TSTP Solution File: GEO568+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO568+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 06:20:56 EDT 2022
% Result : Theorem 50.76s 50.98s
% Output : Refutation 50.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO568+1 : TPTP v8.1.0. Released v7.5.0.
% 0.05/0.09 % Command : sos-script %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sat Jun 18 10:23:01 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.08/0.31 ----- Otter 3.2, August 2001 -----
% 0.08/0.31 The process was started by sandbox on n032.cluster.edu,
% 0.08/0.31 Sat Jun 18 10:23:01 2022
% 0.08/0.31 The command was "./sos". The process ID is 14037.
% 0.08/0.31
% 0.08/0.31 set(prolog_style_variables).
% 0.08/0.31 set(auto).
% 0.08/0.31 dependent: set(auto1).
% 0.08/0.31 dependent: set(process_input).
% 0.08/0.31 dependent: clear(print_kept).
% 0.08/0.31 dependent: clear(print_new_demod).
% 0.08/0.31 dependent: clear(print_back_demod).
% 0.08/0.31 dependent: clear(print_back_sub).
% 0.08/0.31 dependent: set(control_memory).
% 0.08/0.31 dependent: assign(max_mem, 12000).
% 0.08/0.31 dependent: assign(pick_given_ratio, 4).
% 0.08/0.31 dependent: assign(stats_level, 1).
% 0.08/0.31 dependent: assign(pick_semantic_ratio, 3).
% 0.08/0.31 dependent: assign(sos_limit, 5000).
% 0.08/0.31 dependent: assign(max_weight, 60).
% 0.08/0.31 clear(print_given).
% 0.08/0.31
% 0.08/0.31 formula_list(usable).
% 0.08/0.31
% 0.08/0.31 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.08/0.31
% 0.08/0.31 This ia a non-Horn set with equality. The strategy will be
% 0.08/0.31 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.08/0.31 unit deletion, with positive clauses in sos and nonpositive
% 0.08/0.31 clauses in usable.
% 0.08/0.31
% 0.08/0.31 dependent: set(knuth_bendix).
% 0.08/0.31 dependent: set(para_from).
% 0.08/0.31 dependent: set(para_into).
% 0.08/0.31 dependent: clear(para_from_right).
% 0.08/0.31 dependent: clear(para_into_right).
% 0.08/0.31 dependent: set(para_from_vars).
% 0.08/0.31 dependent: set(eq_units_both_ways).
% 0.08/0.31 dependent: set(dynamic_demod_all).
% 0.08/0.31 dependent: set(dynamic_demod).
% 0.08/0.31 dependent: set(order_eq).
% 0.08/0.31 dependent: set(back_demod).
% 0.08/0.31 dependent: set(lrpo).
% 0.08/0.31 dependent: set(hyper_res).
% 0.08/0.31 dependent: set(unit_deletion).
% 0.08/0.31 dependent: set(factor).
% 0.08/0.31
% 0.08/0.31 ------------> process usable:
% 0.08/0.31 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).
% 0.08/0.31
% 0.08/0.31 ------------> process sos:
% 0.08/0.31 Following clause subsumed by 169 during input processing: 0 [copy,169,flip.1] {-} A=A.
% 0.08/0.31 169 back subsumes 146.
% 0.08/0.31 169 back subsumes 145.
% 0.08/0.31 169 back subsumes 144.
% 0.08/0.31 169 back subsumes 143.
% 0.08/0.31
% 0.08/0.31 ======= end of input processing =======
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 Failed to model usable list: disabling FINDER
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 -------------- Softie stats --------------
% 0.12/0.36
% 0.12/0.36 UPDATE_STOP: 300
% 0.12/0.36 SFINDER_TIME_LIMIT: 2
% 0.12/0.36 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.36 number of clauses in intial UL: 154
% 0.12/0.36 number of clauses initially in problem: 165
% 0.12/0.36 percentage of clauses intially in UL: 93
% 0.12/0.36 percentage of distinct symbols occuring in initial UL: 87
% 0.12/0.36 percent of all initial clauses that are short: 100
% 0.12/0.36 absolute distinct symbol count: 41
% 0.12/0.36 distinct predicate count: 12
% 0.12/0.36 distinct function count: 20
% 0.12/0.36 distinct constant count: 9
% 0.12/0.36
% 0.12/0.36 ---------- no more Softie stats ----------
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 =========== start of search ===========
% 3.10/3.34
% 3.10/3.34
% 3.10/3.34 Changing weight limit from 60 to 56.
% 3.10/3.34
% 3.10/3.34 Resetting weight limit to 56 after 235 givens.
% 3.10/3.34
% 3.58/3.78
% 3.58/3.78
% 3.58/3.78 Changing weight limit from 56 to 55.
% 3.58/3.78
% 3.58/3.78 Resetting weight limit to 55 after 240 givens.
% 3.58/3.78
% 4.48/4.68
% 4.48/4.68
% 4.48/4.68 Changing weight limit from 55 to 54.
% 4.48/4.68
% 4.48/4.68 Resetting weight limit to 54 after 250 givens.
% 4.48/4.68
% 4.97/5.17
% 4.97/5.17
% 4.97/5.17 Changing weight limit from 54 to 51.
% 4.97/5.17
% 4.97/5.17 Resetting weight limit to 51 after 260 givens.
% 4.97/5.17
% 5.66/5.86
% 5.66/5.86
% 5.66/5.86 Changing weight limit from 51 to 50.
% 5.66/5.86
% 5.66/5.86 Resetting weight limit to 50 after 275 givens.
% 5.66/5.86
% 6.86/7.08
% 6.86/7.08
% 6.86/7.08 Changing weight limit from 50 to 49.
% 6.86/7.08
% 6.86/7.08 Resetting weight limit to 49 after 290 givens.
% 6.86/7.08
% 7.39/7.59
% 7.39/7.59
% 7.39/7.59 Changing weight limit from 49 to 46.
% 7.39/7.59
% 7.39/7.59 Resetting weight limit to 46 after 295 givens.
% 7.39/7.59
% 7.75/8.01
% 7.75/8.01
% 7.75/8.01 Changing weight limit from 46 to 37.
% 7.75/8.01
% 7.75/8.01 Modelling stopped after 300 given clauses and 0.00 seconds
% 7.75/8.01
% 7.75/8.01
% 7.75/8.01 Resetting weight limit to 37 after 300 givens.
% 7.75/8.01
% 8.30/8.50
% 8.30/8.50
% 8.30/8.50 Changing weight limit from 37 to 36.
% 8.30/8.50
% 8.30/8.50 Resetting weight limit to 36 after 310 givens.
% 8.30/8.50
% 9.06/9.27
% 9.06/9.27
% 9.06/9.27 Changing weight limit from 36 to 35.
% 9.06/9.27
% 9.06/9.27 Resetting weight limit to 35 after 330 givens.
% 9.06/9.27
% 9.37/9.60
% 9.37/9.60
% 9.37/9.60 Changing weight limit from 35 to 34.
% 9.37/9.60
% 9.37/9.60 Resetting weight limit to 34 after 340 givens.
% 9.37/9.60
% 9.86/10.05
% 9.86/10.05
% 9.86/10.05 Changing weight limit from 34 to 30.
% 9.86/10.05
% 9.86/10.05 Resetting weight limit to 30 after 345 givens.
% 9.86/10.05
% 13.55/13.80
% 13.55/13.80
% 13.55/13.80 Changing weight limit from 30 to 29.
% 13.55/13.80
% 13.55/13.80 Resetting weight limit to 29 after 570 givens.
% 13.55/13.80
% 14.68/14.90
% 14.68/14.90
% 14.68/14.90 Changing weight limit from 29 to 17.
% 14.68/14.90
% 14.68/14.90 Resetting weight limit to 17 after 700 givens.
% 14.68/14.90
% 14.86/15.06
% 14.86/15.06
% 14.86/15.06 Changing weight limit from 17 to 15.
% 14.86/15.06
% 14.86/15.06 Resetting weight limit to 15 after 705 givens.
% 14.86/15.06
% 14.86/15.11
% 14.86/15.11
% 14.86/15.11 Changing weight limit from 15 to 11.
% 14.86/15.11
% 14.86/15.11 Resetting weight limit to 11 after 710 givens.
% 14.86/15.11
% 14.94/15.17
% 14.94/15.17
% 14.94/15.17 Changing weight limit from 11 to 10.
% 14.94/15.17
% 14.94/15.17 Resetting weight limit to 10 after 740 givens.
% 14.94/15.17
% 17.40/17.63
% 17.40/17.63
% 17.40/17.63 Changing weight limit from 10 to 9.
% 17.40/17.63
% 17.40/17.63 Resetting weight limit to 9 after 1460 givens.
% 17.40/17.63
% 23.64/23.87
% 23.64/23.87
% 23.64/23.87 Changing weight limit from 9 to 8.
% 23.64/23.87
% 23.64/23.87 Resetting weight limit to 8 after 5705 givens.
% 23.64/23.87
% 36.18/36.39
% 36.18/36.39
% 36.18/36.39 Changing weight limit from 8 to 5.
% 36.18/36.39
% 36.18/36.39 Resetting weight limit to 5 after 8835 givens.
% 36.18/36.39
% 50.76/50.98
% 50.76/50.98 -- HEY sandbox, WE HAVE A PROOF!! --
% 50.76/50.98
% 50.76/50.98 ----> UNIT CONFLICT at 48.85 sec ----> 177890 [binary,177889.1,113.1] {-} $F.
% 50.76/50.98
% 50.76/50.98 Length of proof is 178. Level of proof is 19.
% 50.76/50.98
% 50.76/50.98 ---------------- PROOF ----------------
% 50.76/50.98 % SZS status Theorem
% 50.76/50.98 % SZS output start Refutation
% 50.76/50.98
% 50.76/50.98 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 50.76/50.98 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 50.76/50.98 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 50.76/50.98 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 50.76/50.98 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 50.76/50.98 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 50.76/50.98 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 50.76/50.98 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 50.76/50.98 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 50.76/50.98 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 50.76/50.98 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 50.76/50.98 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 50.76/50.98 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 50.76/50.98 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 50.76/50.98 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 50.76/50.98 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 50.76/50.98 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).
% 50.76/50.98 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 50.76/50.98 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 50.76/50.98 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 50.76/50.98 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 50.76/50.98 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 50.76/50.98 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 50.76/50.98 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 50.76/50.98 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 50.76/50.98 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 50.76/50.98 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 50.76/50.98 86 [] {+} -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 50.76/50.98 113 [] {+} -perp($c9,$c6,$c5,$c4).
% 50.76/50.98 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 50.76/50.98 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 50.76/50.98 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 50.76/50.98 121 [factor,44.1.2] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,D)|cong(A,B,D,D).
% 50.76/50.98 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 50.76/50.98 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 50.76/50.98 154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 50.76/50.98 155 [factor,121.1.2] {+} -cyclic(A,B,C,D)| -eqangle(C,A,C,B,D,D,D,D)|cong(A,B,D,D).
% 50.76/50.98 159 [] {-} midp($c3,$c9,$c8).
% 50.76/50.98 160 [] {-} perp($c9,$c8,$c3,$c6).
% 50.76/50.98 161 [] {-} midp($c2,$c9,$c7).
% 50.76/50.98 162 [] {-} perp($c9,$c7,$c2,$c6).
% 50.76/50.98 163 [] {-} midp($c1,$c8,$c7).
% 50.76/50.98 165 [] {-} perp($c5,$c7,$c9,$c8).
% 50.76/50.98 166 [] {-} coll($c5,$c9,$c8).
% 50.76/50.98 167 [] {-} perp($c4,$c8,$c9,$c7).
% 50.76/50.98 168 [] {-} coll($c4,$c9,$c7).
% 50.76/50.98 174 [hyper,159,128] {-} para($c9,$c9,$c8,$c8).
% 50.76/50.98 176 [hyper,159,70] {-} coll($c3,$c9,$c8).
% 50.76/50.98 177 [hyper,159,69] {-} cong($c3,$c9,$c3,$c8).
% 50.76/50.98 178 [hyper,159,11] {-} midp($c3,$c8,$c9).
% 50.76/50.98 205 [hyper,161,70] {-} coll($c2,$c9,$c7).
% 50.76/50.98 206 [hyper,161,69] {-} cong($c2,$c9,$c2,$c7).
% 50.76/50.98 208 [hyper,161,45,159] {-} para($c2,$c3,$c7,$c8).
% 50.76/50.98 209 [hyper,161,11] {-} midp($c2,$c7,$c9).
% 50.76/50.98 239 [hyper,163,86,159] {-} midp($f6($c8,$c7,$c9,$c8,$c1,$c3),$c8,$c8).
% 50.76/50.98 244 [hyper,163,70] {-} coll($c1,$c8,$c7).
% 50.76/50.98 245 [hyper,163,69] {-} cong($c1,$c8,$c1,$c7).
% 50.76/50.98 246 [hyper,163,11] {-} midp($c1,$c7,$c8).
% 50.76/50.98 259 [hyper,166,114] {-} coll($c8,$c8,$c5).
% 50.76/50.98 260 [hyper,166,2] {-} coll($c9,$c5,$c8).
% 50.76/50.98 261 [hyper,166,1] {-} coll($c5,$c8,$c9).
% 50.76/50.98 274 [hyper,160,8] {-} perp($c3,$c6,$c9,$c8).
% 50.76/50.98 275 [hyper,160,7] {-} perp($c9,$c8,$c6,$c3).
% 50.76/50.98 293 [hyper,168,2] {-} coll($c9,$c4,$c7).
% 50.76/50.98 294 [hyper,168,1] {-} coll($c4,$c7,$c9).
% 50.76/50.98 307 [hyper,176,114] {-} coll($c8,$c8,$c3).
% 50.76/50.98 308 [hyper,176,2] {-} coll($c9,$c3,$c8).
% 50.76/50.98 309 [hyper,176,1] {-} coll($c3,$c8,$c9).
% 50.76/50.98 352 [hyper,178,69] {-} cong($c3,$c8,$c3,$c9).
% 50.76/50.98 353 [hyper,178,64,159] {-} para($c9,$c8,$c8,$c9).
% 50.76/50.98 354 [hyper,178,64,159] {-} para($c8,$c9,$c9,$c8).
% 50.76/50.98 355 [hyper,178,45,163] {-} para($c1,$c3,$c7,$c9).
% 50.76/50.98 356 [hyper,178,45,163] {-} para($c3,$c1,$c9,$c7).
% 50.76/50.98 371 [hyper,205,1] {-} coll($c2,$c7,$c9).
% 50.76/50.98 384 [hyper,162,8] {-} perp($c2,$c6,$c9,$c7).
% 50.76/50.98 385 [hyper,162,7] {-} perp($c9,$c7,$c6,$c2).
% 50.76/50.98 440 [hyper,209,69] {-} cong($c2,$c7,$c2,$c9).
% 50.76/50.98 455 [hyper,244,114] {-} coll($c7,$c7,$c1).
% 50.76/50.98 456 [hyper,244,2] {-} coll($c8,$c1,$c7).
% 50.76/50.98 457 [hyper,244,1] {-} coll($c1,$c7,$c8).
% 50.76/50.98 516 [hyper,246,69] {-} cong($c1,$c7,$c1,$c8).
% 50.76/50.98 533 [hyper,259,114] {-} coll($c5,$c5,$c8).
% 50.76/50.98 534 [hyper,259,1] {-} coll($c8,$c5,$c8).
% 50.76/50.98 565 [hyper,260,114] {-} coll($c8,$c8,$c9).
% 50.76/50.98 566 [hyper,260,1] {-} coll($c9,$c8,$c5).
% 50.76/50.98 579 [hyper,261,114] {-} coll($c9,$c9,$c5).
% 50.76/50.98 607 [hyper,293,114] {-} coll($c7,$c7,$c9).
% 50.76/50.98 621 [hyper,165,9,160] {-} para($c5,$c7,$c3,$c6).
% 50.76/50.98 622 [hyper,165,8] {-} perp($c9,$c8,$c5,$c7).
% 50.76/50.98 640 [hyper,294,114] {-} coll($c9,$c9,$c4).
% 50.76/50.98 654 [hyper,307,114] {-} coll($c3,$c3,$c8).
% 50.76/50.98 655 [hyper,307,3,259] {-} coll($c5,$c3,$c8).
% 50.76/50.98 656 [hyper,307,3,259] {-} coll($c3,$c5,$c8).
% 50.76/50.98 670 [hyper,308,1] {-} coll($c9,$c8,$c3).
% 50.76/50.98 683 [hyper,309,114] {-} coll($c9,$c9,$c3).
% 50.76/50.98 684 [hyper,309,2] {-} coll($c8,$c3,$c9).
% 50.76/50.98 697 [hyper,167,9,162] {-} para($c4,$c8,$c2,$c6).
% 50.76/50.98 745 [hyper,371,114] {-} coll($c9,$c9,$c2).
% 50.76/50.98 819 [hyper,456,114] {-} coll($c7,$c7,$c8).
% 50.76/50.98 833 [hyper,457,114] {-} coll($c8,$c8,$c1).
% 50.76/50.98 847 [hyper,533,1] {-} coll($c5,$c8,$c5).
% 50.76/50.98 860 [hyper,534,114] {-} coll($c8,$c8,$c8).
% 50.76/50.98 916 [hyper,565,114] {-} coll($c9,$c9,$c8).
% 50.76/50.98 931 [hyper,566,2] {-} coll($c8,$c9,$c5).
% 50.76/50.98 1092 [hyper,607,114] {-} coll($c9,$c9,$c7).
% 50.76/50.98 1093 [hyper,607,3,455] {-} coll($c1,$c9,$c7).
% 50.76/50.98 1157 [hyper,640,3,579] {-} coll($c5,$c4,$c9).
% 50.76/50.98 1198 [hyper,655,1] {-} coll($c5,$c8,$c3).
% 50.76/50.98 1229 [hyper,656,1] {-} coll($c3,$c8,$c5).
% 50.76/50.98 1256 [hyper,670,3,566] {-} coll($c5,$c3,$c9).
% 50.76/50.98 1271 [hyper,683,3,640] {-} coll($c4,$c3,$c9).
% 50.76/50.98 1273 [hyper,683,1] {-} coll($c9,$c3,$c9).
% 50.76/50.98 1359 [hyper,177,154] {-} cyclic($c9,$c8,$c8,$c8).
% 50.76/50.98 1412 [hyper,745,1] {-} coll($c9,$c2,$c9).
% 50.76/50.98 1675 [hyper,819,114] {-} coll($c8,$c8,$c7).
% 50.76/50.98 1837 [hyper,860,3,833] {-} coll($c1,$c8,$c8).
% 50.76/50.98 1945 [hyper,916,3,745] {-} coll($c8,$c2,$c9).
% 50.76/50.98 2183 [hyper,1092,3,683] {-} coll($c3,$c7,$c9).
% 50.76/50.98 2184 [hyper,1092,3,579] {-} coll($c5,$c7,$c9).
% 50.76/50.98 2186 [hyper,1092,3,683] {-} coll($c7,$c3,$c9).
% 50.76/50.98 2377 [hyper,1157,1] {-} coll($c5,$c9,$c4).
% 50.76/50.98 2485 [hyper,1198,114] {-} coll($c3,$c3,$c5).
% 50.76/50.98 2487 [hyper,1198,3,847] {-} coll($c5,$c3,$c5).
% 50.76/50.98 2508 [hyper,1229,3,309] {-} coll($c5,$c9,$c3).
% 50.76/50.98 2661 [hyper,1271,1] {-} coll($c4,$c9,$c3).
% 50.76/50.98 2687 [hyper,1273,2] {-} coll($c3,$c9,$c9).
% 50.76/50.98 2989 [hyper,1412,2] {-} coll($c2,$c9,$c9).
% 50.76/50.98 3254 [hyper,1675,3,307] {-} coll($c3,$c7,$c8).
% 50.76/50.98 3814 [hyper,1945,1] {-} coll($c8,$c9,$c2).
% 50.76/50.98 4315 [hyper,2183,1] {-} coll($c3,$c9,$c7).
% 50.76/50.98 4328 [hyper,2184,1] {-} coll($c5,$c9,$c7).
% 50.76/50.98 4394 [hyper,2186,1] {-} coll($c7,$c9,$c3).
% 50.76/50.98 4677 [hyper,208,4] {-} para($c2,$c3,$c8,$c7).
% 50.76/50.98 5110 [hyper,2508,3,2377] {-} coll($c4,$c3,$c5).
% 50.76/50.98 5124 [hyper,2661,114] {-} coll($c3,$c3,$c4).
% 50.76/50.98 6743 [hyper,3254,1] {-} coll($c3,$c8,$c7).
% 50.76/50.98 7273 [hyper,3814,3,931] {-} coll($c2,$c5,$c8).
% 50.76/50.98 7358 [hyper,4328,3,2508] {-} coll($c3,$c7,$c5).
% 50.76/50.98 7402 [hyper,4394,114] {-} coll($c3,$c3,$c7).
% 50.76/50.98 8203 [hyper,239,128] {-} para($c8,$c8,$c8,$c8).
% 50.76/50.98 10043 [hyper,274,9,160] {-} para($c9,$c8,$c9,$c8).
% 50.76/50.98 10044 [hyper,274,9,160] {-} para($c3,$c6,$c3,$c6).
% 50.76/50.98 10106 [hyper,275,8] {-} perp($c6,$c3,$c9,$c8).
% 50.76/50.98 11826 [hyper,352,25,177] {-} cong($c3,$c9,$c3,$c9).
% 50.76/50.98 12107 [hyper,354,6,353] {-} para($c8,$c9,$c8,$c9).
% 50.76/50.98 12246 [hyper,355,4] {-} para($c1,$c3,$c9,$c7).
% 50.76/50.98 12394 [hyper,384,9,162] {-} para($c9,$c7,$c9,$c7).
% 50.76/50.98 12400 [hyper,385,8] {-} perp($c6,$c2,$c9,$c7).
% 50.76/50.98 12687 [hyper,440,25,206] {-} cong($c2,$c9,$c2,$c9).
% 50.76/50.98 13248 [hyper,516,25,245] {-} cong($c1,$c8,$c1,$c8).
% 50.76/50.98 13822 [hyper,621,5] {-} para($c3,$c6,$c5,$c7).
% 50.76/50.98 13830 [hyper,622,7] {-} perp($c9,$c8,$c7,$c5).
% 50.76/50.98 13832 [hyper,697,5] {-} para($c2,$c6,$c4,$c8).
% 50.76/50.98 13987 [hyper,1359,120] {-} cyclic($c8,$c8,$c8,$c8).
% 50.76/50.98 15147 [hyper,8203,40] {-} eqangle($c8,$c8,A,B,$c8,$c8,A,B).
% 50.76/50.98 15296 [hyper,10044,67] {-} coll($c3,$c6,$c6).
% 50.76/50.98 15298 [hyper,15296,114] {-} coll($c6,$c6,$c3).
% 50.76/50.98 15307 [hyper,15298,114] {-} coll($c3,$c3,$c6).
% 50.76/50.98 15313 [hyper,15307,3,7402] {-} coll($c7,$c6,$c3).
% 50.76/50.98 15316 [hyper,15307,3,5124] {-} coll($c4,$c6,$c3).
% 50.76/50.98 15317 [hyper,15307,3,2485] {-} coll($c5,$c6,$c3).
% 50.76/50.98 15320 [hyper,15307,3,654] {-} coll($c8,$c6,$c3).
% 50.76/50.98 15334 [hyper,15313,1] {-} coll($c7,$c3,$c6).
% 50.76/50.98 15337 [hyper,15316,1] {-} coll($c4,$c3,$c6).
% 50.76/50.98 15343 [hyper,15317,1] {-} coll($c5,$c3,$c6).
% 50.76/50.98 15345 [hyper,15320,1] {-} coll($c8,$c3,$c6).
% 50.76/50.98 15506 [hyper,15334,3,2186] {-} coll($c6,$c9,$c7).
% 50.76/50.98 15568 [hyper,15337,3,5110] {-} coll($c6,$c5,$c4).
% 50.76/50.98 15591 [hyper,15343,3,2487] {-} coll($c6,$c5,$c5).
% 50.76/50.98 15592 [hyper,15343,3,1256] {-} coll($c6,$c9,$c5).
% 50.76/50.98 15593 [hyper,15343,3,655] {-} coll($c6,$c8,$c5).
% 50.76/50.98 15634 [hyper,15345,3,684] {-} coll($c6,$c9,$c8).
% 50.76/50.98 17715 [hyper,10106,56,159] {-} cong($c6,$c9,$c6,$c8).
% 50.76/50.98 18077 [hyper,11826,68,2687] {-} midp($c3,$c9,$c9).
% 50.76/50.98 18083 [hyper,18077,129,10043] {-} midp($c3,$c8,$c8).
% 50.76/50.98 18108 [hyper,18077,64,178] {-} para($c8,$c9,$c9,$c9).
% 50.76/50.98 18113 [hyper,18077,46,356,1093] {-} midp($c1,$c9,$c7).
% 50.76/50.98 18191 [hyper,18113,64,246] {-} para($c9,$c7,$c7,$c8).
% 50.76/50.98 18192 [hyper,18113,64,163] {-} para($c9,$c8,$c7,$c7).
% 50.76/50.98 19991 [hyper,12400,56,161] {-} cong($c6,$c9,$c6,$c7).
% 50.76/50.98 20694 [hyper,12687,68,2989] {-} midp($c2,$c9,$c9).
% 50.76/50.98 20704 [hyper,20694,129,10043] {-} midp($c2,$c8,$c8).
% 50.76/50.98 20920 [hyper,20704,46,4677,6743] {-} midp($c3,$c8,$c7).
% 50.76/50.98 20921 [hyper,20704,45,18083] {-} para($c3,$c2,$c8,$c8).
% 50.76/50.98 21625 [hyper,13248,68,1837] {-} midp($c1,$c8,$c8).
% 50.76/50.98 21632 [hyper,21625,129,12107] {-} midp($c1,$c9,$c9).
% 50.76/50.98 21803 [hyper,21632,46,12246,4315] {-} midp($c3,$c9,$c7).
% 50.76/50.98 23890 [hyper,13822,4] {-} para($c3,$c6,$c7,$c5).
% 50.76/50.98 24071 [hyper,13830,9,10106] {-} para($c6,$c3,$c7,$c5).
% 50.76/50.98 24245 [hyper,13832,4] {-} para($c2,$c6,$c8,$c4).
% 50.76/50.98 28257 [hyper,17715,68,15634] {-} midp($c6,$c9,$c8).
% 50.76/50.98 28371 [hyper,28257,65,353,174] {-} midp($c6,$c8,$c9).
% 50.76/50.98 29108 [hyper,18108,129,28371] {-} midp($c6,$c9,$c9).
% 50.76/50.98 29274 [hyper,29108,129,12394] {-} midp($c6,$c7,$c7).
% 50.76/50.98 29275 [hyper,29108,129,10043] {-} midp($c6,$c8,$c8).
% 50.76/50.98 38229 [hyper,19991,68,15506] {-} midp($c6,$c9,$c7).
% 50.76/50.98 38364 [hyper,38229,65,18192,18191] {-} midp($c6,$c8,$c7).
% 50.76/50.98 55512 [hyper,23890,46,21803,15592] {-} midp($c6,$c9,$c5).
% 50.76/50.98 55513 [hyper,23890,46,20920,15593] {-} midp($c6,$c8,$c5).
% 50.76/50.98 55690 [hyper,55512,64,29275] {-} para($c8,$c9,$c8,$c5).
% 50.76/50.98 56430 [hyper,24071,46,38364,1229] {-} midp($c3,$c8,$c5).
% 50.76/50.98 56432 [hyper,24071,46,29274,7358] {-} midp($c3,$c7,$c5).
% 50.76/50.98 56654 [hyper,56430,11] {-} midp($c3,$c5,$c8).
% 50.76/50.98 56842 [hyper,56432,11] {-} midp($c3,$c5,$c7).
% 50.76/50.98 56943 [hyper,56654,46,20921,7273] {-} midp($c2,$c5,$c8).
% 50.76/50.98 57145 [hyper,56842,46,23890,15591] {-} midp($c6,$c5,$c5).
% 50.76/50.98 57897 [hyper,57145,69] {-} cong($c6,$c5,$c6,$c5).
% 50.76/50.98 58687 [hyper,24245,46,56943,15568] {-} midp($c6,$c5,$c4).
% 50.76/50.98 58820 [hyper,58687,69] {-} cong($c6,$c5,$c6,$c4).
% 50.76/50.98 97731 [hyper,58820,12,57897] {-} circle($c6,$c5,$c5,$c4).
% 50.76/50.98 99283 [hyper,15147,155,13987] {-} cong($c8,$c8,$c8,$c8).
% 50.76/50.98 122318 [hyper,97731,54,15568] {-} perp($c5,$c5,$c5,$c4).
% 50.76/50.98 122952 [hyper,99283,68,860] {-} midp($c8,$c8,$c8).
% 50.76/50.98 123422 [hyper,122952,46,55690,566] {-} midp($c9,$c8,$c5).
% 50.76/50.98 132670 [hyper,123422,45,55513] {-} para($c9,$c6,$c5,$c5).
% 50.76/50.98 177889 [hyper,132670,10,122318] {-} perp($c9,$c6,$c5,$c4).
% 50.76/50.98 177890 [binary,177889.1,113.1] {-} $F.
% 50.76/50.98
% 50.76/50.98 % SZS output end Refutation
% 50.76/50.98 ------------ end of proof -------------
% 50.76/50.98
% 50.76/50.98
% 50.76/50.98 Search stopped by max_proofs option.
% 50.76/50.98
% 50.76/50.98
% 50.76/50.98 Search stopped by max_proofs option.
% 50.76/50.98
% 50.76/50.98 ============ end of search ============
% 50.76/50.98
% 50.76/50.98 That finishes the proof of the theorem.
% 50.76/50.98
% 50.76/50.98 Process 14037 finished Sat Jun 18 10:23:52 2022
%------------------------------------------------------------------------------