TSTP Solution File: GEO614+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 06:21:09 EDT 2022
% Result : Theorem 102.42s 102.67s
% Output : Refutation 102.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.11 % Command : sos-script %s
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sat Jun 18 12:21:54 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.10/0.35 ----- Otter 3.2, August 2001 -----
% 0.10/0.35 The process was started by sandbox2 on n019.cluster.edu,
% 0.10/0.35 Sat Jun 18 12:21:54 2022
% 0.10/0.35 The command was "./sos". The process ID is 4650.
% 0.10/0.35
% 0.10/0.35 set(prolog_style_variables).
% 0.10/0.35 set(auto).
% 0.10/0.35 dependent: set(auto1).
% 0.10/0.35 dependent: set(process_input).
% 0.10/0.35 dependent: clear(print_kept).
% 0.10/0.35 dependent: clear(print_new_demod).
% 0.10/0.35 dependent: clear(print_back_demod).
% 0.10/0.35 dependent: clear(print_back_sub).
% 0.10/0.35 dependent: set(control_memory).
% 0.10/0.35 dependent: assign(max_mem, 12000).
% 0.10/0.35 dependent: assign(pick_given_ratio, 4).
% 0.10/0.35 dependent: assign(stats_level, 1).
% 0.10/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.10/0.35 dependent: assign(sos_limit, 5000).
% 0.10/0.35 dependent: assign(max_weight, 60).
% 0.10/0.35 clear(print_given).
% 0.10/0.35
% 0.10/0.35 formula_list(usable).
% 0.10/0.35
% 0.10/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.10/0.35
% 0.10/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.10/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.10/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.10/0.35 clauses in usable.
% 0.10/0.35
% 0.10/0.35 dependent: set(knuth_bendix).
% 0.10/0.35 dependent: set(para_from).
% 0.10/0.35 dependent: set(para_into).
% 0.10/0.35 dependent: clear(para_from_right).
% 0.10/0.35 dependent: clear(para_into_right).
% 0.10/0.35 dependent: set(para_from_vars).
% 0.10/0.35 dependent: set(eq_units_both_ways).
% 0.10/0.35 dependent: set(dynamic_demod_all).
% 0.10/0.35 dependent: set(dynamic_demod).
% 0.10/0.35 dependent: set(order_eq).
% 0.10/0.35 dependent: set(back_demod).
% 0.10/0.35 dependent: set(lrpo).
% 0.10/0.35 dependent: set(hyper_res).
% 0.10/0.35 dependent: set(unit_deletion).
% 0.10/0.35 dependent: set(factor).
% 0.10/0.35
% 0.10/0.35 ------------> process usable:
% 0.10/0.35 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).
% 0.10/0.35
% 0.10/0.35 ------------> process sos:
% 0.10/0.35 Following clause subsumed by 168 during input processing: 0 [copy,168,flip.1] {-} A=A.
% 0.10/0.35 168 back subsumes 146.
% 0.10/0.35 168 back subsumes 145.
% 0.10/0.35 168 back subsumes 144.
% 0.10/0.35 168 back subsumes 143.
% 0.10/0.35
% 0.10/0.35 ======= end of input processing =======
% 0.16/0.42
% 0.16/0.42
% 0.16/0.42 Failed to model usable list: disabling FINDER
% 0.16/0.42
% 0.16/0.42
% 0.16/0.42
% 0.16/0.42 -------------- Softie stats --------------
% 0.16/0.42
% 0.16/0.42 UPDATE_STOP: 300
% 0.16/0.42 SFINDER_TIME_LIMIT: 2
% 0.16/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.16/0.42 number of clauses in intial UL: 154
% 0.16/0.42 number of clauses initially in problem: 164
% 0.16/0.42 percentage of clauses intially in UL: 93
% 0.16/0.42 percentage of distinct symbols occuring in initial UL: 83
% 0.16/0.42 percent of all initial clauses that are short: 100
% 0.16/0.42 absolute distinct symbol count: 42
% 0.16/0.42 distinct predicate count: 12
% 0.16/0.42 distinct function count: 20
% 0.16/0.42 distinct constant count: 10
% 0.16/0.42
% 0.16/0.42 ---------- no more Softie stats ----------
% 0.16/0.42
% 0.16/0.42
% 0.16/0.42
% 0.16/0.42 =========== start of search ===========
% 5.99/6.23
% 5.99/6.23
% 5.99/6.23 Changing weight limit from 60 to 57.
% 5.99/6.23
% 5.99/6.23 Resetting weight limit to 57 after 235 givens.
% 5.99/6.23
% 6.71/6.99
% 6.71/6.99
% 6.71/6.99 Changing weight limit from 57 to 56.
% 6.71/6.99
% 6.71/6.99 Resetting weight limit to 56 after 240 givens.
% 6.71/6.99
% 9.03/9.22
% 9.03/9.22
% 9.03/9.22 Changing weight limit from 56 to 55.
% 9.03/9.22
% 9.03/9.22 Resetting weight limit to 55 after 255 givens.
% 9.03/9.22
% 11.02/11.21
% 11.02/11.21
% 11.02/11.21 Changing weight limit from 55 to 54.
% 11.02/11.21
% 11.02/11.21 Resetting weight limit to 54 after 280 givens.
% 11.02/11.21
% 11.64/11.89
% 11.64/11.89
% 11.64/11.89 Changing weight limit from 54 to 52.
% 11.64/11.89
% 11.64/11.89 Resetting weight limit to 52 after 290 givens.
% 11.64/11.89
% 12.82/13.09
% 12.82/13.09
% 12.82/13.09 Changing weight limit from 52 to 51.
% 12.82/13.09
% 12.82/13.09 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.82/13.09
% 12.82/13.09
% 12.82/13.09 Resetting weight limit to 51 after 305 givens.
% 12.82/13.09
% 16.10/16.29
% 16.10/16.29
% 16.10/16.29 Changing weight limit from 51 to 50.
% 16.10/16.29
% 16.10/16.29 Resetting weight limit to 50 after 340 givens.
% 16.10/16.29
% 18.70/18.94
% 18.70/18.94
% 18.70/18.94 Changing weight limit from 50 to 49.
% 18.70/18.94
% 18.70/18.94 Resetting weight limit to 49 after 385 givens.
% 18.70/18.94
% 19.73/20.01
% 19.73/20.01
% 19.73/20.01 Changing weight limit from 49 to 47.
% 19.73/20.01
% 19.73/20.01 Resetting weight limit to 47 after 410 givens.
% 19.73/20.01
% 20.02/20.24
% 20.02/20.24
% 20.02/20.24 Changing weight limit from 47 to 46.
% 20.02/20.24
% 20.02/20.24 Resetting weight limit to 46 after 415 givens.
% 20.02/20.24
% 20.61/20.82
% 20.61/20.82
% 20.61/20.82 Changing weight limit from 46 to 45.
% 20.61/20.82
% 20.61/20.82 Resetting weight limit to 45 after 425 givens.
% 20.61/20.82
% 21.21/21.45
% 21.21/21.45
% 21.21/21.45 Changing weight limit from 45 to 44.
% 21.21/21.45
% 21.21/21.45 Resetting weight limit to 44 after 435 givens.
% 21.21/21.45
% 21.43/21.68
% 21.43/21.68
% 21.43/21.68 Changing weight limit from 44 to 37.
% 21.43/21.68
% 21.43/21.68 Resetting weight limit to 37 after 440 givens.
% 21.43/21.68
% 21.74/21.95
% 21.74/21.95
% 21.74/21.95 Changing weight limit from 37 to 36.
% 21.74/21.95
% 21.74/21.95 Resetting weight limit to 36 after 445 givens.
% 21.74/21.95
% 21.89/22.15
% 21.89/22.15
% 21.89/22.15 Changing weight limit from 36 to 35.
% 21.89/22.15
% 21.89/22.15 Resetting weight limit to 35 after 450 givens.
% 21.89/22.15
% 22.13/22.35
% 22.13/22.35
% 22.13/22.35 Changing weight limit from 35 to 34.
% 22.13/22.35
% 22.13/22.35 Resetting weight limit to 34 after 455 givens.
% 22.13/22.35
% 22.48/22.68
% 22.48/22.68
% 22.48/22.68 Changing weight limit from 34 to 30.
% 22.48/22.68
% 22.48/22.68 Resetting weight limit to 30 after 460 givens.
% 22.48/22.68
% 28.73/29.00
% 28.73/29.00
% 28.73/29.00 Changing weight limit from 30 to 29.
% 28.73/29.00
% 28.73/29.00 Resetting weight limit to 29 after 660 givens.
% 28.73/29.00
% 29.79/30.07
% 29.79/30.07
% 29.79/30.07 Changing weight limit from 29 to 15.
% 29.79/30.07
% 29.79/30.07 Resetting weight limit to 15 after 740 givens.
% 29.79/30.07
% 29.93/30.16
% 29.93/30.16
% 29.93/30.16 Changing weight limit from 15 to 10.
% 29.93/30.16
% 29.93/30.16 Resetting weight limit to 10 after 745 givens.
% 29.93/30.16
% 31.71/31.97
% 31.71/31.97
% 31.71/31.97 Changing weight limit from 10 to 9.
% 31.71/31.97
% 31.71/31.97 Resetting weight limit to 9 after 1050 givens.
% 31.71/31.97
% 41.02/41.24
% 41.02/41.24
% 41.02/41.24 Changing weight limit from 9 to 8.
% 41.02/41.24
% 41.02/41.24 Resetting weight limit to 8 after 4845 givens.
% 41.02/41.24
% 76.38/76.63
% 76.38/76.63
% 76.38/76.63 Changing weight limit from 8 to 7.
% 76.38/76.63
% 76.38/76.63 Resetting weight limit to 7 after 10450 givens.
% 76.38/76.63
% 83.31/83.56
% 83.31/83.56
% 83.31/83.56 Changing weight limit from 7 to 5.
% 83.31/83.56
% 83.31/83.56 Resetting weight limit to 5 after 11720 givens.
% 83.31/83.56
% 95.02/95.27
% 95.02/95.27
% 95.02/95.27 Changing weight limit from 5 to 6.
% 95.02/95.27
% 95.02/95.27 Resetting weight limit to 6 after 15025 givens.
% 95.02/95.27
% 95.02/95.28
% 95.02/95.28
% 95.02/95.28 Changing weight limit from 6 to 7.
% 95.02/95.28
% 95.02/95.28 Resetting weight limit to 7 after 15030 givens.
% 95.02/95.28
% 95.02/95.28
% 95.02/95.28
% 95.02/95.28 Changing weight limit from 7 to 8.
% 95.02/95.28
% 95.02/95.28 Resetting weight limit to 8 after 15035 givens.
% 95.02/95.28
% 95.02/95.29
% 95.02/95.29
% 95.02/95.29 Changing weight limit from 8 to 9.
% 95.02/95.29
% 95.02/95.29 Resetting weight limit to 9 after 15040 givens.
% 95.02/95.29
% 95.09/95.29
% 95.09/95.29
% 95.09/95.29 Changing weight limit from 9 to 10.
% 95.09/95.29
% 95.09/95.29 Resetting weight limit to 10 after 15045 givens.
% 95.09/95.29
% 95.09/95.30
% 95.09/95.30
% 95.09/95.30 Changing weight limit from 10 to 11.
% 95.09/95.30
% 95.09/95.30 Resetting weight limit to 11 after 15050 givens.
% 95.09/95.30
% 95.23/95.49
% 95.23/95.49
% 95.23/95.49 Changing weight limit from 11 to 10.
% 95.23/95.49
% 95.23/95.49 Resetting weight limit to 10 after 15200 givens.
% 95.23/95.49
% 95.38/95.60
% 95.38/95.60
% 95.38/95.60 Changing weight limit from 10 to 9.
% 95.38/95.60
% 95.38/95.60 Resetting weight limit to 9 after 15255 givens.
% 95.38/95.60
% 96.20/96.45
% 96.20/96.45
% 96.20/96.45 Changing weight limit from 9 to 8.
% 96.20/96.45
% 96.20/96.45 Resetting weight limit to 8 after 15810 givens.
% 96.20/96.45
% 102.42/102.67
% 102.42/102.67 -- HEY sandbox2, WE HAVE A PROOF!! --
% 102.42/102.67
% 102.42/102.67 ----> UNIT CONFLICT at 99.43 sec ----> 186255 [binary,186254.1,113.1] {-} $F.
% 102.42/102.67
% 102.42/102.67 Length of proof is 221. Level of proof is 29.
% 102.42/102.67
% 102.42/102.67 ---------------- PROOF ----------------
% 102.42/102.67 % SZS status Theorem
% 102.42/102.67 % SZS output start Refutation
% 102.42/102.67
% 102.42/102.67 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 102.42/102.67 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 102.42/102.67 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 102.42/102.67 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 102.42/102.67 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 102.42/102.67 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 102.42/102.67 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 102.42/102.67 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 102.42/102.67 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 102.42/102.67 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 102.42/102.67 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 102.42/102.67 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 102.42/102.67 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 102.42/102.67 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 102.42/102.67 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 102.42/102.67 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 102.42/102.68 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 102.42/102.68 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 102.42/102.68 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 102.42/102.68 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 102.42/102.68 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).
% 102.42/102.68 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 102.42/102.68 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 102.42/102.68 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 102.42/102.68 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 102.42/102.68 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 102.42/102.68 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 102.42/102.68 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 102.42/102.68 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 102.42/102.68 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 102.42/102.68 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 102.42/102.68 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 102.42/102.68 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 102.42/102.68 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 102.42/102.68 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 102.42/102.68 113 [] {+} -perp($c5,$c4,$c4,$c2).
% 102.42/102.68 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 102.42/102.68 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 102.42/102.68 123 [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).
% 102.42/102.68 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 102.42/102.68 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 102.42/102.68 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 102.42/102.68 159 [] {-} circle($c7,$c10,$c9,$c8).
% 102.42/102.68 160 [] {-} midp($c6,$c8,$c9).
% 102.42/102.68 161 [] {-} coll($c5,$c7,$c6).
% 102.42/102.68 163 [] {-} perp($c4,$c5,$c10,$c9).
% 102.42/102.68 164 [] {-} coll($c4,$c10,$c9).
% 102.42/102.68 165 [] {-} perp($c3,$c10,$c7,$c6).
% 102.42/102.68 166 [] {-} coll($c3,$c7,$c6).
% 102.42/102.68 167 [] {-} circle($c2,$c4,$c6,$c3).
% 102.42/102.68 169 [hyper,159,99] {-} perp($f12($c10,$c9,$c8,$c7),$c10,$c10,$c7).
% 102.42/102.68 192 [hyper,160,70] {-} coll($c6,$c8,$c9).
% 102.42/102.68 193 [hyper,160,69] {-} cong($c6,$c8,$c6,$c9).
% 102.42/102.68 194 [hyper,160,11] {-} midp($c6,$c9,$c8).
% 102.42/102.68 207 [hyper,161,114] {-} coll($c6,$c6,$c5).
% 102.42/102.68 208 [hyper,161,2] {-} coll($c7,$c5,$c6).
% 102.42/102.68 222 [hyper,164,114] {-} coll($c9,$c9,$c4).
% 102.42/102.68 223 [hyper,164,2] {-} coll($c10,$c4,$c9).
% 102.42/102.68 224 [hyper,164,1] {-} coll($c4,$c9,$c10).
% 102.42/102.68 254 [hyper,166,114] {-} coll($c6,$c6,$c3).
% 102.42/102.68 269 [hyper,192,114] {-} coll($c9,$c9,$c6).
% 102.42/102.68 270 [hyper,192,2] {-} coll($c8,$c6,$c9).
% 102.42/102.68 271 [hyper,192,1] {-} coll($c6,$c9,$c8).
% 102.42/102.68 289 [hyper,194,124] {-} para($c6,$c6,$c8,$c8).
% 102.42/102.68 298 [hyper,194,69] {-} cong($c6,$c9,$c6,$c8).
% 102.42/102.68 315 [hyper,207,1] {-} coll($c6,$c5,$c6).
% 102.42/102.68 328 [hyper,163,8] {-} perp($c10,$c9,$c4,$c5).
% 102.42/102.68 329 [hyper,163,7] {-} perp($c4,$c5,$c9,$c10).
% 102.42/102.68 346 [hyper,208,114] {-} coll($c6,$c6,$c7).
% 102.42/102.68 374 [hyper,222,114] {-} coll($c4,$c4,$c9).
% 102.42/102.68 388 [hyper,223,114] {-} coll($c9,$c9,$c10).
% 102.42/102.68 402 [hyper,165,8] {-} perp($c7,$c6,$c3,$c10).
% 102.42/102.68 403 [hyper,165,7] {-} perp($c3,$c10,$c6,$c7).
% 102.42/102.68 420 [hyper,224,114] {-} coll($c10,$c10,$c4).
% 102.42/102.68 477 [hyper,167,99] {-} perp($f12($c4,$c6,$c3,$c2),$c4,$c4,$c2).
% 102.42/102.68 494 [hyper,269,114] {-} coll($c6,$c6,$c9).
% 102.42/102.68 495 [hyper,269,3,222] {-} coll($c4,$c6,$c9).
% 102.42/102.68 497 [hyper,269,1] {-} coll($c9,$c6,$c9).
% 102.42/102.68 510 [hyper,270,114] {-} coll($c9,$c9,$c8).
% 102.42/102.68 511 [hyper,270,1] {-} coll($c8,$c9,$c6).
% 102.42/102.68 524 [hyper,271,114] {-} coll($c8,$c8,$c6).
% 102.42/102.68 525 [hyper,271,2] {-} coll($c9,$c6,$c8).
% 102.42/102.68 555 [hyper,169,8] {-} perp($c10,$c7,$f12($c10,$c9,$c8,$c7),$c10).
% 102.42/102.68 556 [hyper,169,7] {-} perp($f12($c10,$c9,$c8,$c7),$c10,$c7,$c10).
% 102.42/102.68 589 [hyper,315,114] {-} coll($c6,$c6,$c6).
% 102.42/102.68 603 [hyper,346,114] {-} coll($c7,$c7,$c6).
% 102.42/102.68 761 [hyper,374,1] {-} coll($c4,$c9,$c4).
% 102.42/102.68 788 [hyper,388,114] {-} coll($c10,$c10,$c9).
% 102.42/102.68 789 [hyper,388,3,269] {-} coll($c6,$c10,$c9).
% 102.42/102.68 790 [hyper,388,3,269] {-} coll($c10,$c6,$c9).
% 102.42/102.68 918 [hyper,420,1] {-} coll($c10,$c4,$c10).
% 102.42/102.68 1244 [hyper,494,3,346] {-} coll($c9,$c7,$c6).
% 102.42/102.68 1245 [hyper,494,3,254] {-} coll($c9,$c3,$c6).
% 102.42/102.68 1246 [hyper,494,3,207] {-} coll($c9,$c5,$c6).
% 102.42/102.68 1247 [hyper,494,1] {-} coll($c6,$c9,$c6).
% 102.42/102.68 1260 [hyper,495,1] {-} coll($c4,$c9,$c6).
% 102.42/102.68 1366 [hyper,497,2] {-} coll($c6,$c9,$c9).
% 102.42/102.68 1380 [hyper,510,3,388] {-} coll($c10,$c8,$c9).
% 102.42/102.68 1382 [hyper,510,3,388] {-} coll($c8,$c10,$c9).
% 102.42/102.68 1397 [hyper,511,114] {-} coll($c6,$c6,$c8).
% 102.42/102.68 1491 [hyper,524,1] {-} coll($c8,$c6,$c8).
% 102.42/102.68 1533 [hyper,589,3,494] {-} coll($c9,$c6,$c6).
% 102.42/102.68 1640 [hyper,603,1] {-} coll($c7,$c6,$c7).
% 102.42/102.68 1800 [hyper,761,114] {-} coll($c4,$c4,$c4).
% 102.42/102.68 1900 [hyper,788,1] {-} coll($c10,$c9,$c10).
% 102.42/102.68 1913 [hyper,789,1] {-} coll($c6,$c9,$c10).
% 102.42/102.68 1986 [hyper,790,1] {-} coll($c10,$c9,$c6).
% 102.42/102.68 2096 [hyper,918,3,223] {-} coll($c9,$c10,$c10).
% 102.42/102.68 2430 [hyper,1244,1] {-} coll($c9,$c6,$c7).
% 102.42/102.68 2443 [hyper,1245,1] {-} coll($c9,$c6,$c3).
% 102.42/102.68 2496 [hyper,1246,1] {-} coll($c9,$c6,$c5).
% 102.42/102.68 2509 [hyper,1247,3,271] {-} coll($c8,$c6,$c6).
% 102.42/102.68 2523 [hyper,1260,114] {-} coll($c6,$c6,$c4).
% 102.42/102.68 2525 [hyper,1260,3,761] {-} coll($c4,$c6,$c4).
% 102.42/102.68 2624 [hyper,1380,1] {-} coll($c10,$c9,$c8).
% 102.42/102.68 2692 [hyper,1382,1] {-} coll($c8,$c9,$c10).
% 102.42/102.68 2735 [hyper,1397,3,346] {-} coll($c8,$c7,$c6).
% 102.42/102.68 2806 [hyper,1491,2] {-} coll($c6,$c8,$c8).
% 102.42/102.68 3205 [hyper,1913,3,1247] {-} coll($c10,$c6,$c6).
% 102.42/102.68 3207 [hyper,1913,2] {-} coll($c9,$c6,$c10).
% 102.42/102.68 3252 [hyper,193,23] {-} cong($c6,$c8,$c9,$c6).
% 102.42/102.68 4076 [hyper,2496,3,525] {-} coll($c5,$c8,$c9).
% 102.42/102.68 4131 [hyper,2523,3,254] {-} coll($c3,$c4,$c6).
% 102.42/102.68 4132 [hyper,2523,3,207] {-} coll($c5,$c4,$c6).
% 102.42/102.68 4134 [hyper,2523,3,254] {-} coll($c4,$c3,$c6).
% 102.42/102.68 4135 [hyper,2523,3,207] {-} coll($c4,$c5,$c6).
% 102.42/102.68 4516 [hyper,2624,3,1986] {-} coll($c8,$c6,$c10).
% 102.42/102.68 4517 [hyper,2624,3,1900] {-} coll($c8,$c10,$c10).
% 102.42/102.68 4554 [hyper,2692,3,511] {-} coll($c6,$c10,$c8).
% 102.42/102.68 4668 [hyper,2735,1] {-} coll($c8,$c6,$c7).
% 102.42/102.68 5100 [hyper,3207,3,2430] {-} coll($c10,$c7,$c9).
% 102.42/102.68 6309 [hyper,4076,1] {-} coll($c5,$c9,$c8).
% 102.42/102.68 6349 [hyper,4131,1] {-} coll($c3,$c6,$c4).
% 102.42/102.68 6362 [hyper,4132,1] {-} coll($c5,$c6,$c4).
% 102.42/102.68 6388 [hyper,4134,1] {-} coll($c4,$c6,$c3).
% 102.42/102.68 6401 [hyper,4135,1] {-} coll($c4,$c6,$c5).
% 102.42/102.68 7053 [hyper,4668,3,4516] {-} coll($c7,$c10,$c8).
% 102.42/102.68 7183 [hyper,5100,1] {-} coll($c10,$c9,$c7).
% 102.42/102.68 7382 [hyper,6349,114] {-} coll($c4,$c4,$c3).
% 102.42/102.68 7406 [hyper,6362,114] {-} coll($c4,$c4,$c5).
% 102.42/102.68 7483 [hyper,6401,3,2525] {-} coll($c5,$c4,$c4).
% 102.42/102.68 8013 [hyper,7053,54,159] {-} perp($c10,$c9,$c9,$c8).
% 102.42/102.68 8502 [hyper,7183,114] {-} coll($c7,$c7,$c10).
% 102.42/102.68 9772 [hyper,289,5] {-} para($c8,$c8,$c6,$c6).
% 102.42/102.68 10350 [hyper,298,116] {-} circle($c6,$c9,$c8,$c8).
% 102.42/102.68 10352 [hyper,298,25,193] {-} cong($c6,$c8,$c6,$c8).
% 102.42/102.68 10353 [hyper,298,25,193] {-} cong($c6,$c9,$c6,$c9).
% 102.42/102.68 11101 [hyper,328,9,163] {-} para($c4,$c5,$c4,$c5).
% 102.42/102.68 11103 [hyper,328,7] {-} perp($c10,$c9,$c5,$c4).
% 102.42/102.68 11112 [hyper,329,9,328] {-} para($c10,$c9,$c9,$c10).
% 102.42/102.68 11113 [hyper,329,8] {-} perp($c9,$c10,$c4,$c5).
% 102.42/102.68 11123 [hyper,402,9,165] {-} para($c7,$c6,$c7,$c6).
% 102.42/102.68 11124 [hyper,402,7] {-} perp($c7,$c6,$c10,$c3).
% 102.42/102.68 11134 [hyper,403,8] {-} perp($c6,$c7,$c3,$c10).
% 102.42/102.68 11316 [hyper,3252,24] {-} cong($c9,$c6,$c6,$c8).
% 102.42/102.68 11453 [hyper,8013,9,163] {-} para($c4,$c5,$c9,$c8).
% 102.42/102.68 11454 [hyper,8013,8] {-} perp($c9,$c8,$c10,$c9).
% 102.42/102.68 11455 [hyper,8013,7] {-} perp($c10,$c9,$c8,$c9).
% 102.42/102.68 11905 [hyper,10350,54,271] {-} perp($c9,$c8,$c8,$c8).
% 102.42/102.68 11907 [hyper,10352,125] {-} perp($c6,$c6,$c8,$c8).
% 102.42/102.68 11914 [hyper,10352,68,2806] {-} midp($c6,$c8,$c8).
% 102.42/102.68 11984 [hyper,11914,64,194] {-} para($c9,$c8,$c8,$c8).
% 102.42/102.68 11985 [hyper,11914,64,160] {-} para($c8,$c8,$c9,$c8).
% 102.42/102.68 11991 [hyper,11914,45,160] {-} para($c6,$c6,$c9,$c8).
% 102.42/102.68 12008 [hyper,10353,68,1366] {-} midp($c6,$c9,$c9).
% 102.42/102.68 12009 [hyper,10353,57,10352] {-} perp($c6,$c6,$c8,$c9).
% 102.42/102.68 12010 [hyper,10353,57,10352] {-} perp($c6,$c6,$c9,$c8).
% 102.42/102.68 12513 [hyper,11101,40] {-} eqangle($c4,$c5,A,B,$c4,$c5,A,B).
% 102.42/102.68 12514 [hyper,11101,4] {-} para($c4,$c5,$c5,$c4).
% 102.42/102.68 12790 [hyper,11112,5] {-} para($c9,$c10,$c10,$c9).
% 102.42/102.68 12791 [hyper,11113,9,329] {-} para($c9,$c10,$c9,$c10).
% 102.42/102.68 13068 [hyper,11124,8] {-} perp($c10,$c3,$c7,$c6).
% 102.42/102.68 13207 [hyper,11134,9,403] {-} para($c6,$c7,$c6,$c7).
% 102.42/102.68 13208 [hyper,11134,7] {-} perp($c6,$c7,$c10,$c3).
% 102.42/102.68 13484 [hyper,11316,25,3252] {-} cong($c9,$c6,$c9,$c6).
% 102.42/102.68 13763 [hyper,11905,10,11453] {-} perp($c4,$c5,$c8,$c8).
% 102.42/102.68 13773 [hyper,11907,8] {-} perp($c8,$c8,$c6,$c6).
% 102.42/102.68 13939 [hyper,11984,6,11453] {-} para($c4,$c5,$c8,$c8).
% 102.42/102.68 13941 [hyper,11984,6,9772] {-} para($c9,$c8,$c6,$c6).
% 102.42/102.68 14084 [hyper,11985,10,11454] {-} perp($c8,$c8,$c10,$c9).
% 102.42/102.68 14668 [hyper,12009,8] {-} perp($c8,$c9,$c6,$c6).
% 102.42/102.68 14672 [hyper,12010,9,11454] {-} para($c6,$c6,$c10,$c9).
% 102.42/102.68 15386 [hyper,12514,5] {-} para($c5,$c4,$c4,$c5).
% 102.42/102.68 15391 [hyper,477,8] {-} perp($c4,$c2,$f12($c4,$c6,$c3,$c2),$c4).
% 102.42/102.68 15530 [hyper,12790,10,11455] {-} perp($c9,$c10,$c8,$c9).
% 102.42/102.68 15532 [hyper,12791,129,12008] {-} midp($c6,$c10,$c10).
% 102.42/102.68 15726 [hyper,555,9,169] {-} para($c10,$c7,$c10,$c7).
% 102.42/102.68 15866 [hyper,13068,9,11124] {-} para($c10,$c3,$c10,$c3).
% 102.42/102.68 16142 [hyper,556,9,555] {-} para($c10,$c7,$c7,$c10).
% 102.42/102.68 16165 [hyper,13484,68,1533] {-} midp($c9,$c6,$c6).
% 102.42/102.68 16168 [hyper,16165,129,13207] {-} midp($c9,$c7,$c7).
% 102.42/102.68 16215 [hyper,16168,69] {-} cong($c9,$c7,$c9,$c7).
% 102.42/102.68 16798 [hyper,13763,8] {-} perp($c8,$c8,$c4,$c5).
% 102.42/102.68 17092 [hyper,13773,10,289] {-} perp($c6,$c6,$c6,$c6).
% 102.42/102.68 17652 [hyper,13941,46,16165,2509] {-} midp($c8,$c6,$c6).
% 102.42/102.68 17724 [hyper,14084,9,13763] {-} para($c4,$c5,$c10,$c9).
% 102.42/102.68 18283 [hyper,14672,46,15532,789] {-} midp($c6,$c10,$c9).
% 102.42/102.68 18333 [hyper,18283,46,11991,4554] {-} midp($c6,$c10,$c8).
% 102.42/102.68 18334 [hyper,18283,11] {-} midp($c6,$c9,$c10).
% 102.42/102.68 18390 [hyper,18333,11] {-} midp($c6,$c8,$c10).
% 102.42/102.68 18507 [hyper,18390,64,18334] {-} para($c8,$c9,$c10,$c10).
% 102.42/102.68 18953 [hyper,15386,6,13939] {-} para($c5,$c4,$c8,$c8).
% 102.42/102.68 19374 [hyper,15530,9,14668] {-} para($c9,$c10,$c6,$c6).
% 102.42/102.68 20493 [hyper,15726,129,15532] {-} midp($c6,$c7,$c7).
% 102.42/102.68 20634 [hyper,20493,129,11123] {-} midp($c6,$c6,$c6).
% 102.42/102.68 20696 [hyper,20493,64,18390] {-} para($c7,$c8,$c7,$c10).
% 102.42/102.68 20784 [hyper,20634,46,13207,1640] {-} midp($c7,$c6,$c7).
% 102.42/102.68 20787 [hyper,20634,45,17652] {-} para($c6,$c8,$c6,$c6).
% 102.42/102.68 20788 [hyper,20634,45,16165] {-} para($c6,$c9,$c6,$c6).
% 102.42/102.68 21065 [hyper,15866,129,15532] {-} midp($c6,$c3,$c3).
% 102.42/102.68 21273 [hyper,21065,69] {-} cong($c6,$c3,$c6,$c3).
% 102.42/102.68 21739 [hyper,16215,57,13484] {-} perp($c9,$c9,$c6,$c7).
% 102.42/102.68 25514 [hyper,17724,10,11103] {-} perp($c4,$c5,$c5,$c4).
% 102.42/102.68 32366 [hyper,18953,10,16798] {-} perp($c5,$c4,$c4,$c5).
% 102.42/102.68 32675 [hyper,19374,46,16165,3205] {-} midp($c10,$c6,$c6).
% 102.42/102.68 32679 [hyper,32675,129,13207] {-} midp($c10,$c7,$c7).
% 102.42/102.68 32835 [hyper,32679,46,16142,8502] {-} midp($c7,$c7,$c10).
% 102.42/102.68 32932 [hyper,32835,11] {-} midp($c7,$c10,$c7).
% 102.42/102.68 36154 [hyper,20696,46,32932,4517] {-} midp($c8,$c10,$c10).
% 102.42/102.68 36155 [hyper,20696,46,20784,4516] {-} midp($c8,$c6,$c10).
% 102.42/102.68 36582 [hyper,36154,46,18507,2096] {-} midp($c9,$c10,$c10).
% 102.42/102.68 36749 [hyper,36155,46,18507,3207] {-} midp($c9,$c6,$c10).
% 102.42/102.68 40156 [hyper,36582,129,15866] {-} midp($c9,$c3,$c3).
% 102.42/102.68 42285 [hyper,40156,45,21065] {-} para($c9,$c6,$c3,$c3).
% 102.42/102.68 44749 [hyper,20787,10,17092] {-} perp($c6,$c8,$c6,$c6).
% 102.42/102.68 44771 [hyper,20788,10,17092] {-} perp($c6,$c9,$c6,$c6).
% 102.42/102.68 44926 [hyper,21273,57,10353] {-} perp($c6,$c6,$c3,$c9).
% 102.42/102.68 44927 [hyper,21273,57,10352] {-} perp($c6,$c6,$c3,$c8).
% 102.42/102.68 45187 [hyper,21739,9,13208] {-} para($c9,$c9,$c10,$c3).
% 102.42/102.68 64875 [hyper,12513,43,7406] {-} cyclic($c5,$c5,$c4,$c4).
% 102.42/102.68 64880 [hyper,12513,43,1800] {-} cyclic($c5,$c4,$c4,$c4).
% 102.42/102.68 64933 [hyper,44926,9,44771] {-} para($c6,$c9,$c3,$c9).
% 102.42/102.68 64934 [hyper,44926,9,44749] {-} para($c6,$c8,$c3,$c9).
% 102.42/102.68 64967 [hyper,44927,9,44771] {-} para($c6,$c9,$c3,$c8).
% 102.42/102.68 65233 [hyper,45187,46,36749,2443] {-} midp($c9,$c6,$c3).
% 102.42/102.68 65904 [hyper,65233,46,42285,254] {-} midp($c6,$c6,$c3).
% 102.42/102.68 103854 [hyper,15391,9,477] {-} para($c4,$c2,$c4,$c2).
% 102.42/102.68 114897 [hyper,64875,15] {-} cyclic($c5,$c4,$c5,$c4).
% 102.42/102.68 125033 [hyper,103854,67] {-} coll($c4,$c2,$c2).
% 102.42/102.68 125034 [hyper,125033,114] {-} coll($c2,$c2,$c4).
% 102.42/102.68 125036 [hyper,125034,114] {-} coll($c4,$c4,$c2).
% 102.42/102.68 125054 [hyper,125036,43,12513] {-} cyclic($c5,$c2,$c4,$c4).
% 102.42/102.68 125064 [hyper,125036,3,7382] {-} coll($c2,$c3,$c4).
% 102.42/102.68 125236 [hyper,125064,1] {-} coll($c2,$c4,$c3).
% 102.42/102.68 125391 [hyper,125236,54,167] {-} perp($c4,$c6,$c6,$c3).
% 102.42/102.68 131835 [hyper,114897,14] {-} cyclic($c5,$c4,$c4,$c5).
% 102.42/102.68 136471 [hyper,125054,15] {-} cyclic($c5,$c4,$c2,$c4).
% 102.42/102.68 136472 [hyper,125391,56,65904] {-} cong($c4,$c6,$c4,$c3).
% 102.42/102.68 136982 [hyper,131835,123,64880,12513] {-} cong($c5,$c4,$c5,$c4).
% 102.42/102.68 137829 [hyper,136471,14] {-} cyclic($c5,$c4,$c4,$c2).
% 102.42/102.68 137835 [hyper,136472,68,6388] {-} midp($c4,$c6,$c3).
% 102.42/102.68 137842 [hyper,137835,129,64933] {-} midp($c4,$c9,$c9).
% 102.42/102.68 137854 [hyper,137835,65,64967,64934] {-} midp($c4,$c9,$c8).
% 102.42/102.68 138227 [hyper,137842,46,11453,6309] {-} midp($c5,$c9,$c8).
% 102.42/102.68 139854 [hyper,136982,68,7483] {-} midp($c5,$c4,$c4).
% 102.42/102.68 139877 [hyper,139854,129,11101] {-} midp($c5,$c5,$c5).
% 102.42/102.68 139880 [hyper,139854,64,138227] {-} para($c9,$c4,$c8,$c4).
% 102.42/102.68 139951 [hyper,139854,53,25514] {-} cong($c4,$c5,$c5,$c5).
% 102.42/102.68 140104 [hyper,139877,53,32366] {-} cong($c5,$c5,$c4,$c5).
% 102.42/102.68 144590 [hyper,137829,17,131835] {-} cyclic($c4,$c4,$c5,$c2).
% 102.42/102.68 163218 [hyper,139880,129,137854] {-} midp($c4,$c4,$c4).
% 102.42/102.68 163220 [hyper,163218,129,103854] {-} midp($c4,$c2,$c2).
% 102.42/102.68 163250 [hyper,163220,69] {-} cong($c4,$c2,$c4,$c2).
% 102.42/102.68 163620 [hyper,140104,25,139951] {-} cong($c4,$c5,$c4,$c5).
% 102.42/102.68 186254 [hyper,163620,58,163250,144590] {-} perp($c5,$c4,$c4,$c2).
% 102.42/102.68 186255 [binary,186254.1,113.1] {-} $F.
% 102.42/102.68
% 102.42/102.68 % SZS output end Refutation
% 102.42/102.68 ------------ end of proof -------------
% 102.42/102.68
% 102.42/102.68
% 102.42/102.68 Search stopped by max_proofs option.
% 102.42/102.68
% 102.42/102.68
% 102.42/102.68 Search stopped by max_proofs option.
% 102.42/102.68
% 102.42/102.68 ============ end of search ============
% 102.42/102.68
% 102.42/102.68 That finishes the proof of the theorem.
% 102.42/102.68
% 102.42/102.68 Process 4650 finished Sat Jun 18 12:23:36 2022
%------------------------------------------------------------------------------