Resetting weight limit to 52 after 305 givens.
% 13.52/13.76
% 14.95/15.21
% 14.95/15.21
% 14.95/15.21 Changing weight limit from 52 to 51.
% 14.95/15.21
% 14.95/15.21 Resetting weight limit to 51 after 315 givens.
% 14.95/15.21
% 18.45/18.71
% 18.45/18.71
% 18.45/18.71 Changing weight limit from 51 to 50.
% 18.45/18.71
% 18.45/18.71 Resetting weight limit to 50 after 365 givens.
% 18.45/18.71
% 21.80/22.04
% 21.80/22.04
% 21.80/22.04 Changing weight limit from 50 to 49.
% 21.80/22.04
% 21.80/22.04 Resetting weight limit to 49 after 425 givens.
% 21.80/22.04
% 23.00/23.21
% 23.00/23.21
% 23.00/23.21 Changing weight limit from 49 to 47.
% 23.00/23.21
% 23.00/23.21 Resetting weight limit to 47 after 445 givens.
% 23.00/23.21
% 23.23/23.46
% 23.23/23.46
% 23.23/23.46 Changing weight limit from 47 to 46.
% 23.23/23.46
% 23.23/23.46 Resetting weight limit to 46 after 450 givens.
% 23.23/23.46
% 23.71/24.00
% 23.71/24.00
% 23.71/24.00 Changing weight limit from 46 to 45.
% 23.71/24.00
% 23.71/24.00 Resetting weight limit to 45 after 460 givens.
% 23.71/24.00
% 24.31/24.55
% 24.31/24.55
% 24.31/24.55 Changing weight limit from 45 to 44.
% 24.31/24.55
% 24.31/24.55 Resetting weight limit to 44 after 470 givens.
% 24.31/24.55
% 24.61/24.83
% 24.61/24.83
% 24.61/24.83 Changing weight limit from 44 to 31.
% 24.61/24.83
% 24.61/24.83 Resetting weight limit to 31 after 475 givens.
% 24.61/24.83
% 24.83/25.07
% 24.83/25.07
% 24.83/25.07 Changing weight limit from 31 to 30.
% 24.83/25.07
% 24.83/25.07 Resetting weight limit to 30 after 480 givens.
% 24.83/25.07
% 33.82/34.08
% 33.82/34.08
% 33.82/34.08 Changing weight limit from 30 to 29.
% 33.82/34.08
% 33.82/34.08 Resetting weight limit to 29 after 845 givens.
% 33.82/34.08
% 35.33/35.59
% 35.33/35.59
% 35.33/35.59 Changing weight limit from 29 to 10.
% 35.33/35.59
% 35.33/35.59 Resetting weight limit to 10 after 950 givens.
% 35.33/35.59
% 37.01/37.28
% 37.01/37.28
% 37.01/37.28 Changing weight limit from 10 to 9.
% 37.01/37.28
% 37.01/37.28 Resetting weight limit to 9 after 1865 givens.
% 37.01/37.28
% 37.62/37.83
% 37.62/37.83
% 37.62/37.83 Changing weight limit from 9 to 5.
% 37.62/37.83
% 37.62/37.83 Resetting weight limit to 5 after 2100 givens.
% 37.62/37.83
% 38.82/39.03
% 38.82/39.03
% 38.82/39.03 Changing weight limit from 5 to 6.
% 38.82/39.03
% 38.82/39.03 Resetting weight limit to 6 after 4095 givens.
% 38.82/39.03
% 38.82/39.03
% 38.82/39.03
% 38.82/39.03 Changing weight limit from 6 to 7.
% 38.82/39.03
% 38.82/39.03 Resetting weight limit to 7 after 4100 givens.
% 38.82/39.03
% 38.82/39.03
% 38.82/39.03
% 38.82/39.03 Changing weight limit from 7 to 8.
% 38.82/39.03
% 38.82/39.03 Resetting weight limit to 8 after 4105 givens.
% 38.82/39.03
% 38.82/39.04
% 38.82/39.04
% 38.82/39.04 Changing weight limit from 8 to 9.
% 38.82/39.04
% 38.82/39.04 Resetting weight limit to 9 after 4110 givens.
% 38.82/39.04
% 38.82/39.04
% 38.82/39.04
% 38.82/39.04 Changing weight limit from 9 to 10.
% 38.82/39.04
% 38.82/39.04 Resetting weight limit to 10 after 4115 givens.
% 38.82/39.04
% 38.82/39.04
% 38.82/39.04
% 38.82/39.04 Changing weight limit from 10 to 11.
% 38.82/39.04
% 38.82/39.04 Resetting weight limit to 11 after 4120 givens.
% 38.82/39.04
% 38.82/39.05
% 38.82/39.05
% 38.82/39.05 Changing weight limit from 11 to 12.
% 38.82/39.05
% 38.82/39.05 Resetting weight limit to 12 after 4125 givens.
% 38.82/39.05
% 38.82/39.05
% 38.82/39.05
% 38.82/39.05 Changing weight limit from 12 to 13.
% 38.82/39.05
% 38.82/39.05 Resetting weight limit to 13 after 4130 givens.
% 38.82/39.05
% 38.82/39.05
% 38.82/39.05
% 38.82/39.05 Changing weight limit from 13 to 14.
% 38.82/39.05
% 38.82/39.05 Resetting weight limit to 14 after 4135 givens.
% 38.82/39.05
% 38.82/39.05
% 38.82/39.05
% 38.82/39.05 Changing weight limit from 14 to 15.
% 38.82/39.05
% 38.82/39.05 Resetting weight limit to 15 after 4140 givens.
% 38.82/39.05
% 38.82/39.06
% 38.82/39.06
% 38.82/39.06 Changing weight limit from 15 to 16.
% 38.82/39.06
% 38.82/39.06 Resetting weight limit to 16 after 4145 givens.
% 38.82/39.06
% 38.82/39.06
% 38.82/39.06
% 38.82/39.06 Changing weight limit from 16 to 17.
% 38.82/39.06
% 38.82/39.06 Resetting weight limit to 17 after 4150 givens.
% 38.82/39.06
% 38.82/39.06
% 38.82/39.06
% 38.82/39.06 Changing weight limit from 17 to 18.
% 38.82/39.06
% 38.82/39.06 Resetting weight limit to 18 after 4155 givens.
% 38.82/39.06
% 38.82/39.07
% 38.82/39.07
% 38.82/39.07 Changing weight limit from 18 to 19.
% 38.82/39.07
% 38.82/39.07 Resetting weight limit to 19 after 4160 givens.
% 38.82/39.07
% 38.82/39.07
% 38.82/39.07
% 38.82/39.07 Changing weight limit from 19 to 20.
% 38.82/39.07
% 38.82/39.07 Resetting weight limit to 20 after 4165 givens.
% 38.82/39.07
% 38.82/39.07
% 38.82/39.07
% 38.82/39.07 Changing weight limit from 20 to 21.
% 38.82/39.07
% 38.82/39.07 Resetting weight limit to 21 after 4170 givens.
% 38.82/39.07
% 38.82/39.08
% 38.82/39.08
% 38.82/39.08 Changing weight limit from 21 to 22.
% 38.82/39.08
% 38.82/39.08 Resetting weight limit to 22 after 4175 givens.
% 38.82/39.08
% 38.82/39.08
% 38.82/39.08
% 38.82/39.08 Changing weight limit from 22 to 23.
% 38.82/39.08
% 38.82/39.08 Resetting weight limit to 23 after 4180 givens.
% 38.82/39.08
% 38.82/39.09
% 38.82/39.09
% 38.82/39.09 Changing weight limit from 23 to 24.
% 38.82/39.09
% 38.82/39.09 Resetting weight limit to 24 after 4185 givens.
% 38.82/39.09
% 38.91/39.09
% 38.91/39.09
% 38.91/39.09 Changing weight limit from 24 to 25.
% 38.91/39.09
% 38.91/39.09 Resetting weight limit to 25 after 4190 givens.
% 38.91/39.09
% 38.91/39.09
% 38.91/39.09
% 38.91/39.09 Changing weight limit from 25 to 26.
% 38.91/39.09
% 38.91/39.09 Resetting weight limit to 26 after 4195 givens.
% 38.91/39.09
% 38.91/39.10
% 38.91/39.10
% 38.91/39.10 Changing weight limit from 26 to 27.
% 38.91/39.10
% 38.91/39.10 Resetting weight limit to 27 after 4200 givens.
% 38.91/39.10
% 38.91/39.10
% 38.91/39.10
% 38.91/39.10 Changing weight limit from 27 to 28.
% 38.91/39.10
% 38.91/39.10 Resetting weight limit to 28 after 4205 givens.
% 38.91/39.10
% 38.91/39.11
% 38.91/39.11
% 38.91/39.11 Changing weight limit from 28 to 29.
% 38.91/39.11
% 38.91/39.11 Resetting weight limit to 29 after 4210 givens.
% 38.91/39.11
% 38.91/39.11
% 38.91/39.11
% 38.91/39.11 Changing weight limit from 29 to 30.
% 38.91/39.11
% 38.91/39.11 Resetting weight limit to 30 after 4215 givens.
% 38.91/39.11
% 52.51/52.69
% 52.51/52.69
% 52.51/52.69 Changing weight limit from 30 to 10.
% 52.51/52.69
% 52.51/52.69 Resetting weight limit to 10 after 7245 givens.
% 52.51/52.69
% 52.52/52.75
% 52.52/52.75
% 52.52/52.75 Changing weight limit from 10 to 9.
% 52.52/52.75
% 52.52/52.75 Resetting weight limit to 9 after 7260 givens.
% 52.52/52.75
% 59.31/59.52
% 59.31/59.52
% 59.31/59.52 Changing weight limit from 9 to 8.
% 59.31/59.52
% 59.31/59.52 Resetting weight limit to 8 after 10135 givens.
% 59.31/59.52
% 60.20/60.44
% 60.20/60.44
% 60.20/60.44 Changing weight limit from 8 to 7.
% 60.20/60.44
% 60.20/60.44 Resetting weight limit to 7 after 10345 givens.
% 60.20/60.44
% 60.20/60.46
% 60.20/60.46
% 60.20/60.46 Changing weight limit from 7 to 5.
% 60.20/60.46
% 60.20/60.46 Resetting weight limit to 5 after 10350 givens.
% 60.20/60.46
% 61.33/61.56
% 61.33/61.56 -- HEY sandbox, WE HAVE A PROOF!! --
% 61.33/61.56
% 61.33/61.56 ----> UNIT CONFLICT at 60.69 sec ----> 166306 [binary,166305.1,113.1] {-} $F.
% 61.33/61.56
% 61.33/61.56 Length of proof is 175. Level of proof is 21.
% 61.33/61.56
% 61.33/61.56 ---------------- PROOF ----------------
% 61.33/61.56 % SZS status Theorem
% 61.33/61.56 % SZS output start Refutation
% 61.33/61.56
% 61.33/61.56 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 61.33/61.56 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 61.33/61.56 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 61.33/61.56 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 61.33/61.56 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 61.33/61.56 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 61.33/61.56 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 61.33/61.56 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 61.33/61.56 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 61.33/61.56 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 61.33/61.56 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 61.33/61.56 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 61.33/61.56 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 61.33/61.57 41 [] {+} -cyclic(A,B,C,D)|eqangle(C,A,C,B,D,A,D,B).
% 61.33/61.57 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 61.33/61.57 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 61.33/61.57 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 61.33/61.57 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 61.33/61.57 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 61.33/61.57 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 61.33/61.57 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 61.33/61.57 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 61.33/61.57 73 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 61.33/61.57 74 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -perp(E,F,G,H)|perp(A,B,C,D).
% 61.33/61.57 113 [] {+} -para($c3,$c4,$c2,$c1).
% 61.33/61.57 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 61.33/61.57 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 61.33/61.57 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 61.33/61.57 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 61.33/61.57 159 [] {-} para($c9,$c8,$c7,$c6).
% 61.33/61.57 160 [] {-} para($c9,$c7,$c8,$c6).
% 61.33/61.57 161 [] {-} coll($c5,$c9,$c7).
% 61.33/61.57 162 [] {-} perp($c4,$c5,$c7,$c6).
% 61.33/61.57 163 [] {-} coll($c4,$c7,$c6).
% 61.33/61.57 164 [] {-} perp($c3,$c5,$c8,$c7).
% 61.33/61.57 165 [] {-} coll($c3,$c8,$c7).
% 61.33/61.57 166 [] {-} coll($c2,$c5,$c3).
% 61.33/61.57 167 [] {-} coll($c2,$c9,$c6).
% 61.33/61.57 168 [] {-} coll($c1,$c5,$c4).
% 61.33/61.57 169 [] {-} coll($c1,$c9,$c8).
% 61.33/61.57 171 [hyper,159,40] {-} eqangle($c9,$c8,A,B,$c7,$c6,A,B).
% 61.33/61.57 172 [hyper,159,5] {-} para($c7,$c6,$c9,$c8).
% 61.33/61.57 190 [hyper,161,114] {-} coll($c7,$c7,$c5).
% 61.33/61.57 191 [hyper,161,2] {-} coll($c9,$c5,$c7).
% 61.33/61.57 192 [hyper,161,1] {-} coll($c5,$c7,$c9).
% 61.33/61.57 207 [hyper,163,1] {-} coll($c4,$c6,$c7).
% 61.33/61.57 220 [hyper,165,114] {-} coll($c7,$c7,$c3).
% 61.33/61.57 221 [hyper,165,2] {-} coll($c8,$c3,$c7).
% 61.33/61.57 222 [hyper,165,1] {-} coll($c3,$c7,$c8).
% 61.33/61.57 235 [hyper,160,40] {-} eqangle($c9,$c7,A,B,$c8,$c6,A,B).
% 61.33/61.57 236 [hyper,160,5] {-} para($c8,$c6,$c9,$c7).
% 61.33/61.57 254 [hyper,166,114] {-} coll($c3,$c3,$c2).
% 61.33/61.57 271 [hyper,167,1] {-} coll($c2,$c6,$c9).
% 61.33/61.57 284 [hyper,168,114] {-} coll($c4,$c4,$c1).
% 61.33/61.57 286 [hyper,168,1] {-} coll($c1,$c4,$c5).
% 61.33/61.57 299 [hyper,169,114] {-} coll($c8,$c8,$c1).
% 61.33/61.57 300 [hyper,169,2] {-} coll($c9,$c1,$c8).
% 61.33/61.57 301 [hyper,169,1] {-} coll($c1,$c8,$c9).
% 61.33/61.57 314 [hyper,162,8] {-} perp($c7,$c6,$c4,$c5).
% 61.33/61.57 332 [hyper,190,114] {-} coll($c5,$c5,$c7).
% 61.33/61.57 333 [hyper,190,1] {-} coll($c7,$c5,$c7).
% 61.33/61.57 346 [hyper,191,114] {-} coll($c7,$c7,$c9).
% 61.33/61.57 360 [hyper,192,114] {-} coll($c9,$c9,$c5).
% 61.33/61.57 388 [hyper,164,8] {-} perp($c8,$c7,$c3,$c5).
% 61.33/61.57 389 [hyper,164,7] {-} perp($c3,$c5,$c7,$c8).
% 61.33/61.57 420 [hyper,207,114] {-} coll($c7,$c7,$c4).
% 61.33/61.57 434 [hyper,220,114] {-} coll($c3,$c3,$c7).
% 61.33/61.57 436 [hyper,220,3,190] {-} coll($c3,$c5,$c7).
% 61.33/61.57 450 [hyper,221,114] {-} coll($c7,$c7,$c8).
% 61.33/61.57 451 [hyper,221,1] {-} coll($c8,$c7,$c3).
% 61.33/61.57 498 [hyper,254,114] {-} coll($c2,$c2,$c3).
% 61.33/61.57 499 [hyper,254,1] {-} coll($c3,$c2,$c3).
% 61.33/61.57 540 [hyper,172,73,171] {-} para($c9,$c8,$c9,$c8).
% 61.33/61.57 589 [hyper,271,114] {-} coll($c9,$c9,$c2).
% 61.33/61.57 650 [hyper,286,114] {-} coll($c5,$c5,$c1).
% 61.33/61.57 664 [hyper,299,114] {-} coll($c1,$c1,$c8).
% 61.33/61.57 678 [hyper,300,114] {-} coll($c8,$c8,$c9).
% 61.33/61.57 792 [hyper,301,114] {-} coll($c9,$c9,$c1).
% 61.33/61.57 833 [hyper,346,114] {-} coll($c9,$c9,$c7).
% 61.33/61.57 834 [hyper,346,3,220] {-} coll($c3,$c9,$c7).
% 61.33/61.57 963 [hyper,360,1] {-} coll($c9,$c5,$c9).
% 61.33/61.57 1149 [hyper,420,3,220] {-} coll($c3,$c4,$c7).
% 61.33/61.57 1152 [hyper,420,3,220] {-} coll($c4,$c3,$c7).
% 61.33/61.57 1282 [hyper,434,1] {-} coll($c3,$c7,$c3).
% 61.33/61.57 1308 [hyper,436,1] {-} coll($c3,$c7,$c5).
% 61.33/61.57 1411 [hyper,450,3,420] {-} coll($c4,$c8,$c7).
% 61.33/61.57 1430 [hyper,451,114] {-} coll($c3,$c3,$c8).
% 61.33/61.57 1548 [hyper,498,1] {-} coll($c2,$c3,$c2).
% 61.33/61.57 1928 [hyper,589,1] {-} coll($c9,$c2,$c9).
% 61.33/61.57 2068 [hyper,650,3,332] {-} coll($c7,$c1,$c5).
% 61.33/61.57 2155 [hyper,664,1] {-} coll($c1,$c8,$c1).
% 61.33/61.57 2182 [hyper,678,114] {-} coll($c9,$c9,$c8).
% 61.33/61.57 2272 [hyper,792,1] {-} coll($c9,$c1,$c9).
% 61.33/61.57 2396 [hyper,834,1] {-} coll($c3,$c7,$c9).
% 61.33/61.57 2542 [hyper,963,114] {-} coll($c9,$c9,$c9).
% 61.33/61.57 2897 [hyper,1149,1] {-} coll($c3,$c7,$c4).
% 61.33/61.57 2995 [hyper,1152,1] {-} coll($c4,$c7,$c3).
% 61.33/61.57 3133 [hyper,1282,3,222] {-} coll($c8,$c3,$c3).
% 61.33/61.57 3217 [hyper,1308,3,222] {-} coll($c8,$c5,$c3).
% 61.33/61.57 3312 [hyper,1411,1] {-} coll($c4,$c7,$c8).
% 61.33/61.57 3453 [hyper,1430,3,254] {-} coll($c2,$c8,$c3).
% 61.33/61.57 4374 [hyper,1928,2] {-} coll($c2,$c9,$c9).
% 61.33/61.57 4692 [hyper,2068,1] {-} coll($c7,$c5,$c1).
% 61.33/61.57 4877 [hyper,2155,2] {-} coll($c8,$c1,$c1).
% 61.33/61.57 5201 [hyper,2272,3,300] {-} coll($c8,$c9,$c9).
% 61.33/61.57 5533 [hyper,2396,114] {-} coll($c9,$c9,$c3).
% 61.33/61.57 6339 [hyper,2897,114] {-} coll($c4,$c4,$c3).
% 61.33/61.57 6579 [hyper,236,73,235] {-} para($c9,$c7,$c9,$c7).
% 61.33/61.57 6809 [hyper,3312,3,2995] {-} coll($c8,$c3,$c4).
% 61.33/61.57 6899 [hyper,3453,1] {-} coll($c2,$c3,$c8).
% 61.33/61.57 7780 [hyper,4692,3,333] {-} coll($c1,$c7,$c7).
% 61.33/61.57 9051 [hyper,6339,3,284] {-} coll($c3,$c1,$c4).
% 61.33/61.57 10066 [hyper,6899,3,1548] {-} coll($c8,$c2,$c2).
% 61.33/61.57 10293 [hyper,314,74,171] {-} perp($c9,$c8,$c4,$c5).
% 61.33/61.57 13243 [hyper,388,9,164] {-} para($c3,$c5,$c3,$c5).
% 61.33/61.57 13271 [hyper,389,8] {-} perp($c7,$c8,$c3,$c5).
% 61.33/61.57 13626 [hyper,540,40] {-} eqangle($c9,$c8,A,B,$c9,$c8,A,B).
% 61.33/61.57 15186 [hyper,10293,7] {-} perp($c9,$c8,$c5,$c4).
% 61.33/61.57 15882 [hyper,13271,7] {-} perp($c7,$c8,$c5,$c3).
% 61.33/61.57 20431 [hyper,13626,43,5533] {-} cyclic($c8,$c3,$c9,$c9).
% 61.33/61.57 20432 [hyper,13626,43,2542] {-} cyclic($c8,$c9,$c9,$c9).
% 61.33/61.57 20433 [hyper,13626,43,2182] {-} cyclic($c8,$c8,$c9,$c9).
% 61.33/61.57 20435 [hyper,13626,43,833] {-} cyclic($c8,$c7,$c9,$c9).
% 61.33/61.57 20436 [hyper,13626,43,792] {-} cyclic($c8,$c1,$c9,$c9).
% 61.33/61.57 20437 [hyper,13626,43,589] {-} cyclic($c8,$c2,$c9,$c9).
% 61.33/61.57 20465 [hyper,20431,15] {-} cyclic($c8,$c9,$c3,$c9).
% 61.33/61.57 20468 [hyper,20433,15] {-} cyclic($c8,$c9,$c8,$c9).
% 61.33/61.57 20494 [hyper,20435,15] {-} cyclic($c8,$c9,$c7,$c9).
% 61.33/61.57 20497 [hyper,20436,15] {-} cyclic($c8,$c9,$c1,$c9).
% 61.33/61.57 20498 [hyper,20437,120] {-} cyclic($c2,$c9,$c9,$c9).
% 61.33/61.57 20499 [hyper,20437,16] {-} cyclic($c2,$c8,$c9,$c9).
% 61.33/61.57 20500 [hyper,20437,15] {-} cyclic($c8,$c9,$c2,$c9).
% 61.33/61.57 20552 [hyper,20465,16] {-} cyclic($c9,$c8,$c3,$c9).
% 61.33/61.57 20553 [hyper,20465,14] {-} cyclic($c8,$c9,$c9,$c3).
% 61.33/61.57 20577 [hyper,20468,16] {-} cyclic($c9,$c8,$c8,$c9).
% 61.33/61.57 20578 [hyper,20468,14] {-} cyclic($c8,$c9,$c9,$c8).
% 61.33/61.57 20592 [hyper,20494,14] {-} cyclic($c8,$c9,$c9,$c7).
% 61.33/61.57 20600 [hyper,20497,16] {-} cyclic($c9,$c8,$c1,$c9).
% 61.33/61.57 20601 [hyper,20497,14] {-} cyclic($c8,$c9,$c9,$c1).
% 61.33/61.57 20603 [hyper,20498,16] {-} cyclic($c9,$c2,$c9,$c9).
% 61.33/61.57 20604 [hyper,20499,15] {-} cyclic($c2,$c9,$c8,$c9).
% 61.33/61.57 20609 [hyper,20500,16] {-} cyclic($c9,$c8,$c2,$c9).
% 61.33/61.57 20610 [hyper,20500,14] {-} cyclic($c8,$c9,$c9,$c2).
% 61.33/61.57 20672 [hyper,20552,14] {-} cyclic($c9,$c8,$c9,$c3).
% 61.33/61.57 20702 [hyper,20577,14] {-} cyclic($c9,$c8,$c9,$c8).
% 61.33/61.57 20703 [hyper,20578,123,20432,13626] {-} cong($c8,$c9,$c8,$c9).
% 61.33/61.57 20760 [hyper,20600,14] {-} cyclic($c9,$c8,$c9,$c1).
% 61.33/61.57 20761 [hyper,20601,120] {-} cyclic($c9,$c9,$c1,$c1).
% 61.33/61.57 20769 [hyper,20601,17,20592] {-} cyclic($c9,$c9,$c1,$c7).
% 61.33/61.57 20772 [hyper,20601,17,20553] {-} cyclic($c9,$c9,$c1,$c3).
% 61.33/61.57 20775 [hyper,20603,15] {-} cyclic($c9,$c9,$c2,$c9).
% 61.33/61.57 20797 [hyper,20604,16] {-} cyclic($c9,$c2,$c8,$c9).
% 61.33/61.57 20800 [hyper,20609,14] {-} cyclic($c9,$c8,$c9,$c2).
% 61.33/61.57 20801 [hyper,20610,120] {-} cyclic($c9,$c9,$c2,$c2).
% 61.33/61.57 20900 [hyper,20672,120] {-} cyclic($c8,$c9,$c3,$c3).
% 61.33/61.57 20927 [hyper,20702,17,20672] {-} cyclic($c8,$c9,$c3,$c8).
% 61.33/61.57 20934 [hyper,20703,68,5201] {-} midp($c8,$c9,$c9).
% 61.33/61.57 20942 [hyper,20934,129,6579] {-} midp($c8,$c7,$c7).
% 61.33/61.57 20943 [hyper,20934,129,540] {-} midp($c8,$c8,$c8).
% 61.33/61.57 20955 [hyper,20942,69] {-} cong($c8,$c7,$c8,$c7).
% 61.33/61.57 20966 [hyper,20943,69] {-} cong($c8,$c8,$c8,$c8).
% 61.33/61.57 21791 [hyper,20760,120] {-} cyclic($c8,$c9,$c1,$c1).
% 61.33/61.57 21800 [hyper,20760,17,20702] {-} cyclic($c8,$c9,$c1,$c8).
% 61.33/61.57 21899 [hyper,20769,120] {-} cyclic($c9,$c1,$c7,$c7).
% 61.33/61.57 21903 [hyper,20769,17,20761] {-} cyclic($c9,$c1,$c7,$c1).
% 61.33/61.57 21945 [hyper,20772,17,20769] {-} cyclic($c9,$c1,$c7,$c3).
% 61.33/61.57 21989 [hyper,20797,14] {-} cyclic($c9,$c2,$c9,$c8).
% 61.33/61.57 21991 [hyper,20800,120] {-} cyclic($c8,$c9,$c2,$c2).
% 61.33/61.57 22002 [hyper,20800,17,20702] {-} cyclic($c8,$c9,$c2,$c8).
% 61.33/61.57 22007 [hyper,20801,17,20775] {-} cyclic($c9,$c2,$c9,$c2).
% 61.33/61.57 22514 [hyper,20900,15] {-} cyclic($c8,$c3,$c9,$c3).
% 61.33/61.57 22669 [hyper,20927,15] {-} cyclic($c8,$c3,$c9,$c8).
% 61.33/61.57 23801 [hyper,20966,57,20955] {-} perp($c8,$c8,$c7,$c8).
% 61.33/61.57 23802 [hyper,20966,57,20703] {-} perp($c8,$c8,$c9,$c8).
% 61.33/61.57 29468 [hyper,21791,15] {-} cyclic($c8,$c1,$c9,$c1).
% 61.33/61.57 29490 [hyper,21800,15] {-} cyclic($c8,$c1,$c9,$c8).
% 61.33/61.57 30651 [hyper,21945,17,21903] {-} cyclic($c1,$c7,$c3,$c1).
% 61.33/61.57 30652 [hyper,21945,17,21899] {-} cyclic($c1,$c7,$c3,$c7).
% 61.33/61.57 30869 [hyper,21989,120] {-} cyclic($c2,$c9,$c8,$c8).
% 61.33/61.57 30875 [hyper,21991,15] {-} cyclic($c8,$c2,$c9,$c2).
% 61.33/61.57 30901 [hyper,22002,15] {-} cyclic($c8,$c2,$c9,$c8).
% 61.33/61.57 30913 [hyper,22007,17,21989] {-} cyclic($c2,$c9,$c8,$c2).
% 61.33/61.57 35397 [hyper,22669,44,22514,20431,13626] {-} cong($c8,$c3,$c8,$c3).
% 61.33/61.57 35453 [hyper,23801,9,15882] {-} para($c8,$c8,$c5,$c3).
% 61.33/61.57 35462 [hyper,23802,9,15186] {-} para($c8,$c8,$c5,$c4).
% 61.33/61.57 36605 [hyper,29490,44,29468,20436,13626] {-} cong($c8,$c1,$c8,$c1).
% 61.33/61.57 36607 [hyper,30652,41] {-} eqangle($c3,$c1,$c3,$c7,$c7,$c1,$c7,$c7).
% 61.33/61.57 37405 [hyper,30869,41] {-} eqangle($c8,$c2,$c8,$c9,$c8,$c2,$c8,$c9).
% 61.33/61.57 37505 [hyper,30901,44,30875,20437,13626] {-} cong($c8,$c2,$c8,$c2).
% 61.33/61.57 64971 [hyper,35397,68,3133] {-} midp($c8,$c3,$c3).
% 61.33/61.57 65121 [hyper,64971,129,13243] {-} midp($c8,$c5,$c5).
% 61.33/61.57 69603 [hyper,35453,46,65121,3217] {-} midp($c8,$c5,$c3).
% 61.33/61.57 69788 [hyper,69603,11] {-} midp($c8,$c3,$c5).
% 61.33/61.57 70631 [hyper,35462,46,69788,6809] {-} midp($c8,$c3,$c4).
% 61.33/61.57 78385 [hyper,36605,68,4877] {-} midp($c8,$c1,$c1).
% 61.33/61.57 78611 [hyper,78385,64,20942] {-} para($c7,$c1,$c7,$c1).
% 61.33/61.57 78616 [hyper,78385,64,70631] {-} para($c1,$c3,$c1,$c4).
% 61.33/61.57 78667 [hyper,36607,123,30651,30652] {-} cong($c1,$c7,$c1,$c7).
% 61.33/61.57 78855 [hyper,37505,68,10066] {-} midp($c8,$c2,$c2).
% 61.33/61.57 79091 [hyper,78855,64,20934] {-} para($c9,$c2,$c9,$c2).
% 61.33/61.57 79101 [hyper,78855,64,64971] {-} para($c2,$c3,$c2,$c3).
% 61.33/61.57 80807 [hyper,37405,44,30913,20604,30869] {-} cong($c2,$c9,$c2,$c9).
% 61.33/61.57 128630 [hyper,78667,68,7780] {-} midp($c1,$c7,$c7).
% 61.33/61.57 128635 [hyper,128630,129,78611] {-} midp($c1,$c1,$c1).
% 61.33/61.57 129512 [hyper,128635,46,78616,9051] {-} midp($c3,$c1,$c4).
% 61.33/61.57 149633 [hyper,129512,11] {-} midp($c3,$c4,$c1).
% 61.33/61.57 162560 [hyper,80807,68,4374] {-} midp($c2,$c9,$c9).
% 61.33/61.57 162562 [hyper,162560,129,79091] {-} midp($c2,$c2,$c2).
% 61.33/61.57 162691 [hyper,162562,46,79101,499] {-} midp($c3,$c2,$c3).
% 61.33/61.57 165214 [hyper,162691,11] {-} midp($c3,$c3,$c2).
% 61.33/61.57 166305 [hyper,165214,64,149633] {-} para($c3,$c4,$c2,$c1).
% 61.33/61.57 166306 [binary,166305.1,113.1] {-} $F.
% 61.33/61.57
% 61.33/61.57 % SZS output end Refutation
% 61.33/61.57 ------------ end of proof -------------
% 61.33/61.57
% 61.33/61.57
% 61.33/61.57 Search stopped by max_proofs option.
% 61.33/61.57
% 61.33/61.57
% 61.33/61.57 Search stopped by max_proofs option.
% 61.33/61.57
% 61.33/61.57 ============ end of search ============
% 61.33/61.57
% 61.33/61.57 That finishes the proof of the theorem.
% 61.33/61.57
% 61.33/61.57 Process 12765 finished Sat Jun 18 08:05:45 2022
%------------------------------------------------------------------------------