%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO593+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 06:21:03 EDT 2022
% Result : Theorem 103.73s 104.00s
% Output : Refutation 103.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO593+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 21:25:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.36 ----- Otter 3.2, August 2001 -----
% 0.18/0.36 The process was started by sandbox on n024.cluster.edu,
% 0.18/0.36 Fri Jun 17 21:25:17 2022
% 0.18/0.36 The command was "./sos". The process ID is 3580.
% 0.18/0.36
% 0.18/0.36 set(prolog_style_variables).
% 0.18/0.36 set(auto).
% 0.18/0.36 dependent: set(auto1).
% 0.18/0.36 dependent: set(process_input).
% 0.18/0.36 dependent: clear(print_kept).
% 0.18/0.36 dependent: clear(print_new_demod).
% 0.18/0.36 dependent: clear(print_back_demod).
% 0.18/0.36 dependent: clear(print_back_sub).
% 0.18/0.36 dependent: set(control_memory).
% 0.18/0.36 dependent: assign(max_mem, 12000).
% 0.18/0.36 dependent: assign(pick_given_ratio, 4).
% 0.18/0.36 dependent: assign(stats_level, 1).
% 0.18/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.36 dependent: assign(sos_limit, 5000).
% 0.18/0.36 dependent: assign(max_weight, 60).
% 0.18/0.36 clear(print_given).
% 0.18/0.36
% 0.18/0.36 formula_list(usable).
% 0.18/0.36
% 0.18/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.18/0.36
% 0.18/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.36 clauses in usable.
% 0.18/0.36
% 0.18/0.36 dependent: set(knuth_bendix).
% 0.18/0.36 dependent: set(para_from).
% 0.18/0.36 dependent: set(para_into).
% 0.18/0.36 dependent: clear(para_from_right).
% 0.18/0.36 dependent: clear(para_into_right).
% 0.18/0.36 dependent: set(para_from_vars).
% 0.18/0.36 dependent: set(eq_units_both_ways).
% 0.18/0.36 dependent: set(dynamic_demod_all).
% 0.18/0.36 dependent: set(dynamic_demod).
% 0.18/0.36 dependent: set(order_eq).
% 0.18/0.36 dependent: set(back_demod).
% 0.18/0.36 dependent: set(lrpo).
% 0.18/0.36 dependent: set(hyper_res).
% 0.18/0.36 dependent: set(unit_deletion).
% 0.18/0.36 dependent: set(factor).
% 0.18/0.36
% 0.18/0.36 ------------> process usable:
% 0.18/0.36 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).
% 0.18/0.36
% 0.18/0.36 ------------> process sos:
% 0.18/0.36 Following clause subsumed by 172 during input processing: 0 [copy,172,flip.1] {-} A=A.
% 0.18/0.36 172 back subsumes 146.
% 0.18/0.36 172 back subsumes 145.
% 0.18/0.36 172 back subsumes 144.
% 0.18/0.36 172 back subsumes 143.
% 0.18/0.36
% 0.18/0.36 ======= end of input processing =======
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Failed to model usable list: disabling FINDER
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 -------------- Softie stats --------------
% 0.18/0.43
% 0.18/0.43 UPDATE_STOP: 300
% 0.18/0.43 SFINDER_TIME_LIMIT: 2
% 0.18/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43 number of clauses in intial UL: 154
% 0.18/0.43 number of clauses initially in problem: 168
% 0.18/0.43 percentage of clauses intially in UL: 91
% 0.18/0.43 percentage of distinct symbols occuring in initial UL: 79
% 0.18/0.43 percent of all initial clauses that are short: 100
% 0.18/0.43 absolute distinct symbol count: 44
% 0.18/0.43 distinct predicate count: 12
% 0.18/0.43 distinct function count: 20
% 0.18/0.43 distinct constant count: 12
% 0.18/0.43
% 0.18/0.43 ---------- no more Softie stats ----------
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 =========== start of search ===========
% 6.34/6.53
% 6.34/6.53
% 6.34/6.53 Changing weight limit from 60 to 56.
% 6.34/6.53
% 6.34/6.53 Resetting weight limit to 56 after 250 givens.
% 6.34/6.53
% 8.43/8.65
% 8.43/8.65
% 8.43/8.65 Changing weight limit from 56 to 55.
% 8.43/8.65
% 8.43/8.65 Resetting weight limit to 55 after 265 givens.
% 8.43/8.65
% 9.91/10.15
% 9.91/10.15
% 9.91/10.15 Changing weight limit from 55 to 54.
% 9.91/10.15
% 9.91/10.15 Resetting weight limit to 54 after 280 givens.
% 9.91/10.15
% 10.50/10.73
% 10.50/10.73
% 10.50/10.73 Changing weight limit from 54 to 52.
% 10.50/10.73
% 10.50/10.73 Resetting weight limit to 52 after 290 givens.
% 10.50/10.73
% 11.54/11.76
% 11.54/11.76
% 11.54/11.76 Changing weight limit from 52 to 51.
% 11.54/11.76
% 11.54/11.76 Modelling stopped after 300 given clauses and 0.00 seconds
% 11.54/11.76
% 11.54/11.76
% 11.54/11.76 Resetting weight limit to 51 after 300 givens.
% 11.54/11.76
% 14.35/14.54
% 14.35/14.54
% 14.35/14.54 Changing weight limit from 51 to 50.
% 14.35/14.54
% 14.35/14.54 Resetting weight limit to 50 after 345 givens.
% 14.35/14.54
% 16.71/16.90
% 16.71/16.90
% 16.71/16.90 Changing weight limit from 50 to 49.
% 16.71/16.90
% 16.71/16.90 Resetting weight limit to 49 after 390 givens.
% 16.71/16.90
% 17.40/17.60
% 17.40/17.60
% 17.40/17.60 Changing weight limit from 49 to 47.
% 17.40/17.60
% 17.40/17.60 Resetting weight limit to 47 after 405 givens.
% 17.40/17.60
% 17.58/17.82
% 17.58/17.82
% 17.58/17.82 Changing weight limit from 47 to 46.
% 17.58/17.82
% 17.58/17.82 Resetting weight limit to 46 after 410 givens.
% 17.58/17.82
% 18.15/18.33
% 18.15/18.33
% 18.15/18.33 Changing weight limit from 46 to 45.
% 18.15/18.33
% 18.15/18.33 Resetting weight limit to 45 after 420 givens.
% 18.15/18.33
% 18.64/18.82
% 18.64/18.82
% 18.64/18.82 Changing weight limit from 45 to 44.
% 18.64/18.82
% 18.64/18.82 Resetting weight limit to 44 after 430 givens.
% 18.64/18.82
% 18.81/19.04
% 18.81/19.04
% 18.81/19.04 Changing weight limit from 44 to 36.
% 18.81/19.04
% 18.81/19.04 Resetting weight limit to 36 after 435 givens.
% 18.81/19.04
% 19.21/19.39
% 19.21/19.39
% 19.21/19.39 Changing weight limit from 36 to 35.
% 19.21/19.39
% 19.21/19.39 Resetting weight limit to 35 after 445 givens.
% 19.21/19.39
% 19.43/19.62
% 19.43/19.62
% 19.43/19.62 Changing weight limit from 35 to 34.
% 19.43/19.62
% 19.43/19.62 Resetting weight limit to 34 after 450 givens.
% 19.43/19.62
% 19.65/19.87
% 19.65/19.87
% 19.65/19.87 Changing weight limit from 34 to 33.
% 19.65/19.87
% 19.65/19.87 Resetting weight limit to 33 after 455 givens.
% 19.65/19.87
% 19.81/20.05
% 19.81/20.05
% 19.81/20.05 Changing weight limit from 33 to 31.
% 19.81/20.05
% 19.81/20.05 Resetting weight limit to 31 after 460 givens.
% 19.81/20.05
% 20.21/20.39
% 20.21/20.39
% 20.21/20.39 Changing weight limit from 31 to 30.
% 20.21/20.39
% 20.21/20.39 Resetting weight limit to 30 after 470 givens.
% 20.21/20.39
% 29.84/30.04
% 29.84/30.04
% 29.84/30.04 Changing weight limit from 30 to 29.
% 29.84/30.04
% 29.84/30.04 Resetting weight limit to 29 after 920 givens.
% 29.84/30.04
% 30.88/31.14
% 30.88/31.14
% 30.88/31.14 Changing weight limit from 29 to 14.
% 30.88/31.14
% 30.88/31.14 Resetting weight limit to 14 after 980 givens.
% 30.88/31.14
% 30.99/31.19
% 30.99/31.19
% 30.99/31.19 Changing weight limit from 14 to 11.
% 30.99/31.19
% 30.99/31.19 Resetting weight limit to 11 after 985 givens.
% 30.99/31.19
% 30.99/31.20
% 30.99/31.20
% 30.99/31.20 Changing weight limit from 11 to 10.
% 30.99/31.20
% 30.99/31.20 Resetting weight limit to 10 after 990 givens.
% 30.99/31.20
% 32.70/32.92
% 32.70/32.92
% 32.70/32.92 Changing weight limit from 10 to 9.
% 32.70/32.92
% 32.70/32.92 Resetting weight limit to 9 after 1155 givens.
% 32.70/32.92
% 44.82/45.04
% 44.82/45.04
% 44.82/45.04 Changing weight limit from 9 to 8.
% 44.82/45.04
% 44.82/45.04 Resetting weight limit to 8 after 5450 givens.
% 44.82/45.04
% 70.84/71.06
% 70.84/71.06
% 70.84/71.06 Changing weight limit from 8 to 7.
% 70.84/71.06
% 70.84/71.06 Resetting weight limit to 7 after 10410 givens.
% 70.84/71.06
% 87.47/87.69
% 87.47/87.69
% 87.47/87.69 Changing weight limit from 7 to 5.
% 87.47/87.69
% 87.47/87.69 Resetting weight limit to 5 after 16335 givens.
% 87.47/87.69
% 103.73/104.00
% 103.73/104.00 -- HEY sandbox, WE HAVE A PROOF!! --
% 103.73/104.00
% 103.73/104.00 ----> UNIT CONFLICT at 100.87 sec ----> 167238 [binary,167237.1,113.1] {-} $F.
% 103.73/104.00
% 103.73/104.00 Length of proof is 142. Level of proof is 23.
% 103.73/104.00
% 103.73/104.00 ---------------- PROOF ----------------
% 103.73/104.00 % SZS status Theorem
% 103.73/104.00 % SZS output start Refutation
% 103.73/104.00
% 103.73/104.00 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 103.73/104.00 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 103.73/104.00 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 103.73/104.00 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 103.73/104.00 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 103.73/104.00 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 103.73/104.00 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 103.73/104.00 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 103.73/104.00 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 103.73/104.00 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 103.73/104.00 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 103.73/104.00 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 103.73/104.00 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 103.73/104.00 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 103.73/104.00 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 103.73/104.00 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 103.73/104.00 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 103.73/104.00 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 103.73/104.00 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 103.73/104.00 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).
% 103.73/104.00 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 103.73/104.00 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 103.73/104.00 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 103.73/104.00 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 103.73/104.00 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 103.73/104.00 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 103.73/104.00 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 103.73/104.00 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 103.73/104.00 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 103.73/104.00 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 103.73/104.00 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 103.73/104.00 113 [] {+} -cong($c4,$c10,$c4,$c5).
% 103.73/104.00 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 103.73/104.00 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 103.73/104.00 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 103.73/104.00 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 103.73/104.00 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 103.73/104.00 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 103.73/104.00 159 [] {-} perp($c10,$c12,$c10,$c11).
% 103.73/104.00 160 [] {-} perp($c9,$c10,$c12,$c11).
% 103.73/104.00 161 [] {-} coll($c9,$c12,$c11).
% 103.73/104.00 162 [] {-} midp($c8,$c11,$c12).
% 103.73/104.00 164 [] {-} perp($c7,$c12,$c10,$c8).
% 103.73/104.00 165 [] {-} coll($c7,$c10,$c8).
% 103.73/104.00 168 [] {-} coll($c5,$c11,$c10).
% 103.73/104.00 170 [] {-} coll($c4,$c10,$c9).
% 103.73/104.00 177 [hyper,159,8] {-} perp($c10,$c11,$c10,$c12).
% 103.73/104.00 178 [hyper,159,7] {-} perp($c10,$c12,$c11,$c10).
% 103.73/104.00 195 [hyper,161,114] {-} coll($c11,$c11,$c9).
% 103.73/104.00 196 [hyper,161,2] {-} coll($c12,$c9,$c11).
% 103.73/104.00 197 [hyper,161,1] {-} coll($c9,$c11,$c12).
% 103.73/104.00 216 [hyper,162,70] {-} coll($c8,$c11,$c12).
% 103.73/104.00 217 [hyper,162,69] {-} cong($c8,$c11,$c8,$c12).
% 103.73/104.00 218 [hyper,162,11] {-} midp($c8,$c12,$c11).
% 103.73/104.00 231 [hyper,165,114] {-} coll($c8,$c8,$c7).
% 103.73/104.00 232 [hyper,165,2] {-} coll($c10,$c7,$c8).
% 103.73/104.00 233 [hyper,165,1] {-} coll($c7,$c8,$c10).
% 103.73/104.00 246 [hyper,160,8] {-} perp($c12,$c11,$c9,$c10).
% 103.73/104.00 247 [hyper,160,7] {-} perp($c9,$c10,$c11,$c12).
% 103.73/104.00 279 [hyper,168,114] {-} coll($c10,$c10,$c5).
% 103.73/104.00 281 [hyper,168,1] {-} coll($c5,$c10,$c11).
% 103.73/104.00 309 [hyper,170,114] {-} coll($c9,$c9,$c4).
% 103.73/104.00 310 [hyper,170,2] {-} coll($c10,$c4,$c9).
% 103.73/104.00 311 [hyper,170,1] {-} coll($c4,$c9,$c10).
% 103.73/104.00 356 [hyper,195,114] {-} coll($c9,$c9,$c11).
% 103.73/104.00 370 [hyper,196,114] {-} coll($c11,$c11,$c12).
% 103.73/104.00 371 [hyper,196,1] {-} coll($c12,$c11,$c9).
% 103.73/104.00 398 [hyper,164,8] {-} perp($c10,$c8,$c7,$c12).
% 103.73/104.00 399 [hyper,164,7] {-} perp($c7,$c12,$c8,$c10).
% 103.73/104.00 416 [hyper,216,114] {-} coll($c12,$c12,$c8).
% 103.73/104.00 417 [hyper,216,2] {-} coll($c11,$c8,$c12).
% 103.73/104.00 445 [hyper,218,69] {-} cong($c8,$c12,$c8,$c11).
% 103.73/104.00 461 [hyper,231,1] {-} coll($c8,$c7,$c8).
% 103.73/104.00 474 [hyper,232,114] {-} coll($c8,$c8,$c10).
% 103.73/104.00 506 [hyper,233,2] {-} coll($c8,$c7,$c10).
% 103.73/104.00 596 [hyper,279,1] {-} coll($c10,$c5,$c10).
% 103.73/104.00 623 [hyper,281,114] {-} coll($c11,$c11,$c5).
% 103.73/104.00 725 [hyper,310,114] {-} coll($c9,$c9,$c10).
% 103.73/104.00 773 [hyper,311,114] {-} coll($c10,$c10,$c4).
% 103.73/104.00 865 [hyper,356,1] {-} coll($c9,$c11,$c9).
% 103.73/104.00 893 [hyper,370,1] {-} coll($c11,$c12,$c11).
% 103.73/104.00 906 [hyper,371,114] {-} coll($c9,$c9,$c12).
% 103.73/104.00 924 [hyper,177,9,159] {-} para($c10,$c12,$c10,$c12).
% 103.73/104.00 926 [hyper,177,7] {-} perp($c10,$c11,$c12,$c10).
% 103.73/104.00 969 [hyper,416,114] {-} coll($c8,$c8,$c12).
% 103.73/104.00 972 [hyper,416,1] {-} coll($c12,$c8,$c12).
% 103.73/104.00 985 [hyper,417,1] {-} coll($c11,$c12,$c8).
% 103.73/104.00 999 [hyper,178,8] {-} perp($c11,$c10,$c10,$c12).
% 103.73/104.00 1049 [hyper,461,114] {-} coll($c8,$c8,$c8).
% 103.73/104.00 1063 [hyper,474,114] {-} coll($c10,$c10,$c8).
% 103.73/104.00 1203 [hyper,506,3,461] {-} coll($c10,$c8,$c8).
% 103.73/104.00 1510 [hyper,596,114] {-} coll($c10,$c10,$c10).
% 103.73/104.00 1654 [hyper,623,3,195] {-} coll($c5,$c9,$c11).
% 103.73/104.00 2035 [hyper,725,114] {-} coll($c10,$c10,$c9).
% 103.73/104.00 2439 [hyper,865,3,197] {-} coll($c9,$c12,$c9).
% 103.73/104.00 2623 [hyper,906,3,725] {-} coll($c10,$c12,$c9).
% 103.73/104.00 2761 [hyper,972,2] {-} coll($c8,$c12,$c12).
% 103.73/104.00 2818 [hyper,985,3,893] {-} coll($c8,$c11,$c11).
% 103.73/104.00 3031 [hyper,1049,3,969] {-} coll($c12,$c8,$c8).
% 103.73/104.00 4025 [hyper,1654,1] {-} coll($c5,$c11,$c9).
% 103.73/104.00 4571 [hyper,2035,3,1510] {-} coll($c10,$c9,$c10).
% 103.73/104.00 4916 [hyper,217,116] {-} circle($c8,$c11,$c12,$c12).
% 103.73/104.00 4918 [hyper,217,23] {-} cong($c8,$c11,$c12,$c8).
% 103.73/104.00 5899 [hyper,2623,1] {-} coll($c10,$c9,$c12).
% 103.73/104.00 7051 [hyper,246,9,160] {-} para($c9,$c10,$c9,$c10).
% 103.73/104.00 7053 [hyper,246,7] {-} perp($c12,$c11,$c10,$c9).
% 103.73/104.00 7366 [hyper,4025,114] {-} coll($c9,$c9,$c5).
% 103.73/104.00 8762 [hyper,5899,3,4571] {-} coll($c10,$c12,$c10).
% 103.73/104.00 13075 [hyper,398,9,164] {-} para($c10,$c8,$c10,$c8).
% 103.73/104.00 13085 [hyper,399,9,398] {-} para($c10,$c8,$c8,$c10).
% 103.73/104.00 13086 [hyper,399,8] {-} perp($c8,$c10,$c7,$c12).
% 103.73/104.00 13455 [hyper,445,25,217] {-} cong($c8,$c11,$c8,$c11).
% 103.73/104.00 13456 [hyper,445,25,217] {-} cong($c8,$c12,$c8,$c12).
% 103.73/104.00 13972 [hyper,924,40] {-} eqangle($c10,$c12,A,B,$c10,$c12,A,B).
% 103.73/104.00 14146 [hyper,926,8] {-} perp($c12,$c10,$c10,$c11).
% 103.73/104.00 14483 [hyper,999,53,162] {-} cong($c11,$c8,$c10,$c8).
% 103.73/104.00 14486 [hyper,999,9,178] {-} para($c11,$c10,$c11,$c10).
% 103.73/104.00 14668 [hyper,4916,54,216] {-} perp($c11,$c12,$c12,$c12).
% 103.73/104.00 14670 [hyper,4918,24] {-} cong($c12,$c8,$c8,$c11).
% 103.73/104.00 14842 [hyper,7051,40] {-} eqangle($c9,$c10,A,B,$c9,$c10,A,B).
% 103.73/104.00 15017 [hyper,7053,8] {-} perp($c10,$c9,$c12,$c11).
% 103.73/104.00 15537 [hyper,13085,5] {-} para($c8,$c10,$c10,$c8).
% 103.73/104.00 15538 [hyper,13086,9,399] {-} para($c8,$c10,$c8,$c10).
% 103.73/104.00 16073 [hyper,13455,68,2818] {-} midp($c8,$c11,$c11).
% 103.73/104.00 16138 [hyper,13456,68,2761] {-} midp($c8,$c12,$c12).
% 103.73/104.00 16705 [hyper,14146,9,926] {-} para($c12,$c10,$c12,$c10).
% 103.73/104.00 16706 [hyper,14146,7] {-} perp($c12,$c10,$c11,$c10).
% 103.73/104.00 16915 [hyper,14483,125] {-} perp($c11,$c10,$c8,$c8).
% 103.73/104.00 16919 [hyper,14486,129,16073] {-} midp($c8,$c10,$c10).
% 103.73/104.00 17141 [hyper,16919,129,13075] {-} midp($c8,$c8,$c8).
% 103.73/104.00 17253 [hyper,17141,64,16138] {-} para($c8,$c12,$c8,$c12).
% 103.73/104.00 17604 [hyper,14668,9,247] {-} para($c9,$c10,$c12,$c12).
% 103.73/104.00 17610 [hyper,14670,25,4918] {-} cong($c12,$c8,$c12,$c8).
% 103.73/104.00 17787 [hyper,15017,9,7053] {-} para($c10,$c9,$c10,$c9).
% 103.73/104.00 18134 [hyper,15537,46,16919,1063] {-} midp($c10,$c10,$c8).
% 103.73/104.00 18209 [hyper,18134,69] {-} cong($c10,$c10,$c10,$c8).
% 103.73/104.00 18210 [hyper,18134,11] {-} midp($c10,$c8,$c10).
% 103.73/104.00 18284 [hyper,18210,69] {-} cong($c10,$c8,$c10,$c10).
% 103.73/104.00 21275 [hyper,16915,9,16706] {-} para($c12,$c10,$c8,$c8).
% 103.73/104.00 23951 [hyper,17610,68,3031] {-} midp($c12,$c8,$c8).
% 103.73/104.00 23955 [hyper,23951,129,17253] {-} midp($c12,$c12,$c12).
% 103.73/104.00 24215 [hyper,23955,46,16705,8762] {-} midp($c10,$c12,$c10).
% 103.73/104.00 25107 [hyper,24215,69] {-} cong($c10,$c12,$c10,$c10).
% 103.73/104.00 26480 [hyper,17787,46,24215,2439] {-} midp($c9,$c12,$c9).
% 103.73/104.00 27120 [hyper,26480,11] {-} midp($c9,$c9,$c12).
% 103.73/104.00 27631 [hyper,27120,46,17604,5899] {-} midp($c10,$c9,$c12).
% 103.73/104.00 28209 [hyper,27631,11] {-} midp($c10,$c12,$c9).
% 103.73/104.00 28623 [hyper,28209,69] {-} cong($c10,$c12,$c10,$c9).
% 103.73/104.00 31852 [hyper,18284,25,18209] {-} cong($c10,$c10,$c10,$c10).
% 103.73/104.00 34530 [hyper,21275,46,23951,1203] {-} midp($c10,$c8,$c8).
% 103.73/104.00 34544 [hyper,34530,129,15538] {-} midp($c10,$c10,$c10).
% 103.73/104.00 51680 [hyper,13972,43,773] {-} cyclic($c12,$c4,$c10,$c10).
% 103.73/104.00 51683 [hyper,13972,43,279] {-} cyclic($c12,$c5,$c10,$c10).
% 103.73/104.00 52823 [hyper,28623,117,25107] {-} cyclic($c12,$c10,$c10,$c9).
% 103.73/104.00 56769 [hyper,14842,43,7366] {-} cyclic($c10,$c5,$c9,$c9).
% 103.73/104.00 56772 [hyper,14842,43,309] {-} cyclic($c10,$c4,$c9,$c9).
% 103.73/104.00 96807 [hyper,51680,120] {-} cyclic($c4,$c10,$c10,$c10).
% 103.73/104.00 96809 [hyper,51680,15] {-} cyclic($c12,$c10,$c4,$c10).
% 103.73/104.00 96811 [hyper,51683,120] {-} cyclic($c5,$c10,$c10,$c10).
% 103.73/104.00 96813 [hyper,51683,15] {-} cyclic($c12,$c10,$c5,$c10).
% 103.73/104.00 119394 [hyper,96807,16] {-} cyclic($c10,$c4,$c10,$c10).
% 103.73/104.00 119417 [hyper,96809,14] {-} cyclic($c12,$c10,$c10,$c4).
% 103.73/104.00 119418 [hyper,96811,16] {-} cyclic($c10,$c5,$c10,$c10).
% 103.73/104.00 119423 [hyper,96813,14] {-} cyclic($c12,$c10,$c10,$c5).
% 103.73/104.00 132076 [hyper,119394,15] {-} cyclic($c10,$c10,$c4,$c10).
% 103.73/104.00 132083 [hyper,119417,120] {-} cyclic($c10,$c10,$c4,$c4).
% 103.73/104.00 132093 [hyper,119417,17,52823] {-} cyclic($c10,$c10,$c4,$c9).
% 103.73/104.00 132097 [hyper,119418,15] {-} cyclic($c10,$c10,$c5,$c10).
% 103.73/104.00 132119 [hyper,119423,120] {-} cyclic($c10,$c10,$c5,$c5).
% 103.73/104.00 132120 [hyper,119423,17,119417] {-} cyclic($c10,$c10,$c4,$c5).
% 103.73/104.00 132131 [hyper,119423,17,52823] {-} cyclic($c10,$c10,$c5,$c9).
% 103.73/104.00 134590 [hyper,132093,17,132083] {-} cyclic($c10,$c4,$c9,$c4).
% 103.73/104.00 134591 [hyper,132093,17,132076] {-} cyclic($c10,$c4,$c9,$c10).
% 103.73/104.00 134845 [hyper,132131,17,132119] {-} cyclic($c10,$c5,$c9,$c5).
% 103.73/104.00 134846 [hyper,132131,17,132097] {-} cyclic($c10,$c5,$c9,$c10).
% 103.73/104.00 139004 [hyper,134591,44,134590,56772,14842] {-} cong($c10,$c4,$c10,$c4).
% 103.73/104.00 140900 [hyper,134846,44,134845,56769,14842] {-} cong($c10,$c5,$c10,$c5).
% 103.73/104.00 145294 [hyper,139004,57,31852] {-} perp($c10,$c10,$c4,$c10).
% 103.73/104.00 145449 [hyper,140900,58,139004,132120] {-} perp($c4,$c10,$c10,$c5).
% 103.73/104.00 148487 [hyper,145449,9,145294] {-} para($c10,$c10,$c10,$c5).
% 103.73/104.00 166989 [hyper,148487,46,34544,279] {-} midp($c10,$c10,$c5).
% 103.73/104.00 167237 [hyper,166989,56,145449] {-} cong($c4,$c10,$c4,$c5).
% 103.73/104.00 167238 [binary,167237.1,113.1] {-} $F.
% 103.73/104.00
% 103.73/104.00 % SZS output end Refutation
% 103.73/104.00 ------------ end of proof -------------
% 103.73/104.00
% 103.73/104.00
% 103.73/104.00 Search stopped by max_proofs option.
% 103.73/104.00
% 103.73/104.00
% 103.73/104.00 Search stopped by max_proofs option.
% 103.73/104.00
% 103.73/104.00 ============ end of search ============
% 103.73/104.00
% 103.73/104.00 That finishes the proof of the theorem.
% 103.73/104.00
% 103.73/104.00 Process 3580 finished Fri Jun 17 21:27:01 2022
%------------------------------------------------------------------------------