TSTP Solution File: GEO580+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO580+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 06:20:59 EDT 2022
% Result : Theorem 73.44s 73.63s
% Output : Refutation 73.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 19:22:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.37 ----- Otter 3.2, August 2001 -----
% 0.19/0.37 The process was started by sandbox on n029.cluster.edu,
% 0.19/0.37 Fri Jun 17 19:22:28 2022
% 0.19/0.37 The command was "./sos". The process ID is 25477.
% 0.19/0.37
% 0.19/0.37 set(prolog_style_variables).
% 0.19/0.37 set(auto).
% 0.19/0.37 dependent: set(auto1).
% 0.19/0.37 dependent: set(process_input).
% 0.19/0.37 dependent: clear(print_kept).
% 0.19/0.37 dependent: clear(print_new_demod).
% 0.19/0.37 dependent: clear(print_back_demod).
% 0.19/0.37 dependent: clear(print_back_sub).
% 0.19/0.37 dependent: set(control_memory).
% 0.19/0.37 dependent: assign(max_mem, 12000).
% 0.19/0.37 dependent: assign(pick_given_ratio, 4).
% 0.19/0.37 dependent: assign(stats_level, 1).
% 0.19/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.37 dependent: assign(sos_limit, 5000).
% 0.19/0.37 dependent: assign(max_weight, 60).
% 0.19/0.37 clear(print_given).
% 0.19/0.37
% 0.19/0.37 formula_list(usable).
% 0.19/0.37
% 0.19/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.37
% 0.19/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.37 clauses in usable.
% 0.19/0.37
% 0.19/0.37 dependent: set(knuth_bendix).
% 0.19/0.37 dependent: set(para_from).
% 0.19/0.37 dependent: set(para_into).
% 0.19/0.37 dependent: clear(para_from_right).
% 0.19/0.37 dependent: clear(para_into_right).
% 0.19/0.37 dependent: set(para_from_vars).
% 0.19/0.37 dependent: set(eq_units_both_ways).
% 0.19/0.37 dependent: set(dynamic_demod_all).
% 0.19/0.37 dependent: set(dynamic_demod).
% 0.19/0.37 dependent: set(order_eq).
% 0.19/0.37 dependent: set(back_demod).
% 0.19/0.37 dependent: set(lrpo).
% 0.19/0.37 dependent: set(hyper_res).
% 0.19/0.37 dependent: set(unit_deletion).
% 0.19/0.37 dependent: set(factor).
% 0.19/0.37
% 0.19/0.37 ------------> process usable:
% 0.19/0.37 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).
% 0.19/0.37
% 0.19/0.37 ------------> process sos:
% 0.19/0.37 Following clause subsumed by 169 during input processing: 0 [copy,169,flip.1] {-} A=A.
% 0.19/0.37 169 back subsumes 146.
% 0.19/0.37 169 back subsumes 145.
% 0.19/0.37 169 back subsumes 144.
% 0.19/0.37 169 back subsumes 143.
% 0.19/0.37
% 0.19/0.37 ======= end of input processing =======
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Failed to model usable list: disabling FINDER
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 -------------- Softie stats --------------
% 0.19/0.44
% 0.19/0.44 UPDATE_STOP: 300
% 0.19/0.44 SFINDER_TIME_LIMIT: 2
% 0.19/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44 number of clauses in intial UL: 154
% 0.19/0.44 number of clauses initially in problem: 165
% 0.19/0.44 percentage of clauses intially in UL: 93
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 90
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 40
% 0.19/0.44 distinct predicate count: 12
% 0.19/0.44 distinct function count: 20
% 0.19/0.44 distinct constant count: 8
% 0.19/0.44
% 0.19/0.44 ---------- no more Softie stats ----------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 =========== start of search ===========
% 10.48/10.73
% 10.48/10.73
% 10.48/10.73 Changing weight limit from 60 to 59.
% 10.48/10.73
% 10.48/10.73 Resetting weight limit to 59 after 225 givens.
% 10.48/10.73
% 11.66/11.86
% 11.66/11.86
% 11.66/11.86 Changing weight limit from 59 to 58.
% 11.66/11.86
% 11.66/11.86 Resetting weight limit to 58 after 230 givens.
% 11.66/11.86
% 11.90/12.11
% 11.90/12.11
% 11.90/12.11 Changing weight limit from 58 to 55.
% 11.90/12.11
% 11.90/12.11 Resetting weight limit to 55 after 235 givens.
% 11.90/12.11
% 18.69/18.93
% 18.69/18.93
% 18.69/18.93 Changing weight limit from 55 to 54.
% 18.69/18.93
% 18.69/18.93 Modelling stopped after 300 given clauses and 0.00 seconds
% 18.69/18.93
% 18.69/18.93
% 18.69/18.93 Resetting weight limit to 54 after 300 givens.
% 18.69/18.93
% 22.14/22.34
% 22.14/22.34
% 22.14/22.34 Changing weight limit from 54 to 51.
% 22.14/22.34
% 22.14/22.34 Resetting weight limit to 51 after 340 givens.
% 22.14/22.34
% 22.24/22.46
% 22.24/22.46
% 22.24/22.46 Changing weight limit from 51 to 50.
% 22.24/22.46
% 22.24/22.46 Resetting weight limit to 50 after 345 givens.
% 22.24/22.46
% 24.27/24.46
% 24.27/24.46
% 24.27/24.46 Changing weight limit from 50 to 49.
% 24.27/24.46
% 24.27/24.46 Resetting weight limit to 49 after 380 givens.
% 24.27/24.46
% 25.27/25.50
% 25.27/25.50
% 25.27/25.50 Changing weight limit from 49 to 45.
% 25.27/25.50
% 25.27/25.50 Resetting weight limit to 45 after 390 givens.
% 25.27/25.50
% 25.71/25.92
% 25.71/25.92
% 25.71/25.92 Changing weight limit from 45 to 35.
% 25.71/25.92
% 25.71/25.92 Resetting weight limit to 35 after 395 givens.
% 25.71/25.92
% 25.99/26.20
% 25.99/26.20
% 25.99/26.20 Changing weight limit from 35 to 34.
% 25.99/26.20
% 25.99/26.20 Resetting weight limit to 34 after 400 givens.
% 25.99/26.20
% 26.72/26.92
% 26.72/26.92
% 26.72/26.92 Changing weight limit from 34 to 31.
% 26.72/26.92
% 26.72/26.92 Resetting weight limit to 31 after 410 givens.
% 26.72/26.92
% 27.15/27.38
% 27.15/27.38
% 27.15/27.38 Changing weight limit from 31 to 30.
% 27.15/27.38
% 27.15/27.38 Resetting weight limit to 30 after 425 givens.
% 27.15/27.38
% 33.65/33.84
% 33.65/33.84
% 33.65/33.84 Changing weight limit from 30 to 29.
% 33.65/33.84
% 33.65/33.84 Resetting weight limit to 29 after 685 givens.
% 33.65/33.84
% 34.56/34.78
% 34.56/34.78
% 34.56/34.78 Changing weight limit from 29 to 11.
% 34.56/34.78
% 34.56/34.78 Resetting weight limit to 11 after 745 givens.
% 34.56/34.78
% 34.63/34.83
% 34.63/34.83
% 34.63/34.83 Changing weight limit from 11 to 10.
% 34.63/34.83
% 34.63/34.83 Resetting weight limit to 10 after 760 givens.
% 34.63/34.83
% 36.80/37.02
% 36.80/37.02
% 36.80/37.02 Changing weight limit from 10 to 9.
% 36.80/37.02
% 36.80/37.02 Resetting weight limit to 9 after 1260 givens.
% 36.80/37.02
% 48.08/48.26
% 48.08/48.26
% 48.08/48.26 Changing weight limit from 9 to 8.
% 48.08/48.26
% 48.08/48.26 Resetting weight limit to 8 after 3665 givens.
% 48.08/48.26
% 60.93/61.16
% 60.93/61.16
% 60.93/61.16 Changing weight limit from 8 to 7.
% 60.93/61.16
% 60.93/61.16 Resetting weight limit to 7 after 5685 givens.
% 60.93/61.16
% 61.22/61.43
% 61.22/61.43
% 61.22/61.43 Changing weight limit from 7 to 5.
% 61.22/61.43
% 61.22/61.43 Resetting weight limit to 5 after 5750 givens.
% 61.22/61.43
% 72.26/72.44
% 72.26/72.44
% 72.26/72.44 Changing weight limit from 5 to 6.
% 72.26/72.44
% 72.26/72.44 Resetting weight limit to 6 after 11175 givens.
% 72.26/72.44
% 72.26/72.45
% 72.26/72.45
% 72.26/72.45 Changing weight limit from 6 to 7.
% 72.26/72.45
% 72.26/72.45 Resetting weight limit to 7 after 11180 givens.
% 72.26/72.45
% 72.26/72.45
% 72.26/72.45
% 72.26/72.45 Changing weight limit from 7 to 8.
% 72.26/72.45
% 72.26/72.45 Resetting weight limit to 8 after 11185 givens.
% 72.26/72.45
% 72.26/72.46
% 72.26/72.46
% 72.26/72.46 Changing weight limit from 8 to 9.
% 72.26/72.46
% 72.26/72.46 Resetting weight limit to 9 after 11190 givens.
% 72.26/72.46
% 72.26/72.46
% 72.26/72.46
% 72.26/72.46 Changing weight limit from 9 to 10.
% 72.26/72.46
% 72.26/72.46 Resetting weight limit to 10 after 11195 givens.
% 72.26/72.46
% 72.94/73.13
% 72.94/73.13
% 72.94/73.13 Changing weight limit from 10 to 9.
% 72.94/73.13
% 72.94/73.13 Resetting weight limit to 9 after 11440 givens.
% 72.94/73.13
% 73.44/73.63
% 73.44/73.63 -- HEY sandbox, WE HAVE A PROOF!! --
% 73.44/73.63
% 73.44/73.63 ----> UNIT CONFLICT at 71.66 sec ----> 282152 [binary,282151.1,113.1] {-} $F.
% 73.44/73.63
% 73.44/73.63 Length of proof is 191. Level of proof is 19.
% 73.44/73.63
% 73.44/73.63 ---------------- PROOF ----------------
% 73.44/73.63 % SZS status Theorem
% 73.44/73.63 % SZS output start Refutation
% 73.44/73.63
% 73.44/73.63 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 73.44/73.63 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 73.44/73.63 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 73.44/73.63 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 73.44/73.63 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 73.44/73.63 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 73.44/73.63 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 73.44/73.63 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 73.44/73.63 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 73.44/73.63 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 73.44/73.63 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 73.44/73.63 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 73.44/73.63 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 73.44/73.63 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 73.44/73.63 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 73.44/73.63 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 73.44/73.63 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 73.44/73.63 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 73.44/73.63 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 73.44/73.63 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).
% 73.44/73.63 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 73.44/73.63 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 73.44/73.63 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 73.44/73.63 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 73.44/73.63 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 73.44/73.63 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 73.44/73.63 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 73.44/73.63 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 73.44/73.63 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 73.44/73.63 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 73.44/73.63 113 [] {+} -cyclic($c4,$c3,$c2,$c1).
% 73.44/73.63 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 73.44/73.63 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 73.44/73.63 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 73.44/73.63 118 [factor,13.1.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,C).
% 73.44/73.63 119 [factor,13.2.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,D).
% 73.44/73.63 121 [factor,44.1.2] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,D)|cong(A,B,D,D).
% 73.44/73.63 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 73.44/73.63 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 73.44/73.63 154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 73.44/73.63 155 [factor,121.1.2] {+} -cyclic(A,B,C,D)| -eqangle(C,A,C,B,D,D,D,D)|cong(A,B,D,D).
% 73.44/73.63 159 [] {-} eqangle($c5,$c8,$c8,$c7,$c5,$c8,$c8,$c6).
% 73.44/73.63 160 [] {-} eqangle($c5,$c7,$c7,$c6,$c5,$c7,$c7,$c8).
% 73.44/73.63 161 [] {-} eqangle($c5,$c6,$c6,$c8,$c5,$c6,$c6,$c7).
% 73.44/73.63 162 [] {-} perp($c4,$c8,$c7,$c6).
% 73.44/73.63 163 [] {-} coll($c4,$c7,$c6).
% 73.44/73.63 164 [] {-} perp($c3,$c7,$c8,$c5).
% 73.44/73.63 165 [] {-} coll($c3,$c8,$c5).
% 73.44/73.63 166 [] {-} perp($c2,$c6,$c8,$c5).
% 73.44/73.63 167 [] {-} coll($c2,$c8,$c5).
% 73.44/73.63 168 [] {-} midp($c1,$c6,$c7).
% 73.44/73.63 172 [hyper,159,19] {-} eqangle($c8,$c7,$c5,$c8,$c8,$c6,$c5,$c8).
% 73.44/73.63 206 [hyper,163,114] {-} coll($c6,$c6,$c4).
% 73.44/73.63 207 [hyper,163,2] {-} coll($c7,$c4,$c6).
% 73.44/73.63 208 [hyper,163,1] {-} coll($c4,$c6,$c7).
% 73.44/73.63 221 [hyper,165,114] {-} coll($c5,$c5,$c3).
% 73.44/73.63 223 [hyper,165,1] {-} coll($c3,$c5,$c8).
% 73.44/73.63 236 [hyper,167,114] {-} coll($c5,$c5,$c2).
% 73.44/73.63 238 [hyper,167,1] {-} coll($c2,$c5,$c8).
% 73.44/73.63 253 [hyper,160,19] {-} eqangle($c7,$c6,$c5,$c7,$c7,$c8,$c5,$c7).
% 73.44/73.63 292 [hyper,168,124] {-} para($c1,$c1,$c7,$c7).
% 73.44/73.63 293 [hyper,168,70] {-} coll($c1,$c6,$c7).
% 73.44/73.63 294 [hyper,168,69] {-} cong($c1,$c6,$c1,$c7).
% 73.44/73.63 295 [hyper,168,11] {-} midp($c1,$c7,$c6).
% 73.44/73.63 322 [hyper,207,114] {-} coll($c6,$c6,$c7).
% 73.44/73.63 336 [hyper,208,114] {-} coll($c7,$c7,$c4).
% 73.44/73.63 352 [hyper,161,19] {-} eqangle($c6,$c8,$c5,$c6,$c6,$c7,$c5,$c6).
% 73.44/73.63 386 [hyper,221,114] {-} coll($c3,$c3,$c5).
% 73.44/73.63 414 [hyper,223,114] {-} coll($c8,$c8,$c3).
% 73.44/73.63 429 [hyper,236,3,221] {-} coll($c3,$c2,$c5).
% 73.44/73.63 444 [hyper,162,8] {-} perp($c7,$c6,$c4,$c8).
% 73.44/73.63 475 [hyper,238,114] {-} coll($c8,$c8,$c2).
% 73.44/73.63 489 [hyper,293,114] {-} coll($c7,$c7,$c1).
% 73.44/73.63 490 [hyper,293,2] {-} coll($c6,$c1,$c7).
% 73.44/73.63 491 [hyper,293,1] {-} coll($c1,$c7,$c6).
% 73.44/73.63 509 [hyper,295,124] {-} para($c1,$c1,$c6,$c6).
% 73.44/73.63 518 [hyper,295,69] {-} cong($c1,$c7,$c1,$c6).
% 73.44/73.63 519 [hyper,295,64,168] {-} para($c6,$c7,$c7,$c6).
% 73.44/73.63 533 [hyper,164,8] {-} perp($c8,$c5,$c3,$c7).
% 73.44/73.63 579 [hyper,322,1] {-} coll($c6,$c7,$c6).
% 73.44/73.63 606 [hyper,166,8] {-} perp($c8,$c5,$c2,$c6).
% 73.44/73.63 650 [hyper,386,1] {-} coll($c3,$c5,$c3).
% 73.44/73.63 740 [hyper,414,1] {-} coll($c8,$c3,$c8).
% 73.44/73.63 815 [hyper,429,1] {-} coll($c3,$c5,$c2).
% 73.44/73.63 854 [hyper,172,39] {-} para($c8,$c7,$c8,$c6).
% 73.44/73.63 929 [hyper,489,114] {-} coll($c1,$c1,$c7).
% 73.44/73.63 930 [hyper,489,3,336] {-} coll($c4,$c1,$c7).
% 73.44/73.63 931 [hyper,489,3,336] {-} coll($c1,$c4,$c7).
% 73.44/73.63 932 [hyper,489,1] {-} coll($c7,$c1,$c7).
% 73.44/73.63 980 [hyper,490,1] {-} coll($c6,$c7,$c1).
% 73.44/73.63 993 [hyper,491,114] {-} coll($c6,$c6,$c1).
% 73.44/73.63 1394 [hyper,650,3,223] {-} coll($c3,$c8,$c3).
% 73.44/73.63 1744 [hyper,740,114] {-} coll($c8,$c8,$c8).
% 73.44/73.63 1890 [hyper,815,3,223] {-} coll($c2,$c8,$c3).
% 73.44/73.63 2231 [hyper,929,1] {-} coll($c1,$c7,$c1).
% 73.44/73.63 2244 [hyper,930,1] {-} coll($c4,$c7,$c1).
% 73.44/73.63 2257 [hyper,931,1] {-} coll($c1,$c7,$c4).
% 73.44/73.63 2421 [hyper,932,2] {-} coll($c1,$c7,$c7).
% 73.44/73.63 2438 [hyper,980,3,579] {-} coll($c1,$c6,$c6).
% 73.44/73.63 2439 [hyper,980,2] {-} coll($c7,$c6,$c1).
% 73.44/73.63 3696 [hyper,2231,114] {-} coll($c1,$c1,$c1).
% 73.44/73.63 3697 [hyper,2231,3,491] {-} coll($c6,$c1,$c1).
% 73.44/73.63 3698 [hyper,2231,3,491] {-} coll($c1,$c6,$c1).
% 73.44/73.63 3699 [hyper,2231,2] {-} coll($c7,$c1,$c1).
% 73.44/73.63 3717 [hyper,2244,3,163] {-} coll($c1,$c6,$c4).
% 73.44/73.63 3734 [hyper,2257,3,2231] {-} coll($c4,$c1,$c1).
% 73.44/73.63 3735 [hyper,2257,3,491] {-} coll($c4,$c6,$c1).
% 73.44/73.63 4605 [hyper,292,5] {-} para($c7,$c7,$c1,$c1).
% 73.44/73.63 4625 [hyper,294,23] {-} cong($c1,$c6,$c7,$c1).
% 73.44/73.63 4642 [hyper,444,9,162] {-} para($c4,$c8,$c4,$c8).
% 73.44/73.63 4644 [hyper,444,7] {-} perp($c7,$c6,$c8,$c4).
% 73.44/73.63 4799 [hyper,509,5] {-} para($c6,$c6,$c1,$c1).
% 73.44/73.63 4817 [hyper,518,116] {-} circle($c1,$c7,$c6,$c6).
% 73.44/73.63 4819 [hyper,518,25,294] {-} cong($c1,$c6,$c1,$c6).
% 73.44/73.63 4820 [hyper,518,25,294] {-} cong($c1,$c7,$c1,$c7).
% 73.44/73.63 5005 [hyper,533,9,164] {-} para($c8,$c5,$c8,$c5).
% 73.44/73.63 5006 [hyper,533,7] {-} perp($c8,$c5,$c7,$c3).
% 73.44/73.63 5043 [hyper,606,7] {-} perp($c8,$c5,$c6,$c2).
% 73.44/73.63 5108 [hyper,854,67] {-} coll($c8,$c7,$c6).
% 73.44/73.63 5137 [hyper,5108,114] {-} coll($c6,$c6,$c8).
% 73.44/73.63 5147 [hyper,5108,2] {-} coll($c7,$c8,$c6).
% 73.44/73.63 5161 [hyper,5137,114] {-} coll($c8,$c8,$c6).
% 73.44/73.63 5162 [hyper,5137,3,993] {-} coll($c1,$c8,$c6).
% 73.44/73.63 5164 [hyper,5137,3,206] {-} coll($c4,$c8,$c6).
% 73.44/73.63 5165 [hyper,5137,3,993] {-} coll($c8,$c1,$c6).
% 73.44/73.63 5240 [hyper,5147,1] {-} coll($c7,$c6,$c8).
% 73.44/73.63 5306 [hyper,5161,3,1744] {-} coll($c8,$c6,$c8).
% 73.44/73.63 5326 [hyper,5162,1] {-} coll($c1,$c6,$c8).
% 73.44/73.63 5371 [hyper,5164,1] {-} coll($c4,$c6,$c8).
% 73.44/73.63 5393 [hyper,5165,1] {-} coll($c8,$c6,$c1).
% 73.44/73.63 5483 [hyper,5240,3,2439] {-} coll($c1,$c8,$c7).
% 73.44/73.63 5758 [hyper,5326,114] {-} coll($c8,$c8,$c1).
% 73.44/73.63 5759 [hyper,5326,3,3717] {-} coll($c4,$c8,$c1).
% 73.44/73.63 5764 [hyper,5326,3,3698] {-} coll($c8,$c1,$c1).
% 73.44/73.63 5779 [hyper,5371,114] {-} coll($c8,$c8,$c4).
% 73.44/73.63 5780 [hyper,5371,3,3735] {-} coll($c1,$c8,$c4).
% 73.44/73.63 5801 [hyper,5393,3,5306] {-} coll($c8,$c1,$c8).
% 73.44/73.63 5803 [hyper,5393,3,5306] {-} coll($c1,$c8,$c8).
% 73.44/73.63 6400 [hyper,5758,3,414] {-} coll($c3,$c1,$c8).
% 73.44/73.63 6615 [hyper,5779,3,475] {-} coll($c2,$c4,$c8).
% 73.44/73.63 6616 [hyper,5779,3,414] {-} coll($c3,$c4,$c8).
% 73.44/73.63 6619 [hyper,5779,3,414] {-} coll($c4,$c3,$c8).
% 73.44/73.63 8194 [hyper,6400,1] {-} coll($c3,$c8,$c1).
% 73.44/73.63 8370 [hyper,6615,1] {-} coll($c2,$c8,$c4).
% 73.44/73.63 8383 [hyper,6616,1] {-} coll($c3,$c8,$c4).
% 73.44/73.63 8422 [hyper,6619,1] {-} coll($c4,$c8,$c3).
% 73.44/73.63 9229 [hyper,253,39] {-} para($c7,$c6,$c7,$c8).
% 73.44/73.63 9278 [hyper,8370,3,1890] {-} coll($c3,$c4,$c2).
% 73.44/73.63 9300 [hyper,8383,3,8194] {-} coll($c1,$c4,$c3).
% 73.44/73.63 9305 [hyper,8383,3,1394] {-} coll($c3,$c4,$c3).
% 73.44/73.63 9396 [hyper,8422,3,5759] {-} coll($c3,$c1,$c4).
% 73.44/73.63 12211 [hyper,4605,6,292] {-} para($c1,$c1,$c1,$c1).
% 73.44/73.63 12243 [hyper,4625,24] {-} cong($c7,$c1,$c1,$c6).
% 73.44/73.63 12388 [hyper,4642,40] {-} eqangle($c4,$c8,A,B,$c4,$c8,A,B).
% 73.44/73.63 12546 [hyper,4644,10,519] {-} perp($c6,$c7,$c8,$c4).
% 73.44/73.63 12547 [hyper,4644,8] {-} perp($c8,$c4,$c7,$c6).
% 73.44/73.63 13017 [hyper,4817,54,491] {-} perp($c7,$c6,$c6,$c6).
% 73.44/73.63 13033 [hyper,4819,68,2438] {-} midp($c1,$c6,$c6).
% 73.44/73.63 13046 [hyper,352,39] {-} para($c6,$c8,$c6,$c7).
% 73.44/73.63 13083 [hyper,13033,64,295] {-} para($c7,$c6,$c6,$c6).
% 73.44/73.63 13089 [hyper,13033,45,168] {-} para($c1,$c1,$c7,$c6).
% 73.44/73.63 13091 [hyper,13033,45,168] {-} para($c1,$c1,$c6,$c7).
% 73.44/73.63 13111 [hyper,4820,68,2421] {-} midp($c1,$c7,$c7).
% 73.44/73.63 13112 [hyper,4820,57,4819] {-} perp($c1,$c1,$c6,$c7).
% 73.44/73.63 13737 [hyper,5006,8] {-} perp($c7,$c3,$c8,$c5).
% 73.44/73.63 14710 [hyper,9229,5] {-} para($c7,$c8,$c7,$c6).
% 73.44/73.63 14848 [hyper,12211,40] {-} eqangle($c1,$c1,A,B,$c1,$c1,A,B).
% 73.44/73.63 14985 [hyper,12243,25,4625] {-} cong($c7,$c1,$c7,$c1).
% 73.44/73.63 15126 [hyper,12547,9,4644] {-} para($c8,$c4,$c8,$c4).
% 73.44/73.63 15258 [hyper,13017,9,12547] {-} para($c8,$c4,$c6,$c6).
% 73.44/73.63 15430 [hyper,13046,6,519] {-} para($c6,$c8,$c7,$c6).
% 73.44/73.63 15570 [hyper,13083,6,4799] {-} para($c7,$c6,$c1,$c1).
% 73.44/73.63 16137 [hyper,13089,6,9229] {-} para($c1,$c1,$c7,$c8).
% 73.44/73.63 16295 [hyper,13112,9,12546] {-} para($c1,$c1,$c8,$c4).
% 73.44/73.63 17161 [hyper,13737,9,5043] {-} para($c7,$c3,$c6,$c2).
% 73.44/73.63 17162 [hyper,13737,9,5006] {-} para($c7,$c3,$c7,$c3).
% 73.44/73.63 18698 [hyper,14710,65,13111,9229] {-} midp($c1,$c6,$c8).
% 73.44/73.63 18700 [hyper,14710,65,13111,9229] {-} midp($c1,$c8,$c6).
% 73.44/73.63 18762 [hyper,18700,46,13091,5483] {-} midp($c1,$c8,$c7).
% 73.44/73.63 18793 [hyper,18762,11] {-} midp($c1,$c7,$c8).
% 73.44/73.63 19128 [hyper,14985,154] {-} cyclic($c1,$c1,$c1,$c1).
% 73.44/73.63 19132 [hyper,14985,68,3699] {-} midp($c7,$c1,$c1).
% 73.44/73.63 19589 [hyper,15258,6,4799] {-} para($c8,$c4,$c1,$c1).
% 73.44/73.63 20989 [hyper,15570,46,19132,3697] {-} midp($c6,$c1,$c1).
% 73.44/73.63 20991 [hyper,15570,6,15430] {-} para($c6,$c8,$c1,$c1).
% 73.44/73.63 21595 [hyper,16137,46,18762,5803] {-} midp($c1,$c8,$c8).
% 73.44/73.63 21599 [hyper,21595,129,15126] {-} midp($c1,$c4,$c4).
% 73.44/73.63 21600 [hyper,21595,129,5005] {-} midp($c1,$c5,$c5).
% 73.44/73.63 21638 [hyper,21595,69] {-} cong($c1,$c8,$c1,$c8).
% 73.44/73.63 21759 [hyper,21600,69] {-} cong($c1,$c5,$c1,$c5).
% 73.44/73.63 22054 [hyper,16295,46,21595,5780] {-} midp($c1,$c8,$c4).
% 73.44/73.63 22055 [hyper,16295,46,18793,2257] {-} midp($c1,$c7,$c4).
% 73.44/73.63 22056 [hyper,16295,46,18698,3717] {-} midp($c1,$c6,$c4).
% 73.44/73.63 22113 [hyper,22054,69] {-} cong($c1,$c8,$c1,$c4).
% 73.44/73.63 22223 [hyper,22055,11] {-} midp($c1,$c4,$c7).
% 73.44/73.63 22292 [hyper,22056,64,21595] {-} para($c8,$c6,$c8,$c4).
% 73.44/73.63 22311 [hyper,22056,11] {-} midp($c1,$c4,$c6).
% 73.44/73.63 22582 [hyper,22311,64,21595] {-} para($c8,$c4,$c8,$c6).
% 73.44/73.63 23730 [hyper,17162,129,13111] {-} midp($c1,$c3,$c3).
% 73.44/73.63 23872 [hyper,23730,124] {-} para($c1,$c1,$c3,$c3).
% 73.44/73.63 23953 [hyper,23730,64,22054] {-} para($c8,$c3,$c4,$c3).
% 73.44/73.63 23955 [hyper,23730,64,21599] {-} para($c4,$c3,$c4,$c3).
% 73.44/73.63 23958 [hyper,23730,64,18762] {-} para($c8,$c3,$c7,$c3).
% 73.44/73.63 33141 [hyper,20991,46,20989,5764] {-} midp($c8,$c1,$c1).
% 73.44/73.63 33235 [hyper,33141,46,19589,3734] {-} midp($c4,$c1,$c1).
% 73.44/73.63 33238 [hyper,33235,124] {-} para($c4,$c4,$c1,$c1).
% 73.44/73.63 38632 [hyper,21759,57,21638] {-} perp($c1,$c1,$c8,$c5).
% 73.44/73.63 40996 [hyper,22113,119,21638] {-} cyclic($c8,$c8,$c4,$c4).
% 73.44/73.63 41002 [hyper,22113,118,21638] {-} cyclic($c8,$c8,$c4,$c8).
% 73.44/73.63 61657 [hyper,23955,4] {-} para($c4,$c3,$c3,$c4).
% 73.44/73.63 61692 [hyper,23958,6,17161] {-} para($c8,$c3,$c6,$c2).
% 73.44/73.63 63331 [hyper,33238,6,23872] {-} para($c4,$c4,$c3,$c3).
% 73.44/73.63 64354 [hyper,38632,9,5006] {-} para($c1,$c1,$c7,$c3).
% 73.44/73.63 64893 [hyper,41002,121,40996,12388] {-} cong($c8,$c8,$c8,$c8).
% 73.44/73.63 72383 [hyper,14848,155,19128] {-} cong($c1,$c1,$c1,$c1).
% 73.44/73.63 75412 [hyper,64354,46,22223,9300] {-} midp($c1,$c4,$c3).
% 73.44/73.63 75657 [hyper,75412,65,61657,63331] {-} midp($c1,$c3,$c4).
% 73.44/73.63 76338 [hyper,75657,64,21595] {-} para($c8,$c3,$c8,$c4).
% 73.44/73.63 79526 [hyper,64893,68,1744] {-} midp($c8,$c8,$c8).
% 73.44/73.63 79537 [hyper,79526,129,15126] {-} midp($c8,$c4,$c4).
% 73.44/73.63 79662 [hyper,79526,65,22582,22292] {-} midp($c8,$c4,$c6).
% 73.44/73.63 79674 [hyper,79526,64,33141] {-} para($c1,$c8,$c1,$c8).
% 73.44/73.63 80131 [hyper,79537,46,23953,9305] {-} midp($c3,$c4,$c3).
% 73.44/73.63 80822 [hyper,79662,46,61692,9278] {-} midp($c3,$c4,$c2).
% 73.44/73.63 91126 [hyper,80131,69] {-} cong($c3,$c4,$c3,$c3).
% 73.44/73.63 116298 [hyper,80822,69] {-} cong($c3,$c4,$c3,$c2).
% 73.44/73.63 244117 [hyper,72383,68,3696] {-} midp($c1,$c1,$c1).
% 73.44/73.63 247730 [hyper,79674,46,244117,5801] {-} midp($c8,$c1,$c8).
% 73.44/73.63 247736 [hyper,247730,46,76338,9396] {-} midp($c3,$c1,$c4).
% 73.44/73.63 247855 [hyper,247736,11] {-} midp($c3,$c4,$c1).
% 73.44/73.63 249516 [hyper,247855,69] {-} cong($c3,$c4,$c3,$c1).
% 73.44/73.63 282151 [hyper,249516,13,91126,116298] {-} cyclic($c4,$c3,$c2,$c1).
% 73.44/73.63 282152 [binary,282151.1,113.1] {-} $F.
% 73.44/73.63
% 73.44/73.63 % SZS output end Refutation
% 73.44/73.63 ------------ end of proof -------------
% 73.44/73.63
% 73.44/73.63
% 73.44/73.63 Search stopped by max_proofs option.
% 73.44/73.63
% 73.44/73.63
% 73.44/73.63 Search stopped by max_proofs option.
% 73.44/73.63
% 73.44/73.63 ============ end of search ============
% 73.44/73.63
% 73.44/73.63 That finishes the proof of the theorem.
% 73.44/73.63
% 73.44/73.63 Process 25477 finished Fri Jun 17 19:23:41 2022
%------------------------------------------------------------------------------